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2 years ago

1) point)

Mathematics

1 answer:

elena55 [62]2 years ago

8 0

<h3>Answer: 0.10</h3>

Explanation:

Add up the given decimal values

0.03+0.14+0.65+0.08 = 0.90

Recall that all of the P(X) values must add to 1 to represent 100% of all possible outcomes. So far we added to 0.90, so we're missing 1 - 0.90 = 0.10

As a check,

0.03+0.14+0.65+0.08 + 0.10 = 1

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A $10,000 deposit at the bank will double in value in 9 years. Give a formula for the accumulated amount t years after the inves

wolverine [178]

Answer:

$S = P(1.08)^{t}$

Step-by-step explanation:

A $10,000 deposit at the bank will double in value in 9 years.

If the interest is r% and it is compounded each year, then we can write from the formula of compound interest that

$20000 = 10000(1 + \frac{r}{100})^{9}$

⇒ $2 = (1 + \frac{r}{100})^{9}$

⇒ $1 + \frac{r}{100} = 1.08$

⇒ r = 8%

Therefore, the formula for the accumulated amount t years after the investment is made will be

$S = P(1 + \frac{8}{100})^{t} = P(1.08)^{t}$

where, P is the invested principal and S is the accumulated sum. (Answer)

3 0

4 years ago

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docker41 [41]

Answer: y=12.287

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Assume that women's heights are normally distributed with a mean given by mu equals 63.2 in, and a standard deviation given by

JulijaS [17]

a. Your answer is correct.

b. Divide the given value of sigma by √n where n = sample size = 7. Then perform the same calculation you did for part a. The probabiilty is 0.4427.

8 0

4 years ago

In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. if five compu

Sindrei [870]

The probability that all of them will be defective is 0.0000759375

<em><u>Explanation</u></em>

The general <u>Binomial Probability</u> formula is....

$P= ^nC_{r}*p^r*(1-p)^n^-^r$ , where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.

Given, the probability that a computer will be defective is 0.15 , so p = 0.15

Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5

Now according to the above formula....

$P= ^5C_{5}*(0.15)^5*(1-0.15)^5^-^5 \\ \\ P= 1*(0.15)^5* (0.85)^0\\ \\ P=(0.15)^5 =0.0000759375$

So, the probability that all of them will be defective is 0.0000759375

7 0

4 years ago

Help with the following problem please

Effectus [21]

Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5

By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1

Area of outer circle = $\pi R^2=\pi7^2=49\pi$
Area of large shaded circle = $\pi x^2=\pi5^2=25\pi$
Area of 4 small shaded circles = $4\pi r^2=4\pi1^2=4\pi$
Total area of shaded circles = $25\pi+4\pi=29\pi$

Shaded area as a fraction of that of the outer circle
$=\frac{29\pi}{49\pi}=29/49$

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3 years ago