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3 years ago

A ship is 2.4° off course. If the ship is traveling at 12.0 miles per hour, how far off course will it be after 8 hours?

1 answer:

5 0

12 miles = 1 hr

12 x 8 = 84 miles traveled after 8 hours

2.4 degrees each mile, 2.4 x 84 = 201.6 degrees off course, i believe

hope this helped you out!

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Consider a large shipment of 400 refrigerators, of which 40 have defective compressors. If X is the number among 15 randomly sel

Vlad [161]

Answer:

The required probability is 0.94

Step-by-step explanation:

Consider the provided information.

There are 400 refrigerators, of which 40 have defective compressors.

Therefore N = 400 and X = 40

The probability of defective compressors is:

$\frac{40}{400}=0.10$

It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,

That means n=15

Apply the probability density function.

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We need to find P(X ≤ 3)

$P(X\leq3) =P(X=0)+P(X=1)+P(X=2)+P(X=3)\\P(X\leq3) =\frac{15!}{15!}(0.1)^0(1-0.1)^{15}+\frac{15!}{14!}(0.1)^1(1-0.1)^{14}+\frac{15!}{13!2!}(0.1)^2(1-0.1)^{13}+\frac{15!}{12!3!}(0.1)^3(1-0.1)^{12}\\$

$P(X\leq3) =0.944444369992\approx 0.94$

Hence, the required probability is 0.94

4 0

3 years ago

a school sells boxes of cookies each year for a charity fund .the data set shows the number of boxes the 10 families living on w

Thepotemich [5.8K]

0, 1, 1, 2, 2, 2, 2, 3, 3, 5

minimum: 0
maximum: 5
mean: 2.1
median: 2
mode: 2

I think the data have zero skew. Its mean, median, and mode are based on 2. It shows symmetry.

8 0

3 years ago

Mark has 10 pens. Kate has 5 times as many pens as Mark.

Inessa05 [86]

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

5 0

3 years ago

Destiny has 6 library books on her desk. One third of them are about animals. How many of Destiny’s library books are about anim

Marta_Voda [28]

3 0

3 years ago

8. How many ways can a committee of 5 students be chosen from a student council of 30 students? Is the order in which the member

tankabanditka [31]

Answer: A committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

No , the order in which the members of the committee are chosen is not important.

Step-by-step explanation:

Given : The total number of students in the council = 30

The number of students needed to be chosen = 5

The order in which the members of the committee are chosen does not matter.

So we Combinations (If order matters then we use permutations.)

The number of combinations of to select r things of n things = $^nC_r=\dfrac{n!}{r!(n-r)!}$

So the number of ways a committee of 5 students can be chosen from a student council of 30 students= $^{30}C_5=\dfrac{30!}{5!(30-5)!}$

$=\dfrac{30\times29\times28\times27\times26\times25!}{(120)\times25!}=142506$

Therefore , a committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

4 0

3 years ago