Complete Question
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 220 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball.
If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet
Answer:
The value is [tex]P(X < 194 ) = 0.25785[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 220 \ feet[/tex]
The standard deviation is [tex]\sigma = 40 \ feet[/tex]
Generally the probability that this ball traveled fewer than 194 feet is mathematically represented as
[tex]P(X < 194 ) = P(\frac{X -\mu}{\sigma } < \frac{194 - 220}{40} )[/tex]
Generally [tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 194 ) = P(Z < -0.65 )[/tex]
From the z-table the probability of [tex](Z < -0.65 )[/tex]
[tex]P(Z < -0.65 ) = 0.25785[/tex]
So
[tex]P(X < 194 ) = 0.25785[/tex]
There is a parade coming through town, the route is 2 miles long with 10 foot wide sidewalks along each side. If the crowd is approximately 5 people per 16 square feet, how many people are estimated to be watching?
66 000 people
Step-by-step explanation:Hi there !
1 mile = 5280 feet
2 miles = 2×5280ft = 10 560 feet
Area = 2(10560ft×10ft) = 2×105600ft² = 211200 ft²
How many people are estimated to be watching?16 ft² ................ 5 people
211200 ft².........x people
x = 211200×5/16
= 1056000/16
= 66 000 people
Good luck !
A business owner wants to have the front row window.
Look at the photo please I will name Brainlyest
Spencer is 10 years old. His age is two years less than three times his sister's age. How old is Spencer's sister?
The age of Spencer's sister is 4 years old.
What is an Equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Spencer is 10 years old. His age is two years less than three times his sister's age.
Let the age of Spencer's sister be x
According to the question,
3x - 2 = 10
3x = 10 +2
3x = 12
x = 12/3
x = 4
Hence, The age of Spencer's sister is 4 years old.
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Which ordered pairs are solutions to the equation 5x+12y = 12?
Select the correct answer below:
a. (0,1)
b. (7,-6)
c. (6,5)
d. (2,3)
e. none of the above
Find the measure of the indicated angle.
14
?
29
Answer:
15
Step-by-step explanation:
I guess it is 29-14 which obviously is 15 as we know
PLZ HELP FASTTTTTTTT
PLS HELP! CLICK HERE!!!!!
Answer:
its 2
Step-by-step explanation:
bc i said so period
Multiply 2 3/4 x 1 1/3. Write your answer in simplest form
so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.
2 3/4 * 1 1/3
= 12 / 4 * 4/3
now multiply normally
= 48 / 12
divide this by 4/4 to get simplest for
= 12 / 3 divided by 3/3
= 4/1
Step-by-step explanation:
To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box? PLSSSSS HELLPPP
Answer:
4 goes in the box
Step-by-step explanation:
The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let the value inside the box be 'y'. Then the equation is given as,
4x − 2 + y(2x + 4) = 2(6x + 7)
Simplify the equation, then we have
4x − 2 + y(2x + 4) = 2(6x + 7)
4x − 2 + y(2x + 4) = 12x + 14
y(2x + 4) = 8x + 16
y = 4(2x + 4) / (2x + 4)
y = 4
The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.
More about the solution of the equation link is given below.
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lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest
Answer:
38Step-by-step explanation:
see attached
Write the equation of the line containing point (-3, 2) and having a slope of 6.
Answer:
y + 2 = 6(x - 3)
Step-by-step explanation:
Point-Slope Form: y + y₁ = m(x + x₁)
Simply plug in your known variables into the point-slope form to find your equation:
y₁ = 2
x₁ = -3
m = 6
y + 2 = 6(x - 3)
Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at these rates how many minutes does it take Ben to run 2 miles and bike 8 miles?
Answer:120 minutes
Step-by-step explanation:
You see it's math
Answer:
110
Step-by-step explanation:
-2x + 12 = -2(x – 6)
Answer:
true for all x
Step-by-step explanation:
-2x + 12 = -2(x – 6)
Distribute
-2x+12 = -2x+12
Add 2x to each side
12 =12
Since this is always true, there are infinite solutions
x is all real numbers
Asppppp help Im taking a quixxxx
Answer: a, b, d
Step-by-step explanation: don’t count me on it
Answer:
B, D
Step-by-step explanation:
just find the common denominator and see if it works
Which decimal number is equal to 18?
