A business office orders paper supplies from one of three vendors, V1, V2, or V3. Orders are to be placed on two successive days, one order per day. Thus, V2V3 might denote that vendor V2 gets the order on the first day and vendor V3 gets the order on the second day.

Required:
a List the sample points in this experiment of ordering paper on two successive days.
b Assume the vendors are selected at random each day and assign a probability to each sample point.
c Let A denote the event that the same vendor gets both orders and B the event that V2 gets at least one order. Find P( A), P( B), P( A U B), and P( A ∩ B) by summing the probabilities of the sample points in these events.

Answer:

a= 2/5

b= -3/5

Step-by-step explanation:

We need to multiply the numerator and denominator by -i (conjugate) to cancel out i in the denominator

[tex]\frac{(3+2i)(-i)}{5i(-i)}[/tex]

This simplifies to:

[tex]\frac{-3i+-2i^{2} }{-5i^{2} }[/tex]

This further simplifies to:

[tex]\frac{-3i +2}{5}[/tex]

Can be rewritten as:

[tex]\frac{2}{5} +-\frac{3}{5} i[/tex]

a = 2/5

b = -3/5

Answer:

Lower class Limit: 20,25,30,35,40,45,50

Upper class limit: 24,29,34,39,44,49,54

Class width: 4

Class Midpoints : 22,27,32,37,42,47,52

Class Boundries : 19.5,24.5,29.5,34,5,39.5,44.5,49.5,54.5

Total Individuals: 93

Step-by-step explanation:

Lower class limit is the lowest value of a class e.g in the first class, the lowest value is 20. Similarly find lower class limit of othere classes.

Upper class limit is the highest value of a class e.g in the first class, the highest value is 24. Similarly find upper class limit of othere classes.

Class width is the difference between highest and lowest value of a class e.g 24-20=4

Class Midpoints can be found by adding lowest and highest value of a class and dividing it by 2 e.g (20+24)/2 = 22

Class boundaries are the halfway point which seperates the classes e.g for first classes, clasee boundry is (19.5,24.5)

Total individuals are founf by adding all the frequencies.

Answer:

150 miles

Step-by-step explanation:

If the distance between Seattle and Boise is 400 miles and the image illustrates 4", then there must be a proportionate between the two values. Therefore, if the distance between Seattle and Portland is 1.5", then the real distance must be 150 miles.

Answer:

0.2

Step-by-step explanation:

1/0.2 = 5

10-5 = 5

1/a = 5

a = 1/5

a = 0.2

Answer:1/5 or 0.2

Step-by-step explanation:

1/a+1/0.2=10

1/a+1/2/10=10

1/a=10/2=10

1/a+5=10

1/a=10-5

1/a=5

a=1/5 or 0.2

Answer:

The answer is (-2 , 1 ) or D on Edge

Step-by-step explanation:

The coordinates of vertex A of square ABCD is (-1, -2).

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane.

Given:

A(-5, -3), B(-3, -1), C(-1, -3) and D(-3, -5)

By using the rule

T(-4, -1)

So, the coordinate of Vertex A will be

A( -5 + 4, -3 + 1)

=A(-1, -2)

Learn more about coordinates here:

https://brainly.com/question/7869125

#SPJ2

Answer:

work is shown and pictured

Answer:

41

Step-by-step explanation:

f(3) = 2(3)^2 +5(x-2)

= 2(18)+ 5

= 41

Answer:

Step-by-step explanation:

p(x)=2x^2

q(x)=x-3

(p•q)(x)=2(x-3)^2

2(x^2-6x+9)

2x^2-12x+18

Answer:

S ≈ 9.8

Step-by-step explanation:

Finding central angle of circle A first

S=r∅

6.5 = (4)∅

Central angle = 6.5/4

C A = 1.63(in radians)

Now finding Arc EF

S = r∅

S = (6)(1.63)

S = 9.75

S ≈ 9.8

Answer:

22 m

Step-by-step explanation:

Total distance travelled by marble while falling down = height above surface of lake + depth of lake = 15 + 7 = 22 m

Answer:

No, the events are not mutually exclusive because they share the common outcomes of the student working and playing volleyball on certain days.

Step-by-step explanation:

A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B)=0.

In this case, A and B have outcomes in common since the student both works and plays volleyball on Tuesdays and Thursdays. Thus, the events are not mutually exclusive.  

You have two numbers to work with 7 and 5.

To keep the ratios the same using different numbers they would have to increase or decrease by the same multiple.

The answers would be 5:12, 7:12 and 6:7 do not represent a ratio in the fridge.

Answer:

  see below

Step-by-step explanation:

In my opinion, Antoinette should make use of a graphing calculator to find the solution. (second attachment)

__

Slope-intercept form can be useful for graphing, so it often works well to start with equations in that form. If that is Antoinette's strategy, she should rewrite the first equation to that form. The second equation is already in slope-intercept form.

