Answer:
a: We can't determine this from the given information
b: 98%
Step-by-step explanation:
For a:
n = 42
The confidence interval has equal time on each side of µ, so we can add the two end points and divide them by 2 to find the middle of the interaval:
7.4 + 8.6 = 16
16/2 = 8
Now subtract 7.4 from 8 to find the distance from the mean to the end of the interval
8 - 7.4 = 0.6
So the sample mean, plus the calculated error was 0.6 minutes.
We don't have a way of calculating the sample mean with the given information. We could only find the sample standard deviation and the variance.
For b:
We have:
E = 0.6
s = 1.606
n = 42
See attached photo for the calculation of this value
The value is 2.421.
Using a sample size of 42, our degrees of freedom are 41. Use the t-distribution chart to see which level of confidence has 2.421 under it.
The level of confidence is: 98%
We need 41 degrees of freedom, but the chart has only 40, then 45. We can see that 40 has 2.423, and the values go down as the degrees of freedom go up, so 41 will correlate to 2.421
Answer:
The money in account after 15 months is $368.699
Step-by-step explanation:
Given as :
The Principal = $320
The rate of interest = 12 %
The time period = 15 months = 1 +
=
= 1.25
Amount = principal 
Or, Amount = $320 
Or, Amount = ($320) (1.152)
Or,Amount = $368.699
Hence the money in account after 15 months is $368.699 Answer
158 hot dogs will be prepared if 105 people show up
Step-by-step explanation:
14 people show up to make 21 hot dogs
We need to find how many hot dogs will be prepared if 105 people show up?
We will solve this problem using Unitary method
Solving:
14 people make hot dogs=21
1 person makes hot dogs = 21/14
105 people make hot dogs = 21/14*105
= 157.5 ≈ 158 hot dogs
So, 158 hot dogs will be prepared if 105 people show up
Keywords: Word Problems
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Let's find X. Since both equations are equal to y, they are equal to themselves.
-3x-3=-3; we just need to solve from here. -3x-3=-3; let's add 3 to both sides. -3x=0; this means that 0 is X.
Let's use a graph to check.
So, y is -3.
So, (0, -3) is when the two lines intersect and it's our solution.
Divide 110 by 10 to get a rate if 11 feet per second. Multiply 11 by 12 seconds to get 132 feet