0.125
0.125¯¯¯¯¯
0.125¯¯¯¯
0.125¯
Answer:
if you mean 1/8 then its 0.125 (top choice)
Step-by-step explanation:
1/8=(1/4)/2=0.25/2=0.125
So what s the meaning for X and Y
The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi. (x,y) has the meaning of a plane's vector from origin of coordinates.
Which equation has no solution? plsss helpppp
Answer:
Step-by-step explanation:
b
plz help. its easy brainliest
Answer:
ur welcome brainliesit pls
Step-by-step explanation:
6. x=2
7. x=3
8.x=-7
Four zeros of a 5th degree polynomial are 12,3,-5 and 1+2i. What is the 5th zero in this polynomial
Answer:
1-2i
Step-by-step explanation:
complex roots come in conjugate pairs
What values are the solutions for x2 + 2x = 8?
Answer:
x=4,-2 hope this helps!!
Step-by-step explanation:
If x = 34, y = 53, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.
0.74 units
1.17 units
1.64 units
2.14 units
Answer:
2.14 units
Step-by-step explanation:
TO FIND AB:
sin 34=AC/AB
AB=AC/sin34=4/sin34=7.15
TO FIND AD:
sin 53=AC/AD
AD=AC/sin53=4/sin53=5.00
difference in length:
AB-AD=7.15-5.00=2.14 units
Answer:
the answer is 2.14 units
Step-by-step explanation:
took the test and got it right
Brainliest pls
Match the number with its opposite.
Match Term Definition
9.2 A) 2.9
−2.9 B) −9.2
−1.4 C) −4.1
4.1 D) 1.4
Answer:
9.2 - B
-2.9 - A
-1.4 - D
4.1 - C
Step-by-step explanation:hope this helps
PLEASE HELPPPP ITS A GRADE
Answer:
A. It is not a function because 0 outputs multiple items
B. the domain seems to be 0,1,2,3
c.The range seems to be -2,1,2,4
Step-by-step explanation:
plz help... ill give u 20 points
Which situation is represented by the equation 6x = 4x + 18? a, James paid $18 for 4 books. What is the cost of one book? b. James paid the same amount for 6 books as he did for 4 books and a CD that costs $18. What was the cost of each book? c. Six times a number is the same as 4 times the number decreased by 18. What is the number x? d. Six more than the number of red beads in a bag is the same as 18 more than 4 times the number of red beads in the bag. What is x, the number of red beads in the bag,
HURRY PLEASE
Answer:
B
Step-by-step explanation:
Option B best displays/showcases the equation of 6x = 4x +18
Which expression is equivalent to the distance between -13 and -4 on a number line? I need some help
Answer:
9
Step-by-step explanation:
To solve this count from -4 and -13. So counting, we go -5, -6, -7, -8, -9, -10, -11, -12, and -13. To get from -4 to -13 we counted 9 numbers and that gets you your answer of nine. Hope that helps!
C - x = r - d , for x
Answer:
x = C+d-r
Step-by-step explanation:
C - x = r - d
-x = r - d - C
x = -(r - d - C)
x = -r+d+C
x = C+d-r
Need help with both 7 and 8
FIRST RIGHT GETS BRAINLIEST
Answer:
20
Step-by-step explanation:
every line is a multiple of 2.
Answer:
The answer is 20
Step-by-step explanation:
The first line is 0 then is goes by two
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
17. The area of the large square below is 49 centimetres squared. What are the side lengths of the shaded triangle?
Answer:
12.25,12.25,7
Step-by-step explanation:
Formula of Area of square= length x breadth
In a square all side are equal as we all know that which means if the Area of the square is [tex]49cm^{2}[/tex] if we take the root of 49 it gives us 7 so the length and breadth of the square is equal to 7 as shown in my figure i uploaded. Please excuse my professional drawing skills ( pun intended :D)
The dotted lines i assume shows that sides are being bisected into two equal halves which means the whole side equals 7cm and the half is 7/2 equals 3.5cm so the bottom half side of the triangle is 7cm but the two slant heights we have to find we can find it by using phythogra's theorem
(Hypotnuse)^2=(Length^2) x (Breadth)^2
we need to find just one side of the hypotnuse/slant height then we multiply it by 2 which would gives us both of our hypotnuse sides so
(Hypotnuse)^2= (3.5)^2 x (3.5)^2
(Hypotnuse)^2=150.0625
Apply square root on both sides gives us
[tex]Hypotnuse = 12.25[/tex]
Since the traingle is covered by two slant height's the sides of the traignle are 12.25cm 12.25cm and 7cm