Answer:
14,15,16
Step-by-step explanation:
Let x be the first number
Consecutive means in a row
x+1 is the second number
x+2 is the third number
x+ x+1 + x+2 = 45
Combine like terms
3x+3 = 45
Subtract 3 from each side
3x+3-3=45-3
3x = 42
Divide each side by 3
3x/3 = 42/3
x =14
The first number is 14
The second number is 14+1 = 15
The third number is 14+2 =16
Answer:
c. 6x6
Step-by-step explanation:
because 6x6 is =36
Answer:
Ratio is how many times a number contains another. A ratio can be found by doing the equation multiplying or dividing each term in the ratio by the same number
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Proof</u><u> </u><u>:</u><u>-</u><u> </u>
Here we are required to prove that ,
And here it's given that , y || z . Therefore ,
- ∠3 = ∠6 ( alternate interior angles )
- ∠1 = ∠5 ( alternate interior angles )
Now we know that the measure of a straight line is 180°. Therefore ,
Hence Proved !
Answer:
There is not a convincing statistical evidence, at the significance level of a = 0.05, that the manager's belief is correct.
As the null hypothesis maybe false accepting it makes a type II error.
Step-by-step explanation:
Let the null and alternate hypotheses be
H0: p ≤ 0.4 vs Ha : p>0.4
q= 1-p= 1-0.4= 0.6
The significance level alpha is 0.05
The critical region for one tailed test is Z> ± 1.645
The sample proportion is p^= x/n= 38/90=0.42222
Using the z statistic
z= p^- p/ √pq
z= 0.422-0.4/ √0.4*0.6
z= 0.04536
Since the calculated value of z= 0.04536 does not lie in the critical region Z> ± 1.645 we fail to reject null hypothesis.
There is not sufficient evidence to support the manager's claim.
Type I error is when we reject the true null hypothesis .
Type II error is when we accept the false null hypothesis .
As the null hypothesis maybe false accepting it makes a type II error.
