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4 years ago

14

Last weekend Mandy collective four times as many shows as Cameron. Together they collected 40 shells. How many shells dkd Mandy

collect

2 answers:

liq [111]4 years ago

4 0

Mandy collected 10 shells

aliya0001 [1]4 years ago

3 0

The answer is 10.

10x4=40

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

3 years ago

I need help right now. report cards are coming in soon and i need to get my grades up

saul85 [17]

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

4 0

3 years ago

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What is the least common multiple of 3 and 2?

vovikov84 [41]

Answer:

The answer is 6

Step-by-step explanation:

Hope this helps

6 0

3 years ago

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There are currently 21 frogs in a (large) pond. The frog population grows exponentially, tripling every 7 days. How long will it

Xelga [282]

Let x = number of days

The initial number of frogs = 21.
The number of frogs triples every 7 days.
The exponential function that models the number of frogs with respect to the number of days is
$y = 21(3^{x/7} )$

When the population is 150, then
$21(3^{x/7}) = 150 \\\\ 3^{x/7} = 150/21 \\\\ \frac{x}{7} ln(3) = ln(150/7) \\\\ x = 7( \frac{ln(150/21)}{ln(3)} ) = 12.527
$
A graph of y versus confirms the answer.

Answer: 12.5 days

7 0

3 years ago

3. Describe how you would solve 5(x + 3) = 28.

Lady bird [3.3K]

Answer:

5(x+3) =28

5x+15=28

5x=28-15

5x=13

x=13/5

x=2.6

Step-by-step explanation:

8 0

3 years ago