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Anuta_ua [19.1K]
3 years ago
14

1. A box of cookies has 6 1/4 servings. If Carol buys 4 boxes of cookies, how

Mathematics
2 answers:
Vesna [10]3 years ago
5 0
The correct answer is C
Naddika [18.5K]3 years ago
4 0
The answer is C. 6 times 4 is 24 and 1/4 times 4 is 1. therefore 24 + 1 = 25
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Find the population variance and standard deviation. 8​, 17​, 29​, 35​, 41 Choose the correct answer below. Fill in the
Nuetrik [128]

Answer:

(a) σ²  = 144

(b) s² = 12

Step-by-step explanation:

(a) Population variance σ² = ∑(X - \overline{X})² / N

The arithmetic mean \overline{X} = \frac{8 + 17 + 29 + 35 + 41}{5}

                                   \overline{X} = \frac{130}{5}

                                   \overline{X} = 26

σ²  =  \frac{(8 - 26)^{2} + (17 - 26)^{2} + (29 - 26)^{2} + (35 - 26)^{2} + (41 - 26)^{2}}{5}

     =  \frac{(- 18)^{2} + (- 9)^{2} + (3)^{2} + (9)^{2} + (15)^{2}}{5}

     =  \frac{324\ +\ 81\ +\ 9\ +\ 81\ +\ 225}{5}

     = \frac{720}{4}

σ²  = 144

(b) Standard\ deviation = \sqrt{Variance}

                                   = \sqrt{144}

                                   = 12

 

7 0
3 years ago
Giving brainlist to whoever answers this question
Aleonysh [2.5K]

Answer:

44

Step-by-step explanation:

6x +22 + 7x + 16 = 90

13x +38 =90

13x = 52

x = 4

7 x 4 +16 = 44

3 0
2 years ago
Is the answer 200? Or 4.5??? Or is none ? I don't know it's confusing :/ can I get help :/
skelet666 [1.2K]
Let x = the number of penguins we are finding

x ÷ 100 × 30 = 15
x = 15 ÷ 30 × 100
x = 50

hope this helps and have a great day :)


6 0
3 years ago
Read 2 more answers
How do I solve system of equations substitution method??!!?!???
adelina 88 [10]
For example:

x+2y=7
6x+7y=2
__________

x=7-2y *
6*(7-2y)+7y=2 **

__________

x=7-2y
42-12y+7y=2
__________

x=7-2y
-5y=-40
__________

x=7-2y
y=8

x=-9
8 0
3 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
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