Answers
Answer:
12/35
Step-by-step explanation:
Related Questions
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?
Answers
Answer:
22.22%
Step-by-step explanation:
If it is exactly a red, it means that it is removed on the first or second attempt, but only once, in this case it does not matter if it is on the first or second attempt because the marble is returned to the bag.
So suppose that on the first attempt red is drawn, the probability would be:
4 / (3 + 4 + 5) = 4/12 = 1/3
Now, on the second attempt, it is not to draw a red, it must be green or blue, so it would be:
(5 + 3) / (3 + 4 + 5) = 8/12 = 2/3
The final probability then is:
1/3 * 2/3 = 0.2222
that is, the probability is 22.22%
An element with a mass of 740 grams decays by 28.4% per minute. To the nearest minute, how long will it be until there are 30 grams of the element remaining?
Answers
Answer:t=9.6 minutes
Step-by-step explanation:
Given
mass of element is [tex]A_o=740\ gm[/tex]
Decay rate [tex]r=28.4\%\ \text{per minute}[/tex]
and we know
Amount of exponential decay is given by
[tex]A=A_o[1-r]^t[/tex]
Where [tex]A_0=\text{Initial amount}[/tex]
[tex]\text{A=Accumulated amount}[/tex]
[tex]\text{r=rate}[/tex]
[tex]\text{t=time}[/tex]
Substituting values we get
[tex]\Rightarrow 30=740[1-0.284]^t[/tex]
[tex]\Rightarrow \dfrac{30}{740}=0.716^t[/tex]
[tex]\Rightarrow 0.0405=0.716^t[/tex]
taking log both sides we get
[tex]\Rightarrow\ \ln (0.0405)=t\times \ln (0.716)[/tex]
[tex]\Rightarrow t=\dfrac{\ln (0.0405)}{\ln (0.716)}[/tex]
[tex]\Rightarrow t=9.598\approx 9.6\ \text{minutes}[/tex]
Answer:
Delta math it’s 10
Step-by-step explanation:
1f 3/4 gallon of paint can cover 1/8 of the fence how many gallons will he need to paint the whole fence
Answers
Answer:
He will need 6 gallons of painting to paint the whole fence.
Step-by-step explanation:
Since 3/4 gallon of paint covered 1/8 of the fence, we have to multiply 3/4 by 8 in order to find the number of gallons that will paint the whole fence (because 8 x 1/8 = 1)
[tex]\frac{3}{4}[/tex] x [tex]\frac{8}{1}[/tex] = [tex]\frac{24}{4}[/tex] = 6
Hope this helps!
what’s the length of the tunnel?
Answers
Answer:
3.40 km
Step-by-step explanation:
Given two sides and the angle between them, the Law of Cosines is useful for finding the remaining side of the triangle.
If we call the vertices of the triangle H, P, Y, then the Law of Cosines tells you ...
HY² = HP² +YP² -2HP·YP·cos(P)
HY² = 6² +7² -2·6·7·cos(29°) = 85 -84·cos(29°) ≈ 11.531944
HY ≈ √11.531944 ≈ 3.40 . . . . km
The length of the tunnel is about 3.40 km.
Hi! can anyone help me please, I dont even know where to start.
if Carlos has 42 books he wants to store on shelves. Each book is
1 3/4 inches thick. He can buy 3-foot-long shelves for $27.99 each.
How much will it cost to shelve the books?
Answers
Answer:
$83.97
Step-by-step explanation:
Let's find the total thickness of all 42 books first. To do this, we do 42 * 1.75 = 73.5 inches. We know that each shelf is 3 feet long, but we want to convert to the same unit so that it's easier to calculate, so each shelf is 3 * 12 = 36 inches long. Now, to find the number of shelves needed, we'll do total thickness/length of each shelf which is 73.5 / 36, or 2.04. Our answer has to be an integer (because you can't have half of a shelf), so do we round up or down? Well, if we rounded down, then there wouldn't be enough room for all the books, so we round up to 3 shelves instead. Because each shelf is $27.99, the price for 3 will be 27.99 * 3 = $83.97. Hope this helps!
Standard Cost Journal Entries Bellingham Company produced 4,600 units that require five standard pounds per unit at a $10.5 standard price per pound. The company actually used 22,500 pounds in production. Journalize the entry to record the standard direct materials used in production. For a compound transaction, if an amount box does not require an entry, leave it blank.
