Answer:
460
Step-by-step explanation: multiply all numbers to get your answer
Answer:
4.5 inches
Step-by-step explanation:
To find the height in inches of the model, you need to change the ration into a fraction:

Then try to figure out the value of the denominator in terms of the ratio:

In this equation we need to figure out how much the denominator of the fraction is changing by, by dividing 725 by 50. Then, multiply that by one:

Answer:
0.26 and 0.577
Step-by-step explanation:
Given :
x :___0 ___ 1 ____ 2 ____ 3
f(x):_0.80 _0.15__0.04 __0.01
The mean :
E(X) = Σ(x * p(x))
E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)
E(X) = 0 + 0.15 + 0.08 + 0.03
E(X) = 0.26
Var(X) = Σx²*p(x)) - E(x)²
Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4
Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324
Std(X) = √0.334 = 0.577
Answer:
Write 21 in the soup column and 25 in the peanut butter column.
Explanation:
The ratio of cans of soup to jars of peanut butter was 7:5
If the jars of peanut butter were 15, then the cans of soup would be (7/5 × 15) = 21
If the cans of soup were 35, then the jars of peanut butter would be (5/7 × 35) = 25
Answer:
x = 14.5
Step-by-step explanation:
This is a supplementary angle, meaning the sum of the angles is 180°.
We can find the value of x by combining like terms.
5x - 6 + 7x + 12 = 180.
5x and 7x are alike.
5x + 7x = 12x.
-6 + 12 = 6.
The final equation is 12x + 6 = 180.
We can solve this by subtracting 6 from 180.
180 - 6 = 174.
12x = 174
Lastly, we divide 174 by 12.
174 / 12 = 14.5
Therefore, x is equal to 14.5