Answer:
<u>The correct answer is A. -1.69</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mean of the popping time of the kernels in a brand of microwave popcorn = 150 seconds
Standard deviation of the popping time of the kernels in a brand of microwave popcorn = 13 seconds
Time that first kernel pops = 128 seconds
2. What is the z-score of this kernel? Round your answer to two decimal places.
z-score = (Time that first kernel pops - Mean of the popping time)/Standard deviation of the popping time
Replacing with the real values, we have:
z-score = (128 - 150)/13
z-score = -22/13
<u>z-score = - 1.69</u>
<u>The correct answer is A. -1.69</u>
Answer:
$72
Step-by-step explanation:
5 gallons = $18
x 4 x 4
20 gallons = 72 dollars
Answer:
D
Step-by-step explanation:
The number of tickets purchased is 6
Let t represent the total amount of tickets bought
Total tickets bought = $32.50 x t = $32.50t
Total convenience charge = $3.30 x t = $3.30t
Total processing charge = $5.90
Total cost of purchasing t tickets = $32.50t + $3.30t + $5.90
= $35.80t + $5.90
$220.70 = $35.80t + $5.90
combine similar terms
$220.70 - $5.90 = $35.80t
214.80 = $35.80t
Divide both sides of the equation by t
t = 6 tickets
A similar question was solved here: brainly.com/question/20670631?referrer=searchResults
Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is <em>isosceles, </em>which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!