Answer:
The estimated mean number of rockets hits in the region is 533.
Step-by-step explanation:
We are given the following information,
Number of rocket hits | Observed number of regions
0 | 228
1 | 214
2 | 94
3 | 32
4 | 7
5 | 0
6 | 0
7 | 1
We are asked to estimate the mean number of rocket hits in the region.
The mean or expected value is given by
[tex]\mu = \sum (x \cdot P(x)) \\\\\mu = (0 \cdot 228) + (1 \cdot 214) + (2 \cdot 94) + (3 \cdot 32) + (4 \cdot 7) + (5 \cdot 0) + (6 \cdot 0) + (7 \cdot 1) \\\\\mu = 0 + 214 +188+ 96 +28 +0+ 0 + 7 \\\\\mu = 533[/tex]
Therefore, the mean number of rockets hits in the region is 533.
Jose Canseco hit three fifth-deck home runs at SkyDome/Rogers Centre during his career, including the first ever at the stadium in 1989. That first homer is listed as a distance of 480 ft, and the fifth deck is approximately 75 feet above field level. How fast was the ball going just as it left Conseco’s bat?
Answer:
187 ft/s
Step-by-step explanation:
Given in the y direction:
v₀ = 0 ft/s
Δy = 75 ft
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.165 s
Given in the x direction:
Δx = 480 ft
a = 0 ft/s²
t = 2.165 s
Find: v₀
Δx = v₀ t + ½ at²
(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²
v₀ = 187 ft/s
KEVIN HAS TWO PART-TIME JOBS. HE DELIVERS PIZZA FOR PEDRO'S PIZZERIA
AND MAKES $8 AN HOUR, PLUS $20 FOR DRIVING EXPENSES EACH WEEK. HE
ALSO DOES ODD JOBS FOR A LOCAL HARDWARE STORE, WHERE HE IS PAID $10
AN HOUR.
A. WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE H
REPRESENTS THE NUMBER OF HOURS KEVIN WORKS, AND A
REPRESENTS THE AMOUNT HE EARNS AT EACH JOB IN A WEEK. B. HOW MANY HOURS MUST KEVIN WORK AT EACH JOB SO THAT HIS EARNINGS FROM BOTH SIDES ARE THE SAME? C. WHAT WOULD HIS INCOME FROM EACH JOB BE IN THAT CASE?
Answer:
A. A = 8h + 10
A = 10h
B. 5 hours
C. $50
Step-by-step explanation:
A. https://brainly.com/question/17036764
Pizza Place: A = 8h + 10
Hardware Store: A = 10h
Since you had made a separate question for part A, I answered that.
B. Kevin's earnings is represented by A. Because we want the earnings for each job to be equal, set the two equations equal to each other. Solve for h.
8h + 10 = 10h
10 = 2h
5 = h
Kevin has to work 5 hours.
C. Plug 5 into each equation.
A = 8h + 10
A = 8(5) + 10
A = 40 + 10
A = 50
A = 10h
A = 10(5)
A = 50
Kevin will make 50 from each job.
the pie chart on the left shows the mean of transport 60 people use every morning to get to work. How many people use the train to go to work
Answer:
I wanna end myself bye random stranger.
KARUNA OPENED A CANDY SHOP AND SELLS CHOCOLATE AND PEANUT
BUTTER FUDGE BY THE POUND. THE CHOCOLATE FUDGE COSTS $3.20 PER
POUND AND THE PEANUT BUTTER FUDGE COSTS $3.00 PER POUND. ON A
GIVEN DAY KARUNA'S CANDY SHOP SELLS 15.5 POUNDS OF FUDGE FOR A
GROSS PROFIT OF $48.50
A WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE C
REPRESENTS THE NUMBER OF POUNDS OF CHOCOLATE FUDGE SOLD,
AND P REPRESENTS THE NUMBER OF POUNDS OF PEANUT BUTTER
FUDGE SOLD
B. HOW MANY POUNDS OF PEANUT BUTTER FUDGE DID KARUNA'S CANDY
SHOP SELL?
