How many more equal angles does a square have than a rectangle?

The mean finish time for a yearly amateur auto race was 186.32 minutes with a standard deviation of 0.305 minute. The winning c

uranmaximum [27]

Complete Question

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.305 minute. The winning car, driven by Roger, finished in 185.85 minutes. The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

Find their respective z-scores.

Who had the more convincing victory?

A. Roger had a more convincing victory because of a higher z-score.

B. Karen a more convincing victory because of a higher z-score.

C. Roger had a more convincing victory, because of a lower z-score.

D. Karen a more convincing victory because of a lower z-score.

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The mean of the current year is $\mu_c = 186.32 \ minutes$

The standard deviation is $\sigma_c = 0.305 \ minutes$

The time taken by the winning car for the current year is $x = 185.85 \ minutes$

The mean of the previous year is $\mu_p = 110.7 \ minutes$

The standard deviation the previous year is $\sigma_p = 0.115 \ minutes$

The time taken by the winning car for the previous year is $y = 110.48 \ minutes$

Generally the z-score for current year is mathematically evaluated as

$z_c = \frac{x- \mu_c}{\sigma_c }$

=> $z_c = \frac{ 185.85- 186.32}{0.305 }$

=> $z_c = -1.536$

Generally the z-score for previous year is mathematically evaluated as

$z_p = \frac{y- \mu_p}{\sigma_p }$

=> $z_p = \frac{ 110.48-110.7}{0.115 }$

=> $z_p = -1.913$

From the value obtained we see that $z_p < z_c$ , Hence Karen had a more convincing victory because of the lower z -score.

5 0

3 years ago

Use synthetic division to find the quotient and remainder. Express your answer as a polynomial.

OLEGan [10]

1. 2x³ - 11x² + 13x - 21 ÷ x - 3

x - 3 = 0 ⇒ x = 3

3 | 2 -11 13 -21

| ↓ 6 -15 -6

2 -5 -2 -27

1. Answer: 2x² - 5x - 2 - $\frac{27}{x - 3}$

*************************************************************

2. 3x³ + 7x² - 13x + 10 ÷ x + 2

x + 2 = 0 ⇒ x = -2

-2 | 3 7 -13 10

| ↓ -6 -2 30

3 1 -15 40

2. Answer: 3x² + x - 15 + $\frac{40}{x + 2}$

3. 2x³ + 13x² - 21x + 9 ÷ x - 1

x - 1 = 0 ⇒ x = 1

1 | 2 13 -21 9

| ↓ 2 15 -6

2 15 -6 3

3. Answer: 2x² + 15x - 6 + $\frac{3}{x - 1}$

4. 7x³ + 0x² - 8x + 16 ÷ x - 2

x - 2 = 0 ⇒ x = 2

2 | 7 0 -8 16

| ↓ 14 28 40

7 14 20 56

4. Answer: 7x² + 14x + 20 + $\frac{56}{x - 2}$

5. 8x⁴ - 14x³ - 71x² - 10x + 24 ÷ x - 4

x - 4 = 0 ⇒ x = 4

4 | 8 -14 -71 -10 24

| ↓ 32 72 4 -24

8 18 1 -6 0

5. Answer: 8x³ + 18x² + x - 6

8 0

3 years ago

6. Find the total bill:

daser333 [38]

First multiply all the items up with their correct prices.

5 Golf Clubs = 18.65 each

5 x 18.65 = 93.25

60 Golf Balls = 16.50 per dozen

60 = 5 dozen

5 x 16.50 = 82.5

1 pair of golf shoes = 75.80

1 x 75.80 = 75.80

Now, add them all up.

93.25 + 82.5 + 75.80 = 251.55

Lastly, multiply by 1.15 to add the 15% sales tax.

251.55 x 1.15 = 289.28

Thus, the total cost of all the equipment with tax is $289.28

7 0

3 years ago

Need help ASAP ......

ZanzabumX [31]

Answer:

a= 74

c= 10

d= 25

e= 10

f=16

g= 90

h= 24

j= 26

k= 154

m= 70

n= 170

p= 156

r= 154

s= 129

t= 148

v= 55

w= 41

x= 55

y= 24

z= 106

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help me please I don’t know what the answer is

Anon25 [30]

I believe that B) m<3 would need to double. Since m<6 and m<3 are corresponding angles, they are always equal. So if 6 doubles, 3 needs to as well in order to be equal.

5 0

3 years ago