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kicyunya [14]
1 year ago
6

A car manufacturer crash tests a certain model of car and measures the impact force. The test and model in question produce impa

ct forces that are normally distributed with a mean of 30 metric tons and a standard deviation of 1.5 metric tons. Suppose that the manufacturer tests a random sample of 3 cars and calculates the sample mean impact force. What will be the shape of the distribution of the sample mean?
a.Skewed to the left
b.Skewed to the right
c.Approximately normal
d.Unknown, we don’t have enough information to determine the shape
Mathematics
1 answer:
SIZIF [17.4K]1 year ago
8 0

Answer:

c.Approximately normal

Step-by-step explanation:

The manufacturer had done some test and the result is that the impact forces of the car are normally distributed. Since the sample of the test will be the same kind of car, then the distribution type of the sample will be normal too. Normal distribution will not be skewed to right or left, the data will look like a symmetrical bell shape.

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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
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Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

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<span>=<span>sinx</span><span>(1−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(1−<span>1<span>sinx</span></span>)</span></span>

<span>=<span>sinx</span><span>(<span><span>cosx</span><span>cosx</span></span>−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(<span><span>sinx</span><span>sinx</span></span>−<span>1<span>sinx</span></span>)</span></span>

<span>=<span><span>sinx</span><span>cosx</span></span><span>(<span>cosx</span>−1)</span><span><span>cosx</span><span>sinx</span></span><span>(<span>sinx</span>−1)</span></span>

<span>=<span>(<span>cosx</span>−1)</span><span>(<span>sinx</span>−1<span>)</span></span></span>

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1 year ago
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Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over t
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Roberta invested $600 into a mutual fund that paid 4% interest each year compounded annually. Write an exponential function of t
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Answer:

The exponential equation is <em>A = 600(1.04)^15</em>

<em></em>

The value of the mutual fund after 15 years is <em>$1,081</em>

Step-by-step explanation:

The  value of the mutual fund after the number of years can be represented using the compound interest  equation below;

A = P(1 + r/n)^nt

Where A is the value of the mutual fund after 15 years, P is the initial amount invested which is $600, r is the interest rate which is 4% or 0.04(4% = 4/100 = 0.04), n is the number of times we are compounding per year(which is 1 since it is a one time payment per year) and t is the number of years which is 15

Let's plug these values, we have;

A = 600(1 + 0.04/1)^15

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Answer:

The Probability found is:

P =  \frac{13}{18}

Step-by-step explanation:

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Let y be the 25 cents coin.

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(x,x) = 20

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(x,y) = 35

3) First coin = 25 cents, Second coin = 10 cents , so

(y,x) = 35

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