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AURORKA [14]
3 years ago
15

In a right triangle the side c opposite the right angle is called the hypotenuse, and the other two sides a and b are

Mathematics
2 answers:
RSB [31]3 years ago
4 0

Answer:

The hypotenuse of the triangle measures 13 inches.

Step-by-step explanation:

Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:

5 ^ 2 + 12 ^ 2 = X ^ 2

25 + 144 = X ^ 2

√169 = X

13 = X

Therefore, the hypotenuse of the triangle measures 13 inches.

Drupady [299]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Edge 2021

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What is the remainder for the synthetic division problem below?
Tcecarenko [31]
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3 years ago
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The blood platelet counts of a group of women have a boll-shaped distribution with a mean of 261.1 and a standard deviation of 6
alexandr402 [8]

The variable is

X: blood platelet count of a woman

This variable has a bell shaped distribution (Normal)

With mean μ=261.1 and standard deviation σ=64.3

a.

The platelet count within 3 standard deviations of the mean can be calculated as

μ±3σ

You can symbolize it as

μ-3σ ≤ X ≤ μ+3σ

According to the empirical rule of the normal distribution you know that under any bell shaped distribution:

Between μ ± σ you'll find the 68% of the distribution

Between μ ± 2σ you'll find the 95% of the distribution

Between μ ± 3σ you'll find the 99% of the distribution

So following this rule you'll find 99% of the women with platelet count within 3 standard deviations of the mean.

b.

3% of the population is found between a vertain interval, the rest 97% is separated in equal tails around this interval.

Divide 0.97 by 2

0.97/2= 0.485

Each tail contains 0.485 of the distribtuion.

a and b represent the values within you'll find 3% of the population.

Until a you'll find 0.485 of the population and until b you'll find 0.485+0.03=0.515

To calculate both unknown values you have to use the standard normal distribution. This distribution is centered in zero, the left tail is negative and the right tail is positive.

a and b are at a equal distance from the mean but with different sign, so you only have to calculate on and then you invert the sign to get the other one.

I'll calculate the positive value:

Z= (X- μ )/σ~N(0,1)

P(Z≤ b)=0.515

Look in the body of the Z-table, rigth or positive entry and reach the margins for the value:

b= 0.038

Then using the values of the mean and the standard deviation you can calculate the corresponding valueof platelet count:

b= (X- μ )/σ

0.038= (X- 261.1 )/64.3

0.038*64.3=X-261.1

2.4434+261.1=X

X=263.5434=263.5

a=-b=-0.038

a= (X- μ )/σ

-0.038= (X- 261.1 )/64.3

-0.038*64.3=X-261.1

-2.4434+261.1=X

X=258.6566= 258.7

3% of the populations platelet count is between 258.7 and 263.5.

3 0
1 year ago
LaToya has $113.94 in her checking account. During the week she goes to an ATM and withdraws $40. She is charged a usage fee of
Scilla [17]
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LaToya has $168.49 in her checking account
8 0
3 years ago
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Is 18-35 an expression or an equation
allsm [11]

Answer:

It is an expression

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Write the standard form equation of the ellipse shown in the graph, and identify the foci.
vlada-n [284]

Answer option A

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Co vertices are (-6,-3) and (2,-3)

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The distance between center and covertices = 4 , so b= 4

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\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2}=1

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\frac{(x+2)^2}{4^2} + \frac{(y+3)^2}{6^2}=1

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Foci  are (h,k+c)  and (h,k-c)

c=\sqrt{a^2-b^2}

Plug in the a=6  and b=4

c=\sqrt{6^2-4^2}

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Option A is correct

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