Some money is shared between erin, faye and sachin in the ratio 5:2:7. Faye gets £90 less than sachin. How much money did Erin get?
Answer:
Erin gets £90
Step-by-step explanation:
Ratio = 5 : 2 : 7
Money with Erin = 5x
Money with Faye = 2x
Money with Sachin = 7x
Faye gets £90 less than Sachin
7x - 2x = 90
5x = 90
x = 90/5
x = 18
Money with Erin = 5*18 = 90
A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 2.5 feet above the base of the building.
Approximately, how long is the ramp?
A. 0.65 feet
B. 2.59 feet
C. 9.33 feet
D. 9.66 feet
Answer:
Step-by-step explanation:
[tex]\sin15^o=\frac{2.5}{r}\\ \\ r=\frac{2.5}{\sin15^o\\ \\ r\approx 9.66ft[/tex]
Ingrid is buying a pair of pants with an original cost of c dollars. The pants are on sale for 15% off their original cost. which two calculations could Ingrid perform in order to find the amount she needs to spend?
Answer:
c-0.15c and 0.85c
Step-by-step explanation:
c - 0.15c & 0.85c , this two calculations could Ingrid perform in order to find the amount she needs to spend.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
Ingrid is buying a pair of pants with an original cost of c dollars.
The pants are on sale for 15% off their original cost.
i.e. cost = c - 15%*c
= c - 0.15c
Again, it can be written as,
the cost= c - 0.15c
= 0.85c
Hence, c - 0.15c & 0.85c , this two calculations could Ingrid perform in order to find the amount she needs to spend.
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39.76 divided by 2.8
Answer:
14.2
Step-by-step explanation:
39.76 divided by 2.8 is equal to 14.200. Write the division expression: 39.76 ÷ 2.8
Step 1: Perform long division or use a calculator.
When performing the division, you'll get:
14.200
2.8| 39.76
First, you determine how many times 2.8 can be divided into 39.76 without exceeding it. The answer is 14.200, meaning that 2.8 goes into 39.76 approximately 14.200 times.
Step 2: Round the result (if necessary).
If you need to round the result to a certain number of decimal places, in this case, we rounded it to three decimal places:
39.76 ÷ 2.8 ≈ 14.200
So, the result of dividing 39.76 by 2.8 is approximately 14.200.
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Complete question is:
Solve: 39.76 divided by 2.8
What is the answer? I need help
Step-by-step explanation:
B
110 +120 + 70 +ACD
(Must equal 360°)
ACD =60°
An electrician is told to cut a piece of conduit to 11 and 3/4”. What would the decimal equivalent be?
A) 11.50
B) 11.75
C)11.25
D)11
Answer:
b) 11.75
Step-by-step explanation:
each quarter is equal to .25 so 3×.25 is .75
Find the value of 18 ÷ 9 ∙ 3.
6
Answer:
36 iyi derler kolay gelsin
Let X be a random variable with probability mass function P(X = 1) = 1 2 , P(X = 2) = 1 3 , P(X = 5) = 1 6 (a) Find a function g such that E[g(X)] = 1 3 ln(2) + 1 6 ln(5). Your answer should give at least the values g(k) for all possible values k of X, but you can also specify g on a larger set if possible. (b) Let t be some real numb
The question is incomplete. The complete question is :
Let X be a random variable with probability mass function
P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6
(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5). You answer should give at least the values g(k) for all possible values of k of X, but you can also specify g on a larger set if possible.
(b) Let t be some real number. Find a function g such that E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)
Solution :
Given :
[tex]$P(X=1)=\frac{1}{2}, P(X=2)=\frac{1}{3}, P(X=5)=\frac{1}{6}$[/tex]
a). We know :
[tex]$E[g(x)] = \sum g(x)p(x)$[/tex]
So, [tex]$g(1).P(X=1) + g(2).P(X=2)+g(5).P(X=5) = \frac{1}{3} \ln (2) + \frac{1}{6} \ln(5)$[/tex]
[tex]$g(1).\frac{1}{2} + g(2).\frac{1}{3}+g(5).\frac{1}{6} = \frac{1}{3} \ln (2) + \frac{1}{6} \ln (5)$[/tex]
Therefore comparing both the sides,
[tex]$g(2) = \ln (2), g(5) = \ln(5), g(1) = 0 = \ln(1)$[/tex]
[tex]$g(X) = \ln(x)$[/tex]
Also, [tex]$g(1) =\ln(1)=0, g(2)= \ln(2) = 0.6931, g(5) = \ln(5) = 1.6094$[/tex]
b).
