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lyudmila [28]
3 years ago
7

The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. what is the probability that

washing dishes tonight will take me between 11 and 13 minutes?
Mathematics
1 answer:
Bumek [7]3 years ago
3 0
12 min 12 min 12 min 12 min
You might be interested in
??? Anyone know how to answer this question
True [87]
Answer: 35 additional teachers are needed

-------------------------------------------------
-------------------------------------------------

Explanation:

We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio

2470/x = 26/1

where x is the number of teachers. Cross multiply and solve for x

2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95

So we have 95 teachers currently

-------------

Let y be the new number of teachers needed to bring the ratio down to 19:1

Using a similar idea as done above, we would have this ratio

2470/y = 19/1

Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130

So we'll need 130 teachers to have the ratio be 19:1

The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
5 0
3 years ago
Simplify completely
Mandarinka [93]

Answer: x+2 / x+ 9, x = -2, x=-9   ( A )

Solution:

Breakdown the problem into two sets

Step 1:  simplify x^2 -10x - 24

Factorize the above equation,

Multiply the last term (24) with the first term coefficient i.e. 1

Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10

x2 - 12x + 2x - 24  >>>>  (x2-12x) + (2x-24) >>> take common

>>>> x(x-12) + 2( x-12)

Step 3:   (x + 2)  (x - 12)

Step 4: Step 1:  simplify x^2 - 3x - 108 using the same steps

x2 - 12x + 9x - 108 >>>>  take common x(x-12) + 9 ( x -12) >>>

(x + 9)  (x - 12) final product

Now, Simplify the equation as a whole

 (x + 2)  (x - 12) /  (x + 9)  (x - 12)                         Note:  (x - 12) cancels out  

=  (x + 2) /  (x + 9)     with x= -2 and x= -9

6 0
3 years ago
Check wether the given value is the solution to the equation<br><br> 3(y+8)=2y-6 y=30
erma4kov [3.2K]
30+8*3=114 2y-6=56.... I think your answer would be 170 but I'm not completely sure
4 0
3 years ago
X + 20 is greater than 4x -1
Paul [167]

Answer:

False; they are equal.

Step-by-step explanation:

The equation is x + 20 > 4x - 1.

First, do the opposite of -1 and add one to the other side while -1+1 cancels out. Now it's x+21 > 4x. Now subtract x from both sides. Positive x minus negative x cancels out and 4x minus x or 1x is 3x. Now you're left with 21> 3x. Now do the inverse operation of multiplication and divide both sides by 3. Now the 3x over 3 cancels out and 21 divided by 3 is 7. So x is 7. If you substitute it in. It will be 7+20 which is 27 which is great than 4(7)-1 which is 28-1. 28-1 is 27. So, the equation is false. They are equal.

7 0
3 years ago
R + 11 + 8r= 29<br> Show answer
____ [38]

Answer:

r=2

Step-by-step explanation:

r + 8 r + 11 = 29

( 1 + 8 ) r + 11 = 29 9 r + 11 = 29

Now we can isolate and solve for r while always keeping the equation balanced: First, subtract 11 from each side of the equation:

9 r + 11 − 11 = 29 − 11

9 r + 0 = 18

9 r = 18

Now we can divide each side of the equation by 9 to get

r : 9 over 9 = 18 under 9

1 r = 2

r = 2

6 0
3 years ago
Read 2 more answers
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