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3 years ago

There were 400 pieces of candy in all. If 60 pieces were chocolate, then what percent of the candy was chocolate.

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

5 0

400 --- 100%
60 --- x%

x = 60/400 * 100 = 15% chocolate.

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AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

3 years ago

Find the solution to the system of equations.

Feliz [49]

Solution to the system of equation (-2,5)

8 0

3 years ago

Question~

Rasek [7]

Answer:

B. 1

Step-by-step explanation:

Multiply the first term by $x^a$ , the second term by $x^b$ , the third term by $x^c$ .

The first term becomes:

$x^a/(x^a+x^b+x^c)$

The second term becomes:

$x^b/(x^a+x^b+x^c)$

The third term becomes:

$x^c/(x^a+x^b+x^c)$

Their sum is:

$(x^a+x^b+x^c)/(x^a+x^b+x^c) = 1$

Correct choice is B

3 0

2 years ago

A bus travels 32 kilometers in 30 minutes. How far will the bus travel in 4 hours at that speed? 64 km 4.27 km 128 km 256 km

solong [7]

256 km should be the answer

3 0

3 years ago

Read 2 more answers

Find the domain of the function (f/g)(x) given f (x)=x^2-4x-5 and g(x)=x^2-25

stealth61 [152]

Answer:

all real numbers except ±5.

Step-by-step explanation:

Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.

The domain of (f/g)(x) is all real numbers except ±5.

___

Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:

add 25 and take the square root: x^2=25; x=±√25.
factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.

5 0

3 years ago