Answers
Answer:
Dr work-in-process $ 241,500.00
Cr materials $236,250
Cr direct material quantity variance $ 5,250.00
Step-by-step explanation:
The cost of the materials using standard price per pound of $10.5 is computed below:
standard cost=4,600*5*$10.5=$241,500.00
The above is debited to work in process account.
The actual cost of materials used =22,500*$10.5=$236,250.00
Since the actual cost materials is $ 236,250.00 ,the materials ledger is credited with $ 236,250.00
The direct material quantity variance=$241,500-$236,250=$5,250
in schools lesson are 55 minutes long A Science lesson ends At 2:30 PM What time does it start
Answers
Answer:
1:35
Step-by-step explanation:
Answer:
1: 35pm
Step-by-step explanation:
Gina bought the small plastic boxes below. A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 7 centimeters.A rectangular prism with a length of 4 centimeters, width of 3 centimeters, and height of 10 centimeters. Which container requires more plastic to make, and how much more plastic is needed? The container on the right is made of 2 centimeters squared more plastic. The container on the left is made of 2 centimeters squared more plastic. The container on the right is made of 20 centimeters squared more plastic. The container on the left is made of 20 centimeters squared more plastic.
Answers
Answer:the answer is The container on the left is made of 2 centimeters squared more plastic.
Step-by-step explanation:
i took the test
The container on the right is made of 2 centimeters squared more plastic.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given two rectangular containers.
We have to find the surface area of both the containers.
Surface area of a rectangular prism = 2[(l × w) + (w × h) + (l × h)]
Here l, w and h are the length, width and height of the rectangular prism.
For the first rectangular prism,
Surface area = 2 [(5 × 4) + (4 × 7) + (5 × 7)] = 166 cm²
For the second rectangular prism,
Surface area = 2 [(4 × 3) + (3 × 10) + (4 × 10)] = 164 cm²
Hence the container on the right is made of 2 centimeters squared more plastic.
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What is the slope of a line that passes through the points (-1,9) and (3,6)
Answers
Answer:
-3/4
Step-by-step explanation:
Between these two points, the x value changes by 4, and the y value changes by -3. Therefore, the slope of this line is -3/4. Hope this helps!
The Department of Highway Improvements, responsible for repairing a 25-mile stretch of interstate highway, wants to design a surface that will be structurally efficient. One important consideration is the volume of heavy freight traffic on the interstate. State weigh stations report that the average number of heavy-duty trailers traveling on a 25-mile segment of the interstate is 72 per hour. However, the section of highway to be repaired is located in an urban area and the department engineers believe that the volume of heavy freight traffic for this particular section is greater than the average reported for the entire interstate.
To validate this theory, the department monitors the highway for 50 1-hour periods randomly selected throughout the month. Suppose the sample mean and standard deviation of the heavy freight traffic for the 50 sampled hours are:
Sample mean = 74.1 standard deviation = 13.3
a) Do the data support the department's theory? Use α = 0.10 to come to a conclusion based on a large sample test.
Answers
Answer:
[tex]t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116[/tex]
The degrees of freedom are given by:
[tex]df=n-1=50-1=49[/tex]
Now we can calculate the p value with the following probability:
[tex]p_v =P(t_{(49)}>1.116)=0.135[/tex]
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.
Step-by-step explanation:
Information provided
[tex]\bar X=74.1[/tex] represent the sample mean
[tex]s=13.1[/tex] represent the sample standard deviation
[tex]n=50[/tex] sample size
[tex]\mu_o =72[/tex] represent the value that we want to test
[tex]\alpha=0.1[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to analyze if the true mean for this case is higher than 72, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 72[/tex]
Alternative hypothesis:[tex]\mu > 72[/tex]
The statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info we got:
[tex]t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116[/tex]
The degrees of freedom are given by:
[tex]df=n-1=50-1=49[/tex]
Now we can calculate the p value with the following probability:
[tex]p_v =P(t_{(49)}>1.116)=0.135[/tex]
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.
An outdoor club conducted a survey of its members. The members were asked to state their preference between skiing and snowboarding. Each member had to pick one. Of the 60 males, 45 stated they preferred to snowboard. Twenty-two of the 60 females preferred to ski. What is the relative frequency that a male prefers to ski?
