Suppose you receive a shipment of 29 engines, two of which are defective. What is the probability of picking a sample of 4 engines with two bad engines in it? (Round approximations to the nearest thousandth.)

Answer:

Step-by-step explanation:

Answer:

Time = 1.45152 seconds

Step-by-step explanation:

1 foot = 0.000189 mile

300 ft = 300*0.000189

300 ft = 0.0567 miles

492 ft = 492*0.000189

492 ft = 0.092988 miles

Distance left to be covered by the train

= 0.092988-0.0567

= 0.036288 miles

Speed= 90mph

Time taken = distance/speed

Time taken= 0.036288/90

Time = 4.032*10^-4 hour

Time = 4.032*10^-4*60*60

Time = 1.45152 seconds

Answer:

Step-by-step explanation:

1,3,5

Discrete Math

To prove that not every finite poset admits an embedding into the ordered set of triples of real numbers as in example 2.1.1, we need to find a finite poset that cannot be embedded into the ordered set of triples of real numbers. One such example is the poset consisting of four elements a, b, c, and d with the following relations: a < b, a < c, and b < d, c < d. This poset is shown below:
```
d
/ \
b   c
\ /
 a
```
This poset cannot be embedded into the ordered set of triples of real numbers because there is no way to assign real numbers to the elements a, b, c, and d such that the relations a < b, a < c, and b < d, c < d are preserved. If we try to assign real numbers to the elements in the form of triples (x, y, z), we will find that there is no way to satisfy all of the relations at the same time. For example, if we assign (1, 1, 1) to a, (2, 2, 2) to b, (3, 3, 3) to c, and (4, 4, 4) to d, then the relations a < b and a < c are satisfied, but the relations b < d and c < d are not satisfied. Similarly, if we assign (1, 1, 1) to a, (2, 2, 2) to b, (2, 2, 3) to c, and (3, 3, 3) to d, then the relations a < b, a < c, and b < d are satisfied, but the relation c < d is not satisfied. Therefore, we can conclude that not every finite poset admits an embedding into the ordered set of triples of real numbers as in example 2.1.1.

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Step-by-step explanation:

Using the Empirical Rule, the correct option regarding the skewness of the distribution is given as follows:

(A) No, the distribution is skewed to the right.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:

In the context of this problem, the mean and the standard deviation are given as follows:

A huge percentage is within one standard deviation of the mean, and the distribution is not symmetric, hence it is not normal.

Since most values are at the lower bounds of the histogram, the distribution is right skewed and option a is correct.

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The number of ways which he can choose 5 courses if more than 3 must be humanities is; 8 ways.

According to the question;

If the condition requires that he chooses more than 3 humanities courses, it follows that;

On this note, the number of ways he can choose the required 5 courses is; 8 ways.

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Answer:

4:50 PM

Step-by-step explanation:

I hope it helps you

Answer:

(4,0)

Step-by-step explanation:

Answer:

I have made it in above picture

hope it helps

Answer:

322.19

Step-by-step explanation:

RECTANGLE AREA =L × B

=12 × 8

AREA OF CIRCLES= 4(1/2×PIE×6×6)

TOTAL AREA= 12 × 8+ 4(1/2×PIE×6×6)

=322

HOPE IT HELPSS!!

Answer:

E

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

Consider the triangle on the left

3rd angle = 180° - 60° - 90° = 180° - 150° = 30°

the 3rd angle of the triangle on the left = 30° ( vertically opposite angle ), so

∠ 1 = 180° - 30° - 65° = 180° - 95° = 85°

The solution for k in the equation 10 - 10|-8k + 4| = 10, expressed in set notation, is {1/2}.

1. Start with the equation: 10 - 10|-8k + 4| = 10.

2. Simplify the expression inside the absolute value brackets: -8k + 4.

3. Remove the absolute value brackets by considering two cases:

  Case 1: -8k + 4 ≥ 0 (positive case):

    -8k + 4 = -(-8k + 4)  [Removing the absolute value]

    -8k + 4 = 8k - 4     [Distributive property]

    -8k - 8k = -4 + 4    [Group like terms]

    -16k = 0             [Combine like terms]

    k = 0               [Divide both sides by -16]

  Case 2: -8k + 4 < 0 (negative case):

    -8k + 4 = -(-8k + 4)  [Removing the absolute value and changing the sign]

    -8k + 4 = -8k + 4     [Simplifying the expression]

    0 = 0                [True statement]

4. Combine the solutions from both cases: {0}.

5. Check if the solution satisfies the original equation:

  For k = 0: 10 - 10|-8(0) + 4| = 10

             10 - 10|4| = 10

             10 - 10(4) = 10

             10 - 40 = 10

             -30 = 10 [False statement]

6. Since k = 0 does not satisfy the equation, it is not a valid solution.

7. Therefore, the final solution expressed in set notation is {1/2}.

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Answer:

$739.55 if it is compounded

Step-by-step explanation:

470 x 1.12

ans x 1.12

ans x 1.12

ans x 1.12

Answer:

( ~ Sure, But i'm slow <3 ~ )

Is it....

x  =  6

Step-by-step explanation:

(( Sorry if i got it wrong- im Dumb. <3 ))

(( But here's a nice picture for u. ^^ ))

Answer: x = 6

Step-by-step explanation: 2x-5=7

                                                 +5 +5

                                              2x = 12                                                                   divide by 2 on both sides        

                                                 x = 6

Probability P= 0.80 = 8/10

what is probability of 8 defective

Then P = 8/10•10/8 = 1

For 100 chips, probability of 80 defective

P = 8/10• 100/800= 1

In both cases, probability is 1, or 100% sure.

