Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 888 days and a standard deviation of 666 days. A biologist collects a random sample of 505050 of these male mosquitos and observes them to calculate the sample mean lifespan. We can assume that the mosquitos in each sample are independent.

What will be the shape of the sampling distribution of the sample mean lifespan?

Answers

Answer 1

Answer:

Approximately Normal

Step-by-step explanation:

The sample size is large (n50≥30n), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.


Related Questions


Find the value of x. (For your answer, just type the
NUMBER. Do not put x = .)

Answers

Answer:

9

Step-by-step explanation:

The lines are parellel, so you use the formula 7x+12=9x-6 to solve for x.

What would happen to the variance of a data set if we multiplied every observation by S?

Answers

The variance of a constant is zero. Rule 2. Adding a constant value, c, to a random variable does not change the variance, because the expectation (mean) increases by the same amount. ... Multiplying a random variable by a constant increases the variance by the square of the constant.

Six times the sum of a number and 20 is at least 26. Use the variable b for the unknown number.​

Answers

Answer:

6(b + 20) ≥ 26

Step-by-step explanation:

6(b + 20) ≥ 26

Answer:

6(b + 20) ≥ 26

b ≥ -15 2/3

Step-by-step explanation:

6(b + 20) ≥ 26

6b + 120 ≥ 26

6b ≥ -94

b ≥ -15 2/3

A doughnut shop makes 21 different types of doughnuts each day. Customers often select a "baker's dozen" from the shop,
that is, 13 doughnuts.
How many different ways can a customer choose 13 different types of doughnut for their "baker's dozen" without
repetition?

Answers

Answer: 203490

Step-by-step explanation:

just took an L to give you the right answer

Consider the equation 7x+2(x+5)=9x+10.
(a) Show that x=-5 and x = 2 are both solutions to this equation.

Answers

Answer:

7*-5+2(-5+5)=-35

9*-5+10=-35

7*2+2(2+5)=28

9*2+10=28

Step-by-step explanation:

when plugging the x values in, you get the same answer for both equation, make the equation equal.

Which expression is a fourth root of -1 + i sqrt{3} please help

Answers

Answer:

r e^iT = r cos T + i r sin T

r cos T = -1

r sin T = sqrt 3

30, 60 90 triangle in second quadrant r = 2, T = 180-60 = 120

so

2e^120i

foruth root is 2^.25 e^(120/4)i

2^.25 e^30 i

2^.25 ( cos 30 + i sin 30)

Step-by-step explanation:

Translate the sentence into an equation.
Twice the difference of a number and 7 is equal to 9 .
Use the variable Y for the unknown number.

Answers

Answer:

equation: 2(Y-7) = 9

Here the number is twice the difference.the difference is 7, so Y - 7Equals to 9.

If a> 1 then prove that a^2>1

Answers

Step-by-step explanation:

a² = a × a

a > 1

a² = (1+d) × (1+d) = 1² + 2d + d²

with d > 0

since d > 0, then so is 2d and also d².

so, a² is the sum of 1² = 1 and something greater than 0.

so, a² > 1

Write the recursive formula for the following sequence:
16, 8, 4, 2, ...

Answers

Answer:

Answer is in the image

HOPE IT HELPS, BE SAFE KIDDO :3

need help...much appreciated!! Thanks!!

Answers

2k + 11 = 131

2k = 131 - 11

2k = 120

k = 120/2

k = 60

if the arithmetic mean of 8,4,6,x,2,7 is 5 then find the value of x?​

Answers

Answer:

This gives us the value of $x$ as 3. Hence the answer is 3.

Step-by-step explanation:

Step-by-step explanation:

if you would arrange it in order and solve you will get 3

Which point is located at (3,4)? A) M. B) N. C) O. D) P

Answers

B) N.

