The cost of 5 gallons of ice cream has a variance of 49 with a mean of 37 dollars during the summer. What is the probability that the sample mean would be less than 35.2 dollars if a sample of 77 5-gallon pails is randomly selected

Answers

Answer 1

Answer:

P ( Z < 35,2 )  =  0,0122    or   1,22 %

Step-by-step explanation:

Assuming a normal distribution:

μ = 37

σ²  =  49       σ  =  7

Z(s) =  (  x  -  μ  ) / σ /√n

Z(s) = ( 35.2  -  37 ) / 7 / √77

Z(s) =  - 1.8 * 8.77 / 7

Z(s)  =  -  2.25

From z- table we find the area under the bell shape curve and it is:

0,0122

Then  P ( Z < 35,2 )  =  0,0122    or   1,22 %


Related Questions

eric invested 5000 dollars in the stock market. The value of his stock increased by 13%. a) what is the amount earned from this investment?
b) what is the new value of the stock?

Answers

Answer:

[tex]Earnings = 650[/tex]

[tex]New\ Value = 5650[/tex]

Step-by-step explanation:

Given

[tex]Amount = 5000[/tex]

[tex]Rate = 13\%[/tex]

Solving (a): The earnings.

This is calculated as:

[tex]Earnings = Amount * Rate[/tex]

[tex]Earnings = 5000 * 13\%[/tex]

[tex]Earnings = 650[/tex]

Solving (b): New Value

This is calculated as:

So, we have:

[tex]New\ Value = Amount + Earnings[/tex]

[tex]New\ Value = 5000 + 650[/tex]

[tex]New\ Value = 5650[/tex]

Helpppppp pleaseee this is timed. NO LINKS OR I WILL REPORT YOU please help I will mark you brainliest. Also please give an explanation please pretty please

Answers

Answer:

whats the question??

Step-by-step explanation:

A person invested $810 in an account growing at a rate allowing the money to double
every 10 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $1,690?

Answers

Answer:

i dont know bro

Step-by-step explanation:

Answer:

10.6

Step-by-step explanation:

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram.
P(A) = 0.44, P(B) = 0.36 and P(A and B) = 0.20 .

P(B ∣ not A)=

Answers

Answer:

0.2857

Step-by-step explanation:

P(B | not A)

Recall :

P(A | B) = P(A n B) / P(B)

Hence ;

P(B | not A) = P(B and not A) / P(not A)

P(not A) = 1 - P(A) = 1 - 0.44 = 0.56

P(B and not A) = P(B) - P(A and B) = 0.36 - 0.20 = 0.16

Hence,

P(B | not A) =P(B and not A) / P(not A) = 0.16 / 0.56

= 0.2857

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

76

Step-by-step explanation:

WHATS THE ANGLE MEASUREMENTS ?? & TELL HOW YOU GOT IT !!


PLEASE HELP !! ILL GIVE BRAINLIEST!! 100 POINTS !! NO FAKE ANSWERS.


Answers

Answer:

a=42 b=71.5 c=42.5   (lemme know if this is wrong)

Step-by-step explanation:

7x+4x+5x=16x

2+10=12

180-12= 168 degrees.

168/16=x

x=10.5

b= 71.5

a=42

c=42.5

please please i need help

Answers

Answer:

Second one

Step-by-step explanation:

The answer is the second option.... (6)^3 is 216and (1)^3 is 1 so the answer is (1/126). I hope it helped????? :)

What is the correct order of the functions from least to greasiest according to the average rate of change on the interval from x-1 to x =3

Answers

Answer:
g(x) , f(x) , h(x)
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
As we all know, the average of change can be determined by the following formula:

As can be seen in the attached photo, The function f(x) is given by:

x = -1 we have:
= 2
x = 3 we have:
= 34
Hence,the average rate of change of f(x) is:

As can be seen in the attached photo, The function g(x) is a straight line that passes through: (-1,-2) and (3,0)
<=> when x = -1 y = -2 and when x = 3 y = 0
=> the average rate of change of g(x) is:

Based on the table of values of h(x) we have:
h(-1)= 14
h(3)= 62
=> the average rate of change of h(x) is:

Therefore, the correct order of the functions from least to greatest according to the average rate of change is: g(x) , f(x) , h(x)
Hope it will find you well.


