Answer:
2a) $180
2b) $1440
Step-by-step explanation:
2a) Basically Samuel works for 6 hours a day and earns 7.50 per hour, so you have to do 7.50 x 6 to see how much he earns per day (which in this case is $45). You then have to multiply $45 to 4 since he earns $45 per day and works 4 days per week (which is $180).
2b) After finding out how much he earns per week ($180 from the previous question), you then have to multiply $180 by 8 as $180 is the amount he earns per week and since he works for 8 weeks you have to multiply $180 by 8 (the answer is then $1440).
sorry if I'm not making sense, i tried :) good luck!
Answer:
D. 54,900
Step-by-step explanation:
We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.
To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.
First of all, we will find z-score corresponding to probability 
using normal distribution table.
From normal distribution table, we get z-score corresponding is 
.
Now, we will use z-score formula to find sample score as:
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation
Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.
Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
7056. 1008 x 7 = 7056. 7056 / 441 = 16
Answer:
½
Step-by-step explanation:
the scale factor of dilation = 6/12 = ½
