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2 years ago

PLEASE HELPP AND SHOW WORK

Mathematics

1 answer:

lawyer [7]2 years ago

3 0

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

$\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}$

$\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}$

And AB = AD + DB

= 2(AD) [Since, AD = DB]

By substituting these values,

$\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}$

2 = $\frac{34}{x-8}$

x - 8 = $\frac{34}{2}$

x - 8 = 17

x = 17 + 8

x = 25

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If 30 gallons of water weighs 249 pounds, what is the weight of 7 gallons of water in pounds?

gizmo_the_mogwai [7]

Answer: 58.1 pounds

Step-by-step explanation:

Use proportion to solve peroblem.

30:249=7:x

30x=249*7

x=249*7/30

x=58.1 pounds

6 0

2 years ago

A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one comer to the opposite corner. Find the length o

DochEvi [55]

The length of side walk is 500 feet

Solution:

Given that, A rectangle park measures 300 ft by 400 ft

Length = 300 feet

Width = 400 feet

A sidewalk runs diagonally from one comer to the opposite corner

We have to find the length of side walk

Which means, we have to find the length of diagonal of rectangle

The diagonal of rectangle is given by formula:

$d = \sqrt{w^2+l^2}$

Where,

d is the length of diagonal

w is the width and l is the length of rectangle

Substituting the values in formula, we get

$d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500$

Thus length of side walk is 500 feet

5 0

3 years ago

Please help me with this

goblinko [34]

Answer:

the anwser is 2637 passengers a day

Step-by-step explanation:

5 0

3 years ago

Two spinners are spun. One has 5 sections labeled Red, Orange, Purple, Yellow, and Green. The other has three sections labeled 1

quester [9]

Answer:

$S = 15$ possible outcomes

Step-by-step explanation:

For any experiment, the sample space of this experiment is the set of all the possible results of the experiment.

In this case we have two spinners. The first has 5 colors, by spinning the spinner you can get up to 5 different results. Therefore the sample space is $S_1 = 5$

For the second spinner there are 3 possible results. By spinning the spinner you can get the numbers 1, 2 or 3. Then $S_2 = 3$ .

Then, if the two spinners are rotated, the sample space would be:

$S = 5*3$

$S = 15$ possible outcomes.

The tree diagram shown in the attached image shows the 15 possible results

{R, 1} {R, 2} {R, 3} {O, 1} {O, 2} {O, 3} {Y, 1} {Y, 2} {Y, 3} {P, 1} {P, 2} {P, 3} {G, 1}

{G, 2} {G, 3}

4 0

2 years ago

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

Step-by-step explanation:

Let X = temperature increase.

The random variable X follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of X is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable X as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

3 years ago

PLEASE HELPP AND SHOW WORK​

PLEASE HELPP AND SHOW WORK