Answer:
0.45 liters
Step-by-step explanation:
Let the initial amount of water in the tank be x.
Then, the volume of water was 8 times as much as the initial volume, that is 8x.
Then, another 16.75 liters of water is added and the total volume of water is now 20.35 liters.
This means that the amount of water in the tank is now:
8x + 16.75 = 20.35
Let us find x:
8x = 20.35 - 16.75
8x = 3.6
x = 3.6/8 = 0.45 liters
There was 0.45 liters of water in the tank initially.
Answer:
1) Is 90° because that's what the little square in the corner means.
2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.
3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.
4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.
5) Is also 90° because the angle across from it (1) looks to be around the same size.
I solved for each in the following order:
1, 5, 4, 3, 2.
I hope this helps. Also please let me know if I got something wrong or if you still need help :)
Using the binomial distribution, it is found that the probabilities are:
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Exercise 1:
The parameters are:
n = 15, p = 0.4, x = 4.
Then:
Exercise 2:
The parameters are:
n = 12, p = 0.2, x = 2.
Then:
Exercise 3:
The parameters are:
n = 20, p = 0.05.
The probability is:
Using the binomial formula for each value and adding them:
More can be learned about the binomial distribution at brainly.com/question/24863377
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They need to buy six because they will end up with fifty four.
(they cant buy five because they would end up with forty five and that wouldnt be enough)
44)
{(-2,1),(1,3),(3.2),(4,-2)}
45)
f(x)=7x+2
f(-1)=7(-1)+2=-7+2=-5
f(3)=7(3)+2=21+2=23
f(5)=7(5)+2=35+2=37
{5,23,37}
Select the table that represents the following graph
x y
-1 -4
0 -1
1 2
2 5
Given f(x)=10x+4 and g(x)=3x-8
f(x)+f(x)=(10x+4)+(3x-8)=13x-4
13x-4
Question 49
f(x)=x²-3x and g(x)=4x⁵
f(x)*g(x)=(x²-3x)(4x⁵)=4x⁷-12x⁶
4x⁷-12x⁶
Question 50
(0,3)
f(x)=-2x/3 + 2
f⁻¹(x)=-3x/2+3
f⁻¹(0)=3
If the gradient of a hill is 8%...
2/25
2*(100%)/25=8%
Question 53
given two points (x₁,y₁) and (x₂,y₂)
m=slope
m=(y₂-y₁)/(x-x₁)
(2,5) and (1-4)
m=(-4-5) / (1-2)=-9/-1=9
9
Question 54
a decrease of 25 ant per minute
The following belows values...
K=y₁/x₁=-6/2=-3
-3
question 56
84 miles/4 gallons=189 miles/x
x=(189 miles * 4 gallons) / 84 miles=9 gallons
9 gallons
Question 57
4x+3y=1
Question 58
if x=0 ⇒ 4*0+5y=80 ⇒y=80/5=16
16