How do you write o.1111111111 as a fraction?

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:

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

Hₐ: Kellogg will market the cereal, i.e. p ≥ 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. p < 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 z for α = 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

Describe the relationship between the value of the digits in the number 9,999,999

algol [13]

9 999 999 in words is read as nine million, nine hundred and ninety-nine thousand, and nine hundred and ninety-nine

By partitioning, we can write 9 999 999 as follow
9 000 000 + 900 000 + 90 000 + 9000 + 900 + 90 + 9

If we start at the first digit of '9' on the left, the next digit is ten times smaller than the previous one.

4 0

3 years ago

dev knows he only has 8gallons of gasoline in the tank. he wants to go on a 300- mile trip. will he have to buy more gasoline? a

max2010maxim [7]

Yes you will need more gassoline

6 0

3 years ago

Read 2 more answers

If sin(y°) = cos(x°), which of the following statements is true?

Firdavs [7]

Answer:

y = w and ΔABC ~ ΔCDE

Step-by-step explanation:

Given sin(y°) = cos(x°)

So, ∠y + ∠x = 90° ⇒(1)

And as shown at the graph:

ΔABC is aright triangle at B

So, ∠y + ∠z = 90° ⇒(2)

From (1) and (2)

∴ ∠x = ∠z

ΔCDE is aright triangle at D

So, ∠x + ∠w = 90° ⇒(3)

From (1) and (3)

∴ ∠y = ∠w

So, for the triangles ΔABC and ΔCDE

∠A = ∠C ⇒ proved by ∠y = ∠w
∠B = ∠D ⇒ Given ∠B and ∠D are right angles.
∠C = ∠E ⇒ proved by ∠x = ∠z

So, from the previous ΔABC ~ ΔCDE by AAA postulate.

So, the answer is y = w and ΔABC ~ ΔCDE

4 0

3 years ago

Read 2 more answers

HELP PLEASE! if a||b what is the value of x?

Norma-Jean [14]

Answer: x=30 (Sorry for wasting your time if the answer is wrong)

Step-by-step explanation:

I did it the lazy way

80-20=60

60÷2=30

(If this is completely wrong then again, sorry)

8 0

4 years ago