Answer:
6 and 9
Step-by-step explanation:
set up an equation and solve for x
(x+3) * x = 54
easiest way to to try some numbers.
if you know your multiplication tables...
what two number multiplied together are 54
be sure the numbers you are thinking of meet the rules
is one 3 more than the other
do they multiply together to get 54
To get the equation of the line, you need two points that belong to this line.
From the given graph, we can choose any two points: (0,-4) and (-2,0)
The general for of the linear straight line is:
y = mx + c where m is the slope and c is the y-intercept
First, we will calculate the slope using the following rule:
slope = (y2-y1) / (x2-x1)
slope (m) = (0--4) / (-2-0) = 4/-2 = -2
The equation of the line now is: y = -2x + c
Then, we will get the value of the c. To do so, we will choose any point and substitute in the equation. I will choose the point (0,-4)
y = -2x + c
-4 = -2(0) + c
c = -4
Based on the above calculations, the equation of the line is:
y = -2x - 4
Answer: (60.858, 69.142)
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where 
is the sample mean , 
is the population standard deviation , n is the sample size and 
is the two-tailed test value for z.
Let x represents the time taken to mail products for all orders received at the office of this company.
As per given , we have
Confidence level : 95%
n= 62
sample mean : 
hours
Population standard deviation : 
hours
z-value for 93% confidence interval: 
[using z-value table]
Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-
Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)
Answer:
Step-by-step explanation:
1. There will be 9 roses in total.
Probability Orange: 2/9
Probability Yellow: 3/9 = ⅓
Probability Pink: 4/9
2. 4/7 as there are 7 bowls in total and 4 are chocolate.
3. 4/10 = ⅖ (simplified) There are 10 fruits in total and 4 are apples.
4. 5/15 = ⅓ (simplified) There are 15 cars in total and 5 or them are cooper minis.
5. 2/6 = ⅓ (simplified) There are 6 textbooks and 2 of them are math.
6. 13/20 There are 20 drinks and 13 of them are lemonade.
7. There are 10 toys in total.
Probability toy cars: 3/10
Probability dolls: 2/10 = ⅕ (simplified)
Probability balls: 5/10 = ½ (simplified)
8. In total the number of red roses and lilies are 7. There are 10 flowers in total so the number of jasmines are 3. Therefore the probability of getting a jasmine is 3/10
9. 20/50 = ⅖ (simplified) There are 50 papers in total and 20 of them are yellow.
10. 8/18 = 4/9 (simplified) There are 18 buses and 8 of them are air conditioned.
Answer:
47.88milliliters
Step-by-step explanation:
Given data
Total amount of the solution= 342 milliliters
14% is acid
Hence the amount of acid
=14/100* 342
=0.14* 342
=47.88milliliters
Therefore there are 47.88milliliters of acid