As we can see that the point N is 4 units away from x axis and 3 units away from y axis. Thus constituting the coordinate (3,4)

Answer:

B) N

Step-by-step explanation:

HOPES THIS HELP

Lynn ate lunch and wanted to leave her waitress 15% tip. her meal cost 8.95$. what is the tip and the total

Answers

Answer:

Tip would be 1.34

Step-by-step explanation:

total would be 10.29

The sum of 3, 4, and a number amounts to 16

Answers

16 = 3 + 4 + X
X= 16- (3+4)
X = 16-7
X= 9

Richard tosses a football with an initial velocity of 10ft/sec from an initial height of 6ft. What is the maximum height the ball will reach?


A. About 7.6ft
B. About 0.3ft
C. 1ft
D. 6ft


Answer: A

Answers

The maximum height the ball will reach is 7.6 ft.

Maximum height of the projectile

The maximum height attained by the projectile is calculated as follows;

v² = u² - 2gh

where;

v is the final velocity at maximum height = 0u is the initial velocityh is the heightg is acceleration due to gravity

0 = u² - 2gh

2gh = u²

[tex]h = \frac{u^2}{2g} \\\\h = \frac{10^2}{2(32.2)} \\\\h = 1.6 \ ft[/tex]

Thus, the maximum height the ball will reach = 1.6 ft + 6ft = 7.6 ft.

Learn more about maximum height here: https://brainly.com/question/12446886

I’m awful at geometry! Please help :)

Answers

Answer:

a is 64 degrees

b is 138.6667

Step-by-step explanation:

a is simple because you know a straight line has 180 degrees and since one side is 116 you simply subtract 180-116=64.

b is more complicated. Since a hexagon has a total internal angle of 720. 3 angle measures are given.

720-116- (180-82)-90=416

Since the last three angles are the same, you can divide by 3.

416/3=138.6667

Hopefully I didnt make any calculation errors because there is a lot of calculating for b.

Olivia has a dozen apples of the same size
and a dozen pineapples of the same size.
Olivia uses her juicer to extract 12 ounces of
pineapple juice from 7 pineapples and 16
ounces of apple juice from 4 apples. She
makes a pineapple-apple juice blend from an
equal number of pineapples and apples.
What percent of the blend is pineapple juice?

Answers

Answer: 30% of the blend is pineapple juice

Step-by-step explanation:

Since 7 pineapples yield 12 oz of juice, 1 pineapple yields 1 5/7 oz of juice.

Since 4 apples yield 16 oz of juice, 1 apple yields 4 oz of juice.

She’s making a pineapple-apple juice where the ratio of apples and pineapples used is 1:1. To find what percent of the blend is pineapple juice:

1 apple to 1 pineapple. The combined amount of juice they produce is 5 5/7 oz. The formula to find what percent of teh blend is pineapple juice is oz of pineapple juice divided by the combined amount of juice in the blend.

1 5/7 divided by 5 5/7 equals 3/10, or 30%.

The fraction of the blend that is pineapple and apple gives the

percentage that is pineapple.

Response:

The percentage of the blend that is pineapple juice is 30%

How can the percentage of pineapple juice in the blend be calculated?

Amount of juice extracted from 7 pineapples = 12 ounces

Amount of juice extracted from 4 apples = 16 ounces

Therefore;

The amount of juice from 1 pineapple = [tex]\mathbf{\frac{12}{7}}[/tex] ounces = [tex]1\frac{5}{7}[/tex] ounce

The amount of juice from 1 apple = [tex]\frac{16}{4}[/tex] ounces

The amount of juice from 1 apple = 4 ounces

Which gives;

The amount of juice from 1 pineapple and 1 apple =  [tex]\frac{12}{7}[/tex] + 4 = [tex]\frac{40}{7}[/tex] = [tex]5\frac{5}{7}[/tex]

The amount of juice from 1 pineapple and 1 apple =  [tex]5\frac{5}{7}[/tex] ounces

The percentage of pineapple juice is therefore;

[tex]Percentage \ pineapple \ juice \ in \ blend= \dfrac{\dfrac{12}{7} }{\dfrac{40}{7} } \times 100 = \dfrac{12}{7} \times \dfrac{7}{40} \times 100 = \underline{30\% }[/tex]

Learn more about percentages here:

https://brainly.com/question/26150306

A square has 12 cm length and it's area is equal to the area of a rectangle having length 16 cm.What is the breadth of the rectangle?​

Answers

Step-by-step explanation:

Hope this helps you......

