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Serggg [28]
3 years ago
7

Todd owes $438.53 on his credit card. He returns two items, one for $49.36 and the other for $52.95. Then he makes purchases of

$32.24 and $33.23. What is the new balance on the card?
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

The new balance is $475.07 Because He starts with $438.53. when he returns both items, it refunds his money ( $438.53 + $49.36 + $52.95 = $540.54) Then he spends money ( $540.54 - $32.24 - $33.23 = $475.07) The answer is $475.07

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Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar
xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ_{e}^2 → S_{e} ^{2}), you have to use the following formula:

Se²=<u> (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²</u>

                        n₁+n₂+n₃-k

Se²=<u> 19*14.3 + 19*17.2 + 19*16.7 </u>= <u>  915.8   </u>  = 16.067

                 20+20+20-3                  57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33

4. P(F_{2; 57} ≤ F) = P(F_{2; 57} ≤ 0.33) = 0.28

I hope you have a SUPER day!

3 0
3 years ago
HELP<br><br> explain what the answer is
Vaselesa [24]

Answer:10/7 and mixed number form is 1 3/7

4 0
2 years ago
Find the period of the graph
olya-2409 [2.1K]

Answer:

240 degrees

Step-by-step explanation:

Looking at the graph we can see that the first peak is at -30 degrees and the second peak is at 210 degrees.

210 - (-30) = 210 + 30 = 240

5 0
3 years ago
What is the factorization of the polynomial below<br>-x^2 - 15x - 56​
Andrej [43]

Answer:

Step-by-step explanation:

This is more easily understood if you take out a common factor of -1

-1(x^2 + 15x + 56)

7*8 = 56

7 + 8 = 56

-1 (x +8)(x+7)

3 0
2 years ago
Montel spends $0.75 every time he plays his favorite video game. If you have $10, write and resolve an inequality to calculate h
Bumek [7]

Answer:13.333333 repeating

Step-by-step explanation:money divided by how much the games cost

3 0
3 years ago
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