We known that [tex]$E[g(x)] = \sum g(x)p(x)$[/tex]
∴ [tex]$g(1).P(X=1) +g(2).P(X=2)+g(5).P(X=5) = \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$[/tex]
[tex]$g(1).\frac{1}{2} +g(2).\frac{1}{3}+g(5).\frac{1}{6 }= \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$$[/tex]
Therefore on comparing, we get
[tex]$g(1)=e^t, g(2)=2e^{2t}, g(5)=5e^{5t}$[/tex]
∴ [tex]$g(X) = xe^{tx}$[/tex]
Keith must choose a number between 61 and 107 that is a multiple of 4, 5, and 10.
Answer:
80 is a multiple for all of those
Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3),C(0, -2), and D(-5, -2): k = 3
Answer:
A(-12,3)
B(-6,9)
C(0,-6)
D(-15,-6)
Step-by-step explanation:
So this is called dilations and i'm fairly new at it but how it works is you multiply the starting points by what k equals so that's how you get the answer.
a line is parallel to y=4x+11 and intersects (-2,4)
Answer:
If you're looking for the equation, it's y=4x+12
Step-by-step explanation:
See picture
What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer: 6,6. 12,18. 18,6
Step-by-step explanation:
cause I got it right..
The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given graph has a triangle ABC.
The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)
We have to find the coordinates of triangle ABC after a dilation with scale factor 3.
Dilation is the scaling of an object, where it gets bigger or smaller
Now the coordinates after dilation are A'(6,6)
B'(12, 18)
C'(18, 6)
Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)
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HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
The perimeter of the parallelogram shown is 244 inches. The
difference between the lengths of the sides is 20 inches. Assuming 2x+3y is the longest side, find the length of each side.
A. 16 inches, 13 inches
B. 66 inches, 56 inches
C. 71 inches, 51 inches
D. 74 inches, 54 inches
Answer:
9..........................................................
Step-by-step explanation:
yo yo i need help trying to bring my grade up yo it would be helpful yo
Answer:
(0,3)
(1,7)
(2,11)
(5,23)
(10,43)
Step-by-step explanation:
The line with this slope-intercept form crosses through these points.
Hope it helps!
Answer: ayo bailcop i got you hit em with a 45
Step-by-step explanation:
Compare mean, median, mode, and standard deviation.
Answer:
The mean, median and mode are all estimates of where the "middle" of a set of data is. These values are useful when creating groups or bins to organize larger sets of data. The standard deviation is the average distance between the actual data and the mean.
Step-by-step explanation:
Please Mark Brainliest!
Compare 3/5 to 4/9. Is it equal, greater than or less than?
Answer:
3/4 > 4/9Step-by-step explanation:
because 3/5 = 0.64/9 = 0.440.6 > 0.44MARK ME AS BRAINLISTbiked 4 ½ miles today, and biked 6 ¾ miles. How many times further did bike compared to ’ ride? SHOW YOUR WORK.
Answer: 2 1/4
Step-by-step explanation: first off change the 1/2 to 2/4. then subtract 6 3/4 to 4 2/4. which gives you 2 1/4
valor de la pendiente y de la ordenada al origen de y = −2x − 1
Answer:
pendiente = -2, y intersection = -1
Step-by-step explanation:
la pendiente es -2 y origen de la y es -1.
Tell me what x is idc if you explain
68 times a number minus 45 is equal to −98 less than the number.
Answer:
Step-by-step explanation:
68n-45=n-98
67n=-53
n=-53/67
Answer:
x = [tex]-\frac{53}{69}[/tex]
Step-by-step explanation:-
- Rearrange the terms
68x - 45 = -x - 98
- Add 45 to both sides
68x = -x - 53
- Subtract x from both sides
69x = -53
x = [tex]-\frac{53}{69}[/tex]
hope this helps!! :]
Hi I need help with
Answer:
B
Step-by-step explanation:
Ab*h= 3*2*5= 30
which is B
if my answer helps please mark as brainliest.