Find the equation of a line perpendicular to 4x - 5y = -1 that contains the point (5, -4)

Answers

Answer:

y = -5/4x + 2 1/4

Step-by-step explanation:

you would start by changing the equation to point intercept form

4x + 1 = 5y

4/5y + 1/5 = y

then you fill in the points and change the slope to -5/4 (reciprocal and opposite sign)

-4 = -5/4(5) + b

-4 = -6.25 + b

2.25 = b

Please help!!! Make up a word problem that the following equation could
represent:
5x + 9 = 44


Answers

Answer:

Marissa buys 5 bottles of soda which cost X, she also buys a 9 dollar meal. If her total cost was 44 dollars, how much does each bottle cost?

Step-by-step explanation:

Answer:

there was was 5 fish in the tank and a shipment of x amount plus nine recent babies were born? equaling to 44 in total?

Step-by-step explanation:

Henry is recording what kind of shoes people are wearing at
the mall. Out of the 12 people he has seen, 4 are wearing high
heels. What is the experimental probability that the next
person Henry sees will be wearing high heels?

Answers

Answer:

1/4

Step-by-step explanation:

if you subtract 12 - 4 you get 8 and 4/8 = 1/4

I’m sorry I do not know

What is the 12th term of the geometric sequence where *

A7 = 7 and 10 = -56
O-448
0-224
O -112
0 -96

Answers

Answer:

-224

Step-by-step explanation:

Geometric sequence is given by An = A*R^(n-1)

Given A7 = 7 and A10 = -56

A10/A7 = -8 = R^(10-7)

R^3 = -8

R = -2

A12 = A10*R^2

= -56*-2^2

= -224

Answer:

Step-by-step explanation:

A7 = 7

A10 = -56

7xRxRxR = -56

R = -2

A12 = A10xRxR

= -56 x -2 x -2

= 224

PLEASE HELP! Image below

Answers

Answer:

1.6

Step-by-step explanation:

So, first, write down the number of jokers in each deck of cards.

That would be: 0, 1, 2, 2, 3

Then, add up all those numbers.

0+1+2+2+3=8

Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.

8/5=1.6

So, the mean of the data in the dot plot shown is 1.6.

:L)

Directions: Write your answer in the box. Do not use spaces.
What is the perimeter of the figure?
70 ft
60 ft
60 ft
20 ft
10 ft
20 ft
feet
HELP ASAP!!

Answers

Answer:

240

Hope this Helps

Add all the sides together so 70+60+60+20+10+20=240 feet

The population of a town is increasing by 647 people Per year if the population is 1400 today what will the population be in three years?

Answers

3341 i believe........

A particular fruit's weights are normally distributed, with a mean of 406 grams and a standard deviation of 9 grams.

If you pick one fruit at random, what is the probability that it will weigh between 379 grams and 394 grams

Answers

Answer:

P(379<X<394) = 0.0899 = 8.99%

Step-by-step explanation:

P(379<X<394) = normalcdf(379,394,406,9) = 0.0898613146 ≅ 8.99%

Therefore, if you pick one fruit at random, the probability that it will weigh between 379 grams and 394 grams is 0.0899 or about an 8.99% chance of occurence.

in angle RST, the measure of

Answers

Answer:

Angle RST is a straight angle, or 180°.

Step-by-step explanation:

Subsequently, question is, what is RST measured in? Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case the sum of the angles will be more than 180 degrees) then the other two angles, R and S, are equal: R=(180-100)/2=40.

Likewise, people ask, what is the measure of angle rst 94?

Then the measure of arc RST is 94° +96° = 190°.

What is the measure of arc rst?

— RT is a diameter, so RST is a semicircle, and m RST = 180°. The measure of a minor arc is the measure of its central angle. The expression m AB is read as “the measure of arc AB.” The measure of the entire circle is 360°.

Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an equation or proportion modeling the scenario. Do not solve the problems.


A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60.50. How much will the family leave their server as a tip?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34.00 before tax and tip, how much money will they save by using the coupon?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
A family of eight dines in a popular franchise restaurant. The restaurant has a policy of automatically including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58.25 in food and beverage sales, plus a standard tip of $10.49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?
A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94.20 and they used a 15% off coupon? (HINT: Create more than one model.) DONT ANSWER THE QUESTION JUST PUT THE EQUATIONS

Answers

Answer:

A) t=0.2(60.5)

B) d=0.15(34)

C) t=0.9(157.3)

D) p=100(10.49/58.25)

E) t=0.85(94.2+0.2(94.2))

Step-by-step explanation:

A)

Let the tip be represented by t. The tip is 20% of $60.50:

t=0.2(60.5)

B)

Let the money they save be represented by d. Their discount is 15% of $34:

d=0.15(34)

C)

Let the new total be represented by t. Their discount is 10%, so they will only be paying 90% of $157.30t:

t=0.9(157.3)

D)

Let the percentage be represented by p. The tip is $10.49, to find this as a precent of the $58.25 bill, divide the tip by the bill and multiply by 100:

p=100(10.49/58.25)

E)

First find the total after the tip but before the coupon.

Their tip is 20% of $94.20, and their total before the coupon is $94.20 plus the tip: 94.2+0.2(94.2)

Now find their final total.

Let the final total be represented by t. The discount is 15%, so they will only be paying 85% of the total after tip:

t=0.85(94.2+0.2(94.2))

Write log2 0.25 = -2 in exponential form​

Answers

Answer:

0.25 = 2^-2

The "^" means that -2 is an exponent on top of 2.

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.05 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

Sal will pay $77.78 to tile his entryway  

SOLUTION:

The image of the question is attached below.  

Given each unit length = 1 foot  

Tile cost per square feet = $1.  65

To find the area, split the floor shape into two shape.  

One is trapezoid and the other is parallelogram.  

Let's count the grid given.  

The parallels sides of trapezoid are 7 ft and 4 ft, height is 7 ft.  

The base and height of the parallelogram are 4 ft and 4 ft respectively.  

Area of the trapezoid =1/2 ×(sum or parallel  sides)× height

                                      =1/2× (7+4)×5

                                       =1/2×11×5

Area of the trapezoid = 27.5 sq.ft  

Area of the parallelogram = base × height  

                                       = 4 ft × 4 ft  

Area of the parallelogram = 16 sq. ft  

Total area = 27.5 sq. ft + 16 sq. ft  

              = 43.5 sq. ft  

Cost of area per sq. ft = $1.65  

Cost of area 43.5 sq. ft = 43. 5 × 1.65  

                                   = $71.775

                                   = $71.78  

Hence Sal will pay $71.78 to tile his entryway.

Who ever answers gets to be brainlist anyways tell me how to mark you as brainlist?

Answers

Answer:

part W

you tap the person and it gives you that option

hope that helps I don't answer things for points I like to help and maybe

PLEASE HELP ASAPPP!!

Answers

Answer:

A.

D: x [tex]\geq[/tex] -7

R: y [tex]\geq[/tex] -9

B.

D: x [tex]\geq[/tex] -3

R: All real numbers

C.

D: -10 < x < 10

R: -20 < y < 10

A hoodie normally costs $35. There is a 25% discount. What is the sale price of the hoodie ?​

Answers

Answer:

The new sale price is $26.25 dollars.

Step-by-step explanation:

Answer: $26.25

Step-by-step explanation:

multiply 35.00 by .25 or 25% and you get 8.75 and then subtract that from 35 to get $26.25

Hope this helps ! :)

What is the y-intercept in the equation y = 4x - 3?

