The table below shows the distribution of students by age in a high school
with 1500 students. What is the probability that a randomly chosen student is
14 years old?

Age
13, 14, 15, 16, 17, 18
Number of Students
15,375,450,420,225,15

A. 0.15
B. 0.30
C. 0.28
D. 0.25

Answer:

A. (1, 2) and (4, 3)

B. Slope (m) = ⅓

C. y - 2 = ⅓(x - 1)

D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Step-by-step explanation:

A. Two points on the line from the graph are: (1, 2) and (4, 3)

B. The slope can be calculated using two points, (1, 2) and (4, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]

Slope (m) = ⅓

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).

Thus:

y - 2 = ⅓(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 2 = ⅓(x - 1)

3(y - 2) = x - 1

3y - 6 = x - 1

3y = x - 1 + 6

3y = x + 5

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. Convert the equation in (D) to standard form:

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Answer:

hERE BRUDDA

Step-by-step explanation:

Answer:

It would be 10

Step-by-step explanation:

Its 10 because 12 is to long and the fact that 10 is a few inches shorter it looks correct :D

Answer:

A) 12

Step-by-step explanation:

Yes you have to do a² + b² = c²

So the bottom triangle is 3 and 4 so plug in.

4² + 3² = c² (simplify)

16 + 9 = c²

25 = c² (square root both sides)

5 = c

That gives us the vertical side of the second triangle.

So plug in again

5² + b² = 13² (simplify)

25 + b² = 169 (subtract 25 on both sides)

b² = 144 (square root both sides)

b = 12

x = 12

Hope this helps ya!!

Answer:

[tex]Range = \{5,1,2,23,-5\}[/tex]

[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]

Step-by-step explanation:

Given

[tex](6,5)\ (-13, 1)\ (-4,2)\ (-5, 23)\ (-10, -5)[/tex]

Required

Determine the domain and range

A relation has the following format:

[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)........(x_n,y_n)\}[/tex]

The range of the relation are:

[tex]\{y_1,y_2,y_3,y_4........y_n\}[/tex]

While the domain are:

[tex]\{x_1,x_2,x_3,x_4........x_n\}[/tex]

Using this analysis, the domain of the relation is:

[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]

and the Range is

[tex]Range = \{5,1,2,23,-5\}[/tex]

Transition because it mirrored but not exactly

Answer:

the answer to your question is 33.4

Answer:

23.9

Step-by-step explanation:

you add the percentage to 19

Answer:

Jina's recital lasted 2 hours and 7 minutes

Hope that helped

Step-by-step explanation:

Answer:

2 hour and 7 minutes is the answer

Answer: 0.35

Step-by-step explanation:

Answer:

im giving away 400 points ok so dont get mad at me

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

‘X’ adds by one while ‘y’ adds by -4

Answer:

41º

Step-by-step explanation:

Because of parallel lines, (2x-5)º=180º-113º, so (2x-5)º=67º.

The angle that says (2x)º will be (2[36])º=72º.

So the other angle will be 180-67-72=41º as the sum of a triangle's interior angles is 180º.

Answer:

41°

Step-by-step explanation:

The angle below (2x-5) is also 113° (which i hope you know why)

Then to find (2x-5)° you would subtract 180 - 113 to get the angle because both those angles would add up to 180° because it is a straight angle which gives you 67°

Then you need to find x by solving the equation 2x - 5 = 67 which would give you x = 36, so you would multiply that by 2 for the angle on the side which would be 72°

Then bc the angles on the inside of the triangle all add up to 180° as well, you would add 72 + 67 = 139, then do 180 - 139 giving you d° as 41°

Answer:

thanks 4 the points

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Number of calls expected in next week by manager = 7940

Average Number of calls that call center agent will attend in an hour =7 calls

It is also given that, Call center remain open for 10 hours 5 days a week.

Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week  ,Part time agents work 20 hours a week but are only on calls 17 hours per week .

⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940

⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940

Option A

⇒35×15×7+17×7×15

= 3675+1785

= 5460

Option B

⇒35 ×7×20+17×7×7

=4900 +833

= 5733

Option C

⇒35×20×7 +17×20×7

=4900+2380

=7280

Option D

⇒25 × 35×7+17×7×5

=6125 +595

=6720

Option E

⇒28×35×7+17×7×10

=6860+1190

=8050

Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.

Answer:

61

Step-by-step explanation:

7×6 = 42

42+ 19 = 61 Sorry if I'm wrong I tried

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

Answer:

yes

Step-by-step explanation:

Answer: yes

Step-by-step explanation: 1.8 L is greater than 1,500 ML because 1.8 L equals 1800 ML.

One Liter has 100 mL

Hope this helps :)

Answer:

Step-by-step explanation:

i have no idea what to do

Answer:

2.14

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

hope this helps

Plz mark brainliest :)

The percent of interest is he paying is,

⇒ R = 4.62%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Answer:

Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140  

Answer:

14x , -4+5x

I hope this helps

have a fantastic day

Answer:

-2(-3n - 12)

Step-by-step explanation:

Answer:

91.44

Step-by-step explanation:

Answer:

3 ft = 91.44 cm

Step-by-step explanation:

We want to convert 3 ft to cm.

So we need a conversion factor.

Multiplying 3 ft by (12 in / 1 ft results in 36 in (this is equivalent to 3 ft).

Next, we convert 36 in to cm:

36 in    2.54 cm

-------- * ------------- = 91.44 cm

   1           1 in

Answer:

216.00 = 134.22

Step-by-step explanation:

216.1 =134.22

Answer:

The answer is 16 because

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

        = 16