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2 years ago

No estimating in this question.

Mathematics

1 answer:

nekit [7.7K]2 years ago

5 0

Driving 350 miles requires

(350 mi) / (10.4 mi/L) ≈ 33.65 L

of petrol.

This amount of petrol would cost

(33.65 L) × (£1.29/L) ≈ £43.41

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Use the GCF to factor: 90u + 80q

baherus [9]

Answer:

10(9u+8q)

Step-by-step explanation:

4 0

2 years ago

In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s

Oksi-84 [34.3K]

Answer:

a) $\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

b) From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

c) $P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

$P(Z\geq2.070)=1-P(Z$

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

$\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4$

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

$\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

Part b

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

Part c

For this case we want this probability:

$P(\bar X \geq 285)$

And we can use the z score defined as:

$z=\frac{\bar x -\mu}{\sigma_{\bar x}}$

And using this we got:

$P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

And using a calculator, excel or the normal standard table we have that:

$P(Z\geq2.070)=1-P(Z$

8 0

3 years ago

You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to com

Vladimir79 [104]

Answer:

2005 points

Step-by-step explanation:

1. 35x50=750

2. 2 min. 45 sec.=(-165 sec.)

3. 500x5=2500

4. 2500-495=2005

Hope this helped!!:)

6 0

3 years ago

Each rectangle on the tile sweater is 6 inches wide and 4 inches high. It took 11 stitches to make 2 inches in width and 21 rows

allsm [11]

Answer:

the answer is 800in

Step-by-step explanation:

3 0

2 years ago

FOR BRAINLIST ANSWER AND 10 POINTS ANSWER ALL PLZ !!!!!

igor_vitrenko [27]

<h2>Greetings!</h2>

<h3>If you can see, every 4 minutes the amount of water is increasing at a constant rate. </h3>

197 - 153 = 44

285 - 241 = 44

<h3>This means that at 8 minutes, because there is 153 gallons already in, we can divide 8 by 4 to see how many groups of 4 minutes there were. </h3>

8 ÷ 4 = 2

So then we can subtract two lots of 44 from 153:

153 - (44 x 2) = 65

<h3>So the starting amount was 65.</h3>

<h3>The answer to B is the second option, because it is true that the amount of water is increasing. This is by 44 gallons per 4 minutes.</h3>

The amount of gallons per minute can be found out by dividing the amount by 4:

44 ÷ 4 = 11

<h3>So it is 11 gallons per minute.</h3>
<h2>Hope this helps!</h2>

3 0

3 years ago