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zalisa [80]
1 year ago
14

Find the Z score to the nearest hundred thousand satisfies the given condition 0.166 square units of the standard normal distrib

ution is to the left of the Z
Mathematics
1 answer:
sergij07 [2.7K]1 year ago
8 0

The sum of the total area of a distribution is equal to 1. In our problem, we have 0.166 square units to the left of our value, therefore, we have the following area on the right

1-0.166=0.834

Using a z-table, we can find the corresponding z-value for this area to the right

The corresponding z-score to this area is 0.97, however, this value is below the mean, therefore it is negative.

The coresponding z-value is

z=-0.97

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There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i
iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0
3 years ago
The following table details the working populations, income tax rates, and average salary in equivalent US dollars) for
Ber [7]

Answer:

d.

Chile collects $10,805,998,234 more than Peru.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Plz help me I am timed plz
lys-0071 [83]

Answer:

it's D

Step-by-step explanation:

step 1 : add all the numbers

80 +100+20 +40

=240

step 2: divide the total by how many numbers there are

240÷4

=60

7 0
3 years ago
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Kaycee made 8 identical bags using 7 yards of fabric. How much fabric did Kaycee use for each bag?
marissa [1.9K]

Answer:

0.43 yards is the answer

Step-by-step explanation:

5 0
3 years ago
HELP ASAP<br><br><br><br> GEOMETRY<br> .<br> .<br> .<br> .<br> .<br> .
lukranit [14]

Answer:

1.  y = -(2/5)x - (1/5)

2. y = -(9/5)x - 4

Step-by-step explanation:

For 1:

Step 1:  rewrite the equation of the given line in to slop-intercept form by solving for y

 2x + 5y = 15    

     5y = -2x + 15               (subtract 2x from both sides)

        y = -(2/5)x + 3           (divide both side by 5)

Step 2:  Our line is parallel to this line, so it has the same slope, but a different  y-intercept, so set up the equation...

  y = -(2/5)x + b      

We are given a  point (x, y) of (2, -1), so plug that in and solve for b.

 -1 = -(2/5)(2) + b

    -1 = -4/5 + b      (simplify)

        4/5 -1 = b      (add 4/5 to both sides to isolate b)

        4/5 - 5/5 = b

             -1/5 = b            

So the equation of our line is  y = -(2/5)x - (1/5)

For 2:  

Step 1:  Perpendicular lines have slopes that are opposite reciprocals of each other.  That means you take the slope, flip the fraction, and change the sign.

Here our given line is y = (5/9)x - 4 so the slope 5/9

The opposite reciprocal of 5/9 is -9/5

We set up the equation

y = -(9/5)x + b      

  we are given a point (x, y) of (-5, 5), so plug that in and solve for b

5 = -(9/5)(-5) + b

    5 = 9 + b

     -4 = b  

So our equations is  y = -(9/5)x - 4

       

6 0
3 years ago
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