Answer:
x = 17
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )
x = 
= 17
MATHEMATICALLY WE WRITE THIS AS
THE ANSWER IS 13
GOODLUCK
Answer:
See below.
Step-by-step explanation:
A correct.
B correct.
C correct.
D correct.
E incorrect.
F correct.
G incorrect.
H correct.
I incorrect.
J incorrect.
K correctt.
-hope it helps
For 37 you have a 90° angle, so you add 6x + 14 and 3x + 29 and get 9x + 43 and now set this equal to 90 and solve for x, and then plug x into the original equation for each angle to solve
Answer:
a) Z= 0.0228
b) based on the critical value, it is a one tailed test
c) Since the p-value is less than the level of significance (α= 0.05) so we reject the null hypothesis.
This implies that the advertising campaign has been effective in increasing sales.
Step-by-step explanation:
The null hypothesis is H₀ : µ = 8000
The alternative hypothesis is H₁ : µ ˃ 8000
Mean (µ) = 8000
Standard deviation (σ) = 1200
n = 64
We will use the Z test to test the hypothesis
Z = (X - µ)/ (σ/√n)
Z = (8300 – 8000)/ (1200/√64)
Z = 300/ (1200/8)
Z = 300/ 150
Z= 2
From the normal distribution table,
2 = 0.4772
Φ(z) = 0.4772
Since Z is positive,
P(x˃a) =0.5 - Φ(z)
= 0.5 – 0.4773
= 0.0228
The required P-value = 0.0228
The P-value of one tail Z test at α= 0.05 level of significance
P-value = p(Z˃2.5)
= 0.0228
Since the p-value is less than the level of significance (α= 0.05) so we reject the null hypothesis.
This implies that the advertising campaign has been effective in increasing sales.
