Can anyone help me out with #7. It's proofing. The reasoning part is most confusing to me

Mathematics

1 answer:

nikklg [1K]3 years ago

5 0

The two large triangles can be proven congruent through SSS ASA and SAS, you have all the congruent angles and sides you could ever need to prove the two large triangles congruent in at least 3 ways

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Mark bought 4 pounds of apples for $7.56 what was the cost per pound?

statuscvo [17]

Answer:

$1.89 per pound

Step-by-step explanation:

$7.56÷4

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3 years ago

Read 2 more answers

A cylinder has a radius of 4x+2 and a height of 5x+4. Which polynomial in standard form best describes the total volume of the c

Viefleur [7K]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=4x+2\\
h=5x+4
\end{cases}\implies V=\pi (4x+2)^2(5x+4)
\\\\\\
V=\pi [(4x+2)(4x+2)](5x+4)\\\\\\ V=\pi \stackrel{FOIL}{(16x^2+16x+4)}(5x+4) \\\\\\
V=\pi[ (80x^3+80x^2+20x)+(64x^2+64x+16)]
\\\\\\
V=80\pi x^3+144\pi x^2+84\pi x+16\pi$

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4 years ago

Find the area of the triangle.

dybincka [34]

17.5
A=l•w/2
A=5•7/2
A=35/2
A=17.5

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3 years ago

If 3 x (2 + 3) = •, which expression is equal to •?

Dmitry [639]

Answer: 15

Step-by-step explanation: First you start by adding 2+3=5 then you multiply 5 x 3 which equals 15

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3 years ago

A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat

zmey [24]

Answer:

a) 0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b) 0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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 $s = \frac{\sigma}{\sqrt{n}}$ .