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pshichka [43]
2 years ago
14

Students have a choice between taking a test on paper or on the computer. Mrs. Gazi graphed the relationship between the number

of students taking the test on the computer and the number of test pages she would need to print.
(graph below)

What feature of the graph represents how many pages Mrs. Gazi would need to print if none of the students take the test on the computer?

a) slope
b) x-intercept
c) y-intercept
d) none of the above

Mathematics
2 answers:
Nimfa-mama [501]2 years ago
6 0

Answer:

Slope

Step-by-step explanation:

alisha [4.7K]2 years ago
4 0

Answer:

Y-intercept. It shows how many students are using a computer.

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Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each b
matrenka [14]

Answer:

Correct answer is:

5y+6r=660\\y=2r+8

Step-by-step explanation:

Given that Number of bracelets with yellow beads is represented by y

Each bracelet with yellow beads is sold for $5.

Total money raised by bracelets with yellow beads = Number of bracelets sold \times Money raised by sale of one such bracelet = 5y

Also Given that Number of bracelets with Orange beads is represented by r

Each bracelet with orange beads is sold for $6.

Total money raised by bracelets with orange beads = Number of bracelets sold \times Money raised by sale of one such bracelet = 6r

Given that total money raised by sale of both type of bracelets is $660.

so, the first equation becomes:

5y+6r=660 ....... (1)

It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"

\Rightarrow r =2r+8 ...... (2)

So, by equation (1) and (2), the system of equations is:

5y+6r=660\\y=2r+8

5 0
2 years ago
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
Aloiza [94]

Answer:

36

Step-by-step explanation:

if it is two hours then half of it is 9

so 18 + 9 = 27 which is how many miles she biked

6 is the number of miles she ran

so u times it by 1.5

27 + 9 = 36

4 0
2 years ago
Read 2 more answers
In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil H. Firtle discuss a research proposa
MakcuM [25]

Answer:

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500  

p_v =2*P(Z>0.500)=0.617  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.  

Step-by-step explanation:

Data given and notation  

X_{1}=25 represent the number of homeowners who would buy the security system

X_{2}=9 represent the number of renters who would buy the security system

n_{1}=140 sample 1

n_{2}=60 sample 2

p_{1}=\frac{25}{140}=0.179 represent the proportion of homeowners who would buy the security system

p_{2}=\frac{9}{60}= 0.15 represent the proportion of renters who would buy the security system

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the two proportions differs , the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{25+9}{140+60}=0.17  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.    

Since is a two sided test the p value would be:  

p_v =2*P(Z>0.500)=0.617  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.  

6 0
2 years ago
Juan put three square tiles with sides 8 centimeters, 10 centimeters, and x centimeters together so that they form a right trian
Elan Coil [88]
Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to x^{2}.
A = x^{2} ---> equation (1)
By using pythagoras rule which states that the x^{2} = hyp^2 - opposite^2---> equation (2)
where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,
x^{2} = 10^{2} - 8^{2} substitute this value in equation (1) then
A = x^{2} = 10^{2} -8^{2}
where A is the area of the square whose side is x
6 0
2 years ago
Read 2 more answers
500 people are surveyed and asked to check the boxes that apply to them.
motikmotik

Answer:

1. A Venn diagram is attached. The amount of people that have health insurance and is confident about the economy is 287.

2. The amount of people that have health insurance and is not confident about the economy is 116.

3. The amount of people that have health insurance or  is confident about the economy is 437.

Step-by-step explanation:

1) Using sets theory, we know:

U: 500 people surveyed

A: people who is confident in the economy

B: people that have health insurance

A' and B': people who is not confident in the economy and don't have health insurance.

A=321

B=403

A' and B' =63

In the attached picture we can see a Venn diagram that represents the situation. In order to obtain the intersection of both sets A∩B, we calculate:

(321 - x) + (403 - x) + x + 63 = 500

321 - x + 403 - x + x + 63 +x -500 = 500 +x - 500

321 + 403 + 63 -500 = x

x= 287

2) The amount of people that have health insurance and is not confident about the economy is given by the intersection of the complement of set A and set B:

A' ∩ B can be calculated as:

B - (A ∩ B)= 403 - 287= 116

3) The amount of people that have health insurance or  is confident about the economy is given by:

(A∪B) = (A) + (B) - (A ∩ B)

(A∪B) = 321 + 403 - 287= 437

7 0
2 years ago
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