What is the approximate circumference of the circle shown below?

A. 135 cm
B. 74 cm
C. 47 cm
D. 148 cm​

Answer:

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, 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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

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

Subtraction of normal variables:

When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.

Method A:

One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]

Method B:

One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]

What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?

This is the probability that B - A >= 5. So

[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]

[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]

We have to find 1 subtracted by the pvalue of Z when X = 5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5 - (-1)}{0.5}[/tex]

[tex]Z = 12[/tex]

[tex]Z = 12[/tex] has a pvalue of 1

1 - 1 = 0, so

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Answer:

4??????????????

Step-by-step explanation:

&÷&$^#£#*$,$

Answer:

the answer is 54 cards . . .....

Answer:

question-1 A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?

Solution

The number of chocolate bars is equal to

18 × 25 = 450

Step-by-step explanation:

this is only an example

comment me

aapko yeh kesa lga ?

Im not sure how to explain how to do a graph, but I hope this helps at least a bit!

~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~

Answer:

10y - 20

Step-by-step explanation:

Step-by-step explanation:

4-(-5)

= 4+5

= 9

............

20

Step-by-step explanation:

Answer:x= -1/2

Step-by-step explanation:

Answer:

the first one is 5 times 5 times 5

the second is 7 times 7

the third is 2 times 2 times 2

Step-by-step explanation:

Answer:

x^2 - 5

Step-by-step explanation:

x = -1, y = 1 - 5 = -4.

x = 0, y = 0-5 = -5.

x = 1, y = 1 - 5 = -4.

Answer:2

just make them into positive if there’s 2 negatives 7-5=2

Answer:

3

Step-by-step explanation:

[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]

Answer:

4 1/4

Step-by-step explanation:

divide 255 by 60

Answer:

2

Step-by-step explanation:

15y-30. Factor by finding the larger common factor.

15*y-15*2

15(y-2)

You can't solve this unless it is written as an equation:

15(y-2)=0

%2815%2F15%29%28y-2%29=0%2F15

y-2=0

y-2%2B2=0%2B2

y=2

Happy Calculating!!!

I know you said never mind but the answer is a and d if it's wrong im sorry but i got it right on mine

Answer: a & d

Step-by-step explanation:

20,24,28,36,51,60 us the correct statement

Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).  

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.  

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.  

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.  

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

total are 36 and it's 1

Answer:

it would be C do to the fact that 0.5 x 8=4

Answer:

D

Step-by-step explanation:

[tex]-5+2(7b+6)\geq 10b+7(1+11b)\\-5+14b+12\geq 10b+7+77b\\70b\leq 0\\b\leq 0[/tex]

Answer:

Step-by-step explanation:

4a^5 - a + a^5 + 6a - 1

5a^5 + 5a - 1

Answer:

Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160

Step-by-step explanation:

Answer:

again sorry I do not know but I think it d because it not the same as the rest.

Answer:

146.3m²

Step-by-step explanation:

area of quarter circle=1/4π×8²

=50.3m²

area of the square=s²

8×8=64m²

area of the triangle=1/2bh

1/2×8×8=32m²

total area=50.3+64+32=146.3m²