Answer: 4 • (2x - 7) • (x + 3)
Step-by-step explanation:
(4x+12)(2x-7)
8x²-28x+24x-84
8x²-4x-84
460 < 2x + 10 and 2x + 10 < 660
Solve x in each equation:
Rewrite so X is on the left side:
2x +10 >460
Subtract 10 from each side:
2x > 450
Divide both sides by 2:
x > 450 /2
x > 225
2x +10 <660
Subtract 10 from both sides:
2x < 650
Divide both sides by 2:
x < 650 / 2
x < 325
Combine the answer: 225 < x < 325
This means her carb intake needs to be more than 225 and less than 325 grams.
Answer: (13.4996, 32.5004)
Step-by-step explanation:
The confidence interval for mean difference is given by :-
,
where 
= sample mean difference .
= critical t value (two-tailed)
SE= Standard error.
Given : 
SE= 4.2
Now, the confidence interval for mean difference will be :-
Hence, the required confidence interval : (13.4996, 32.5004)
The one day pay is $106.25 rounded to the nearest hundredth.
<u>Step-by-step explanation:</u>
<u>From the table shown :</u>
- The timing shown in the morning is from 8:00 to 12:15
- The number of hours worked in the morning = 4 hours 15 minutes.
It is given that, the pay is $12.5 per hour.
Therefore, the pay earned in the morning = No.of hours × pay per hour.
⇒ 4 hours × 12.5 = $50
⇒ (15 mins / 60 mins) × 12.5 = $3.125
⇒ 50+3.125
⇒ 53.125
- The timing shown in the afternoon is from 8:00 to 12:15
- The number of hours worked in the morning = 4 hours 15 minutes.
Therefore, the pay earned in the afternoon = No.of hours × pay per hour.
⇒ 4 hours × 12.5 = $50
⇒ (15 mins / 60 mins) × 12.5 = $3.125
⇒ 50+3.125
⇒ 53.125
The pay for 1 day = pay earned in the morning section + pay earned in the afternoon section.
⇒ 53.125 + 53.125
⇒ 106.25
∴ The one day pay is $106.25 rounded to the nearest hundredth.