[tex] \displaystyle{ \blue{ \frak{DisneyPrincess29}}}[/tex]

Answer:

Breadth = 9 cm

Explanation:

Find the area of square using; area of square: length²

area of the square:

→ 12²

→ 144 cm²

The rectangle has similar area. rectangle area: 144 cm²

use the formula to find area of rectangle:

length * breadth = area of rectangle

using the formula:

→ length * breath = 144

→ 16 * breadth = 144

→ breadth = 144/ 6

→ breadth = 9 cm

What is the slope of the line represented by the equation y = -1/2x + ¼?

Answers

Given :-

y = -1/2x + 1/4

To Find :-

The slope of the equation .

Solution :-

Here a equation is given to us and we need to find out the slope of the line . The given equation is ,

→ y = -1/2x + 1/4

We know that slope intercept form of the line is ,

→ y = mx + c

where m is the slope of the line .

On comparing ,

m = -1/2

Hence the slope of the line is -1/2.

I hope this helps .

Can someone help me with this geometry question!? ASAP

Answers

Answer:

D.

I hope it's help:))))))))))))))

Would be appreciated if someone could help on this transformation question
A. -105
B. -75
C. 75
D. 105

Answers

Answer:

  B.  -75

Step-by-step explanation:

Consider segments AC and A'C'. Point A' is clockwise from point A by an amount less than 90°. Positive angles are measured counterclockwise, so this suggests the angle of rotation is about -75°.

__

In the attached, we have used the invariant point on segments AC and A'C' as the vertex of the angle we want to measure. The angle between the lines appears to be about 75°, matching the answer choices.

An equivalent fraction to 5/16 is 10/32 correct?​

Answers

Answer:

correct

Step-by-step explanation:

Yes.

You multiply both 5 and 16 by the same number, 2, to get 10/32.

yes, if you continue simplifying it will get to 10/32

In △ABC,c=9, m∠B=65°, and a=105. Find b.

Answers

Answer:

Step-by-step explanation:

b² = a² + c² - 2ac × cos (m∠B)

b² = 105² + 9² - 2(9)(105)cos65°

b ≈ 101.5

Whats point slope formula again
i forgot-

Answers

Answer:

Whats point slope formula

[tex]➢ \: formula = y - {y}^{1} = m \: (x - {x}^{1} \\ y = coordinate \: of \: second \: point \\ {y}^{1} \: coordinate \: of \: point \: one \\ m = slope \\ x = coordinate \: of \: second \: point \\ {x}^{1} = coordinate \: of \: point \: one.[/tex]

[tex]TextFromYourMrEx[/tex]

#CarryOnLearning

Hi!

I can help you with joy! :)

Remember, point-slope form

[tex]\rm{y-y1=m(x-x1)[/tex]

Where

y1 is the y-coordinate of the point

m is the slope

x1 is the x-coordinate of the point

Hope it helps!

Enjoy your day!

[tex]\bf{erutaNtneliS[/tex]

Help I Will Give Brainliest If Correct

Answers

Hi!

The formula for volume is length * width * height

We are given the area of the base of the figure and the height.

The volume for area is length * width

That means that the length * width part of the volume formula is already done, so we just have to multiply that by the height.

[tex]3 \frac{3}{8}[/tex] * [tex]2[/tex]

[tex]6 \frac{6}{8}[/tex] [tex]= 6\frac{3}{4}[/tex]

For other volume-related questions, see:

https://brainly.com/question/18571772

Solution:

We know that:

Volume = L × B × HIf L and B are multiplied, they will find the area of the base.L × B = Area of base of rectangular prism.

If L and B are multiplied, they will find the area of the base.

