Answer:
1/4
Step-by-step explanation:
the numbers greater than nine are: 10,11,12
1,3,5,7,9
So that is nine numbers
9/12 can be simplified to 3/4 if you divide by 3
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Dungeon and Dragons (old popular boardgame) uses a twenty-sided number cube (die), what is the probability that you will roll an even or an odd prime number? The number 1 isn’t an odd prime. Round to three decimals.
Answer:
P(even or odd prime) = 0.85
There is 85% probability of rolling an even number or odd prime number.
Step-by-step explanation:
We are given a twenty-sided die which means it has faces from 1 to 20, so that means the total number of outcomes are 20.
We are asked to find the probability of rolling an even number or odd prime number.
We know that probability is given by
P = Number of desired outcomes/Total number of outcomes
Let us first count the number of desired outcomes.
In the range of 1 to 20 we have following even numbers,
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 (10 outcomes)
P(even) = 10/20
P(even) = 0.50
In the range of 1 to 20 we have following odd prime numbers,
3, 5, 7, 11, 13, 17, 19 (7 outcomes)
P(odd prime) = 7/20
P(odd prime) = 0.35
So the required probability is
P(even or odd prime) = 10/20 + 7/20
P(even or odd prime) = 0.50 + 0.35
P(even or odd prime) = 0.85
Therefore, there is 85% probability of rolling an even number or odd prime number.
Note: Since we are asked to find the probability of rolling an even number or odd prime number, that's why we have added the probabilities of these two events.
OR corresponds to addition of probabilities
AND corresponds to multiplication of probabilities
what is 4.156 - 0.34 in Simplify the following expression.
Answer:
3.816
Step-by-step explanation:
4.156-0.34
=4.156-0.34
=4.156 + (-0.34)
= 3.816
hope this helps!!
The given expressions 4.156 - 0.34 simplified form is 3.816.
We have given,
4.156 - 0.34
We have to determine the subtraction
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol -
4.156-0.34
=4.156-0.34
=4.156 + (-0.34)
= 3.816
The given expressions 4.156 - 0.34 simplified form is 3.816.
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Can you send the integers worksheet question and answer for 6th grade
if a rectangular prism has a volume of 550 cm squared and its dimensions are all tripled, then what would be the new volume?
Answer:
The new volume would be 14,850cm³.
Step-by-step explanation:
The volume of a rectangular prism is:
[tex]V = l*w*h[/tex]
In which l is the length, w is the width and h is the height.
Dimensions tripled.
So [tex]l = 3l, w = 3w, h = 3h[/tex]
The modified volume will be:
[tex]V_{m} = 3l*3w*3h = 27*l*w*h = 27V[/tex]
Volume of 550 cm³ before the dimensions are tripled.
This means that [tex]V = 550[/tex]
New volume:
[tex]V_{m} = 27*550 = 14850[/tex]
The new volume would be 14,850cm³.
divide write the quotient in lowest terms5 2/3 divided by 4
Answer:
1 83/200
Step-by-step explanation:
You need to make the 2/3 a decimal which is 0.66 repeating. Then you do 5.66 divided by 4 which equals 1.415 then you need to simplify.
Hope this helps.
What number is 4 time another. The sum of the reciprocals is 15/4. find the numbers
Answer:
3/4 , 3
Step-by-step explanation:
Let one number = x
Other = 4x
Sum:
x + 4x = 15/4
5x = 15/4
x = 3/4
Thus the numbers are 3/4 , 3
Solve Y/5.6 = 12 for y
Answer:
y = 67.19
Step-by-step explanation:
y/5.6 = 12
=> y = 12(5.6)
=> y = 67.19
where is the point (0, –4) located
4 points below the origin
The equation of a circle is (x−2) 2 + (y−6) 2 =64 . What is the center and radius of the circle?
