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3 years ago

11

The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 3 a

nd 5. A larger triangle has side lengths of 9 and x + 1. 10 11 14 15

2 answers:

Shkiper50 [21]3 years ago

8 0

Answer: 14

Step-by-step explanation:

just olya [345]3 years ago

4 0

Answer:

14 is the answer

Step-by-step explanation:

I hope I helped

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"is it possible to have more than one set of seven numbers having a mean of 50 and a standard deviation of 0?"

12345 [234]

The answer is 1.6. How??

8 0

4 years ago

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0

Karo-lina-s [1.5K]

A Point-Slope equation of a straight line has this form: y - y1 = m(x-x1)

We can recognize any points of the graph.
(0,80000) ; (10,50000)

Given:
<span>y -50,000 =______(x -10)

We need to find the slope.

Slope = Change in y / Change in x = 80,000 - 50,000 / 0 - 10 = 30,000 / -10 = -3,000

The slope is equal to -3000. Choice A.

</span><span>y -50,000 = -3,000(x -10)</span>

8 0

3 years ago

Read 2 more answers

What is the value of 2 1/5 +3 4/5=

navik [9.2K]

Answer:

6

Step-by-step explanation:

I like to line up my addition problems vertically

2 1/5

+ 3 4/5

--------------

5 5/5

but 5/5 = 1

5 + 1

6

5 0

3 years ago

1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches,

omeli [17]

Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube: $V=s^3\\$ (s - side length)

Formula for Surface Area of a Cube: $SA=6s^2$ (s- side length)

<h3>For Cube 1:</h3>

The side length's 15 inches.

Find the volume:

$V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}$

The volume of cube one is 3375in³.

Find the surface area:

$SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}$

The surface area of cube 1 is 1350in².

<h3>For Cube 2:</h3>

The side length's 8 inches.

Find the volume:

$V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}$

The volume of cube two is 512in³.

Find the surface area:

$SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}$

The surface area of cube 2 is 384in².

<em>Brainilest Appreciated. </em>

3 0

3 years ago

The mean rent of a 3-bedroom apartment in Orlando is $1300. You randomly select 10 apartments around town. The rents are normall

lana [24]

Answer:

96.49% probability that the mean rent is more than $1100

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 normally distributed samples are solved using 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 $s = \frac{\sigma}{\sqrt{n}}$ .

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

In this problem, we have that:

$\mu = 1300, \sigma = 350, n = 10, s = \frac{350}{\sqrt{10}} = 110.68$

What is the probability that the mean rent is more than $1100?

This is 1 subtracted by the pvalue of Z when X = 1100. So

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

By the Central Limit Theorem

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

$Z = \frac{1100 - 1300}{110.68}$

$Z = -1.81$

$Z = -1.81$ has a pvalue of 0.0351

1 - 0.0351 = 0.9649

96.49% probability that the mean rent is more than $1100

7 0

4 years ago