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3 years ago

Find the value of x. Round to the nearest tenth

Mathematics

1 answer:

IRISSAK [1]3 years ago

6 0

Answer:

54.8 (rounded to the nearest tenth from 54.76558202)

Step-by-step explanation:

Using the Cosine equation (CAH) you type in a calculator "cos(x) = 4.5/7.8".

This will get you the answer if typed in a calculator and hitting "SOLVE".

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What is the product?<br> 3x [-6 -11<br> 1-14 -9]

Alla [95]

Answer:

9.99

Step-by-step explanation:

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3 years ago

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enoug

zepelin [54]

Answer:

W > 0.5L

Perimeter:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

÷3 ÷3

L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

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3 years ago

Read 2 more answers

Pete has 3 dollars less than what Linda has. If together has 81 dollars how much does each person have?

Makovka662 [10]

Answer:

Pete: 39, Linda: 42

Step-by-step explanation:

Suppose Pete has x dollars. If he has 3 dollars less than Linda, then Linda has 3+x dollars. Together, they have 81 dollars:

x+3+x=81

2x+3=81

2x=78

x=39

Since Pete has x dollars, and x=39, he has $39.

Linda has 3+x, which is 39+3 = $42

<em>I hope this helps! :)</em>

8 0

3 years ago

1.Famous basketball player Michael Jordan had a free throw percentage of 0.83. (He made 83% of his free throw shots.) Assume tha

MissTica

Michael Jordan's Freethrow, the population of the 6 countries and the distribution of the uninsured drivers are illustrations of probabilities

<h3>1. Michael Jordan Freethrow</h3>

The given parameter is:

p = 83% -- the percentage of free throws he made

<u>Probability that he misses his 6th throw </u>

The probability that he misses his 6th throw is:

P = P(He made the first 5 throws) * P(He lost the 6th)

This gives

P = (83%)^5 * (1 - 83%)^1

P = 0.0670

<u>Expected number of miss</u>

The expected number till he misses the first free throw is:

E(x) = np

This gives

E(x) = 6 * 83%

E(x) = 4.98

Approximate

E(x) = 5

Hence, the probability that he misses his 6th throw is 0.0670 and the expected number till he misses the first free throw is 5

<h3>2. Country Populations</h3>

The given parameters are:

Average population = 268.35 million

Standard deviation = 370.43 million

<u>The z-scores for the United States, Egypt, and Mexico</u>

This is calculated as:

z = (x - $\mu$ )/ $\sigma$

So, we have:

US = (332 million - 268.35 million)/ 370.43 million

US = 0.17

Egypt = (104 million - 268.35 million)/ 370.43 million

Egypt = -0.44

Mexico = (128 million - 268.35 million)/ 370.43 million

Mexico = -0.38

<u>The countries from the smallest to the largest </u>

By comparing the z-score of the countries, the order of the countries are:

Egypt, Japan, Mexico, Brazil, United States and India

The countries are ranked that way because the higher the z-score, the higher the population

<h3>3. Uninsured drivers</h3>

The given parameter is:

p = 12.6% -- the percentage of uninsured drivers

<u>Probability that exactly 5 drivers of 30 are uninsured</u>

This is calculated as:

P(x) = nCx * p^x * (1 - p)^(n-x)

So, we have:

P(5) = 30C5 * (12.6%)^5 * (1 - 12.6%)^(30-5)

Evaluate the product

P(5) = 0.1561

<u>Probability that the next uninsured driver is the 7th</u>

This is calculated as:

P = P(First 6 are insured) * P(7th is unisured)

This gives

P = (1 - 12.6%)^6 * (12.6%)^1

P = 0.0562

The probability that exactly 5 drivers of 30 are uninsured is 0.1561, and the probability that the next uninsured driver is the 7th is 0.0562