Answer:
0.25
Step-by-step explanation:
Givens
orange: 75
Blue: 62
Green: 52
Red: x
Total: 252
Equation
75 + 62 + 52 + x = 252 Collect the like terms on the left.
Solution
189 + x = 252 Subtract 189 from both sides
x = 252 - 189
x = 63 Red Ones
Probability
P(Red) = 63/252
P(Red) = 0.25
Answer:

Step-by-step explanation:
<em>y=mx+b</em>
<em>b is where the line touches the y-intercept</em>
<em>mx is the slope...rise over run (positive slope) OR fall over crawl (negative slope)</em>
<em />
b= 8
mx= -3/2
y= -3/2x+8
Answer:
The p value would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance
Step-by-step explanation:
Information given
n=145 represent the random sample taken
X=89 represent the number of people who believed the supermarket brand was as good as the national brand
estimated proportion of people who believed the supermarket brand was as good as the national brand
is the value to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true proportion is less than 0.64, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance
Answer:
Step-by-step explanation:
h = -6
+20t + 4
I will use calculus, maybe that's not how you're supposed to do this
-12t +20 =0
12t = 20
t = 20 /12
t = 1 
t = 1 
there will be a max at 1.6666666666 seconds
-6*
+ 20 * 1.6666666666 +4
= 16.666666666666 + 33.333333333333 + 4
= - 16
+ 33
+ 4
= 20
feet max height ( not too high, for a rocket)
time of flight:
0 = -6
+20t + 4
use quadratic formula to find t
-20 +- sqrt [
- 4*(-6)*4 ] / 2*(-6)
-20 +- sqrt [400 + 96 ] / -12
-20 +- sqrt [496 ] / -12
-20 +- 22.27105 / -12
try the negative option 1st
-42.27105 / -12
3.522 seconds. time of flight
when will the rocket be at 12' ? :
12 = -6
+20t + 4
0 = -6
+20t -8
use quadratic formula again to find t
-20 +- sqrt [
- 4*(-6)*(-8) ] / 2*(-6)
-20 +- sqrt [ 400 - 192 ] / -12
-20 +- sqrt [208 ] / -12
-20 - 14.4222 / -12
-34.4222 / -12
2.8685 seconds ( on the way down)
and
-20 + 14.4222 / -12
-5.578 / - 12
0.4648 seconds ( on the way up )
Answer:
i dont know anyways
Step-by-step explanation: