While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no relationship between variables.
What is alternative hypothesis?
The alternative to your research topic is represented by the alternative hypothesis (Ha). It asserts that there is a population-wide impact.
Frequently, your study hypothesis and alternate hypothesis are the same. Alternatively said, it's the assertion that you anticipate or hope will be accurate.
What is meant by a null hypothesis?
A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.
Learn more about null hypothesis
brainly.com/question/28920252
#SPJ4
Consider what you know about the sampling distribution of the sample proportion. This sampling distribution:
a. will become more variable as the sample size increases.
b. will be Normal in shape only if the sample size is at least 100.
c. will have a center equal to the population proportion, or p.
d. has a shape that is skewed to the right, regardless of sample size.
e. is a collection of the parameters of all possible samples of a particular size taken from a particular populatio
From the sampling distribution we know:
a. will become more variable as the sample size increases.
What is sampling distribution?A sampling distribution is the probability distribution of a statistic that was acquired from more samples taken from a certain population. The distribution of frequencies for a variety of potential outcomes that could happen for a population statistic makes up the sampling distribution of a specific population.
When it comes to the spread of all sample proportions, theory predicts behaviour far more accurately than just stating that larger samples have a smaller spread. In actuality, the sample size, n, and the standard deviation of each sample proportion.
Thus, option (a) correctly describe about sampling distribution of the sample proportion.
To know more about sampling distribution refer to:
https://brainly.com/question/15077367
#SPJ4
Helpppppp. Select the matrix that represents the parallelogram.
The correct matrix representation is [tex]\left[\begin{array}{ccc}2&3\\3&-1\\\end{array}\right][/tex]
What are the coordinates of a vector?We can represent a vector pointing at a point by its x coordinate, and y coordinate, and Let us say there are two points represented by their x-, y coordinates as P₁(x₁,y₁) P₂(x₂,y₂)
Given here the points are P₁(2,3) and P₂(3,-1)
Thus by the coordinates of the two vectors, we can represent the matrix
[tex]\left[\begin{array}{ccc}2&3\\3&-1\\\end{array}\right][/tex]
Hence, Option D) is the correct answer.
Learn more about vector matrix here:
https://brainly.com/question/29990847
#SPJ1
Evaluate m³ for m= 3/2.
Answer:8
Step-by-step explanation: isaid it is
please help me! thank you.
The value of side JK in the Rhombus JKLM is 3√41.
What is rhombus?A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape.
Given that,
JKLM is a rhombus,
And side MN = 15 and diagonal JL = 24,
Since, In rhombus diagonal bisects each other at equally at 90°.
Therefore, ∠JNK = 90°, and JN = JL/2 = 12
Also, NK =MN = 15
Use Pythagorean formula to find side JK,
JK² = JN² + NK²
= (12)² + (15)²
= 144 + 225
JK² = 369
JK = 3√41
The required value of side JK is 3√41.
To know more about Rhombus on:
https://brainly.com/question/27870968
#SPJ1
If np is greater than mp, which must be true? segment op is longer than segment mq. segment mn has the same length as segment mp. the measure of angle q equals the measure of angle o. angle o is larger than angle q.
Option D is correct since the side opposite the larger angle is larger and you know that MN>NP, so the angle O's measure is more than the angle Q's measure.
What is angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
Here,
The side that is opposite to the greater angle is greater.
you know that MN>NP.
Then the measure of angle O is larger than the measure of the angle Q.
Because the side opposing the greater angle is larger and you know that MN>NP, option D is true. As a result, the measure of angle O is larger than the measure of angle Q.
To know more about angle,
https://brainly.com/question/6814790
#SPJ4
Angles W and X are complementary. Determine the degree measure of
55. 1°
60. 2°
90°
150. 2°
The degree measure of ∠W if m∠X = 29.8° is 60.2 °.
Given:
Angles W and X are complementary, determine the degree of measure of ∠W if m∠X = 29.8° .
Let x be the measure of angle w.
we know that ,
Complementary angles :
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
m <X + m <W = 90°
substitute angle x value
29.8 ° + x = 90 °
x = 90 ° - 29.8 °
x = 60.2 °
Therefore the degree measure of m <W = 60.2 °.
