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2 years ago

New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will

1 answer:

5 0

The sequence is 11n+1 as the difference between each number is 11 and if you substitute 1 for n, you must add 1 to 11 to make 12. This sequence works for the other numbers as well.
To find out the height of the plant on the 15th day, just substitute 15 for n:
(11 x 15)+1=166mm is the height of the plant in 15 days.

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Can somebody help me please!

Marrrta [24]

Answer:

Less than

Step-by-step explanation:

1/3 * 7/15 is less than 1/3 because 1/3 * 7/15 is being multiplied by a number that is less than 1.

7 0

1 year ago

wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be he

erma4kov [3.2K]

Answer:

0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

3.5% of the people in the area where a large wedding is to be held are pollotarian.

This means that $p = 0.035$

300 guests

This means that $n = 300$

Mean and standard deviation:

$\mu = p = 0.035$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.035*0.965}{300}} = 0.0106$

What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals?

This is 1 subtracted by the pvalue of Z when X = 0.05. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.05 - 0.035}{0.0106}$

$Z = 1.41$

$Z = 1.41$ has a pvalue of 0.9207

1 - 0.9207 = 0.0793

0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

7 0

2 years ago

The equation of a circle is (x−11)2+(y+15)2=144 . What is the circle's radius?

yuradex [85]

The equation of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius.
To find the radius, we would find the square root of 144, which is 12.
r=12

:)

3 0

2 years ago

Read 2 more answers

If f(x) = -3x - 2 find f(-7)

Sladkaya [172]

Answer:

Step-by-step explanation:

this question means you have to place the value of -7 were there's x in the function.

f(-7)=-3(-7)-2

=21-2

=19

I hope this helps