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julia-pushkina [17]

3 years ago

7

a soccer field has a length of 100 yards and a width of 60 yards .which equation can you use to find the area of the soccer fiel

d

1 answer:

nadya68 [22]3 years ago

6 0

60 × 100

Since the formula for area of a rectangle is length × width, multiplying the sides will get you the area.

Hope this helps!

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The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of

Karo-lina-s [1.5K]

Answer:

a) $P(\bar X$

b) $P(98$

c) $P(\bar X$

d) $P(93$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(99.9,30)$

Where $\mu=99.9$ and $\sigma=30$

We select a random sample of n=36. And from the central limit theorem we know that the distribution for the sample is given by:

$\bar X \sim N(\mu =99.9 , \frac{\sigma}{\sqrt{n}}= \frac{30}{\sqrt{38}}=4.87)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X$

$=P(Z$

Part b

For this case we want this probability:

$P(98$

$=P(\frac{98-99.9}{\frac{30}{\sqrt{38}}}$

And we can find this probability on this way:

$P(-0.39$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-0.39$

Part c

If we apply this formula to our probability we got this:

$P(\bar X$

$P(\bar X$

Part d

For this case we want this probability:

$P(93$

$=P(\frac{93-99.9}{\frac{30}{\sqrt{38}}}$

And we can find this probability on this way:

$P(-1.42$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1.42$

3 0

3 years ago

Also need help with this question

Lilit [14]

Answer:

Using PEDMAS, you would have to do the parentheses part first(you would multiply 5 by 4 and 5 by -1.5x.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

400,000,000,000 + 90,000,000,000 + 6,000,000,000 + 600,000,000 + 60,000,000 + 300,000 + 40,000 + 2,000 + 800 + 10 + 1 Write the

Harman [31]

I think it's 4.96x10^11
if you input into a calculator and count the decimal from the end to the left it should give you your answer
p.s. that was a bad explanation, im sorry

7 0

3 years ago

Read 2 more answers

Find an equation in rectangular coordinates for the spherical equation ρ = 7 csc ( ϕ ) csc ( θ )

irinina [24]

$\rho=7\csc\phi\csc\theta\implies\rho\sin\phi\sin\theta=7\iff y=7$

7 0

3 years ago

If two cards are drawn without replacement from a 52 card deck, find the probability that the second card drawn is red, given th

snow_lady [41]

Answer:

The probability that the second card drawn is red, given that the first card was a heart is 0.1225

Step-by-step explanation:

Total cards in a deck = 52

Total red cards = 26

Heart cards = 13

Probability of getting red card = $\frac{13}{52}$

Total remaining card = 51

Remaining red cards = 25

Probability of getting red card in second draw without replacement = $\frac{25}{51}$

So, the probability that the second card drawn is red, given that the first card was a heart = $\frac{13}{52} \times \frac{25}{51} =0.1225$

Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225

5 0

3 years ago