Learn more about the angles here:
https://brainly.com/question/28451077
#SPJ4
Full question :
Angles W and X are complementary. Determine the degree measure of m <W if m∠X = 29.8°.
Evaluate
-3/4 - (-1/5)
SIMPLEST FORM
The sum of the fractions (- 3/5 + 1/5) in simplest form is - 11/20.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Are two proper fractions - 3/4 and - 1/5, and we are required to take the difference which is,
= - 3/4 - (- 1/5).
Now the negative signs will distribute to positive which is,
= - 3/4 + 1/5.
Now, the LCM of 4 and 5 is 20.
= {(-3×5) + (1×4)}/20.
= (- 15 + 4)/20.
= - 11/20.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ1
Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)
Answer:
x=6
Step-by-step explanation:
4(x+5) =9x+4x-34
1. we can simplifying the right hand side by adding 9x+4x
this gives us
4(x+5)=13x-34
2. we expand the brackets to get
4x+20=13x-34
3. we take the x on one side in this case we will subtract 4x from each side and add 34 on each side to get
54=9x
4. we divide each side by 9 because we want to find the value of x this gives us
6=x
The points (3,r) and (7,-1) lie on a line with slope of -3. Find the missing coordinate r .
Answer:
I'm not sure but x1=3 that's all I know I didn't do it on edge tho
Answer:
r = 11
Step-by-step explanation:
Since we have a slope and one confirmed point, a good approach would be to find the equation of the line that goes through that point. The equation can then be used to find r, for x = 3.
The standard format for an equation of a straight line is y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0). The slope is -3:
y = -3x + b
To find b, enter the given point and solve for b:
-1 = -3*(7) + b [for (7,-1)]
b = 20
The equation for this line is y = -3x + 20
Now enter (3,r)
y = -3x + 20
r = -3(3) + 20
r = 11
The point (3,r) is (3,11)
See the attached graph
Kendall set up 15 rows of chairs in the cafeteria for her school's talent competition. In the first 10 rows, she set up 30 chairs on the left side of the middle aisle and x chairs on the right side. In the last 5 rows, she set up 20 chairs on the left side of the middle aisle and y chairs on the right side to make room for the sound crew.
Pick all the expressions that represent how many chairs Kendall set up. Due tomorrow please help
Total number of seats for the center aisle z = 400 + 10x + Y
The cafeteria would have a total of 3z = 1200 + 30 x + 3y chairs.
What is total?The word "total" refers to the addition of numbers or the destruction of something, and a total is a whole or full sum. In mathematics, adding two or more integers yields the sum. When you multiply 8 by 8, you get 16.
If z represents the total number of seats, then z=z1 + z2.
The equation for the first ten rows would be 10 (30 + x)= z1.
The equation for the final five rows would be 5 (20 + y) = z2.
Therefore, there would be z= z1+ z2 seats in the center aisle.
So total number of chairs in the middle aisle would be
z= z1+ z2
z= 10 ( 30 + x)+5 ( 20 + y)
z= 300 + 10x + 100 + y
z= 400 + 10x + y
The total number of chairs in the cafeteria would be z +z +z ( for the 3 aisle right , middle and left)
3z = 3(400 + 10x + y)
3z= 1200 + 30 x+ 3y
Total number of seats for the center aisle z = 400 + 10x + Y
The cafeteria would have a total of 3z = 1200 + 30 x + 3y chairs.
To know more about total click the link:
brainly.com/question/18559228
#SPJ1
JP Sports sold football boots on its first day of release. SoccerWorld sold 3 as many boots as JP Sports. DirectSportz sold 5 more boots than JP Sports. Each pair of football boots costs £70 The amount of sales from this particular boot totalled £7000
Work out how many pairs were sold by SoccerWorld.
The total number of pairs sold by SoccerWorld is 57
How to determine the total number of pairs sold by SoccerWorld?
From the question, we have the following parameters that can be used in our computation:
SoccerWorld sold 3 as many boots as JP Sports
DirectSportz sold 5 more boots than JP Sports.
Cost of each pair = £70
Amount in sales = £7000
The above parameters means that
s = 3j
d = 5 + j
70(s + d + j) = 7000
Where
j = JP Sports
s = SoccerWorld
d = DirectSportz
Divide both sides of 70(s + d + j) = 7000 by 70
s + d + j = 100
Substitute s = 3j and d = 5 + j
3j + 5 + j + j = 100
Evaluate the like terms
5j = 95
Divide by 5
j = 19
Substitute j = 19 in s = 3j
s = 3 * 19
So, we have
s = 57
Hence, the number of pairs is 57
Read more about system of equations at
brainly.com/question/13729904
#SPJ1
Solve for x ---> -2x - 48 ≥ 10x – 24
Answer:
x = 2
Step-by-step explanation:
-2x - 48 ≥ 10x - 24
-48 + 24 ≥ 10x + 2x
24 = 12x
x = 2
Match the polynomial with its known factor.
(x+5)
(x-5)
(x+10)
(x-10)
x^3-13x^2+25x+50
x^4+7x^3+13x^2+6x-45
Hello,
I hope you and your family are doing well!
The polynomial x^3-13x^2+25x+50 can be factored as (x+5)(x-5)(x+10).
The polynomial x^4+7x^3+13x^2+6x-45 can be factored as (x+5)(x-5)(x+3)(x-3).
So the correct match is:
(x+5) - x^3-13x^2+25x+50
(x-5) - x^3-13x^2+25x+50
(x+10) - x^3-13x^2+25x+50
(x-10) - x^4+7x^3+13x^2+6x-45
Please leave stars and brainliest if you find this answer helpful since it does encourage me to continue helping others.
Happy Holidays!
The triangle congruency theorem can be used to prove △ ≅ △onp.
The triangle congruency theorem which can be used to prove
△ ≅ △onp is ASA (angle side angle)
Let the triangles be ONP and GHL
The congruence theorem, which will demonstrate that "GHL" and "ONP ," are congruent is to be discovered.
As can be seen, side lengths GH of GHL and ON of ONP are equal.
Furthermore, we are informed that mONP = mHKJ.
Since line segments GK and JL connect to produce them, we can see that GHL is the vertical opposite angle of ONP . Therefore, using the vertical angles theorem, mONP congruence mKHJ.
We can see that both triangles contain two congruent angles and one congruent included side; as a result,
GHL ONP by ASA congruence.
To learn more about of angles
brainly.com/question/11707094
#SPJ4
Find the value of X and 2x
Answer:
x=125,2x=250
Step-by-step explanation:
A hexagon sum of angles is 720 degrees.
The sum of the hexagon's angles is 345+3x
345+3x=720
3x=375
x=125
2x=250
The diagram shows a cuboid ABCDEFGH
AG= 24 cm and AB = 2BC.
CG=6cm,
(a) Calculate AB
Length of AB in the cuboid is 20.784cm.
What are basic properties of Cuboid?There are 6 faces, 12 edges, and 8 vertices on a cuboid.
All of the cuboid's faces have rectangular shapes.
The cuboid's opposing edges are parallel to one another.
The three dimensions of a cube are length, width, and height.
All of the angles created at the cuboid's vertices are 90 degree angles.
Length of Diagonal of cuboid is [tex]\sqrt{a^2+b^2+c^2}[/tex], where a,b,c are side lengths of cuboid,
Calculation:Given:
AG=24cm;
AB=2BC;
CG=6m;
We know that diagonal of cuboid length is [tex]\sqrt{a^2+b^2+c^2}[/tex]
Here
Let AB=a, BC=b, CG=c;
So a=2b;
Now
[tex]AG=\sqrt{a^2+b^2+c^2}=\sqrt{(2b)^2+b^2+6^2}=\sqrt{ 5b^2+36 }=24\\5b^2+36=576\\5b^2=540\\b=10.392cm\\AB=a=2b=20.784cm[/tex]
Length of AB in the cuboid is 20.784cm.
To refer more about Cuboids, visit:
https://brainly.com/question/26403859
#SPJ1
will give brainliest
The chart shows the average time spent reading per day for students in an 8th grade class.
