Answer:
The value of y is: 7
Step-by-step explanation:
The figure of the rectangle ABCD is attached to the answer.
We are given that Parallelogram ABCD is a rectangle.
AC=6y−1
BD=4y+13
Diagonal BD and AC intersect each other at a point labeled as X.
Also we know that: The two diagonals of a rectangle are equal in length and bisect each other.
i.e. length of AC=BD
Hence 6y-1=4y+13
⇒ 6y-4y=13+1
⇒ 2y=14
⇒ y=7
Hence, AC=6×7-1=42-1=41
BD=4×7+13=41
Hence, the value of y is 7.
B it’s b it’s 1,5 I just took it it’s be
we are given
Firstly , we will multiply both sides by 5
now, we can simplify it
now, we can solve for n
.............Answer
6(2k-3) is the answer to this problem.
make a distributive
take the 6 out of the equation and u have remaining 2k-3. 6(2k-3)
Answer:
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
Critical value at 90% confidence = 1.645
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $79.20
Standard deviation r = $10.41
Number of samples n = 14
Confidence interval = 90%
Using the z table;
The critical value that should be used in constructing the confidence interval.
z(α=0.05) = 1.645
Critical value at 90% confidence z = 1.645
Substituting the values we have;
$79.20+/-1.645($10.42/√14)
$79.20+/-1.645($2.782189528308)
$79.20+/-$4.576701774067
$79.20+/-$4.577
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
