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3 years ago

11

Suppose that an Individual has a body fat percentage of 18.8% and weighs 127 pounds. How many pounds of her weight is made up of

fat? Round your answer
to the nearest tenth.
pounds

1 answer:

Phoenix [80]3 years ago

8 0

Answer:

14.8 pounds

Step-by-step explanation:

Here, we want to get the actual value made of fat from the body weight

What we have to do here is to multiply the percentage by the body weight

Mathematically, we have this as;

18.8% of 127 pounds

= 18.8/100 * 127 = 14.80 pounds

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The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation o

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Answer:

required probability is 0.8413

Step-by-step explanation: Given mean $\mu =15$ minutes, standard deviation $\sigma =4$ seconds, we need to find $P\left ( X\leq 19 \right )$ . Using z score

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So,

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3 years ago

14. Compare the graph below to the function

Dahasolnce [82]

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = $\sqrt{x}$

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If the translated function is stretched vertically by a scale factor = k

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Since a point (1, 4) passes lies on the transformed function.

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3 years ago

A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

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3 years ago

The floor of Cara's living room is 10 feet by 14 feet. What is the area, in square feet, of the largest circular rug that can fi

Rus_ich [418]

Answer:

$78.5\ ft^{2}$

Step-by-step explanation:

we know that

If the floor of Cara's living room is 10 feet by 14 feet

then

the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet

<em>Find the area of the circular rug</em>

The area of the circle is equal to

$A=\pi r^{2}$

we have

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$\pi=3.14$

substitute the values

$A=(3.14)(5)^{2}=78.5\ ft^{2}$

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3 years ago