Answer:
A. System of equations:
[tex]3.2C+3P=48.5\\C+P=15.5[/tex]
B. 5.5 pounds of peanut butter fudge were sold.
Step-by-step explanation:
Given:
Cost of chocolate fudge = $3.20
Cost of peanut butter fudge = $3.00
Total pounds sold = 15.5
Total gross profit = $48.50
C is the number of pounds of chocolate fudge sold.
P is the number of pounds of peanut butter fudge sold.
To find:
System of equations and number of pounds of peanut butter fudge sold = ?
Solution:
As per given conditions:
1. [tex]C+P=15.5[/tex]
Gross profit from Chocolate fudge: [tex]3.20 \times C[/tex]
Gross profit from Peanut Butter fudge: [tex]3.00 \times P[/tex]
Total gross profit = [tex]3.20C+3.00P = 48.50[/tex]
So, the system of equations is:
[tex]3.2C+3P=48.5\\C+P=15.5[/tex]
2. To find P.
Let us solve the equations.
Multiply 2nd equation with 3 and subtracting from 1st equation:
[tex]0.2C = 48.5- 3 \times 15.5\\\Rightarrow 0.2C = 48.5- 46.5\\\Rightarrow C = 10\ pounds[/tex]
Putting in 2nd equation:
[tex]10+P=15.5\\\Rightarrow P =5.5\ pounds[/tex]
So, the answer is:
5.5 pounds of peanut butter fudge were sold.
If one card is drawn from a deck. find the probability of getting these results. Enter your answers as fractions or as decimals rounded to 3 decimal places.
Part 1
An ace and a heart
P(acc and heart)-
Part 2
An 8 or a diamond
P (8 or diamond)-
Part 3
A red 7
P(red 7)-
Answer: Part 1: 1/52 Part 2: 15/26 Part 3: 1/26
Step-by-step explanation:
A ace of hearts is only 1 card
a 8 or a diamond a 8 is a 4/52 chance and a diamond is a 26 / 52 chance
26 + 4 = 30
30/52 simplifies to 15/26
A red 7 has a 4/52 chance for a 7 and half of that for a red card so 2/52 then 1/26
Pediatricians prescribe 5ml of cough syrup for every 25lb of a child’s weight. How many milliliters of cough syrup will the doctor prescribe for Jocelyn, who weighs 45lb?
Answer:
x=9
Step-by-step explanation:
for this sort of a problem, I would set up a proportion
5/25=x/45
multiply both sides by 25 and 45
45*5=x*25
225=25x
x=9
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. (Give answers to 2 decimal places) Store's Card Major Credit Card
Sample size 64 49Sample mean $140 $125Population variance $100 $641. A point estimate for the difference between the mean purchases of the users of the two credit cards is:________.2. At 95% confidence, the margin of error is:____________.3. A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is___ to ___.
4. The test statistic for an alpha of .05 is:____________.
Answer:
Step-by-step explanation:
1) Point estimate is the difference between the sample means. Therefore,
A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15
2) Margin of error = z√(σ²/n1 + σ2²/n2)
Where
z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96
s1 and s2 are standard deviation for both customers respectively.
Standard deviation = √variance
σ1 = √100 = 10
σ2 = √641 = 25.32
Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5
At 95% confidence, the margin of error is 7.5
3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error
Confidence interval = 15 ± 7.5
The upper boundary for the confidence interval is
15 - 7.5 = 7.5
The lower boundary for the confidence interval is
15 + 7.5 = 22.5
A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5
4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)
z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)
z = (140 - 125)/√10²/64 + 25.32²/49
z = 1.02
The test statistic for an alpha of .05 is 1.02
Please answer this correctly
Answer:
4/7
Step-by-step explanation:
The numbers 7 or odd are 1, 3, 5, and 7.
4 numbers out of 7.
