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3 years ago

WILL MAKE BRAINLIST please help I'm stuck on this one problem.

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

Answer:

h ≤ 11

Step-by-step explanation:

h - 16 ≤ -5

h ≤ 11

Interval notation:

h: (−∞,11]

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If (a+b) = 4 and ab = 3, find the value of a³+b³.

Stolb23 [73]

Answer:

Step-by-step explanation:

a³+b³= (a+b)³ - 3ab(a+b)

= 4³ -3×3×4 = 64-36 = 28

8 0

3 years ago

No links please! Which expression has the same value as <br> Look below

arsen [322]

Answer:

-5 1/3 - 3 1/3

Step-by-step explanation

both expressions equal -8 2/3

6 0

3 years ago

Nolan invested $8,100 in an account paying an interest rate of 8 3/4% compounded quarterly. Carter invested $8,100 in an account

statuscvo [17]

Answer:

I believe Nolan would have more money after 5 years, by $165

Step-by-step explanation:

Nolan:

A = 8100(1 + (.0875/4))^20

A = 12,486

Carter:

A = 8100 (1 + .0875)^5

A = 12,321

5 0

3 years ago

Read 2 more answers

What integer is equal to 9 3/2

Ad libitum [116K]

The correct answer is: 27 . 9^(3/2) = (√9)³ = 3³ = 3 * 3 * 3 = 27 .

7 0

3 years ago

Read 2 more answers

1) Lithium isotope rations are important to medicine, the 6Li/7Li ratio in a standard reference material was measured several ti

uysha [10]

Answer:

1) $0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

b) $ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=0.0826052$ represent the sample mean

$\mu$ population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size

Part 1

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=5-1=4$

The Confidence level is 0.95 or 95%, and the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value would be using the t distribution with 4 degrees of freedom: $t_{\alpha/2}=2.776$

Now we have everything in order to replace into formula (1):

$0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

Part 2

The original margin of error is given by:

$ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

3 0

3 years ago