All categories

3 years ago

The button on Keith's shirt has a radius of 3 cm.

Mathematics

1 answer:

mestny [16]3 years ago

6 0

Answer:

first find the diameter 3x2=6

6 is the diameter multiply the diameter x 3.14

6x3.14=18.84

Step-by-step explanation:

You might be interested in

E) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, wh

netineya [11]

Yes, we need the sisters age to find it the answer, not trying to be rude we just need the sisters age.

7 0

3 years ago

PLEASE HELP ME NOW! THIS IS DUE AND I NEED HELP, please and thank you.

GaryK [48]

Hfdjuggb 77₽+I /2-1₽5

3 0

3 years ago

To test μ for an x distribution that is mound-shaped using sample size n ≥ 30, how do you decide whether to use the normal or st

Luden [163]

Answer:
Use the normal distribution if the population standard deviation is known.
Use the student's t distribution when the population standard deviation is unknown.

Explanation:
A mound-shaped distribution refers to the normal distribution.
A good sample size for testing against the normal distribution should be
n >= 30.
The condition for the sample size is satisfied.
However, we are not given the population standard deviation, therefore it is assumed to be unknown.
Therefore the student's t distribution should be used.

6 0

3 years ago

A piece of cloth is folded into a square with a side length measuring x inches. When it is unfolded, it has an area of x2 + 27x

Dmitriy789 [7]

Our task here is to find possible factors of <span>x^2 + 27x + 162.
We need to check out possible factors of 162 first. Examples are:
2(81), 3(54), 6(27), 9(18), and so on. Notice that 9 and 18 add up to 27, so that the factors (x+9) and (x+18) produce x^2 + 27x + 162 when mult. together.</span>

7 0

3 years ago

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

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

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

3 0

3 years ago