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2 years ago

What is the solution for x in the equation? -4 + 5x − 7 = 10 + 3x − 2x A. B. C. D.

Mathematics

1 answer:

laiz [17]2 years ago

8 0

Answer:

x=21/4

Step-by-step explanation:

1. combine like terms

-4+-7= -11 3x-2x=x

2. subtract x

5x-11=x+10

4x-11=10

3. add 11

4x=21

4. divide 21 by 4 = 21/4

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The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev

Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 30.05 inches

$\sigma$ = standard deviation = 0.2 inches

n = sample of sheets = 4

So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches) = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z < 3) = 0.99865

P(X bar <= 30.25) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ <= $\frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches) = 0.99865 - 0.97725

= 0.0214

7 0

2 years ago

A delivery truck is stocked with boxes of leather footballs. The graph shows the relationship between the number of footballs an

Natali5045456 [20]

Answer:

The simple answer is 21

Step-by-step explanation:

In the picture if u calculate where the line is heading when it reaches the 3 look at the footballs and you'll see 21,3. Hope it helps and mark as brain list

7 0

2 years ago

Read 2 more answers

Give the angle measure represented by 36.25 rotations counterclockwise

liq [111]

You could say 360(36.25)=13050° but all of the trigonometric relationships will still just obey that angle which is the fractional part because each rotation returns you to the positive x axis. The resulting angle is just .25(360)=90°.

So 13050° is the total angular rotation and 90° is the relative position with respect to the starting point.

4 0

2 years ago

Find H.C.F. and L.C.M. of x3-y3, x2-y2 and (x-y) ?

maks197457 [2]

Answer:

1) x³-y³ = (x-y)(x²-xy+y²)

2)x²-y² =(x-y)(x+y)

3)x-y = (x-y)

hcf = (x-y)

lcm = (x-y)(x²-xy+y²)(x+y)= (x³-y³)(x+y)

Step-by-step explanation:

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1 year ago

There are 3 alternative routes by which you may drive to work: Alabaster Street, Brillantine Street, and Clancy Street. It is th

Solnce55 [7]

Answer:

25%

Step-by-step explanation:

sorry i did it in my head

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2 years ago