A parallelogram has an area of 316.35 square inches and a base of 18.5 inches. What is the height

Which is equivalent to 64 to the 1/4 power

Sladkaya [172]

Answer:

The answer to your question is the first option

Step-by-step explanation:

64 $^{1/4}$

Process

1.- Find the prime factors of 64

64 2

32 2

16 2

8 2

4 2

2 2

1

64 = 2⁶

2.- Express 64 as a fractional exponent

64 $^{1/4} = 2^{6/4}$

3.- Simplify

64 $^{1/4} = 2^{4/4} 2^{2/4}$

64 $^{1/4} = 2^{1} 2^{2/4}$

64 $^{1/4} = 2\sqrt[4]{2^{2}}$

4.- Result

64 $^{1/4} = 2\sqrt[4]{4}$

5 0

3 years ago

1. Suma a trei numere este 176. Al doilea numar este cu 28 mai mare decat al treilea, iar primul este egal cu diferenta acesteia

baherus [9]

Răspunsul corect va fi numărul 4. Supãrat dacã meu vorbind nu este cel mai bun, vorbesc limba engleza. Dacă ai nevoie de numere consecutive, sunt 99, 102 şi 103.

7 0

3 years ago

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i

Salsk061 [2.6K]

Answer:

$(-\infty, 0.2661)$

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

n=60 represent the sample size

X=12 represent the number of masks that had lenses pop out at 250°

$\hat p =\frac{12}{60}=0.2$ represent the estimated proportion of masks that had lenses pop out at 250°

p represent the population proportion of masks that had lenses pop out at 250°

Confidence =0.9 or 90%

$\alpha=0.1$ represent the significance level

Confidence interval

On this case we want a interval on this form : $(-\infty,\hat p +z_{\alpha}\sqrt{\frac{\hat p (1-\hat p)}{n}})$

So the critical value would be on this case $z_{\alpha}=1.28$ and we can use the following excel code to find it: "=NORM.INV(1-0.1,0,1)"

We found the lower limit like this:

$0.2 +1.28\sqrt{\frac{0.2 (1-0.2)}{60}}=0.2661$

And the interval would be: $(-\infyt, 0.2661)$

3 0

3 years ago

In the 2000 Sydney Olympics, a special program initiated by IOC president Juan Antonio Samaranch allowed developing countries to

jok3333 [9.3K]

Answer:

The means for times for the first round of the 100 meter men’s swim is 52.64789 seconds

The satandar deviation for times for the first round of the 100 meter men’s swim is 7.60182 seconds

Step-by-step explanation:

The sample mean for a set of n data is given by:

$\bar X = \frac{1}{n}\sum{x_i}$

In other words, the sample mean of the times for 71 times of the first round measured in seconds is:

$\bar X = \frac{1}{71}\sum{x_i} = 52.64789$ seconds

The sample standard deviation for a set of n data is given by:

$S = \sqrt{\frac{1}{n-1}\sum{(x_i - \bar x)^2}}$

In other words, the sample standard deviation of the times for 71 times of the first round measured in seconds is:

$S = \sqrt{\frac{1}{n-1}\sum{(x_i - \bar x)^2}} = 7.60182$ seconds

8 0

3 years ago

What is the answer to this question

Sonja [21]

First we need to understand that the sum of adjacent angles on a straight line is 180°,meaning that when all the angles are added up the answer would be 180°

Here's how we can set up the equation:

2x+100°=180°
2x=80°
x=40°

Thus the answer is 40°

Again,hope it helps!

6 0

3 years ago