In doing that rewrite, she will want to get the y-term on one side of the equal sign by itself. She can do that by subtracting 2x from the first equation:

  -7y = -2x +56

As a final step in her rewrite, she would divide by -7 to get ...

  y = 2/7x +56

This 2nd equation has a positive slope of 2/7. The slope of the second equation is similarly the x-coefficient, -2.5. Neither is 4 and they have different signs.

The appropriate answer choices are shown checked below.

Answer:

B and D

Step-by-step explanation:

I got it right m8. Good day

Answer:

Graph D

Step-by-step explanation:

First, look at the x-intercepts (where the graph touches the x-axis): x= -1 and x= 3

This rules out Graph B and C which have x-intercepts at x= -3 and x= -1

Next, look at the y-intercept (where the graph touches the y-axis): y= -3

This rules out Graph A which has a y-intercept at y= 3

Answer:

[tex]-8(y+4) =(x-6)^{2}[/tex]  

Step-by-step explanation:

The standard form of a parabola is given by the following equation:

[tex](x-h)^{2} =4p(y-k)[/tex]

Where the focus is given by:

[tex]F(h,k+p)[/tex]

The vertex is:

[tex]V=(h,k)[/tex]

And the directrix is:

[tex]y-k+p=0[/tex]

Now, using the previous equations and the information provided by the problem, let's find the equation of the parabola.

If the focus is (-6,6):

[tex]F=(h,k+p)=(6,-6)[/tex]

Hence:

[tex]h=6\\\\k+p=-6\hspace{10}(1)[/tex]

And if the directrix is [tex]y=-2[/tex] :

[tex]-2-k+p=0\\\\k-p=-2\hspace{10}(2)[/tex]

Using (1) and (2) we can build a 2x2 system of equations:

[tex]k+p=-6\hspace{10}(1)\\k-p=-2\hspace{10}(2)[/tex]

Using elimination method:

(1)+(2)

[tex]k+p+k-p=-6+(-2)\\\\2k=-8\\\\k=-\frac{8}{2}=-4\hspace{10}(3)[/tex]

Replacing (3) into (1):

[tex]-4+p=-6\\\\p=-6+4\\\\p=-2[/tex]

Therefore:

[tex](x-6)^{2} =4(-2)(y-(-4)) \\\\(x-6)^{2} =-8(y+4)[/tex]

So, the correct answer is:

Option 3

Answer:

b. There's no statistically significant linear relationship between the number of miles driven and the maintenance cost

Step-by-step explanation:

The p-value for the slope estimate show us how strong is the certainty that there are a linear relationship between both variables. In this case, the p-value for the slopes shows if there is a significant relationship between the number of miles driven and the maintenance cost.

If we have a high p-value like 0.7 we can said that there is no certainty in the linear relationship. it means that there's no statistically significant linear relationship between the number of miles driven and the maintenance cost.

Answer:

3.67 units

Step-by-step explanation:

The central angle is at the point (0,0).

Then it's at the point (1,0)

Then it moved 210 degrees.

Let's bear in mind that we start moving the degree from it's current position.

So moving 210 degrees is moving 180 degrees plus 30 degrees.

Moving 180 degrees I like transforming linearly.

Now the location is at (-1,0)

But the distance covered will be

= 2πr*210/360

r = 1

= 2*3.142*1*(210/360)

= 6.144*0.5833333

= 3.67 units

Answer:

-$0.75

Step-by-step explanation:

For calculation of expected value first we need to find out the probability distribution for this raffle which is shown below:-

Amount                  Probability

500 - 1 = $499       1 ÷ 5,000

200 - 1 = $199        3 ÷ 5,000

10 - 1 = $9                5 ÷ 5,000

5 - 1 = $4                   20 ÷ 5,000

-$1                             5,000 - 29 ÷ 5,000 = 4,971 ÷ 5,000

Now, the expected value of raffle will be

[tex]= \$499 \times (\frac{1}{5,000}) + \$199 \times (\frac{3}{5,000}) + \$9 \times (\frac{5}{5,000}) + \$4 \times (\frac{20}{5,000}) - \$1 \times (\frac{4,971}{5,000})[/tex]

= 0.0998  + 0.1194  + 0.009  + 0.016  - 0.9942

= -$0.75

The expected value of this raffle per ticket is $ 0.25.

Given that five thousand tickets are sold at $ 1 each for a charity raffle, and tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $ 500, 3 prizes of $ 200, 5 prizes of $ 10, and 20 prizes of $ 5, to determine what is the expected value of this raffle if you buy 1 ticket, the following calculation must be performed:

Therefore, the expected value of this raffle per ticket is $ 0.25.

Learn more in https://brainly.com/question/22097128

Answer:

(0. 4)

(-2, 0)

Step-by-step explanation:

As per given graph,

Answer:

The answer of top prism is 262

and down prism is 478

The upper figure is triangular prism.

so, we use bh+2ls+lb formula

B=5

h=3

s=4

l=19

Now,

surface area of triangular prism = bh+2ls+lb

= 5×3+2×19×4+19×5

= 262

The down figure is rectangular prism.

so, we use 2lw+2lh+2hw

l=5

h=6

w=19

Now,

The area of rectangular prism = 2lw+2lh+2hw

= 2×5×19+2×19×6+2×5×6

= 478

Answer:

She returned 5 gifts.

