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Doss [256]
2 years ago
5

(5p-9)(5p-9) find each square

Mathematics
1 answer:
Iteru [2.4K]2 years ago
6 0

Answer:

The square would be 25p^2 - 90p + 81

Step-by-step explanation:

To get this, use the FOIL method. In this, we multiply the first, outer, inner and last pairings.

First - Multiply the first number in each parenthesis.

5p * 5p = 25p^2

Outer - Multiply the outside numbers in each parenthesis.

5p * -9 = -45p

Inner - Multiply the inner numbers in each parenthesis.

-9 * 5p = -45p

Last = Multiply the last numbers in each parenthesis

-9 * -9 = 81

Now take all of those numbers and add together. Then simplify.

25p^2 - 45p - 45p + 81

25p^2 - 90p + 81

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At the deli counter Sandy bought 1 3/4 pounds of cheese for 4$ per pound and 2 1/4 pounds of turkey for 6$ per pound. How much d
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2 years ago
Find the value of the test statistic z using . The claim is that the proportion of adults who smoked a cigarette in the past wee
kolezko [41]

Correct question is;

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include n = 1168 subjects with 385 saying that they smoked a cigarette in the past week. Find the value of the test statistic

Answer:

Test statistic is z = -1.46

Step-by-step explanation:

Let's first of all define the hypotheses:

Null hypothesis:

H0: p = 0.35, i.e 35% in the sample of 1,168 adults have smoked cigarettes in the previous week.

Alternative hypothesis:

Ha: p < 0.35, i.e less than 35% in the sample of 1,168 adults have smoked cigarette in the previous week.

The sample size is, n = 1,168 while the number of adults who smoked in the previous week would be; x = 385

Therefore, the sample proportion of adults who smoked in the previous week would be calculated as;

p^ = x/n = 385/1168 ≈ 0.3296

Now, from Central Limit Theorem for large samples, The sampling distribution of the sample proportion p^, will have a mean of μ = p = 0.35

Formula for standard deviation is;

σ = √[p (1 – p)/n]

σ = √(0.35 × (1 – 0.35)/1168)

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σ = 0.014

Formula for test statistic is;

z = (p^ - p)/σ

z = (0.3296 - 0.35)/0.014

z = - 1.46

3 0
3 years ago
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