I have included a screenshot of the entire question along with its accompanying diagram.
Answer:∠1 = 163°
Explanation:1- finding angle 2:Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°
2- finding angle 1:Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°
I hope this clarifies things!:)
Answer:
C. The mean daily salary is not above $350 per day
Step-by-step explanation:
The calculation is displayed below:
Y = a + bX
where,
Y = earnings of a randomly chosen agent
a = $150
b = $50
X = number of loans closed
Now
E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)
= 3.94
Consequently,
E(y) = $150 + ($50 × 3.94)
= $347
therefore, option C is incorrect
Robert covered a distance of 292 miles.
He took 4 hours to complete this journey.
Next, let's convert miles to feet.
1 mile equals 5280 feet.
Thus, 292 miles in feet equals 292 * 5280 = 1541760 feet.
Now, converting 4 hours into seconds.
1 hour translates to 3600 seconds.
Therefore, 4 hours equals 3600 * 4 = 14400 seconds.
The question asks for speed in feet per second.
Thus,
is 107.067 feet per second.
Solution:
In Mr. Skinner's class, the count of students bringing lunch from home is 12 out of 20.
Fraction of students who brought lunch from home in Mr. Skinner's class=
For Ms. Cho's class, the number who brought lunch from home is 14 out of 21.
Fraction of students who brought lunch from home in Ms. Cho's class=
Siloni is utilizing two spinners with 15 equal sections to randomly select students from the classes and predict whether they brought lunch or will purchase it from the cafeteria.
Number of Equal sections in each Spinner=15
To visualize the students from Mr. Skinner's class who brought lunch using a Spinner with 15 equal sections =
For Ms. Cho's class, using a Spinner with 15 equal sections =
Mr. Skinner's Class +1 = Ms. Cho's Class
This means that the spinner for Ms. Cho's class will include one additional section representing students who brought lunch.
Option A signifies that one additional section on Mr. Skinner's spinner represents students who brought lunch, reflecting Ms. Cho's class.
Response:
m(n) = 60000
Amount = 60000/n
Step-by-step breakdown:
Provided
Budget = 60000
Solving part (a) as a function mn
To achieve this, simply substitute m(n) for the budget amount.
This results in;
m(n) = 60000
Solving part (b) for the amount each committee is allocated.
Given that the budget will be evenly split.
Amount = m(n)/n
Replace m(n) with 60000
Amount = 60000/n
