Answer:
360 Employees
Step-by-step explanation:
Number of employees who chose gift card / Number of total employees
= 90 / 150
Now, we have to figure out in x / 600 when the x represents the number of employees choosing gift card when there are 600 employees in total.
90 / 150, x / 600
-> cross multiply
54,000 = 150x
Therefore 360 = x.
another way:
(multiply the total number of employees in both ratios) 600 / 150 = 4
Now we multiply 4 by 90 (number of employees choosing gift card)
4*90 = 360
Based on the proportion of employees who chose a gift card in the provided data (60%), you could expect about 360 out of 600 employees to choose a gift card if the same proportion holds.
The given data details that out of 150 employees, 90 have chosen a gift card as a gift. This means that around 60% of the employees have chosen a gift card (90/150 = 0.6 or 60%). To determine how many out of 600 employees might choose a gift card, given the same proportion, one would need to multiply 600 by 60%.
Step 1: Calculate the proportion of employees that chose a gift card. This is 90 out of 150, or 90/150 = 0.6 (60%).
Step 2: Multiply the total number of employees by the proportion who chose a gift card. This is 600 * 0.6 = 360.
Therefore, you could reasonably expect that about 360 out of 600 employees might choose a gift card as their gift if the same proportion holds.
#SPJ12
The factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)
The expression is given as:
x^3 + 4x^2 +5x + 20
Group the expression into two
(x^3 + 4x^2) + (5x + 20)
Factorize each group
x^2(x + 4) + 5(x + 4)
Factor out x + 4
(x^2 + 5)(x + 4)
Hence, the factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)
Read more about expressions at:
#SPJ1
Answer:
0.28
Step-by-step explanation:
For a certain breed of dog,
OFFSPRING OF A BLACK DOG:
Is black = 0.6 Is brown = 0.4
OFFSPRING OF A BROWN DOG:
Is black = 0.2 Is brown = 0.8
If REX is a brown dog of this breed, what is the probability that his grand puppy will be black?
The probability that his grand pup will be black = Probability that his black pups produce black pups + the probability that his brown pups produce black pups.
The probability that his black pups produce black pups:
0.2 × 0.6 = 0.12
The probability that his brown pups produce black pups:
0.8 × 0.2 = 0.16
The probability that his grand pup will be black = 0.12 + 0.16 = 0.28
The probability that the grand-pup of a brown dog (like Rex) will be black is calculated by multiplying the probability that a brown dog will produce a black offspring (0.2) by the probability that a black dog will produce a black offspring (0.6). This results in a probability of 0.12, or 12%.
In this problem, you're looking at the probability of a twice-removed descendent (a grand-pup) being a certain color, given the starting color of the ancestor (Rex). Since the color of the offspring is dependent on the color of the parent, this is a conditional probability problem.
The probability that the offspring of a brown dog will be black is 0.2. If that dog is black, the probability of its own offspring being black is 0.6. So, you multiply those probabilities together to find the probability that a brown dog will have a black grandpup, which is 0.2 * 0.6 = 0.12, or 12%. Therefore, the probability that Rex's grandpup will be black is 12%.
#SPJ3
x = 0.973
3e^(2x) +5 = 26
3e^(2x) = 21 . . . . . subtract 5
e^(2x) = 7 . . . . . . . divide by 3
2x = ln(7) . . . . . . . .take the natural log
x = ln(7)/2 ≈ 0.973 . . . . divide by 2 and evaluate
Answer:
x= .973
Step-by-step explanation:
3e^2x +5=26
Subtract 5 from each side
3e^2x +5-5=26-5
3e^2x =21
Divide by 3 on each side
3/3e^2x =21/3
e^2x =7
Take the natural log on both sides
ln (e^2x) =ln (7)
2x = ln (7)
Divide by 2
2x/2 = ln(7)/2
x = ln(7)/2
x is approximately .972955075
Rounding to the nearest thousandth
x = .973
Answer:
The cell wall lies outside the plasma membrane. The plant cell wall is mainly composed of cellulose. Cellulose is a complex substance and provides structural strength to plants. Bacteria is not a plant therefore its cell wall is made up of peptidoglycan
Step-by-step explanation:
Hello! If you're seeing this, good luck with your schoolwork and have a nice day!
- Classmate
Answer:
Yes. In base 4 numbers if a number ends with 0 or 2 then it is an even number. If it ends with 1 or 3 then it is an odd number.
Step-by-step explanation:
The first 13 numbers in base 4 are written in brackets next to their corrsponding decimal number below
decimal number 0(0) ,1 (1) ,2(2), 3(3), 4(10), 5(11), 6(12), 7(13), 8,(20), 9(21), 10(22), 11(23), 12(30), 13(31) and so on
From above we can deduce that in base-4 any number ending with 0 or 2 is an even nmuber and any number ending with 1 or 3 is an odd number