If the
mean of a, b, c and d is 8 then what
is the
mean
of
A. a+2,b+2,c+2,d+2
B. ½a,½b,½c,½d​

Answer:

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 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 [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.

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F.

This means that [tex]\mu = 57, \sigma = 10[/tex]

Sample of 25:

This means that [tex]n = 25, s = \frac{10}{\sqrt{25}} = 2[/tex]

of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal?

This is 1 subtracted by the pvalue of Z when X = 59. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{59 - 57}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.84

1 - 0.84 = 0.16

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

Answer:

Jefferson High School

Step-by-step explanation:

so the same ratio would be 12 chaperones to 210 students....12/210 reduces to 2/35

18/300 reduces to 3/50

20/350 reduces to 2/35

8/160 reduces to 1/20

14/260 reduces to 7/130

So the same ratio would be Jefferson High School

Step-by-step explanation:

16xy is your Answer..

hope it helps

Answer:

The answer is 16xy

Step-by-step explanation:

All we have to do is take out the x and the y then multiply.

2 * 4 * 2 = 16

Then we add the x and y back.

= 16xy

So, the answer is 16xy

Hope this helps! :)

The mass of the plastic pipe which is 10 cm long and has an outside diameter of 5 cm and an inside diameter of 4 cm is 65 grams.

Volume of a hollow cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of hollow cylinder can be given as,

[tex]V=\pi (r_2^2-r_1^2)h[/tex]

Here, (r₂) is the outer radius of the cylinder, (r₁) is the inner radius of the cylinder and (h) is the height of the cylinder.

A plastic pipe 10 cm long has an outside diameter of 5 cm and an inside diameter of 4 cm. Radius is half of the diameter. Thus, the outer radius is 2.5 cm (5/2) and the inner radius is 2 cm (4/2).

The volume of this cylinder is,

[tex]V=3.14 ((2.5)^2-2^2)\times10\\V=70.65\rm\; cm^3[/tex]

The mass of plastic pipe is the product of its volume and density. The density of the plastic is 0.92 g/cm3. Thus, the mass of it is,

[tex]m=70.65\times0.92\\m=65\rm\; grams[/tex]

Thus, the mass of the plastic pipe which is 10 cm long and has an outside diameter of 5 cm and an inside diameter of 4 cm is 65 grams.

Learn more about the volume of cylinder here;

https://brainly.com/question/12748872

#SPJ2

Answer:

Area = 12

Step-by-step explanation:

The perpendicular bisector of the triangle going from upper left to the middle marks the height of the triangle. It's area is found from the standard formula.

Area = b * h / 2

b = 2 + 2 = 4

h = 8

Area = 1/2  * 4 * 8

Area = 1/2 * 32

Area = 16

The smaller triangle is found from all the twos.

b = 2 + 2 same as the larger triangle

h = 2

Area = 1/2 2 * 4

Area = 1/2 8

Area = 4

Total Area = 4 + 16

Total Area = 20

Answer:

Area=20

Step-by-step explanation:

A = 20 cm

Answer:

There`s no photo but I can still help tell you how to solve the volume of a rectangular prism. Just multiply the length by the width, and then that by the height.

The formula is V = lwh

Hope this helps

Answer: 10 days

Step-by-step explanation:

1/6 + 1/5 = 5/30 + 6/30 = 11/30 (total for the day)

4 / (11/30) = 10.90909091 (divide the total amount of packages by the daily total)

So 10 complete days.

Answer:

c

Step-by-step explanation:

hope it helps

Answer:

$58.50

Step-by-step explanation:

2.75 per 1000

2.75 x 14 = 38.5

$38.50 + $20 =$58.50

Answer:

Howard bought a total of  4.5 + 1  =  5.5  pounds of jellybeans.

At  0.80 x 5.5  =  $4.40.

36600 level of water and that is the answer

Answer:

9 scoops

Step-by-step explanation:

(4 1/2)/(1/2) = 9/2 x 2/1 = 18/2 = 9 scoops

Answer:

B  

Step-by-step explanation:

i just think it is because you would not survey anyone that was not in the science class

Answer:

I think B and D

Step-by-step explanation:

I’m not 100% sure tho

Answer:

number 3

Step-by-step explanation:

thats my calcue

Answer:

117.79 ft

Step-by-step explanation:

tan23 = 50/x

(x)tan23 = 50

x = 50/tan23

x = 117.79 ft

Answer:

it's the first one... I think

Answer:

third one

I'm assuming does 2's are squared symbols.

Step-by-step explanation:

It's the third one because

sin^2 x sec^2 x

sin^2 x (1/cos^2 x) by reciprocal identity

sin^2 x/cos^2 x by multiplicative identity prop

tan^2 x by quotient identity

The first one wouldn't work because plugging in pi/4 gives 1+1=1 which isn't true.

The second one doesn't work because plugging in pi/4 gives 2+2=1 which isn't true.

The last equation doesn't make sense at all. There is no variable on the left and on the right there is an extra variable.

Step-by-step explanation:

In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:

The angles always add to 180°: A + B + C = 180° ...

Law of Sines (the Sine Rule): When there is an angle opposite a side, this equation comes to the rescue. ...

Law of Cosines (the Cosine Rule):

Answer:

a is the answer my aunt told me she is a teacher

Answer:

x = 1

Step-by-step explanation:

523 x = 523                                                                                                                Divide each term in  523 x = 523  by  523 . 523 x 523 = 523  523

Cancel the common factor of  523 .

Tap for more steps... x = 523  523

Divide   523   by  523 . x = 1                                                                                               May I please have a Brainliest please rate this too and like!  

Answer:

The volleyball team's variability is greater because the range is greater! :)

Answer:

first answer your correct

Step-by-step explanation:

So basically the basketball team and the volleyball team are different because the basketball team has more people on it. The height difference is greater for basketball team.

Answer:

26.8

I might be late but its never to late to give the right answer

Answer:

yup the answer is 26.8

Step-by-step explanation:

i made a 100 so trust me!

Answer:

Step-by-step explanation:

It is a vertical section and the figure formed from the cross-section is:

Correct choice is B

Answer:

40 multiplied by 65 is 2600 then we divide by 65 and our answer is 65.so 65 plus 40 is 105.

Step-by-step explanation:

Answer: C

Step-by-step explanation: The hypothesis of the right triangle is shorter than the right.

Answer:

Undefined

Step-by-step explanation:

Answer:

d. is ur answer

Step-by-step explanation: