-4x < 16
How do I solve this inequality?

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

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)

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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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

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

Answer:

Step-by-step explanation:

- A cylindrical fish tank can hold approximately 502.40

cubic inches of water. If the height of the fish tank is

10 inches, what is the radius of the tank? Use 3.14 for

the answer, 6.86

Answer:

$312.40

Step-by-step explanation:

First, multiply his salary per hour by the hours he worked. (9.55 x 28 = 267.4)

Then, find 15% of 300. (300 / 0.15 = 45)

Now add the two numbers together!

267.4 + 45 = 312.40

Answer:

pendiente = -2, y intersection = -1

Step-by-step explanation:

la pendiente es -2 y origen de la y es -1.

Answer:

Step-by-step explanation:

[tex]\sin15^o=\frac{2.5}{r}\\ \\ r=\frac{2.5}{\sin15^o\\ \\ r\approx 9.66ft[/tex]

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:

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.”

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.

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.

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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Answer:

80 is a multiple for all of those

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

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!

Answer:

dont we all

Step-by-step explanation:

did u figure it out by now? comment down

Step-by-step explanation:

Answer:

the answer .08

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

2.49 divided by 30 gives you 0.08 so it's 8 cents per ounce

Answer:

7/25. then do 25-7. take that answer and divide by seven

Step-by-step explanation:

also, make sure to divide the smaller number by 25! it seems weird but it should work! fell free to use a calculator

Answer:

0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

To solve this question, we need to know the combinations formula and conditional probability.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

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.

What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?

Event A: Contains both men and woman

Event B: Consists of two men and 1 woman.

Probability of containing both men and woman:

Desired outcomes:

2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So

[tex]D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351[/tex]

Total outcomes:

3 people from a set of 6 + 9 = 15. So

[tex]T = \frac{15!}{3!12!} = 455[/tex]

Probability:

[tex]P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714[/tex]

Intersection of events A and B:

Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So

Desired outcomes:

2 men(from a set of 6) and 1 woman(from a set of 9).

[tex]D = C_{6,2}*C_{9,1} = 135[/tex]

Total outcomes:

3 people from a set of 6 + 9 = 15. So

[tex]T = \frac{15!}{3!12!} = 455[/tex]

Probability:

[tex]P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846[/tex]

0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.

Answer:

9..........................................................

Step-by-step explanation:

Answer:

Step-by-step explanation:

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]

Answer:

Step-by-step explanation:

Group the like terms:

4x-2x+6-5+9

Add the similar elements:

2x+6-5+9

Add/Subtract the numbers:

2x+10

Answer:

10 + m = 15

Step-by-step explanation:

m = 5

Answer:

59 plain donuts

Step-by-step explanation:

17 chocolate+23 maple=40 in total

89-40=59

59 plain donuts

-(x+1)^2 + 3

move 3 units up, 1 unit to the left, and a reflection from x^2.

Answer:

b) 11.75

Step-by-step explanation:

each quarter is equal to .25 so 3×.25 is .75