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11111nata11111 [884]

3 years ago

10

50 people are selected randomly from a certain population and it is found that 12 people in the sample are over 6 feet tall. Wha

t proportion of people in the population is not over 6 ft tall?

1 answer:

Ket [755]3 years ago

8 0

12 out of 50 are over 6 feet (12/50)
Therefore 38 are under 6 feet (38/50)

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a store is having a sale on chocolate chips and walnuts. for 9 pounds of chocolate chips and 7 pounds of walnuts, the total cost

Ratling [72]

Answer:

The cost for each pound of chocolate chips is $2.75 and the cost for each pound of walnuts is $3.75.

Step-by-step explanation:

9x+7y=51

3x+5y=27

----------------

9x+7y=51

-3(3x+5y)=-3(27)

-------------------------

9x+7y=51

-9x-15y=-81

-------------------

-8y=-30

8y=30

y=30/8

simplify,

y=15/4

9x+7(15/4)=51

9x+105/4=51

9x=51-105/4

9x=(204-105)/4

9x=99/4

x=(99/4)/9

x=(99/4)(1/9)=99/36

simplify

x=2.75

So the cost for each pound of chocolate chips is $2.75 and the cost for each pound of walnuts is $3.75.

7 0

2 years ago

Three values on a number line are labeled F, G, and H . Which number line correctly shows the values of F, G, and H?

oksian1 [2.3K]

Answer:

C

Step-by-step explanation:

F must be on -4

H must be on 4 (because it is -f=-(-4)=-1•-4=4)

6 0

2 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

2 years ago

Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x

posledela

X² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60

x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45

<u>(x² + x - 12)(12x² - 48x - 60)</u>
(x² - x - 20)(3x² - 24x + 45)

<span><u>12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720</u>
</span>3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900
<span>
<u>12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720</u></span>
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900

<u>12x^4 - 36x³ - 252x² + 516x + 720</u>
3x^4 - 27x³ + 9x² + 435x - 900

<u>12(x^4 - 3x³ - 21x² + 43x + 60) </u>
3(x^4 - 9x³ + 3x² + 145x + 300)

<u>4(</u><span><u>x^4 - 3x³ - 21x² + 43x + 60) </u>
</span><span> (x^4 - 9x³ + 3x² + 145x + 300)</span>

4 0

3 years ago

Juan rents a car for $29.00 a week. He pays $17.00 per week for the insurance and spends $13.50 weekly on gas. What will his cos

Goryan [66]

$29+$17+$13 = $59 weekly spending
So 1 month gonna be $59 times 4 = $236 per month

5 0

2 years ago

Read 2 more answers