4. Ms. Wagner painted the outside of the patio

You invest $500 into a savings account that compounds interest quarterly at a rate of 2%. What will be your account balance afte

STALIN [3.7K]

I =PRT/100
i = 500(2)(8)/100
i = 80

8 0

3 years ago

The difference of sample means of two populations is 55.4, and the standard deviation of the difference of sample means is 28.1.

Doss [256]

Answer:

since if we are testing the null hypothesis at the 95% confidence level is that the difference of the two means is not significant at the 95% confidence level, so the null hypothesis must be rejected.

Hence option 3) is correct.

7 0

3 years ago

Read 2 more answers

HEELPPP how do I solve this equation please do it step by step

docker41 [41]

Answer:

x = -24/7 or x = -3 3/7

Step-by-step explanation:

In this equation, the first thing we will do is to get rid of the denominators -- they complicate everything. So, we can multiply the entire equation by 10, since 10 is the lowest common multiple of 5 and 2, which are the denominators.

Then, the equation will look like this:

2(4x-2) + 5(1) = 5(3x+7) - 10(1)

Notice that the denominators will no longer exist.

Now, distribute on both sides of the equation.

The equation will look like this now:

8x - 4 + 5 = 15x + 35 - 10

Then, we must combine like terms. We want to isolate the variable x on one side of the equation. Let's isolate it on the right side. So, subtract 8x from both sides. The equation will look like this now: - 4 + 5 = 7x + 35 - 10

Now that x is on one side, let's move all the other terms to the left side. Subtract 25 from both sides (35 - 10 = 25 on the right side, get rid of it by subtracting 25). The equation now looks like this: - 4 + 5 - 25 = 7x

Finally, combine all on the left side.

Final equation: -24 = 7x

Now, we know 7x = -24. We want to solve for the value of x. So, divide both sides by 7.

x = -24/7 or x = -3 3/7

7 0

4 years ago

Read 2 more answers

Plz, answer this question plz!

Advocard [28]

Answer:

The answer is

F: 362,880

Step-by-step explanation:

9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

You multiply 9 all the way back to 1 giving you the answer of 362,880

5 0

3 years ago

Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa $4. If Alyssa

yulyashka [42]

Answer:

Part a) Alyssa's expectation is equal to $0.33

Part b) Gabriel's expectation is equal to -$0.33

Step-by-step explanation:

we know that

The expected value is the probability of winning multiplied by the value you get when you win, plus the probability of losing multiplied by the value you get when you lose (which is negative as it is a loss).

Part a) Determine Alyssa's expectation

we know that

1) If Alyssa rolls a 1, 2, or 3, Gabriel gives Alyssa $4

The probability is 3/6

so

we have

$\frac{3}{6}(4)=\$2$

2) If Alyssa rolls a 4, or 5, Gabriel gives Alyssa $1

The probability is 2/6

so

we have

$\frac{2}{6}(1)=\$0.33$

3) if Alyssa rolls a 6, she gives Gabriel $12

The probability is 1/6

so

we have

$-\frac{1}{6}(12)=-\$2$ ---> is negative because is a loss

therefore

Alyssa's expectation is equal to

$\$2+\$0.33-\$2=\$0.33$

Part b) Determine Gabriel's expectation

we know that

1) If Alyssa rolls a 1, 2, or 3, Gabriel gives Alyssa $4

Is a loss for Gabriel

The probability is 3/6

so

we have

$-\frac{3}{6}(4)=-\$2$ ---> is negative because is a loss

2) If Alyssa rolls a 4, or 5, Gabriel gives Alyssa $1

Is a loss for Gabriel

The probability is 2/6

so

we have

$-\frac{2}{6}(1)=-\$0.33$ ---> is negative because is a loss

3) if Alyssa rolls a 6, she gives Gabriel $12

Is a win for Gabriel

The probability is 1/6

so

we have

$\frac{1}{6}(12)=\$2$

therefore

Gabriel's expectation is equal to

$-\$2-\$0.33+\$2=-\$0.33$

3 0

4 years ago