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3 years ago

What is the value of x?

Mathematics

1 answer:

vredina [299]3 years ago

6 0

Answer:

x=30°

hopefully this answer can help you to answer the next question

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Which situation can be simulated by rolling a six-sided die once?

AleksandrR [38]

Answer:

A. Selecting one person from a group of four boys and two girls.

Step-by-step explanation:

A dice has six sides and here we have six people we're trying to choose from. If each person is assigned a number on the dice rolling the dice once will pick out of the six of them.

8 0

3 years ago

Read 2 more answers

The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

As length is 12 feet longer than the width.

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

4 0

3 years ago

The formula for electrical power is P, is P= I^2 R, where I is current and R is resistance. The formula for I in terms of. P and

Butoxors [25]

Ans

I = sqrt(P/R)

Step-by-step explanation:

You divide both sides by R first

P/R = I^2 R/R

So,

I^2 = P/R

take the square root of both sides

I = sqrt(P/R)

7 0

3 years ago

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10) The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 1. What PERCENT of the class is girls

klio [65]

Answer:

25%

Step-by-step explanation:

ratio is 3B : 1G (this means, out of 4 sections, 3 are boys and 1 are girls)

this means that 3/4 of class is boys and 1/4 are girls

1/4 equals 25%

7 0

2 years ago

A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and test

frutty [35]

Answer:

The 95% confidence interval for mean tire life is between 52,368.4 kilometers and 67,911 kilometers.

Step-by-step explanation:

We are in posession of the sample's standard deviation, so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.68

The margin of error is:

M = T*s = 2.1315*3645.94 = 7771.3

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60139.7 - 7771.3 = 52,368.4.

The upper end of the interval is the sample mean added to M. So it is 60139.7 + 7771.3 = 67,911.

The 95% confidence interval for mean tire life is between 52,368.4 kilometers and 67,911 kilometers.

3 0

3 years ago

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