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3 years ago

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There are 6,000 hotel rooms in Sean's city. During a convention, 4,200 of the hotel rooms were occupied. What percentage of the

hotel rooms in the city were occupied during the convention?

1 answer:

Rudik [331]3 years ago

3 0

Answer:

70% of the hotel rooms were occupied during the Convention

Step-by-step explanation:

4200 / 6000

= 0.7

0.7 = 70%

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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

2 years ago

PLEASE PLEASE HELP

nekit [7.7K]

Answer:68.3 degrees

Step-by-step explanation:

The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows

c^2 = a^2 + b^2 - 2abCos C

Looking at the triangle,

b = 75 miles

a = 80 miles.

Angle ACB = 180 - 42 = 138 degrees. Therefore

c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138

c^2 = 6400 + 5625 - 12000Cos 138

c^2 = 6400 + 5625 - 12000 × -0.7431

c^2 = 12025 + 8917.2

c = √20942.2 = 144.7

To determine A, we will apply sine rule

a/SinA = b/SinB = c/SinC. Therefore,

80/SinA = 144.7/Sin 138

80Sin 138 = 144.7 SinA

SinA = 53.528/144.7 = 0.3699

A = 21.7 degrees

Therefore, theta = 90 - 21.7

= 68.3 degees

8 0

3 years ago

The expression below represents Julias annual salary after tyears interpret the meaning of the expression 25,000(1.04) interpret

LuckyWell [14K]

Given that the expression for Julia's salary after t years is given by:
25000(1.04)^t
This can be interpreted as follows:
Initial salary is $25000
growth rate is 0.04=4%
thus the correct answer is:
<span>D salary is 25,000 growth rate is 4% per yr</span>

8 0

3 years ago

Please help help help!!!!!!

kvasek [131]

<h2>Answer:</h2>

option (c) 2

<h2>Step-by-step explanation:</h2>

<u>First step</u> : Multiply

<u>Second step</u> : Add

9 × 2 + 3 + 6 + 9 = 36

$\therefore$ The correct answer is 2.

3 0

1 year ago

Over 6 days jim jogged 6.5 miles 5 miles 3 miles 2 miles 2 miles 3.5 miles and 4 miles. What is the mean distance that jum jogge

Marizza181 [45]

Mean means average.

To find the average, add the data then divide it by the amount of individual data you have.

(6.5 + 5 + 3 + 2 + 2 + 3.5 + 5)/2 = mean

27/2 = mean

13.5 = mean

13.5 miles is the mean distance that Jim jogged.

5 0

3 years ago