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3 years ago

7

What is 33

"absmiddle" class="latex-formula">% as a decimal?

1 answer:

aleksklad [387]3 years ago

8 0

Answer:

33.3 Repeating

Step-by-step explanation:

1. You already know that 33 is the whole number so you have 33.

2. 1/3 is converted to .3333333 so you put 33 before the decimal point

3. You get 33.3333333

Hope this helps :)

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Solve the literal equation for x. Y= 5x-4x

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Answer:

y=triangle

Step-by-step explanation:

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3 years ago

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The XO Group Inc. conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of

slavikrds [6]

Answer:

a) 0.0392

b) 0.4688

c) At least $39,070 to be among the 5% most expensive.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 29858, \sigma = 5600$

a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)?

This is the pvalue of Z when X = 20000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20000 - 29858}{5600}$

$Z = -1.76$

$Z = -1.76$ has a pvalue of 0.0392.

So this probability is 0.0392.

b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)?

This is the pvalue of Z when X = 30000 subtracted by the pvalue of Z when X = 20000.

X = 30000

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{30000 - 29858}{5600}$

$Z = 0.02$

$Z = 0.02$ has a pvalue of 0.5080.

X = 20000

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20000 - 29858}{5600}$

$Z = -1.76$

$Z = -1.76$ has a pvalue of 0.0392.

So this probability is 0.5080 - 0.0392 = 0.4688

c. For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)?

This is the value of X when Z has a pvalue of 0.95. So this is X when Z = 1.645.

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 29858}{5600}$

$X - 29858 = 5600*1.645$

$X = 39070$

The wedding would have to cost at least $39,070 to be among the 5% most expensive.

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3 years ago

What is the exact volume of the cylinder? Enter your answer in terms of pi

dimaraw [331]

$3.14 \times {1.5}^{2} \times 2.5$
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4 years ago

I need help!!!! Please lol

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What are the zeros of the polynomial function? f(x)=x3+2x2−x−2 Select each correct answer. A.−3 B. −2 C. −1D. 0 E. 1F. 2 G. 3

LenaWriter [7]

Answer:

B. −2

C. −1

E. 1

Step-by-step explanation:

He have been given a polynomial function $f(x)=x^3+2x^2-x-2$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our function with zero and solve for x as:

$x^3+2x^2-x-2=0$

Now, we will factor our equation by grouping method.

$(x^3+2x^2)-(x+2)=0$

$x^2(x+2)-1(x+2)=0$

$(x+2)(x^2-1)=0$

Now, we will use difference of squares $a^b-b^2=(a+b)(a-b)$

$(x+2)(x^2-1^2)=0$

$(x+2)(x+1)(x-1)=0$

Using zero product property, we will get:

$(x+2)=0\text{ or }(x+1)=0\text{ or }(x-1)=0$

$x=-2\text{ or }x=-1\text{ or }x=1$

Since the zeros of our given function are $-2,-1\text{ and }1$ , therefore, options B, C and E are correct choices.

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3 years ago