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Leviafan [203]
3 years ago
14

(x+30 degrees) +(45 degrees)

Mathematics
2 answers:
Ainat [17]3 years ago
7 0

Answer:

30x + 45

Step-by-step explanation:

Aneli [31]3 years ago
5 0

Answer:

30x+45°

Step-by-step explanation:

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Find a number greater than 25 that has more factors than the number 19, 21, 23 and 25
choli [55]
19 has 2 factors (1,19)
21 has 4 factors (1,3,7,21)
23 has 2 factors (1,23)
25 has 3 factors (1,5,25)
you need the nearest  number 25 that has 5 factors or more :28(1,2,4,7,14,28)
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TRUE OR FALSE!!! PICTURE IS SHOWN
schepotkina [342]
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distance = square root [(x2−x1)^2+(y2−y1)^2]

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A napkin is 37 centimeters long.How many millimeters is this?
Oxana [17]

Answer:

370 millimeters

Step-by-step explanation:

Have a nice day :)

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3 years ago
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A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat
AveGali [126]

Answer:

a) 68% probability that the sample mean will be within ±5 of the population mean.

b) 95% probability that the sample mean will be within ±10 of the population mean.

Step-by-step explanation:

To solve this problem, we have to understand the Empirical Rule and the Central Limit Theorem

Empirical Rule

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

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:

Mean: \mu = 200

Standard deviation of the population: \sigma = 50

Size of the sample: n = 100

Standard deviation for the sample mean: s = \frac{50}{\sqrt{100}} = 5

a.What is the probability that the sample mean will be within ±5 of the population mean?

5 is one standard deviation from the mean.

By the Empirical Rule, 68% probability that the sample mean will be within ±5 of the population mean.

b.What is the probability that the sample mean will be within ±10 of the population mean?

10 is two standard deviations from the mean

By the Empirical Rule, 95% probability that the sample mean will be within ±10 of the population mean.

4 0
3 years ago
Line m passes through point (2,-7) and (4,-9). Line m is parallel to which line?
Reil [10]

As the slope is -1, so any line that has the same slope is parallel.

<u>Solution:</u>

Given points (2, -7) and (4, -9) find the slope, m:

m = \frac{y - y_1}{x - x_1}

\Rightarrow m = \frac{-7 - (-9)}{2 - 4}

m = \frac{-7 + 9}{-2}

m = \frac{2}{-2}=-1

Any line that has the same slope is parallel.

5 0
3 years ago
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