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max2010maxim [7]
2 years ago
8

Mr. Polland has a square bulletin board where he posts pictures from previous

Mathematics
1 answer:
erastovalidia [21]2 years ago
5 0
Mr. Polland has 361 square feet of space to post pictures.

Explanation:
Because it’s a square, each side is equal in length. Finding area of a square means you multiply the length by the width. Because the length and width age equal here, the equation is ((19*19=361)). You also multiply the units together, so your units are square feet.
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Answer the following questions about the problem above. Write in complete sentences to get full credit.
nexus9112 [7]

<em>Note: Since you missed to add the image, so after a little research, I was able to find the image related to this question, which hopefully serves the purpose to clear your concept. The image is attached below.</em>

Step-by-step explanation:

<em><u>Part 1) What is the slope for section "d" of Mrs. Washington's commute</u></em>

Calculating the slope for section "d" of Mrs. Washington's commute:

Slope of the section d  =\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

\frac{6 - 0}{32 - 20}=\frac{1}{2}=0.5

<em><u>Part 2) What does it mean that the slope is negative in context of the problem?</u></em>

The slope is being negative as it is moving downward from the left. In negative slop, the value of x increase, while the vale of y decreases. In positive slop, the value of both x and y increases.

<em><u>Part 3) Why are the slopes different over different intervals?</u></em>

Slopes are different at different intervals as the distance covered in time taken for each part of the given journey are different, also the speed is not the same for each interval.

As the speed can be calculated as

Speed\:=\:\frac{distance}{time}\:

Distance = y_{2} -y_{1} = 20 - 15 = 5

Time = x_{2} -x_{1}= 8 - 0 = 8

Speed = \frac{5}{8}=0.625

Therefore, the speed in the part 1 is 0.625 ms^{-1}

<em><u>Part 4) How long does it take Mrs. Washington to get home? How did you know this?</u></em>

It is clear from the graph that does take 32 minutes to her to get home.  

We can observe it from the graph that it represents the total time taken across the entire journey.

Keywords: slope, speed, time

Learn more about slope, speed and time from brainly.com/question/13275691

#learnwithBrainly

3 0
3 years ago
The mean of three numbers is 4 <br> Two of the numbers are 1, 9 <br> What is the missing number?
aliya0001 [1]

Answer:2

Step-by-step explanation: 9+1+2=12

12\3=4

ANSWER : 2

7 0
3 years ago
Read 2 more answers
A school will offer pizza on Friday's if at least 30% of the students will buy it. A sample of 50 students asked if they would b
Whitepunk [10]

Answer:

0.0614

Step-by-step explanation:

Solution:-

- The school offers pizza on friday when at-least 30% students are willing to buy.

- The minimum required proportion of students, p = 30%

- A sample of n = 50 students were taken and out of the sample x = 10 people responded willing to buy pizza.

- We will denote a random variable X: the number of students willing to buy Pizza on fridays.

- For the sample of n = 50, for Pizza to be offered on friday the expected number of student who should opt for buying must be at-least:

           Expected ( Mean - u ) = n*p = 50*0.3 = 15 people.

- The standard deviation for the normal distribution can be determined as follows:

          standard deviation ( s ) = √n*p*(1-p)

                                                 = √50*0.3*(0.7)

                                                 = √10.5 = 3.2404

- We will assume that the random variable X follows normal distribution:

                       X ~ Norm ( 15 , 3.2404^2 )

- To determine the probability of sample of size n = 50 with proportion or lower. The number of people willing to buy pizza on friday as per survey are x = 10.

- Evaluate the standard normal ( Z-score ):

                      P ( X < x ) = P ( Z < ( x - u ) / s )

                      P ( X < 10 ) = P ( Z < ( 10 - 15 ) / 3.2404 )

                      P ( X < 10 ) = P ( Z < -1.54301 )

- Use the standard normal tables to determine the value of P ( Z < -1.54301 ):

                     P ( X < 10 ) = P ( Z < -1.54301 ) = 0.0614

Answer: The probability of getting a sample with the proportion or lower given a population with a proportion of .30 is 0.0614.

5 0
3 years ago
Work out m and c for the line: y = 8 − x
vlabodo [156]
The equation is y=mx+c
C=8
M=-1
4 0
3 years ago
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For Home Economics class, Sandra has 5 cups of flour. She made 3 batches of cookies that each used 1.5 cups of flour. Write and
Lemur [1.5K]
Sandra has .5 of flour left after making 3 batches of cookies

6 0
3 years ago
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