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3 years ago

A new car that costs $17,500 loses 25 percent of its value in the first year. How much is the loss of the value.

1 answer:

4 0

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 17500}}{\left( \cfrac{25}{100} \right)17500}\implies 4375$

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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,

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

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3 years ago

PHONE CARDS You purchase a 300 minute phone card. The function

Anarel [89]

Answer:

9750

Step-by-step explanation:

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3 years ago

You’re rectangular 12 feet long and 8 feet wide. Your friend’s rectangular vegetable garden 50 feet long and 10 feet wide are th

igor_vitrenko [27]

Answer:

Step-by-step explanation:

For shapes to be similar, their ratios of length-to-length and width-to-width must be the same. When you divide the larger length by the smaller length and the larger width by the smaller width, do you get the same number? No, so these rectangles are not similar.

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3 years ago

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HELP PLS ITS BEEEN AN HOUR im going to cry ):

miss Akunina [59]

Answer: Don't cry please you'll be okay.

Step-by-step explanation:

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3 years ago

-a^2+46a-480=0 a - ?

sattari [20]

a = 30
a = 16

-a² + 46a -480 = 0

(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0

(-a + 30) = 0 ; (a - 16) = 0
-a = -30 ; a = 16
a = 30

To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0

a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0

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3 years ago

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