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choli [55]
2 years ago
11

SOME ONE HELP PLEASE ILL MARK BRAINIEiST. AND I NEED TO KNOW THE PRICE OF ORANGES. WORTH A 100 POINTS> AND PLEASE DONT WASTE

MY POINTS PLEASE
Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of

grapefruit and 2 lb of oranges for $8.80. Let x represent the price per pound for

grapefruit, and let y represent the price per pound for oranges. Write a system of

equations to model the situation. What is the price per pound for oranges?
Mathematics
1 answer:
zepelin [54]2 years ago
6 0

Answer:

1.40 $ per pound.

Step-by-step explanation:

it is $1.40

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This claim is to be investigated at .01 levels. “Forty percent or more of those persons who retired from an industrial job befor
Degger [83]

According to the described situation, we have that:

  • The null hypothesis is H_0: p < 0.4

The decision rule is:

  • z < 2.327: Do not reject the null hypothesis.
  • z > 2.327: Reject the null hypothesis.

The value of the test statistic is of z = -0.866.

<h3>What is the null hypothesis?</h3>

The claim is:

"Forty percent or more of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available"

At the null hypothesis, we consider that the claim is false, that is, the proportion is of less than 40%, hence:

H_0: p < 0.4

<h3>What is the decision rule?</h3>

We have a right-tailed test, as we are testing if a proportion is less/greater than a value. Since we are working with a proportion, the z-distribution is used.

Using a z-distribution calculator, the critical value for a right-tailed test with a significance level of 0.01 is of z = 2.327, hence, the decision rule is:

  • z < 2.327: Do not reject the null hypothesis.
  • z > 2.327: Reject the null hypothesis.

<h3>What is the test statistic?</h3>

The test statistic is given by:

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

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are:

p = 0.4, n = 200, \overline{p} = \frac{74}{200} = 0.37

Hence:

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

z = \frac{0.37 - 0.4}{\sqrt{\frac{0.4(0.6)}{200}}}

z = -0.866

The value of the test statistic is of z = -0.866.

You can learn more about hypothesis tests at brainly.com/question/16313918

7 0
2 years ago
How to find the area
Nookie1986 [14]

Answer:

71

Step-by-step explanation:

1. 10x5=50

(3x3.5)x2=21


4 0
3 years ago
At the ice cream shoppe ,one banana split and five milkshakes cost $16.24.If three banana splits and two milkshakes cost $15.05,
34kurt

Answer: the cost of a milkshake is $2.59

Step-by-step explanation:

Let x represent the cost of a banana split.

Let y represent the cost of a milkshake.

At the ice cream shop, one banana split and five milkshakes cost $16.24. This is expressed as

x + 5y = 16.24- - - - - - - - - - - - -1

If three banana splits and two milkshakes cost $15.05. This is expressed as

3x + 2y = 15.05- - - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 1, it becomes

3x + 15y = 48.72

3x + 2y = 15.05

Subtracting, it becomes

13y = 33.67

y = 33.67/13

y = 2.59

Substituting y = 2.59 into equation 1, it becomes

x + 5 × 2.59 = 16.24

x + 12.95 = 16.24

x = 16.24 - 12.95

x = 3.29

6 0
3 years ago
The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumferenc
avanturin [10]

9514 1404 393

Answer:

  2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

  C = 2πr

For a radius of (r cm), the circumference is ...

  A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

  B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

  B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

3 0
2 years ago
You travel a city 200 km away in 2.5 hours.what is your average speed
Paladinen [302]
200/2.5=80 hope this helps :)
8 0
3 years ago
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