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Lelechka [254]
2 years ago
14

Solve for x. Please help

Mathematics
1 answer:
Andrei [34K]2 years ago
8 0

Answer:

x=3

Step-by-step explanation:

(11-3)+3x+1 = 5x+3

8+3x+1 = 5x+3

9+3x= 5x+3

6=2x

x=3

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Triangle DEF is an isosceles, so DEF = DFE.
Katarina [22]

Answer:

m∠CFD=105\°

Step-by-step explanation:

we know that

m∠CFD+m∠DFE=180\° ------> by supplementary angles

we have

that

m∠DFE=m∠DEF=75\°

so

m∠CFD+75\°=180\°

m∠CFD=180\°-75\°=105\°

8 0
3 years ago
Read 2 more answers
Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &
elixir [45]

Answer:

P(X < 80) = 0.89435.

Step-by-step explanation:

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.

In this question, we have that:

\mu = 60, \sigma = 16

P(X < 80)

This is the pvalue of Z when X = 80. So

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

Z = \frac{80 - 60}{16}

Z = 1.25

Z = 1.25 has a pvalue of 0.89435.

So

P(X < 80) = 0.89435.

5 0
2 years ago
A) (x+3)²<br> b) (x-4)²<br> c) (3+2x) (3-2x)<br> d) (x+2)³<br> e) x³-8
horrorfan [7]
What’s the question?
6 0
2 years ago
Select the correct answer.
Julli [10]

Answer:

Your answer for the above equation is D

3 0
2 years ago
Pascale leaves the office to go home. She walks 12 blocks due north and then 9 blocks due west. How far is she from the office?
Stells [14]

Answer:

15 blocks

Step-by-step explanation:

We can use the Pythagorean theorem to solve the right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + 9^2 = h^2

144+81 = h^2

225= h^2

Taking the square root of each side

sqrt(225) = sqrt(h^2)

15 = h

7 0
3 years ago
Read 2 more answers
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