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gogolik [260]
3 years ago
6

Sketch the area under the standard normal curve over the indicated interval and find the specified area.

Mathematics
1 answer:
Fudgin [204]3 years ago
5 0

Answer:

a) The area of the right of z=0 is P(z >0) =0.5.

b) The area of the left of z=0 is P(z < 0) =0.5.

c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.

d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.

Step-by-step explanation:

Here are the graphs respectively.

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An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.
andrezito [222]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

3 0
4 years ago
Read 2 more answers
How much longer will it take a car traveling at an average speed for 2 miles per hour to make the trip from San francisco to New
lbvjy [14]

Answer:

1445.6 hours

Step-by-step explanation:

Distance between New York and San Francisco = 2902.8 miles (checked online)

Average speed of car = 2 mi/hr

Average speed of jet = 500 mi/hr

Time taken by Jet:

Time taken = Distance / speed

Time taken = 2902.8 / 500

Time taken = 5.8056 = 5.8 hours

Time taken by Car :

Time taken = Distance / speed

Time taken = 2902.8 / 2

Time taken = 5.8056 = 1451.4 hours

Time difference :

1451.4 - 5.8 = 1445.6 hours

7 0
3 years ago
Do Audience Ratings Differ Based on the Genre of the Movie? The dataset HollywoodMovies includes a quantitative variable on the
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

Hello!

(a) Which genre has the highest mean audience score? The lowest mean audience score?

1) Action \frac{}{X}_1= 58.63

2) Comedy \frac{}{X}_2= 59.11

3) Drama \frac{}{X} _3 = 72.10

4) Horror \frac{}{X}_4= 48.65

The lowest mean score is  \frac{}{X}_4= 48.65

The highest mean score is  \frac{}{X} _3 = 72.10

(b) Which genre has the highest median score? The lowest median score?

1) Action Me₁= 51.00

2) Comedy Me₂= 58.00

3) Drama Me₃= 72.00

4) Horror Me₄= 52.00

The Lowest median is Me₁= 51.00

The Highest median is Me₃= 72.00

(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?

Lowest or minimum scores:

1) Action 32.00

2) Comedy 31.00

3) Drama 46.00

4) Horror 25.00

The genre with the lowest score is "Comedy"

Highest or maximum scores:

1) Action 93.00

2) Comedy 93.00

3) Drama 91.00

4) Horror 78.00

There are two genres with the highest score "Action" and "Comedy"

(d) Which genre has the largest number of movies in that category?

The number of movies for each category corresponds to the sample sizes:

1) Action n₁= 32

2) Comedy n₂= 27

3) Drama n₃= 21

4) Horror n₄= 17

The largest number of movies sampled was for the genre "Action"

(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.

Comedy \frac{}{X}_C= 59.11

Horror \frac{}{X}_H= 48.65

\frac{}{X}_C -  \frac{}{X}_H= 59.11 - 48.65= 10.46

I hope this helps!

5 0
3 years ago
ILL GIVE YOU BRAINLIEST
kirza4 [7]

Answer:

D

Step-by-step explanation:

Brainliest?

8 0
3 years ago
Read 2 more answers
I’ve been trying to figure this out all day and still can’t seem to figure it out
Marat540 [252]

Answer:

(4x-1)(4x-1)

(x-6)(x+5)

(3x-7)(3x+7)

(3x-1)(x+6)

Step-by-step explanation:

yes

3 0
3 years ago
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