Answer:
20 +/- $6.74
= ( $13.26, $26.74)
The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)
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.
x1-x2 +/- margin of error
x1-x2 +/- z(√(r1^2/n1 + r2^2/n2)
Given that;
Mean x1 = $200
x2 = $180
Standard deviation r1 = $22.50
r2 = $18.30
Number of samples n1 = 60
n2 = 40
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
$200-$180 +/-1.645(√(22.5^2/60 +18.3^2/40)
$20 +/- 6.744449847374
$20 +/- $6.74
= ( $13.26, $26.74)
The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)
Answer:
AB = 4 cm
Step-by-step explanation:
The tangent and secant are drawn from an external point to the circle.
Then the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant.
let AB = x, then
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However x > 0 ⇒ x = 4 ⇒ b = 4 CM
Answer:
Which sum or difference is equivalent to the following expression?
5 minus 3 x over 5
A. 1 + three-fifths
B. 1 + 3 x over 5
C. 1 – 3 x over 5 *My answer
D. 25 – 15x
I took the test and I got it right
Good evening ,
______
Answer:
It has one solution = -2.
___________________
Step-by-step explanation:
5y + 8 = −2 ⇔ 5y = -8 -2 = -10 ⇔ y = -10/5 ⇔ y = -2.
:)