Answer:
0.3164 = 31.64% probability the team wins all its conference games
Step-by-step explanation:
For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A football team has a probability of .75 of winning when playing any of the other four teams in its conference.
The probability means that [tex]p = 0.75[/tex], and four games means that [tex]n = 4[/tex]
If the games are independent, what is the probability the team wins all its conference games?
This is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164[/tex]
0.3164 = 31.64% probability the team wins all its conference games
Using the order of operations, what should be done first to evaluate 62 +10-(-5) (3) -5?
O Subtract 5 from 3.
Divide 10 by -5.
Add 6 and 10.
Evaluate
[tex] {6}^{2} [/tex]
Answer:
Step-by-step explanation:
Well there are 2 things you can do first.
You can multiply -5 * 3 (which is not a choice)
or you can evaluate 6^2 (which is given -- so this is what you can do first)
Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2.5 years. Assume the age a refrigerator is replaced is normally distributed.
A.) State the random variable
B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?
D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?
E.) Suppose a company guarantees refrigerators and will replace a refrigerator that breaks while under guarantee with a new one. However, the company does not want to replace more than 5% of the refrigerators under guarantee. For how long should the guarantee be made (rounded to the nearest tenth of a year)?
F.) If it turns out that 40$ of all new refrigerators need to be replaced withing 10.5 years, is there an issue with the manufacturing process? Have some numbers to back up your reasoning.
Answer:
a.) Average life of a refrigerator
b.) 0.1151
c.) 0.0548
d.) 0.6472225
Step-by-step explanation:
Given that :
Average life before replacement, mean, m = 14 years
Standard deviation, σ = 2 years
A.)
The random variable is the variable which is being measured.
B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
Fewer than 11 years, P(x < 11)
We need to obtain the Z probability, at P(Z < 11)
The Zscore = (x - mean) / standard deviation
Zscore = (11 - 14) / 2.5 = - 1.2
P(Z < - 1.2) = 0.1151
C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?
More than 18 years, P(x > 18)
We need to obtain the Z probability, at P(Z > 18)
The Zscore = (x - mean) / standard deviation
Zscore = (18 - 14) / 2.5 = 1.6
P(Z > 1.6) = 0.0548
D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?
P(x < 8)
The Zscore = (x - mean) / standard deviation
Zscore = (8 - 14) / 2.5 = - 2.4
P(Z < - 2.4) = 0.0081975
P(x < 15)
The Zscore = (x - mean) / standard deviation
Zscore = (15 - 14) / 2.5 = 0.4
P(Z < 0.4) = 0.65542
P(Z < 0.4) - P(Z < - 2.4)
0.65542 - 0.0081975 = 0.6472225
find the value of x if y=2.5 on the graph of 2x-1=y
Answer:
2x - 1 = y
2x - 1 = 2.5
Use inverse operations
2.5 + 1 = 3.5
3.5 / 2 = 1.75
2 x 1.75 - 1 = 2.5
x = 1.75
El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?
Answer:
11.7
Step-by-step explanation:
39.1 - 9.2 = 29.9
29.9 - 18.2 = 11.7
helppppppppppppppppppppppppppppppppp
Answer:
b. (1, 13).
Step-by-step explanation:
Here's a pic of my work. You can put either equation on the other side of the equal sign, because they both equal Y. therefore, they equal each other.
HELP ME PLEASE I ONLY HAVE 30 MINUTES
What is the value of n in the equation below?
Power with the same base
31) y = 4x ∙ 5x ∙ 6x3 at x = 1. Give your answer exactly as just a(b ± ln c) where a, b, and c are integers.
Answer:
huuujjjjjjjjjjjjjiiikkkk
If I start a trip driving at x mph for a hrs and then go 5 mph slower for the next two hours what is the total distance I traveled? WILL GIVE BRAINLIES T IF ANSWER IS RIGHT!!!!
Answer:
Step-by-step explanation:
a hours × (x miles)/hour = ax miles
2 hours × (x-5 miles)/hour = 2x-10 miles
total distance = ax + 2x-10 = (a+2)x - 10 miles
what's a expression of 6 groups of 4
Answer:
x=6*4
Step-by-step explanation:
Please help I’m in an hour of need
Answer:
x = 107 degrees
Step-by-step explanation:
A line is 180 degrees so first, find the other angle by doing 180 - 160 which gives you 20 degrees.
The angles of a triangle add up to 180 degrees, so do 180-53-20, which gives you 107 degrees as the value of x.
