Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905
Would be great if someone could solve this for me I’m not too sure how to do it .
A rectangular prism has a volume of 750 cubic millimeters. Its length is 15 millimeters, and its width is 10 millimeters. What is its height?
50 mm
5 mm
6 mm
60 mm
Answer:
5mm
Step-by-step explanation:
A swing hangs from a beam 10 feet high, with the seat hanging 2 feet above the ground. In motion, the swing moves back and forth from -130° to -50° to the horizontal. How far forward and back does the swing move along the ground at the extremes?
Answer:
11.17 ft
Step-by-step explanation:
Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.
Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by
L = Δθ/360 × 2πr where Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ = -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.
Substituting r and Δθ into L, we have
L = -80°/360° × 2π(8 ft)
= -8/36 × 16π ft
= -32π/9 ft
= -100.53/9 ft
= -11.17 ft
Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft
if the sum of the interior angles of a polygon is 2340, how many sides does the polygon have?
Answer:
15
Step-by-step explanation:
Where n represent no.of sides
(2n-4)90=2340
180n-360=2340
180n=2340+360
180n=2700
n=15
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Answer:
wow that is so cool how do you do that
Step-by-step explanation:
Need help with this!!
Answer:
is it d?
Step-by-step explanation:
Help meeeeeee no links plz you are very kind I really appreciate people like you.
Answer:
225 ft²
Steps:
(20×10)+5² = 200+25 = 225 ft²
Answer: 225ft^2
Step-by-step explanation:
Given in the figure below, find the values of X and Z.
Answer:
x = 6 , z = 79
Step-by-step explanation:
(8x + 53) and (6x + 43) are adjacent angles and sum to 180° , that is
8x + 53 + 6x + 43 = 180 , that is
14x + 96 = 180 ( subtract 96 from both sides )
14x = 84 (divide both sides by 14 )
x = 6
Then
6x + 43 = 6(6) + 43 = 36 + 43 = 79
z and 79 are vertical angles and congruent , then
z = 79
Answer:
x = 6
z = 79
Step-by-step explanation:
We know that angles on a straight line add up to 180.
With this in mind:
(6x+43)° + (8x+53)° = 180hence 14x+96=18014x=84x=6For z:
since x = 6(8x+53)° + z° = 180101 + z = 180z = 79Another approach using the property where opposite angles are equal:
(6x+43) = z79 = zthe diameter or a circle is 2 yards. What is the circles circumference
use 3.14 for π
Answer:
diameter = 6.28 yards
Step-by-step explanation:
2 x 3.14 = 6.28
a local taxi company charges a base fare of $3.20. the taxi company charges $0.40 for every minute the taxi is in service
Answer: The equation would be x = 3.20 + 40m where m represents the minutes of service and x is the total cost.
Step-by-step explanation:
Ruby visiting San FranciscoFrom her hotel walks 1 block west and 2 blocks south to a coffee shop. Then she walks 6 blocks east and 5 blocks south to a museum.Where is the museum relation to her hotel?
PLS ANSWER THIS ASAP
Belinda went biking on Saturday and rode for 6\frac{4}{5} miles on Sunday she rode for \frac{2}{3} of the distance she rode on Sunday
Complete question :
Belinda went biking on Saturday and rode for 6 4/5 miles. On Sunday she rode for 2/3 of the distance she rode on Saturday. Write and solve an equation that will help you figure out how far Belinda rode on Sunday
Answer:
4.5333 miles
Step-by-step explanation:
Number of miles biked on Saturday = 6 4/5 miles
Miles on Sunday = 2/3 of miles biked on Saturday
To obtain the distance biked on Sunday :
Fraction of miles biked on Sunday * miles biked on Saturday
Miles biked on Sunday = 2/3 * 6 4/5
Miles biked on Sunday = 2/3 * 34/5
Miles biked on Sunday = (2 * 34) / (3 * 5) = 68/15 = 4.5333 miles
Choose Yes or No to tell if the fraction 58 will make each equation true. 815−□=37 Yes □−516=58 No 78−12=□ No 34−18=□ Yes
Answer:
815−58=37 False
58−516=58 False
78−12=58 False
34−18=58 False
Step-by-step explanation:
i just did them all on my algebra calculator and they all said false. brainliest please?
