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jonny [76]
3 years ago
15

2. A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 1

10 pounds and a standard deviation of 10.4 pounds. If a subject is randomly selected and measured, find the probability of a score between 110 and 128 pounds. (5
Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0

Answer:

Step-by-step explanation:

A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 110 pounds and a standard deviation of 10.4 pounds. If a subject is randomly selected and measured, find the probability of a score between 110 and 128 pounds. (5

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The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l
Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

4 0
3 years ago
Can Anyone help me out?
Andreas93 [3]
The answer is A.
It is a translation 4 units to the right, and such is A.
5 0
3 years ago
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2x^2-3x-9 please help
Romashka-Z-Leto [24]
Im assuming you mean 2x^2-3x-9=0 ?
If so, you have to factorise the equation
(2x-3) (x+3) = 0

2x - 3 = 0
2x = 3
x = 1.5

x + 3 = 0
x = -3

x is either 1.5 or -3

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3 years ago
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A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is a hourly wage of $25. Optio
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I love you euphorbia

4 0
2 years ago
Find all zeros of function and write the polynomial as a product of linear factorsX^3-x^2+9x-9
mart [117]

Answer:

\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}

Step-by-step explanation:

\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9

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3 years ago
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