Points plz plz plz awnser
Answer:
[tex]\frac{1}{6\\}[/tex]
Explanation:
Probability = [tex]\frac{Number of outcomes}{Total possible outcomes}[/tex]
In this case Number of outcomes is 1, that is 6
And total number of outcomes = 6 (Because there are six sides of a dice)
So the probability = [tex]\frac{1}{6\\}[/tex]
Hope it helps :)
Answer:
i think the answer will be 2
Identify the variable expression that is not a
polynomial.
Gopi paid 25% of his salary as tax and spent of his salary on groceries. The remaining amount of Rs.2500 was his savings. Find his salary and the tax amount paid.
Answer:
his salary is rs 6000 & his tax amount is rs 1500 :)
Answer:
6000,1500
Step-by-step explanation:
Let Gopi's salary be 'x'
He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4
He spent 1/3 of his salary on groceries = x/3
Getting his salary:-
x-x/3-x/4=2500
(12x-4x-3x)/12=2500
5x/12=2500
x=
(2500x12)/5
x=500x12=6000
Tax amount:-
6000x25/100=1500
Express the area of the entire rectangle.
Your answer should be a polynomial in standard
form. X+6 top x+ 2 side
I will mark the brainliest!
Answer:
x^2 + 8x + 12
Step-by-step explanation:
The area is in 4 parts:
x * x,
x * 2,
6 * x, and
2 * 6
So it is x^2 + 2x + 6x + 12, or
x^2 + 8x + 12
Answer:
[tex]x^{2}[/tex]+8[tex]x[/tex]+12
Step-by-step explanation:
(x·x) + (6·x) + (x·2) + (6·2)
[tex]x^{2}[/tex]+6[tex]x[/tex]+2[tex]x[/tex]+12
[tex]x^{2}[/tex]+8[tex]x[/tex]+12
:) ur welcome
Ayuda!!! no entiendo lo necesito con procedimiento y cuentas porfavor es urgente !??!!!
Answer:
1- El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.
2- El 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.
Step-by-step explanation:
1- Dado que en dos localidades hay habitantes que hablan una lengua distinta al español, de las cuales en El Cerrito son 3 de cada 4 mientras que en El Paseo son 5 de cada 7, para determinar en cuál de las dos localidades hay un número mayor de hablantes de una lengua distinta al español, y determinar la diferencia entre ambas localidades, se deben realizar los siguientes cálculos:
4 = 100
3 = X
3 x 100 / 4 = 75
7 = 100
5 = X
5 x 100 / 7 = 71.42
Por lo tanto, en El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.
2- Dado que en una escuela del poblado El Cerrito, 18 de los 30 alumnos del grupo 6ºA aprobaron el examen de matemáticas, mientras que en el grupo 6ºB lo hicieron 32 de los 40 alumnos, para determinar qué grupo obtuvo mejores resultados y cuál es la diferencia entre ambos grupos se deben realizar los siguientes cálculos:
30 = 100
18 = X
18 x 100 / 30 = 60
40 = 100
32 = X
32 x 100 / 40 = 80
Por lo tanto, el 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.
NO LINKS OR FILES. Explain how to evaluate 5p + (-6) when p = -4. Please give an explanation.
Answer:
-26
Step-by-step explanation:
5p + (-6)
Let p=-4
5(-4) + (-6)
Multiply
-20 +-6
Add
-26
Answer:
p=-4 which means that you do 5*-4-6 then you apply order of operations by multiplying first then you sub tract, so your answer is -26
Step-by-step explanation:
If the function for predicting the growth of a population is F = 4.9(1.014)t. Based on the function, which statement accurately describes the growth rate?
A. The population is growing at a rate of 1.4%.
B. The population is growing at a rate of 4.9%.
C. The population is growing at a rate of 0.014%.
D. The population is growing at a rate of 0.14%.
Answer: B
Step-by-step explanation:
Manipulate the radius of the sphere, setting it to different values. in the table below, record each radius you chose and the exact volume of the sphere. Also calculate the decimal value of each volume, and verify that it matches the volume displayed by the tool.
Answer:
1,9,972
2,6,288
3,12,2304
Step-by-step explanation:
A basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 52 baskets and 11 more 2-pointers than foul shots. How many shots of each kind were made?
