A group of pupils take a test. The group consists of 28 boys and 24 girls.
The mean mark for the boys is 28. The mean mark for the girls is 14.
Calculate the mean mark for the whole group.
Give your answer correct to 1 decimal place.

Answers

Answer 1

Answer:

21.5 to 1 decimal place.

Step-by-step explanation:

The total number of marks for all the boys = 28*28 = 784 marks.

The total number of marks for all the girls   = 24*14  = 336 marks.

So the mean mark for the whole group  

= (784+336) / (28+24)

= 1120 / 52

= 21.538


Related Questions

On a map. 1 inch equals 10 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.​

Answers

Answer:

20 mile

Step-by-step explanation:

One inch is equivalent to 10 miles. Given this comparison in regards to scale, 2 inches would simply be 2 times that. In basic terms, 2 times or inches multiplied by each 10 mile increment would be stated as 2 inches x 10 miles, resulting in a 20 mile distance between the two cities.

to win at lotto in one state one must correctly select 7 numbers from a collection of 57 numbers. how many different selections are possible

Answers

57C7, the answer is 264,385,836 different selections

2. Determine the value of x for which r l s if
.
m<1 = 40 - 4x; and
m<2 = 50 - 8x.
A. 1.5
B. 2
C. 30
D. 2.5

Answers

Answer:  x = 2.5   (choice D)

Explanation:

If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.

This means we'll set the angles equal to one another and solve for x.

angle1 = angle2

40-4x = 50-8x

-4x+8x = 50-40

4x = 10

x = 10/4

x = 2.5

Can someone answer theese questions I WILL GIVE BRAINLIST and thanks and a 5 star if they are correct

Answers

The first question I think it’s A because 1.13 is larger than 1.2
I hope this helps

PLEASE HELP PLEASE HELP PLEASE

Answers

Answer:

1:1

Step-by-step explanation:

You conduct a survey that asks 350 students in your class about whether they prefer pizza or chicken for school lunch. One hundred eighty-nine males respond, 95 of which prefer pizza. Fifty-two females prefer the chicken. Part A: Organize the results in the two-way table provided. Male Female Total Pizza Chicken Total 189 161 350 Part B: What percent of females like the pizza?

Answers

El oh Elllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Find the missing length

Answers

Apply Pythagorean theorem

H²=P²+B²x²=14²+10²x²=196+100x²=296x=17.8

If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)

Answers

--

the probability of getting one head and one tail on the toss of two coins is 0.5percent chance

find tan0 please help fast!

Answers

Answer:

Tan(51.06) = 1.24 so the correct answer is A

Step-by-step explanation:

Sin0 = 7/9

0 =Arcsin(7/9)

0 =51.06

So,

Tan(51.06) = 1.24 so the correct answer is A

Answer:

A. [tex]\frac{7\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Finding the missing side :

7² + x² = 9²

x² + 49 = 81

x² = 32

x = 4√2

Taking the tan value :

tanθ = 7/(4√2)

tanθ = 7(4√2)/4√2(4√2)

tanθ = 28√2/32

tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]

The swimming pool at Spring Valley High School is a rectangle with a width of 60 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Which expression represents the area of the tiled floor?

A. (2w2 + 90w) m2
B. (6w2 + 120w + 875) m2
C. (4w2 + 180w + 1800) m2
D. (4w2 + 180w) m2

Answers

Answer:

d.  (4w2 + 180w) m2

Step-by-step explanation:

Area of tiled floor = (area of tiled floor+ pool ) - area of pool

area of pool =l x b = 30 x 60 =1800  ...............a

length of pool + tiled floor = 30+2w

breadth of pool + tiled floor = 60+2w

Hence, (area of tiled floor+ pool ) =

(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b

b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w

And a recent year 28.1% of all registered doctors were females if there were 42,000 female registered doctors at your what was the total of registered doctors?

Answers

Answer:

Step-by-step explanation:

Discussion

This is a proportion question. A proportion is 2 ratios separated by an equal sign.

If you know three of the components you can solve for the fourth.

Givens

28.1 % are females

42000 are female doctors.

100% is what is required.

Equation

28.1% / 100% = 42000 / x                  Cross Multiply

28.1 * x = 42000 * 100                        Combine

28.1 * x = 4200000                             Divide by 28.1

28.1/28.1 x = 4200000/28.1

x  = 149466 is the total doctors

Answer

149366 is the total number of doctors.


Which of these decimals is the smallest?
0.38
0.376
0.3745
0.375

Answers

Answer .3745
Reasoning

.38 is hundredths
.375 and .376 are thousandths
.3745 is ten thousandths - the smallest unit of the choices. See picture for further visual on the smallest decimal

I don’t understand and I need the answer

Answers

Answer:

y2 + 2y + 80

Step-by-step explanation:

Hope this helpd :) Mark brainliest?

