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3 years ago

Pls answer all 3

Mathematics

1 answer:

exis [7]3 years ago

7 0

Number 1 is 6,000 2 is 5,456 3 is 00.2

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A sample of 100 independent random numbers is taken from this distribution, and its average is used to estimate the mean of the

Mariulka [41]

Answer:

The standard error in estimating the mean = (0.1 × standard deviation of the distribution)

Step-by-step explanation:

The standard error of the mean, for a sample, σₓ is related to the standard deviation, σ, through the relation

σₓ = σ/(√n)

n = sample size = 100

σₓ = σ/(√100)

σₓ = (σ/10) = 0.1σ

Hence, the standard error in estimating the mean = (0.1 × standard deviation of the distribution)

4 0

3 years ago

7 1/4 % as a decimal

Mila [183]

7 1/4% equals 7.25% and there is your answer.

8 0

3 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

2 years ago

Read 2 more answers

Please answer this correctly without making mistakes

ddd [48]

Answer:

589

Step-by-step explanation:

l x w

19x11

5x31

5x45

589

6 0

3 years ago

What is the mean of this data set? 74, 81, 77, 88 *

Yanka [14]

Answer is 160

explanation: add all of them up and divid by how many numbers are in the data set
74+81+77+88=320
then divid 320 by 4 =160

4 0

3 years ago