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3 years ago

Evaluate

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

Answer:

$\frac{5}{16}$

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NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2 : Supp

Andru [333]

Answer:

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.

Step-by-step explanation:

Estimate of the proportion of people who pass out at more than 6 Gs.

Number of people who passed out divided by the size of the sample.

We have that:

Sample of 502 people, 140 passed out at G forces greater than 6. So the estimate is:

$p = \frac{140}{502} = 0.279$

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.

8 0

3 years ago

How do you find the legs of a right triangle when only given the hypotenuse?

tangare [24]

Answer:

We know that a^2+b^2=c^2. The 45° angle lets us know that y=x (45+45+90=180), so the problem is y^2+x^2=4sqrt of 2

$4 \sqrt{2} = \sqrt{32 } \\ \sqrt{32} ^{2} = 32$

So you get y^2+x^2=32, and from there, since we know x and y are equal, you can just divide 32 by 2 then take the square root of that, so the answer should be 4 for both x and y

Step-by-step explanation:

let me know if I'm wrong lol

6 0

2 years ago

In triangle abc angle a +angle b =90 then sin a =

Ivan

Answer:

$sin(a)=cos(b)$

Step-by-step explanation:

we know that

In the triangle abc

if $m\angle a+m\angle b=90^o$

then

$m\angle c=90^o$

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangle abc is a right triangle

see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

$sin(a)=\frac{x}{z}$

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

$cos(b)=\frac{x}{z}$

therefore

$sin(a)=cos(b)$

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

$sin(a)=cos(b)$

$cos(a)=sin(b)$