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romanna [79]
3 years ago
10

Find s in the parallelogram

Mathematics
1 answer:
adell [148]3 years ago
8 0

Answer:

Step-by-step explanation:

DE=DG

8s-97=3s-22

5s-97=-22

5s=75

s=15

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The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What
Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = <u><em>heights of 18-year-old men.</em></u>

So, X ~ Normal(\mu=68,\sigma^{2} =3^{2})

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean height = 68 inches

           \sigma = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

       P(X > 65 inches) = P( \frac{X-\mu}{\sigma} > \frac{65-68}{3} ) = P(Z > -1) = P(Z < 1)

                                                                = <u>0.8413</u>

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

6 0
3 years ago
REALLY NEED ALGEBRA HELP please
lisabon 2012 [21]
A. The discriminant is 81. The formula is b^2 - 4ac.

B. 2 answer and both will be rational due to the fact that the discriminant is a perfect square. 

C. Solutions are 1/2 and -4. You can find using the quadratic formula. 
8 0
4 years ago
Which is the graph of f 52
Fofino [41]

There is no illustration, so it is impossible to answer this question. I apologize.

6 0
3 years ago
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant e
Alex17521 [72]

Answer: 0.23

Step-by-step explanation:

Given : F is the event "works in the finishing department;"

and A is the event "is absent excessively."

Given : 10% of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.

i.e. P(A)= 0.20 ;  P(F)=0.10 ; P(A ∩ F) = 0.07

We know that P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)

Then,

P(A\cup F)=P(A)+P(F)-P(A\cap F)\\\\\Rightarrow\ P(A\cup F)=0.20+0.10-0.07=0.23

Hence, the required answer is P(A\cup F)=0.23

5 0
3 years ago
Simplest form please. thanks
Burka [1]

Hi,

11 feet becuase when you divide 35.75 by 3.25 you get 11

Hoped this helped

3 0
3 years ago
Read 2 more answers
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