The line plot is titled minutes of reading per day, and the horizontal axis is labeled minutes of reading per day. There are 5 dots at 30, 1 dot at 33, 5 dots at 35, 1 dot at 36, 1 dot at 37, 3 dots at 40, 1 dot at 44, one dot at 46, 1 dot at 47, and 1 dot at 50.
Which of the following describes this data set?
Categorical and bivariate
Categorical and univariate
Numerical and bivariate
Numerical and univariate
This data collection may be characterized as numerical and univariate.
What is numerical and univariate?
If the collection of all potential values for a numerical univariate data is finite or countably infinite, the data is discrete. Usually, discrete univariate data are used in counting (such as the number of books read by a person). If the range of all potential values is a set of numbers, then a numerical univariate data is continuous.
Categorical data:
Categorical variables represent different sorts of data that may be categorized. Race, sex, age group, and educational level are some examples of categorical variables.
Data types that may be kept and recognized based on the names or labels assigned to them are referred to as categorical data.
Numerical data refers to the data that is in the form of numbers, and not in any language or descriptive form. Also known as qualitative data as it qualifies data before classifying it.
Over here we have the data for the average time spent reading per day for students in an 8th grade class.
Average Time is a numerical data
Bivariate data deals with two variables univariate data, which is one variable data we have numerical data and one variables so its Numerical and univariate.
To know more about numerical and univariate, click on the link
https://brainly.com/question/29780905
#SPJ1
Is this table proportional?
width of photo (inches)
2
4
5
8
height of photo (inches)
3
6
7
10
No, The given table is not in proportional.
What is Proportional?
Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The table is,
Width of photo Height of photo
2 3
4 6
5 7
8 10
Now,
Since, The table is,
Width of photo Height of photo
2 3
4 6
5 7
8 10
So, By definition of proportional, we get;
⇒ Width /Height = 2 / 3
⇒ Width /Height = 4 / 6 = 2 / 3
⇒ Width /Height = 5 / 7
⇒ Width /Height = 8 / 10 = 4 / 5
Clearly, All the proportion are not in same ratio.
Thus, The given table is not in proportional.
Learn more about the proportion visit:
https://brainly.com/question/870035
#SPJ1
A andwich hop erve 4 ounce of meat and 3 ounce of cheee on each andwich. After making andwiche for an hour, the hop owner ha ued 91 combined ounce of meat and cheee. How many combined ounce of meat and cheee are ued on each (1) andwich?
The combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.
According to the question,
We have the following information:
A sandwich hop serve 4 ounce of meat and 3 ounce of cheese on each sandwich. After making sandwiches for an hour the hop owner has used 91 combined ounce of meat and cheese.
Combined ounces for 1 sandwich:
Ounces of meat + ounces of cheese
4+3
7 ounces
It is given that in an hour 91 ounces of combined cheese and meat are used.
Now, we have:
Number of sandwiches made in 1 hour = 91/7
Number of sandwiches = 13
Ounces of meat used in 13 sandwiches can be found using multiplication as follows:
13*4
Ounces of meat used in 13 sandwiches = 52 ounces
Ounces of cheese used in 13 sandwiches can found using multiplication as follows:
13*3
Ounces of cheese used in 13 sandwiches = 39 ounces
Hence, the combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.
To know more about combined ounces here
https://brainly.com/question/17055514
#SPJ4
Mast 1 broadcast radio signals that can be heard within a radius of 15km.
Mast 2 broadcast radio signals that can be hear within a radius of 20km.
The difference in the areas of the signals based on the information given is 549.5km².
How to calculate the area?The formula to calculate the area of a circle will be:
= πr²
where r = radius
Mast 1 broadcast radio signals that can be heard within a radius of 15km. The area will be:
= πr²
= 3.14 × 15²
= 706.5km²
Mast 2 broadcast radio signals that can be hear within a radius of 20km. The area will be:
= πr²
= 3.14 × 20²
= 1256km²
The difference in the areas will be:
= 1256km² - 706.5km²
= 549.5km²
Learn more about area on:
brainly.com/question/25292087
#SPJ1
Complete question
Mast 1 broadcast radio signals that can be heard within a radius of 15km.
