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GaryK [48]
3 years ago
15

I need help please.

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer: 96.77

Step-by-step explanation:

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Which equation represents the line that passes through the points (2,7) and (1,5)
Dimas [21]

Answer:

First we get the slope of line with points (2,3) & (1,5):

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F%28-1%29

m=-2, slope

Knowing the slop, we can get the intercept in point (1,1):

y=mx%2Bb, SLOPE- INTERCEPT

1=-2%281%29%2Bb

b=1%2B2=3

so, the eqn of the line: highlight%28y=-2x%2B3%29

The line with points (2,3) & (1,5): same slope because parallel, we'll check

 

VIA POINT SLOPE FORM:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F-1 ----> m=-2, same right?

For the intercept thru pints (2,3):

Via SLOPE INTERCEPT FORM, we pick points (2,3)

3=-2%282%29%2Bb

b=3%2B4=7 ----> y intercept. The same value if you pick points (1,5).

Eqn of line: y=-2x%2B7 (Green line) parallel to y=-2x%2B3 (Red line)

See the graph,

--- see red line, it passes at point (1,1). Also green line passes points (2,3) & (1,5)

Step-by-step explanation:

5 0
2 years ago
4. One egg has a mass of about 50 grams. What is the mass of 1 dozen<br>eggs?<br>Answer<br>©<br>[1]​
VMariaS [17]

Answer:

well 1 dozen is 12 so 12x50 is 600

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the length of 0.015 to the nearest hundreths
DedPeter [7]

The answer is 0.02

We rounded the 1 up to a 2 because it was followed by a 5. If it were followed by something smaller than 5, it would have remained the same.

7 0
2 years ago
A population has a mean of 180 and a standard deviation of 24. A sample of 100 observations will be taken. The probability that
jeka94

Answer:

The probability that the mean from that sample will be between 183 and 186 is 0.0994 = 9.94%.

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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 distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A population has a mean of 180 and a standard deviation of 24.

This means that \mu = 180, \sigma = 24

A sample of 100 observations will be taken.

This means that n = 100, s = \frac{24}{\sqrt{100}} = 2.4

The probability that the mean from that sample will be between 183 and 186 is:

This is the pvalue of Z when X = 186 subtracted by the pvalue of Z when X = 183. So

X = 186

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

By the Central Limit Theorem

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

Z = \frac{186 - 180}{2.4}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

X = 183

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

Z = \frac{183 - 180}{2.4}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

0.9938 - 0.8944 = 0.0994

The probability that the mean from that sample will be between 183 and 186 is 0.0994 = 9.94%.

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3 years ago
If you grow 523 eggplants and sell 378 how many do u have left
hammer [34]

you will have 145 eggplants

6 0
3 years ago
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