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3 years ago

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. 8â€‹, 17â€‹, 29â€‹, 35â€‹, 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:

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