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lianna [129]
4 years ago
10

Please help with question 15 and 16!!!

Mathematics
1 answer:
kykrilka [37]4 years ago
6 0
15. [4] insufficient information. only given SA
16. There are 3 right triangles, 3 Pythagorean theorem equations 
x²+b²= 16²
12²+a² = x²
a²+4² = b²

combine equations using substitution to get in terms of only x
substitute b² for (a² +x²) in first equation
x²+a²+4²=16²
substitute a² for (x² - 12²)
x²+x²-12²+4² = 16²
solve for x
2x² - 144 + 16 = 256
2x² = 256 + 144 - 16
2x² = 384
x² = 384/2
x² = 192
x = 13.85

rounded to nearest tenth, x = 13.9




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In a​ poll, 312 of 1040 randomly selected adults aged 18 or older stated that they believe there is too little spending on natio
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Answer:   A point estimate for the proportion of adults aged 18 or older who feel there is too little spending on national defense is 0.3.

Step-by-step explanation:

Given : In a poll , the sample size of adults aged 18 or older : <em>n</em>=1040

Out of them , the number of persons stated that they believe there is too little spending on national defense: <em>x</em>= 18

Let <em>p</em> be the proportion of adults aged 18 or older who feel there is too little spending on national defense.

Now , as per sample , the sample proportion of adults aged 18 or older who feel there is too little spending on national defense would be :

\hat{p}=\dfrac{x}{n}=\dfrac{312}{1040}=0.3

Since , <em>the sample proportion is the best estimate of the population proportion.</em>

Therefore, a point estimate for the proportion of adults aged 18 or older who feel there is too little spending on national defense is 0.3.

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The grams of sugar per serving for three brands of cereal are 4 g, 10 g, and 14 g. The probability of choosing a cereal with 4 g
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Answer:

Expected\ Value = 9

Step-by-step explanation:

Given

Cereal A

Probability = \frac{1}{4}

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Cereal B

Probability = \frac{5}{8}

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Probability = \frac{1}{8}

Grams = 14

Required

Determine the expected value of grams of sugar

This is calculated by multiplying the probability and grams of sugar in each cereal.

The results of the products are then added together

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Expected\ Value = \frac{1}{4} * 4 + \frac{5}{8} * 10 + \frac{1}{8} * 14

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Expected\ Value = 9

Hence;

The expected value of grams of sugar is 9 grams

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3 years ago
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