Answer:
the answer is 25 degrees
Answer:
alpha = 25°
Step-by-step explanation:
The picture indicates a rectangle.
Alpha is in a straight corner of 90 °, so...
65 + alpha = 90
subtract 65 left and right of the = sign.
65 - 65 + alpha = 90 - 65
0 + alpha = 90 - 65
alpha = 25°
Answer:
$27.60
Step-by-step explanation:
23×1.2=27.60 is the answer
To calculate a 20% tip on a $23 check, multiply $23 by 0.20 to get the tip amount of $4.60. The total amount you should pay, including the tip, is $27.60.
To calculate a 20% tip on a $23 check, you need to multiply the total bill amount by the percentage of the tip, expressed as a decimal. 20% as a decimal is 0.20. So you simply multiply $23 by 0.20 to get the tip amount.
Here is the math:
So, if you want to leave a 20% tip on a $23 check, you should pay a total of $27.60.
#SPJ3
Answer:
The 90% confidence interval for the mean test score is between 77.29 and 85.71.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.064
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29
The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.
The 90% confidence interval for the mean test score is between 77.29 and 85.71.
Answer: f(3)=10
Step-by-step explanation:
In order to calculate f(3) you need to substitute 3 for x in function
f(x)=3x +1 :
f(3)=( 3x3) + 1
f(3)= 9+1
f(3)=10
Answer: 28 hours and 5 min
Step-by-step explanation:
So there are 60 min in hour so the fourmula would be 60x=1683 and when you solve you get 28.05