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Anon25 [30]
2 years ago
11

An 18-foot flagpole casts a shadow 12 feet long forming a triangle as shown in the diagram. You are 5.75 feet tall and cast a sh

adow as shown. How long is the shadow you cast given the triangles shown are similar?
A. 3.83

B. 8.63

C. 11

Mathematics
1 answer:
wariber [46]2 years ago
7 0

Answer:

Option (A)

Step-by-step explanation:

From the picture attached,

ΔABC and ΔDEF are the similar triangles.

Therefore, by the property of similar triangles, their corresponding sides will be proportional.

\frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}

\frac{5.75}{18}=\frac{BC}{12}

BC = \frac{12\times 5.75}{18}

BC = 3.83 ft

Option (A) will be the correct option.

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Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so
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Answer: B. Do not reject H0, we cannot conclude the proportion of customer complaints is more for the old dough

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the old and the new dough players. The population proportions of customer complaints with the old and new dough would be p1 and p2

P1 - P2 = difference in the proportion of customer complaints with the old and new dough.

The null hypothesis is

H0 : p1 ≥ p2

pm - pw ≥ 0

The alternative hypothesis is

Ha : p1 < p2

p1 - p2 < 0

it is a left tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For old dough

x1 = 6

n1 = 385

P1 = 6/385 = 0.016

For new dough,

x2 = 16

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P2 = 16/340 = 0.047

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (6 + 16)/(385 + 340) = 0.03

1 - pc = 1 - 0.03 = 0.97

z = (Pm - Pw)/√pc(1 - pc)(1/nm + 1/nw)

z = (0.016 - 0.047)/√(0.03)(0.97)(1/385 + 1/340) = - 0.031/√0.00553857907

z = - 0.42

Since it is a left tailed test, we would find the p value for the area to the left of the z score. From the normal distribution table,

p value = 0.337

For a 95% confidence level, the significant level, alpha is

1 - 0.95 = 0.05

Since 0.05 < 0.337, we would accept the null hypothesis

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3 years ago
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Answer:

II + III = 176

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Step-by-step explanation:

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Second round: 3x=132

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2rounds: 132+44=176

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step 2: Divide both sides by 20420505.

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