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3 years ago

12

At Prairie Middle School, 120 of the 450 students ride their bikes to school each day. Which fraction represents the ratio of st

udents who ride their bikes to total students at Prairie Middle School?
a. 14

b. 29

c. 15

d. 415

1 answer:

stellarik [79]3 years ago

6 0

I think it might be d.)

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Kellogg is planning to market a new kind of cereal. However, before marketing this product, the company wants to find what perce

artcher [175]

Answer:

The predominant formula that will be used to solve the problem is,

$CI=\hat p\pm z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}$ .

Step-by-step explanation:

Kellogg is planning to market a new kind of cereal and wants to determine the percentage of people will like it.

Kellogg will market the cereal if at least half of the people in the population will like it.

So, the company’s research department selected a random sample of 500 persons and asked them to taste it. Of these 500 persons, 280 said they liked it.

The hypothesis to test whether Kellogg will market the cereal is:

<em>H₀</em>: Kellogg will not market the cereal, i.e. <em>p</em> < 0.50.

<em>Hₐ</em>: Kellogg will market the cereal, i.e. <em>p</em> ≥ 0.50.

The decision rule:

A 95% confidence interval for single proportion can be used to draw conclusion about this test.

If the 95% confidence interval consists of the null value, i.e. <em>p</em> < 0.50, then the null hypothesis will not be rejected. But is the confidence interval does not consist of the null value then the null hypothesis will be rejected.

The formula to compute the 95% confidence interval for the proportion of all people who like this cereal is:

$CI=\hat p\pm z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Here,

$\hat p=\frac{X}{n}$ = sample proportion

$z_{\alpha/2}$ = critical value of <em>z</em> for <em>α</em> = 0.05

Thus, the predominant formula that will be used to solve the problem is,

$CI=\hat p\pm z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}$ .

4 0

3 years ago

What number comes next in the series? 31, 1031, 402, 16, ____

spin [16.1K]

Answer:

Another person already answered this question. Their name is writersparadise. I give all credit to him/her for this answer.

Step-by-step explanation:

There could be many answers for this question. In general, the number that comes after 16 is a number with 8 as the sum of its digits.

Explanation:

1st number 31 – Sum of digits is 3 + 1 = 4

2nd number 1031 – Sum of digits is 1 + 0 + 3 + 1 = 5

3rd number 402 – Sum of digits is 4 + 0 + 2 = 6

4th number 16 – Sum of digits is 1 + 6 = 7

Therefore, the missing number could be the single digit number 8 or any of the two-digit numbers 17, 26, 35, 44, 53, 62, 71 or 80. It could also be a bigger number with the digits of any of the given two-digit numbers and 0 for the other digits such as 260 or 7001.

Read more on Brainly.in - https://brainly.in/question/3032926#readmore

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3 years ago

A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated

malfutka [58]

Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)

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3 years ago

24/36 - 1/4 <br> answer in simplest form

Zepler [3.9K]

Answer:

2/3

Step-by-step explanation:

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3 years ago

What is meter to millimeters equal

oksano4ka [1.4K]

1 meter = 1000 millimeters

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3 years ago