Mast 2 broadcast radio signals that can be hear within a radius of 20km.
Calculate the difference in the areas of the signals.
State all integer values of x in the interval (1, 8) that satisfy the following inequality:
4x - 5 4
Integers lying in between in interval (1, 8) are 3, 4, 5, 6, 7, which satisfy the given inequality.
Explain the term closed interval?Any interval that contains all the limit points is said to be closed. The symbol for it is []. For instance, [2, 5] denotes a value greater or equal to 2 and lower or equal to 5. If one of an open interval's endpoints is present, it is referred to as a half-open interval. These intervals are regarded as closed since the endpoints create a boundary.4x - 5 > 4
4x > 9
x > 2.25
Integers lying in between in open interval (1, 8) are 3, 4, 5, 6, 7
Thus, integers lying in between in interval (1, 8) are 3, 4, 5, 6, 7, which satisfy the given inequality.
To know more about the closed interval, here
https://brainly.com/question/28326234
#SPJ4
The correct question is-
State all integer values of x in the interval (1, 8) that satisfy the following inequality:
4x - 5 > 4
Explain the connection between <2 and
From Properties of Triangles , both figures are connected and angle ∠B or ∠2 is 65°
What are some basic Properties of triangles?Basic properties of triangles are:
1)A triangle's (of all varieties) total sum of angles is 180°.
2)The length of a triangle's two longest sides added together is longer than the third side.
3)Similar to this, the length of the third side of a triangle's third side is shorter than the difference between its two sides.
4)The longest of a triangle's three sides is the side that faces the larger angle.
5)A triangle's exterior angle is always equal to the product of its inner and exterior opposite angles. The outer angle attribute of a triangle refers to this characteristic.
Calculation:As sum of angles in a triangle is 180° and sum of angles on a line is also 180°, both the figures are related.
Sum of angles=180°;
[tex]50+B+65=180;\\B=65[/tex]
∠B=65°
Similarly angle 2 is also 65°
From Properties of Triangles , both figures are connected and angle ∠B or ∠2 is 65°
To refer more about Properties of Triangle, visit:
brainly.com/question/17335144
#SPJ1
Mai plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch m months.
2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.
What is Equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, etc.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.
According to our question-
Mai may view the following number of films each month if he watched two per month:
movies available = n
m = months
2 monthly = 2 m
Hence, 2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.
learn more about equations click here:
brainly.com/question/2972832
#SPJ1
Salma got offered two different job with telecommunication companie with different citie. She ha the option to elect which city he would like to work. A job in Milan offer €70,000 per year. A job in New York offer $102,900 per year. The exchange rate are:
£1 = €1. 18
£1 = $1. 72
Which job ha the higher alary?
According to the exchange rates £1 = €1. 18, £1 = $1. 72 the job in New York will pay Salma the higher salary.
What is greater value mean?In mathematics, the term "more than" refers to an inequality between two values, quantities, or numbers, where one is greater than the other. In other terms, we say that A is more than B when A is greater in contrast to B.
A job in Milan offer €70,000 per year;
And exchange rate are:
£1 = €1. 18
so she will get
£=70,000x1. 18
£=82600
on other hand job in New York offer $102,900 per year. The exchange rate are:
£1 = $1. 72
so she will get
£= 102,900x1. 72
£=176988
So the job in New York will pay her higher salary.
to learn more about greater value visit:
https://brainly.com/question/15404901
#SPJ4
suppose that 60% of adults in district a support a new ballot measure, while 45% of adults in district b support the same measure. polisters take an srs of 200 adults from district a and a separate srs of 100 adults from district b to see the difference between the sample proportions (paps). what will be the shape of the sampling distribution of pa - bb, and why?
120 will be the shape of the sampling distribution.
How do you describe the shape of distribution?Quantitative data's distribution shape may be characterized as having a logical order to the numbers and allowing for the identification of the "low" and "high" end values on the histogram's x-axis. Since qualitative data are not numerical, the distribution shape cannot be specified.
