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bulgar [2K]
2 years ago
13

The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a

binomial random variable. Assume that its probability will be approximated using the normal distribution. Describe the area under the normal curve that will be computed in order to determine the probability that more than Americans support the bill.
Mathematics
1 answer:
GalinKa [24]2 years ago
5 0

Answer:

Right of X = 635.5

Step-by-step explanation:

By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.

According to the rule of continuity;

P(X ≤ k) becomes  P( X ≤ K + 0.5)

P(X < K) becomes P(X < K - 0.5)

P(X ≥ K) becomes P(X ≥ K - 0.5)

P(X > K) becomes P(X > K + 0.5)

P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)

From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.

Then we use the > sign.

∴

P(X > K ) becomes P(X > K + 0.5)

P(X > 635) becomes P(X > 635 + 0.5)

⇒ P(X > 635.5) tot the right.

Right of X = 635.5

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To simplify5(2x-7) use distributive property
sveta [45]

Answer:

10×-35

Step-by-step explanation:

5×2=10

5×7=35

So the answer is 10x-35

8 0
3 years ago
For the rhombus below, find the measure of angles 1,2,3 and 4.
Alexus [3.1K]

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

5 0
3 years ago
What is m∠S? Enter your answer in the box. ° An isosceles triangle with vertices labeled R, S, and T. Side R T is the base. Side
yulyashka [42]

Answer:

m<S = 45°

Step-by-step explanation:

The sum of the measures of the angles of a triangle equals 180 deg.

m<R + m<S + m<T = 180

3x + 2x + 3x = 180

8x = 180

x = 22.5

m<S = 2x = 2(22.5) = 45

5 0
3 years ago
What is the y intercept and slope??
tiny-mole [99]

Answer:

y = .5x+30

Step-by-step explanation:

m= \frac{y2-y1}{x2-x1}

<em>hope this helps, good luck :)</em>

8 0
2 years ago
Pretty easy math equation I think but I forgot how to solve it look at picture
GrogVix [38]
X = 32 because 100 / 4 is 25, which would make the numerator for x 32
7 0
2 years ago
Read 2 more answers
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