Answer:
Step-by-step explanation:
We are given that

Function f decreases from quadrant 2 to quadrant 1 and approaches y=0
It cut the y- axis at (0,6) and passing through the point (1,2).
Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.
It passing through the point (-1,2) and cut the y-axis at point (0,6).
Reflection across y- axis:
Rule of transformation is given by

Using the rule then we get

By using

Substitute x=-1

Substitute x=0

Therefore,
is true.
Answer:
Step-by-step explanation:
First calculate for the area of the trapezoid (the formula is (base + base / 2) x height):
60 cm + 90 cm = 150 cm
150 cm / 2 = 75 cm
75 cm x 30 cm = 2250 cm²
Now 1 cm² = 1 mL and 1000 mL = 1 L
2250 cm² = 2250 mL
2250 mL = 2.25 L
Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
Answer:
200
Step-by-step explanation:
Given Arithmetic sequence is: 26, 28, 30,...
First term a = 26
Common Difference d = 2
n = 88

Answer:
thw answer is -3/2 and in decimal form its -1.5
Step-by-step explanation:
hoped I helped:)