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Naddika [18.5K]
3 years ago
7

Slope of the line described by the equation y=6x+5

Mathematics
2 answers:
Galina-37 [17]3 years ago
7 0

Answer:

slope --> m=6

Step-by-step explanation:

abruzzese [7]3 years ago
3 0
Slope m=6 your welcome and download Symbolab it will really help you
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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 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 = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

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

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
What is the length of segment AB?
AlekseyPX

Answer:

length of segment AB is 13

OR

AB = 13

Step-by-step explanation:

Use the Pythagorean Theorem with c being the length of segment AB.

a^2 + b^2 = c^2

5^2 + 12^2 = c^2

169 = c ^2 (square root both sides to get c by itself)

13 = c

5 0
3 years ago
PLEASE HELP ASAP!!!
ZanzabumX [31]

Answer:

should be 2 excluding the start (origin)

Step-by-step explanation:

3 0
3 years ago
Olivia is thinking of a number. She says “my number is odd is is a factor of 30 and a multiple of 3” there are two possible numb
vovikov84 [41]

Answer:

3 and 15

Step-by-step explanation:

Let's list the factors of 30:

1, 2, 3, 5, 10, 15, 30

Of these, the odd ones are:

1, 3, 5, 15

Of these, the only numbers that are multiples of 3 are 3 and 15.

6 0
3 years ago
Read 2 more answers
Find the area of the figure. Use 3.14 for A. N 8 m 12 m<br>​
dsp73

Answer: <u>105m²</u>

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = \frac{bh}{2\\}

so, A = \frac{6(8)}{2} (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

8 0
3 years ago
Read 2 more answers
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