Answer:
Answers
Answer:
0.25
Step-by-step explanation:
Data provided in the question
Number of males = 60
Number of stated preferred to snowboard = 45
Number of females preferred to ski = 22
Based on the above information, the relative frequency male preferred to ski is
Before computing this first we have to calculate the number of ski picked which is
= Number of males - Number of stated preferred to snowboard
= 60 - 45
= 15
Now the relative frequency is
[tex]= \frac{Number\ of\ ski}{Number\ of\ males}[/tex]
[tex]= \frac{15}{60}[/tex]
= 0.25
Which statements about the cone are true? Check all that apply. The radius is double the diameter. The radius is 9 mm. The base area is calculated using the radius. The volume is one-third the volume of a cylinder with the same height and diameter. The volume of the cone is
Answers
Step-by-step explanation:
I think the question is incomplete without an attachment of the diagram of the cone, but we can make do with the information provided.
This problem test our knowledge on the mensuration of solid shape, cone and cylinder.Back to our question. the statements that apply are
The base area is calculated using the radiusThe volume is one-third the volume of a cylinder with the same height and diameter .the volume of the cone is expressed as [tex]v= \frac{1}{3}\pi r^{2}h[/tex]Answer:
2 3 4 5
Step-by-step explanation:
PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7 I NEED A GREAT EXPLANATION WITH CORRECT ANSWER!!!!!!!!!! PLSSSSS HEEEEEEEEEEEEEEELLLPPPPPPPPP!!!!!!!!!! MEEEEE!!!!!! NOW!!!!!!!
Answers
Answer:
6.)66 degrees
7.)20 degrees
Step-by-step explanation:
Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees
If you subtract 114 from 180 you get 66 degrees
Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees
If you subtract 70 from 90 you get 20
A copy machine makes 84 copies in 3 minutes and 30 seconds. How many copies does it make per minute
Answers
Answer:
24
Step-by-step explanation:
30 secs = 0.5 min
thus 84 / 3.5 min = 168 / 7 = 24
Working alone, Dan can sweep a porch in
15 minutes. Alberto can sweep the same
porch in 11 minutes. If they worked
together how long would it take them?
Answers
Answer:
It will take them 6.35 minutes
Step-by-step explanation:
The question can be solved when you know how much of the job can be done in minutes.
Therefore if Dan can do the job in 15 minutes he will be to sweep 1/15 of the porch in 1 minutes. Alberto can do the same job in 11 minutes, in 1 minutes he will do 1/11 of the job.
let
a = combined time together
1/15 + 1/11 = 1/a
(11 + 15)/165 = 1/a
26/165 = 1/a
cross multiply
26a = 165
divide both sides by 26
a = 165/26
a = 6.34615384615
a ≈ 6.35 minutes
It will take them 6.35 minutes
Find the distance between the points (-8,-11) and (14,-11).
Answers
Answer:
Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
Step-by-step explanation:
The answer is provided above.
Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
Hope this helps.
In a system of equations, WHAT
lines would have the same slope and thus there would be no solution for the system.
Answers
Answer:
Parallel Lines: If the two linear equations have the same slope (and different y-intercepts), the lines will be parallel. Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)
Step-by-step explanation:
Find ,H assuming the triangles formed are similar.
Answers
Answer:
15
Step-by-step explanation:
if you divide 20 by 8, then you get 2.5. multiply that by six, and you get your answer.
the perimeter of this quarter circle with radius, r = 32mm. Give your answer as an expression in terms of π.
Answers
Answer:
16π + 64
Step-by-step explanation:
So the whole circumference is 64π
A quarter is 16π
Then you just have to account for the two radii.
16π + 64
Answer:
C≈201.06
16π + 64
Step-by-step explanation:
Radius: 32mm.
Solved for perimeter
Shape: Circle.
The correct answer to this question is C≈201.06.
You asked for 16π + 64.
Hope this helps.
If now Jenny is twice as old as Leo, and 5 years ago she was three times as old as he was, how old are they now?
Answers
Answer:
Leo is 10, Jenny is 20
Step-by-step explanation:
Let's say that Jenny's current age is j, and that Leo's current age is l. With this, we can set up the following equations:
j=2l
j-5=3(l-5)
Let's use substitution and plug the first equation into the second one:
(2l)-5=3(l-5)
2l-5=3l-15
l=10
j=20
Hope this helps!
fifty dived by half minus of forty what is the answer?
Answers
Step-by-step explanation:
50÷1/2-40
50×2-40
100-40
60
the answer is 60
Answer:60
Step-by-step explanation:if the equation is 50/.5-40, the first step is to turn them into fractions 50/1 and 50/100 (or 1/2) then you flip the second fraction and change the sign to multiply so it would be 50/1x2/1.
