Multiply the average by number of people:
84.5 x 4 = 338
This means the total of the 4 grades need to equal 338
To find Jonathan’s grade subtract the other 3 grades from 338:
338 - 86 - 92 -70 = 90
Jonathan’s grade was 90
2 easy questions for 35 points
Answer:
for question 5
(1) 9x > 3x + 6
6x > 6
x=1
(2) $100-$10=$90
$90/5=18
Joan would need to work 18 hours
for question 6
P+ (PRT)/100
475 + 475(8.5)(12)/100
475+484.5
= 959.5
I hope this helped you ;)
Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. The resulting interval is (22.96, 26.64). Which of the following correctly interprets the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay within one month?
90% of all chickens at this farm lay between 22.96 and 26.64 eggs.
In repeated sampling, 90% of the time the true mean number of eggs chickens at this farm lay is 24.8.
Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.
In repeated sampling, 90% of the time the true mean number of eggs laid by chickens from this farm will be captured within the interval (22.96, 26.64).
Answer:
C. Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.
Step-by-step explanation:
Edge 2021
which value is closest to 0 on a number line? A.12 B.|-12.5| C.-11.75 D.|12.1
Answer: -11.75
Step-by-step explanation: The distance is 11.75 units close to 0, compared to the 2nd closest which is A (12)
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
I need help with the question attached above in the picture
-19 2/9 -4 1/9-(-3 4/9) = ?
Answer:
I think its -19.9
Step-by-step explanation:
just break it down :)
_2. You have a part-time job 4 days per week, 5 hours per day. How many hours will you work in two weeks?
A) 10
B) 20
C) 40
D) 80
Answer:
C) 40
Step-by-step explanation:
For every one day your work is 5 hours.
1 day = 5 hours
Set up a proportion so it would be:
[tex]\frac{1 day}{5 hours} = \frac{4 days}{x hours}[/tex]
4 days x 5 hours = 20 hours/week
So now you know you know you work 20 hours/week, then multiply by 2 since they're asking how many hours will you work in two weeks:
20 hours x 2 weeks = 40 hours in two weeks
HELP PLEASE WILL MARK Brainliest. 20 POINTS!!
Answer:
Step-by-step explanation:
9 square + 4 square = c Square
81 + 16 = c Square
98 = c square
98 Square root = c
The answer is Acan you choose me brainliest?
The expression 3(x-9) is equivalent to
03(x)+9.
3(x)+3(9)
03(x) -9.
03(x) – 3(9)
Answer:
The expression equivalent to 3( x - 9) Is
3(x) - 3(9)
3x-27
The answer is D
3(x)-3(9)= 3x-27
Write this expression in simplest form.
Answer:
[tex]7c\sqrt23d[/tex]
The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?
Answer:
Balance in Zac's account = - $24.63
Step-by-step explanation:
Given:
Balance in Al's account = $32.60
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Zac's account = balance in Dee's account - $49.08
Find:
Balance in Zac's account
Computation:
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Dee's account = [3/4][32.60]
Balance in Dee's account = $24.45
Balance in Zac's account = balance in Dee's account - $49.08
Balance in Zac's account = $24.45 - $49.08
Balance in Zac's account = - $24.63
The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answer:
x = price of adult tickets = $7
y = price of students tickets = $6
Step-by-step explanation:
Let
x = price of adult tickets
y = price of students tickets
7x + 7y = 91 (1)
14x + 12y = 170 (2)
Multiply (1) by 2 to
14x + 14y = 182 (3)
14x + 12y = 170 (2)
Subtract (2) from (3) to eliminate x
14y - 12y = 182 - 170
2y = 12
y = 12/2
y = 6
Substitute y = 6 into (1)
7x + 7y = 91 (1)
7x + 7(6) = 91
7x + 42 = 91
7x = 91 - 42
7x = 49
x = 49/7
x = 7
x = price of adult tickets = $7
y = price of students tickets = $6
express 4.77777..... in the form of p/q
Answer:
[tex]\frac{43}{9}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 7 placed after the decimal point.
let x = 4.7777... → (1)
Multiply both sides by 10
10x = 47.7777.... → (2)
Subtract (1) from (2) thus eliminating the repeating 7
9x = 43 ( divide both sides by 9 )
x = [tex]\frac{43}{9}[/tex]
1 The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of the roof, to the nearest tenth of a foot, if the side lengths each measure 25 feet. In your final answer, include all necessary calculations. You may include a sketch as part of your work.
2 To determine the amount of roofing materials needed, the area of the roof's entire surface is calculated, including the ceiling of the garage. Considering the sketch of the roofing design, create a formula to model the area of the roof's entire surface. In your final answer, include all of your calculations.
3The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. In two or more complete sentences, explain how these changes affect the model for the area of the roof's entire surface.
4The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. Create a formula modeling the area of the roof’s surfaces that the contractor will be purchasing supplies for.
5 Use the formula you created in the previous question to calculate the area of the roof that the contractor will be purchasing supplies for, assuming that the side length of the triangular bases is 25 feet and the length of each rectangular face is twice its width.
try your best i really need help!!
Answer:
Step-by-step explanation:
Step-by-step explanation: As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.
