In a school choir there is 1 boy for every 4 girls. There is a total of 11 boys. How many girls are in the choir.

Answers

Answer 1

Answer:

44 Girls

Step-by-step explanation:


Related Questions

i need a step by step explanation

Answers

Answer:

1/2c-4

Step-by-step explanation:

First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.

A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.

Answers

Answer:

a

The decision rule  is  

Reject the null hypothesis

  The conclusion is  

There is sufficient evidence to show that there is a difference between the performances of these two models

b

The  95% confidence interval is  [tex] 0.224   <  \mu_1 - \mu_2  < 2.776  [/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  36

    The first sample mean is  [tex]\= x_1 = 11.4[/tex]

    The first standard deviation is  [tex]s_1 = 2.5[/tex]

    The second sample mean is   [tex]\= x_2 = 9.9[/tex]

     The second standard deviation is  [tex]s_2 = 3.0[/tex]

      The level of significance is  [tex]\alpha = 0.05[/tex]

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]

=>    [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]

=>     [tex]z = 2.3[/tex]

From the z table  the area under the normal curve to the left corresponding to  2.3 is  

       [tex]P( Z > 2.3 ) = 0.010724[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P( Z > 2.3 )[/tex]

=>    [tex]p-value = 2 * 0.010724[/tex]

=>    [tex]p-value = 0.02[/tex]

From the value obtained we see that  [tex]p-value < \alpha[/tex] hence  

The decision rule  is  

Reject the null hypothesis

  The conclusion is  

There is sufficient evidence to show that there is a difference between the performances of these two models

Considering question b

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]

 => [tex]E = 1.96  *    \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}}  [/tex]

  => [tex]E = 1.276   [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]( \= x_1 - \= x_2) -E <  \mu_1 - \mu_2  < ( \= x_1 - \= x_2) + E [/tex]

=>  [tex]( 11.4 - 9.9 ) -1.276  <  \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276   [/tex]

=>  [tex] 0.224   <  \mu_1 - \mu_2  < 2.776  [/tex]

Solve the equation. Then check your solution.

- 2/5 + a = 1/5

a. 3/5
b. - 1/5
c. 3/10
d. - 3/5​

Answers

Answer:

3/5 is the correct answer of the question

Answer:

The answer is

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Let's solve this equation!

[tex] - \frac{2}{5} + a = \frac{1}{5} \\ \frac{ + \frac{2}{5} \: \: \: \: \: \: = + \frac{2}{5} }{a = \frac{3}{5} } [/tex]

Here we go someone help me with this!

Answers

Answer:

I think they are-

Step-by-step explanation:

I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-

Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?

Answers

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

I need the answer ASAP

Answers

Answer:

the are is 14

brainliest??

Step-by-step explanation:

Answer:

48ft

Step-by-step explanation:

Hope this helps. :)

x =0, y>=0 Maximum for P =3x +2y

Answers

Answer:

day

Step-by-step explanation:

6th grade and the final grade for this semester and the

Question 2 (5 points)
(01.01 LC)

Which rational number equals 0 point 1 with bar over 1? (5 points)

Question 2 options:

1)

1 over 11

2)

1 over 10

3)

1 over 9

4)

1 over 8

Answers

Answer:

3. 1 over 9 is the correct answer

Answer:

option 3 is correct.

hope it helps

40 Points answer fast
I will mark brainliest answer quickly
A carton has a length of fraction 2 and 1 over 4 feet, width of fraction 1 and 3 over 5 feet, and height of fraction 2 and 1 over 3 feet. What is the volume of the carton?

A: 4 and 1 over 3 cubic feet

B: 4 and 2 over 5 cubic feet

C: 8 and 1 over 4 cubic feet

D: 8 and 2 over 5 cubic feet

Answers

The correct answer is D

Answer:

c

Step-by-step explanation:

hope it helps

find the angle measure of minor arc MP.

Answers

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle

Ariane borrows $200 on a 2−year loan. She is charged 5% simple interest per year. How much interest is she charged for 2 years? What is the total amount she has to pay back?

Answers

Answer:

Interest charged over two years: $20

Total amount: $220

Step-by-step explanation:

The formula for simple interest is A = P ( 1 + rt ).

A = 200 ( 1 + (0.05 * 2))

A is the total amount ( interest + principle )

A = 220

P is the principle ( initial amount deposited )

P = 200

R refers to rate (in percent)

R = 0.05

T = time period (in years)

T = 2

Can someone please help me ?

Answers

Answer:

Option c is correct

Step-by-step explanation:

Y =mx+c

Where m=2/3

c= 8/3

Answer:

the third option is the right answer

Step-by-step explanation:

y = mx+c

m is the slope

c is the y-intercept

compare the below equations:

[tex]y = mx + c[/tex]

[tex]f(x) = \frac{2}{3} x + \frac{8}{3} [/tex]

[tex]m = \frac{2}{3} \: and \: c = \frac{8}{3} [/tex]

Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?

Answers

Answer:

Y=3.68x

Step-by-step explanation:

Answer:

Its should be y=$3.68(X)

MULTIPLE CHOICE QUESTION
What is the COP of the table below?
X
Y
2
1
4.
2
6
3
8
4
K = 2/4
K = 4/2
K = 1/2
K = 2/1

Answers

Answer:

K = 2/1

Step-by-step explanation:

Constant of proportionality can be found using any two given pair of values.

