Answer:
Step-by-step explanation:
74/100 or 37/50
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?
Answer:
85%
Step-by-step explanation:
The probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
What is the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. The total number of marbles in the bowl is,
[tex]n=5+2+10+3\\n=20[/tex]
The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,
[tex]P=\dfrac{3}{20}[/tex]
The probability that Fiona pulls out a marble that is not white is,
[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]
Thus, the probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
Learn more about the probability here;
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why can’t the absolute value of anything equal a negative number?
Answer:
The absolute value makes the number inside it, a positive
Step-by-step explanation:
Plss need Help ASAP! :(
Answer:
4 divided by 25 is 0.16
Step-by-step explanation:
Start by setting it up with the divisor 4 on the left side and the dividend 25 on the right side.
The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
Move down the 2nd digit of the dividend (5)
The divisor (4) goes into the bottom number (25), 6 time(s). Therefore, put 6 on top:
Multiply the divisor by the result in the previous step (4 x 6 = 24) and write that answer at the bottom:
Subtract the result in the previous step from the number written above it. (25 - 24 = 1) and write the answer at the bottom.
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 25 divided by 4 calculated using Long Division is:
6
1 Remainder
If ∠3 and ∠4 are complementary angles, m∠3 = (x+24)°, and m∠4 = x°, then find the measures of ∠3 and ∠4.
Answer:
[tex]\huge\boxed{3 = 57 \textdegree}[/tex]
[tex]\huge\boxed{4 = 33 \textdegree}[/tex]
Step-by-step explanation:
When two angles are complementary, their angle lengths add up to 90°.
Therefore, we can make the equation
[tex](x+24) + (x) = 90[/tex]
Now we can solve for x.
[tex]2x+24=90[/tex] [tex]2x=66[/tex] [tex]x = 33[/tex]Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.
We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.
[tex]33+24\\\\57[/tex]
Hope this helped!
0.00054 - (3.2 x 10-4)
in scientific notation and standard notation
Answer:
in scientific notation it is − 32x+4.00054
Step-by-step explanation:
thats all i know
Given the function f (x) = 8x2 - 14x – 10, find f -2).
Remember from now on ;
If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.
Got it ?
Now Let's do it .....
[tex]f( x) = 8 {x}^{2} - 14x - 10 [/tex]
[tex]f( - 2) = 8({ - 2})^{2} - 14( - 2) - 10 \\ [/tex]
[tex]f( - 2) = 8 \times 4 + 28 - 10[/tex]
[tex]f( - 2) = 32 + 28 - 10[/tex]
[tex]f( - 2) = 60 - 10[/tex]
[tex]f( - 2) = 50[/tex]
_________________________________
And we're done...
♥️♥️♥️♥️♥️
the improper fraction 9/8 equals what mixed number
On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N([],[])
b. Find the probability that an indoor cat dies when it is between 17.2 and 19.6 years old.[]
c. The middle 20% of indoor cats' age of death lies between what two numbers?
Low: [] years
High: [] years
Answer:
(a) N (16, 2.5²)
(b) 0.241
(c) Low: 15.4 years
High: 16.6 years
Step-by-step explanation:
The random variable X is defined as the age at death of a randomly selected indoor cat.
(a)
The distribution of X is:
[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]
(b)
Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:
[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]
[tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]
Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.
(c)
Compute the two numbers within which 20% of indoor cats' age of death lies as follows:
[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]
The corresponding value of z is, 0.25.
Compute the value of x₁ and x₂ as follows:
[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex] [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]
Low: 15.4 years
High: 16.6 years
37.28 for 2 pair of jeans how much did they cost
Answer:
One pair of jeans costed 18.64
Step-by-step explanation:
37.28 divided by 2.
The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
Answer:
a. The equation is y = 19 x
b. The height of 13 DVD cases is 247 mm
Step-by-step explanation:
- A proportional relationship is about two quantities vary directly with
each other
- Ex: If y proportion to x, then y is varies directly with x
That means y ∝ x ⇒ y = k x, where k is the constant of variation
- The height of a stack of DVD case is proportional to the number of
case in the stack
- That means the height of DVD cases varies with the number of cases
- The height of 6 DVD case is 114 mm
a.
∵ The number of cases = x
∵ The height of the cases = y
∴ y ∝ x
∴ y = k x
- To find k lets use the first information above
∵ y = 114 mm when x = 6
- Substitute these values in the equation above to find k
∵ 114 = 6 k
- Divide both sides by 6
∴ k = 19
- Substitute the value of k in the equation above
∴ y = 19 x
* The equation is y = 19 x
b.
- We need to find the height of 13 DVD cases
∵ y = 19 x
∵ x = 13
- Substitute the value of x in the equation
∴ y = 19 × 13
∴ y = 247 mm
* The height of 13 DVD cases is 247 mm
The height will be 143 mm for a stack of 13 DVD cases.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The overall height of the 8 cases stacked on top of each other is 88 mm.
Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):
⇒ 88/ 8 = 13
⇒ 88 ÷ 8 = 13
Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:
11 × 13= 143
Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.
To learn more about the constant of proportionality here:
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The question seems to be incomplete the correct question would be:
The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
The height of the 8 cases stacked on top of each other is 88 mm.
7x -7 = 6x +11
I forgot how do answer this can you help me ??
How to ask someone out ?
Answer:
There are so many ways! Do want me to help?
Step-by-step explanation:
Figure B is a scaled copy of Figure A.
