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3 years ago

Help with this question please number 8

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

The measure of BDA is 40 degrees

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Kim is drawing a map of the different schools in her school district. She knows that her middle school is 10.6 miles away from t

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3 years ago

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A cereal bar contains 2,000 milligrams of protein. How much protein does it contain in grams?

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So:

2000 milligrams * 1 gram/1000 milligrams = 2 grams.

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A school custodian discovered a leak in a water pipe. The custodian found that 1920 fluid ounces of water leaked out. How many g

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The average diameter of sand dollars on a certain island is 4.00 centimeters with a standard deviation of 0.60 centimeters. If 1

blagie [28]

Answer:

0.8413 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.00 centimeters

Standard Deviation, σ = 0.60 centimeters

Sample size, n = 16

We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.60}{\sqrt{16}} = 0.15$

P(diameter of sample is more than 3.85 centimeter)

P(x > 3.85)

$P( x > 3.85) = P( z > \displaystyle\frac{3.85 - 4}{0.15}) = P(z > -1)$

$= 1 - P(z \leq -1)$

Calculation the value from standard normal z table, we have,

$P(x > 3.85) = 1 -0.1587 = 0.8413$

0.8413 is the probability that the the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.

4 0

3 years ago

Please show me how you find x and determine what x is <br> Thank you I appreciate it :)

AfilCa [17]

well, let's notice something, we have two 45° angles, now each of those will give use an equal opposite side, namely if that one side is "x", the other is her twin, "x" as well.

is a right-triangle, so we can use the pythagorean theorem, and we know the sides are x,x,6.

$\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies 6^2=x^2+x^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{6}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases} \\\\\\ 36=2x^2\implies \cfrac{36}{2}=x^2\implies 18=x^2\implies \sqrt{18}=x\implies \sqrt{9\cdot 2}=x \\\\\\ \sqrt{3^2\cdot 2}=x\implies \boxed{3\sqrt{2}=x}$

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3 years ago