Constant of proportionality = y/x

Therefore, using (1, 2) , we have

Constant of proportionality = y/x = 2/1 = 2

Or it can be written as: k = ²/1 = 2

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve.

4x + 6 < -6

plz show ur work ♡​

Answers

Answer:

The answer is x<−3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

4x+6−6<−6−6

4x<−12

Step 2: Divide both sides by 4.

[tex]\frac{4x}{4} =\frac{-12}{4}[/tex]

x<−3

−4(m+3)=24
m=?
If you know the answer, please let me know. I really need help. Thank you.
(If the answer is right, this person will be the smartest)

Answers

Answer:

Your answer is going to be m=-9

Step-by-step explanation:

(-4(m+3))/-4=(24)/-4

m+3=-6

   -3  -3

m=-9

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to a large cheese pizza from
Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the
same, not including tax?

Answers

Answer:2

Step-by-step explanation:

.9x+6.8

.65x+7.3

Find x by graphing it

Whoops wrong question

Is this a function?

Answers

Answer:

It isn't a function.

Step-by-step explanation:

Since there are two points on the same x value, in this case x=3, this means that these points can not be a function.

A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?

Answers

this is a scalene triangle

Answer:

Scalene Triangle

Step-by-step explanation:

A scalene triangle is a triangle that’s supposed to have all three sides with unequal lengths.

A USB stick can store 1.1x10 power of 3
megabytes of data.
A hard drive can store 4x10 power of 4
megabytes of data.
How much more can the hard drive store?
Give your answer in standard form

Answers

Answer:

uhhh

Step-by-step explanation:

Answer:

3.82 x 10

Step-by-step explanation:

divide 4 x 10^4 by 1.1 x 10^3

4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1

(3x + 5) (x - 2)
Multiply?

Answers

Answer:

[tex]3x^2-x-10[/tex]

Step-by-step explanation:

This equation cannot be simplified by much, so, the final answer is still an equation, [tex]3x^2-x-10[/tex].

Hope this helped! :)

Answer:

Here,

(3x+5)(x-2)

=3x^2-6x+5x-10

=3x^2-x-10

=3x^2-6x+5x-10

=3x(x-2)+5(x-2)

=(3x+5)(x-2)

Please help i’m giving out brainliest || Q1

Answers

the answer would be a I'm my mind

it would be 8.5 ;
there is 8 box shaded and half of one box shaded
[ 0.5 = 1/2 ]

QUICK I GOT 2 MINUTES
We had dinner at Joe's Crab Sahck. The bill was $200. We had a coupon for 15% discount. We decided to pay the waitress 20% tip and a 7% tax. What was the amount of final bill?

Answers

Answer:

I think it is 224.

Other:

Brainliest? Thanks!

99+99x=0 how to solve this

Answers

Step-by-step explanation:

99+ 99x = 0

99 = - 99x

x = - 99/99

x = -1

Hope it helps :)

Answer:

X = -1

Step-by-step explanation:

99 + 99x = 0

99x = -99

x = -99/99

x = -1

What number should go into the blank so that the two expressions are equivalent to each other? (Use only the digits 0 - 9 to write the number.)

b + b – 1 + b + b + 10 = __b + 9

Answers

Answer:

4.

Step-by-step explanation:

lets just say the unknown is x.

[tex]b+b-1+b+b+10=bx+9\\4b+9=bx+9\\4b=bx\\4=x\\[/tex]

Hope this helps :D

Of the
44
people who started a math class meeting at
10
:
00
each morning, only
37
finished the class. What fraction of people finished the class?

Answers

Answer: .8409 or 37/44

Step-by-step explanation:

help me ples 20 point

Answers

Answer:

40%

Step-by-step explanation:

6/15 * 100 = 0.4 * 100 = 40%

Answer:

40% of the pieces of fruit in the Bowl are apples.    

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

Total number of pieces of fruit  in a bowl = 15 pieces

Number of pieces of apple in a bowl = 6 pieces.

Therefore, 40% of the pieces of fruit in the Bowl are apples.

Mike has a collection of baseball cards and baseball figurines. If the ratio of cards to figurines is 5:7 and there are 25 cards in his collection, how many figurines does he have

Answers

Answer:

35 figurines

Step-by-step explanation:

if the ratio of cards to figurines is 5:7 and there are 25 cards, we multiply the ratio by 5 to make the 5 into a 25 and so can find out how mant figurines there are.

5*5:7*5= 25:35

so there are 35 figurines

I WILL GIVE BRAINLIST Answer the questions to compare 3/12 and 2/9 by using their decimal forms.

1. How can you find the decimal forms of 3/12 and 2/9?

2. Find the decimal form of 3/12 Show your work


3. Find the decimal form of 2/9 Show your work

Answers

Answer:

3/12=0.25

Step-by-step explanation:

3/12=1/4

1/4*25/25 =25/100

25/100 = 0.25

Answer:

1.  To find the decimal form of 2/9 and 3/12, you have to divide the numerator by the denominator.

2. 0.25

3. 0.22222222

Step-by-step explanation:

1. pretty much explained it

2. divided the numerator by the denominator

3. same thing as 2 (divided the numerator by the denominator)

What is .63 converted into a decimal?

Answers

Answer: 63 as a decimal is 0.63

Step-by-step explanation:

Answer:

the answer to your question is 0.63

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