Answer:
The center is (2,6) and the radius is 8
Step-by-step explanation:
The answer is center: (2,6); radius: 8
Trisomy 18 (T18) is a rare genetic disorder that severely disrupts a baby's development prior to birth. Many die before birth and most die before their first birthday. T18 occurs in only 1 in 2500 pregnancies in the U.S. A genetic test on the mother's blood can be done to test for T18 in her baby. The overall probability of a positive test result is 0.010384. The probability of a positive test result for a baby with T18 is 0.97. The probability of a negative test result for a baby without T18 is 0.99. A mother's blood tests positive for T18. What is the probability that her baby has T18
Answer:
3.74% probability that her baby has T18
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: The baby having T18.
T18 occurs in only 1 in 2500 pregnancies in the U.S.
This means that [tex]P(B) = \frac{1}{2500} = 0.0004[/tex]
The probability of a positive test result for a baby with T18 is 0.97.
This means that [tex]P(A|B) = 0.97[/tex]
The overall probability of a positive test result is 0.010384.
This means that [tex]P(A) = 0.010384[/tex]
What is the probability that her baby has T18
[tex]P(B|A) = \frac{0.0004*0.97}{0.010384} = 0.0374[/tex]
3.74% probability that her baby has T18
To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,500, and the commission for each new account opened is $5,000. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.
(a) Determine the equation for computing Gustin's profit per seminar, given values of the relevant parameters. Profit = (New Accounts Opened × ) –
(b) What type of random variable is the number of new accounts opened? (Hint: Review Appendix 11.1 for descriptions of various types of probability distributions.)
(c) Choose the appropriate spreadsheet simulation model to analyze the profitability of Gustin's seminars. (I) (II) (III) (IV) Would you recommend that Gustin continue running the seminars?
(d) How many attendees (in a multiple of five, i.e., 25, 30, 35, . . .) does Gustin need before a seminar's average expected profit is greater than zero?
Answer:
a) profit = (new account opened x 5000) -3500
b) Opening account is binomial distribution with n =25 and p = 0.01
c) Probability of loss is 0.77781 --I don't recommend the company that it running the seminar
d) n ≅ 71
Step-by-step explanation:
See attached image
f(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Answer:
(f - g)(x)= - 6 {x}^{2} - 8x + 9
(f - g)(-4!)= - 55
Step-by-step explanation:
[tex]f(x) = - 9 {x}^{2} - 2x, \: \: g(x) = - 3 {x}^{2} + 6x - 9 \\ (f - g)(x) = f(x) - g(x) \\ = - 9 {x}^{2} - 2x - (- 3 {x}^{2} + 6x - 9) \\ = - 9 {x}^{2} - 2x + 3 {x}^{2} - 6x + 9 \\ \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2} - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2} - 8( - 4) + 9 \\ = - 6 \times 16 + 32 + 9 \\ = - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}[/tex]
A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)
Answer:
The answer is A
Step-by-step explanation:
Edg : )
Answer:
A
Step-by-step explanation:
What is the perimeter?
30 km
22 km
33 km
36 km
Answer:
121 km
Step-by-step explanation:
i added all the number together
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
Molly's street is perpendicular to both's street and is thus making an angle of 90°
I can't figure out 1/2 (10) (9.4 + 3.6)
Please show work
Answer:
65
Step-by-step explanation:
multiply 1/2 and 10 to get 10/2
10/2(9.4+3.6)
divide 10 by 2 to get 5
add 9.4 and 3.6 to get 13
5 X 13
multiply to get 65
Sam wants to measure the amount of water in a full bathtub.
Which is the best unit of measurement for Sam to use?
What’s the answer
Probably liters, all the others are too big or too small.
If a = -9 and b = -4, what is the value of a + b ?
-5
5
-13
13
Answer: -13
Step-by-step explanation:
-9 plus -4 equals -13
Answer:-13 I just know.
Step-by-step explanation:
what are the steps for using integar tiles to evaluate the expression 45 divided by 15
Answer:
1. Gather 45 tiles
2. Split them up into groups of 15. Your answer will be the amount of piles you end up with. Hope this helps!
What is the volume of a sphere with radius 9? Round to the tenths.
