Answer
Step-by-step explanation:
When one dice is rolled, the total sample space = 6 When two dice is rolled, total sample space = 6*6=36 A) P(sum less than 9) = 1 - P(sum greater than or equal to 9) Sample outcomes for sum greater than or equal to 9 = {(3,6),(4,5),(5,4),(6,3),(4,6), (5,5),(6,4), (5,6), (6,5),(6,6)} P(sum greater than or equal to 9) = 10/36 = 5/18 or 0.2778 P(sum less than 9) = 1-5/18 = 13/18 or 0.7222 B)Sample outcomes for sum greater than or equal to 10 = {(4,6),(5,5),(6,4), (5,6),(6,5),(6,6)} P(sum greater than or equal to 10) = 6/36 = 1/6 or 0.1667 C) sample outcomes for event 3 on one die or both = {(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),(1,3),(2,3), (4,3),(5,3),(6,3)} P(3 on one die or both die) = 11/36 or 0.3056
The points (h,0) and ( – 9, – 6) fall on a line with a slope of 6. What is the value of h?
Answer:
-8
Step-by-step explanation:
[tex]\frac{-6-0}{-9-h} = 6\\6(-9-h)=-6\\-9-h=-1\\-h=8\\h=-8[/tex]
The graph of the function f(x) = x - 3x² - 4 is shown below. Choose the best description of
the roots.
&
5
0
OTwo real roots and one non-real roots.
O Four real roots and no non-real roots.
O Two real roots and no non-real roots.
O Two real roots and two non-real roots.
5
The description which represents the roots is Four real roots and no non-real roots.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The graph is given below;
The function can be written as;
f(x) = [tex]x^4[/tex] - 3x² - 4
Then the values of x for which the value of the function is zero will be;
f(x) = 0
f(x) = [tex]x^4[/tex] - 3x² - 4 = 0
Then the function will be f(x) = [tex]x^4[/tex] - 3x² - 4. Then Four real roots and no non-real roots.
More about the function link is given below;
brainly.com/question/5245372
#SPJ1
Information to answer the question.
This data represents the number of jumps in a row 10 students made during a jump-rope competition.
30, 36, 38, 45, 57, 60, 77, 86, 88, 88
What is the interquartile range? Enter the answer in the box.
Jumps
The interquartile range of the number of jumps of the 10 students during the competition is 38.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. The interquartile range is used to determine the variation of a data set.
Th first step is to determine the median of the first half of the dataset. The median of the first half is the first quartile.
First half of the data set: 30, 36, 38, 45, 57
Median = first quartile = 38
The next step is to determine the median of the second half of the dataset. The median of the second half is the third quartile.
Second half of the data set: 60, 77, 86, 88, 88
Median : third quartile = 86
Interquartile range = third quartile - first quartile
86 - 38 = 48
To learn more about interquartile range, please check: https://brainly.com/question/3966385
#SPJ1
x + 3.5 = 4 1/3
×=4/5
×=5/6
×=47/6
Answer:
Step-by-step explanation:
x=0.83
Graph each equation by using the x and y intercepts
Question 2: 5x-2y=7
The x and y intercepts are (7/5, 0) and (0, -7/2) respectively.
What are x and y intercepts?A line crosses the x-axis at the x-intercept, and the y-intercept is where the line crosses the y-axis.We can graph linear equations by considering intercepts.Since the x-intercept lies on the horizontal axis, it is also known as the horizontal intercept.Since the y-intercept lies on the vertical axis, it is also referred to as the vertical intercept.Given equation is 5x-2y = 7.
To find the x-intercept substitute y = 0 in the equation and then solve,
5x - 0 = 7
x = 7/5
So the x-intercept is (7/5, 0).
Similarly, to find the y-intercept substitute x = 0 in the equation and then solve,
0 - 2y = 7
y = -7/2
So the y-intercept is (0, -7/2).
Now, graph the intersections of (7/5, 0) and (0, -7/2).
To learn more about intercepts visit:
https://brainly.com/question/17895188
#SPJ13
Can someone help me?? I really need the help and I would appreciate it! Thank you so much in advance! :)
y= -1/2 x - 5 write in slope intercept form.
Answer:
Hii! This is already written in slope intercept form.
