The life expectancy in the US is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. What is the probability that the same mean will be larger than 77 years?

Answers

Answer 1

Answer:

0.02275

Step-by-step explanation:

We use this z score formula to solve for this question

z-score is is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

From the above question,

x = 77

μ = 75

σ = 7

number of samples = 49

Hence, the z score = 77 - 75/ (7/√49)

= 2/(7/7)

= 2/1

= 2

Hence, the z score = 2

Using the z table to find probability

P(x<77) = 0.97725

P(x>77) = 1 - P(x<77)

= 1 - 0.97725

= 0.02275

Therefore, the probability that the same mean will be larger than 77 years

is 0.02275


Related Questions

Please help ASAP this is due tomorrow

Answers

Answer:

c= hy−w /6y

Step-by-step explanation:This is what i got.

Lauren answered 150 questions correctly on her multiple choice history final that had
a total of 200 problems. What percentage of questions did Lauren answer correctly
on the final exam?

Answers

She answers 75 percent correctly

Is 7.525225222....... rational or irrational ?

Answers

Answer:

It is irrational

Step-by-step explanation:

7.525225222....... is non terminating non reoccurring

Therefore it is irrational

if a=120 degrees find the measures of b,c, and d

Answers

Answer:

<b=120°,<c=60° & <d=60°

Step-by-step explanation:

Here,

given that <a=120°

<a is vertically opposite to <b

We know,vertically oppposite angles are equal

So,<a=<b=120°

<a & <c lies on a straight angle.

So,<c=180°-120° (Sum of two angles on a straight angle is 180°)

     <c=60°

Again,<c is vertically opposite to <d.

So,<d=60°.

what is 2/5 + 7/8?
a - 9/40
b - 9/13
c - 50/40
d - 51/40​

Answers

Answer:

51/40

Step-by-step explanation:

2/5+7/8

(2*8/5*8)+(7*5/5*8)

16/40+35/40

=>51/40

Help me I need this fast!!

Answers

I only know what the first one is
Statement is / /_1 and /_2 are supplements , /_3 and /_4 are supplements and /_1 ~= /_4
Reason is given
Hope this helps a little

Find the missing angles with reasons. plz quick it is due today

Answers

Answer:

d = 64, e = 64, g = 55, f = 55

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \sf{see \:below}}}[/tex]

Step-by-step explanation:

d = 64° ( Being vertically opposite angles )

e = 64 ° ( Being alternate angles )

2. g + 125 ° = 180 ° ( sum of supplementary angle)

Move 125 to right hand side and change it's sign

g = 180° - 125°

Subtract 125 ° from 180 °

g = 55 °

f = g ( being alternate angles )

f = 55 °

Hope I helped!

Best regards! :D

The noontime temperature was 29F. This was 4F lower than predicted. Write and solve an equation to determine the predicted noontime temperature. Show that your answer is reasonable

Answers

Answer:

x=33

Step-by-step explanation:

First you haft to find what x is to find the answer

x - 4 = 29

First add 4 to -4 so the cancel out and then you add 4 to 29.

x - 4 = 29

  +4    +4

-----------------

x     =   33

Can anybody help me? I do not understand this

Answers

Can someone help me in my questions I m really stuck

Answer:

f(0) = 3x : 0

f(1) = 3x : 3

f(2) = 3x : 6

f(3) = 3x : 9

Step-by-step explanation:

Write 0.36 Repeating as a fraction in simplest form

Answers

Answer:

The answer would be 4/11

4/11 is the right answer

George was building a staircase for his dog to get up on his bed. The first step is made from 2 boards, the second out of 4 boards, and the third out of 6 boards. There are 8 steps in the staircase. How many boards did George use to create the last step? A 10 B 12 C 16 D 24

Answers

C 16 is the answer

you have to add 2 at each step so 2x8= 16

Answer: C

Step-by-step explanation: I am a big brain pro.

Z= pi^3h, solve for h

Answers

Answer:

Z/ pi^3 = h

Step-by-step explanation:

Z= pi^3h

Divide each side by pi ^3

Z/ pi ^3= pi^3h/pi ^3

Z/ pi^3 = h

the product of a and eleven

Answers

Answer:

11a

Step-by-step explanation:

you can't find the exact answer unless we know what a is equal to

BC has one endpoint
B(3,2) and a midpoint
T(6,-2). Find the
coordinates of the
other endpoint, C.

Thank you in advance!!

Answers

Answer:

Step-by-step explanation:

(3 + x)/2 = 6

3 + x = 12

x = 9

(2 + y)/2 = -2

2 + y = -4

y = -6

(9, -6) the other endpoint C

help please urgent!!!! 10 points

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ First you need to know the area of a triangle:

  ✧ ½ x b x h

✦ Now write you formula out:

  ✧ ½ x 5 x 4

   

✦ Now just solve:

  ✧ 5 x 4 = 20

  ✧ 20 / ½ = 10

So it'd be 10 m²

~Hope this helps Mate. If you need anything feel free to message me.

chris is investing how long it takes his dog to react to different sounds. What is the independent variable?

