<span>-6x - 2 = 40
-6x = 42
x = -7
..................</span>
Answer:
2 * sqrt(61)
Step-by-step explanation:
a = 10
b = 12
c = ?
c^2 = a^2 + b^2
c^2 = 10^2 + 12^2
c^2 = 100 + 144
c^2 = 244
c^2 = 4 * 61
sqrt(c^2) = sqrt(4) * sqrt(61)
c = 2 * sqrt(61)
Answer:
point, 21 along the x-axis and 115 along the y-axis
Step-by-step explanation:
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Get the given data values
STEP 2: Write the formula for calculating the coefficient
STEP 3
: Calculate the correlation coefficient
Using the calculator,
Hence, the value of r is 0.791
Answer:
90% confidence interval -> {0.4529, 0.5871}
Step-by-step explanation:
<u>Check conditions for a 1-proportion z-interval:</u>
np>10 -> 150(0.52)>10 -> 78>10 √
n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √
Random sample √
n>30 √
For a 90% confidence interval, the critical value is z=1.645
The formula for a confidence interval is:
CI = p ± z√[p(1-p)/n]
<u>Given:</u>
p = 78/150 = 0.52
n = 150
z = 1.645
Therefore, the 90% confidence interval is:
CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}
Context: We are 90% confident that the true proportion of all voters who
plan to vote for the incumbent candidate is contained within the interval