Answer:
2
Step-by-step explanation:
did it on khan
Find the missing terms: 19, _, _, _, -13
Answer:
-5,3,11
Plus 8 or subtract 8
Step-by-step explanation:
-13 + 8= -5
-5+8= 3
3+8=11
11+8=19
or
19-8=11
11-8=3
3-8=-5
-5-8= -13
Hope that helps :)
35. You run an accounting business that specializes in auditing (verifying accounting records).
One of your auditors is working on the payroll records for a company with 75 employees. Some are
part-time and some are full-time. After working for three days, your auditor tells you that the audit
is completed for half of the full-time employees, but there are still 50 employee records to audit.
Find out how many of the employees are full time and how many are part-time.
Answer:
There are 50 full-time and 25 part-time employees in the company.
Step-by-step explanation:
Total number of employee in the company = 75
Employee's records to be audited = 50
Number of audited record = 75 - 50
= 25
Records of employees to be audited = 50
Since half of the full-time employee's records has been audited after 3-days, then the number of full-time employee = number of audited record x 2 = 25 x 2
= 50
The number of part-time employee's in the company = 75 - 50
= 25
There are 50 full-time and 25 part-time employees in the company.
(6x + 7) + (8x-27) how do you solve
Answer:
x=+17
Step-by-step explanation:
6x+7=8x-27
We move all terms to the left:
6x+7-(8x-27)=0
We get rid of parentheses
6x-8x+27+7=0
We add all the numbers together, and all the variables
-2x+34=0
We move all terms containing x to the left, all other terms to the right
-2x=-34
x=-34/-2
x=+17
The graph shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled. PART A What is the unit rate for each machine? PART B Which machine can fill cartons at a faster rate? How much faster?
Answer:
A. 25, 22
B. machine 1
How much faster? MACHINE 1 fills 3 more cartons per minute than MACHINE 2
Step-by-step explanation:
Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled.
The equation of the graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill is -
y = [(100 - 50)/(4 - 2)]x
y = 25x
AND
y = 22x describes the rate at which Machine 2 can fill cartons.
So, we can write -
Machine 1's unit rate = 25
Machine 2's unit rate = 22
It is easily visible that Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
Therefore,
Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
To solve more questions on straight lines, visit the link below-
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[Refer to image for complete question]
Select the correct answer.
The formula for the voltage, V, of an electrical current is V = VPR, where Pis the power measured in watts and Ris the resistance measured
In ohms.
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
OA. 0.225 watts
OB. 0.60 watts
Ос.
3.6 watts
OD
16.7 watts
I don't know the correct answer but I know its not 0.60 watts
Answer:
it is 3.6 watts
Step-by-step explanation:
there is no explanation but if needed proof i will try to post a picture of it
solve the system of equations
Answer:
y = -3 when x = 4
Step-by-step explanation:
2x-4y = 20
x = 4
2(4) - 4y = 20
8 - 4y = 20
-4y = 12
y = -3
1. If f(x) = 6x2 and h(x) = 3x, then (f/h)(x)
A2
B2x
C2x2
Slope Application, I need help ASAP.
Answer:
89/3x
Step-by-step explanation:
Use Marhway for these types of problems
Explain! Prize! Thank you!!!!
Answer:
B.
Step-by-step explanation:
The answer is B since it cost $3 for 5, it would be $6 or double for 10.
Answer:
B. $6
Step-by-step explanation:
3 divided by 5 = 0.6
0.6 multiplied by 10 = $6
(I might be wrong. Sorry if I am. Don't get mad at me)
Hope I helped :)
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A school has a total enrollment of 800 students. Twenty percent of those students play a sport. How many play a sport?
Answer:
160
Step-by-step explanation:
... ...... ..
....i
Answer It should be 40%
Please Help!! Due in 5 minutes!
Answer:
I may be wrong but I beileve its A(-20)
Step-by-step explanation:
Answer: Hey there The answer is simple is -20
Step-by-step explanation:
(2)(12)/-3-12=-20
hope this helps
What fraction is the same as 9/12
Answer:
3/4
Step-by-step explanation:
If you divide both the numerator and the denominator by 3 you'll get 3 over 4.
At a video arcade, action video games usually cost $12.50. This week, they are on sale for 30% off. What is the sale price of the action video games?
Answer:
3.75
Step-by-step explanation:
Answer:
$8.75
Step-by-step explanation:
Solve the equation.
If necessary
Please help me !!
Answer:
x = - 1
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] x + 3 - 2x = - [tex]\frac{1}{4}[/tex] + [tex]\frac{1}{2}[/tex] x + 5
Multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions
3x + 12 - 8x = - 1 + 2x + 20 ( simplify both sides )
- 5x + 12 = 2x + 19 ( subtract 2x from both sides )
- 7x + 12 = 19 ( subtract 12 from both sides )
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Brent caught 9 tilapia and 8 catfish. What is equivalent to the ratio of catfish to tilapia?
Answer:
8:9
Step-by-step explanation: the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
I hope this helps plz tell me if its wrong so i can fix it :)
What is 4% of 300? Select one: 12 75 O 120 296 Type here to search Presentation S...
Answer:
12
Step-by-step explanation:
300 multiplied by 0.04 (4%) = 12
Hope I helped :)
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for every 5 hours that he works, andre is paid $60.20.
how much is he made in hour 1?
how much did he make in hour 2?
how much did he make in hour 3?
how much did he made in hour 4?
how much did he make in hour 5?
Answer:
here it is
Step-by-step explanation:
Simply divide 5 INTO 60.20 to get $ per hour.
Another way of saying this is divide $60.20 BY 5.
