In a summer camp there is a ratio of 24 girls to 16 boys. How many are there in a group in total? Express the ratio in 3 different ways.

Given:

The data values are:

21, 32, 17, 24, 15, 30, 28 and 26.

To find:

The first quartile, third quartile, and interquartile range.

Solution:

We have,

21, 32, 17, 24, 15, 30, 28, 26

Arrange the data values in ascending order.

15, 17, 21, 24, 26, 28, 30, 32

Divide the data set in two equal parts.

(15, 17, 21, 24), (26, 28, 30, 32)

Divide each parenthesis in two equal parts.

(15, 17), (21, 24), (26, 28), (30, 32)

Now, the first quartile is:

[tex]Q_1=\dfrac{17+21}{2}[/tex]

[tex]Q_1=\dfrac{38}{2}[/tex]

[tex]Q_1=19[/tex]

The third quartile is:

[tex]Q_3=\dfrac{28+30}{2}[/tex]

[tex]Q_3=\dfrac{58}{2}[/tex]

[tex]Q_3=29[/tex]

The interquartile range is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=29-19[/tex]

[tex]IQR=10[/tex]

Therefore, the first quartile is 19, third quartile is 29 and the interquartile range is 10.

Answer:

3 x 5 is the gcf of 45 and 75. gcf(45,75) = 15.

Step-by-step explanation:

hope this helped! yw :}

Answer:

10 ?

Step-by-step explanation:

need a picture.

but if 2 angles are 130 and the other 2 are 5x then x has to be 10

Answer:

58cm2

Step-by-step explanation:

put it in section and them slove

so area of triangle = b×h÷2= 6×3/2=9cm2

area of terpizium = 5(4+6)/2=25cm2

area of triangle = 8×6÷2=20cm2

add all these together You get 58cm2

hope this helps :)

Answer:

(b) She should have rounded –8.02 to –8

Step-by-step explanation:

Given

See attachment for long division

Required

Her error

Ignoring the minus sign,

Her approximation is as follows:

[tex]-71.81 \approx 72[/tex]

[tex]-8.02 \approx 9[/tex]

Her approximation of -8.02 is wrong

Because:

[tex]-8.02 \approx 8[/tex]

Hence (b) is correct

B (she should have rounded –8.02 to –8)

Step-by-step explanation:

Just got it right on e d g e u n i t y 2021!

Answer:

B. [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]

Step-by-step explanation:

No. of students from first grade = 15

No. of students from second grade = 5

There are 5 rows of seats

Each row contains 5 seats

Total seats = 25

No. of ways for second-grade students to occupy the first row (i.e first 5 seats) = [tex]^{5} P_{5}[/tex]

Remaining seats = 20

So, now we are left with 15 first grade students  

So, No. of ways for first-grade students occupy remaining seats = [tex]^{20} P_{15}[/tex]

Using the counting rule principle,

No. of ways for the students can be seated if all of the second-grade students occupy the first row = [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]

So, Option B is the correct answer

Hence, no. of ways for the students can be seated if all of the second-grade students occupy the first row is ×

There are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.

A permutation in math is the number of ways in which a set of data or objects can be ordered or arranged, where the order matters.

Given that, a school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second-grade travel in the bus.

Since you have to place all first-grade students in the first three rows,

Therefore,

For the 15 first-graders of the first three rows (15 seats), we have ¹⁵P₁₅ since all 15 places have to be occupied by all 15 first-graders.

Then we have 10 remaining seats left to be assigned to the 5 second-graders = ¹⁰P₅

We then multiply the permutation numbers of those two arrangements to get the total ways:

¹⁵P₁₅ x ¹⁰P₅

Hence there are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.

Learn more about permutation click;

https://brainly.com/question/30649574

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Step-by-step explanation:

yes friend and your answe is wring

The Answer is:

C.) (x+2)(x+3)

Answer:

(x-2)(x+3)

Step-by-step explanation:

1. Start by setting up the synthetic division. The numbers 1, -4, -11, and 30 go on the inside on the division. To get the number on the outside, set x-5 equal to 0. solve and get 5.

2. bring the one down. multiply the one and the five and place the number you get underneath the -4 in the next column. From there, add the two numbers in the column.

3. After adding those two numbers, put the number you get (which should be 1) directly below the 5. Now multiply that number and the 5 again.

4. Repeat these steps until you fill the spaces under the next two columns. If you do it correctly, the number at the bottom of the very last column should be 0. This zero is known as the remainder. The remainder is not needed to complete this problem.

 Now that you have finished synthetic division, it is time to set up the new equation you got.

