1. When Aaron runs the 400 meter dash, his finishing times are normally distributed with a mean of 80 seconds and a standard deviation of 2.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 99.7% of his finishing times in the 400 meter race.
Answer:
(72.5,87.5)
Step-by-step explanation:
The interval of times that represents the middle 99.7% of his finishing times in the 400 meter race is; (73.5, 87.5)
What is the interval from empirical rule?
We are given;
Mean; E(X) = μ = 80 seconds
Standard Deviation; σ = 2.5
From the empirical rule, the probability of obtaining values within one deviation from the mean is 0.68; within two deviations is 0.95 and within 3 deviations from the mean is 0.997.
We have 99.7 % of the values within 3 deviations from the mean in our question and so the intervals are;
μ - 3σ = 80 - 3(2.5) = 73.5
μ + 3σ = 80 + 3(2.5) = 87.5
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After reviewing your model stock list, you discover a changing sales pattern over the last several months on the most popular style of jeans. The data note the following sales per month: August-75 units, September-95 units, October-130 units. Assuming your sales continue to grow at the avereage rate they did between August and October, what will your sales be in November?
a) 90
b) 105
c) 106
d) 158
Answer:
158
Step-by-step explanation:
If the average rate between August and October was on an increase, then November sales will be 158.
What is Rate?This is defined as the quantity or amount of something which is measured per unit of something else.
From the stock list, the average rate kept increasing which means option D is the most appropriate choice.
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Someone please help me with this!!
Answer:
D is the answer
Step-by-step explanation:
Hope that helps
If x = 2 and y=5, what is the value of the expression below?
7x + y2
a. 24
b. 39
c. 82
d. 97
Mathhhhhhhhhhhhhhhhhhhh
Which statement applies?
Answer:
it is the first one because you would be deciding by 2
This formula is used to calculate the area of a circle using the diameter:
A= 1/4πd².
Rearrange the formula to calculate the diameter of a circle.
d = _____
Answer:
d= 2√a/π
To calculate the diameter, rewrite the formula to isolate D
Because a negative diameter doesn’t make sense, eliminate the negative answer from the solution
Simplify further to get the solution
The formula to calculate the diameter of the circle is d = 2 √( A/π )
where d = diameter of the circle
A = area of the circle
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the radius of the circle be = r
So , the diameter of the circle = 2r
Now , the area of the circle = πr²
Substituting the value for r , we get
Area of the circle = ( 1/4 ) πd²
So , A = ( 1/4 ) πd²
Now , solving the equation for diameter of circle d , we get
Multiply by 4 on both sides of the equation , we get
πd² = 4A
Divide by π on both sides of the equation , we get
d² = 4A/π
Taking square roots on both sides of the equation , we get
d = 2 √A/π
Therefore , the value of d is 2 √A/π
Hence ,
The formula to calculate the diameter of the circle is d = 2 √( A/π )
where d = diameter of the circle
A = area of the circle
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what is 100 + 84 – 62x = 494
Answer:
X= -5
Step-by-step explanation:
Good luck!
Answer:
X=-5
Step-by-step explanation:
100 + 84 - 62x =494
184 - 62x =494
494-184 = -62x
310 =-62x
310/-62 =x
X= -5
How do i do this please
1. 10 1/2
2. 120
3. 12
Hope this helps =]
If y varies directly with x, and y =9 when x=3, what is x when y=15
directly varies for that mean if y increases x will increase too and the other way around if y decreases x will decrease too.
an easy way to solve this is to make all values into fraction ik it sounds confusing lemme explain it. so if we say [tex]\frac{x}{y}[/tex] and add the values of the known [tex]\frac{3}{9}[/tex] we can say that if [tex]\frac{x}{15}[/tex] is equal to [tex]\frac{3}{9}[/tex]
now we just solve it for x
[tex]\frac{x}{15} = \frac{3}{9} \\9x = 45\\x= 5[/tex]
hence when y is 15 x will be 5
4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
perpendicular to MN and passes through the point (4,3)?
A.
1
y = --X-5
2
C, y = -x-
2
B.
y = -2x-5
D. y = -x + 5
2
Help, I need this now
Answer:
D is correct
Step-by-step explanation:
i did it
WILL GIVE BRAINLIEST TO CORRECT ANSWER!
Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 because of expenses. In the first hour of the fundraiser they collect equal donations from 9 parents, which brings their balance to -44. How much did each parent give?
Answer: 4
Step-by-step explanation:
First we need to find the difference of the balance.
it was -80 then it became -44. The difference is 36.
Next we divide 36 by 9 from the 9 parents.
The answer is 4
I need an answer NOT A LINK! ASAP
Answer:
D. No, because group A is already the control group.
❗❗❗PLS I NEED HELP ON THIS I DON'T UNDERSTAND PLS HELP❗❗❗❗❗❗
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How many elements does this matrix have?
Answer:
i think 6 because it has 3 rows and 2 columns that's 3 rows with 2 elements and that equals up to 6 hope that help
During the past 7 weeks digo spent between 11 and 17 for much lunch each week
PLEEEEEEEEEEEASE HELP WITH SCALE FACTOR IF YOU KNOW!! I WILL MARK BRAINLIEST IF RIGHT!!! Explain!!!!!!!
Answer:
The area is 256
Step-by-step explanation:
she forgot to square her scale factor because that's how you do it for area
Answer:
256
hope it helps
please mark brain list
What is the value of x in the diagram?
A right angled triangle with base 2x+2, altitude x and hypotenuse 2x+3.
Answer:
x = 5
Step-by-step explanation:
x² + (2x+2)² = (2x+3)²
x² + 4x² + 8x + 4 = 4x² + 12x + 9
x² - 4x - 5 = 0
(x - 5)(x + 1) = 0
x = -1 This can be discounted as the answer because you cannot have a negative length
answer: x = 5
Please help I will mark brainiest answer
Nancy's Bagel Shop recorded the number of bagels it recently sold of each type.
plain bagels 3
raisin bagels 1
sesame seed bagels 5
pumpernickel bagels 2
whole wheat bagels 4
Considering this data, how many of the next 20 bagels sold should you expect to be plain bagels?
Answer:
4
Step-by-step explanation:
Sum and Divide
Which statement correctly explains weather the equation y = x^2 - 2 represents a function ?
What is the slope of line b?
2
The answer is letter C. (1/2)
Answer:
C. [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Hope this helps!
Find m
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
Answer:
4
Step-by-step explanation:
Line f is 4 units from the x-axis.
PLEASE HELP! BEST GET'S BRAINLIEST!
Answer:
i think 1996 but i don't know if your adding subtracting but i add and i got 1996
All edge are 8 cm in length. What’s the surface area?
Answer:
192
Step-by-step explanation:
This is because its a square and all the sides on a square are equal so it would be:
top/bottom= 8*8
left/ right= 8*8
front/ back= 8*8
all equal 64 then you do 64*64*64 to get 192!
Hope this helped!
I need help. The due date is April 21, 2021 11:00pm
3=y
2y + 2x = 8
The Options:
A. (1,3)
B. (3,1)
C. (0,8)
D. (2,2)
Brain Teaser! Will be posting till I run out! Winner gets a brainliest!
Question: Find the area of the red triangle.
Answer:
i tried
Step-by-step explanation:
im suppose to be gifted... it took me 20 minutes and im in 9th grade RIP, but is it 9??
what are these??
Find x. Simplify the Radical or Round to the nearest.
(lg 5)²+(lg 2)(lg 50)
need solution....