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photoshop1234 [79]
3 years ago
11

Can someone explain to me how to do this problem???

Mathematics
1 answer:
balandron [24]3 years ago
3 0
Answer is C. Mean is the mid-point value and one standard deviation on either side. (100-85=15 and 115-100=15)
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A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less
den301095 [7]

Answer:

The maximum height of the prism is 12\ m

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

A=L*W

A\leq 27\ m^{2}

so

L*W\leq 27 -------> inequality A

W=x-9 ------> equation B

L=W+6 -----> equation C

Substitute equation B in equation C

L=(x-9)+6

L=x-3 ------> equation D

Substitute equation B and equation D in the inequality A

(x-3)*(x-9)\leq 27-------> using a graphing tool to solve the inequality

The solution for x is the interval---------->[0,12]

see the attached figure

but remember that

The width of the base must be 9 meters less than the height of the prism

so

the solution for x is the interval ------> (9,12]

The maximum height of the prism is 12\ m

8 1
3 years ago
Read 2 more answers
Find the midpoint of the line segment
strojnjashka [21]

Answer:

midpoint (5,4)

Step-by-step explanation:

The midpoint(M) of a segment with endpoints (x₁ , y₁) and ( x₂,  y₂) is

where x₁ = 2 and x₂ = 8

y₁ = 0 and y₂ = 8

M = \frac{x_1 + x_2}{2} ,\frac{y_1 + y_2}{2}

M = \frac{2 + 8}{2} ,\frac{0 + 8}{2}

M = 5 , 4

5 0
3 years ago
Calculate the second moment of area of a 4-in-diameter shaft about the x-x and yy axes, as shown.
Keith_Richards [23]
Second moment of area about an axis along any diameter in the plane of the cross section (i.e. x-x, y-y) is each equal to (1/4)pi r^4.
The second moment of area about the zz-axis (along the axis of the cylinder) is the sum of the two, namely (1/2)pi r^4.

The derivation is by integration of the following:
int int y^2 dA
over the area of the cross section, and can be found in any book on mechanics of materials.

6 0
3 years ago
What is the median for 6.0 6.0 7.0 7.0 8.0 9.0
Vladimir79 [104]

The word median means middle.

The median is 7.0 because it’s in the middle of the following numbers.

3 0
3 years ago
Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spend
sineoko [7]

Answer:

18.45 <u>></u> 3 + h

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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