Answer:
5 5/6
Step-by-step explanation:
Change them into improper fractions. Multiply the denominator by the whole number and then add the numerator. Put that number over the denominator.
2 X 3 = 6 3 X 2 = 6
6 + 1 = 7 6 + 1 = 7
7/3 7/2
New expression: 7/3 + 7/2
Find a common denominator. Both denominators can go into 6.
14/6 + 21/6 = 35/6
Change this back into a mixed number by dividing.
Answer: 5 5/6
5500 ft.
1700. ft.
1600. ft.
5500. ft.
f = 2
Simplify both sides of the equation <span><span>1.25f</span>+2</span>=<span><span>−<span>2.75f</span></span>+<span>10
Add 2.75 to each side </span></span><span><span>4f</span>+2</span>=<span>10
Subtract 2 from both sides </span><span>4f</span>=<span>8
Divide each side by 4 </span>f=<span>2</span>
<span>
</span>
Answer:
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Step-by-step explanation:
We know mean u = 38 standard dev. s = 2
We want P ( 37 < x < 41)
so
P( (37 - 38) / 2 < Z) = P(-0.5 < Z)
P( Z < (41 - 38)/2 ) = P( Z < 1.5)
Find P(Z < -0.5) = 0.3085
Find P(Z > 1.5) = 0.0668
so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)
P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668
P(-0.5 < Z < 1.5) = 0.6247
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is 
.
Step-by-step explanation:
It is provided that:
- Eric throws a biased coin 10 times. He gets 3 tails.
- Sue throw the same coin 50 times. She gets 20 tails.
The probability of tail in both cases is:
(1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
Thus, the probability that Aadi will get Tails is .
