Write a system of inequalities using the given graph
For dark line
(0,1)(-1,-4)Slope
m=-4-1/-1=5Equation in point slope form
y-1=5xy=5x+1Put (0,0)
0<1As line is dark sign is ≤
The inequality
y≤5x+1For dashed line
(2,0)(0,-2)Equation in intercept form
x/2-y/2=1x-y=2y=x-2Put (0,0)
0>-2Symbol is >
Inequality is
y>x-2Freida deposited money into a savings account. After a year the account had $4,200. If the interest rate is 5%, how much money did Frieda originally deposit?
Answer:
There is a total of 200 dollars profit
From previous experience, the owner of a Apple orchard knows that the mean weight of a gala Apple is 140 grams. This year there has been more precipitation than usual and the owner believes the weights of the apples will be heavier than usual. The owner takes a random sample of 30 apples and records their weights. What is the appropriate inference procedure?
The appropriate inference procedure is the t test for μdiff.
What is the t test?The t test is used to compare the means of two groups. It is a very important tool that can be used in inferential statistics.
Since it shows whether the means of two groups are significantly different, we can say that, the appropriate inference procedure is the t test for μdiff.
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please help me with this math question
Answer:
Min max median and q3 is correct, q2 should be 8.5
If a perfume store currently sells perfume for $30 a bottle and averages 2000 bottles sold per month, what sales might they anticipate if they raise the price to $40 a bottle
The sales they might anticipate if they raise the price to $40 a bottle is $1,500.
Anticipated salesUsing this formula
Anticipated sales=(Current selling price÷Increase in price)×Number of bottle sold
Let plug in the formula
Anticipated sales=($30÷$40)×2,000
Anticipated sales=$0.75×2,000
Anticipated sales=$1,500
Therefore the sales they might anticipate if they raise the price to $40 a bottle is $1,500.
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A segment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint? –10 –2i 3 – i 9 – 2.5i 18 – 4i
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]
HELP IM STUCK ON THIS QUESTION
Answer:
FOR THE AREA:
Count how many full squares are in the middle, then count how many halves there are on the outer edge. the divide the amount of halves by 2 then add to the amount of full squares.
Question 7 of 10
Find any domain restrictions on the given rational equation:
X-4+50
4x-12x²+x-12 2
Select all that apply.
A. x = 0
B. x = 3
C. x = 4
D. x = -4
The domain restrictions on the rational function [tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex] are (b) x = 3 or and (d) x = -4
How to determine the domain restrictions?The function as expressed in the correct format is:
[tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex]
Factorize the denominators of the fractions
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x^2 + 4x- 3x - 12} = \frac{x}{2}[/tex]
Factor out x and -3
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x(x + 4)- 3(x + 4)} = \frac{x}{2}[/tex]
Factor out x + 4
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{(x- 3)(x + 4)} = \frac{x}{2}[/tex]
Set the denominators to 0
4(x - 3) = 0
(x - 3)(x + 4) = 0
Solve for x:
4(x - 3) = 0 ⇒ x = 3
(x - 3)(x + 4) = 0 ⇒ x = 3 or x = -4
This means that the domain restrictions on the rational function are (b) x = 3 or and (d) x = -4
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Evaluate f(8): f(x) = x²-4
Answer:
60
Step-by-step explanation:
[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]
What is the base of this figure?
Step-by-step explanation:
do you mean "base area" ?
and this is relative, friend how the object is placed on the ground.
the way it is depicted, the base is a triangle.
and the area of a triangle is
baseline × height / 2
in our case
11 × 4.3 / 2 = 23.65 cm²
A certain radionuclide is used to diagnose lymphoma. an atom of this radionuclide contains 31 protons and 36 neutrons. which statement is correct about the radionuclide? the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 31, the mass number is 67, and its symbol is superscript 31 subscript 67 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 31 subscript 67 baseline upper g a.
The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.
To answert the question, we need to know what an atom is.
What is an atom?An atom is the smallest indivisible part of a substance. It is represented by letters.
It has an atomic number which is the number of protons or electrons present in an atom and is written as a subscript in from of the letter symbol.It has a mass number which is the number of protons plus neutrons in an atom and is written as a subscript in from of the letter symbol.So, since the atom of this radionuclide contains 31 protons and 36 neutrons.
So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.
So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.
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In a class of 34 students
12 study German
• 25 study Spanish
6 do not study either language.
One student in the class is selected at random.
Find the probability that this student studies both languages.
Answer:
Step-by-step explanation:
Areas of Southeast Asia were very desirable, especially because of their rich soil and these lands
A. Putrid
B. Grotesque
C. Arable
Answer:If im correct the answer is C
Step-by-step explanation:
Question 1 Part B (3 points): Using the GCF that you chose in part A, factor that GCF out of the polynomial:
18x3 + 6x2y - 9x2 - 3xy
A.
6x(3x² + xy -9x - y)
B.
x²(18x + 3y - 9)
C.
3x(6x² + 2xy - 3x - y)
D.
x(18x² + 6xy - 9x - 3y)
The factor of the polynomial 18x³ + 6x²y - 9x² - 3xy will be 3x(6x² - 2xy - 3x - y). Then the correct option is C.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ 18x³ + 6x²y - 9x² - 3xy
Then the factor of the polynomial will be
⇒ 18x³ + 6x²y - 9x² - 3xy
⇒ 3x(6x² - 2xy - 3x - y)
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In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students
at random who have already taken the exam. The students are enrolled in a six-week prep course to improve their
scores. After the prep course, the students take the college-entrance exam again. The mean difference (first-
second) in exam scores is -1.75 points with a standard deviation of 7.12 points. Assuming the conditions for
inference are met, what is the test statistic for testing the hypotheses Hoi Hoi = 0; He Moip <0?
O 1-1.75 -0
7.12
35
o
0+ 1.75
7.12
35
-1.75 -0
7.12
35
=
1.75 -0
7.12
35
Nex
Submit
Mark this and return
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
What are the hypotheses tested?At the null hypotheses, it i tested if the mean difference remains the same, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypotheses, it is tested if it has decreased, hence:
[tex]H_a: \mu < 0[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters are given as follows:
[tex]\overline{x} = -1.75, s = 7.12, n = 35[/tex].
Hence the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
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Find the value of x. Round your answer to the nearest tenth
Answer:
15.9
Step-by-step explanation:
how to draw a model of 2 divided by 1/4
Answer: Answer below
Step-by-step explanation:
just draw 2 rectangles and draw 3 lines in each one to make 4 equal sections
What is the measure of ZRMN?
1179
M
R
N
[Not drawn to scale)
2270
639
1170
1639
in the expression 3x+7 what is the coefficient
Answer:
3
Step-by-step explanation:
Coefficient in the number behind the variable.
In 3x + 7,
x is the variable.
3 is the coefficient.
This is a substitution problem
Mike has 12 computers in his classroom, some are PCs and some are Macs. There are two
Macs for every PC in his classroom. How many Pcs and Macs are there in Mike's classroom
Answer:4 PCs and 8 Macs
Step-by-step explanation:
They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room
System of equationThey consists of equations and unknown variables
Let the number of PCs be x
Let the number of Mac be y
If Mke has 12 computers, then;
x + y = 12
If there are two Macs for every PC in his classroom, then;
y = 2x
Substitute
x + 2x = 12
3x = 12
x = 4
Recall y = 2x
y = 2(4)
y = 8
There are 4 PCs and 8 Mac in the room
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(giving brainliest and 40 points) a package of trail mix weighs \frac {7}{8} pound. raisins make up \frac {1}{10} of the trail mix. how much of the trail mix, in pounds, is raisins? move numbers to the boxes to show the answer. if there is no whole number, enter () in the first box. \frac {\square }{\square } 0 1 7 8 10 18 39 40 70 80
Answer:
7/80 lb
Step-by-step explanation:
We are given that 1/10 of the 7/8 pound package is raisins.
__
The weight of raisins is ...
(1/10)(7/8 lb) = 7/80 lb
Find the surface area of the prism.
Answer:
total surface area = 324 m²
lateral surface are = 132 m²
top surface area = 96 m²
bottom surface area = 96 m²
Please help thanks!!!!!!
Answer:
See below ~
Step-by-step explanation:
Subpart (e) :
⇒ New volume = 2 x 3 x 2 x 4 x 2 x 5
⇒ New volume = 8 x 60
⇒ New volume = 480 in³
=============================================================
Subpart (f) :
⇒ New volume : Original volume
⇒ 480 : 60
⇒ 1 : 8
=============================================================
Subpart (g) :
Step 1
⇒ SA = 2(6 × 9 + 9 × 11 + 6 × 11)
⇒ SA = 2(54 + 99 + 66)
⇒ SA = 2(219)
⇒ SA = 438 in²
Step 2
⇒ V = 6 × 9 × 11
⇒ V = 54 × 11
⇒ V = 594 in³
Step 3
⇒ New SA = 2 x 438
⇒ New SA = 876 in²
Step 4
⇒ New : Original
⇒ 876 : 438
⇒ 2 : 1
Step 5
⇒ New V = 2³ x 594
⇒ New V = 8 × 594
⇒ New V = 4752 in³
Step 6
⇒ New : Original
⇒ 4752 : 594
⇒ 8 : 1
If the tax on a $25 shirt is 10%, what would the final cost be?
Answer: $27.5
Step-by-step explanation:
10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.
The graph below represents data that was collected by students on the
number of social media posts they made the previous day.
SOCIAL MEDIA POSTS
umber of Students)
2
g
Question: what was the mean number of posts made?
The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.
The graph below represents data that was collected by students on the number of social media posts they made the previous day.
Then the mean will be
The sum of the observation will be
Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3
Observation sum = 20
Then the mean will be
Mean = 20/8
Mean = 2.5
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please answer lol i need some help
!PLEASE HELP ASAP!
What do we call the statistic when we are measuring whether individuals have a certain characteristic that is either present or not?
Answer:
A parameter is a numerical description of a population characteristic
Step-by-step explanation:
A parameter is a numerical description of a population characteristic
find the surface area of the cube
Answer:
150
Step-by-step explanation:
Knowing that a cube has 6 faces which all are equal.
Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.
Since, it given that one face is 5 cm
Then, we also must know the formula for area of a cube
Which is:
[tex]Area=6a^2[/tex]
Thus,
[tex]Area=6a^2[/tex]
[tex]Area=6(5)^2[/tex]
[tex]Area=6(25)[/tex]
[tex]Area=150[/tex]
Kavinsky
please help mehhhh quick
Answer:
A
Step-by-step explanation:
If you read the sentences aloud, A is the only answer that makes grammatical sense, since colons are short pauses in sentences, much like commas. Colons are also commonly used for the beginning of a list, as shown here.
Hope this helped!
The cost of a taxi fare is $5 plus $1.50 per kilometre travelled. a) Derive a formula for calculating the cost, $P, of travelling n km. b) Use your formula to calculate the cost of travelling 25 km. please help me
Answer:
Step-by-step explanation:
Formula
P = 5 + 1.50n
P is the total Cost
n is the number of Km travelled.
Solution
Substitute n = 25 into the formula
P = 5 + 1.5 * 25
P = 5 + 37.5
P = 42.50
Answer
42.50 dollars for 25 km.