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3 years ago

Lauren is going to invest in an account paying an interest rate of 3.4% compounded

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

5 0

Answer:

P = $9948.99

Step-by-step explanation:

Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034. Find the principal amount P.

Solving A = P(1 + r)^t for P, we get:

$13,000 $13,000

P = -------------------- = --------------- = $9948.99

(1 + 0.034)^8 1.3067

Lauren needs to invest $9948.99 for this purpose.

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An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

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2 years ago

What is the value of x in the diagram?

olga55 [171]

Answer:

C. 20(degree symbol)

Step-by-step explanation:

lol I couldn't find the degree symbol so I just did that

hope this helps :)

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2 years ago

Which of the following shows 2x3y-3x2+7yx-12y written in standard form

AysviL [449]

2x^(3)y+7xy-3x^(2)-12y

is in standard form

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3 years ago

Solve for X: x + 17 = 2(5x - 23)

Sergio039 [100]

Answer:

7; brainliest please!

Step-by-step explanation:

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