Answers

answer: -3

remember the equation y = mx + b

m is the slope, and b is the y-intercept

so in the equation y = 4x - 3,

4 replaces the m as the slope and -3 replaces b for the y-intercept

so -3 is your answer

Answer:

-3

Step-by-step explanation:

One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air Force Base in California. Let A denote the event that the Vandenberg launch goes off on schedule, and let B represent the event that the Cape Canaveral launch goes off on schedule. If A and B are independent events with P(A) > P(B), P(A ∪B) = 0.626, and P(A ∩B) =0.144.

Required:
Determine the values of P(A) and P(B).

Answers

Answer:

[tex]P(A) = 0.45[/tex]

[tex]P(B) = 0.32[/tex]

Step-by-step explanation:

Given

[tex]P(A) > P(B)[/tex]

[tex]P(A\ u\ B) = 0.626[/tex]

[tex]P(A\ n\ B) = 0.144[/tex]

Required

Find P(A) and P(B)

We have that:

[tex]P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)[/tex] --- (1)

and

[tex]P(A\ n\ B) = P(A) * P(B)[/tex] --- (2)

The equations become:

[tex]P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)[/tex] --- (1)

[tex]0.626 = P(A) + P(B) - 0.144[/tex]

Collect like terms

[tex]P(A) + P(B) = 0.626 + 0.144[/tex]

[tex]P(A) + P(B) = 0.770[/tex]

Make P(A) the subject

[tex]P(A) = 0.770 - P(B)[/tex]

[tex]P(A\ n\ B) = P(A) * P(B)[/tex] --- (2)

[tex]0.144 = P(A) * P(B)[/tex]

[tex]P(A) * P(B) = 0.144[/tex]

Substitute: [tex]P(A) = 0.770 - P(B)[/tex]

[tex][0.770 - P(B)] * P(B) = 0.144[/tex]

Open bracket

[tex]0.770P(B) - P(B)^2 = 0.144[/tex]

Represent P(B) with x

[tex]0.770x - x^2 = 0.144[/tex]

Rewrite as:

[tex]x^2 - 0.770x + 0.144 = 0[/tex]

Expand

[tex]x^2 - 0.45x - 0.32x + 0.144 = 0[/tex]

Factorize:

[tex]x[x - 0.45] - 0.32[x - 0.45]= 0[/tex]

Factor out x - 0.45

[tex][x - 0.32][x - 0.45]= 0[/tex]

Split

[tex]x - 0.32= 0 \ or\ x - 0.45= 0[/tex]

Solve for x

[tex]x = 0.32\ or\ x = 0.45[/tex]

Recall that:

[tex]P(B) = x[/tex]

So, we have:

[tex]P(B) = 0.32 \ or \ P(B) = 0.45[/tex]

Recall that:

[tex]P(A) = 0.770 - P(B)[/tex]

So, we have:

[tex]P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45[/tex]

[tex]P(A) = 0.45 \ or\ P(A) =0.32[/tex]

Since:

[tex]P(A) > P(B)[/tex]

Then:

[tex]P(A) = 0.45[/tex]

[tex]P(B) = 0.32[/tex]

453-44:6*7/2-678
Heeeeeeelp

Answers

Answer:

[tex]\frac{-752}{3}[/tex]

Step-by-step explanation:

Triangle LMN has the vertices shown on the coordinate grid.

What is the length of LM?

I’ll give BRAINLIEST

Answers

9514 1404 393

Answer:

  d. √74 units

Step-by-step explanation:

The distance formula is useful for finding the length of a line segment.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Filling in the point coordinates L(-5, -3) and M(0, 4), we find the length of LM to be ...

  LM = √((0-(-5))^2 +(4 -(-3))^2) = √(25 +49)

  LM = √74 . . . units

what the surface area of the cube​

Answers

Answer:

sum of area of All six faces of cube is it's total surface area

Step-by-step explanation:

surface area of a cube =6*area of faces =6*(side) square

What is the exponential form of the expanded form below?

10 times 10 times 10 times 10 times 10
5 times 10
5 superscript 10
10 superscript 1
10 superscript 5

Answers

Answer:

b

Step-by-step explanation:

Answer:

it's D (10^5)

Step-by-step explanation:

Classify the slope of the line shown:

Answers

Answer:

Its a positive slope since its going up.

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