For a refresher, slope intercept form is [tex]y=mx+b[/tex]
[tex]y[/tex] = y-coordinate
[tex]m[/tex] = slope
[tex]x[/tex] = x-coordinate
[tex]b[/tex] = y-intercept
In this equation,
[tex]m[/tex] is [tex]-1/2[/tex]
[tex]b[/tex] is [tex]-5[/tex]
Hope this answers your questions.
need help asap
do please asap
help
The diagram attached below shows the rectangles with the following:
a. Perimeter = 30 cm; b. Perimeter = 30 cm
c. Length = 8 cm; Width = 4 cm
Length = 10 cm; Width = 2 cm
Length = 7 cm; Width = 5 cm
What is the Perimeter of a Rectangle?A rectangle is a four sided shape that has two opposite sides that are parallel and equal to each other.
The perimeter of a rectangle is the sum total of all the four sides of the rectangle and can be calculated using the formula:
Perimeter of a rectangle =2(length + width).
3. a. The diagram of the rectangle that has the following parameters is shown as rectangle 1 in the image attached below, where:
Length of rectangle = 10 cm
Width of rectangle = 5 cm
Perimeter of rectangle 1 = 2(10 + 5) = 30 cm
b. Rectangle 2 in the diagram shows the parameters given:
Length of rectangle = 20 cm
Width of rectangle = 10 cm
Perimeter of rectangle 2 = 2(20 + 10) = 60 cm
c. Rectangles 3, 4 and 5 shows the different measures a rectangle with a perimeter of 24 cm can be:
Rectangle 3: Length = 8 cm; Width = 4 cm
Rectangle 4: Length = 10 cm; Width = 2 cm
Rectangle 4: Length = 7 cm; Width = 5 cm
Learn more about perimeter of rectangle on:
https://brainly.com/question/24571594
#SPJ1
pls help i need you
this is a maths question and i really hope the first person to see this question solves it
The percentage profit on the cost of the skirt is 11.1%
Here, the cost of gloves is £4
And the profit on gloves is 100% which will be equal to 4
The selling price of gloves will be = 8
As given in the question,
The total selling price of both items is £48
So, the selling price of a skirt will be = 48-8
= 40
Now, let the Total Cost of both items be x
Then, x*120÷5= 48
On solving the equation we get the x= 40
So, the cost price of the skirt will be = 40 - 4 = 36
Profit percentage of the skirt =( Selling price - cost price÷ cost price)*100
= (40-36÷ 36)*100
=(4÷ 36)*100
= 11.1℅
Hence, the profit percentage on the skirt will be 11.1℅
To know more about profit and loss refer to the given link:
https://brainly.com/question/13934673?utm_source=android&utm_medium=share&utm_campaign=question
When Shaq first checked the temperature, it was 13 degrees. He
checked again later and it was 10 degrees. Express the change in
temperature as an integer.
> |×
Y
label optional
2
X² f(x)/x Xn
(X) X ≤
IV
skill code: 41103
TT
Initial temperature T₀ = 13°c
second Temperature T₁= 10°c
Change in Temperature T₂ = T₀ - T₁ = 13°c - 10°c = 3°c
TemperatureUsing any of a number of arbitrary scales, temperature is a measure of hotness or coldness that shows the direction in which heat energy is moving. When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.To learn more about Temperature calculation refer:
https://brainly.com/question/26141817
#SPJ13
Suppose 38% of students chose to study German their senior year, and that meant that there were 190 such students. How many students chose not to take German their senior year?
Answer: 310
Step-by-step explanation:
(190/38) x 100 = 500 total students
500-190 = 310 students
Math
Seventh grade L.9 Solve percent equations: word problems JS6
Recommendations
pins
Pam ordered a set of red and yellow pins. She received 1,000 pins, and 91% of them were
red. How many red pins did Pam receive?
Submit
Skill plans
You have prizes
Vide
After solving percent equation ,the number of red pins from the set of red and yellow pins that Pam ordered is 910 red pins out of 1000 pins.
What is percent equation?Eventually, we'll run into a problem that requires us to calculate a percentage of something. The percent equation is the formula we'll employ and it goes like this: part = percent x whole.
The symbol for percent (%) denotes a percentage of one hundred.
You'll need to convert between a percent and a decimal to express these numbers, so let's take a moment to go over that. When you see a percentage, it means 40 out of 100, or 40/100, and that is our fraction. When you divide 40 by 100, you get the decimal 0.40. Remember that 0.40 is the same as 40/100, which means 40%, when converting a decimal to a percent.
Pam ordered a set of red and yellow pins. She received 1,000 pins, and 91% of them were red, so the amount of red pins is
red pins = 91/100 × 1000
red pins = 910
Thus, the number of red pins from the set of red and yellow pins that Pam ordered is 910 red pins out of 1000 pins
Learn more about percent equation
https://brainly.com/question/4936372
#SPJ9
The value of 18C7 is the same as the value of 18Cn, where n = ?
Answer:
i think n = 7 idrk
Step-by-step explanation:
gl
Sanjay bought 4 packages of bottled water. A package contains 25 bottles of water that cost $1.20 each. Sanjay can use the
calculation below to find the total cost of the water.
4 x (25 x 1.2)
How can Sanjay simplify the calculation using only the associative property of multiplication?
Drag and drop the appropriate number or expression into each
According to the associative property of multiplication, the expression to find the cost will be (1.2 × 25) × 4 based on the property and the value is $120.
How to illustrate the information?It should be noted that the associative property of multiplication simply means that when multiplying three numbers, the answer will be the same regardless of how the numbers are grouped.
In this case, Sanjay bought 4 packages of bottled water and a package contains 25 bottles of water that cost $1.20 each.
From the information, the expression is illustrated as 4 x (25 x 1.2). It should be noted that this can also be written as (1.2 × 25) × 4 based on the property and the answer will be $120.
Learn more about multiplication on:
brainly.com/question/10873737
#SPJ1
The points (0,k) and (1,4) fall on a line with a slope of 9. What is the value of k?
Answer:
k = - 5
Step-by-step explanation:
calculate the slope between the 2 points using the slope formula and equate to 9
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, k ) and (x₂, y₂ ) = (1, 4 )
m = [tex]\frac{4-k}{1-0}[/tex] = [tex]\frac{4-k}{1}[/tex] = 4 - k
then equating to 9
4 - k = 9 ( subtract 4 from both sides )
- k = 5 ( multiply both sides by - 1 )
k = - 5
Jupiter is 6.3 x 108 (630 million kilometers) from Earth. Calculate how long it would take to reach Jupiter if you traveled at
If you just want to conduct a flyby and aren't planning to stay, it will take you approximately 600 days, and if you want to enter orbit, it will take you about 2,000 days.
WHAT IS LIGHT YEAR ?Astronomical distances are expressed in terms of a light-year, which is also spelt light year. Its length is approximately 9.46 trillion kilometers, or 5.88 trillion miles.
HOW LONG IT WOULD TAKE TO REACH JUPITER FROM EARTH ?NASA's Pioneer 10 was the first spacecraft to ever travel across the distance between the Earth and Jupiter. On March 3, 1972, it was launched, and on December 3, 1973, it arrived. There were 640 days of flight time altogether.
However, Pioneer 10 was passing by while en route to study the outer solar system. Before NASA lost communication with it, the spacecraft traveled another 11 years into deep space after approaching the planet at a distance of 130,000 kilometers, where it snapped the first-ever close-up images of Jupiter.
Pioneer 11 launched and touched down one year later. It traveled there in 606 days, flying by Jupiter at a considerably closer distance (21,000 kilometers), and also stopped by Saturn.
The Voyager spacecraft arrived next. Voyager 1 arrived on March 5, 1979, in only 546 days, and Voyager 2 took 688 days.
Consequently, it will take between 550 and 650 days to complete a flyby.
learn more about light years and space here :
brainly.com/question/1302132
#SPJ13
17.) Find the unit rate. You earn $77.65 for working 8 hours.
A) $9.71 per hour
B) $19.41 per 2 hours
C) $10.05 per hour
D) $12.94 per hour
Which relation is a function?
The relation that is a function from the given option is Graph A.
Relations and functionsIn mathematics, a relation is a group of ordered pairs that expresses the relationship between two sets.
Function contains both domain and codomain which are also known as dependent and independent variables
For the relation to be a function, two or more of the coordinates must not lie on the same line.
From the given graphs, the relation that is a function is Graph A since two points does not lie on the same vertical line.
Learn more on relation and function here: https://brainly.com/question/24779057
#SPJ1
a small barber shop has a single chair and an area for waiting, where only one person can be in the chair at a time, and no one leaves without getting their hair cut. so the system is roughly: entrance → wait → haircut → exit assume customers arrive at the rate of 7 per hour and stay an average of 0.6 hour. what is the average number of customers in the barber shop?
There are 6 customers in the barber shop on an average.
What is average in ?
In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.As per the Little's law, the average number of costumers or individuals in a system (L) can be calculated by multiplying the average arrival rate (λ) and the average time each customer spends in the system (W).
The algebraic expression, is as follows:
L = λW
Here,
L=inventory or average number of customers in the system.
λ=arrival rate = 10
W=flow time average customer spends in the system = 0.6
L = 0.6 * 10 = 6
Thus, there are 6 customers in the barber shop on an average.
Learn more about average
brainly.com/question/24057012
#SPJ9
Could someone please help me name the proofs?
PLEASE HELP ASAP!
I think the first blank is "Given", the third is "Angle addition postulate", And the 6th is "90 degrees". Check this?
∠FED and ∠DEW are complementary because it is a sum of 90 degrees.
By the law of addition of complementary angles,m∠FED + m∠DEW = 90°
m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.
By the substitution property of equality, m∠FEW = 90°.
The ∠FEW is a right angle by the definition of right angles.
How to Interpret Complementary Angles?Complementary Angles defined as angles that sum up to 90 degrees.
Now, we are given that;
∠FED and ∠DEW are complementary.
We want to prove that ∠FEW is a right angle. Thus;
∠FED and ∠DEW are complementary because it is a sum of 90 degrees.
By the law of addition of complementary angles, we can say that;
m∠FED + m∠DEW = 90°
Also,
m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.
By the substitution property of equality, m∠FEW = 90°.
The ∠FEW is a right angle by the definition of right angles.
Read more about Complementary Angles at; https://brainly.com/question/98924
#SPJ1
Find the length of the third side. If necessary, round to the nearest tenth-
5
3
Answer:
The third side is 4cm
Step-by-step explanation:
[tex] {3}^{2} + {a}^{2} = {5}^{2} [/tex]
a=25-9
a=16
a=4
Find the exact value of y
Answer:
3√2
Step-by-step explanation:
We have an isoceles right triangle, so the length of the hypotenuse is √2 the length of each leg.
[tex]y \sqrt{2} = 6[/tex]
[tex]y = \frac{6}{ \sqrt{2} } ( \frac{ \sqrt{2} }{ \sqrt{2} } ) = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} [/tex]
A retail company is studying the number of employees, based on job classification, such as employee, manager, and senior manager. Which of the following displays could be used to represent the data, and why?
O Bar chart; because job classification is categorical
O Box plot; because job classification is categorical
O Circle graph; because job classification is numerical
O Histogram, because job classification is numerical
The display to represent the data of the number of employees based on job classification is A. Bar chart; because job classification is categorical.
What is categorical data?Categorical data refers to the data types that can be grouped instead of calculated numerically.
Some examples of categorical data include sex, age group, educational level, job classification, and racial categories.
Bar charts and histograms are handy for representing categorical data because they use rectangular bars with heights or lengths to represent proportional values.
Thus, the correct display for the categorical data of job classification is Option A.
Learn more about categorical data at https://brainly.com/question/3882981
#SPJ1
Answer:
A
Step-by-step explanation:
Bar Chart
how do you turn 1 2/3 into a digit
Answer: 5/3
Step-by-step explanation:
[tex]\displaystyle\\1\frac{2}{3}=\\\\\frac{1*3+2}{3}=\\\\\frac{3+2}{3} =\\\\\frac{5}{3}[/tex]
A table shows temperature changes over a period of a week.
a. Why would a circle graph inaccurately display the data?
b. Which type of graph would best display the data?
a) A circle graph inaccurately displays the data because the data is not about parts of a whole.
b) Line graph would best display the data.
What are circle graphs?A circle is divided into sectors that each represent a component of a whole to create a circle graph, which is a visual representation of data.
What are line graphs?An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.
a) Since circle graphs are designed to depict data consisting of parts of a whole, a data set consisting of temperature variations over the course of a week would be wrongly displayed by one.
b) Since line graphs are the most appropriate for a data set that is tied to time, a line graph would be the most effective way to display the given data.
