Check my answer? The two triangles are similar. What is the value of x? 5.

Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8

r-ruslan [8.4K]

Answer:

oogla boogla

Step-by-step explanation:

5 0

3 years ago

When a number is tripled,the results is -33

defon

Answer:

x = -11

Step-by-step explanation:

Considering tripled means multiplied by 3 because of tri, we know that we can use the equation 3x = -33.

To solve this we can divide both sides by 3:

3x = -33

x = -11

This gives our answer of -11.

4 0

3 years ago

A customer in a store had two 50% off coupons. She tried to buy a purse with them, gave them to the cashier

antoniya [11.8K]

Answer:

Well, I think that the 50% coupons would give you only 50% off of your entire purchace. Not 100% off.

Step-by-step explanation:

8 0

2 years ago

find the particular solution to the exact differentiable equation dy/dx=(2e^x)-cosx passing through the point (0,3)

lozanna [386]

Answer:

y = 2eˣ - sin x + 1

Step-by-step explanation:

dy/dx = 2eˣ - cos x

(0, 3)

Integrate dy/dx to find the original function.

y = 2eˣ - sin x + C

Solve for C by substituting the point given.

3 = 2e⁰ - sin(0) + C
3 = 2 - 0 + C
1 = C

Now we can substitute C into the original function.

y = 2eˣ - sin x + 1

This is the particular, or explicit, solution to the differentiable equation.

7 0

3 years ago

Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa

Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

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 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.

Mean 8.7% and standard deviation 20.2%.

This means that $\mu = 8.7, \sigma = 20.2$

40 years:

This means that $n = 40, s = \frac{20.2}{\sqrt{40}}$

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

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

By the Central Limit Theorem

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