A die is rolled 5 times. What is the probability that 1 occurs twice, 2, 3 and 4 occur once each, and 5 and 6 do not occur (round off to fourth decimal place)
Answer:
0.0077
Step-by-step explanation:
From the given information;
Each outcome possesses the same probability of 1/6 in a single roll.
The required probability can be estimated by using the multinomial distribution;
Therefore;
[tex]P = \dfrac{5!}{2!\times 1!\times 1!\times\times 1! }\times (\dfrac{1}{6})^2\times (\dfrac{1}{6})\times (\dfrac{1}{6})\times (\dfrac{1}{6})[/tex]
[tex]P = 60\times (\dfrac{1}{36})\times\dfrac{1}{216}[/tex]
P = 0.0077
The required probability = 0.0077 to 4 decimal decimals
PLEASE ANSWER QUICKLY!!! PLZZZZZZ!!!
Answer:
1
Step-by-step explanation:
In that question, when it is asking for f(x), think of f(x) = y
When you look at x = -1, the y value is 1.
Help. Thank you in advance.
Answer:
option 2. mean is larger than median.
Step-by-step explanation:
mean of the set = ( 88+81+93+85+98)/5
= 445/5
= 89
median of the set = 88
the mean of the set is greater than the median.
Round 14,456 to nearest ten
Answer:
14,460.
Step-by-step explanation:
14,456 up by 4. anything 6 or above goes up. the tenth place is the second to last number.
Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).
Answer:
Following are the solution to this question:
Step-by-step explanation:
C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.
They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:
[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]
[tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]
t = 1990:
[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]
[tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]
Chicks Corporation had $1,100,000 in invested assets, sales of $1,210,000, income from operations amounting to $302,500, and a desired minimum rate of return of 15%.
The profit margin for Chicks is:
25%
22%
15%
27.5%
Answer:
Step-by-step explanation:
72÷x=3.6÷0.015
Pls show work
Answer: x=0.3
Step-by-step explanation:
The solution of the linear equation 72 ÷ x = 3.6 ÷ 0.015 will be 0.03.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation with one variable is given as,
72 ÷ x = 3.6 ÷ 0.015
Simplify the equation, then the value of 'x' is given as,
72 ÷ x = 3.6 ÷ 0.015
x ÷ 72 = 0.015 ÷ 36
x / 72 = 0.015 / 36
x / 2 = 0.015
x = 0.03
The solution of the linear equation 72 ÷ x = 3.6 ÷ 0.015 will be 0.03.
More about the solution of the equation link is given below.
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7x – X – 1=4-7x + 21
Answer:
X=2
Step-by-step explanation:
Find the volume of a cylinder, given
the radius as 7cm and height 10cm.
Answer:
1539.38cm³
Step-by-step explanation:
V=πr2h=π·72·10≈1539.3804cm³
What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches?
Please answer! I will give brainliest to the correct answers.
Answer:
(n+10)+9
{(n+10)+9}/2
[{(n+10)+9}/2]-5
All you have to do is follow the steps!
Think of a number - n
Add 10 - n + 10
Add the number you were thinking of - n + 10 + n
Divide by 2 - (n + 10 + n) / 2
Subtract 5 - ((n + 10 + n) / 2) -5
It may look hard, but its not as hard as you think. All you need to do is follow the steps!
Use the distributive property to expand 0.05(50 + 40).
Answer:
4.5
Step-by-step explanation:
3n + 14= --4 What is the answer
Answer: n = -6
Step-by-step explanation:
3n+14=-4
Subtract 14 from both sides.
3n+14-14=-4-14
Simplify
3n=-18
Divide both sides by 3
3n/3 = -18/3
n=-6
There are 3 students on a team for a relay race. How many teams can be made from 32 students?
Answer:
10 teams, 2 students would be left out I think.
Hope this helped :)
Are the angles 117 in degrees and 477 in degrees coterminal?
Answer:
Yes, they are coterminal.
Step-by-step explanation:
Coterminal angles are angles that are in multiples of -360 degrees or +360 degrees away from the initial angle.
Therefore, the easiest way to check if an angle is coterminal is set up an equation.
[tex]x + 117 = 477\\\\360 + 117 = 477\\\\477 = 477 \ \checkmark[/tex]
We get a true statement, which means that 117 is a coterminal angle of 477 and 477 is a coterminal angle of 117.
We can also determine the value in radians.
