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3 years ago

In a sample with m = 40 and s = 8, what is the z-score corresponding to x = 38?

Mathematics

2 answers:

Alika [10]3 years ago

7 0

Z = (x - m)/s
z = (38-40)/8
z = -2/8
z = -1/4
z = -0.25

The z score is -0.25

jeyben [28]3 years ago

5 0

The z score is -0.25

hope this helps

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What is the result when 78 is increased by 9.5%

densk [106]

First you must find what 9.5 percent of 78 is. To do so, put 9.5 percent as a decimal (.095). Next, take this (.095) decimal and multiply it by 78 (this gives you 9.5 percent of 78). You will end up with the number 7.41. Since 78 is being increased by 9.5%, add 7.41 to 78 to get the final answer of 85.41. Therefore, when 78 is increased by 9.5%, you get 85.41 as a result.

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4 years ago

Read 2 more answers

The probability is 1 in 4,011,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an av

IrinaVladis [17]

Answer:

0.0114

Step-by-step explanation:

(a) What is the probability of a fatal accident over a lifetime?

Suppose A be the event of a fatal accident occurring in a single trip.

Given that:

P(1 single auto trip in the United States result in a fatality) = P(A)

Then;

P(A) = 1/4011000

P(A) = 2.493 × 10⁻⁷

Now;

P(1 single auto trip in the United States NOT resulting in a fatality) is:

P( $\mathbf{\overline A}$ ) = 1 - P(A)

P( $\mathbf{\overline A}$ ) = 1 - 2.493 × 10⁻⁷

P( $\mathbf{\overline A}$ ) = 0.9999997507

However, P(fatal accident over a lifetime) = P(at least 1 fatal accident in lifetime i.e. 46000 trips)

= 1 - P(NO fatal accidents in 46000 trips)

Similarly,

P(No fatal accidents over a lifetime) = P(No fatal accident in the 46000 trips) = P(No fatality on the 1st trip and No fatality on the 2nd trip ... and no fatality on the 45999 trip and no fatality on the 46000 trip)

= $[P(\overline A)] ^{46000} \ \ \ (since \ trips \ are \ independent \ events)$

= $[0.9999997507]^{46000}$

= 0.9885977032

Finally;

P(fatal accident over a lifetime) = 1 - 0.9885977032

P(fatal accident over a lifetime) = 0.0114022968

P(fatal accident over a lifetime) ≅ 0.0114

8 0

3 years ago

A grocer wants to sell fiuit in boxes.

horrorfan [7]

Answer:

Solution given:

For finished box

length[L]=36-4-4=28in

breadth [b]=36-4-4=28in

height[h]=4in

Now

volume of square box=l×b×h=28*28*4=3136in³

the volume of finished box is 3136in³

2.

if we change the 4 inches into different measurement ,its maximum or largest volume is 3136in³.

As volume is constant.

3 0

3 years ago

An economy package of cups has 630 green cups. If the green cups are 30% of the total package, how many cups are in the package?

allochka39001 [22]

There are 2100 cups in the package.

Step-by-step explanation:

Given,

Number of green cups in package = 630

This represent 30% of the total package.

Let,

x represent the total number of cups in package.

30% of x = 630

$\frac{30}{100}*x=630\\0.30x=630$

Dividing both sides by 0.30

$\frac{0.30x}{0.30}=\frac{630}{0.30}\\x=2100$

There are 2100 cups in the package.

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

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3 years ago

When the prefix milli is used, it means multiply the number by ? ?

valina [46]

1 meter = 1000 millimeters

so, 5 meters = 5*1000 = 5000 millimeters

and 6000 millimeters = 6000 / 1000 = 6 meters

3 0

3 years ago