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3 years ago

Pls help I can't figure out this problem:(

Mathematics

2 answers:

tia_tia [17]3 years ago

5 0

The correct answer would be C. AG and EC are parallel

tekilochka [14]3 years ago

4 0

Ag and ec are parallel

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Which expression is equivalent to (256x^16)^1/4<br> A.4x^2<br> B.4x^4<br> C. 64x^2<br> D. 64x^4

antiseptic1488 [7]

Given expression: $(256x^{16})^{1/4}$ .

$\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n$

$=256^{\frac{1}{4}}\left(x^{16}\right)^{\frac{1}{4}}$

$256=4^4$

$256^{\frac{1}{4}}=\left(4^4\right)^{\frac{1}{4}}=4$

$\left(x^{16}\right)^{\frac{1}{4}}=x^{16\cdot \frac{1}{4}}=x^4$

$(256x^{16})^{1/4} =4x^4$

<h3>Therefore, correct option is B option : B.4x^4</h3>

6 0

4 years ago

Read 2 more answers

How to solve and answer for 4 1/3 - 2 1/5 ?

gregori [183]

Answer : 2 2/15

To begin you need to convert the fractions into something they both can go into. Sometimes it is easier to multiple the two denominator of the fractions, which in this case it is.
So, 3 times 5 is 15
This means your going to convert your fraction into 15th

1/3 is 5/15
This is because you need to times the bottom by 5 in order to get 15, so you need to do the same with the top.

1/5 is 3/15
This is because you need to times the bottom by 3 to get 15 so you do the same with the top

Next you just subtract the amounts separately
4-2 = 2
5/15 - 3/15 = 2/15

This means your answer is 2 2/15

6 0

2 years ago

Read 2 more answers

Find the area of the shape shown<br> below.

goblinko [34]

Answer:

15.75+2+4+5= 26.75 units squared

6 0

3 years ago

A bank is trying to determine which model of safe to install. The bank manager believes that each model is equally resistant to

alexandr402 [8]

Answer:

So on this case the 95% confidence interval would be given by (-1.152;5.152).

$-1.152 < \mu_{safe1}-\mu_{safe2}$

Should we conclude that the average time it takes experts to crack the safes does not differ by model at the 5% significance level?

A) Yes, the 95% confidence interval for ?D contains 0.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution

Let put some notation

x=value for Safe 1 , y = value for Safe 2

x: 103, 90, 64, 120, 104, 92, 145, 106, 76

y: 101, 94, 58, 112, 103, 90, 140, 110, 74

The first step is calculate the difference $d_i=x_i-y_i$ and we obtain this:

d: 2, -4, 6, 8, 1, 2, 5, -4, 2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{18}{9}=2$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =4.093$

The next step is calculate the degrees of freedom given by:

$df=n-1=9-1=8$

Now we need to calculate the critical value on the t distribution with 8 degrees of freedom. The value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , so we need a quantile that accumulates on each tail of the t distribution 0.025 of the area.