Answer:
The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Step-by-step explanation:
Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:
19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112
9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97
7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94
Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Find the value of y, in the image below:
9514 1404 393
Answer:
125
Step-by-step explanation:
The sum of exterior angles of a convex polygon is 360°. So, y is ...
y° = 360° -40° -65° -60° -70° = 125°
y = 125
Solve for x:
4(x - 4) + 4 - 10x = 30
Answer:
-7
Step-by-step explanation:
Answer:
x= -7
Step-by-step explanation:
I need anyone’s help please. I will give the best answer brainliest.
Your mom suggested ten different choices for you to eat for dinner over the next week. How many different ways can you choose your dinner?
A. 120
B. 240
C. 720
D. 960
No fake answers or links pls.
120 different ways can you choose your dinner.
Given that, your mom suggested ten different choices for you to eat for dinner over the next week.
What is a combination formula?In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.
The combination formula is [tex]nC_{r} =\frac{n!}{r!(n-r)!}[/tex]
Here, n= number of sample points 10
r= number of sample points in each combination 7
Now, [tex]10C_{7} =\frac{10!}{7!(10-7)!}[/tex]
⇒[tex]10C_{7} =\frac{10!}{7!.3!}[/tex]=120
Hence, 120 different ways can you choose your dinner.
To learn more about the combinations visit:
https://brainly.com/question/13387529.
#SPJ2
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09
Answer:
b. $0.02[tex]/in^3[/tex]
Step-by-step explanation:
Given
[tex]r =1in[/tex]
[tex]h = 10in[/tex]
[tex]Cost_{1pk} =\$3[/tex]
[tex]Cost_{2pk} =\$5[/tex]
Required
The difference in the price per [tex]in^3[/tex]
First, calculate the volume (V) of the cylinder
[tex]V = \pi r^2h[/tex]
[tex]V = 3.14 *1^2 * 10[/tex]
[tex]V = 31.4[/tex]
The unit cost of 1 pack is:
[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]
[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]
The unit cost of 2 packs is:
[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]
The difference (d) is:
[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]
[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]
Take LCM
[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]
[tex]d = \frac{\$1}{62.8in^3}[/tex]
[tex]d = \$0.0159/in^3[/tex]
Approximate
[tex]d = \$0.02/in^3[/tex]
Answer:
b)
Step-by-step explanation:
had it on my quiz also give other dude brainliest.
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The circumference of a circle is 21.3mm.
Find the length of the radius.
Give your answer rounded to 1 DP
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Answer:
r =3.4 mm
Step-by-step explanation:
circumference of a circle = 2πr
21.3 = 2*3.14*r
21.3 = 6.28*r
21.3 / 6.28 = r
3.39 = r
3.4 = r
How do u do parabola
Answer:
Step-by-step explanation:
Finding the vertex or the end of the shape.
Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .
Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist.
Make sure that you've got at least one point to either side of the vertex. ...
Sketch the graph.
Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes
Answer:
7 hours and 15 minutes
6 hours hours and 45 minutes
5 hours and 12 minutes
6 hours and 10 minutes
Step-by-step explanation:
MON: 7 1/4 hours
= 7 hours and 1/4 hours
1/4 hours = 1/4 × 60 minutes
= 60/4 minutes
= 15 minutes
7 1/4 hours = 7 hours and 15 minutes
TUE: 6 3/4 hours
= 6 hours and 3/4 hours
3/4 hours = 3/4 × 60 minutes
= 180/4 minutes
= 45 minutes
6 3/4 = 6 hours hours and 45 minutes
WED: 5 1/5 hours
= 5 hours and 1/5 hours
1/5 hours = 1/5 × 60 minutes
= 60/5 minutes
= 12 minutes
5 1/5 hours = 5 hours and 12 minutes
THU: 6 1/10 hours
= 6 hours and 1/10 hours
1/10 hours = 1/10 × 60 minutes
= 60/10 minutes
= 6 minutes
6 1/10 hours = 6 hours and 10 minutes
Please select the correct inequality sign.
Answer:
7.67 > 7.64799
1.5566876 < 1.565687
write the next steps
Answer:
Two steps:
a) 12345×8+5=98765
b)123456×8+6=987654
to make salsa andy needs 12 tomatoes and 4 jalapenos if Andy only has 9 tomatoes how many jalapenos should he use to make salsa?
A.1 jalapenos
B.3 jalapenos
C.4 jalapenos
D. 5 jalapenos
please I need this
Answer:
B. 3
Step-by-step explanation:
Andy needs 1 jalapeno for every 3 tomatoes so if he only has 9, 9÷3=3
