The falls that make up Niagara Falls are eroding backwards, thus migrating upstream.

Ill in the blank with the correct number:

kakasveta [241]

Answer:

88.56 with tax included

8 0

3 years ago

1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n

Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

70% of fatalities involve an intoxicated driver, hence $p = 0.7$ .

A sample of 15 fatalities is taken, hence $n = 15$ .

The probability is:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

Hence

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061$

$P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186$

$P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700$

$P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916$

$P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305$

$P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047$

Then:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215$

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0

3 years ago

Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $5. On Saturday, Rob earned $84 babysitting.

Bond [772]

He saved 30 dollars through babysitting. My math is:

84 / 14 = 6

6 x 5 = 30

I hope this helps!

3 0

3 years ago

Dale and 2 friends share one fourth of a cake.Each peice is the same size.Dale belives each peice of cake has an angle measure i

Umnica [9.8K]

Answer:

The correct answer is Dale is absolutely wrong.

Step-by-step explanation:

When the cake was complete, it had 360°. When the cake is divided into four halves each half now has 90° each.

Three person including Dale is about to eat the one fourth of the cake, divided among them equally.

Thus each friend gets $\frac{90}{3}$ ° = 30° of cake each.

But Dale claims that each piece of cake has an angle measure if 45°, which is a contradiction as each piece is supposed to to be equal.

Thus Dale is WRONG.

4 0

3 years ago

Which number is bigger 1.01 or 1.0099999?

lord [1]

1.01 is bigger. The the 1 is in the hundredth position where as the 9 is in the thousandths position, The further to the left the numbers are larger.

7 0

3 years ago