P(7 or odd) = 4/7
What is the slope of a line perpendicular to y=-7X?
O A.
4
B.
IN
N
O c.
4
O D.
PLZZZ HELP
Answer:
1/7
Step-by-step explanation:
y=-7X
The slope of this line is -7
Perpendicular lines have slopes that multiply to -1
-7 * m = -1
Divide each side by -7
m = -1 / -7
m = 1/7
The slope of the perpendicular line is 1/7
Answer:
1/7
Step-by-step explanation:
Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.
So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).
to find perpendicular slope..
Step 1. Multiple -7 by -1 = 7
Step 2. Flip 7/1 to 1/7
Answer: 1/7 is perpendicular slope
Evaluate 9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
Answer:
see below
Step-by-step explanation:
9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
We are replacing 9 with 10 minus something
9 = 10 -1
9 x 8 = (10 x 8) - ( 1 x 8)
80 - 8
72
Find the measure of the indicated angle to the nearest degree. Thanks.
Answer:
34
Step-by-step explanation:
uts obtuse angle
Answer:
16°
Step-by-step explanation:
Let x° be the missing angle:
cos x° = 53/55
cos x° = 0.963
using a calculator:
cos^(-1) (0.963) = 15.63 ≈ 16
Find dy/dx by implicit differentiation.
x^2/x+y=y^2+7
Answer:
dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)
Step-by-step explanation:
x² / (x + y) = y² + 7
x² = (x + y) (y² + 7)
Take derivative of both sides with respect to x. Use power rule, product rule, and chain rule.
2x = (x + y) (2y dy/dx) + (y² + 7) (1 + dy/dx)
Simplify.
2x = (2xy + 2y²) dy/dx + y² + y² dy/dx + 7 + 7 dy/dx
2x = (2xy + 3y² + 7) dy/dx + y² + 7
2x − y² − 7 = (2xy + 3y² + 7) dy/dx
dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise Find the indefinite integral.
a) dx3x 2 + 2
b) x3 + 2x
c) dx6x 5 + 5
d) x6 + 5x
Answer:
a.) dx3x² + 2
Use the properties of integrals
That's
integral 3x² + integral 2
= 3x^2+1/3 + 2x + c
= 3x³/3 + 2x + c
= x³ + 2x + C
where C is the constant of integration
b.) x³ + 2x
Use the properties of integrals
That's
integral x³ + integral 2x
= x^3+1/4 + 2x^1+1/2
= x⁴/4 + 2x²/2 + c
= x⁴/4 + x² + C
c.) dx6x 5 + 5
Use the properties of integrals
That's
integral 6x^5 + integral 5
= 6x^5+1/6 + 5x
= 6x^6/6 + 5x
= x^6 + 5x + C
d.) x^6 + 5x
integral x^6 + integral 5x
= x^6+1/7 + 5x^1+1/2
= x^7/7 + 5/2x² + C
Hope this helps
Write the prime factorization of 24. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answer:
2•2•2•3
24 has factors 2 and 12
12 has factors 2 and 6
6 has factors 2 and 3
Work out percentage change to 2 decimal places when a price of £97 is increased to £99.99
Answer:
2.99
Step-by-step explanation:
99.99 - 97 = 2.99
The percentage change to 2 decimal places when a price of 97 is increased to 99.99 is 3.08%
What is percentage change?
Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage.
Percentage Change Formulapercentage change formula = [tex]\frac{final value - initial value }{Initial value}[/tex]× 100
According to the given question
We have
initial value = 97
final value = 99.99
therefore,
⇒percentage change = [tex]\frac{99.99-97}{97}[/tex]× 100
⇒percentage change = [tex]\frac{2.99}{97}[/tex]×100
⇒percentage change = 0.0308×100=3.0824
⇒percentage change = 3.08%
Hence, the percentage change to 2 decimal places when a price of 97 increased to 99.99 is 3.08%.
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The tables show the number of chin-ups done by students in two different gym classes.
