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Viktor [21]
2 years ago
9

Help PLEASE!!!!!!!!!!!!!!!

Mathematics
1 answer:
melomori [17]2 years ago
6 0

Answer:

1) The graph does represent a function, because it passes the vertical line test.

Step-by-step explanation:

The vertical line test goes over the graph making sure there aren't 2 points together on the same line vertically. Because this passes the vertical line test, meaning there are no points repeating up and down, it is a function.

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Using the Pythagorean theorem, find the length of c if a = 14 * the square root of 3 and b = 34
ANEK [815]

If c is the hypotenuse, we have

c=\sqrt{a^2+b^2}=\sqrt{(14\sqrt{3})^2+34^2}=\sqrt{588+1156}=\sqrt{1744}

If instead b is the hypothenuse, you have

c=\sqrt{b^2-a^2}=\sqrt{1156-588}=\sqrt{568}

5 0
3 years ago
Data are drawn from a bell-shaped distribution with a mean of 25 and a standard deviation of 4. There are 1,000 observations in
Delicious77 [7]

Answer:

a. 97.72% of the observations are less than 33

b. Approximately 977 observations are less than 33.

Step-by-step explanation:

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.

Mean of 25 and a standard deviation of 4.

This means that \mu = 25, \sigma = 4

a. Approximately what percentage of the observations are less than 33?

The proportion is the p-value of Z when X = 33. So

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

Z = \frac{33 - 25}{4}

Z = 2

Z = 2 has a p-value of 0.9772

0.9772*100% = 97.72%

97.72% of the observations are less than 33.

b. Approximately how many observations are less than 33?

Out of 1000:

0.9772*1000 = 977.2

Approximately 977 observations are less than 33.

6 0
2 years ago
Quick help 1/2x+3<2x-6
Ad libitum [116K]

Answer:

x>6

*math work*

5 0
3 years ago
What s the factor of (x+3)(x+2)
Virty [35]
<span>Simplifying (x + 3)(x + 2)
 
Reorder the terms: (3 + x)(x + 2)
 
Reorder the terms: (3 + x)(2 + x)
 
Multiply (3 + x) * (2 + x) (3(2 + x) + x(2 + x)) ((2 * 3 + x * 3) + x(2 + x)) ((6 + 3x) + x(2 + x)) (6 + 3x + (2 * x + x * x)) (6 + 3x + (2x + x2))
 
Combine like terms: 3x + 2x = 5x (6 + 5x + x2)
 
Factor a trinomial. (3 + x)(2 + x)

Final result:
(3 + x)(2 + x)</span>
8 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLEST!! We roll a fair 6-sided die 5 times. What is the probability that we get an odd number in exactly 4 of the
frutty [35]
The answer is 6.25% because you take 50 to the fourth
3 0
3 years ago
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