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3 years ago

5 ^6 − 5 ^11 = 5 x ( 1 − 5 y ) what is the value of x and y

1 answer:

6 0

Is it 5^6 - 5^11 = 5x × (1-5y)?
5^6 - 5^11 = 5^(6-11) = 5^(-5) = 1/(5^5)
So 1/3125 = 5x - 5(5y)
1/3125 = 5(x-5y)
1/3125/5 = x-5y
0.000064 = x - 5y

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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:

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

What is the simplest form of this expression? 2a^2b^2/4a

Alisiya [41]

$\cfrac{2a^2b^2}{4a} = \cfrac{ab^2}{2}$

7 0

3 years ago

What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm? Ente

DaniilM [7]

Answer:

0.8

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

185g in the ratio 2:3

beks73 [17]

ratio 2:3

2 + 3 = 5

185 / 5 = 37

37 x 2 = 74

37 x 3 = 111

Answer

185 g in the ratio 2:3 = 74: 111

8 0

3 years ago

Please help!! This is so confusing! 100 points!!

masya89 [10]

Answer:

The value of the expression given is:

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

[(3^8)*(2^(-5))*(9^0)]^(-2)
[(2^(-2))/(3^3)]^4
3^28

Now, we can solve each part one by one:

First part.

3^8 = 6561
2^(-5) = 0.03125
9^0 = 1 (Whatever number elevated to 0, its value is 1)
(6561 * 0,03125 * 1) = 205.03125

And we elevate this to -2:

205.03125^-2 = 2.378810688*10^(-5) or 0.00002378810688

Second part.

2^(-2) = 0.25
3^3 = 27
0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925

And we elevate this to 4:

0.00925925925925^4 = 7.350298528 * 10^(-9) or 0.000000007350298528

Third Part.

3^28 = 2.287679245 * 10^13 or 22876792450000

At last, we multiply all the results obtained:

0.00002378810688 * 0.000000007350298528 * 22876792450000 = 3.999999999999999999 approximately 4

We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result.

3 0

3 years ago

Read 2 more answers