Answer:
240 cm
Step-by-step explanation:
8x=12(x-10)
8x = 12x -120
120 = 4x
30 = x
The Slow Ball Challenge or The Fast Ball Challenge.
The Slow Ball Challenge: There will be 7 pitches, each at 60 mph. Diego estimates
that he will hit each individual pitch 80% of the time. If Diego can hit all 7 pitches, he
will win a total of $60; otherwise he will lose $10.
The Fast Ball Challenge: There will be 3 pitches, each at 90 mph. Diego estimates
that he will hit each individual pitch 70% of the time. If Diego can hit all 3 pitches, he
will win a total of $60; otherwise he will lose $10.
Which challenge should he choose?
Fast: 4.68
Slow: 4.68
Fast: 14.01
Slow: 14.01
G
Answer:
Fast ball challenge
Step-by-step explanation:
Given
Slow Ball Challenge
[tex]Pitches = 7[/tex]
[tex]P(Hit) = 80\%[/tex]
[tex]Win = \$60[/tex]
[tex]Lost = \$10[/tex]
Fast Ball Challenge
[tex]Pitches = 3[/tex]
[tex]P(Hit) = 70\%[/tex]
[tex]Win = \$60[/tex]
[tex]Lost = \$10[/tex]
Required
Which should he choose?
To do this, we simply calculate the expected earnings of both.
Considering the slow ball challenge
First, we calculate the binomial probability that he hits all 7 pitches
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where
[tex]n = 7[/tex] --- pitches
[tex]x = 7[/tex] --- all hits
[tex]p = 80\% = 0.80[/tex] --- probability of hit
So, we have:
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
[tex]P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}[/tex]
[tex]P(7) =1 * 0.80^7 * (1 - 0.80)^0[/tex]
[tex]P(7) =1 * 0.80^7 * 0.20^0[/tex]
Using a calculator:
[tex]P(7) =0.2097152[/tex] --- This is the probability that he wins
i.e.
[tex]P(Win) =0.2097152[/tex]
The probability that he lose is:
[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule
[tex]P(Lose) = 1 -0.2097152[/tex]
[tex]P(Lose) = 0.7902848[/tex]
The expected value is then calculated as:
[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]
[tex]Expected = 0.2097152 * \$60 + 0.7902848 * \$10[/tex]
Using a calculator, we have:
[tex]Expected = \$20.48576[/tex]
Considering the fast ball challenge
First, we calculate the binomial probability that he hits all 3 pitches
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where
[tex]n = 3[/tex] --- pitches
[tex]x = 3[/tex] --- all hits
[tex]p = 70\% = 0.70[/tex] --- probability of hit
So, we have:
[tex]P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}[/tex]
[tex]P(3) =1 * 0.70^3 * (1 - 0.70)^0[/tex]
[tex]P(3) =1 * 0.70^3 * 0.30^0[/tex]
Using a calculator:
[tex]P(3) =0.343[/tex] --- This is the probability that he wins
i.e.
[tex]P(Win) =0.343[/tex]
The probability that he lose is:
[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule
[tex]P(Lose) = 1 - 0.343[/tex]
[tex]P(Lose) = 0.657[/tex]
The expected value is then calculated as:
[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]
[tex]Expected = 0.343 * \$60 + 0.657 * \$10[/tex]
Using a calculator, we have:
[tex]Expected = \$27.15[/tex]
So, we have:
[tex]Expected = \$20.48576[/tex] -- Slow ball
[tex]Expected = \$27.15[/tex] --- Fast ball
The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.
Awnser and show your work <3
Answer:
-14
Step-by-step explanation:
isolate x's on one side so subtract 8.5x and add 1 on both sides
[tex]-14 = 1x[/tex]
simplifies to
x = -14
Help pls guy I love you that was along time it since I just want to review
#3 Find the r and the surface area
Answer:
r will be half of your diameter so 11 divided by 2 = 5.5 is your new radius.
To find surface area we use the basic formula:
4πr^2
4 x 3.14 x 30.25(radius squared, 5.5 x 5.5 = 30.25) = 379.94 ft^2 is your surface area
1. If it takes 56 square inches of paper to wrap a label around a can of soup that is 7 inches tall, how far
is it around the can?
A.6 inches
inches
B. 10 inches
C. 8 inches
D. 9 inches
Answer:
c 8 inches
Step-by-step explanation:
3(m - n + 2) + 6 - m
Step-by-step explanation:
Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (0,3), (4,0), (4,3)
Answer: rectangle not sure tho
Step-by-step explanation:
Answer:
Step-by-step explanation:
i chose B:square, i out in the points and that what shape came up. srry if im wrong
Pease help this is due sopn
Answer:
value of a=90-24=66
value of b=90+66=156
value of c,
c-18=24
c=24+18=42
A circular sheet was cut to make cone without a base of slant height equal to 7 m. If the net of the cone has a perimeter of 47 m, what percentage of the circular sheet of paper was used to make the cone?
a. 80%
b. 25%
c. 75%
d. 60%
Answer:
75%
Step-by-step explanation:
The cost to rent a surfboard at the beach is $10.25 an hour plus an insurance fee of $25. Keith spent $55.75 when renting a surfboard on a recent trip to the beach. For how many hours did Keith rent the surfboard?
Answer: Keith spent 3 hours renting the surfboard.
Step-by-step explanation:
h=hour
10.25h+25=55.75
55.75-25= 30.75
30.75/10.25= 3
and if you want to check you can do
10.25(3)+25=
which would equal to 55.75
may someone help me please and thank you, how do u find an equivalent fraction?? :)
Here are the ways that you can find an equivalent fraction:
Multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.
Answer:
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.
