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3 years ago

The perimeter of a polygon is 96 ft. Write and solve an equation to find “m”.

Mathematics

1 answer:

Bezzdna [24]3 years ago

3 0

Answer:

m = 12

Step-by-step explanation:

Total perimeter = 3m + 3m + m + m = 96

so, 8m = 96

then m = 12

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If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

Nimfa-mama [501]

Answer:

1/2

Step-by-step explanation:

As a decimal it is 0.5 which is exactly between 0 and 1

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3 years ago

In a recent town election, 1,860 people voted for either candidate A or candidate B for the position of supervisor. Ifcandidate

zhannawk [14.2K]

Answer:

$1860 - 550 = 1310 \\ = 1310$

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3 years ago

What is the volume of a cube shaped box with 6cm. In length?

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4 years ago

. Ravi plays a game in which he has to draw one ball from a box containing 3 Red, 4 white and 3 green balls. On drawing a white

Slav-nsk [51]

P(Ravi is rewarded Rs. 10) = 0.4

P(Ravi does not lose) = 0.7

P(Ravi pays a penalty) = 0.3

Step-by-step explanation:

Step 1 :

Probability of any event happening = Total number of favorable outcomes / Total number of outcomes

Step 2 :

(i) P (Ravi is rewarded Rs. 10) = P(Ravi selecting a white ball)

Total number of favorable outcomes = Total number of white balls = 4

Total number number of outcomes = 10

Probability of selecting a white ball = Total number of white balls/Total number of outcomes =4/10 = 0.4

Hence P (Ravi is rewarded Rs. 10) = 0.4

Step 3 :

(ii) P (Ravi does not lose)

Probability of Ravi not losing is probability of Ravi not selecting a Red ball [ because Ravi has to pay penalty only when he chooses red ball

P(Ravi selecting Red ball) = Total number of red balls/Total number of outcomes =3/10 = 0.3

Hence P (Ravi does not lose) = 1-0.3 = 0.7

Step 3 :

(iii)P (Ravi pays a penalty of Rs. 5)

P (Ravi pays a penalty of Rs. 5)= Ravi selecting a Red ball

P(Ravi selecting Red ball) = Total number of red balls/Total number of outcomes =3/10 = 0.3

Hence P (Ravi pays a penalty of Rs. 5) = 0.3

5 0

3 years ago

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor

Nina [5.8K]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

$y(x) = 50.57+0.4845x$

where, above equation is a linear regression equation to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Here,

y is the dependent variable that is score of exam 3.

x is the independent variable that is the score of exam 1.

Comparing the given equation to a linear equation, we have,

$y = mx + c$

Slope, m = 0.4845

Intercept, c = 50.57

We define the slope as rate of change.

If there is a increase in x by 1 unit, then,

$y(x) = 50.57+0.4845x\\y(x+1) = 50.57+0.4845(x+1)\\y(x+1)-y(x) = 50.57+0.4845(x+1)-50.57-0.4845x\\y(x+1)-y(x) = 0.4845(x+1-x)\\y(x+1)-y(x) = 0.4845$

Thus, we can interpret the slope of the line as

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

5 0

4 years ago