Answer:
205 mins
Step-by-step explanation:
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.
Felicia pours 34 of a 212-liter bottle of chlorine solution into a swimming pool. Then, she measures out 38 liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
Answer:
140 liters
Step-by-step explanation:
Felicia pours 34 out of 212 liters of chlorine solution into a swimming pool
= 212-34
= 178 liters
He uses 38 liters out of the remaining solution to clean the pool filter
178-38
= 140
Hence what is left is 140 liters
Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t) models the weight of sheep (in kg) that Harry would like to swallow t hours after he wakes up. Here, t is entered in radians. H(t)=12sin(2pi/24t) + 15 What is the second time after Harry wakes up that he feels like consuming 17kg of sheep?
The second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours
How to determine the time?The function is given as:
H(t) = 12sin(2π/24t) + 15
When the weight is 17kg.
It means that:
H(t) = 17
So, we have:
H(t) = 12sin(2π/24t) + 15 and H(t) = 17
Next, we solve for t using a graphing calculator
From the graph of h(t), we have:
t = 0.64, 11.36, 24.64...... when h(t) = 17
The second time in the above list is
t = 11.36
Hence, the second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours
Read more about sine function at:
https://brainly.com/question/9565966
#SPJ1
3. Sohail needs to take a 4-day loan of $750 000 for his small business. How much interest will he need to pay if
interest is charged at 2.2% per year, simple interest?
a. $90.41
b. $542.47
d. $180.82
c. $361.64
Answer:
180.82
Step-by-step explanation:
750,000 x .022=16,500 per year
16,500/365 days =45.2055/day
45.2055 x 4 days = 180.82
Please help! I will mark brainliest.
Answer:
the correct answer is D 175
I need the correct answer please and thank you.
Answer:
1,156 I think that’s right
Step-by-step explanation:
Which is true of the proportional relationship below? Bread Recipe 10 8. 6 Flour (cups) 2. 0 1 2 3 4 5 6 Number of Eggs
Answer:
Now, you might immediately recognize that this is a proportional relationship. And remember, in order for it to be a proportional relationship, the ratio between the two variables is always constant. So, for example, if I look at y over x here, we see that y over x, here it's four over one, which is just four.
Step-by-step explanation:
where did i make a mistake?
Answer:
they reflected over the y axis instead of the x.
6x^3 +8x^2 -4x = factor this problem
help me with my math please
Answer:
[tex]C)~2~in[/tex]
Step-by-step explanation:
[tex]v=4/3 \pi r^3[/tex]
[tex]4=4/3~\pi r^3[/tex]
[tex]12/4\pi =r^3[/tex]
[tex]\sqrt{3/\pi } =\sqrt{r^3}[/tex]
[tex]0.977=r[/tex]
[tex]D=2r[/tex]
[tex]D=2(0.977)[/tex]
[tex]D=1.9544~orD=2~in[/tex]
--------------------------------
hope it helps...
have a great day!!
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
In circle with m angle NPQ=34 and NP = 14 units , find the length of arc NQ . Round to the nearest hundredth .
Answer:
8.3units
Step-by-step explanation:
formula 2πr × x/360
where x= angle of sector
therefore
2× 22/7 × 14 × 34/360 = 8.3
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
Drag each amount to the correct location on the expression
Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900 for 7 days.
Complete the expression to find Joana's average daily balance.
750
1,000
900
30
850
90
) + 10(
) + 71
)
) + 4
( )
Answer:
Average daily balance ≈ $873
Step-by-step explanation:
We are told the balance were;
$1,000 for 9 days
$750 for 10 days
$850 for 4 days
$900 for 7 days
Thus;
Average = ΣFx/Σx
Where ΣFx = (1000 × 9) + (750 × 10) + (850 × 4) + (900 × 7)
ΣFx = $26,200
Σx = 9 + 10 + 4 + 7
Σx = 30
Thus;
Average daily balance = 26200/30
Average daily balance ≈ $873
Answer:
9(1,000) + 10(750) +4(850) + 7(900)
(30)
Step-by-step explanation:
solve this the link is down below
-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.
