Answer:
2 and a half cup
Step-by-step explanation:
A detailed look at the image attached will provide further explanation.
The answer is c.(0,1.50) because $5.25 and $6.25 if u use a calculator u will see your answer
Let Tony's age = x
He is 4 years younger than his brother Josh, so Josh's age would be x + 4
He is 2 years older than his sister, so her age would be x - 2
He has a twin, which would be the same age, so the twins age is also x
They all add together to equal 66, so you get:
x + x + x+4 + x-2 = 66
Simplify:
4x +2 = 66
Subtract 2 from both sides:
4x = 64
Divide both sides by 4:
x = 64/4 = 16
Tony is 16 years old.
Answer:
p-value (0.0208) is less than alpha = 0.05 reject H0.
Step-by-step explanation:
we have the following data:
sample size = n = 75
x, the number to evaluate is 45
the sample proportion would be: x / n = 45/75
p * = 0.6
Now, the null and alternative hypotheses are:
H0: P = 0.72
Ha: P no 72
two tailed test
statistic tes = z = (p * - p) / [(p * (1-p) / n)] ^ (1/2)
replacing we have:
z = (0.6 - 0.72) / [(0.72 * (1-0.72) / 75)] ^ (1/2)
z = -2.31
p-vaule = 2 * p (z <-2.31)
using z table, we get:
p-vaule = 2 * (0.0104)
p-vaule = 0.0208
Therefore, p-value (0.0208) is less than alpha = 0.05 reject H0.
Answer:
Check the explanation
Step-by-step explanation:
Write H(t) for the total sum spent in the United States on health care in year t, where t is measured in years since 2000.
The rate of increase of H(t) was projected to rise from $100 billion per year in 2000 to approximately $190 billion per year in 2010
(a) Find a linear model for the rate of change H'(t)
Slope of line is (190-100)/(2010-2000) = 90/10 = 9 billion dollars per yr
H'(t) - 190 = 9 (t-10) =
H'(t) = 9t + 100 billions dollars per year
(b) Given that $1,300 billion was spent on health care in the United States in 2000, find the function H(t).
H'(t) = 9t + 100 billions dollars per year TAKING INTEGRATION..
H(t) = 9t^2/2 + 100t + C given H(0) = 1300
H(0) = 1300 = C
H(t) = 9t^2/2 + 100t + 1300 billion dollars.
