MATHEMATICS MIDDLE SCHOOL

It is believed that the percentage of people who support candidate A is 56%. A sample of size 100 indicated that 40 people support candidate A. Is there evidence at an alpha level of 10% to conclude that the percentage of people who support candidate A has changed?

Answers

Answer 1
Answer:

Given data:

Sample size =100

Sample proportion of people support candidate A:

p=(40)/(100)=0.40

Population proportion of people support Candidate A :

P=(56)/(100)=0.56

Check the condition: nP>10 and n(1-P)>10.

nP=100*0.40=40>10

n(1-P)=100*0.60=60>10

Null Hyposthesis: H_0: P=0.56

Alternative Hypothesis: H_\alpha :P\neq 0.40

The test statistics:

z=\frac{p-P}{\sqrt{(P(1-P))/(n)}}

Plug in p=0.56, P=0.40 and n=100 in the above formula,

z=\frac{0.56-0.40}{\sqrt{(0.40(1-0.40))/(100)}}

z=\frac{0.56-0.40}{\sqrt{(0.40(1-0.40))/(100)}}=3.2659

The table value of z at 10% of significance level is 1.28

Table value is less than the calculated value.

Hence H_0 is rejected at 10% level.

Therefore there is the evidence at an alpha level of 10% to conclude that the percentage of people who support candidate A has changed.

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Jimmy pays $2.93 for each gallon of gas. Which table best represents the relationship between g, the number of gallons purchased, and m, the amount he pays for gas? A.g m
2 $5.86
5 $14.65
8 $23.44


B.g m
$2.93 1
$5.86 2
$8.86 3


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D.g m
1 $2.93
2 $5.86
3 $8.86

Answers

1 gallon = 2.93
2 gallons = 5.86
3 gallons = 8.86

Therefore the correct table is D.

What is the y-intercept in the following equation: y=-4x-5

Answers

Answer:

the y-intercept would be (0,-5).

Step-by-step explanation:

the standard equation for slope is y=mx+b. b always represents the y-intercept

how can you tell whether the percent of a number will be greater than, less than, or equal to the number

Answers

If the value of a percentage of a number is less than 100%, then the percentage will be smaller than the original number. If the value of the percentage is 100%, then the percentage will be equal to the original number. If the value of the percentage is greater than 100%, the percentage will be greater than the original number.
Hope that helped! =)

Answer:

. If the percent is

less than

100%, then the percent of a number is less than the number.

B. If the percent is

equal to

100%, then the percent of a number is greater than the number.

C. If the percent is

greater than

100%, then the percent of a number is equal to the number.

Step-by-step explanation:

How do I solve %15 of 240

Answers

Answer:

36

Step-by-step explanation:

Turn %15 into a decimal, which is .15, and then 240 x .15

Answer:

thE ANSWER IS 36

Step-by-step explanation: :) hope this helps

Write 36.14 in expanded form

Answers

The correct answer is:


30 + 6 + 0.1 + 0.04.


Explanation:


We write numbers in expanded form using place value.


3 is in the tens place; this makes its value 30.

6 is in the ones place; this makes its value 6.

1 is in the tenths place; this makes its value 0.1.

4 is in the hundredths place; this makes its value 0.04.


Together we find the sum:

30 + 6 + 0.1 + 0.04.
we can write 36.14 in an expanded form as:
36.14 = (3 x 10) + (6 x 1) + (1/10) + (4/100)
and the expanded form with decimals is:
36.14 = 30+6+0.1+0.04

Painting is 2 in by 1.5 in. Scale is 1 in:40 cm. What are the dimensions of the original painting?

Answers

Answer:

80 cm by 60 cm

Step-by-step explanation:

To solve this we know that the scale is 1 In: 40 Cm since our painting is already in inches all we have to do is multiply the inches by 40, so 2 inches * 40 is 80 and 1.5 * 40 is 60 and now all we do is turn the units into centimeters and we are done!
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