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olasank [31]
3 years ago
14

A warehouse has boxes that are 18 inches tall and other boxes that are 30 inches tall. If 18 inch boxes is stacked next to 30 in

ch boxes, what is the lowest height at which the two boxes will be the same height?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
4 0

90 inches 18 times 5 is 90 and 30 times 3 is 90 so the lowest point which they will be at the height is 90 inches

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1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that
valina [46]

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

z=\frac{100000-72641}{30000}=0.91

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

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z=\frac{100000-72641}{30000/\sqrt{5} }=2.04

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

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z=\frac{100000-72641}{30000/\sqrt{10} }=2.88

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4 0
3 years ago
What is the product?<br> (4x)(-3x^8)(-7x^3)
SashulF [63]

Answer:

84x¹²

Step-by-step explanation:

To simplify this expression, we work from left to right:

4x(-3x⁸)(-7x³)

Multiplying the coefficients of the first two, we have 4(-3) = -12.  Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹.  This gives us

-12x⁹(-7x³)

Multiplying the coefficients, we have -12(-7) = 84.  Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²

This gives us

84x¹²

5 0
3 years ago
The graphs of y=p(x) and y=q(x) are shown. The graph of y=q(x) is a transformation of the graph of y=p(x).
Nonamiya [84]

Answer:

Step-by-step explanation:

THE ANSWER IS B

8 0
3 years ago
Hey if you're willing to help me with this, it will be very much appreciated, thanks maties and mates.
Nastasia [14]

Answer:

Width=37in

Length=55in

Step-by-step explanation:

Let x in be the width dimension, the length dimension will be x+18 in. Area of a rectangle is calculated as A=lw. Given  the area as2143 sq in, x can be calculated as:

Area= x(18+x)\\\\=18x+x^2\\\\

#Substitute for every x in our function to find the true value of x:

x=37\\\\A=x^2+18x\\\\=37^2+18\times37\\\\=2035 \ in^2#l=37+18=55in

for x=38:

x=38\\\\A=x^2+18x\\\\=38^2+18\times38\\\\=2128 \ in^2#l=38+18=56in

For x=39:

x=39\\\\A=x^2+18x\\\\=39^2+18\times39\\\\=2223 \ in^2#l=39+1854in

From the calculations above, A television with a width of 37 in and length 55in has its area closest to 2143 sq in.

4 0
3 years ago
A store sells 4 cans of beans for $9. What is the price of 7 cans of beans?
nirvana33 [79]
So for 4 cans of beans for $9, each can would be $2.25 so then we multiply that by 7 so it would be $15.75 for 7 cans of beans
5 0
3 years ago
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