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N76 [4]
3 years ago
8

Benson played for 10 minutes after reaching home. He watched television for another 20 minutes before eating his lunch. His lunc

h, which lasted 20 minutes, was finished at 2:50pm. At what time did Benson reach home?
Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

At 2:00.

Step-by-step explanation:

You take 10 minutes off 2:50 for play time add the two 20s together then subtract 40 to get 2:00.

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While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-s
erma4kov [3.2K]

Answer:

a) 97.1\% b) 13.6\%  c) 772 \:calories

Step-by-step explanation:

\mu=1071,\:\sigma=301

1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%,  2 and 68%, 1 standard deviation from the mean.

As you can see in the graph.

a). What is the approximate percentage of the Chipotle meals that have more than 469 calories?

By the rule

We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.

So

68\%=(\mu-2\sigma,\mu+2\sigma)=(1071-2(301), 1071+2(301)=(469,1672)

But the question wants to know more than 469 calories, then13.6\%+34\%+34\%+13.6\%+2.1\%=97.1\%\\

b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?

Check the graph below

This percentage is the interval, which is a quarter of that 95%

(\mu +\sigma,\mu+2\sigma)=(1372,1673)=\frac{95\%}{4}=13.6\%

c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?

Since we're dealing with a Normal Curve, then to find the 16th percentile we need:

  • The Mean and Standard deviation
  • The Z score and then multiply by that Standard Deviation
  • Add this to the mean

.Z\: score=-0.994\\\\(-0.994)*301=-299.194\\-299.194+\mu \Rightarrow -299.194+1071=771.806\approx772

We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.

8 0
3 years ago
Line l is the perpendicular bisector of AB. What is the perimeter of ABC
saveliy_v [14]

Answer:

Perimeter = 60

Step-by-step explanation:

because l bisects AB:

3y+1 = 5y-5

reduce:

2y = 6

y = 3

and:

2x+4 = 4x-12

reduce:

2x = 16

x = 8

AB = (3y+1) + (5y-5)

AB = 8y-4

substitute for y

AB = 8(3)-4

AB = 20

Perimeter = (2x+4) + (4x-12) + 20

reduce:

perimeter = 6x+12

substitute for x:

Perimeter =6(8)+12

reduce:

Perimeter = 60

3 0
2 years ago
Comparing Order of Magnitude A biologist estimated the number of cells in a culture sample as 1.3 × 102. One week later, he look
Assoli18 [71]

Answer:

3 * 10^3 in scientific notation.

3,000 in standard notation.

Step-by-step explanation:

We divide:

3.9 *10^5 / 1.3 * 10^2

= ( 3.9/1.3) * (10^5 / 10^2)

= 3 * 10(5-2)

= 3 * 10^3.

This  equals 3 * 1,000 = 3000.

4 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP!!!!!!!!!!
IgorLugansk [536]

The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

<h3>What is sin function?</h3>

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

As we know the sin function is represented by:

y = Asin(Bx) + C

Here,

A = The amplitude  =  3

C = The vertical shift  = 1

B - The period in terms of π

B = 2π/amplitude

B = 2π/4

B = π/2

The becomes:  

\rm y = 3sin(\dfrac{\pi }{2}x)+1

Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

Learn more about the sin function here:

brainly.com/question/14397255

#SPJ1

3 0
2 years ago
What is radical 7 plus radical 3 plus radical 98 minus radical 18 equal to
marissa [1.9K]

7 + 3 + 98

14/21 + /3 the 21 is inside the radical and the 3 is in a radical also

5 0
3 years ago
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