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Ostrovityanka [42]
3 years ago
7

Find the height of a rectangle with a base of 11 in and area of 120 in2

Mathematics
1 answer:
Mrac [35]3 years ago
3 0

Answer:

that is the solution to the question

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The population mean annual salary for environmental compliance specialists is about ​$62,000. A random sample of 32 specialists
lakkis [162]

Answer: 0.002718

Step-by-step explanation:

Given : The population mean annual salary for environmental compliance specialists is about ​$62,000.

i.e. \mu=62000  

Sample size : n= 32

\sigma=6200

Let x be the random variable that represents the annual salary for environmental compliance specialists.

Using formula z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}, the z-value corresponds to x= 59000 will be :

z=\dfrac{59000-62000}{\dfrac{6200}{\sqrt{32}}}\approx\dfrac{-3000}{\dfrac{6200}{5.6568}}=-2.73716129032\approx-2.78

Now, by using the standard normal z-table , the probability that the mean salary of the sample is less than ​$59,000 :-

P(z

Hence, the probability that the mean salary of the sample is less than ​$59,000= 0.002718

3 0
3 years ago
HEy does anyone go to Purchase line High school in Pennsylvania? And is in 8th grade
galina1969 [7]
No I’m not I got to los lunas middle school in New Mexico
4 0
2 years ago
Difintion of range​
zavuch27 [327]

Answer:

the area of variation between upper and lower limits on a particular scale

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Select the number sentence that illustrates the commutative property of addition.Select one of the options below as your answer:
AVprozaik [17]
The best answer for the question of what illustrates the commutative property of addition is letter c which is 22 + 11 = 11 + 22. Because the commutative property of addition states that a + b = b + a, thus the chosen answer is the best answer.
8 0
3 years ago
Look down below for question:
ale4655 [162]
Area of ABC : AB*AC/2

the maximum of the parabola is reached at x=-4/(2*(-1))=2 hence A is at (2,0) and B is at (2,(-2)^2+4*2+C)=(2,12+C)

C is the second root (x-intersect), which we can find :

determinant1 : D=16-4*(-1)*C=4(4+C) thus the second root is at x=\frac{-4-\sqrt{4(4+C)}}{-2}=2+\sqrt{4+C}

Hence the area of the triangle is AB*AC/2=(4+C)*(2+\sqrt{4+C}-2)/2=(4+C)\sqrt{4+C}/2=32 hence (4+C)\sqrt{4+C}=64 .

We remark that 64=16*4=16*\sqrt{16}

Hence 4+C=16 thus C=12

5 0
3 years ago
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