Answer:
"The square root of 12 is represented in the radical form as √12, which is equal to 2√3. Since 2√3 cannot be further simplified, hence such roots are called surds"
Step-by-step explanation: I just looked it up-
A basketball player has a 0.654 probability of making a free throw. If the player shoots 13 free throws, what is the probability that she makes less than 6 of them?
Insert the correct symbol to represent this probability.
Provide your answer below:
P(X
5)
Using the binomial distribution, it is found that there is a 0.0432 = 4.32% probability that she makes less than 6 of them.
-----------------------
For each throw, there are only two possible outcomes. Either she makes it, or she misses it. The probability of making a throw is independent of any other throw, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
x is the number of successes. n is the number of trials.p is the probability of a success on a single trial.The probability of making less than 6 is:
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{13,0}.(0.654)^{0}.(0.346)^{13} \approx 0[/tex]
[tex]P(X = 1) = C_{13,1}.(0.654)^{1}.(0.346)^{12} \approx 0[/tex]
[tex]P(X = 2) = C_{13,2}.(0.654)^{2}.(0.346)^{11} = 0.0003[/tex]
[tex]P(X = 3) = C_{13,3}.(0.654)^{3}.(0.346)^{10} = 0.0020[/tex]
[tex]P(X = 4) = C_{13,4}.(0.654)^{4}.(0.346)^{9} = 0.0093[/tex]
[tex]P(X = 5) = C_{13,5}.(0.654)^{5}.(0.346)^{8} = 0.0316[/tex]
Then
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0 + 0 + 0.0003 + 0.0020 + 0.0093 + 0.0316 = 0.0432[/tex]
0.0432 = 4.32% probability that she makes less than 6 of them.
A similar problem is given at https://brainly.com/question/24756209
If the amount of time to prepare and deliver a pizza from MOD PIZZA is normally distributed with a mean of 20 minutes and standard deviation of 5 minutes.
Determine the percent of pizzas that were prepared and delivered:
(a) Between 20 and 25 minutes (b) In less than 18 minutes
( c ) If MOD PIZZA advertises that the Pizza is free if it takes more than 30 minutes to deliver, what percent of the pizza will be free?
I need to answer a,b and c - it is not mutiple choice. I also need to show all relevant steps and plus I really want to understand how to do this! I am completely stuck on this one and its due tonight. Please help!! :) Ill give badges, brainliest, thanks, all of that for whoever can help me!
Using the normal distribution, we have that:
a) 34.13% of pizzas were prepared and delivered between 20 and 25 minutes.
b) 34.46% of pizzas were prepared and delivered in less than 18 minutes.
c) 2.28% of the pizza will be free.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 20, \sigma = 5[/tex]
For item a, the probability is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:
X = 25:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 20}{5}[/tex]
Z = 1
Z = 1 has a p-value of 0.8413.
X = 20:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 20}{5}[/tex]
Z = 0
Z = 0 has a p-value of 0.5.
0.8413 - 0.5 = 0.3413.
Hence 34.13% of pizzas were prepared and delivered between 20 and 25 minutes.
For item b, the probability is the p-value of Z when X = 18, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18 - 20}{5}[/tex]
Z = -0.4
Z = -0.4 has a p-value of 0.3446.
34.46% of pizzas were prepared and delivered in less than 18 minutes.
For item c, the proportion is one subtracted by the p-value of Z when X = 30, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 20}{5}[/tex]
Z = 2
Z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228, hence 2.28% of the pizza will be free.
More can be learned about the normal distribution at https://brainly.com/question/28135235
#SPJ1
Does anyone know of an answer key for these math pages? pt.1
Answer:
mathwaaaaay
Step-by-step explanation:
its dont have all those a's in it tho
Factor x2 - 10x + 24
A. (x+3)(x + 8)
B. (x+12)(x+2)
C. (x – 12) (x - 2)
D. (x + 4) (x + 6)
E. (x - 4) (x - 6)
Answer:
Option E
The answer is (x - 4) (x - 6)
Step-by-step explanation:
x² - 10x + 24
x² - 6x - 4x + 24
x(x - 6) - 4(x - 6)
(x - 4) (x - 6)
Thus, The answer is (x - 4) (x - 6)
-TheUnknownScientist
Which of the following describes p/2 in the expression above?
what is the square root of 6144
Answer:
78.38
Step-by-step explanation:
Answer:
Square root of 6144
Step-by-step explanation:
78.3836717691
A jockey will ride horses in 10 different races at a race track today. The number of races that the jockey will win is what type of random variable
Answer:
X is a discrete Random variable where X is the number of races Jockey can win.
Step-by-step explanation:
To find - A jockey will ride horses in 10 different races at a race track today.
The number of races that the jockey will win is what type of random variable ?
Proof -
Given that,
A jockey will ride horses in 10 different races at a race track today.
Let us assume that,
X is the number of races Jockey can win
So,
X can take value 0, 1, 2, 3, ......10
As,
It can take countable finite values
So,
X is a discrete Random variable
∴ we get
X is a discrete Random variable where X is the number of races Jockey can win.
Use -b/2a to find x and then substitute your answer to find y.
Find the 67th term of the following arithmetic sequence.
5, 11, 17, 23, ??
Answer:
401
Step-by-step explanation:
a = 5
d = [tex]a_2[/tex] - a
= 11 - 5
= 6
[tex]a_{67}[/tex]= a + (n-1)d
= 5 + (67-1)6
= 5 + 66 × 6
= 5 + 396
= 401
Answer:
401. is your correct answer.
un ascensor se encuentra en la duodécima planta de un edificio, sube 10 pisos, despues en baja 1, en sube 3 y en baja 5. ¿En qué planta se encuentra en el final?
Answer:
It is in the plant 19.
Step-by-step explanation:
An equation parallel to y = 3/2 * x - 4
List 3 values that would make this inequality true. 10≥2n
10
0
5
8
6
7
2
Answer:
0, 2, 5
Step-by-step explanation:
10 ≥ 2n
Divide both sides by 2
5 ≥ n
Flip
n ≤ 5
Values less than or equal to 5
0, 2, 5
a
1/4
b
1/2
c
3/4
d
1
Answer: B. 1/2
2 tooth pick touching out of the 5 that is 2/5. 2.5/5 is one half so that 1/2 half is really close to a half.
This is measure of angle b
Step-by-step explanation:
1) 180-125=55°
2) 90-67=23°
3) 180-102=78°
4) 90-30=60°
5) 180-129=51°
6) 180-155=25°
Can someone help me? It would mean the world if u helped me have a nice day! <3
500 ml water 4 times a day = 500x4= 2000 ml water per day
there are 7 days in a week so,
2000 x 7 = 14000 ml
1000mililitre = 1 litre
14000ml = 14 L per week
4. Sharlene walked 7 2/11
km to school an 2 8/11
km to the park. How many
Kilometers dild she walk in all
Answer:
9 10/11 km
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
7 2/11 km to school
Another 2 8/11 km to the park
Step 2: Find Total
Add: 9 10/11 kmWhat is the smaller zero of y = r2 – 6x + 8
Answer:
i think it's 27
Step-by-step explanation:
sorry if im wrong
it takes electricians 36 days to wire a new housing subdivision. how many days would 32 electricians take to do the same job?
Answer:
The 32 electricians will take 1 day and 3 hours to complete the wiring.
Step-by-step explanation:
Since it takes electricians 36 days to wire a new housing subdivision, to determine how many days would 32 electricians take to do the same job the following calculation must be performed:
36/32 = X
1.125 = X
1 = 24
0.125 = X
0.125 x 24 = X
3 = X
Therefore, the 32 electricians will take 1 day and 3 hours to complete the wiring.
Lloyd is standing near a power line pole as shown in the figure. When his head touches the support wire, he is 2 feet from
where the wire meets the ground.
If Lloyd is 5 feet tall, how tall is the power line pole?
A. 20 feet
B. 15 feet
C. 80 feet
D. 17 feet
Answer:
B
Step-by-step explanation:
Members of a basketball team are reviewing their scores from the last several games. They record their point totals in the stem-and-leaf plot shown.
Use the drop-down menu below to answer the question about the stem-and-leaf plot.
Answer:
13 games
Step-by-step explanation:
Answer:
13 games
Step-by-step explanation:
What is the perimeter of the shape below
Answer:
Show the shape.
Step-by-step explanation:
Answer:
You didn't attach any work.
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
<1= 62
•it is 62 because it is an alternate interior angle which is congruent
<2= 83
• when you add the given angles 62 and 35 you get 97 and a triangle is 180 so you subtract 97 from 180
<3=35
• it is 35 because it is an alternate interior angle which is congruent
Step-by-step explanation:
62+35= 97
180-97= 83
match the base to the corresponding height
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The base and height are perpendicular to each other. In each case, there is only one figure having a labeled h segment perpendicular to the labeled b.
Sally has 2 pets in her house. The weight of her dog is 50 pounds and the weight of her cat is 12 pounds. By how much is the weight of the dog more than the weight of the cat?
A. 38 lb.
B. 30 lb.
C. 28 lb.
D. 20 lb.
Answer:
the answer is A. 38lb.
i hope this helps :)
Step-by-step explanation:
ILL MWRK
BRAINLYEST IF
CORRECT IM CHINKING RHE ANSWER WHEN DINE PLZ HELP PLZ
Answer:
<1 and <3
They are verticle angles.
Answer: <1 and <3
Hope this helps :D
Pls don’t mad if this is wrong
[tex]x {}^{2} \div a + y {}^{2} \div b = 1[/tex]
find x
Answer:
[tex]x=\sqrt{\dfrac{a(b-y^2)}{b}}[/tex]
Step-by-step explanation:
The given equation is :
[tex]x^2\div a+y^2\div b=1[/tex]
We need to find the value of x.
It can also written as :
[tex]\dfrac{x^2}{a}+\dfrac{y^2}{b}=1[/tex]
Subtract [tex]\dfrac{y^2}{b}[/tex] from both sides,
[tex]\dfrac{x^2}{a}+\dfrac{y^2}{b}-\dfrac{y^2}{b}=1-\dfrac{y^2}{b}\\\\\dfrac{x^2}{a}=\dfrac{b-y^2}{b}\\\\\text{Cross multiplying both sides}\\\\x^2=\dfrac{a(b-y^2)}{b}\\\\x=\sqrt{\dfrac{a(b-y^2)}{b}}[/tex]
Hence, the value of x is equal to [tex]\sqrt{\dfrac{a(b-y^2)}{b}}[/tex].
Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Circles A, B, and C overlap. Circles A and B overlap. Circle C is to the side. Circles A, B, and C are shown. They do not overlap. Circles A and C overlap, and circles C and B overlap.
Answer:
correct its d
Step-by-step explanation:
The perimeter of the traingle below is 8x-6
Rewrite the equation below so that it does not have fractions. 4/9x-2=5/6
Answer:
0.44x-2=0.83
Step-by-step explanation:
There are ten shirts in your closet, four blue and six green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear a blue shirt on Monday and a green shirt on Tuesday
this is very simple. so basically u need statistic for the persetage of finding the answer. basically what jm saying is if u wear a blue shirt on monday and green on tuesday. then thertiocially u should wear a opsiote the following week. hope rhis helps :)