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
Find the measure of the indicated angle.
Answer:
X=4
Step-by-step explanation:
30x+5=31x+1
x=4
Research the relevance of graphs in real-life applications. Discuss at least 3 instances where you would need the knowledge of graphs to solve day-to-day problems.
Answer:
graphs help present data in a quick and easy way, take out the most important facts and and help them be easily remembered. Graphs can be used to help make a buget. They can also help you when you are doing a presentation or report. Or even when you need to make a hard decision.
This is what I did hopefully this helps :))
does anybody know the answer??
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
Eddie built the ramp shown to train his puppy to do tricks. What is the surface area of the ramp. The dimensions are 20,20,20,23,25,25,15
Answer:
3775 in²
Step-by-step explanation:
The surface area of the ramp :
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 25 * 23 = 575 in²
Bottom rectangle = 60 * 23 = 1380 in²
For the trapezium: (front and rear)
1/2 (base 1 + base 2) * height
Base total = 20+ 20+ 20= 60
1/2(60)*15 = 450 in²
Total surface Area :
(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²
there are 20 kids in Lisa's class 60% are boys how many girls are in Lisa's class?
Answer: there are 8 girls is Lisa’s class
Step-by-step explanation:
Answer:
There are 8 girls in Lisa's class because 60% of 20 is 12 so the other 40% is the remaining number of students since you took away twelve and set it aside since it is the 60% . 12 plus 8 equals twenty and twenty students equals 100% percent.
Step-by-step explanation:
how can you use the structure of a two way frequency table to complete it
Add the following values.
(2.1 × 1016) + (3.2 × 1015)
Answer:
5381.6
Step-by-step explanation:
[tex](2.1 × 1016) + (3.2 × 1015)[/tex]
[tex] = 5381.6[/tex]
help me brainlist !!!!!
Answer:
Every number will have a 0 or 5 in its ones place
Step-by-step explanation:
Answer:
D. Every number in the pattern will have a 0 or 5 in the ones place
Step-by-step explanation:
the next to numbers are 50,25 so all numbers have 0 in the ones place except for 25 which has a 5.
CAN ANYONE TELL ME HOW TO DO THIS???
Answer:
108
Step-by-step explanation:
A straight line has an angle of 180, so to find <4 you need to subtract <2 from 180. So, 180 - 72 = 108.
What is the probability of choosing a queen, a king or an ace from a standard deck of playing cards??
Answer:
3/13
Step-by-step explanation:
There are 52 cards in a regular deck.
Among these are 4 each of K, Q and A, for a total of 12.
The probability of choosing a K, Q or A is therefore 12/52, or 3/13
Answer:
the first one 3/13 for sure :))
Point F is on the line CD. Find the measure of angle CFE
Answer:
∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°
∠ CFE + 152° = 180° ( subtract 152° from both sides )
∠ CFE = 28°
Step-by-step explanation:
Adjacent angles share the common side as well as a common vertex (corner point), and they do not overlap. If we decompose the term "adjacent angles".
Adjacent angles:Its common side and vertex will be shared by the adjacent angles.If the total of two angles equals 180°, they are said to be supplementary angles.A linear pair is created when two additional angles are next to one another. 180° is equal to the sum of two adjacent supplementary angles.We have,
∠ EFD = 152°
∠ CFE and ∠ DFE are adjacent angles and are supplementary, summing to 180°
⇒ ∠CFE + ∠EFD = 180° (Linear pair)
⇒ ∠CFE +152° = 180°
⇒ ∠CFE= 180°-152°
⇒ ∠CFE= 28°
Find out more about the adjacent angles here:
brainly.com/question/12838185
please help me please
Answer:
x= 21/16
Step-by-step explanation:
-3x+7--19x=28
-3x+19x=28-7
16×=21
×=21/16