Answer:
x=9.5
Step-by-step explanation:
x+2(x+1)=68-3(x+3)
x+2x+2=68-3x-9
3x+2=68=59-3x
6x=57
x=9.5
Answer:
m∠1 = 63
m∠2 = 49
m∠3 = 87
m∠4 = 44
Step-by-step explanation:
Angle 2 and 49 are similar
Angle 2 = 49
Angle 1 + 49 + 68 = 180
180 - 49 - 68 = Angle 1
180 - 49 - 68 = 63
Angle 1 = 63
Angle 3 + 93 = 180
180 - 93 = Angle 3
180 - 93 = 87
Angle 3 = 87
Angle 4 + 49 + 87 = 180
180 - 49 - 87 = Angle 4
180 - 49 - 87 = 44
Angle 4 = 44
Answer:
A sample size of 61 will produce a margin of error of 9% with 90% confidence level
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error of the confidence interval is:
For this problem, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of , so .
What sample size will produce a margin of error of 9% with 90% confidence level
This is n when M = 0.09. So
A sample size of 61 will produce a margin of error of 9% with 90% confidence level
Answer:
Step-by-step explanation:
At first,
Let start writing the squares of number 0 to 10,
0²=0
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
Now,
According to your question,
- The two numbers should be square numbers
- They should be greater than 1.
- Their sum should be 100.
Hence, your given conditions matches with the numbers 64 and 36.
Therefore, the numbers are 64 and 36.
- 64 and 36 are greater than 1.
- 64 is a square of 8 and 36 is the square of 6.
- 64+36=100
Answer:
The better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.
Step-by-step explanation:
To find the cost per unit in each case and then state which is the better buy, the following calculations must be performed:
6kg of potatoes for $ 2.45:
2.45 / 6 = 0.408
15 kg of potatoes for $ 5.9:
5.90 / 15 = 0.393
10 kg of potatoes for $ 3.92:
3.92 / 10 = 0.392
Thus, the better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.