See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.
Now, in ΔADB, we have
AD^2=AB^2-BD^2
AD^2=AB^2-(1/2AB^2)^2
AD=√3/4AB^2
we can find the height of any one of the roof's triangular bases.
2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a
2. if a=25 ft, then the height is √3/2a=√3/2*25=1.732/2*25=21.7(ft)
3. consider picture 2. Let the length of the roof be l feet.
one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l
the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2
so the total area of the roof is
4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al
5. so the area now is √3/2a^2 + 2al
6. now a=25 and l=2a=50
Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866
=3041.3 (ft squared)
Find the area of the circle.
25 yd
cuanto es la raiz cuadrada de 123
Answer:
11.0905365064
11.1 (rounded)
Step-by-step explanation:
[tex]\sqrt{123} =11.090[/tex]
Answer:
Step-by-step explanation:
11.0905365064
Al cine paraíso fueron el sábado 1.350 espectadores y el domingo 1.120 cuánto se recaudo si cada entrada costaba 540?
Answer:
1,333,800
Step-by-step explanation:
Spectators on Saturday = 1,350
Spectators on Sunday = 1,120
Total spectators = 1,350 + 1,120 = 2,470
Price per ticket = 540
So, we can calculate the total amount collected by using following formula,
Total amount collected = Total spectators × Price per ticket
By putting value, we get
= 2,470 × 540
= 1,333,800
hello whats this ? ill give brainliest
Answer:
congruent
Step-by-step explanation:
90+90=180
so not 0 or 270
and complementary means they add up to 90 and none of that is true
so it has to be congruent
Please helpppppp!!!!!!
Answer:
C.
Step-by-step explanation:
Which expressions are differences of squares?
Select each correct answer.
Answer:
First two are difference in squares.
81=9^2 225=15^2Answer:
The expression which denotes the differences of squares is
n² - 225
As here 225 is a square of 15.
Hope it will help :)❤
Tommy has 3 dogs. Last month, he bought 5 pounds of dog food for 7.95, 8 pounds of dog food for 12.72, and 15 pounds of dog food for 23.85, what is the constant cost of the dog food per pound?
Answer:
The constant cost of dog food is $1.59 per pound.
Step-by-step explanation:
Divide each pound by the cost and you get $1.59
CAN SOMEONE PLEASE HELP ME!!!
!!!
You went to the mall with $120 and spent $74. What percent was not spent?
Answer:
38.33
Step-by-step explanation:
Given: Total amount = 120, Amount used = 74
To find: percent that was not spent
Solution: Firstly, find how much is 74 out of 120. To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For this case, to convert 74 to a percentage, 74 x 100 = ...61.67%
Then, 100% - 61.67 = 38.33
PLEASE HELP ME IN GEOMETRY, IVE BEEN STUCK FOR HOURS!!!
Answer:
A
Step-by-step explanation:
the answer is A.
Hope this helps
one box has 16 apples. another box has 24 lemons. each apple weighs twice as much as each lemon. if a is the weight of the box of apples and b is the weight of the box of lemons, what is a/b?
Answer:
32/24
Step-by-step explanation:
16 times 2 is 32
The value of a/b is 4/3.
What is unitary method?The unitary method is used to find the value of a single unit from a given multiple.
One box has 16 apples.
One box has 24 lemons.
If 'a' is the weight of box of apples and 'b' is the weight of box of lemons.
As each apples weigh 2 times the lemon
Weight of box of apples= 16*2*b=32b
Weight of lemon box = 24b
So, a/b
=32b/24b
=32/24
=4/3.
Hence, value of a/b is 4/3.
Learn more about unitary method here:
https://brainly.com/question/23423168
#SPJ2
160 is what percentage of 40?
Answer:
400
Step-by-step explanation:
Answer:
400%
Step-by-step explanation:
If you meant what percentage 40 is of 160, its 25%
40/160= 1/4= 25%
160/40= 4/1= 400%
Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes. What is the ratio of Joe's frogs and snakes to hamsters?
Answer:
9:8
Step-by-step explanation:
According to the word problem, Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes.
The question is asking the ratio of Joe's frogs AND snakes TO hamsters.
To find out the ratio of frogs and snakes, add how many frogs there are to how many snakes there are.
6 + 3 = 9.
The last part of the equation should be obvious.
There are 8 hamsters.
Therefore, the ratio of Joe's frogs and snakes to hamsters is 9:8.
simplify 7y + 2x + 3x + 2y
Answer:
9y+5x
Step-by-step explanation:
To simplify you need to combine the numbers with like terms so this should be right.
Need help take your time and thank yoh
Answer:
(x - 3)(x - 12)
Step-by-step explanation:
Assuming you require to factor the expression
x² - 15x + 36
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 15)
The factors are - 3 and - 12, since
- 3 × - 12 = + 36 and - 3 - 12 = - 15 , then
x² - 15x + 36 = (x - 3)(x - 12) ← in factored form
Which situations are BEST modeled by an exponential function?
A)
The yearly depreciation of a car
B)
An investment compounded annually
The cost of screws sold by the pound,
D
The amount of sugar to make a pound of fudge,
E)
The annual growth rate of a city's population