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3 years ago

How many triangles exist with the given side lengths? 4m, 4m, 7m.

Mathematics

2 answers:

EleoNora [17]3 years ago

8 0

1 <span>an isosceles triangle because two equal sides</span>

attashe74 [19]3 years ago

3 0

The answer will be 1 and if you want to find m. Here is the step:
4m+4m+7m=180°
15m=180°
Divided 15 from both side
m=12°. Hope it help!

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Exactly a year ago, the volume of Arlington lake was 1,620,757 liters. Right now, it’s volume is 382,403 liters greater. How man

ANTONII [103]

Answer:

Step-by-step explanation: 2003160

If you add them up, you get 2003160.

So the lakes holds 2003160 LITERS of water to the current date.

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3 years ago

Read 2 more answers

What is the degree of the polynomial 17x + 4.<br> Just write the answer like 1 or 2 etc.

fomenos

<h3>Answer: 1</h3>

Explanation:

The original expression is the same as $17x^1 + 4$ since $x^1 = x$

The degree of any polynomial is always the largest exponent. This applies to single variable polynomials only.

Therefore, the degree of $17x^1 + 4$ is 1. This is a linear polynomial, and it's also a binomial since it has 2 terms 17x and 4.

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3 years ago

which values of x and y are solutions to the open sentence? 4y ≥ 3x 2 a. x = 3, y = 0 b. x = 4, y = 3 c. x = 6, y = 5 d. x = 7,

boyakko [2]

4y ≥ 3x + 2

Plugging in the values in the options, then the required values are when x = 6 and y = 5, then
4(5) ≥ 3(6) + 2
20 ≥ 18 + 2
20 ≥ 20

8 0

3 years ago

Read carefully and choose the name of the student who made the correct statement ..... HELPPP hurry

Arlecino [84]

Answer:

Tyra.

note that the salary for only one car is less at dealership B, but significantly more when you get to 10 cars. that indicates that the base salary is less, but the commissions are higher.

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3 years ago

A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the

hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that $p = 0.08$

Sample of 595:

This means that $n = 595$

Mean and standard deviation:

$\mu = p = 0.08$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111$

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.05 - 0.08}{0.0111}$

$Z = -2.7$

$Z = -2.7$ has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

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3 years ago