I need help really really bad
Answer:
dont we all
Step-by-step explanation:
did u figure it out by now? comment down
Step-by-step explanation:
write the simplest form of the ratio 14:16:8
Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?
Next Page »
Confidential unpublished work ©2018 by PSI Services LLC
Answer:
Number of candies with Ian = 4
Step-by-step explanation:
Let Ian has [tex]x[/tex] candies.
Number of candies with Jason = [tex]3x[/tex]
Number of candies with Shawn = [tex]4(3x)=12x[/tex]
Total number of candies = 64
So,
[tex]x+3x+12x=64\\16x=64\\x=4[/tex]
Therefore,
Number of candies with Ian = 4
One positive integer is 4 less than twice another. The sum of their squares is 445. Find the integers.
9514 1404 393
Answer:
11, 18
Step-by-step explanation:
Let x and y represent the two integers.
y = 2x -4 . . . . . one is 4 less than twice the other
x^2 +y^2 = 445 . . . . the sum of their squares is 445
Substituting for y using the first equation, you have ...
x^2 +(2x -4)^2 = 445
5x^2 -16x -429 = 0 . . . . . collect terms, subtract 445
(5x +39)(x -11) = 0 . . . . . . factor*
The positive solution is the value of x that makes a factor zero:
x = 11
y = 2(11) -4 = 18
The two integers are 11 and 18.
_____
* The factoring is greatly aided by the knowledge that x=11 is a solution, found using the graphing calculator.
Three friends want to share 1/4 pound of chocolate. If they cut the chocolate into equal pieces,how much does each piece of chocolate weigh, in pounds
Answer:
I gotchu its 1/12
Step-by-step explanation:
I think the answer is 1/12 bc...
Keep change flip so
1/4÷3=?
is now...
1/4 keep
÷ is now x (division changes to multiplication)
3 is a whole number an that can turn into 3/1 which flipped is 1/3
The equation is 1/4 x 1/3
1/4 x 1/3 = 1/12
The answer is 1/12
Hope this helped :)
Posted on: 2-24-2021 at 8:37am
Positive quote of the day:
“Every day may not be good... but there's something good in every day.”
Sally can paint 90 ft2 of wall per hour. Write a linear function that describes how many square feet of wall she can paint over time. Then make a graph to show how many square feet she can paint over the first 4 hours.
Answer:
Hello...
Hello...Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.
Hello...Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.
Hello...Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.Together in 1 hour they can paint: - 1/4 + 1/6 = 5/12th of the house.
Hello...Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.Together in 1 hour they can paint: - 1/4 + 1/6 = 5/12th of the house.Total Hours for painting the house together will be 12/5 = 2.4 Hours.
hope it helps
The linear function that describes how many square feet of wall she can paint over time is y = 90x.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given the area painted by Sally in one hour = 90 square feet
so from the given data, we can find that the area painted by Sally is directly proportional to the time,
let she paint for x hours and the area she painted be y,
the equation for the condition is y = 90x,
where x is in hours and y is in square feet,
Table for the area she painted in first 4 hours
x(hours) 1 2 3 4
y ( sq. feet) 90 180 270 360
The graph for the first four hours is attached.
Hence the equation is y = 90x.
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The bakery made 89 donut. Seventeen were chocolate, 23 were maple, and the rest were plaint glazed. How many plain donuts did the bakery make ?
Answer:
59 plain donuts
Step-by-step explanation:
17 chocolate+23 maple=40 in total
89-40=59
59 plain donuts
Choose the equation that has m=5 as the solution.
Answer:
10 + m = 15
Step-by-step explanation:
m = 5
A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the disease. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.9. Only 3% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is the conditional probability that she does, in fact, have the disease
Answer:
0.2177 = 21.77% conditional probability that she does, in fact, have the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Test positive
Event B: Has the disease
Probability of a positive test:
90% of 3%(has the disease).
1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So
[tex]P(A) = 0.90*0.03 + 0.1*0.97 = 0.124[/tex]
Intersection of A and B:
Positive test and has the disease, so 90% of 3%
[tex]P(A \cap B) = 0.9*0.03 = 0.027[/tex]
What is the conditional probability that she does, in fact, have the disease
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177[/tex]
0.2177 = 21.77% conditional probability that she does, in fact, have the disease