5. The 1 on the bottom left will be your [tex]x^{2}[/tex] value, the next 1 will be your x value, and the -6 will be your c. You should get the equation [tex]x^{2} + x -6[/tex]

6. From here, factor the polynomial. The factors must add up to the middle value (1) and multiple to c (-6). The factors -2 and 3 add up to 1 and multiply to -6

Therefore, your answer will be (x-2)(x+3)

Answer:

Remainder = –24

Step-by-step explanation:

x³ + x² – 20 divide by x + 2

We can obtain the remainder when

x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:

We'll begin by calculating the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the remainder by substituting –2 for x in

x³ + x² – 20. This is illustrated below:

x³ + x² – 20

x = –2

Remainder = (–2)³ + (–2)² – 20

Remainder = –8 + 4 – 20

Remainder = –24

Therefore, the ramainder when

x³ + x² – 20 is divided by x + 2 is –24

Answer:

scale factor: 2

translation: (x+2, y+7)

Step-by-step explanation:

Answer:

XY=6

Step-by-step explanation:

13-7=6

Answer:

XY = 6

Step-by-step explanation:

We know that the whole line (XZ) is equal to 13, and we know that YZ + XY is equal to XZ.

XZ = XY + YZ

13 = XY + 7

6 = XY

Hope this helped :)

Answer:

-39

Step-by-step explanation:

Please give me brainliest.

Answer:

-39

Step-by-step explanation:

6-45

A buyer owes a seller $45 and has gone to pay $6. The remaining dollars which the buyer must give the seller is $39.

Step-by-step explanation:

log_6^36+log_6^216

= log_6^ (36 × 216)

= log_6^ (6² × 6³)

= log_6^ (6^5)

= 5

Answer:

-1, 0, 1, 2,

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do this by making this 2-part function into one all-in. Do this by finding a common denominator and then writing the function as one, over the common denominator, x. When we do this we get the function:

[tex]y=\frac{3x^3-2}{x}[/tex] and we will use the rule for quotients, which is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all over the denominator squared. For us, that is, in steps:

[tex]y'=\frac{x(9x^2)-(3x^3-2)(1)}{x^2}[/tex] which simplifies to

[tex]y'=\frac{9x^3-3x^3+2}{x^2}[/tex] which simplifies finally to

[tex]y'=\frac{6x^3+2}{x^2}[/tex]. Nothing else you do can make this any more simplified.

Step-by-step explanation:

Translation: (x,y)↦( 9, -12)

Scale factor: 2

Translation:

(x,y)↦( 9, -12 )

Scale factor:

2 is the required answer.

sure what is it about maybe I can help you if it's possible

Answer:

C    The mean or median

Step-by-step explanation:

11

Step-by-step explanation:

2 times 5 +1=11

Answer:

2n+1=-5

2n=-5-1

2n=-6

n=-6÷2

n=-3

Answer:

Step-by-step explanation:

3 roots

namely -7/9,-1/4.-4/3

Answer:

A) 10-14

B) 45

C) 6.7%

Step-by-step explanation:

A) The interval that contain the most values can be gotten by looking at the histogram and selecting the interval with the highest frequency. Hence the interval 10-14 contains the most values because it has a frequency of 20.

B)The total number of swimmers is gotten by summing all the frequency of each individual lap. Hence:

Total swimmers on team = 10 + 12 + 20 + 0 + 3 = 45 swimmers

C) The percentage of swimmers who swam more than 14 laps = (number of swimmers that swam more than 14 laps/total swimmers) * 100%

The percentage of swimmers who swam more than 14 laps = [(0 + 3)/45] * 100% = (3/45) * 100% = 6.7%

Answer: 4'6 2'4

Step-by-step explanation:

Answer:

7 boys

Step-by-step explanation:

We must find the median of the data given. A median is the "middle number" of a set of numbers ordered in increasing value.

Step 1, ordering the numbers:

We will start by ordering the numbers from smallest to largest. We have:

2, 2, 6, 8, 9, 12

Step 2, finding the "middle number":

Well...notice how there is an even amount of numbers in the data set. We can't exactly find one "middle number". We can however, narrow the list down to two "middle numbers."

We have 6 and 8.

Step 3, taking the average:

To find the median, we will take the average of the two "middle numbers."

[tex]\frac{6+8}{2} =\\\frac{14}{2}=\\\fbox{7}[/tex]

The median is 7 boys.

I hope this helps! Let me know if you have any questions :)

Answer:

Phải

Step-by-step explanation:

Answer:

zero product property of multiplication

Step-by-step explanation:

step 2 is valid, because for the main expression in step 1 to be true, only one of the 2 factors need to be 0, as

0 × something is always 0.

therefore, it is sufficient to find the values of x that renders the expression of one factor to 0.

Step-by-step explanation:

If A [4 3 ] is a singular matrix find the

[a 3 ] value of 'a'.

a=4

Answer:

Step-by-step explanation:

1. -1/2

2. -1

3. -1/2

4. -1

Answer:

Identify the slope of the graphed line:   -1/3

Identify the y-intercept of the graphed line:   1

Identify the slope of the line given by the equation:   1/2

Identify the y-intercept of the line given by the equation:  -1

Step-by-step explanation:

the other person is wrong i got a 100 on my assignment its correct on edge 2021 hope this helps!!

Answer:

I'm not seeing the options clearly so I'll answer the entire question then perhaps you can get your answer from that

Step-by-step explanation:

Formula for finding volume of rectangular prism =

Area or rectangle x Height

(L x B) x H

[tex] = (8 \times 3) \times 5 \\ = (24) \times 5 \\ = 120 {cm}^{3} [/tex]

I hope it helped?