Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
21/3 is 7 so there are 7 pens for every 1 ratio
7 x 1 = 7
21+7 = 28
a. The reason why this question is a binomial experiment is based on the fact that it is made up of an independent sample, it has a number that is fixed and a probability.
Each event is made up of two outcomes and they are random with the same success rate.
<h3>b. How to solve probability that exactly 5 had a bachelor</h3>
we have the following data n = 12, p = 0.27 and k = 5
We have to use the function to solve electronically
binompdf(n,p,k)
input the values
= binompdf(12,0.27,5)
This gives us
= 0.1255
<h3>(C) Probability that fewer than 5 have bachelor</h3>
We use the formula below
= binompdf(12,0.27,5-1)
This is = 0.7984
D. Probability of at least 5
1 - probability of fewer than 5
= 1 - 0.7984
= 0.2016
How to solve for the Mean = n*p
n = 12 , p = 0.27
Mean = 12*0.27 = 3.24
and
standard deviation = √npq
n = 12, p = 0.27 , q = 1- 0.27
= 0.73
sd = √12*.27*.73
= 1.54
Read more on binomial experiment here:
brainly.com/question/9325204
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Answer:
50/87
Step-by-step explanation:
-2x+4y=1
3x-6y=9
To find x
First, change the second equation to slope equation.
Next, you will get -6y=3x+ 9 and divide everything by -6. -6y/-6 = 3x/-6 + 9/-6
Then, simplify and you will get y= -1/2x-3/2.
After that, replace the y=-1/2x-3/2 from the second equation and replace the y with (-1/2x-3/2).
Then, use the -2x from the first equation, add 4 and put one of the parentheses after 4 and put down -1/2x-3/2, put another parentheses after -1/2x-3/2, and put the equal sign (=) and after the equal sign, put 1.
Lastly, your equation will look like -2x+ 4(-1/2x-3/2) = 1. Do -2x + 4 and then, multiply the 4 with (-1/2x-3/2). The equation with look like -2x+-4/2x-12/2 = 1.
Simplify the fractions (-4/2x and 12/2) and you will get -2x and 6.
The equation will look like -2x+-2x-6=1 and then, add 6 to the left side of = and the right side of =.
Add -2x and -2x together, it will get you to -4x=-7, and divide -4 on each side.
It will look like this -4x/-4=7/-4. Your answer for x is -1 3/4 or -1.75. I'd rather go with the decimal instead of fraction.
To find y
First, use the second equation.
Next, write down 3 and replace the x with -7/4 in parentheses because I'd rather use an improper fraction instead of a decimal. After the parentheses, subtract the -6y and put =9.
Then, the equation will look like 3/1(-7/4) -6y = 9. Distribute by multiplying 3/1 and -7/4 which will get you to -21/4.
After that, multiply 4/1 to the entire equation. It will look like 4/1(-21/4 -6y = 9). The equation will look like -21 -24y= 36. Add the -21 to both sides of the equation. You will get to -24y = 57. Divide -24y by -24 and 57 by -24. It will look like -24y/-24 = 57/-24. You will get the answer of -57/24, but you have to simplify the answer. If you divide by 3 to the numerator and denominator, you will get -19/8. However, I do prefer the decimal answer, which is -2.37.
Lastly, put the ordered pair together, since x= -1.75 and y= -2.37. Your answer will start with parentheses and then x and end with y and another parentheses, but in between x and y there's always a comma. So, your official answer is (-1.75, -2.37).