The middle school band has a boy to girl ratio of 4:6.
The band had 20 members last year and 25 members this year.
How many girls and how many boys are in the band in each of these two years?

Last year: 8 boys and 12 girls. This year: 10 boys and 15 girls.
Last year: 12 boys and 8 girls. This year 13 boys and 12 girls
O

Last year: 8 boys and 12 girls. This year: 12 boys and 13 girls.

Last year: 12 boys and 8 girls. This year 15 boys and 10 girls

Answer:138

Step-by-step explanation:

I just took the test

The number of people who score 90 or less is 138, option B is correct.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Let us find the proportion of people in the group of 400 who score 90 or less on the memory test.

Given that the scores are normally distributed with a mean of 100 and a standard deviation of 25.

Using a z-score table, we can find the z-score corresponding to a raw score of 90 as follows:

z = (90 - 100) / 25 = -0.4

The area under the standard normal distribution curve to the left of z = -0.4 is 0.3446, which represents the proportion of people who score 90 or less on the memory test.

Therefore, the number of people who will score 90 or less is:

0.3446 x 400 = 137.84

Hence, the number of people who score 90 or less is 138, option B is correct.

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Answer:60

Step-by-step explanation:

Answer:

k = 4

Step-by-step explanation:

If x + 2 is a factor of the polynomial;

By the factor theorem, if we set x + 2 = 0, then make x the subject of the formula; if we substitute the value into the polynomial, the result we should have after calculating should be zero

So, we have it that;

x + 2 = 0

x = -2

Substitute into the polynomial and equate to zero

(-2)^3 - k (-2)^2 + 2(-2) + 7k = 0

-8 -4k -4 + 7k = 0

-12 -4k + 7k = 0

-12 + 3k = 0

-3k = -12

k = -12/-3

k = 4

Step-by-step explanation:

The volume of the mathematical cylinder is the amount of space what will fit inside. You can you can use the formula for the mathematical problems to find the amount. It's like, "Example" to find the volume of a cone, you need to plug in the measurement for the height of the cone and the radios of the base of the formula for the volume of the cone. The you just need to simply it to get your answer..................

Answer:

B

Step-by-step explanation:

Slope = 1

Answer:

4,886.83feet

Step-by-step explanation:

The question will result in a right triangle with

Opposite = distance of the balloon above the ground = 950feet

Angle of elevation = 11 degrees

Required

Horizontal distance h (adjacent)

Using SOH CAH TOA identity

Tan theta =opp/adj

Tan 11 = 950/h

h = 950/tan 11

h = 950/0.1944

h = 4,886.83feet

Hence the horizontal distance from the balloon to the ground crew is 4,886.83feet

Answer:

2

Step-by-step explanation:

(1/2) 4^2-6

(1/2) 16-6

8-6

=2

Answer:

0 < 2/13 < 7/16 < 5/9 < 1 < 5/2

Step-by-step explanation:

Answer:

The anwser should be 2625

Step-by-step explanation:

35% of 15 is 5.25

5.25 multiple by 500 is 2,625

Answer:

Jenny drove for about 4.93 hours

Step-by-step explanation:

Jenny uses 7/9 gallons of gas per hour.

She used a total of 3 5/6 gallons.

If x is the number of hours she drove, then she used 7x/9 gallons.

X* 7/9 = 3 5/6

3 5/6 can be converted to an improper fraction.

((3*6)+5) / 6 = 23/6 gallons

=> x * 7/9 = 23/6

=> x = (23/6) / (7/9)

=> x = (23/6) * (9/7)

=> x = 69/14

=> x = 4.928571429 hours.

Answer:

There are 47 Borogroves and 35 Mome raths

Step-by-step explanation:

Here, given the number of legs, we want to find the number of each type of animals

Let the number of borogoves be b and the number of mome raths be m

From the question, there are 82 creatures;

Thus;

m + b = 82 ••••••••(i)

the total number of legs by b borogroves will be b * 2 = 2b

the total number of legs by m mome raths will be m * 4 = 4m

the sum of all legs is 234

2b + 4m = 234 •••••••••(ii)

From equation 1, m = 82-b

Substitute this into equation ii

2b + 4(82-b) = 234

2b + 328 - 4b = 234

4b-2b = 328-234

2b = 94

b = 94/2

b = 47

Recall;

m + b = 82

m + 47 = 82

m = 82-47

m = 35

Answer:

h = 41.25 foot

Step-by-step explanation:

Given that,

Height of a street light = 7.5 feet

It casts a 3-foot-long shadow.

