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2 years ago

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A high school student has started a new job. He plans to save $1 the first week, $2 the second week, $4 the third week, and $8 t

he fourth week. If this pattern of savings could continue, how much would he save the tenth week?
a.
$150
c.
$400
b.
$370
d.
$512

2 answers:

Soloha48 [4]2 years ago

5 0

D is the answer it must be it

Mama L [17]2 years ago

3 0

If you already know that you have . . .

1$ after week 1
2$ after week 2
4$ after week 3
8$ after week 4

. . . You can then tell that every week the money you save doubles (times 2)

So to continue . . . .
16$ after week 5
32$ after week 6
64$ after week 7
128$ after week 8
256$ after week 9
512$ after week 10

You will then know that after ten weeks u will have 512$ which is answer choice D.

Hope this helps! :)

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Answer:

$P(x\geq 7)=0.1886$

Step-by-step explanation:

The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.

So, the probability that x customers will order a nonalcoholic beverage is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}$

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

$P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}$

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

$P(x\geq 7)=P(7)+P(8)+P(9)+P(10)$

Where:

$P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011$

So, $P(x\geq 7)$ is equal to:

$P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886$

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886

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At the craft store, Ayana bought a bag of blue and orange marbles. She received 41 blue marbles and 9 orange marbles. What perce

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Answer:

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Step-by-step explanation:

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41/50 (blue/total) is 82%! :)

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Answer:

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Add the cost of each item together.

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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

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Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

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Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

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Divide both sides by r

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Expand Expression

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Multiply both sided by r

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Recall that $D = 2r$

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