Answer:-21

Step-by-step explanation:

-21 i think but im pretty sure

please help me i don't understand

Answers

I think this is the answer see
the photo

If f(x) = 2x − x² + 3, find f(x − 4).

Answers

Answer:

−x^2+10x−21

Step-by-step explanation:

Hope this helped you! If this is wrong, please tell me and have a good day!

If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?

Answers

Answer:

like a 85 hop this helps I'm so sorry have a good day stay safe

Answer:

your grade will be 166%.

Step-by-step explanation:

First I subtract 86-50=36.

second I add 100+30=130.

total is 130+36=166%

Is q = 5 a solution to the inequality below? q ≤ 8

Answers

Answer:

brainly please

Step-by-step explanation:

yes because 5 is less than 8

Answer:

No, the correct solution is q < 8 because 5 can not be equal to 8 but rather less than 8 (only)

solution for this one step by step please

Answers

Answer:

[tex]D.\:\:\:\:\:\sec^4\theta[/tex]

Step-by-step explanation:

[tex]\frac{1+\tan^2\theta}{\cos^2\theta}[/tex]

[tex]=\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)[/tex]

[tex]=\sec^2\theta.\frac{1}{\cos^2\theta}[/tex]

[tex]{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)[/tex]

[tex]=\sec^4\theta[/tex]

Hope it helps you in your learning process.

Answer:

D

Step-by-step explanation:

using the identities

1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then

[tex]\frac{1+tan^20}{cos^20}[/tex]

= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]

= sec²Θ × sec²Θ

= [tex]sec^{4}[/tex]Θ

A particular candle gives out 4 lumens more light than the average. The standard deviation is 3 lumens. What
percentage of candles give out more light than this one?

Answers

It gives 25% more, as 25 x 4= 100%.

At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.

Answers

Answer:

2-point shots = 41, 1-point shots = 16

Step-by-step explanation:

Let the number of 1-point shots is x and 2-points shots is y.

The system as per question is

x + y = 571*x + 2*y = 98

Solve it by elimination, subtract the first equation from the second

x + 2y - x - y = 98 - 57y = 41

Find the value of x

x + 41 = 57x = 16


Jeremy is x years old. He is 5 years younger than his sister. Together, the sum of their ages is 29 years.
Enter an equation that can be used to find Jeremy's age (x).

Answers

5 + x = 29

If you need me to solve it I’ll do it

Isaiah’s Ice Cream Shoppe has 12 different toppings to choose from for their famous sundaes. A customer is allowed to choose any combination of 3 toppings free of charge.

How many different combinations of 3 toppings can be made from the 12 options?

Answers

Answer:

36 different combinations

Which expression is not equivalent to −4x3+x2−6x+8?

Answers

The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The expression given in the problem is

f(x)=-4x³+x²-6x+8

The option given as,

(1) x² (-4x+1)-2(3x-4)(2) x(-4x²- x + 6) + 8(3) -4x³ + (x - 2)(x - 4)(4) -4(x³ - 2) + x(x - 6)

From the given expression, if we take out x from the first three terms, it looks like option 2.

f(x)=-4x³+x²-6x+8

f(x)=x(-4x²+x-6)+8

From the given expression, if the last three terms factored, it looks like option 3.

f(x)=-4x³+x²-6x+8

f(x)=-4x³+x^2-4x-2x+8

f(x)=-4x³+x(x-4)-2(x-4)

f(x)=-4x³+(x-4)(x-2)

Rearrange the given expression, and make it looks like option 4.

f(x)=-4x³+x²-6x+8

f(x)=-4x²+8+x²-6x

f(x)=-4(x³-2)+x(x-6)

Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

#SPJ1

An invasive species has an initial population of 20 organisms. In five years it’s population has grown to 130. Assuming exponential growth, how many years will it take its population to reach 5,000?

Answers

The 15 years it will take its population to reach 5,000 if  initial population of 20 organisms.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's assume the exponential growth is:

[tex]\rm y = Ae^{rt}[/tex]

From the problem:

[tex]\rm 130 = 20e^{5r}[/tex]

[tex]\rm e^{5r}= 6.5[/tex]

Taking ln both side:

We get:

r = 0.374

[tex]\rm 5000 = 20e^{0.374t}[/tex]

After solving, we get:

t = 14.76 ≈ 15 years

Thus, the 15 years it will take its population to reach 5,000 if  initial population of 20 organisms.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5

Answers

Step-by-step explanation:

4x-1

x+-×+1=5

×-5

there are no terms like that

HELP! PLEASE! I will mark you brainalist!!!!!