URGENT I copy and pasted and clicked the link that is going around and I was redirected however I did not download the file can someone give me answers on what will happen to my computer?
Answer: A virus or trojan will appear because my cousin actually click on the link and downloaded it and it damaged her device so don't download it those are bots who tell you to click the file or something so don't download it or your computer will be damaged
Step-by-step explanation:
this is URGENT BESTIES
Answer:
675 [tex]ft^2[/tex]
Step-by-step explanation:
The radius is 15, so replace r in the formula with 15
[tex]A=\pi 15^2[/tex]
A = 225 pi
A = 675
(using 3 for pi, since they specified)
Answer: 675
Step-by-step explanation:
Write an equation in slope-intercept form for a line with a slope of -2 that goes through the point (-5,6). show steps?
Answer:
y=-2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-2(x-(-5))
y-6=-2(x+5)
y=-2x-10+6
y=-2x-4
Do the ratios 6:4 and 4:3 form a proportion
Answer:
no
Step-by-step explanation:
what is 18k+3
asking for a friend
k as in the letter not 18,000
factor 3 out of 18k+3.
3(6k+1)
please help!! need answers ASAP
Answer:
10 minutes
Step-by-step explanation:
I'm not sure if im correct, so im sorry if im wrong.
Please help thank you.
Answer:
IM LOST!!!!
Step-by-step explanation: IM LOST!!!!
how long would it take the snail to crawl 65 inches
a 60
b 6.5
c 6
d 65
Answer:
6 minutes is the most reasonable time to crawl 65 inches.
Joel has a goal to practice his clarinet for 4 ½ hours per week. The list below shows the number of hours Joel has practiced so far this week.
Answer:
3/4 hours
Step-by-step explanation:
Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour. How many more hours does he need to practice this week to meet his goal?
Total practice hours per week = 4 1/2 hours = 9/2 hours
Hours of practice so far for the week:
Monday = 1 1/2 hours = 3/2 hours
Wednesday = 1 1/4 hours = 5/4 hours
Thursday = 1 hour
Total = Monday + Wednesday + Thursday
= 3/2 + 5/4 + 1
= (6+5+4)/4
= 15/4 hours
How many more hours does he need to practice this week to meet his goal
Hours needed to meet goal = Total practice hours per week - Hours of practice so far for the week
= 9/2 - 15/4
= (18-15)/4
= 3/4 hours
Hours needed to meet goal = 3/4 hours
pls help me out!!! ((#4))
An airplane leaves Edmonton International Airport and Flies south to Phoenix Arizona. The flight is 6h in duration and distance is 2800Km
A.) Write an equation that represents this flight.
PLEASE HELP FAST 20 POINTS!
Solve, using linear combination.
8x + y = 14
3x + y = 4
(2.0)
(2,-2)
(0.2)
(-2.2
Answer:
(2,-2)
Step-by-step explanation:
Find the area of the trapezoid !! Help pls!
Answer:
The area would be 80
PLEASE HELP IM TIMED NO LINKS :((((((( HELPPPPP
1) 56 students
2) 92 students
3) 20 students
4) 16
5) 14
6) 164
Hope this helped!
Mark brainliest if you want<3
help please im so bad at these
Answer:
i'm not sure if this is right, but this is what i got from a calculator. steps are shown in the pictures.
Step-by-step explanation:
3/4+(1/3divided by 1/6)-(-1/2)=
HURRY pls i need a answer ASAP
Answer:
Step-by-step explanation:
Answer:
3.25
Step-by-step explanation:
2 numbers a and b vary directly if ab =k, k is a constant is it correct
Answer:
No, because 2 variables vary directly only if: a = k x b OR b = k x a, being "k" the constant
Step-by-step explanation:
See above