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serious [3.7K]
2 years ago
12

A line has the equation y = 6x + 14 What are the coordinates of the y-intercept of the line?

Mathematics
1 answer:
Firdavs [7]2 years ago
4 0

Answer:

(0,4)

Step-by-step explanation:

formula is y = mx + b

b is the y intercept

y intercept is where the line passes through the y axis

when x is 0 y is 14

because y = 6(0) + 14 -> y= 0+14 -> y= 14 when is 0

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Solve the system of equations<br> -6y+11x=-36 <br> -4y+7x=-24 <br> x=<br> y=
Papessa [141]

Answer:

Y=6

X=0

Step-by-step explanation:

Hope this helps

3 0
3 years ago
Which of the following values is a solution of |2-x| less than 4
morpeh [17]

The correct answer is -1.

In order to solve this, we need to split into the positive and negative version of the answers. Let's start with the positive version.

2 - x < 4

-x < 2

x > -2 ----> NOTE: When we divide by -1, we have to change the direction of the sign.

Now we'll do the negative version.

2 - x > -4

-x > -6

x < 6

So we know the number must be greater than -2, but less than 6. The only number on this list that fits that is -1.

4 0
4 years ago
A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the ques
Darya [45]

Answer:

.70 hope this helps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
in 1900, a certain country's population was 76,199,547 and is area was 2,946,710 square miles. in 1980 the country's population
rjkz [21]
Hello.

Divide 315,530,612 by 3,539,225 

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3 0
3 years ago
A synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and stan
yKpoI14uk [10]

Answer:

43.25% probability that a random sample of n = 6 fiber specimens will have a sample tensile strength that exceeds 75.75 psi.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 75.5, \sigma = 3.5, n = 6, s = \frac{3.5}{\sqrt{6}} = 1.43

Find the probability that a random sample of n = 6 fiber specimens will have a sample tensile strength that exceeds 75.75 psi.

This is 1 subtracted by the pvalue of Z when X = 75.75. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{75.75 - 75.5}{1.43}

Z = 0.17

Z = 0.17 has a pvalue of 0.5675.

1 - 0.5675 = 0.4325

43.25% probability that a random sample of n = 6 fiber specimens will have a sample tensile strength that exceeds 75.75 psi.

5 0
4 years ago
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