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.
A + 5 2/3 = 9
a + 17/3 = 9
move the 17/3 over to the other side by subtraction (will need to find a common denominator)
a = 10/3
Hope this helps
Answer:
D, the fourth one
Step-by-step explanation:
There are 8 jumps, and it says 1/2 so it would take 2 jumps for each number which would be 4 as the answer.
To simply this, you just divide the numerator and denominator by its GCF (Greatest common factor)
Factors of 18 : 1,2,3,6,9,18
Factors of 30 : 1,2,3,5,6,10,15,30
As you can see, the great common factors of 18 and 30 is 6.
So divide 18 by 6 and 30 by 6, and you get 3 and 5
Therefore, the simplest form is 3/5
The answer is <span>x - 1 = 3x + 9
All steps are:
</span>Step 1: 4ˣ⁻¹ = 64ˣ⁺³<span>
Step 2: 4</span>ˣ⁻¹ = (4³)ˣ⁺³ <span>
Step 3: 4</span>ˣ⁻¹ = 4³ˣ⁺⁹
Step 4: x - 1 = 3x + 9
Step 5: x - 3x = 1 + 9
Step 6: -2x = 10
Step 7: x = 10/-2
Step 8: x = -5
