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sergiy2304 [10]
3 years ago
10

A psychologist developed a new test of adult intelligence. The test was administered to 20 individuals, and the following data w

ere obtained.
104, 88, 121, 114, 107, 91, 95, 117, 109 ,105, 87, 93 ,134, 142, 122 ,95,115, 112 ,108, 108.

Construct a stem-and-leaf display for the data, using a leaf unit of 1.
Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

Stem        Leaf

8         |      7,8

9         |      1,3,5,5

10        |     4,5,7,8,8,9

11         |     2,4,5,7

12        |     1,2

13        |     4

14        |     2

Where 8|7 means 87 for example.

Step-by-step explanation:

For this case we have the following data:

104, 88, 121, 114, 107, 91, 95, 117, 109 ,105, 87, 93 ,134, 142, 122 ,95,115, 112 ,108, 108.

The first step is order this data set on increasing way and we got:

87, 88, 91, 93, 95, 95, 104, 105, 107, 108, 108, 109, 112, 114, 115, 117, 121, 122, 134, 142

And then we can create the stem leaf plot like this:

Stem        Leaf

8         |      7,8

9         |      1,3,5,5

10        |     4,5,7,8,8,9

11         |     2,4,5,7

12        |     1,2

13        |     4

14        |     2

Where 8|7 means 87 for example.

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For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills
Evgen [1.6K]

Answer:

<em>99.93%</em>

Step-by-step explanation:

<u>Probability of Independent Events</u>

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

P(0)=q^4=0.16^4=0.00065536

Thus, the probability that at least one of the systems detect the theft is

P(x\geq1)=1-P(0)=1-0.00065536=0.9993

That means a 99.93%

3 0
3 years ago
Y=1/4x−2y=−2x+3 help solve problem.
8_murik_8 [283]

Answer:

  (x, y) = (2 2/9, -1 4/9)

Step-by-step explanation:

Equate the values of y and solve for x.

  1/4x -2 = -2x +3

  (2 1/4)x = 5 . . . . . . . . add 2+2x to both sides

  x = 20/9 = 2 2/9 . . . multiply by 4/9

  y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation

  y = -1 4/9

The solution is x = 2 2/9, y = -1 4/9.

7 0
3 years ago
28 people are going to the movies; they have 3 vans and 1 car.
svetoff [14.1K]
28 people going.....3 vans and 1 car....8 people per van
if there is 8 people per van, and there is 3 vans....8 * 3 = 24 people take the vans......leaving 28 - 24 = 4 people taking the car <==
8 0
3 years ago
Read 2 more answers
Find the x-intercept of the line whose equation is 8x + 2y = 4.<br> 04<br> 02<br> 1/2
bezimeni [28]

Answer:

1/2

Step-by-step explanation:

The x-intercept is a point on the graph that is located on any point of x but must have a y-value of 0. To find the x-intercept, we must set y in the given equation equal to 0.

8x + 2y = 4

8x + 2(0) = 4

8x = 4

x = 4/8

x = 1/2

4 0
2 years ago
A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0
3 years ago
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