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3 years ago

Find f(-3). f(x) = 4(2)^x

Mathematics

1 answer:

Ray Of Light [21]3 years ago

4 0

Answer:

D - 1/2

Explanation:

f(-3) = 4(2)^-3

f(-3) = 4 • 1/8

f(-3) = 1/2

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How much higher is 500 than -400 m

gogolik [260]

Answer:

900m

Step-by-step explanation:

All you have to do is find the difference between the two measurements

500 - (-400)

Then, two negatives create a positive:

500 + 400

= 900

3 0

2 years ago

Read 2 more answers

Question 9: emathintruction can you guys help me? .....

stira [4]

Answer:

Choice #1) multiplied by 3

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3 years ago

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] .

7 0

2 years ago

Declan has n baseball cards. Sam has 4 times as many baseball cards as Declan. Amaya has 7 fewer baseball cards than Sam. Which

marishachu [46]

Answer: 4n -7

Sam has 4 times than Declan so it would 4n. Amaya has fewer so then you would add the -7 and the equation you get is 4n - 7.

4 0

2 years ago

There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB, how many

svp [43]

Answer:

Option A - 10

Step-by-step explanation:

Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.

To find : How many color patterns are possible?

Solution :

Total number of chips = 5

So, 5 chips can be arranged in 5! ways.

There are 3 red chips and 2 blue chips.

So, choosing 3 red chips in 3! ways

and choosing 2 blue chips in 2! ways.

As changing the places of similar chip will not create new pattern.

The total pattern is given by,

$T=\frac{5!}{3!\times 2!}$

$T=\frac{5\times 4\times 3!}{3!\times 2}$

$T=10$

Therefore, color patterns are possible are 10.

Option A is correct.

4 0

3 years ago