[tex]\displaystyle117 \times \frac{\pi}{180}\\\\\frac{117\pi}{180} = \frac{13\pi}{20}[/tex]
117° in radians is [tex]\displaystyle\frac{13\pi}{20}[/tex]. Coterminal angles for radians are multiples of [tex]2\pi[/tex], either negative or positive.
However, we also need to determine the value of 477 in radians too.
[tex]\displaystyle477\times\frac{\pi}{180}\\\\\frac{477\pi}{180} = \frac{53\pi}{20}[/tex]
So, if we add [tex]2\pi[/tex] to [tex]\frac{13\pi}{20}[/tex]:
[tex]\displaystyle\frac{13\pi}{20} + 2\pi\\\\\frac{13\pi}{20} + \frac{40\pi}{20} = \frac{53\pi}{20}[/tex]
Therefore, even in radians, 477° is an angle coterminal to 117°.
You are given 117°.
To find angles that are coterminal with 117°, we do the following:
117° + 360° = 477°
117° - 360° = 243°
As you can see, when we added 117° to 360°, we got 477°.
To answer your question, YES.
You now know that 117° and 477° are coterminal angles.
Keep in mind that 477° is not the only coterminal angle to 117°.
X^2 + 10x = 0
How do I solve for a completed square ?
Answer:
12x=0
Step-by-step explanation:
x=0 because it is
Answer:
x = 0 x = -10
Step-by-step explanation:
First, use the AC method to figure out, what times what equals 0 and what adds up to equal 10, which would be 0 and 10.
Secondly, you would factor it out and be with
(x + 0)(x +10)=0
Third, you would set each one equal to 0
x + 10 = 0 x + 0 = 0
Solve from there to get your two x's
x = 0 and x = -10
What are the number whose absolute value is -8
Well, the only absolute value of -8 is 8.
Answer:
8
Step-by-step explanation:
Any absolute value of a negative, is the same number but in positive form.
Ex : I-6I = +6
what is the sqaure root of (x-3/7) divided by 12x+7 divided by 76.3x?
Answer:
[tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]
Step by step:
[tex]\sqrt{x-\frac{3}{7}[/tex] = [tex]\sqrt{\frac{49x-21}{7} }[/tex]
[tex]\sqrt{\frac{49x-21}{7} }[/tex] ÷ 12x+7=[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex]
[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex] ÷ 76.3x = [tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]
Hope this helps!
pls pls help i'll give u a cookie
A study of 1000 randomly selected flights of a major airline showed that 820 of the flights arrived on time. What is the probability of a randomly selected flight not arriving on time?
a. 50/1
b. 9/50
c. 41/50
d. 1/4
Answer:
b. 9/50
Step-by-step explanation:
•the probability of the selected flight arriving on time: 820/1000 = 0.82
•find the probability of the flights not being selected by subtracting 0.82 from 1.00: 1.00-0.82=0.18
•now you look for the answer that equals to 0.18
50/1 =50 nope
9/50 =0.18 yes
41/50 =0.82 nope
1/4 = 0.25 nope
Your friend says that 1/2 + 1/7 is equal to 2/14 . Is this correct ? not , what mistake did your friend make?
find the missing side round answer to the nearest tenth (tan)
Answer:
8.5
Step-by-step explanation:
tanθ=opp/adj
tan 66° = 19/x
xtan66° = 19
x = 19/ tan 66° = 8.45
Question
Find the multiplicative inverse of 0.13.
Answer:
multiplicative inverse of 0.13 is -100/30
The required inverse of 0.13 is 1 / 0.13.
Given that,
To find the multiplicative inverse of 0.13.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
The inverse of the particular number is that number when it is multiplied by the number that gives the unit. i.e. ab = 1
Here,
Let the required multiplicative inverse be x,
The product of a number and its multiplicative inverse is equal to 1
So,
0.13*x = 1
x = 1 / 0.13
Thus, the required inverse of 0.13 is 1 / 0.13.
Learn more about arithmetic here:
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What is the BEST deal on sugar?
• 1 kg of sugar for $1.05
1.5 kg of sugar for $1.65
• 2 kg of sugar for $2.00
• 5 kg of sugar for $4.75
• 10 kg of sugar for $9.95
A)1 kg of sugar for $1.05
B)1.5 kg of sugar for $1.65
C)2 kg of sugar for $2.00
D)5 kg of sugar for $4.75
Answer:
C
Step-by-step explanation:
well if you multiply each of tjem you would only sabe money on c the other choices would cause you to lose money so its c
Find the future value of an ordinary annuity of $200 paid quarterly for 6 years, if the interest rate is 10%, compounded quarterly. (Round your answer to the nearest cent.)