Given that,
Sample size of A, n = 200
Sample size of B, n = 100
Proportion of adults in district A = 60%
Proportion of adults in district B = 45%
In the sample size of 200, the number of adults that support a new ballot measure is:
= (60%) × 200
= 120
Those that oppose is:
= 200 -120
= 80
If 45% supports a new ballot measure in district B, then 55% do not support. The difference between those that support and do not support is:
(55% - 45%) × 100
= 10
Hence, the sampling distribution of p(A) and p(B) is approximately normal, because the number of success in district A is 120.
To know more about sampling distribution refer to:
https://brainly.com/question/12739688
#SPJ4
the combined weight of 4 identical tablet computers and a 4 3-pound laptop is 10.7 pounds. create and solve an equation to find the weight of 1 tablet.
One tablet weighs _ pounds.
One tablet weighs will be 1.93 pounds.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The combined weight of 4 identical tablet computers and a 4 3-pound laptop is 10.7 pounds.
Now,
Let the weight of 1 tablet = x
So, We can formulate;
⇒ 4x + 3 = 10.7
Solve for x as;
⇒ 4x = 10.7 - 3
⇒ 4x = 7.7
⇒ x = 7.7 / 4
⇒ x = 1.93 pounds
Thus, One tablet weighs = 1.93 pounds.
Learn more about the linear expression visit:
https://brainly.com/question/4074386
#SPJ1
The value of a farmhouse, in dollars, x years
from the year it was built can by predicted by the
function () = 65500(1.05)^x
The value of a townhouse, in dollars, x years from
the year it was built can be predicted by the
exponential function shown in the table.
How much more will the townhouse be worth than
the farmhouse 5 years after their build date?
After 5 years the value of the farmhouse would be $23675 more than the value of the farmhouse when it was built.
What is the exponential function?
The exponential function is a mathematical function denoted by [tex]f(x)=e^{x}[/tex]. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
The value of a farmhouse, in dollars, x years from the year it was built can be predicted by the function
[tex]g (x) = 65500(1.05)^x[/tex]
Now the given table shows that the value of the farmhouse over the years
Now the value of the farmhouse when it was built = $70000
Now after 5 years, the cost would be
[tex]g(x) = 65500(1.05)^x\\\\g(5)=65500(1.05)^5\\\\g(5) = 93675\\[/tex]
Now the difference would be = 93675 - 70000
= $23675.
Hence, After 5 years the value of the farmhouse would be $23675 more than the value of the farmhouse when it was built.
To learn more about exponential functions, visit:
https://brainly.com/question/2456547
#SPJ1
Which of the following are rational numbers?
-1 4/53 47.444... 92.555... 99
Answer:
All are rational except 47.444...
If WXYZ is a rhombus,find the measure of ∠XYZ
The measure of ∠XYZ is 112° if WXYZ is a rhombus.
What is meant by rhombus?A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another term for this shape is an equilateral quadrilateral since all of its sides are equal in length. The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond.
Every rhombus is straightforward (does not self-intersect), and it is a particular instance of a parallelogram and a kite. Right-angled rhombuses are called square.
A rhombus's diagonals cut through two opposing angles:
∠YWZ=∠WYZ
Now, we have to substitute ∠YWZ=56° into ∠YWZ=∠WYX: 56°=∠WYX
We have to calculate 56°=∠WYX:∠WYX=56°
The angle addition postulate is, ∠XYZ=∠WYX+∠WYZ
Now, substitute ∠WYZ=56°, ∠WYX=56° into ∠XYZ=∠WYX+∠WYZ
∠XYZ=56°+56°
∠XYZ=112°
To know more about rhombus, visit:
https://brainly.com/question/27870968
#SPJ1
use a single digit times a power of 10 to estimate how many times greater the amount of water is at the Georgia Aquarium
Answer:
The amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.
Step-by-step explanation:
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the tanks at the Georgia Aquarium hold approximately 8.4 × 10⁶ gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water.The number of the time will be calculated as below:-= 8.4 × 10⁶ / 400,000= 20.1
Therefore, the amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.To know more about an expression followbrainly.com/question/15772941#SPJ2