A nearby flagpole casts a 16.5 foot long shadow. We need to find the height of the flag pole. Let the height be h. It can be calculated as :

[tex]\dfrac{\text{height of street light}}{\text{height of shadow of street light}}=\dfrac{\text{height of flagpole}}{\text{height of shadow of the flag pole}}\\\\\dfrac{7.5}{3}=\dfrac{h}{16.5}\\\\h=\dfrac{7.5\times 16.5}{3}\\\\h=41.25\ foot[/tex]

So, the height of the flag pole is equal to 41.25 foot.

The height of the flag pole is 41.25 feet tall.

Word problems in mathematics are methods used to solve real-life cases. They usually follow a logical approach with the use of arithmetic operations when solving them.

From the parameters given:

Let the height of the flag pole be = x

∴

To determine the height of the flag pole, we have:

[tex]\mathbf{x = \dfrac{7.5 feet \ tall \times 16.5 \ foot \ long} {3 \ foot \ long} }[/tex]

x = 41.25 feet tall

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Answer:

22 students

Step-by-step explanation:

Create a system of equations where p is the number of students that voted for Patrick, and b is the number that voted for Britney

p + b = 100

b = p + 56

Solve by substitution by plugging in p + 56 as b in the first equation

p + b = 100

p + p + 56 = 100

Solve for p:

2p + 56 = 100

2p = 44

p = 22

So, 22 students voted for Patrick

Patrick sold 22 ballots.

22+56=78

22+78=100

Answer:  12.5 CC

Step-by-step explanation:

V=1/3Bh where B is the area of the base and h is the height

The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225

V=1/3(4.6225)(8.1)=12.5cc

Answer:

180

Step-by-step explanation:

200/50=4

45x4=180

Answer:

the exact form is [tex]7 \sqrt{3}\\[/tex] but the decimal form is 12.124 :)))

Step-by-step explanation:

Answer:

$16.05

Step-by-step explanation:

50% of 10.00

0.50 x 10.00 = 5.00

10.00 + 5.00 = 15.00

7% of 15.00

0.07 x 15.00 = 1.05

15.00 + 1.05 = 16.05

Answer:

x = 20

Step-by-step explanation:

angles are adjacent and add up to 180 degrees, so:

7x + x + 20 = 180

8x + 20 = 180

8x = 160

x = 20

Answer:

Step-by-step explanation: also it’s 15

[tex] \sqrt{25} + 5 + 10 - 5 \\ 5 + 5 + 10 - 5 \\10 + 10 - 5 \\ 20 - 5 \\ = 15[/tex]

[tex] \\ [/tex]

Answer:

B

Step-by-step explanation:

because you have a number multiplied 3 times, and you subtract 4 to that, which results in 4 less than 3 times a number

Answer:

(√50+15/2)/2=√50/2+15/4=7.28

√8+4=6.82

π+4=7.14

13√80/16=7.26

3π-2=7.424

√30+1.8=7.277

Step-by-step explanation:

√30+1.8 is nearly equal to√30+1.8&13√80/16

so

√30+1.8& 13√80/16 can be apply.

Answer: 125

Step-by-step explanation: just multiply 5 x 5 x 5

Answer: 125

Hope this helps!

Answer:

your answer would be 339

Step-by-step explanation:

i used a circle calculator

you would multiply 2.25 and 24

which gives you 54

and you wanna find the circumference i dont knowhow to do that but it would be 339

the answer is 140 calculate so umm yeah duh I mean 280 lets go baby!!!!

Answer:

x=2

Step-by-step explanation:

3x-2=-2x+8

collect all the like terms

5x=10

x=2

Answer:

(2,4)

Step-by-step explanation:

Answer:

The answer is 3 events.

Step-by-step explanation:

I say this because the initial fee is $19, and its $4 per event so 4x3=$12 and  $19 + $12 = $31 .

Answer:

I have already answered this in your last question:)

Answer:

?

Step-by-step explanation:

I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.

Answer:

Since no figure is shown, i'll give you a hint.

Step-by-step explanation:

All angles inside a triangle equal 180 when combined.

i'll help more if you post the photo.