Answers

Answer:

Step-by-step explanation:

Problem a

a is an isosceles triangle. It has 2 sides marked as equal. Therefore the two angles marked in red are also equal.  

The top angle = x

x + 70.5 + 70.5 = 180      All triangles have 180 degrees.

x + 141 = 180                    Subtract 141 from both sides

x + 141-141 =180 - 141       Combine

x = 39

c + 39 + 87.2 =180           Combine the left

c + 126.2 = 180                 Subtract 126.2 from both sides

c+126.2-126.2 = 180-126.2

c = 53.45

Answer: 53.45

Problem B

Comment

Problem b can only be found by taking the supplements of the two given angles. After that is done, the vertically opposite angle to d can be found because d is opposite the third angle.

Supplement of 115.6

Call the supplement = y

y + 115.6 = 180                         Supplementary angles = 180 degrees

y +115.6-115.6 = 180 - 115.6     Combine

y = 64.2

Now we need the supplement of 99.9

Call the supplement = z

z + 99.9 = 180                           Supplementary angles = 180

z+99.9-99.9 = 180-99.9

z = 80.1

Now subtract y + z from 180

180 - 64.2 - 80.1 = x

x = 35.7

x is opposite d

d = x

d = 35.7 degrees.

Answer

d = 35.7

PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14

Answers

|x|>14

Case 1

x>14

Case 2

-x>14x<-14

Option A

It's impossible thing

What is the median of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3

Answers

Answer:

[tex]2.75[/tex]

Step-by-step explanation:

Step 1:  Determine the median

[tex]0.8, 1.0, 2.7, 2.8, 3.1, 13.3[/tex]

The median of a set is the middle of the set.  In this instance, we have 6 numbers so we don't have a number directly in the set representing the median.  Instead, we need to find the average or middle between the 3rd and 4th number.  So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.

Answer:  [tex]2.75[/tex]

There are 6 numbers in the list. So you will need to find the average of the 3rd and 4th value which is 2.7 and 2.8. To find the average you need to add 2.7 and 2.8 which is 5.5 and then divide by 2 which is 2.75

Answer is 2.75

Anybody know this? Please and thankyou!

Answers

Answer:

log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]

Step-by-step explanation:

log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]

Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal

Answers

Answer:

D. Coal.

Step-by-step explanation:

Doesn’t really affect the earth in any way.

Other Questions
How did the Tuskegee Airmen program change the armed forces forever?a. It led to the 99th Squadron of the U.S. Army Air Corp.b. It led to 1,578 completed missions.c. It led to the civilian training program.d. It led to the integration of the armed forces Please help me with this I would give you 50 points. Your opinion on brush A fair coin is flipped 120 times. Estimate the expected number of heads. 1. Are the side lengths congruent?2. Are the opposite sides parallel?3. Are the adjacent sides perpendicular?4. The most specific name for this quadrilateral is: 3/ The trophic levels in ecosystem are labeled as A, B and C3HeatHeatBAConsumersSunProducersDecomposersInorganicNutrientPoolHeatWhich option is correct about the trophic levels?A The Chas more energy available to it than the B. B. The C uses cellular respiration to obtain energy.C. The A builds simple compounds from complex D. The B are the most essential components of theunitsecosystem who wanted Huey Long out of power? In a short answer of two to three sentences, differentiate between the role of law enforcement and the corrections system in Georgia's adult justice system. Tickets to the play cost $5.00 for adults and $3.00 for kids. The play sold 20 tickets for a total of $76. How many kids and adults attended the play? Find the length of the third side. If necessary, write in simplest radical form.27418 witchh organsim primary cosumers please help! the questions are in the photo. Paul went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. paul has had good luck at blackjack in the past, and he actually got three blackjacks with kings in a row the last time he played. because of this lucky run, paul thinks that kings are the luckiest card. the dealer deals the first card to him. in a split second, he can see that it is a black card, but he is unsure if it is a king. what is the probability of the card being a king, given that it is a black card? answer choices are in a percentage format, rounded to the nearest whole number. two parallel lines are cut by a transveral. if the measure of 1 is 45 degrees, what is the measure of 5 1351804590 A researcher posts a newspaper advertisement offering $20 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement. Which of the following statements is true about the sample?A. It is not a valid sample because it is only a short study. B. It is a valid sample because money was offered to participants. C. It is a valid sample because the first five people were selected to participate. D. It is not a valid sample because it is not a random sample of the population. Why do fireworks produce heat when they explode? what is a net income. factor 6x(x + 12) 15(x + 12) Which method can be used for making a robot perform a different set of functions? a. changing a robot's sensorsb. dismantling a robot c. creating a new robot d. rewriting software Consider the equation 5 3(2x 7) = 12 5(x 2). Is x = 2 a solution to thisequation? Is x = 4 a solution to this equation?