Y=50/.5-40
Y=50/1x2/1-40
Y=100-40
That leaves you with 100/1 (or 100). Then you subtract 40 from 100
100-40=60
What is the surface area of a rectangular prism with a length of 16 cm, a width of 8 cm, and a height of 4 cm? (show your work in numbers)
Answers
Answer:
Step-by-step explanation:
Multiply base area * height
= 16 * 8 * 4 = 512 cm^3
Answer:
448
Step-by-step explanation:
it is correct trust me
What is the slope of the line whose equation is y -2/3 = 0?
Answers
Answer: The slope is 0.
Step-by-step explanation:
y -2/3=0
+2/3. +2/3
y=2/3
A birthday party caterer counted the number of juice cups on the table. The cups contained different flavored juices and different shaped straws.
Heart-shaped straw Star-shaped straw
Orange juice 9 3
Grape juice 4 4
Pineapple juice 5 8
What is the probability that a randomly selected cup contains orange juice or contains a heart-shaped straw?
Simplify any fractions.
Answers
Please HELP ME! I WILL ALSO MARK AS BRANLIEST!
Answers
Answer: One adult ticket is $4. One child ticket is $7
Step-by-step explanation:
Day 1:
2a + 10c = 78
Day 2:
8a + 5c = 67
2a + 10c = 78
8a + 5c = 67
Multiply Day 2 by 2 so we get the 'c' equal so we can subtract them:
Day 2: 16a + 10c = 134
Day 1: 2a + 10c = 78
Minus Day 2 from Day 1
= 14a = 56
56 / 14 = 4
So A = 4
Now substitute 4 for A in Day 1
2(4) + 10c = 78
8 + 10c = 78
10c = 78 - 8
10c = 70
c = 70 / 10
c = 7
What equation relates a and s to the $ 400 income total? Explain what
each term of the equation represents.
Answers
Answer:
You would need to show us what terms there are by taking a picture
the corner cafe makes a bowl of oatmeal using 6 ounces of water and 4 ounces of oats. The breakfast shop makes a bowl of oatmealusing double the amount of water and oats.
Answers
Answer:it would have 12 ounces of water and 8 ounces of oats
Step-by-step explanation:
12 ounces of water and 8 ounces of oats.
What is proportion?Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Example, the time taken by train to cover 100km per hour is equal to the time taken by it to cover the distance of 500km for 5 hours.
Proportions are denoted by the symbol ‘::’ or ‘=’.Given,
Given, the proportion of the oatmeal in a bowl of corner café = 6 ounces of water and 4 ounces of oats.
the proportion of the oatmeal in a bowl of breakfast shop = double the amount water and oats used in corner café.
= 2×6 ounces of water and 2×4 ounces of oats
= 12 ounces of water and 8 ounces of oats
Hence, In making of oatmeal at breakfast shop there will be 12 ounces of water and 8 ounces of oats.
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HELp PLEASE WITH CORRECT ANSWER I NEED HELP I
find the area of the triangle the height is 12 in and the base is 3 in.
will mark brainliest
Answers
Answer:
18in²
Step-by-step explanation:
Answer: I know da way hehhe
Step-by-step explanation:
Base times height / 2
12*3= 36/2 =18
Roblox:Supertasticgg just follow me on roblox
SUB TO FLAMINGO IF U GET IT RIGHT hehehheheh
what does 5 1/2 * 4 equal
Answers
Answer:
22
Step-by-step explanation:
5 1/2 = 11/2
11/2 * 4/1
44/2
22
Answer:
22
Step-by-step explanation:
5.5 times 4 = 22
(5.5 = 5 1/2)
therefore the answer is
22
hope this helps!! ;)
denise bought a life insurance policy from donald, and if denise dies, the insurance company has to pay debra, whose son is douglas. who is the beneficiary of the life insurance policy? a. donald b. debra c. denise d. douglas
Answers
The correct answer is B. Debra
Explanation:
The word "beneficiary" is used to describe the individual that receives a benefit. In the case of a life insurance policy, the receiver is always the person that receives money and other benefits when the person covered by the policy dies. This implies that in the case presented, Denise is the individual covered by the policy and the beneficiary is Debra because she will receive the money once Denise dies, and therefore she is the recipient of the benefits related to the insurance policy.