How do you solve 1/18 - 1/30 using prime factorization

Which of the following best describes how to use of the addition property of equality to isolate the variable x below?. . 5 = x

sergiy2304 [10]

<span>The best answer is C.add 2 to both sides of the equation.
</span>5=x-2
5+2=x-2+2
7=x-0
x=7

5 0

2 years ago

On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to

NemiM [27]

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B125%20%7D%20-%20%5Csqrt%7B180%7D%20%2B%20%5Csqrt%7B45%7D%20" id="TexFormula1" tit

Kobotan [32]

Answer:

2 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying the radicals

$\sqrt{125}$ = $\sqrt{25(5)}$ = $\sqrt{25}$ × $\sqrt{5}$ = 5 $\sqrt{5}$

$\sqrt{180}$ = $\sqrt{36(5)}$ = $\sqrt{36}$ × $\sqrt{5}$ = 6 $\sqrt{5}$

$\sqrt{45}$ = $\sqrt{9(5)}$ = $\sqrt{9}$ × $\sqrt{5}$ = 3 $\sqrt{5}$

Thus

$\sqrt{125}$ - $\sqrt{180}$ + $\sqrt{45}$

= 5 $\sqrt{5}$ - 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 2 $\sqrt{5}$

3 0

3 years ago

Pls help asap!(this question is worth 20 points!)picture down below says question

diamong [38]

Answer:

138

Step-by-step explanation:

c=5

d=4

6c^2-5d+8

substitute c & d

6(5)^2-5(4)+8

6(25)-20+8

150-20+8 = 138

3 0

2 years ago

Evaluate: 36^(-3/2)

Sveta_85 [38]

Evaluating 36^(-3/2) utilizes the laws of exponents. Raising a number by a negative exponent is raising the reciprocal of the number by the exponent: 36^(-3/2) = (1/36)^(3/2).

We could separate 3/2 into 3/2 = 1/2 * 3, and further simplify the expression

= ((1/36)^(1/2))^3= (1/6)^3= 1/216

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

4 0

3 years ago