This means that:

Area of base of rectangular prism = L × B = 3 3/8 units²Volume = Area of base of rectangular prism × H

Substitute the area of base of rectangular prism in the volume formula.

Volume = Area of base of rectangular prism × H=> Volume = 3 3/8 × H

Substitute the height in the volume formula.

=> Volume = 3 3/8 × 2

You can further solve this in two methods. You can use any of them.

Method #1:

Convert the mixed fractions into improper fraction.

=> Volume = [(3 × 8 + 3)/8] × 2=> Volume = [(24 + 3)/8] × 2                                            [Multiplication first]=> Volume = [(27)/8] × 2=> Volume = 27/8 × 2

Multiply the fractions

=> Volume = 54/8 units³ = 27/4 units³

Convert the volume into mixed fraction:

27/4 = 24/4 + 3/4 = 6 + 3/4 = 6 3/4 units³Method #2:

Break 3 3/8 into smaller parts:

(3 3/8) × 2=> (24/8 + 3/8) × 2

Simplify the distributive property:

=> 2(3) + 2(3/8)=> 6 + 6/8 = 6 6/8 = 6 3/4 units³

Likewise, you can use any method, it will give the same result.

~If you have questions about my answer, don't hesitate to post it in the comments~

Hoped this helped!

1. Physicians There are about 900,000 active physicians in the United States, and they have annual incomes with a distribution that is skewed instead of being normal. Many different sam- ples of 40 physicians are randomly selected, and the mean annual income is computed for each sample.
a. What is the approximate shape of the distribution of the sample means (uniform, normal, skewed, other)?
b. What value do the sample means target? That is, what is the mean of all such sample means?

Answers

Using the Central Limit Theorem, it is found that:

a) The shape is approximately normal.

b) It targets the population mean.

Central Limit Theorem

The Central Limit Theorem establishes 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 sampling distribution is also approximately normal, as long as n is at least 30.

Item a:

The variable is skewed, however, the sample size is greater than 30, hence the approximate shape of the distribution is normal.

Item b:

According to the mean of the sampling distributions, given by the Central Limit Theorem, it targets the population mean.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

writing to explain tyler has 83 footballs cards that he wants to put into an album. each page holds 6 cards. how many pages will he need? how many spaces will he have left for new cards? explain to awnser.

Answers

Since tyler has 83 football cards we can divided, 83 divided by 6 cards for each page would have 13 cards, and he would have an extra page making 14 with the last one containing 5 left over cards, this would leave one space left over for new cards.

factorise 8x+12 please

Answers

Answer: 4(2x+3)

Step-by-step explanation:

The greatest common factor in the two terms is 4.

Therefore, by factoring out a 4 we get

4(2x+3)

Find the 23rd
term of the arithmetic sequence whose common difference is d=4 and whose first term is a = -15.

Answers

[tex]  \mathsf{T_n = a + (n - 1)d}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ (23 - 1)4}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ (22)4}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ 44}[/tex]

[tex] \to \mathsf{T_{23} = 29}[/tex]

BrainlyVIP -.- ✋

Answer:

a₂₃ = 73

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 15 and d = 4 , then

a₂₃ = - 15 + (22 × 4) = - 15 + 88 = 73

If cos (α+β) = 0, then sin(α-β) can be reduced to​

Answers

Solution

[tex] \text{ cos}( \alpha + \beta ) = 0 \\ \\ \implies \: \alpha + \beta = 90 \degree [\because \text{cos \: 90 \degree} = 0 ] \\ \\ \implies \theta = 90 \degree - \beta \: \: \: \: ......(i)[/tex]

[tex] \sin( \alpha - \beta ) \\ = \sin(90 \degree - \beta - \beta ) \: \: \: \: \text{[using \: (i)]} \\ = \sin(90 \degree - 2 \beta ) \\ = \cos(2 \beta ) \: \: \: \: \: \: \: \: \text[ \because \sin(90 \degree - \theta) = \cos( \theta) ] [/tex]

Hope This Helps!! :)
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