If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet
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]
Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn?
Answer:
252
Step-by-step explanation:
7 yards is equivalent to 252 inches.
Answer:
252 inches
Step-by-step explanation:
There are 3 feet in 1 yard. Multiply 7 yards x the 3 feet in each 1 yard.
You should now have 21 feet.
Multiply 21 feet x the 12 inches in each foot.
You should come up with 252 inches as your final product.
Given f(x) = -x + 7, evaluate f(-2).
Answer:
f(x)=9
Step-by-step explanation:
f(x)=-(-2)+7
f(x)=9
Express this number in scientific notation. 53,010,00053,010,000
Answer:
[tex]5.30100005301 * 10^{15}[/tex]
how many different choices of car does a person have if a particular model comes in 11 colors and 4 styles
Answer:
44 options
Step-by-step explanation:
In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from, meaning that all 4 styles also have 11 colors to choose from and vice versa.
11 * 4 = 44
Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.
Can anyone solve this please ?
the volume of a cube is 125 in cúbicas. How long is each side?
347 is what in expanded form
Answer:
300+40+7
Step-by-step explanation:
Question 2
Keep the triangle that you created in Question 1. You will now copy the triangle to a different location on the grid using two of its angles and the included side:
In a different place on the grid, draw a new line segment of the same length as the line segment recorded in Question 1. (This will be easier if you draw the new line segment parallel or perpendicular to the corresponding line segment from Question 1.)
At each endpoint of the new line segment, create an angle of a given size. Size the angles using the angle measurements you recorded in Question 1.
Once you’ve created the angles, draw a ray through each endpoint at the specified angle measurement.
Place a point at the intersection of the two rays.
Finish copying the triangle by drawing a polygon through the three points you created.
Answer:
The triangles appear to be the same size and shape.
Step-by-step explanation:
The new triangle formed is congruent to the former one.
From question 1 the data has been revised. Which form a triangle.
Here same triangle to be determine.
Similar triangles, are those triangles which have similar properties, i.e. angles and proportionality of sides.
Here,
We have triangle from question 1 solution. While copying triangle we used to draw three sides over the measure of angles and size of the sides to get copy of triangle. The triangle obtained will be congruent to the former triangle.
Thus, the new triangle formed is congruent to the former one.
Learn more about similar triangles here:
brainly.com/question/25882965
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What is the volume of a cube that measures 3.5 inches on each edge?
72.5 in
35 in?
none of these
42.9 in
Answer:
42.9 in
Step-by-step explanation:
Volume of a cube = side cubed
V = (3.5)^3
V = 42.875
One fruit drink advertised that it contained "10% real fruit juice." In one bottle, this was found to be 4.8 oz of real juice. How many ounces is something other than fruit juice?
Answer:
43.2 oz
Step-by-step explanation:
4.8/x=10/100
simplify:
4.8/x=1/10
cross multiply:
x=48
there is 48 oz juice in total
to find the rest:
48-4.8=43.2
43.2 oz is something other than fruit juice.
Free 100 points What is the unit rate for the ratio 78 laps ? 26 miles O A. 78 laps =78 26 miles : 26 1 lap 1 mile 39 laps 0 78 laps : 2 26 miles + 2 B. 13 miles C. 1 mile 26 miles - 26 78 laps :78 1 lap D. 78 laps - 26 26 miles + 26 3 laps 1 mile
Answer:
A
Step-by-step explanation:
It’s the answer I did the math
The unit rate for the ratio is 3 laps per miles.
Given that the ratio is 78 laps/26 miles.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now,
Unit rate =78 laps/26 miles
Divide both the numerator and the denominator by 26.
So, 78 laps÷26 miles/26 miles÷26 miles
= 3 laps/miles
Therefore, the unit rate for the ratio is 3 laps per miles.
To learn more about the ratio visit:
brainly.com/question/13419413.