Answer:
On average, students in the 4th period Did more chin-ups than students in the 2nd period.
The water was pumped out of a backyard pond. What is the domain of this graph?
Geometry please help. What is the perimeter of XYZ
Answer:
39
Step-by-step explanation:
Angle AQC, AQB and BQC are 120deg. (360/3=120). Therefore, Angle BZC, CXA and AYB are 60deg. Because, angle BZC is half of angle BQC. same for the other three angles. As, all 3 angles are 60deg, it is an equilateral triangle. So, YZ is 13 therefore as all 3 sides are equal its 13*3=39.
The solution is: 39 is the perimeter of XYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
Angle AQC, AQB and BQC are 120deg.
(360/3=120).
Therefore, Angle BZC, CXA and AYB are 60deg.
Because, angle BZC is half of angle BQC.
same for the other three angles.
As, all 3 angles are 60deg, it is an equilateral triangle.
So, YZ is 13
therefore as all 3 sides are equal
its 13*3=39.
Hence, 39 is the perimeter of XYZ.
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Dominics two daughters both want to take gymnastics this year. It cost 90 per month per child. How much dose dominic need to budget for a year ( 12 months) of gymnastics for both daughters
Answer:
$2,160 is what he need for both daughters for 1 year
Step-by-step explanation:
90 x 2 = 180
180 x 12 = 2,160
Dominic need to budget a total of 2160 for a year of gymnastics for both daughters.
What is Multiplication?Multiplication is one of the basic mathematical operations which includes a number added repeatedly to times of the other number. The final answer is called the product of the numbers.
Multiplication is usually denoted as '×' sign.
a × b indicates that a is added repeatedly upto b times.
Cost for the gymnastics per month per child = 90
In order to find the cost per month for both daughters, we need to multiply 90 with 2.
Cost for the gymnastics per month for 2 daughters = 2 × 90 = 180
To find the total cost for an year, we need to multiply 180 with 12.
Total cost for the year = 180 × 12 = 2160
Hence the total budget for Dominic to send both the daughter in a year is 260.
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A fitness center is interested in finding a 95% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 246 members were looked at and their mean number of visits per week was 2.2 and the standard deviation was 2.6. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a ? distribution.
b. With 95% confidence the population mean number of visits per week is between and visits.
c. If many groups of 246 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week
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Here is your expert answer. If you do like this accurate answer. Please Mark as Brainliest !
New question! What's the average of 156218 and 8162336
Answer:
4159277
Step-by-step explanation:
156218 and 8162336
Add the two numbers and divide by 2
(156218 + 8162336)/2 =
8318554/2=
4159277
Answer:
4159277
Step-by-step explanation:
156218+8162336
=8318554
8318554 divided by 2 = 4159277
you add both numbers and divide by how many you added
Carly owns a T-shirt shop. She pays $2.25 for each shirt.
Carly prints a picture on each shirt. The printing costs
her $1.00 per shirt. She sells the shirts for $10.50 each.
How much is the markup on each shirt?
Answer:
Total number of T-shirts= 200
Cost per T-shirt (without shipping ) = $2.80
Shipping cost per t-shirt ; 5% of a T-shirt = 0.05 *2.80 = $0.14
Total cost of T-shirt (shipping included) = 2.80 +0.14 = $2.94
Markup = 150% of total cost = 1.50 * 2.94 = $4.41
To get the price at which Michelle will sell each T-shirt , add total cost to the markup; 2.94 +4.41 = 7.35.
Therefore, selling price will be $7.35
The total amount of deductions from an employee’s gross pay is $83.20. If the gross pay is $378.18, what percent of their gross pay is being withheld? a. 21% b. 22% c. 23% d. 24%
Answer: B. 22%
Step-by-step explanation:
Answer:
Yeah its 22%
Step-by-step explanation:
Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordless, and the other six are corded phones. Suppose that these components are randomly allocated the numbers 1, 2, . . . , 18 to establish the order in which they will be serviced. (Round your answers to four decimal places.)
