Using the law of cosins
sin(angle) = Opposite Leg / Hypotenuse
The angle is given as 35 degree and the hypotenuse is given as 30 feet.
Sin(35) = X ( opposite leg) / 30
X = 30 * sin(35)
x = 17.2 feet.
Total height = 17.2 + 6.5 = 23.7, round to 24 feet.
The answer is 24 feet.
The entire shipment contains 9 2/7 tons of sugar
Step-by-step explanation:
- Step 1: Find the total amount of sugar in the entire shipment.
Number of containers in the shipment = 4 1/3 = 13/3
Number of tons of sugar = 2 1/7 = 15/7
⇒ Total amount of sugar = 13/3 × 15/7 = 65/7 = 9 2/7 tons
Answer:
none
Step-by-step explanation:
i dont know
Answer:
15.7
Step-by-step explanation:
The equation for finding the circumference of a circle is
2 x pi x r(radius). Radius is half the diameter.
5/2=2.5
2 x 3.14 x 2.5
=15.7
Answer:
We accept H₀ . We don´t have enough evidence to express the publisher claim is not true
Step by Step explanation:
We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher
n < 30 then we must use t - distrbution
degree of freedom n - 1 df = 22 - 1 df = 21
As the question mentions " different " that means, a two-tail test
At 0,01 significance level α = 0,01 α/2 = 0,005
and t(c) = 2,831
Test Hypothesis
Null Hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ ≠ μ₀
To calculate t(s)
t(s) = ( μ - μ₀ ) /σ/√n
t(s) = ( 433,50 - 385 ) / 86,92 / √22
t(s) = 2,6171
Comparing t(c) and t(s)
t(s) < t(c)
Then t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim