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Pavlova-9 [17]
3 years ago
11

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 85 inches, and a standard d

eviation of 14 inches. What is the likelihood that the mean annual precipitation during 49 randomly picked years will be less than 87.8 inches?
Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

Probability of choosing number = 0.9192

Step-by-step explanation:

Given:

New mean = 87.8

Mean = 85

Standard deviation = 14

Number picked = 49

Find:

Probability of choosing number

Computation:

Probability of choosing number = [New mean - Mean] / [Standard deviation / √Number picked]

Probability of choosing number <= [(87.8-85)]/[(14/7)]

Probability of choosing number = 0.9192

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ALGEBRA QUESTION PLS HELPS
cluponka [151]

The value of x is –7.

Solution:

Given expression:

$\left(\frac{1}{x+3}+\frac{6}{x^{2}+4 x+3}\right) \cdot \frac{x+3}{x+1}

Let us factor x^2+4x+3.

x^2+4x+3=(x+1)(x+3)

Substitute this in the fraction.

$\left(\frac{1}{x+3}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

To make the denominator same, multiply and divide the first term by (x +1).

$\left(\frac{(x+1)}{(x+1)(x+3)}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

Denominators are same, you can add the fractions.

$\left(\frac{x+1+6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

$\frac{x+7}{(x+1)(x+3)} \cdot \frac{x+3}{x+1}

Cancel the common term in the numerator and denominator.

$\frac{x+7}{x+1} \cdot \frac{1}{x+1}

Multiply the fractions.

$\frac{x+7}{(x+1)^2}

$\frac{x+7}{x^2+2x+1}

The expression is simplified to one rational expression.

Suppose the expression is equal to 0.

$\frac{x+7}{x^2+2x+1}=0

Do cross multiplication.

${x+7}=0\times (}{x^2+2x+1})

Any number or variable multiplied by 0 gives 0.

${x+7}=0

Subtract 7 from both sides of the equation.

${x+7-7}=0-7

x = –7

The value of x is –7.

7 0
3 years ago
A volleyball reaches its maximum of 13 feet, 3 seconds after it is served. What quadratic formula could model the height of the
Katena32 [7]

Answer:

H=-(t-3)^2+13

Step-by-step explanation:

The path covered by the volleyball will be a downward parabola with the vertex being the highest point of the ball.

A general form of a downward parabola is given as:

y=-a(x-h)^2+k

Where (h,k) is the vertex of the parabola and 'a' is a constant.

Now, let 'h' be the vertical height and 't' be the time taken.

So, the equation would be of the form:

H=-a(t-h)^2+k

Now, as per question:

h = 2 seconds, k = 13 feet.

H=-a(t-3)^2+13

Now, taking a = 1. So, the formula that can be used is:

H=-(t-3)^2+13

7 0
3 years ago
There are 60 calories in 1/8 cup of Honey. How many calories are in 3/4 cup of honey?
ankoles [38]
360 Calories in 3/4 cup of honey.
3 0
3 years ago
Read 2 more answers
Need help for points
Harrizon [31]
The answer


1 /3 radius^2 x height 3
Pi/3 *r^2 x 9 3 = 3 pi ^2



r=1, volume = 3 pi
r=2, volume = 12 pi
r=3, volume = 27pi

8 0
2 years ago
Ramesh says that based on the pattern 7^-5 =-16,807 which statement explains were her Ramesh is correct?
fiasKO [112]

Ramesh is not correct because as the exponents decrease, the previous value is divided by 7 .

<u>Explanation:</u>

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

Exponents are superscript numerals that let you know how many times you should multiply a number by itself. Some real world applications include understanding scientific scales like the pH scale or the Richter scale, using scientific notation to write very large or very small numbers and taking measurements.

6 0
4 years ago
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