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nikklg [1K]
2 years ago
15

Lukas graphed the system of equations shown.

Mathematics
1 answer:
vampirchik [111]2 years ago
8 0

The system of equations 2x + 3y = 2 and y = (1/2)x + 3 have solutions at x = -2 and y = 2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

From the system of equations 2x + 3y = 2 and y = (1/2)x + 3, the graph of the equation shows that the solution is at x = -2 and y = 2

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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1,836 rounded to the nearest thousands is 2000
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E and C

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Y=11x-4 I need help of this specific answer cause I'm stuck​
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3 years ago
Heights of fourth graders are Normally distributed with a mean of 52 inches and a standard deviation of 3.5 inches. What percent
SVEN [57.7K]

Answer:

C. 59.01%

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 52, \sigma = 3.5

What percentage of fourth graders are between 50 inches and 56 inches?

This is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.

X = 56

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

Z = \frac{56 - 52}{3.5}

Z = 1.14

Z = 1.14 has a pvalue of 0.8729

X = 50

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

Z = \frac{50 - 52}{3.5}

Z = -0.57

Z = -0.57 has a pvalue of 0.2843.

0.8729 - 0.2843 = 0.5886, which is close to 59.01%.

So the correct answer is:

C. 59.01%

7 0
3 years ago
A plumber had two pipes. The ratio of the length of the longer pipe to the
expeople1 [14]

Answer:

4.95m

Step-by-step explanation:

Let the length of longer and shorter pipe be x and y respectively..

given,

x/y=9/2...(i)

x-1.65=3y ...(ii)

in eqn ii..

x-1.65=3y

or, x/y - 1.65/y = 3

or, 9/2-1.65/y =3

or, 4.5-3 = 1.65/y

or, y=1.65/1.5

•°• y = 1.1m

now,

x/y = 9/2

or, x/1.1 = 4.5

x= 4.5×1.1

•°• x= 4.95m

thus, the length of the longer pipe is 4.95m

7 0
3 years ago
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