To know more about graphs visit:
https://brainly.com/question/13298277
#SPJ9
The graph of the function f(x) = -10x² + 700x - 600 shows the profit a company earns for
selling headphones at different prices. What is the maximum profit the company can expect to earn?
The maximum profit which this company can expect to earn is $11,650.
What is the maximum value of a function?The maximum value of a function can be defined as a point on the graph where the function reaches its highest point. This ultimately implies that, the maximum value of a function simply refers to its vertex on a graph.
In order to determine the maximum profit which this company can expect to earn, we would differentiate the given function as follows:
f(x) = y = -10x² + 700x - 600
y' = -20x + 700
-20x + 700 = 0
20x = 700
x = 700/20
x = 35.
Substituting the parameter into the formula, we have;
f(x) = -10x² + 700x - 600
f(35) = -10(35)² + 700(35) - 600
f(35) = -12250 + 24,500 - 600
f(35) = $11,650.
Read more on maximum profit here: https://brainly.com/question/15697949
#SPJ1
If someone could help me with these two problems please.
( will mark brainliest if correct )
Answer:
1st- x=140°
2nd-x=90°
Step-by-step explanation:
The interior angle of a 9 -sided polygon is 140x9=1260
divide by 9
The interior angles of a triangle always add up to 180
90°each
Name the property of equality that justifies going from the first statement to the second statement first statement: 5x = 20 second statement: x = 4 a. addition property of equality b. division property of equality c. reflexive property of equality d. substitution property of equality
b. Division property of equality justifies going from the first statement: 5x = 20 to the second statement: x = 4.
Division property is a type of property of equality that states that if both sides of an equation are divided by the same number except 0, then that equation will remain true.
This property can be proved for the given statements as follows;
5x = 20
According to the division property of equality, we divide both sides by the same number which in this case is 5. Therefore;
5x = 20
5x/5 = 20/5
x = 4
As x = 4 is the second statement, therefore property of equality that justifies going from the first to the second statement is the division property of equality.
To learn more about the division property of equality; click here:
https://brainly.com/question/24680051
#SPJ4
Tickets to a Broadway show cost $40 for adults and $10 for children. The total receipts for 1420 tickets at one performance were $41,800. How many adult and how many child tickets were sold?
The number of adult tickets sold is 920 , and the number of child tickets sold is 500 .
In the question ,
it is given that
ticket cost for adult = $40
ticket cost for children = $10
and the number of total tickets sold is 1420
let the number of adult tickets sold = x
and the number of children ticket sold = y
According to the question
total tickets sold = number of adult tickets sold+ number of children ticket sold
Substituting the values, we get
x+y = 1420
y = 1420 - x ...(i)
the total receipts for adult tickets= $40x
the total receipts for children tickets= $10y
given that total amount of tickets sold = $41800
According to the question
40x + 10y = 41800
Substituting the value of y from equation(i) , we get
40x + 10(1420-x) = 41800
40x + 14200 - 10x = 41800
30x + 14200 = 41800
30x = 27600
x = 920
and y = 1420 - 920
y = 500
Therefore , the number of adult tickets sold is 920, and the number of child tickets sold is 500 .
Learn more about Equations here
https://brainly.com/question/13424413
#SPJ1
Find the distance between points (6, 16) and (-1, 14)
[tex] = \sqrt{( {x2 - x1})^{2} + ( {y2 - y1})^{2} } \\ = \sqrt{ (- 1 - 6 )^{2} + ( {14 - 16)}^{2} } \\ = \sqrt{( { - 7)}^{2} + ( { - 2)}^{2} } \\ = \sqrt{49 + 4} \\ = \sqrt{53} [/tex]
ATTACHED IS THE SOLUTION
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
5(y + 1) = 5
y + 1 =
Divide both sides by 5
Subtract 1 from both sides
Answer:
Step-by-step explanation:
5(y + 1) = 5
Divide both sides by 5
=> 5(y + 1)/5 = 5/5
=> y + 1 = 1 [ 5 in numerator and 5 in denominator cancel]
Subtract 1 from both sides
y + 1 -1 = 1 - 1
y + 0 = 0
=> y = 0