Answer:

The answer is $2.52.

Step-by-step explanation:

56 x .045= $2.52

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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Answer:

...............................

...............................

...............................

^ this is all 31. and you have three groups. so now you have the array you want.

Answer:

draw 31 dots on one side and add 10 dots on the other

Step-by-step explanation:

like this

................................

................................

................................

(this might be 32 so count before answering)

Answer:

It is an acute angle

Step-by-step explanation:

You can tell by looking at it that it is less than 90 degrees, making it an acute angle.

Answer:

4, 9, x, 37

first difference:

5, x-9, 37-x

2nd difference

x-14, 37-x - (x-9)

x-14, 46-2x

To be a quadratic sequence, the 2nd differences must all be the same, so

x-14 = 46-2x

3x = 60

x = 20

so our terms are 4, 9, 20, 37

Step-by-step explanation:

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

=============================================

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

The equation for revenue earned from being opened for x hours will be y=150x-50 so it is absolutely correct.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given,

$100 for 1 hour

So,

x = 1 and y = 100

And,

$400 for 3 hour

So,

x = 3 and y = 400

Now the slope of the linear equation is given by

m = difference in ys coordinate / difference in xs coordinate  

m = (400 - 300)/(3-1) = 150

So equation become

y = 150x + b

Now put (3,400) to find out b

400 = 150(3) + b

b = -50

So, equation

y = 150x - 50

Hence " The equation for revenue earned from being opened for x hours will be y=150x-50".

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The radius of the circle that has an area of 380 square inches is calculated as: 11 inches.

The radius of a circle is half of the diameter. It connects from the center of the circle to any point on the circumference on the circle.

We are given the following information about a circle:

Area of the circle = 380 square inches

To find the radius of the circle, recall the formula of the area of a circle which is:

area = πr², where r is the radius, π = 3.14

Therefore:

380 = πr²

380 = 3.14 * r²

380/3.14 = r²

r² = 121.01

r = √121.01

r = 11 inches.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

  D C E A B

Step-by-step explanation:

The attachment shows the construction. Seeing this, it is a matter of logic. A point can't be placed until there is something to place it on. An arc can't be drawn until there is a center for it. The sequence must be ...

Answer:

To determine if (0,3) is a solution to y>2, we need to check if y is greater than 2 when x=0 and y=3. Since 3 is greater than 2, the point (0,3) satisfies the inequality y>2.

To graph the inequality y>2, we need to shade the region above the horizontal line y=2. The line y=2 is a solid line since it includes the points where y=2, but the region above the line is shaded with a dashed line since it does not include the points where y=2.

Here is a description of the graph:

Draw a horizontal line passing through the point (0,2).

Shade the region above the line with a dashed line.

The graph visually represents all the points that satisfy the inequality y>2. Since the point (0,3) is above the line, it is part of the shaded region and satisfies the inequality.

Answer: i think it's 942,480

Step-by-step explanation:

i just multiplied all of the numbers but i'm probably wrong srry

Answer:

7986m^2

Step-by-step explanation:

140-102=38

area of triangle:

(38*66)/2=1254m^2

area of rectangle:

66*102=6732m^2

total area:

1254+6732=7986m^2

Answer:

yes, The result is the same

Step-by-step explanation:

-3(5)=-15

5(-3)=-15

Answer:

They are same (equal)

Step-by-step explanation:

-3 multiplied with 5 is equal to -15.

5 multiplied with -3 is also equal to -15

so these two expressions are same when multiplied because the products are equal to one another.

The area of the composite shape in the image given is calculated as: 316 yd²

To find the area of a composite shape, find the area of each of the shape that makes up the figure, then add their areas together.

The area of the composite shape = area of big rectangle + area of small rectangle + area of big triangle + area of small triangle

Area of big rectangle = (length)(width) = (5 + 4)(8) = 72 yd²

Area of small rectangle = (length)(width) = (5)(4) = 20 yd²

Area of big triangle = 1/2(base)(height) = 1/2(12)(4+5+4+7) = 120 yd²

Area of small triangle = 1/2(base)(height) = 1/2(8+5)(16) = 104 yd²

The area of the composite shape = 72 + 20 + 120 + 104 = 316 yd²

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