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3 years ago

A line containing the points (9,3) and (21,p) has a slope of 1/3. what is the value of p?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

7 0

Here's the formula:
(y2-y1)/(x2-x1)
so then:
(p-3)/(21-9)
so:
p-3/(12)
so then p = 7

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3 Lila planted a tree in her backyard. She made this graph to show the tree growth for over 5 years. Part A Complete the equatio

hichkok12 [17]

Answer: Part A : slope = 20/1 -8/1 12/4 =3 Part B: The y-intercept is 5

Step-by-step explanation: I just did this with my teacher..Hope this helps! ( The numbers in bold are the answers)

5 0

3 years ago

Read 2 more answers

Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp

ycow [4]

Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Number of boys added: 18
Ratio of boys to girls: 5:4

So, the total number of boys is:

x + 18

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0

3 years ago

I need help completing this problem ASAP

prisoha [69]

Answer:

$4\sqrt{5}$

Step-by-step explanation:

Prime factorize 20 and 45

$\sqrt{20}=\sqrt{2*2*5}=2\sqrt{5}\\\\\\\sqrt{45}= \sqrt{5*3*3}=3\sqrt{5}$

$\sqrt{20}-\sqrt{5}+\sqrt{45}=2\sqrt{5}-\sqrt{5}+3\sqrt{5}$

$=(2-1+3)\sqrt{5}\\\\\\= 4\sqrt{5}\\$

4 0

3 years ago

A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information

MArishka [77]

Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

$Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1$

Let 'X' = 55

$Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1$

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

= A(1) - A(-1)

= A(1) + A(1)

= 2 × A(1)

= 2× 0.3413

= 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

4 0

3 years ago

HELP WILL GIVE BRANLIEST!!

antoniya [11.8K]

Answer:

on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.

Now

On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)

But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2

In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together

So our required answer is

p(even number)× p(tails)= 1/2 × 1/2 = 1/4

Step-by-step explanation:

7 0

3 years ago