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FinnZ [79.3K]
3 years ago
11

A person has eaten 2/5 of a cake. When his family comes he wants to split it even with 10 people. How much of the cake will each

person get.
Mathematics
2 answers:
sergij07 [2.7K]3 years ago
6 0
Each person will get 3/5 of the cake
charle [14.2K]3 years ago
5 0
Each of them get 3/5 of a cake .
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zepelin [54]

Answer:

24

Step-by-step explanation:

8 0
2 years ago
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The science teacher has to write report cards for all her students. It takes 1/8 of an hour to complete one report card. How man
Vinvika [58]

Answer:

112

Step-by-step explanation:

If she takes 1/8 of an hour to complete one then she can finish 8 in 1 hour.

8 x 14 = 112

4 0
2 years ago
What do I do it is a quiz due in 5 mins
Alexxandr [17]

8 *6= 42 so it gotta be bigger than 42 and 42 divide by 2  is 21  and 42+21= 63 you got your answer.

3 0
2 years ago
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10
jek_recluse [69]

Answer:

None of the above. The correct answer is 1.47%, 1.10%.

Step-by-step explanation:

The first thing to do is to calculate the Expected return of Stock A and Stock B.

For A;

Probability. Return.

0.1.= 0.1 × 10% = 1.00%

0.2= 0.2 × 13% = 2.60%

0.2= 0.2× 12% = 2.40%.

0.3= 0.3 × 14% = 4.20%

0.2= 0.2 × 15% = 3.00%

Total = 13.20%.

For B;

Probability. Return.

0.1= 0.1 × 8% = 0.80%

0.2= 0.2 × 7% = 1.40%

0.2.= 0.2 × 6% = 1.20%

0.3.= 0.3 × 9% =2.70%

0.2.= 0.2 × 8%= 1.60%

Total = 7.70%.

Hence, the Expected return of Stock A and B = 13.20% and 7.70%. respectively.

Now, let us find the Standard deviation of Stock A and the Standard deviation of Stock B.

For A

For individual value of A, we use the following formula;

(A - Expected return of Stock A)^2 × probability.

For instance,

(10% - 13.20%)^2 × 0.1 =0.000102.

(13% - 13.20%)^2 × 0.2= 0.000001.

(12% - 13.20%)^2 × 0.2 = 0.000029.

(14% - 13.20%)^2 × 0.3 =0.000019.

(15% - 13.20%)^2 × 0.2 = 0.000065.

Which gives us the following values;

0.000102, 0.000001, 0.000029, 0.000019, 0.000065.

The next thing to do is to find the variance (that is the addition of all the values above) and the value for the square root of variance which is the standard deviation.

√( 0.000102 + 0.000001 + 0.000029 + 0.000019 + 0.000065) = 0.000216.

Thus, variance = 0.000216, square root of variance= 0.014697(1.47%).

For B;

We follow as the one above.

(B - Expected return of Stock A)^2 × probability.

We have values as;

0.000001, 0.000010, 0.000058, 0.000051, 0.000002.

√ ( 0.000001 + 0.000010 + 0.000058 +0.000051 + 0.000002).

= 0.011( 1.10%).

8 0
3 years ago
Write the equation of the line that passes through the points (3, 7) and (-1, 2)
nasty-shy [4]

Answer:

y =  \frac{5}{4} x + 3 \frac{1}{4}

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line, m, first.

Gradient=\frac{y1 - y2}{x1 - x2}

m =  \frac{7 - 2}{3 - ( - 1)}  \\ m =  \frac{5}{3 + 1}  \\ m = \frac{5}{4}

y =  \frac{5}{4} x + c

To find the value of c, substitute a coordinate.

when x= -1, y= 2,

2 =  \frac{5}{4} ( - 1) + c \\ c = 2 +  \frac{5}{4}  \\ c = 3 \frac{1}{4}

Thus, the equation of the line is

y =  \frac{5}{4} x + 3 \frac{1}{4}

7 0
3 years ago
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