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3 years ago

What is m<KNL? Enter your answer in the box

Mathematics

1 answer:

steposvetlana [31]3 years ago

3 0

The measurement of ∠KNL is 102°

First, you must set up an equation to find x.

$5x+2=[3(x+14)$

Then, you must simplify both sides of the equation.

$5x+2=3x+42$

Next, subtract 3x on both sides.

$2x+2=42$

Then, subtract 2 on each side.

$2x=40$

Next, divide 2 on each side.

$x=20$

Now that we have the value of x, we can substitute it in for angle KNL.

$[3(20+14)]$

$[3(34)]$

$102$

$102$ °

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3 years ago

The value of a computer which was bought for rs40,000 depreciates at 10%annually what will be the cost of computer after 2 years

aalyn [17]

Answer:

Rs32400

Step-by-step explanation:

By the first year, it will decrease by : 40000 x 10% = 4000
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2 years ago

The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a n

xz_007 [3.2K]

Answer:

(15,595, 16,805)

Step-by-step explanation:

We have to:

m = 16.2, sd = 3.75, n = 150

m is the mean, sd is the standard deviation and n is the sample size.

the degree of freedom would be:

n - 1 = 150 - 1 = 149

df = 149

at 95% confidence level the t is:

alpha = 1 - 95% = 1 - 0.95 = 0.05

alpha / 2 = 0.05 / 2 = 0.025

now well for t alpha / 2 (0.025) and df (149) = t = 1,976

the margin of error = E = t * sd / (n ^ (1/2))

replacing:

E = 1,976 * 3.75 / (150 ^ (1/2))

E = 0.605

The 95% confidence interval estimate of the popilation mean is:

m - E <u <m + E

16.2 - 0.605 <u <16.2 + 0.605

15,595 <u <16,805

(15,595, 16,805)

5 0

3 years ago

The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home

JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

<u>Question asked:</u>

How many gallons of gas did the car use on the drive?

<u>Solu</u>tion:

Before they left, quantity of gas in the tank = $\frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons$

When they returned, quantity of gas in the tank = $\frac{1}{3} \times18=\frac{18}{3} =6\ gallons$

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0

3 years ago

What is m<KNL? Enter your answer in the box​

What is m<KNL? Enter your answer in the box