Using the binomial distribution, it is found that there is a 0.3472 = 34.72% probability that it comes up five exactly once.
For each dice that is rolled, there are only two possible outcomes, either it comes up 5, or it does not. The probability of a dice coming up 5 is independent of any other dice, which means that the binomial 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]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are three throws, hence [tex]n = 3[/tex].A five is one of the six sides, hence [tex]p = \frac{1}{6} = 0.1667[/tex]The probability that it comes up five exactly once is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.1667)^{1}.(0.8333)^{2} = 0.3472[/tex]
0.3472 = 34.72% probability that it comes up five exactly once.
A similar problem is given at https://brainly.com/question/24863377
Write a linear function f
with f(5)=−1
and f(0)=−5
.
Answer:
f(x) = 4/5x - 5
Step-by-step explanation:
y-mx+b
m=-5-(-1)/0-5=4/5
y = 4/5x + (-5)
y = 4/5x - 5
-4x^2+64x+256=0 completing the square
[tex]-4x^2 +64x +256 =0\\\\\implies x^2 -16x -64 =0\\\\\implies x^2 - 2 \cdot 8 \cdot x + 8^2 -8^2 -64=0\\\\\implies (x-8)^2 -128 =0\\\\\implies (x-8)^2 = 128\\\\\implies x-8 = \pm\sqrt{128} = \pm \sqrt{64 \times 2} = \pm 8\sqrt 2\\\\\implies x = 8 \pm 8\sqrt2\\\\\text{Hence,}~ x = 8+ 8\sqrt 2~\text{or}~ x = 8 - 8\sqrt 2[/tex]
Find the measure of
Answer:
Step-by-step explanation:
180 - (180 - 102) - (180 - 123) = 180 - 78 - 57 = 45°
Find the value of x that makes the equation true:
x + 3 = 4
a. x = 12
b. x = 2
c. x = 1
d. x = 7
9w=8w-5
[tex]9w=8w-5[/tex]
Answer:
9w=8w-5
collect like terms
9w-8w=-5
w=-5
Expand the function.
f(x) = (2x + 3)4
Answer:
y = 8x + 12
Step-by-step explanation:
y = (2x + 3)4
Distribute the 4 to the 2x and 3
y = 8x + 12
^ Expanded form
can someone heelp me plz plz
Answer:
d)fluid ounce may be right answer
dur rn help pls ))))))))))
I believe it is a because I had a question just like that in 8th grade
A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?
Answer:
24000000
(might not be correct)
Step-by-step explanation:
might not be right but ill try:
ten digits: 10
4times:10x10x10x10=10000
times a letter:24 letters= 10000x24=240000
time three digits: 10x10x10=100x240000=24000000
The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.
What is permutation and combination?Permutation and combination are the ways of counting.
Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.
Given that,
The hotel reservation number contains 4 digits, 1 letter and then 3 digits.
Now, there are two possible cases for the given problem as follows,
Case 1 : The digits are repeating.
Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,
10 × 10 × 10 × 10 × 26 × 10 × 10 × 10
= 260000000
Case 2 : The digits are not repeating.
Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.
And, for 26 letters it is ²⁶P₁.
Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,
10 × 9 × 8 × 7 × 6 × 5 × 4 × 26
= 604800
Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.
To know more about permutation and combination click on,
https://brainly.com/question/13387529
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Round 0.13171 to the thousandths place (three decimal places).
Write an equation for the sentence.
Four times a number less 10 is equal to 16 ?
Answer:
four times a number less 10 is equall to 16 ia not
CRITICAL THINKING Is it more difficult to walk up the ramp or the hill? Explain.
The ramp walk is more difficult than the hill. Those who know can only be about that.
please help this is for my study guide thanks!
Match question I need help
Please.
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
the function over the interval 1 < x < 7.
Answer:
4
Step-by-step explanation:
ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1
24/6 = 4
which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)
Answer:
D. 2x^3(x-3)/5(x+3)
Step-by-step explanation:
when we simplify it.. we get 2x^3(x-3)/5(x+3).
35% of a number is what fraction of
that number?
Answer:
1/2
Step-by-step explanation:
because I just took the test
Answer:
Step-by-step explanation:
35/100 = 7/20
help!!!!!!!!!!!!!!!!!!
simplify 4y(4y-4)-4(-4y+5+4y2)
50 points for the answers to this question
Answer:
linear, non linear, non linear, non linear
You measure 43 randomly selected textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 12.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.
Answer:
by the empirical rule, 95% of the population is within 2 standard deviations of the mean
55 + or - 2(9.2) = 55+ or - 18.4 = (36.6,73.4)
95% of the population falls between 36.6 and 73.4 ounces
Step-by-step explanation:
What is the least common denominator of 10/19 and 2/13
Answer:
Step-by-step explanation:
Step 1 find the least common multiple of lcm of the denominators
Solve each of the following equations. Show its solution set on a number line. Check your answers. 2|2-x|=-5
Answer:
Use the distributive property to multiply 2 by x−1.
l2x-2I=11
2x-2=-11
Add 2 to both sides of the equation.
2x=-9
Divide both sides by 2.
x=13/2
That's the final answer
Hope u have a great day!!
PLEASE HURRY NEED HELP!!!!!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.88 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answer:
80.22
Step-by-step explanation:
-(b-z)-(-2b+z)-(-3b-z)
Step-by-step explanation:
4b + z I think lol I honestly looked it up
Brainliest if correct 
Answer:
a b
They both are a type of currency from different countries in order to purchase things
A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest milligram.
Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.
Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:
= 25/40 = 0.625.
The amount that will be removed in 59 hours will be:
= 59 × 0.625 = 36.875
The number of milligrams that will remain will be:
= 50 - 36.875 = 13.125 milligrams
Read related link on:
https://brainly.com/question/25776703
A bank pays 5/100 simple interest per annum for deposits $200 in the bank for two years what will be his total amount in the bank at the end of two years
Answer: $420
To find the total simple interest over the two years, we first find 5/100 (5%) of 200 which is 10. That’s the interest of 1 year so we multiply that by 2 to get 20 for 2 years. Each year a deposit of $200 is made so over two years $400. $20 add $400 is $420 which is the total.
2/5+1/2=====================
Answer:
9/10
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Exact Form:
9/10
Decimal Form:
0.9
Pls help. The question is on the picture
Volume of the square part" 20 x 20 x 37 = 14,800 m^3
Volume of a cone ( round part): PI x r^2 x h/3 = 3.14 x 10^2 x 37/3 = 3,872.67 m^3
The1/4 of the circle is inside the square so multiply the volume of the cone by 3/4:
3872.67 x 3/4 = 2904.50m^3
Total volume = 14,800 + 2904.50 = 17,704.50
Round to nearest m = 17,705 m^3