*cries* i need help :(

The school band has a goal of raising $800 for some new uniforms. If they have raised $512 so far, what percent of their goal ha

just olya [345]

Answer: 64%

Step-by-step explanation:

The band needs $800 for new uniforms and of that, they only raised $512.

Set up a proportion $\frac{part}{total} = \frac{percentage}{100}$ and plug everything you know in.

$\frac{512}{800}$ = $\frac{x}{100}$

Solve for x by cross multiplying and dividing.

512 × 100 = 51200

51200 ÷ 800 = 64

x = 64

The school band has raised 64% of their goal already.

5 0

3 years ago

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A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 group the grou

kotykmax [81]

Answer:

(a) The probability that his height is less than 66 inches is 0.2743.

(b) The probability that the height is between 66 and 71 inches is 0.4679.

(c) The probability that the height is more than 71 inches is 0.2578.

Step-by-step explanation:

The data given in the question is:

Mean (μ) = 68.4

Standard Deviation (σ) = 4

Let X denote the height of men. We will use the normal distribution z-score formula to calculate the z-score and then look up the probability in the normal probability distribution table. The z-score formula is:

z = (X - μ)/σ

(a) For P(X<66), first calculate the z value.

z = (66-68.4)/4

z = -0.6 (Look up this value in the standard normal distribution table)

P(z<-0.6) = 0.2743

The probability that his height is less than 66 inches is 0.2743.

(b) P(66<X<71) = P(X<71) - P(X<66)

We need to find P(X<71) so, calculating the z-value:

z = (71-68.4)/4

z = 0.65

P(z<0.65) = 0.7422

P(66<X<71) = 0.7422 - 0.2743

P(66<X<71) = 0.4679

The probability that the height is between 66 and 71 inches is 0.4679.

(c) To find the probability P(X>71), we need to find P(X<71) and then subtract it from 1 because the normal distribution table gives values for P(X<k). We have already calculated the value of P(X<71) in part (b) so,

P(X>71) = 1 - P(X<71)

= 1 - 0.7422

P(X>71) = 0.2578

The probability that the height is more than 71 inches is 0.2578.

3 0

3 years ago

Find the value of x<br> −8(x−6)=32

RUDIKE [14]

Answer:

x = 2

Step-by-step explanation:

-8(x-6) = 32 (distribute)

-8x+48 = 32 (subtract 48 from both sides)

-8x = -16 (divide)

x = 2

4 0

3 years ago

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On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum valu

vova2212 [387]

Answer:

D Over the interval [4, 7], the local minimum is -7.

Step-by-step explanation:

3 0

3 years ago

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Martha has a deck of cards. She has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight c

Zielflug [23.3K]

Answer:

D. Randomly draw and replace a card 100 times. Then, observe how close to 20 times a club is drawn.

Step-by-step explanation:

We are given that,

Martha predicts that 'whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time'.

Now, according to the options, we see that,

If she randomly draw and replace a card 100 times and then observe how close to 20 times a club is drawn.

Her prediction is most likely to be true.

As, 20 out of 100 times is $\frac{1}{5}$ th of the total time.

Hence, option D is correct.

5 0

3 years ago