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guajiro [1.7K]
3 years ago
14

If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you

r answer to two decimal places.) HINT [See Example 4.]
Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer: 0.47

Step-by-step explanation:

Given that

n = 100, probability of rolling 1 = 1/6

binomial approximation

np = 100 ( 1/6) = 16.667

standard deviation = √ 100 × 1/6 ×5/6 = 3.7627

P ( 9 ≤ X ≤ 16 )

= P ( 8.5 < X < 16.5 )

so,

= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627

= P ( -2.17 < Z < -0.04 )

= 0.484 - 0.015

= 0.47

Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47

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A house and a lot cost more than $89,000. The house cost $1000 more than seven times the cost of the lot. How much does the lot
tatyana61 [14]
7x+1000+x=89000

7x+x+1000-1000=89000-1000
8x=88000

8x/8=88000/8
x=$11000
4 0
2 years ago
The amount of time the husband and the wife spend on house work is measured for 15 women and their 15 husbands. For the wives th
dolphi86 [110]

Answer:

The value of the test statistic is z = -0.877.

Step-by-step explanation:

Testing the difference in mean time spent on housework between husbands and wives.

At the null hypothesis, we test if there is no difference, that is, the subtraction of the means is 0:

H_0: \mu_H - \mu_W = 0

At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the means is different from 0.

H_1: \mu_H - \mu_W \neq 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85.

This means that X = 4.5 - 7 = -2.5, s = 2.85

What is the value of the test statistic for testing the difference in mean time spent on housework between husbands and wives?

z = \frac{X - \mu}{s}

z = \frac{-2.5 - 0}{2.85}

z = -0.877

The value of the test statistic is z = -0.877.

4 0
3 years ago
if Mr hansons motorcycle drives 432 miles on 6 gallons of gas how much gas will he need to drive 738​
lozanna [386]

Answer:

10.25 gallons

Step-by-step explanation:

432 miles / 6 gallons=72 miles to gallon

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6 0
3 years ago
Choose the linear inequality that describes the graph. The gray area represents the shaded region.
jek_recluse [69]

Answer:

2x + 3y ≥ 5

Step-by-step explanation:

See the graph attached.

The bold straight line passes through the points (1,1) and (4,-1).

Therefore, the equation of the straight line will be  

\frac{y + 1}{- 1 - 1} = \frac{x - 4}{4 - 1}

⇒ 3(y + 1) = - 2(x - 4)

⇒ 3y + 3 = - 2x + 8

⇒ 2x + 3y = 5 ............. (1)

Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).

So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5

Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)

6 0
3 years ago
A ladder 15 feet from the base of a building reaches a window that is 35 feet high. What is the length of the ladder to the near
nikdorinn [45]
All you do is use the a+b=c formula lets plug it in
15+b=35
15+20=35
35=35
The answer is 20
7 0
2 years ago
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