Answers

I’m pretty sure it’s the different sounds

If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?

Answers

(4,0), go right 3 and down 2

After a translation (x+3, y-2)  the coordinates of D' be  (4, 0).

What is a trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

From the given figure of this trapezoid in a coordinate plane, the points of D is (1, 2).

Now, If this trapezoid is moved through the translation (x + 3, y - 2) the coordinates of D' will be (1 + 3, 2 - 0) ⇒ (4, 0).

learn more about translation here :

https://brainly.com/question/17592356

#SPJ5

if you see this I really need help on this question asap ty so much... "The flagpole in the diagram below has a height of 10ft. The shadow is 12 feet long. What is the distance from the top of the flagpole to the far end of its shadow? (round your answer to the nearest hundredths)"

Answers

Answer:

15.62 feet

Step-by-step explanation:

If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.

[tex]a^{2} + b^{2} = c^{2}[/tex]

let height of flagpole = a

let length of shadow = b

let distance between the two = c

[tex]10^{2} + 12^{2} = c^{2} \\100 + 144 = c^{2}\\244 = c^{2}\\\sqrt{244} = \sqrt{c^{2}} \\\sqrt{244} = c\\15.62 = c[/tex]

Which term describes this figure?

Answers

Answer:

its a angle

Step-by-step explanation:

if a number is negative, then its opposite will be:​

Answers

Answer:

the opposite of a negative number is positive.

Step-by-step explanation:

Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.

Find the circumference of a circle whose diameter is 20 mm. *Plz explain your answer*

Answers

Answer:

The circumference is 62.8.

Step-by-step explanation:

Find the diameter (in this case, 20mm)Multiply the diameter by 3.14, or pi. (Pi can be a different number depending on the problem but 3.14 is the most used one)The product of the diameter multiplied by Pi is the circumference of the circle!

NEED ANSWER ASAP!!! PLEASE

Answers

Answer:

8

Step-by-step explanation:

find the value of x.

x+7+9=3x-6

x+16=3x-6

10=2x

x=5

plug into the equation for ST.

x+3

5+3 = 8

What is?
10 = Z +6
and why is it?​

Answers

Answer:

4

Step-by-step explanation:

10=z+6 <subtract six to each side

4=z

Answer:

4

Step-by-step explanation:

well you got 10 = Z+6 right.. so subract 6 from 10 what do you get, you get 4 so that is th reason Z is 4

Hope I answered ur question

Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer.

Answers

Answer: Choice (a) in the upper left corner

Angle A = 68 degrees

Angle B = 22 degrees

Side AB = 2.9 cm

The three values are approximate

=========================================================

Explanation:

a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

2.7^2 + 1.1^2 = c^2

8.5 = c^2

c^2 = 8.5

c = sqrt(8.5)

c = 2.91547594742266

c = 2.9

The hypotenuse is c = AB = 2.9

--------------------

We then use trig ratios to find the two missing angles.

Let's say we ignore the hypotenuse and focus on the two legs of the triangle.

With respect to reference angle A, side BC is opposite and AC is adjacent

Use the tangent ratio to get

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 2.7/1.1

tan(A) = 2.45454545454546

A = arctan(2.45454545454546)

A = 67.8336541779176

A = 68

Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.

-------------------

Similarly,

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 1.1/2.7

tan(B) = 0.4074074074074

B = arctan(0.4074074074074)

B = 22.166345822082

B = 22

Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.

-------------------

In summary we found

A = 68

B = 22

AB = 2.9

3.
A gardenar wishes to plant 6096 plants in the form of a square and found that there
were 12 plants left. How many plants were planted in each row.

Answers

Answer:  78

Step-by-step explanation:

x² + 12 = 6096

       x² = 6084

    [tex]\sqrt{x^2}=\sqrt{6084}[/tex]

        x = 78

Help me with this. Am just bad with this

Answers

Answer:

0.36  

or

Step-by-step explanation:

Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid
off. Which equation represents the relationship between m, the number of
monthly payments Frankie has made, and t, the total amount
that Frankie has paid the store?

Answers

Answer:

t = 30m+50

Step-by-step explanation:

Answer:

T = 30m + 50

Step-by-step explanation:

Identify the domain and range of the relation {(-5, 4, (-4, -1), (-2, 1), (0, 4), (1, 3)

Answers

Answer:

Domain: -5. -4, -2, 0, 1

Range: 4, -1, 1, 3

Convert 4,700,000,000 from standard form to scientific notation. 470 × 107 47 × 108 4.7 × 109 478

Answers

Answer:

4.7 * 10 ^9

Step-by-step explanation:

4,700,000,000

Scientific notation is of the form

a * 10 ^b  where a is a number between 1 and less than 10

Move the decimal so that it is a number between 1 and less than 10

4,700,000,000  becomes 4.700000000  and we moved the decimal 9 places to the left  b is +9  ( positive because we moved to the left)  We can drop the extraneous zeros

4.7 * 10 ^9

A real estate agent's base salary is 22,000 per year. The agent earns a 4% comission on total sales. How much must the agent sell to earn 60,000 in one year

