Answer:
408
Step-by-step explanation:
You would set up a proportion of 1/12 = 34/x. You would do the butterfly method and get 1x=408. Then divide 408 by 1 to get 408.
Answer: $3,980
Step-by-step explanation:
As the question is asking for the amount that Genesis earned over the amount earned by David, to find the answer, subtract David's earnings from that of David.
= Genesis's earnings - David's earnings
= 72,832 - 68,852
= $3,980
I think the answer is 7/2. Which is also equal to 3.5 cookies. Because:
1/2 + 3/1
3/1 x2
1/2 + 6/2
= 7/2 = 3.5
Complete question is;
Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ ≠ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is x¯ = 17.6. The P-value is closest to:
a. 0.0668.
b. 0.0082.
c. 0.0164.
d. 0.1336
Answer:
Option D
Step-by-step explanation:
We are given;
Null hypothesis; H0: μ = 20
Alternative hypothesis; Ha: μ ≠ 20
Population Standard deviation; σ = 5
Sample size; n = 25
Sample mean; x¯ = 17.6
Let's find the z-score from the formula;
z = (x¯ - μ)/(σ/√n)
z = (17.6 - 20)/(5/√5)
z = - 1.073
From online p-value from z-score calculator attached, using z = -1.073; two tailed hypothesis; significance value of 0.05,we have;
The P-Value is 0.283271.
Looking at the given options, the closest to the p-value is option D
Answer:
y = -
x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x +
← is in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 
Using the point- slope form
with m = -
and (x₁, y₁ ) = (- 2, 4) , then
y - 4 = -
(x - (- 2) ) , that is
y - 4 = -
(x + 2) ← distribute
y - 4 = -
x - 3 ( add 4 to both sides )
y = -
x + 1 ← in slope- intercept form