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Segment addition pleas help in struggling
Answer:
x = -8
Step-by-step explanation:
using what's given, you can make the following equation:
3 + 2x + 22 = x + 17
3 + 22 + 2x - x = 17
25 + x = 17
x = 17 - 25
x = -8
Answer:
Step-by-step explanation:
3 + 2x + 22= x + 17
2x + 25 = x + 17
x + 25 = 17
x = -8
3 + 2(-8) + 22 = -8 + 17
25 - 16 = 9
9 = 9
Can some please tell me what this is?
Step-by-step explanation:
This is mean domain is all real numbers
In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people.
One hundred years later, the yearly attendance was 1.7 × 106 fans.
How many times greater was the attendance in 2002 than in 1902? Enter your answer in the box. helpppppp
Answer: 1902 had 357 people and 2002 had 180.2 people so, the answer would be
176.8
Step-by-step explanation: i hope this helps
plz tell me if its wrong so i can fix it
Help help please please
If you vertically shift the quadratic parent function, F(x) = x^2, up seven units, what is the equation of the new function? A. G(x) = x^2 - 7. B. G(x) = (x + 7)^2. C. G(x) = 7x^2. D. G(x) = x^2 + 7
Answer:
D
Step-by-step explanation:
G(x) = x^2 + 7
juss took the test yw
Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.
Answer: k = {8, -8}
Step-by-step explanation:
In order for a quadratic equation to have exactly one solution, the discriminant must equal zero. → b² - 4ac = 0
4x² + kx + 4 = 0
↓ ↓ ↓
a=4 b=k c=4
b² - 4ac = 0
k² - 4(4)(4) = 0
k² = 64
k = √64
k = ± 8
3m - 3(m + 8) > 3m
A) m 8
C) m > -8
D) m < -8
lp assap
Hector is visiting a cousin who lives 360 miles away. He has driven 70 miles. How many more miles does he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.
Answer:
260 miles.
Step-by-step explanation:
350-90=260
If you see the word difference in an equation, it means to subtract. :) hope that helps
Angle b= 61, angle c=57, and =2x what does x =
Answer:
can you provide more information
Step-by-step explanation:
Find 6/11/-3. Write in simplest form
Answer:
Bit confusing but I'll try my best.
Step-by-step explanation:
6/11 diving by -3.
-2/11.
Help ASAP). Which relation is a function. Where the hand is at thats graph A across is graph B. The graph under graph a is ( graph C). Under graph B is (graph D). Need answer now please and thank you. [ I chose B but not 100% sure]
The sum of 7 and Chau's height is 48.
Answer:
7+c=48
Step-by-step explanation:
prime factorization of 60 error
Answer:
2*2*3*5
Step-by-step explanation:
Will give brain if correct segment addition
Answer:
13) 28
14) 22
15) 24
16)13
Step-by-step explanation:
13) Because they all lie on the same line, AC would be AB+BC, or 16+12, or 28.
14) Same thing as 13, 13+9=22
15) Same thing as others but make an equation
-1+2x+11=3x+3
Simplifying the equation, we get x=7. Now, we plug in x=7 to 3x+3 to get AC.
3(7)+3=21+3=24
16) build the equation:
x+14+x+10=22
2x+24=22
2x=-2
x=-1
Now plug in x=-1 to x+14.
-1+14=13
Find the GCF of 28p4 and 44p2q.
Help Please I Really Need Help
Answer:
X=5
Step-by-step explanation:
3x+4=19
3x+4-4=19-4
3x=15
15/3x=
X=5
Hope this helps!
How many combinations are possible if you select one flavor of ice cream and one
topping?
Flavors Toppings
vanilla fudge
chocolate marshmallow
strawberry caramel
Type the correct answer,
then press Enter.
At
Answer:
enter enter enter enter
faud's model racing care drives an average speed of 3 feet per second. Fuad records the distance and times in a table. At this rate, how long will it take the car to travel 21 feet?
Answer:
well 3 × 7 = 21
Step-by-step explanation:
1. 0+3=3
2. 3+3=6
3. 6+3=9
4. 9+3=12
5. 12+3=15
6. 15+3=18
7. 18+3=21
So the answer is 7