Answers

Answer: 950,000

Step-by-step explanation:

base salary is 22,000

Target 60,000

60,000-22,000 =38,000 which is 4%

So 38,000/4 = 9,500 which is 1%

So 9,500 * 100 = 950,000 which is 100% total sale

So commission of 4% on 950,000 is 38,000

Therefore 38,000 + 22,000 = 60,000

Other Questions
Cute Camel Woodcraft Company's income statement reports data for its 1st year of operation. The Firm's CEO would like sales to increase by 25% next year. Cute Camel is able to achieve this level of increased sales, but its interest costs increase from 10% to 15% of earnings before interest & taxes (EBIT). The company's operating costs (excluding depreciation & amortization) remain at 65% of net sales, & its depreciation & amortization expenses remain constant from year to year. The company's tax rate remains constant at 40% of its pre-tax income or earnings before taxes (EBT). In year 2, Cute Camel expects to pay $300,000 & $1,824,525 of preferred & common stock dividends, respectively. Complete the Year 2 income statement data & then answer the questions that follow. Round each dollar value to the nearest whole dollar.Year 1 Year 2 (Forecasted)Net Sales $20,000,000 Less: operating costs, except depreciation & amortization 13,000,000 Less: depreciation & amortization expenses 800,000Operating Income (EBIT) $6,200,000 Less: interest expense 620,000Pre-Tax Income (EBT) 5,580,000 Less: taxes (40%) 2,232,000Earnings after taxes $3,348,000 Less: preferred stock dividends 300,000Earnings available to common shareholders 3,048,000 Less: common stock dividends 1,506,600Contribution to Retained Earnings $1,541,400 Given the results of the previous income statement calculations, complete the following statements:a. In year 2, if cute camel has 25,000 shares of preferred stock issued & outstanding, then each preferred share should expect to receive ($12, $30, $18 or $24) in annual dividends.b. If cute camel has 200,000 shares of common stock issued & outstanding, then the firm's earnings per share (EPS) is expected to change from ($31, $16.74, $27.90 or $15.24) in year 1 to ($33.79, $39.75, $18.77 or $20.27) in year 2.c. Cute camel's before interest, taxes, depreciation & amortization (EBITDA) value changed from ($9.5M, $7M, $19.2M or $8.4M) in year 1 to ($8.7M, $20M, $12M or $26M) in year 2.d. It is (CORRECT or INCORRECT) to say that cute camel's net inflows & outflows of cash at the end of years 1 & 2 are equal to the company's annual contribution to retained earnings, $1,541,400 & $1,929,975 respectively. This is because (ALL or ALL BUT ONE) of the item reported in the income statement involve payments & receipts of cash Let u = (2, 3, 1), v = (1, 1, 2), and 3u 2v 4w = (3, 2, 3). Find: a. The vector w.b. -2u + 3v - 5w Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer. help please urgent!!!! 10 points Luthan Company uses a plantwide predetermined overhead rate of $22.10 per direct labor-hour. This predetermined rate was based on a cost formula that estimated $265,200 of total manufacturing overhead cost for an estimated activity level of 12,000 direct labor-hours. The company incurred actual total manufacturing overhead cost of $269,000 and 10,900 total direct labor-hours during the period. Required: Determine the amount of manufacturing overhead cost that would have been applied to all jobs during the period. what are 2 examples of ethical research behaviour? whats -14 = -2(2x+2) George was building a staircase for his dog to get up on his bed. The first step is made from 2 boards, the second out of 4 boards, and the third out of 6 boards. There are 8 steps in the staircase. How many boards did George use to create the last step? A 10 B 12 C 16 D 24 solve for x: -2x - 4 > 8 Practice Activity: Ser o Estar?Use the correct form of ser or estar to fill in the blank. Then justify your answer by writing the USE for each sentence.1.Juan__de Guatemala. (Uso: _)2. Mxico en Amrica de Norte. (Uso:3.Ustedes__inteligentes. (Uso:4. Lionel Messi_bajo. (Uso:5.Qu hora__? (Uso:6. Pacomaestro. (Uso:7. Yobien. (Usos:8. Hoyel once de abril. (Uso:_) Susan ran down the street. a transitive action verb b intransitive action verb c linking verb d none of the above help me please and thank u i need alot of helpWhat was the purpose of the Great Compromise? A. Create three branches of government- legislative, executive, and judicial B. Settle a land dispute C. Decide how the president would be elected D. Settle the way states and citizens were represented in the national government Which equation has no solution? Is pi rational?? helppppp chris is investing how long it takes his dog to react to different sounds. What is the independent variable? T ____ (comer) en el centro de la ciudad. Is 7.525225222....... rational or irrational ? tyler says that Figure B is a scaled copy of Figure A because all of the peaks are half as tall. The TV weather forecaster announces that one location has a 30% chance of rain tomorrow and a 35% chance of hail. What is the probability that it will rain or hail in this location? Convert 4,700,000,000 from standard form to scientific notation. 470 107 47 108 4.7 109 478