Answer:
24.25 years
Step-by-step explanation:
We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.
We have: 21 = [tex]\frac{sum}{5}[/tex]
sum = 21 · 5 = 105
Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.
Therefore, the average age of the 4 remaining girls is [tex]\frac{97}{4} = 24.25[/tex] years.
Hope this helps!
Answer:
24.25
Step-by-step explanation:
Since the average of 5 girls is 21, there total age is 105 (21*5)
If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25
Hope this helps you!
Help I can’t fail plz help
Is 5x + 2 a numerical expression?
Answer:
Yes
Step-by-step explanation:
Yes, this is a numerical expression because x represents a number. This number is unknown, so x = 1 --- 5x (1) + 2 is equivalent to 5x + 2. 5x (1) +2 is a numerical expression, SO that means that 5x + 2 is a numerical expression.
Pls solve... will give brainliest... linear inequality
18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras 18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras?
Answer:
504 kilos de manzanas fueron llevados a la escuela.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex] la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:
Total de cajas
[tex]x+y = 18[/tex] (1)
Masa de cada caja de peras
[tex]y\cdot m_{P} = 210[/tex] (2)
[tex]y = 6[/tex] (3)
Masa de caja de manzanas
[tex]m_{M} = m_{P}+7[/tex] (4)
De (2) en (3), tenemos que la masa de cada caja de peras es:
[tex]m_{P} = 35\,kg[/tex]
Por (4), encontramos que la masa de cada caja de manzanas es:
[tex]m_{M} = 35\,kg+7\,kg[/tex]
[tex]m_{M} = 42\,kg[/tex]
Finalmente, de (1) tenemos la cantidad de cajas de manzana:
[tex]x = 18-y[/tex]
[tex]x = 12[/tex]
La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:
[tex]M = (12)\cdot (42\,kg)[/tex]
[tex]M = 504\,kg[/tex]
504 kilos de manzanas fueron llevados a la escuela.
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?
Answer:
36
Step-by-step explanation:
Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12
The only number within the given range is 36
The number of students should be in the class should be considered as the 36.
Calculation of the number of students:Since
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
So here the total ratio should be like
= 5 + 7
= 12
So here the number of students should be divisible by 12
So, it should be 36
Learn more about ratio here: https://brainly.com/question/13111469
Last year ten examiners spent 6 hours marking all the exam papers.
This year the same process took only three hours.
How many examiners were there this time if they marked the same set of papers at the same rate?
Answer: 20 examiners.
Step-by-step explanation:
We know that 10 examiners need 6 hours to mark all the papers.
Then if R is the rate at which one examiner can mark all the papers, we have the equation:
(10*R)*6h = marking all the papers = 1
(i will use the 1 to represent the complete task)
then we have:
(10*R)*6h = 1
60h*R = 1
R = 1/60h
This means that only one examiner would need 60 hours to mark all the papers.
This time, we have N examiners, and they marked the same amount of papers in 3 hours, then we have thee equation:
(N*R)*3h = 1
(N*1/60h)*3h = 1
N*(3h/60h) = 1
N*(1/20) = 1
N = 1/(1/20) = 20
N = 20
This time, there are 20 examiners.
Which expression shows how 8⋅54 can be rewritten using the distributive property?
8⋅50+8⋅4
8⋅50+8⋅54
4⋅50+4⋅4
50⋅8+50⋅4
Answer:8 * 54 = 8 * 50 + 8 * 4 = 8(50 + 4)
Step-by-step explanation:
Does octane matter? Some people believe that higher octane fuels result in better gas mileage for their cars. To test this claim, a researcher randomly selected 11 individuals (and their cars) to participate in the study. Each individual was given 10 gallons of 87-octane fuel and 10 gallons of 92-octane fuel. The number of miles each driver was able to drive until they ran out of gas with each type of fuel is recorded below.
Complete Question
The government believes that higher-octane fuels result in better gas mileage for their car. To test this claim, a researcher randomly selected 11 individuals to participate in the study. Each participant received 10 gallons of gas (87-octane and 92-octane) and drove his car on a closed course. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled up with 87-octane first or92-octane first, and the driver did not know which fuel was in the tank.
We conducted a paired t-test to see if higher-octane fuels result in better gas mileage, and the test statistic was found to 1.74.
Calculate the p-value.
Answer:
The p-value is [tex]p-value = 0.0562[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 11
The test statistics is [tex]t = 1.74[/tex]
The null hypothesis is [tex]H_o : \mu _1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu _1 > \mu_2[/tex]
Here [tex]\mu_1[/tex] is the gas millage for 87-octane fuel while
Here [tex]\mu_2[/tex] is the gas millage for 92-octane fuel
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
[tex]df =10[/tex]
Generally from the student t -distribution table the probability of t = 1.74 at a degree of freedom of [tex]df =10[/tex] is
[tex]p-value = P( t > 1.74) = 0.0562[/tex]
What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 squared ? (6 points)
4 y cubed over 5 x to the fourth power
4 y to the fourth power over 5 x cubed
5 x to the fourth power over 4 y cubed
5 x cubed over 4 y to the fourth power
Answer:
5 x to the fourth power over 4 y cubed
Help Me Find The Inequality of the graph
Is the answer a, b, c, or d
Answer:
Step-by-step explanation:
B
Answer:
d 11x + 24
Step-by-step explanation:
Perimeter = 5x + 3 + 2x + 6 + 4x + 15
= (5x + 2x + 4x) + (3 + 6 + 15)
= 11x + 24
Which geometric series converges?
A. 1/5 + 2/5 + 4/5 + 8/5 +...
B. 1/5 + 6/5 + 36/5 + 216/5 +...
C. 1/5 + 2 + 20 + 200 +...
D. 1/5 + 1/20 + 1/80 + 1/320 +...
Answer:
D. 1/5 + 1/20 + 1/80 + 1/320
Step-by-step explanation: i got you bro
Answer:
answer is D
Step-by-step explanation:
Mias mom paid 22.50 for 5 pizzas for a family
What is the rate for cost per pizza ...
What’s the unit price ...
Solve it in algebraically
y= 4x – 11
y=-8x + 13
Answer:
y=4x−11
Step 1: Flip the equation.
4x−11=y
Step 2: Add 11 to both sides.
4x−11+11=y+11
4x=y+11
Step 3: Divide both sides by 4.
[tex]\frac{4x}{4}[/tex] = [tex]\frac{y+11}{4}[/tex]
x= [tex]\frac{1}{4} y[/tex] + [tex]\frac{11}{4}[/tex]
y=-8x + 13
Step 1: Flip the equation.
−8x+13=y
Step 2: Add -13 to both sides.
−8x+13+−13=y+−13
−8x=y−13
Step 3: Divide both sides by -8.
[tex]\frac{-8x}{8}[/tex] = [tex]\frac{y- 13}{-8}[/tex]
x= [tex]\frac{-1}{8}y[/tex] + [tex]\frac{13}{8}[/tex]
Nico rolled two number cubes 250 times. use the complement to find the experimantal propability of not rolling a 3 on the blue number cube, NC2.
Answer:
the probability is 0%
Step-by-step explanation:
is there options like
A
B
C
options
Just the answer choices, not the box.
Answer:
the first one
Step-by-step explanation:
its the first one since you can be exactly 42 inches to ride the crazy carts
Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is $6.00 and a small lemonade is $2.00. The expression represents 50% of the money he collects. 0.50(6l + 2s) Use the Distributive Property to expand the expression. The simplified expression is
Answer:
3l + 1s
Step-by-step explanation:
Given that:
The expression to represent 50% of the money collected : 0.50(6l + 2s)
Expanding the expression :
0.50(6l + 2s)
(0.50 * 6l) + (0.50 * 2s)
3l + 1s
Hence, the simplified expression is 3l + 1s
Which is the solution of set?
Answer:
the answer is x >0 hope this helped
HELPPP PLEASEEEEEEEEE
I WILL MARK BRAINLIEST Charla is finding points on a number line.
Which point could represent ?
A
B
C
D
Kiesha and her classmates wrote proportions for the reduction of a triangle.
A larger and smaller triangle have corresponding heights and bases.
Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Answer: A, B, and D are correct!
Step-by-step explanation:
Hope this helps! :)
The three proportions that are set up correctly for the reduction of a triangle are:
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Options 1, 2, and 3 are correct.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The three proportions that are set up correctly for the reduction of a triangle are:
1)
original height / original base = reduction height / reduction base
This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.
2)
original height / reduction height = original base / reduction base
This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.
3)
original height / reduction base = reduction height / original base
This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.
Thus,
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Learn more about triangles here:
https://brainly.com/question/25950519
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Find the value of Y, 14 points
Answer:should be 125°
Step-by-step explanationz, y, and x make a 180° line. 52+3=55 and subtracting that from the total 180°gives you 125
Answer:
y = 8
Step-by-step explanation:
1. subtract 52° from 180° to get the value of the obtuse angle
2. that leaves you with 128° and now you subtract from 180° again bc the angles of a triangle always add up to 180° and so you have 52° now
3. the two angles you dont have add up to 52° and from here you write the equation 3y + 4y - 4 = 52
4. combine like terms to simplify the equation so you have 7y - 4 = 52.
5. add 4 to both sides so you get 7y = 56 nd then divide both sides by 7 leaving you with y = 8
What is the place the 8 is in in the number 38,341,097.54
Which of the following tables represents a proportional relationship?
A.
x 2 3 4 5
y 3 6 9 12
B.
x 2 4 6 8
y 3 4 5 6
C.
x 1 4 7 10
y 0 3 6 9
D.
x 2 4 6 8
y 3 6 9 12
Answer:
Step-by-step explanation:
the answers c
This bottle contains 200 mL of liquid plant food. What is the best estimate of how much the bottle can hold when it is filled to the FULL mark?
Answer: 1,000 ml
Step-by-step explanation:
From the looks of it, the 200ml mark is about a fifth of the volume needed to get to the FULL mark.
If 200 is ¹/₅, the full mark will be;
= 200/ ¹/₅
= 1,000 ml
Answer:
1000 ml
Step-by-step explanation:
hi could somebody help me im slow
Please answer these questions I will mark brainliest
Can someone pls help me :-(
Answer:
One: x = 3/32
Two: y = 3/10
Step-by-step explanation:
One
y = k*x
1/4 = k* 1/8 Multiply both sides by 8
8(1/4) = 8*k*(1/8)
8/4 = k
k = 2
=======================
3/16 = 2*x Divide by 2
3/32 = x
Two
y = 2/5
x = 1/3
2/5 = k * 1/3 Multiply both sides by 5
2 = 5*k * 1/3
2 = 5/3 * k Multiply both sides by 3
6 = 5 * k Divide both sides by 5
6/5 = k
y = 6/5 * x
x = 1/4
y = 6/5 * 1/4
y = 6/20 = 3/10
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Answer: its most likely p to the power of 6 :)
Step-by-step explanation:
Answer:
The answer for (p^3)^2 is p^6
Step-by-step explanation:
Hope this helps!
Plz, mark brainiest! ^.^
plsss I need help..i will remark ur answer as a brilliant answer
Answer:
9.3. your ans. nabsbss