X + (x + 1) = 7
2x + 1 (-1) = 7 (-1)
2x = 6
2x/2 = 6/2
x = 3
x +1 = 3 + 1
x + 1 = 4
The two integers are 3, 4
hope this helps
Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For the men,
x = 318
n1 = 520
p1 = 318/520 = 0.61
For the women
x = 379
n2 = 460
p2 = 379/460 = 0.82
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.61(1 - 0.61)/520 + 0.82(1 - 0.82)/460]
= 1.96 × √0.0004575 + 0.00032086957)
= 0.055
Confidence interval = 0.61 - 0.82 ± 0.055
= - 0.21 ± 0.055
Answer:
English time + Math Time = 6 7/8 + 1 4/8 = 7 7/8+4/8 = 8 3/8
8 3/8 - Science time = difference = 8 3/8- 3 1/6 = 5 5/24
She spent 5 5/24 days more on her English and Math test than Science
Step-by-step explanation:
Answer:
$51.70 is the original price
Step-by-step explanation:
Step 1:
Turn 40% into a decimal which makes it 0.40
ex. 50% would be 0.50, 5% would be 0.05 etc.
Step 2:
Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price
x - 0.40x = 31.02 this is basically 1x - 0.40x = 31.02 so,
Solving the left side of our equation gives us 1x - 0.40x = 0.60x
so now you have: 0.60x = 31.02
Step 3:
Divide both sides by 0.60 which gets x by itself and gives us the original price which is $51.70
Hello
1 km = 1000 m
12 km = 12,000 m
Each day, she runs 10 * 400 m = 4000 m
12,000 m / 4000 m = 3
It will take 3 days.
Have a nice day
