Answer:
Check explanation below!
Step-by-step explanation:
» <u>Solving</u>
Step 1: Subtract 4x from both sides.
Step 2: Divide both sides by -5.
Answer:
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
Step-by-step explanation:
State the null hypothesis
H0: u = 60against the claim
Ha u≠ 60 (this is a two tailed test)
Sample size n= 36
Sample mean=X`= 55
Population mean = u= 60
The significance level α = 0.05
Standard deviation= Sd = 22 seconds
Z= X`- u / Sd /√n
Z= 55- 60 / 22/√6
z= - 5/22/6
Z= -1.3635
The value of z from the table is Z∝/2= ±1.96
The critical region is less than - 1.96 and greater than 1.96.
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
Well, one angle has one share of the linear angle, and the other one has five shares. All together, they add up to six shares of the linear angle.
BUT ... a linear angle adds up to 180°. So each share must be (180°/6) = 30°.
The smaller one (one share) is 30°, and the larger one (5 shares) is 150°.
Answer:
The correct answer is x =9
Step-by-step explanation:
It is given that, the polygons are similar.
Then the ratio of corresponding sides are equal.
<u>To find the ratio of corresponding sides</u>
corresponding sides are
16 and 12 ratio = 12/16 = 3/4
32 and 24 ratio = 24/32 = 3/4
x - 1 and 6
y + 1 and 21
Therefore we can write 6/(x-1) = 3/4
<u>To find the value of x</u>
6/(x-1) = 3/4
24 = 3(x-1)
24 = 3x - 3
3x = 27
x = 27/3
x = 9
Therefore the value of x = 9
