We use the z statistic:
z = (x – u) / s
But first let us calculate the standard deviation s,
sample x and mean u.
s = sqrt (n p q)
s = sqrt (112 * 0.77 * (1 – 0.77))
s = 4.45
x = 0.81 * 112 = 90.72
u = 0.77 * 112 = 86.24
So the z score is:
z = (90.72 – 86.24) / 4.45
z = 1.00
From the standard tables, the P value at z = 1.00 using
right tailed test is:
<span>P = 0.1587 = 15.87%</span>
Answer:
1. x=±4
2. t=±9
3. r=±10
4. x=±12
5. s=±5
Step-by-step explanation:
1. x^2 = 16
Taking square root on both sides
x=±4
2. t^2=81
Taking square root on both sides
t=±9
3. r^2-100=0
r=±10
4. x²-144=0
x²=144
Taking square root on both sides
x=±12
5. 2s²=50
s=±5 ..
1,2,4,5,10,20,25,50,100 are all the positive divisors of 100. However, rather than straight up multiplying them in random order, I will multiply the opposite ends with each other (100*1, 2*50, 4*25, 5*20) and then multiply 10.
100*1=100
2*50=100
4*25=100
5*20=100
100*100*100*100*10= 1,000,000,000
Answer: 1,000,000,000
12.857 days
Step-by-step explanation:
Since the number of days is passing the same for both Nick and Perry we can assign the unknown value (no. Of days) the same denotation of x
Therefore;
180 – 6x = 0 + 8x
180 = 8x + 6x
180 = 14x
X = 12.857
Learn More:
For more on calculating unknown values check out;
brainly.com/question/10578482
#LearnWithBrainly
Answer:
The dimensions of the rectangular prism is 5 inches by 7 inches by 8 inches. Volume of the rectangular prism is expressed as
Length of the base × width of the base × height of the prism.
Volume = 5×7×8 = 280 inches ^2
Each golf ball has the shape of a sphere. The volume of a sphere is expressed as
Volume of sphere = 4/3πr^3
The golf ball has a diameter of 1.7 inches. It means that the radius of the golf ball is 1.7/2 = 0.85
Volume of each golf ball = 4/3 × 3.14×0.85^3
= 2.57 inches^3
The number of golf balls that will fit into the compartment would be
Volume if compartment/ volume of each golf ball. It becomes
280/2.57 = 109 golf balls
Step-by-step explanation:
