Area of a right triangle is 1/2 x height x base
The area of the first triangle is 1/2 x 12 x 15 = 90 square cm.
The area of the other triangle is 90 and one side is 18:
90 = 1/2 x 18 x S
Multiply both sides by 2:
180 = 18 x S
Divide both sides by 18:
S = 180/18
S = 10
The length of the other side is 10 centimeters
Loan u
R=(1+0.0997/360)^360)-1
R=0.105*100=10.5%
Loan v
R=(1+0.1016/4)^4)-1
R==0.106*100=10.6%
Loan u is the lower by 0.1%
Answer:
a) T test
b) Claim
because critical value is not equal to test statistic then reject null hypothesis
Step-by-step explanation:
Construction of hypothesis
H₀ : p = 75
H₁ : p ≠ 75
Here Standard deviation = 7
sample = n = 50
Average = x-bar = 78
Level of significance:
∝ = 5% = 0.05
Degree of freedom:
df = n-1
= 50 -1 = 49
Critical value :
± 1.96
a) T test
test t is used as average X mean is used
Test Statistic:
t = X₂ - X₁ / Sd /√n
= 78 - 75 / 7/√50
=3.0304
Critical region :
We take two tail T test
test statistic is in reject interval. Reject H₀
b) Claim
because critical value is not equal to test statistic then reject null hypothesis
Speed is the rate of distance over time.
<em>The speed of the boat is 13mph south-west</em>
Given
<em />
<em> --- west</em>
<em />
<em> -- south</em>
<em />
The speed is illustrated with the attached image
Because both speeds act at a diagonal, the speed (v) of the boat is calculated using Pythagoras theorem as follows:
Take square root
<em />
<em>Hence, the speed of the boat is 13mph south-west</em>
Read more about speed at:
brainly.com/question/22610586
