Answer:
x + 150 deg = 180deg (being co-interior angles)
:. x = 30 deg
2. y^2 + 7= 32 ( opposite sides of parallelogram are equal)
or, y^2 = 25
or y^2 = 5^2
: . y = 5
3. k= 2y^2 ( opposite sides of parallelogram are equal)
or, k = 2× 5^2
: . k = 50
9514 1404 393
Answer:
- 63 mph
- 3 donut holes per kid
- $0.70 per pound
- $2.25 per km
Step-by-step explanation:
In this context, "per" and "for" mean "divided by."
- 630 mi/(10 h) = 63 mi/h
- (24 dh)/(8 kid) = 3 dh/kid
- $3.50/(5 lb) = $0.70 /lb
- $32/(14 2/9 km) = $32/(128/9 km) = $(9/4)/km = $2.25 /km
Answer:
a. The data is skewed left
Step-by-step explanation:
Looking at the graph, the bars are noticeably much taller on the right side when compared to the left.
The mean is likely less than the median, if calculated.
The skewed side of the graph is opposite to what it looks like.
The probability that both parts are defective is 6/55
<u>Step-by-step explanation:</u>
Defective parts = 4
Total parts = 11
Probability of getting a defective part = 4/11
Probability of getting defective part 2nd time = 3/10
Total probability of getting defective part both the times = (4/11) (3/10)
= (12/110)
= (6/55)
The probability that both parts are defective is 6/55
22. The range of the arcsine function (sin⁻¹(x)) is [-π/2, π/2]. The function will return π/4 for arcsin(sin(3π/4)) = arcsin(1/√2).
The sine function does not pass the horizontal line test, so it has no inverse over its entire domain. The arcsine function is only the inverse of the sine function over a limited domain/range.
25. sin(cos(π/2)) = sin(0) = 0.
As with any nested function evaluation, you evaluate the inner function first.
... cos(π/2) = 0
Then you evaluate the outer function.
... sin(0) = 0
