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3 years ago

How to expand and simplify +3(g-2)

Mathematics

1 answer:

Tasya [4]3 years ago

4 0

Answer:

3g-6

Step-by-step explanation:

You multiply the insides, each by positive 3 so like this:

3*g - 3*2

= 3g-6

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Find the critical value needed to construct a 95% CI of a population mean with an unknown standard deviation and a sample size o

kaheart [24]

Answer:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

Step-by-step explanation:

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".

In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . We need to calculate the degrees of freedom are given by:

$df=n-1=39-1=38$

We can find the critical value using the following excel codes:

"=T.INV(0.025;38)" or "T.INV(1-0.025;38)"

And the critical values would be given by:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

7 0

3 years ago

I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd

Alex

Answer: $5,828.28

Step-by-step explanation:

Use the Compound Interest formula: $A=P(1+\frac{r}{n})^{nt}$ where

A is the accrued amount (balance)
P is the principal (initial amount invested)
r is the interest rate (in decimal form)
n is the number of times compounded each year
t is the time of the investment (in years)

Given: P = 4,900

r = 3.5% (0.035)

n = 2

t = 5

$A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\$

5 0

4 years ago

Solve for p. 2(p + 1) = 24 11 11.5 12.5 13

gizmo_the_mogwai [7]

Divide both sides by 2
p+1=12
minus 1
p=11

5 0

3 years ago

Jin cut a round gelatin dessert into 8 equal pieces. Seven of the pieces were eaten. What is the angle measure of the dessert th

irga5000 [103]

We have been given that Jin cut a round gelatin dessert into 8 equal pieces. Seven of the pieces were eaten. We are asked to find the angle measure of the dessert that was left.

We know that there are 360 degrees degrees in a circle all the way around the center.

Since Jin cut all pieces of same size, so angle measure of all pieces will be equal.

To find the angle measure of each piece, we will divide 360 by 8.

$\text{Angle measure of each piece of dessert}=\frac{360^{\circ}}{8}$

$\text{Angle measure of each piece of dessert}=45^{\circ}$

Therefore, the angle measure of the dessert left dessert piece is 45 degrees and option D is the correct choice.

5 0

3 years ago

At the beginning of the week the balance in your bank account was $298.72. During the week you made a deposit of $425.69. You al

PSYCHO15rus [73]

Previous balance = $298.72
Add: deposit = $425.69
   = $724.41

Less:
Expences = $29.72
      $135.47
      $208.28
      = $(373.47)
   = $350.94
Less: Bank charge =   $5.00

Balance: = $345.94

4 0

3 years ago

How to expand and simplify +3(g-2)​

How to expand and simplify +3(g-2)