(a) What is the probability that all the cordless phones are among the first twelve to be serviced?
(b) What is the probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced?
(c) What is the probability that two phones of each type are among the first six serviced?
Answer:
a) 0.0498
b) 0.1489
c) 0.1818
Step-by-step explanation:
Given:
Number of telephones = 6+6+6= 18
6 cellular, 6 cordless, and 6 corded.
a) Probability that all the cordless phones are among the first twelve to be serviced:
12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂
Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.
The possible ways of selecting thr remaining 6 telephones = ¹²C₆
Probability of servicing all cordless phones among the first twelve:
= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)
[tex] = \frac{1 * 924}{18564} [/tex]
[tex] = 0.0498 [/tex]
b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:
Here,
One type must be serviced first
The 6 remaining to be serviced can be a combination of the remaining two types.
Since there a 3 ways to select one type to be serviced, the probability will be:
= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂
[tex] = \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}[/tex]
[tex] = \frac{2766}{18564} [/tex]
[tex] = 0.1489 [/tex]
c) probability that two phones of each type are among the first six:
(⁶C₂)³/¹⁸C₆
[tex] \frac{3375}{18564}[/tex]
[tex] =0.1818 [/tex]
Please help I will mark brainliest for first answer!
Answer:
C.
Step-by-step explanation:
Step 1: Multiply jar weights
12(10) = 120 oz
Step 2: Convert lbs to oz
16 + 14 = 30 oz
Step 3: Add weights
150 oz
Step 4: Convert to lbs
150/16 = 75/8 = 9.375 lbs
9.375 lbs = 9 lbs 6 oz
Anyone know how to solve 7 and 11
Answer:
7. f⁻⁻¹(x)=x-3 11. f⁻⁻¹(x)= 2x/(1-x)
Step-by-step explanation:
to find the inverse of an expression:
1. change f(x) to y.
2. switch the x and y values.
3. solve to find y.
So....
7.) f(x)=x+3 11.) f(x)= x/(x+2)
y=x+3 y=x/(x+2)
x=y+3 x=y/(y+2)
f⁻⁻¹(x)=x-3 f⁻⁻¹(x)= 2x/(1-x)
17. Write the greatest and the smallest 4-digit numbers using four different digits
with the conditions as given:
( Digit 7 is always at units place.
Answer:
Greatest number = 9867
Smallest number = 1027
Step-by-step explanation:
Greatest number:
- - - 7
In order to form the greatest number, we should simply put the greatest available digit at the thousands place, the second greatest at the hundreds place and the third greatest at the tens place (which would be 9, 8, and 6 respectively).
9867
Smallest number:
- - - 7
In order to form the greatest number, we should simply put the lowest available digit at the thousands place (excluding zero since a number can't start with a zero), put zero at the hundreds place and the third lowest at the tens place (which would be 1, 0, and 2 respectively).
1027
A scooter runs 40 km using 1 litre of petrol tje distance covered by it using 15/4 litres of petrol is
Answer:
150 km
Step-by-step explanation:
1 liter ............ 40 km
15/4 liter .........x km
x = 15/4×40/1 = 600/4 = 150 km
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Answer:
The picture on the bottom right.
Step-by-step explanation:
There are eight compartments and seven of it is shaded and the other one five of the eight compartments are shaped.
I hope this helps :)
what is the y-coordinate of point 7? Write a decimal coordinates.
Answer:
The y-coordinate is -4.5
Step-by-step explanation:
Point has x-coordinate -3 and y-coordinate -4.5.
Answer:
the y-coordinate is -4.5
Step-by-step explanation:
the x-coordinate is -3
the y-coordinate is in between -4 and -5. from here one can assume it is half way unless there is information that has not been stated.
In between -4 and -5 is -4.5 so the y-coordinate is -4.5
the coordinate of point 7 is ( -3, -4.5)