Answer:
H0: μm − μw = 0
against the claim
Ha: μm − μw ≠ 0
Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μm − μw = 0
against the claim
Ha: μm − μw ≠ 0
2) The significance level is set at 0.05
3) The critical region is z > + 1.96 and z< -1.96
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 411/ 1390= 0.2956 and p2= 213/753=0.2829
pc = 411+ 213/1390+753
pc=624/2143
pc= 0.2912
qc= 1-pc= 1-0.2912=0.7088
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.2956-0.2829/√ 0.2912*0.7088( 1/1390+ 1/753)
z= 0.0127/ √0.2064 (0.00204)
z= 0.0127/0.02056
z= 0.6177
6) Conclusion
Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.
The statements that would complete the proof where ∠2 ≅ ∠7 by the transitive property are:
∠2 ≅ ∠3
∠3 ≅ ∠7
<h3>What is the Transitive Property?</h3>
The transitive property states that if x = y, and y = z, then x = z.
From the image given below, we have:
∠2 ≅ ∠3 because they are vertical angles which must be congruent.
∠3 ≅ ∠7 because corresponding angles are congruent.
Applying the transitive property, we can state that: ∠2 ≅ ∠7.
Therefore, the statements that would complete the proof are:
Learn more about the transitive property on:
brainly.com/question/2437149
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A right triangle has one 90 angle.
The sum of the three angles of any triangle is equal to 180 degrees.
180-90= 90 degrees.
The answer is C.
Answer:
20 ft²
Step-by-step explanation:
the area (A) of a triangle is calculated using the formula
A =
bh ( b is the base and h the height )
here b = 5 and h = 8
A =
× 5 × 8 = 20 ft²
Hello!

We can go through each answer to verify whether each is equivalent to 8 : 6.
4 : 3 is equivalent to 8 : 6 because reducing the ratio 8 : 6 by a factor of 2 yields 4 : 3.
6 : 8 is not equivalent to 8 : 6 because the ratio is reversed.
16 : 12 is equivalent to 8 : 6 because the ratio is increased by a factor of 2.
10 : 8 is not equivalent to 8 : 6. We can verify this by checking whether each term was scaled equally:
10 ÷ 8 = 1.25
8 ÷ 6 = 1.33. Therefore, they are unequal.
7 : 5 is not equal to 8 : 6 for the same reason.
The only correct choices are:
4 : 3 and 16 : 12.