Answer:
Future value is $1543.12
Step-by-step explanation:
From the question, present value = $200, rate = 10%, years = 6.
So that future value of ordinary annuity can be calculated by,
FV = [tex]\frac{A{[(1+r)^{n} - 1]}}{r}[/tex]
where: FV is the future value, A is the annuity, r is the rate, and n is the number of years.
FV = [tex]\frac{200[(1+0.1)^{6}-1] }{0.1}[/tex]
= [tex]\frac{200[1.1^{6}- 1] }{0.1}[/tex]
= [tex]\frac{200*0.771561}{0.1}[/tex]
= [tex]\frac{154.3122}{0.1}[/tex]
FV = $1543.122
The future value of the ordinary annuity is $1543.12.
Explain to a Friend Taylor wants to buy a bicycle
that costs $48.75 and a helmet that costs $18.30. She works for her
mom after school to earn the money. If Taylor is paid $5.50 per hour,
will she be able to buy the bicycle and helmet after working 9 hours?
Explain to a friend
Answer: No
Step-by-step explanation:
First add the 48.75 and 18.30 together.
second multiply 5.50 by 9
she would only earn 49.50 so she won’t be able to buy the bike and helmet
The diameter of a pipe is normally distributed, with a mean of 0.4 inch and a variance of 0.0009. What is the probability that the diameter of a randomly selected pipe will exceed 0.418 inch
Answer:
P(X > 0.418) = 0.27425
Step-by-step explanation:
We are given;
Population mean; μ = 0.4 inch
Variance; Var = 0.0009
Sample mean; x¯ = 0.418
First of all let's get the standard deviation which is;
σ = √Var
σ = √0.0009
σ = 0.03
Now, z - score formula is;
z = (x¯ - μ)/σ
z = (0.418 - 0.4)/0.03
z = 0.6
We want to find the probability that the diameter of a randomly selected pipe will exceed 0.418 inch. Thus;
P(X > 0.418) = 1 - P(X ≤ 0.418)
From z-distribution table attached, P(X ≤ 0.418) = P(Z) = 0.72575
Thus;
P(X > 0.418) = 1 - 0.72575
P(X > 0.418) = 0.27425
Convert the rate to a unit rate. What is 124 feet walked in 10 seconds equal per second?
Answer:
12.4 feet per second
Step-by-step explanation:
Walking 124 feet in 10 seconds is the fraction [tex]\frac{124 feet}{10 seconds}[/tex] this is the same as [tex](\frac{124}{10}) \frac{feet}{seconds}[/tex] We get a decimal by dividing 10 into 124 [tex](12.4)\frac{feet}{seconds}[/tex] That's 12.4 feet per secondguys help plz What is the coefficient of y^2 in the expression 2x^2y – 10xy^2 + 5y^2?
What is the y-intercept of 6x + 12y = 60
Answer:
it means when x =0
so 6*0+12y=60
12y=60
y=5
Step-by-step explanation:
Answer:
In y intercept x = 0
so,we replace 0 in place of x
Step-by-step explanation:
6*0+12y=60
0+12y=60
y=60/12
y=5
How do I divide 250 by 150 to get a decimal answer plz provide a step by step explanation as I’m not allowed a calculator
Answer:
1.66666666666666666666everlasting 6s
Step-by-step explanation:
250/150
5/3 ( divide by 50)
1 2/3 ( mixed
1.66666666667.everlasting 6s
Hope this helps :D
Answer:
1.666......
( 1.6 recurring).
Step-by-step explanation:
As both numbers are multiples of 10 it makes it a bit easier to divide both by 10 to give 25 and 15. This will give the same result as 250/150.
Now do a long division , 25 divided by 15:
1 .66 <----------- 25 / 15 = 1 . 1*15 goes below the 25.
-------------------------
15 ) 25.0
15 <---------- subtract 25 - 15 = 10
100 <- bring down the zero(after the decimal point) & append to 10
90 < 15 divides into 100 6 times to give 90 . Place 6 above line.
100 < subtract 100 - 90 to give 10 then add 0
90 < as before 100/15 = 6 to give 6*15 = 90
If you carry on as above you'll see that we get 1.6666... and we could go on for ever. This is a recurring decimal and is usually written as 1.6 with a bar above the 6.