Answer:
The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08
Step-by-step explanation:
To solve this exercise we have to know that the probability is calculated by dividing the number of favorable events by the number of possible events.
f = favorable events
we will count how many numbers between 1 and 50 have the same number in the ones place in the tens place
11 ; 22 ; 33 ; 44
as we can see there are 4 numbers
f = 4
p = possible events
the number of possible events is given by the number of cards in the deck
p = 50
4/50 = 0.08
The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08
Answer:
<em>774 dollars</em>
Step-by-step explanation:
Given the amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation
y = -8x^2 + 242x – 1056
The company made her maximum profit when dy/dx = 0
dy/dx = -16x + 242
0 = -16x + 242
16x = 242
x = 242/16
x = 15.125
Get the maximum amount of the profit
Substituting x = 15.125 into the function we have:
y = -8(15.125)^2 + 242(15.125) – 1056
y = -8(228.77)+3,660.25-1056
y = -1,830.09+3,660.25-1056
y = 773.91
<em>Hence the maximum amount of profit the company can make, to the nearest dollar is 774 dollars</em>
The equation
equals to 
Step-by-step explanation:
We need to solve the equation:

Solving:
Adding 9 on both sides

Applying absolute rule: |u| < a and a > 0 then, -a < u < a
So, 
Now we have,
m-8>-9 and m-8 <9
m>-9+8 and m <9+8
m>-1 and m<17
Combining the intervals:
-1 < m < 17
So the equation
equals to 
Keywords: Inequality, Absolute rule
Learn more about inequality at:
#learnwithBrainly
Answer:
the answer to 5x-7(2-4x)= =33x−14
the answer to 8 - 3(6 - 6x) ==18x−10
the answer to 9a - 4(2a + 5) ==a−20
Step-by-step explanation: