Answer:
0.6848
Step-by-step explanation:
Mean of \hat{p} = 0.453
Answer = 0.453
Standard deviation of \hat{p} :
= \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} = \sqrt{\frac{0.453(1-0.453)}{100}} = 0.0498
Answer = 0.0498
P(0.0453 - 0.05 < p < 0.0453 + 0.05)
On standardising,
= P(\frac{0.0453-0.05-0.0453}{0.0498} <Z<\frac{0.0453+0.05-0.0453}{0.0498})
= P(-1.0044 < Z < 1.0044) = 0.6848
Answer = 0.6848
Answer:
23.3333333 miles per hour
23 1/3 miles per hour
10.43093333333333 meters / second
Step-by-step explanation:
Take the distance and divide by the time to find the speed
70 miles / 3 hours
1 mile = 1609.34 meters
1 hours = 3600 seconds
70 miles /3 hours * 1 mile /1609.34 meters * 1 hours / 3600 seconds
10.43093333333333 meters / second
Answer:
x = - 2
y = 6
Step-by-step explanation:
The best way to do this is to put - 3x in for y in the second equation.
4x - 2(-3x) = - 20 Watch the signs. You have 2 minus signs.
4x - - 6x = -20 Change - - 6x to 6x
4x + 6x = - 20 Add
10x = - 20 Divide by 10
x = -20/10
x = - 2
============================
Find y
y = - 3x
y = -3 * -2
y = 6
Answer:
X=1.132589
Step-by-step explanation:
If im correct the answer would be x=1.132589
3
x2−1
−2(x+3)=
5
x+1
3
(x+1)(x−1)
+−2x−6=
5
x+1
Multiply all terms by (x+1)(x-1) and cancel:
3+(−2x−6)(x+1)(x−1)=5(x−1)
−2x3−6x2+2x+9=5x−5(Simplify both sides of the equation)
−2x3−6x2+2x+9−(5x−5)=5x−5−(5x−5)(Subtract 5x-5 from both sides)
−2x3−6x2−3x+14=0
(Use cubic formula)
x=1.132589
And dont forget to check your answer
