Answer:
60 cm²
Step-by-step explanation:
base = 10
Height = √13² - 5² = √144 = 12
area = 1/2BH = 1/2 * 10 * 12 = 60
Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated
Each hiker will receive 6 ounces each.
Answer:
1) y=(-1/4)x+(11/4)
2) y=(4)x-33
3) y=(2/3)x-11/3
4) y=(5)x-2
5) y=(3)x-7
6) y=(-1/4)x+(6)
Step-by-step explanation:
1) y=mx+b 3=(-1/4)(-1)+b b= 11/4
2) y=mx+b -5=(4)(7)+b b= -33
3) y=mx+b -5=(2/3)(-2)+b b= -11/3
4) y=mx+b 3=(5)(1)+b b= -2
5) y=mx+b -1=(-3)(-2)+b b= -7
6) y=mx+b 7=(1/4)(4)+b b= 6