Answer:
<u>always</u>
Step-by-step explanation:
For this hypothesis test:
<u>The Decision rule: </u> To reject the null hypothesis 
if the p-value is lesser than < the significance level.
At the level of significance 0.01, the null hypothesis is rejected.
So, p-value < 0.01 and this typically shows that p-value is < 0.05.
Therefore, it will <u>always</u> be rejected at ∝ = 0.05
Answer: Yes.
Step-by-step explanation: If a number ends in 0, 2, 4, 6, or 8, the number even number.
Answer:
m∠CBD=68°
Step-by-step explanation:
BA is perpendicular to BD, meaning they form a right angle (90°)
This means m∠CBD + m∠ABC=90, or they are supplementary.
We have expressions given for these angles, so
4x+52+8x-10=90
12x+42=90
12x=48
x=4
Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.
4(4)+52=68
m∠CBD is 68°.
Answer:
Option A
Step-by-step explanation:
<u>Given equation is</u>
=> 3y = 6x + 3
<u>In slope-intercept form, it becomes</u>
=> 3y = 3(2x+1)
=> y = 2x+1
So, Slope = m = 2
<u><em>Parallel lines have equal slope, So any line parallel to the above line would have its slope equal to 2</em></u>
=> Line parallel to 3y = 6x + 3 is y = 2x + 10
Let x be total amount of money
dress: 40% of x = 0.4x
left: x - 0.4x = 0.6x
shoes: 1/5x 0.6x = 0.12x
left: 0.6x - 0.12x = 0.48x
donate: $60
$132 left over
0.48x - 60 = 132
solve for x:
0.48 - 60 = 132
0.48x = 192
x = $400
