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3 years ago

8. Write the definition of an equiangular polygon as a biconditional statement.

Mathematics

1 answer:

dusya [7]3 years ago

4 0

Answer: A polygon is equiangular if and only if. angles are congruent.

Step-by-step explanation: brainlest please

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The heights of twelve month old boys are normally distributed with a mean of 29.8 inches and a standard deviation of 1.2 inches.

Triss [41]

Answer:

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 29.8, \sigma = 1.2$

About twenty-one percent of twelve month old boys are shorter than what height?

This is the value of X when Z has a pvalue of 0.21. So it is X when Z = -0.805.

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

$-0.805 = \frac{X - 29.8}{1.2}$

$X - 29.8 = -0.805*1.2$

$X = 28.8$

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

4 0

4 years ago

Simplify (79) O A. 353 O B. 78 O c. 715 OD. () SUBMIT

SOVA2 [1]

Answer:
C. You have to multiply both powers to simplify.

8 0

3 years ago

17. Oranges cost 25 cents for 1/2 kilogram. How much would 8 kilograms of ornages cost? Show all of your work. Make sure to incl

Debora [2.8K]

9514 1404 393

Answer:

$4.00

Step-by-step explanation:

We assume the price is proportional to the quantity of oranges. If p is the desired price in dollars, we want ...

p/8 = 0.25/(1/2)

p = 8(0.50) = 4.00 . . . . multiply by 8, simplify

8 kg of oranges would cost $4.00.

5 0

3 years ago

What is the following qoutient? 3√8/4√6

kogti [31]

Answer:

3 sqrt(3)

----------- or -----------

2 sqrt(3) 2

Step-by-step explanation:

3 sqrt(8)

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

4 sqrt(6)

3 sqrt(4*2)

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

4 sqrt(3*2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

3 sqrt(4) sqrt(2)

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

4 sqrt(3) sqrt(2)

Canceling the sqrt(2) and sqrt(4) is 2

3*2

----------

4 sqrt(3)

-----------

2 sqrt(3)

We can simplify the answer be multiplying by sqrt(3)/sqrt(3)

3 sqrt(3)

----------- * ----------

2 sqrt(3) sqrt(3)

3 sqrt(3)

-----------

2 *3

sqrt(3)

-----------

3 0

3 years ago

How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?

s344n2d4d5 [400]

Answer:

The investment required is: $5687

Step-by-step explanation:

Future Amount A= $7000

Rate r = 6% =0.06

Time t = 4

Compounded Weekly = n= 52

We need to find Principal Amount P

The formula used is: $A=P(1+\frac{r}{n})^{n*t}$

Putting values and finding P

$A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687$

So, The investment required is: $5687

3 0

3 years ago