Answer:
V=3053.6
Step-by-step explanation:
What goes into the boxes
Answer:
See explanation
Step-by-step explanation:
[tex]6 {c}^{2} + 2 {c}^{4} - c \\ \\ standard \: form = \red{ \boxed{ \bold{2 {c}^{4} + 6 {c}^{2} - c}}} \\ \\ degree = \purple{ \boxed{ \bold{4}}} \\ \\ leading \: coefficient = \orange{ \boxed{ \bold{1}}}[/tex]
Use the Pythagorean theorem and the square root property to solve the following problem . Express your answer in simplified radical form . Then find the decimal approximation to the nearest tenth . A rectangular park is 10 miles long and 5 miles wide . How long is a pedestrian route that runs diagonally across the park
Answer:
square root of 125 rounded to 11.2 milies to the nearest tenth
X/25 > 5 solve for x
Answer:
You would have to multiply 25 by any number greater than 5. X would equal to 150 or greater.
Find the following trigonometric values.
Express your answers exactly.
cos(315) =
sin(315)=
The value of cos(315°) is 0.7071 and the value of sin(315°) is -0.7071.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given that, cos(315°) and sin(315°).
So, the values are
Simplify the expression.
Exact Form:√2/2
Decimal Form:0.70710678…
sin(315°)
Simplify the expression.
Exact Form: -√2/2
Decimal Form: -0.70710678…
Therefore, the value of cos(315°) is 0.7071 and the value of sin(315°) is -0.7071.
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Work out x most dedicated not rushed gets brainiest
Answer:54
Step-by-step explanation:
Pentagon has 5 sides
n=5
Sum of interior angles=180(n-2)
Sum of interior angles=180(5-2)
Sum of interior angles=180x3
Sum of interior angles=540
Size of each interior angle =540/n
Size of each interior angle =540/5
Size of each interior angle=108
x=108/2
x=54
A tuxedo rental service charges 150$ flat fee for a suit plus 50$ Per additional day. Which equation correctly models the total cost of renting a tuxedo for x number of days
1-y=50x+150
2-y=50x-150
3-y=150x+50
4-y=50x
The required equation that represents the total cost of renting a tuxedo for x number of days is y=50x+150. Option 1 is correct.
Given that,
A tuxedo rental service charges 150$ flat fee for a suit plus 50$ Per additional day. Which equation correctly models the total cost of renting a tuxedo for x number of days is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number of days be x, and the total cost be y,
charges for additional day = 50x
Total charges (y) = 150 + 50x
y = 150 + 50x
Thus, the required equation that represents the total cost of renting a tuxedo for x number of days is y=50x+150. Option 1 is correct.
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How many solutions does the equation -2a + 2a + 7 = 8 have
Step-by-step explanation:
-2a + 2a + 7 = 8
Solving like terms
7 = 8
= 8 - 7 = 1
Has one solution
Karla has 3 gallons of paint. Bryant has 10 quarts of paint. How many more pints of paint does Karla have than Bryant?
Answer: 4
Step-by-step explanation:
First you need to convert to pints.
Your conversion factors are:
1 gallon = 8 pints
1 quart = 2 pints
[tex]3gallons(\frac{8pints}{1gallon}) =24pints[/tex]
[tex]10quarts(\frac{2 pints}{1quart})=20pints[/tex]
To find the difference, subtract.
24-20=4
James rented a car for 4 days plus $0.25 per mile. He took the collision waiver for $19.95 per day. He drove the car 352 miles. Gasoline cost $41.38. What was the total cost of renting the car?
1 point
$61.58
$149.33
$413.33
$209.18
Answer:
$209.18
Step-by-step explanation:
352 miles*$0.25 per mile = $88 for mileage.
$19.95 per day * 4 days = $79.80
88+ 79.80 + 41.38 for gass = $209.18 Total Cost
How many seconds would it take to fill up one gallon
Answer:
5 seconds
Step-by-step explanation:
(60 / seconds = GPM)
60 / 5 = 12 GPM
12 GPM = 60 seconds
Simplified
1 Gallon is 5 seconds
Answer:
5
Step-by-step explanation:
