find the slope of each line
helppp!!

Given:

The height of 44 students (in centimeter) are presented in the given frequency distribution.

To find:

The median of the given data.

Solution:

The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.

The complete frequency distribution table is shown below:

Height              Frequency           L                            <cf

182 - 188                  1                  181.5 - 188.5            44

175 - 181                   3                 174.5 - 181.5             43

168 - 174                  6                 167.5 - 174.5            40

161 - 167                 15               160.5 - 167.5            34   Median class

154 - 160                 12                153.5 - 160.5           19

147 - 153                   4                146.5 - 153.5             7

140 - 146                   3                139.5 - 146.5             3

We have, [tex]n=44[/tex].

[tex]\dfrac{n}{2}=\dfrac{44}{2}[/tex]

[tex]\dfrac{n}{2}=22[/tex]

The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.

Formula for median:

[tex]Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h[/tex]

Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.

Now, [tex]l=160.5,f=15,cf=19,h=7[/tex].

[tex]Median=160.5+\dfrac{22-19}{15}\times 7[/tex]

[tex]Median=160.5+\dfrac{3}{15}\times 7[/tex]

[tex]Median=160.5+1.4[/tex]

[tex]Median=161.9[/tex]

Therefore, the median of the given data table is 161.9.

Answer:

(140 × $5) + (255 × $1)

Therefore, the money was collected is $ [tex]955[/tex].

What is an expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Here given that,

Keiko’s class collected money to donate to charity. When Keiko counted the money, there were [tex]140[/tex] five-dollar bills, and [tex]255vvv[/tex] one-dollar bills.

So, it is of the form:-

[tex](140[/tex] ×[tex]5)+(255[/tex] ×[tex]1)[/tex]

[tex]=700+255\\\\[/tex]

[tex]=955[/tex]$

Hence, the money was collected is $ [tex]955[/tex].

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Answer:

13

Step-by-step explanation:

Number of students that attended more than play = percentage of students that attended more than play x total number of students

5.5% x 232

0.055 x 232 = 12.76 students

to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Since the first term is 7 which is greater than 5, 1 would be added to it.

This gives 13

Answer:

The image point of (-5, 0) after a translation left 2 units and down 1 unit would be the point (-7, -1).

Step-by-step explanation:

The original point is located at (-5, 0), a translation of two units to the left would be an increase of -2 in the x-axis, and a translation of down 1 unit would be an increase of -1 in the y-axis. Using the translation, you can infer that the new coordinate would be (-5 - 2, 0 - 1) or (-7, -1).

Answer:

$83.46

Step-by-step explanation:

24 + 54 =78

78 × 7% = 5.46

78 + 5.46 = $83.46

Answer:

458435464546484845kdnh

Answer:

C. y+3=−7/5(x+2)

Step-by-step explanation:

Line is passing through the points (-2, -3) and (-7, 4).

Slope of line = (-3 - 4)/[-2-(-7)]= (-7)/(-2+7) = - 7/5

Equation of line in the point-slope form is given as with point (-2, -3).

y - (-3) = - 7/5[x - (-2)]

y + 3 = - 7/5(x +2)

Answer:

Yes

Step-by-step explanation:

Your answer is correct :) good job and keep it up!

Answer:

l=-5,-2

m=-3,-3

n=-6,-6

Step-by-step explanation:

Answer:

320 customers

Step-by-step explanation:

Well the chart given is a huge ratio since its a sample.

you would have this ratio

41:25:43:16

You can add them all up since then you would know how much people have actually be chosen for the survey.

You’d get 125. So 125 is the sample out of 2500 so we can divide to see how much of these “125” samples are in 2500.

You’d get 20.

So there are 20 “125” samples and we’re only focusing on drama which is 16 out of 125. 20*16 would be 320.

Answer:

B. 6 cm

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

12x6 is 12 + 5 meters = 12.5m

Answer:

a) Line M

b)Line M

c)y=1/2x+2

Step-by-step explanation:

a) Line M has a greater y-intercept since its y-intercept is at (0,2) while Line N's y-intercept is at (0,1)

b) Line M has a greater slope since its line is steeper

c) Use the formula y=mx+b

Use the points ( 0,1) and (-4,-1)

m(slope)= y2-y1/x2-x1

m= (-1-1)/(-4-0)

m=-2/-4

m=1/2

substitute

(0)=1/2(-4)+b

2=b(y-intercept)

y=1/2x+2

Answer:

Red line has higher intercept and slope.

The equation for the line: y= 0.5x

Step-by-step explanation:

Brainliest can only be awarded when two people have answered the question.

Answer:

3,0

Step-by-step explanation:

Answer:

Yes that is Correct.

Step-by-step explanation:

If all three pairs of corresponding sides are congruent, the triangles are congruent.

Answer:

7 26/15

Step-by-step explanation:

all you have to do is add 15 to the 11.

Answer:

3 magazines

Step-by-step explanation:

We will use ratios for this equation:

[tex]\frac{6}{18} =\frac{x}{9} \\\\18x=54\\x=3[/tex]

The number magazines you can buy with $9.00 is 3.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, at Nivea's Newsstand, 6 magazines cost $18.00.

Cost of 1 magazine is 18/6

=$3

Number of magazine with $9 is 9/3

= 3

Therefore, the number magazines you can buy with $9.00 is 3.

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Given:

The two triangles are similar by SSS.

To find:

The value of x.

Solution:

If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.

It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]

[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]

[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]

On cross multiplication, we get

[tex]3(x+1)=2(3x-3)[/tex]

[tex]3x+3=6x-6[/tex]

[tex]3x-6x=-3-6[/tex]

[tex]-3x=-9[/tex]

Divide both sides by -3.

[tex]x=3[/tex]

Therefore, the value of x is 3.

Answer:

first one is 1/2

the next one is 1/2

the last one is 1/4

Step-by-step explanation:

i just did it

The probability of A will be P(A) = 1/2. The probability of B will be P(B) = 1/2. The probability of A and B will be P(A and B) =  1/4

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Event A: Rolling a number less than 4 on a number cube.

Event B: Flipping heads on a coin toss

We need to find the probability of A, the probability of B, and the probability of both A and B.

The probability of A will be

P(A) = 1/2

The probability of B will be

P(B) = 1/2

The probability of A and B will be

P(A and B) = 1/2 x 1/2

P(A and B) =  1/4

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Answer:

It is 3

Step-by-step explanation:

6*5= 30

30/10= 3

Mark me Brainliest?

Answer:

B.  Lower latitudes receive more solar energy than higher latitudes.

i know i was late srry

So

Total students

Answer:

C = 22cm

Step-by-step explanation:

If the radius equals to 11, then the diameter is 22 since the diameter is double of radius. They told us to use π, so the answer is 22π.

Answer:

the answer is 7^12

Step-by-step explanation:

7^14 ÷ 7^2

14 - 2

12

Answer:

In simplified form, sin D is;

4/5

Step-by-step explanation:

The given figure and dimension parameters in the question are;

Triangle ΔDEF is a right triangle

The length of leg [tex]\overline{EF}[/tex] which is opposite side to the reference angle = 20

The length of segment [tex]\overline{ED}[/tex] which is the hypotenuse side of the right triangle ΔDEF = 25

The length of segment [tex]\overline{DF}[/tex] which is adjacent side to the reference angle = 15

By trigonometric ratios, we have;

[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

Therefore, we have;

[tex]sin\angle D = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{20}{25} = \dfrac{4}{5}[/tex]

∴ In simplified form, sin(D) = 4/5.

Answer:

213 sandwiches

534 soft drinks

Step-by-step explanation:

system of equations, if you want better explanation, hmu in the comments.

Answer: 112

Step-by-step explanation:

educated guess

D is correct. you’re welcome.

Answer:

im lost

Step-by-step explanation:

Answer:

i believe it would be 8

Step-by-step explanation:

hope this helps :)