Answer:
-7
Step-by-step explanation:
You divide -3 on both sides to get the variable by itself, so -3 divided by 21 is -7
Answer:
23/ 40 (0.57) yards of fabric
Step-by-step explanation:
Claire bought 9/10 of a yard of fabric to make her granddaughter a dress. She only used 3/4 of the fabric.
9/ 10 x 3 /4
9/10 x 3/4 = 27/ 40
1 - 27/40 = 40 -27
/40
Therefore, 23/ 40 (0.57) yards of fabric is used by Claire.
Answer:
If the confidence level is increased from 90% to 99% for an SRS of size n , the width of the confidence interval for the mean μ will <u>increase</u>.
Step-by-step explanation:
We have been given an incomplete statement. We are supposed to complete the given statement.
If the confidence level is increased from 90% to 99% for an SRS of size n , the width of the confidence interval for the mean μ will:
We know that when confidence level decreases from a value to a lower value, then the confidence interval for the mean decreases.
When confidence level increases from a value to a higher value, then the confidence interval for the mean increases.
When we will increase the confidence level from 90% to 99%, the width of the confidence interval for the mean will also increase, so it will become wider.
Therefore, the correct word for our given statement is increase.
Use the midpoint formula for the midpoint (xm, ym) between (x1,y1) and (x2,y2);
xm = (x1 +x2)/2
ym = (y1 +y2)/2
Because (x1,y1) = (5,8) and (x2,y2) = (11,6), therefore
xm = (x1 + x2)/2 = (5+11)2 =8
ym = (8+6)/2 = 7
The midpoint is (8,7).
Answer: a
Answer:
Harper is 17 and Cadence is 44.
Step-by-step explanation:
First, we can set up an equation to displays the sum of both ages.
Let x = Harper's age and y = Cadence's age
x+y=61
8 years ago, this means the sum will decrease by a total of 16 as we have to subtract 8 from both variables
The equation to represent 8 years ago is: x+y=45
Now we can write another equation to represent Cadence being 4 times older than Harper (8 years ago)
y=4x
We can substitute this back into the equation we had for the ages 8 years ago.
x+(4x) = 45
5x=45
x=9
Now, Harper's age 8 years ago is 9 years old. We add 8 to this number to determine that Harper is currently 17 years old.
We can insert this into the original equation to determine Cadence's age.
17+y=61
y=44
Thus, Cadence is currently 44 years old