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qwelly [4]
3 years ago
10

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 78 inches, and a standard d

eviation of 16 inches. what is the probability that the mean annual precipitation during 64 randomly picked years will be less than 80.8 inches?
Mathematics
1 answer:
quester [9]3 years ago
7 0

The sample mean is μ=78, and sample standard deviation is σₓ=σ/\sqrt{n}=16/\sqrt{64}=2.

The Z-score is Z=\frac{80.8-78}{2} =1.4.

The required probability

P(X

Refer to standard normal distribution table.

P(Z

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Can an absolute value function have an inverse function? If so, give an
Musya8 [376]

Answer:

Let f be a function. If any horizontal line intersects the graph of f more than once, then f does not have an inverse. An absolute value function (without domain restriction) has an inverse that is NOT a function. That's why an absolute value function does not have an inverse function。

3 0
2 years ago
Determine a polynomial that represents the area of the parallelogram.<br> A=
sp2606 [1]

Answer:

4b² - 16

Step-by-step explanation:

The formula to find the area of a parallelogram equals bh, where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.

  • (2b+4)*(2b-4)=(2b+4)(2b-4)
  • (2b+4)(2b-4)=(2b)(2b)+(2b)(-4)+(4)(2b)+(4)(-4)
  • 4b^2-8b+8b-16
  • 4b^2-16

Therefore, the answer is 4b² - 16.

6 0
2 years ago
What’s The values of 30%of81
krek1111 [17]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 81}}{\left(\cfrac{30}{100} \right)81}\implies 24.3

7 0
3 years ago
The Hudson family is saving for a
Lera25 [3.4K]

The amount of money that Hudson will need to save each week is $106.25.

<h3>How to calculate the value?</h3>

From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.

Let the amount saved each week be represented as w.

Based on the information given, this will be illustrated as:

1500 + 16w = 3200

Collect like terms

16w = 3200 - 1500

16w = 1700

Divide

w = 1700 / 16

w = 106.25

The amount is $106.25.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

4 0
1 year ago
Find the Peronist of the figure below, composed of an isoceles trapezoid and one semicircle, round to the nearest tenth place
Mamont248 [21]

Given:

Diameter of circle is 10

Find : Perimeter

Sol:.

Perimeter of semi circle

\begin{gathered} =\pi r \\ =\pi(\frac{10}{2}) \\ =5\pi \\ =15.707 \end{gathered}

Perimeter of shape is:

\begin{gathered} =14+12+12+15.707 \\ =53.707 \end{gathered}

7 0
1 year ago
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