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Nonamiya [84]
1 year ago
8

A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y?

Mathematics
2 answers:
Alexus [3.1K]1 year ago
7 0

Answer:

Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)

(1, 2): 2=2+b --> b=0

So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:

yuradex [85]1 year ago
7 0
Answer of y is 6.

Refer image

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Answer:

it is 7200 Liters

Step-by-step explanation:

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6 0
2 years ago
A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, 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 normally distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n 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 = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
Caleb started saving money in a cookie jar. He started with $25 .He adds $10 to the cookie jar each week. Write an equation wher
Kryger [21]
It would be, t= 10w + 25 And to make a graph but in values for w; w: 1 / 2 / 3 / 4 t: 35/ 45 / 55 / 65 And then you plot the points on the graph.
8 0
3 years ago
Of his 94 compact discs, Raul plans to donate 17 to the thrift store. To the nearest tenth of a percent, what percent is this?
Masteriza [31]
For this case we can solve the problem by means of the following rule of three:
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6 0
3 years ago
Who do I do this problem
Leviafan [203]
You subtract 16 from each side of the equation.
Then it will say exactly what number 'n' is.
_______________________________________

The equation is                    n + 16 = 9

On the left side, you subtract 16 from (n + 16) and you have 'n'.

On the right side, you subtract 16 from 9 and you have  -7 .

Now the equation says          n      =  -7
3 0
3 years ago
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