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lions [1.4K]
3 years ago
13

Square with side 4 is dilated by 7

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0

Answer:

196 in/cm/m²

Step-by-step explanation:

Given that the scale factor is a : b , then the area factor is a² : b² Here the scale factor is 1 : 7 , thus area scale factor is 1² : 7² = 1 : 49 That is the area of the dilated square is 49 times the original square. area of dilated square = 4 × 49 = 196 in/cm/m²

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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
Siobhan needs a $7,000 personal loan. Which loan option would require her to pay back the least amount of money?
Ivahew [28]

Answer:

18 month loan with a 13% annual simple interest rate

Step-by-step explanation:

4 0
2 years ago
Can someone help me with these 2 answers
lions [1.4K]

Answer:

2. Side length =9

Step-by-step explanation:

A square has all sides equal. and it has 4 sides, so 36 divided by 4 =9.

3.x squared =6

answer is x=3

square root both sides.

8 0
3 years ago
Read 2 more answers
(2x+3y)+(8x+10y) simplify the following
zzz [600]

Answer:

10x+13y

Step-by-step explanation:

remove parentheses:

2x+3y+8x+10y

add like-terms:

2x+8x+3y+10y

add numbers with the same variables/elements

10x+3y+10y-->10x+13y

hope this helps

4 0
3 years ago
Read 2 more answers
Increase 12 1/2 cm by 25 mm
kondor19780726 [428]
12 1/2 = 12.5 2.5mm = 2.5 cm So the answer would be 15 cm
3 0
3 years ago
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