Step-by-step explanation:
help me figure out this question please
Answer:
A
Step-by-step explanation:
Radius = 3.25
Base = πr² = π(3.25)²
Height = 12
Volume = Bh = π(3.25)²(12)
please help me please
Answer:
x= 21/16
Step-by-step explanation:
-3x+7--19x=28
-3x+19x=28-7
16×=21
×=21/16
Which of the following is not a Pythagorean triple?
O A. (5, 12, 13)
O B. (6, 8, 10)
O C. (9, 12, 15)
O D. (4,6,7)
Option D is correct, the pair (4,6,7) is not a Pythagorean triple
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
A Pythagorean triple is a set of three positive integers a, b, and c that satisfy this theorem (a² + b² = c²).
Checking each of the given options, we have:
A. (5, 12, 13):
5² + 12² = 25 + 144 = 169 = 13². This is a Pythagorean triple.
B. (6, 8, 10):
6² + 8² = 36 + 64 = 100 = 10². This is also a Pythagorean triple.
C. (9, 12, 15):
9² + 12² = 81 + 144 = 225 = 15². This is a Pythagorean triple.
D. (4, 6, 7):
4² + 6² = 16 + 36 = 52 ≠ 7². This is not a Pythagorean triple.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ1
Herman joins three of his friends at the movies. They decide to share a jumbo box of popcorn to save money. A jumbo box is twelve inches on all sides. What is the volume of a jumbo box of popcorn?
Answer:
$4.25
Step-by-step explanation:
Let price of drink be x
price of tub y
You have 4x+2y=32.5 (1) and
x = y -3.5 (2)
Plug for x from (2) into (1):
4(y-3.5) + 2y = 32.5
4y -14 +2y = 32.5
6y = 14+32.5
y = (46.5)/6 = $7.75 the price of tub
x= y-3.5 = 7.75 - 3.5 = $4.25
a circle is drawn in a coordinate plane centered at (8,15) and a radius of 3 units.
Answer:
(x - 8)² + (y - 15)² = 9
Step-by-step explanation:
Assuming you want the equation.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (8, 15 ) and r = 3 , then
(x - 8)² + (y - 15)² = 9
how do i do c? helppppppppppppppp
Answer:
Step-by-step explanation:
Which graph represents this table of an arithmetic sequence?
Answer:
the x axis contains the arithmetic sequence
WILL MARK BRAINLIEST
Let Events A and B be described as follows:
P(A) = doing yard work
P(B) = it raining
The probability that it will rain this weekend is 68% The probability of doing yard work this weekend and it raining is15%. If the probability of doing yard work is 53%, are doing yard work and it raining independent?
solve for the value of y
Answer:
y=8
Step-by-step explanation:
the sum of the three angles is 180
57 + 90 + 5y-7 = 180
5y + 140 = 180
5y = 40
y = 8
A(n) _______ is a mapping that does not change the size of the original figure.
A. Isometry
B. Mapping
C. Image
D. Preimage
Answer:
A(n) isometry is a mapping that does not change the size of the original figure.
Answer:
Isometry
Step-by-step explanation:
Isometry is a mapping that does not change the size of the original figure.
Please help What is the value of x. Look at picture.
Answer:
x = 50
Step-by-step explanation:
3x - 10 and 2(x + 10) are vertical angles and congruent , so
3x - 30 = 2(x + 10)
3x - 30 = 2x + 20 ( subtract 2x from both sides )
x - 30 = 20 ( add 30 to both sides )
x = 50
Roediger and Karpicke (2006) investigated whether the test-enhanced learning effect (the demonstration that repeated testing improves memory for material) was due merely to repeated exposure to material. They randomly assigned participants to one of two study conditions (study-study or study-test) and to one of three retention interval conditions (final test at a delay of 5 minutes, 2 days, or 1 week). The dependent variable was the proportion of idea units recalled from an encyclopedia passage. How many cells does this study have
Answer:
6 cells
Step-by-step explanation:
2 by 3 between groups ANOVA will be performed where independent variables are 2 and dependent variables are 3.There are total 6 cells
Independent Var 1 Independent Var 2
Dependent Var 1 1*1 1*2
D. VAr 2 2*1 2*2
D. Var 3 3*1 3*2
There are total six cells.
Study-Study Study-Test
5 minutes, 1*1 1*2
2 days, 2*1 2*2
1 week 3*1 3*2
hi! please help i’ll give brainliest
Answer:
A because the river is fastest at that shore
Step-by-step explanation:
See above to see question
Answer:
A)65°
B)110°
C)50°
D)55°
E)80°
Step-by-step explanation:
Since the angle on a straight line should be 180, you simply subtract the given angles from 180
hope I helped
-4/9x-5/72x+1/8x= -56 please help me guys
Answer:
[tex]x=144[/tex]
Step-by-step explanation:
Therefore, [tex]x=144[/tex] should be your final answer.
MAth problem
Need help asap please
Answer:
m 2 = 33 degrees
m 4 = 24.555
Step-by-step explanation:
3/33 = (2) 5 - 1
35.44329 - 5 (4) = 3.8
6x^3 +8x^2 -4x = factor this problem
The first row of a theater has 16 seats. There are 3 more seats in each row thereafter. How many seats are in the 25th row/
Answer: 88
Step-by-step explanation:
Given
The first row has 16 seats
then there are 3 more seats in each row
this follows an AP with the first term [tex]a=16[/tex] and common difference [tex]d=3[/tex]
So, no of seats in the 25 th row is
[tex]\Rightarrow a_{25}=a+24d\\\Rightarrow a_{25}=16+3\times 24\\\Rightarrow a_{25}=88[/tex]
Thus, there are 88 seats in the 25 th row
Someone plz help me
Answer:
If you are finding the volume the answer is (3x4)x4
Step-by-step explanation:
Formula for the volume of a rectangular prism is length times width times height