Step-by-step explanation:

36 gifts is 60% = 0.6 of all the gifts that she received. How many presents are 100% = 1?

36 gifts - 0.6

x gifts - 1

0.6x = 36

x = 36/0.6

x = 60

She received 60 gifts.

She opened the rest of the gifts and found that 25% of them were the same present

The rest is 60 - 36 = 24 gifts.

25% is (1/4)*24 = 6 duplicate figts

She returned all but one of the duplicate gifts.

That is, she returned 6 - 1 = 5 gifts.

Answer:

When x = -1/4 and when x = -15/4

Step-by-step explanation:

The x intercept will be when f(x)=0, so

0 = 4|x+2| -7

7 = 4|x+2|

|x+2|=7/4 here you have to cases

case 1

x+2=7/4

x=7/4-2

x=-1/4 = -0.25

case 2

x+2 = -7/4

x = -2-7/4

x = -15/4 = -3.75

Answer:

$3,485.48

Step-by-step explanation:

For computing the money required at the end of the account term we need to apply the Future value formula i.e be to shown in the attachment below:

Given that,  

Present value = $3,000

Rate of interest = 3% ÷ 365 days  = 0.00821917

NPER = 5 years × 365 days  = 1,825

PMT = $0

The formula is shown below:

= FV(Rate;NPER;PMT;PV;type)

So, after applying the above formula

the amount of future value is $3,485.48

"we dont gaf abt no bii, we dont giveeaf abt no bii and if i was you i wouldnt kiss her on the lips"

Answer:  (7, 2)

Step-by-step explanation:

(x, y) → (x + 4, y - 1)

(3, 3) → (3 + 4, 3 - 1)

        =  (7, 2)

Answer:

To solve a polynomial inequality, we factor the polynomial into irreducible factors and find all the real _zeros_ polynomial. Then we find the intervals determined by the real _zeros and use test points in each interval to find the_ sign of the polynomial on that interval.

If P(x) = x(x+2)(x-1)

And P(x) ≥ 0

We see that P(x) ≥ 0 on the intervals (-2, 0) and (1, ∞).

Step-by-step explanation:

The complete question is attached to this solution

To solve inequality of a polynomial, we first obtain the solutions of the polynomial. The solutions of the polynomial are called the zeros of the polynomial.

If P(x) = x(x+2)(x-1)

The solutions of this polynomial, that is the zeros of this polynomial are 0, -2 and 1.

To now solve the inequality that arises when

P(x) ≥ 0

We redraw the table and examine the intervals

The intervals to be examined as obtained from the zeros include (-∞, -2), (-2, 0), (0, 1) and (1, ∞)

Sign of | x<-2 | -2<x<0 | 0<x<1 | x>1

x               | -ve | -ve | +ve | +ve

(x + 2)       | -ve | +ve | +ve | +ve

(x - 1)         | -ve | -ve | -ve | +ve

x(x+2)(x-1) | -ve | +ve | -ve | +ve

The intervals that satisfy the polynomial inequality P(x) = x(x+2)(x-1) ≥ 0 include

(-2, 0) and (1, ∞)

Hope this Helps!!!

Answer:

24

Step-by-step explanation:

Multiple (4)(2)= 8

-3(8) =24

Answer:

maybe is a

Step-by-step explanation:

Answer:

F(x) = 0.0027x^3 - 21X - 11,430

Step-by-step explanation:

Answer:

a) The probability that the mean printing speed of the sample is greater than 17.55 ppm = 0.4247

b) The probability that more than 48.6% of the sampled printers operate at the advertised speed = 0.4197

Step-by-step explanation:

The central limit theorem explains that for an independent random sample, the mean of the sampling distribution is approximately equal to the population mean and the standard deviation of the distribution of sample is given as

σₓ = (σ/√n)

where σ = population standard deviation

n = sample size

So,

Mean of the distribution of samples = population mean

μₓ = μ = 17.35 ppm

σₓ = (σ/√n) = (3.25/√10) = 1.028 ppm

a) The probability that the mean printing speed of the sample is greater than 17.55 ppm.

P(x > 17 55)

We first normalize 17.55 ppm

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (17.55 - 17.35)/1.028 = 0.19

To determine the required probability

P(x > 17.55) = P(z > 0.19)

We'll use data from the normal probability table for these probabilities

P(x > 17.55) = P(z > 0.19) = 1 - P(z ≤ 0.19)

= 1 - 0.57535 = 0.42465 = 0.4247

b) The probability that more than 48.6% of the sampled printers operate at the advertised speed

We first find the probability that one randomly selected printer operates at the advertised speed.

Mean = 17.35 ppm

Standard deviation = 3.25 ppm

Advertised speed = 18 ppm

Required probability = P(x ≥ 18)

We standardize 18 ppm

z = (x - μ)/σ = (18 - 17.35)/3.25 = 0.20

To determine the required probability

P(x ≥ 18) = P(z ≥ 0.20)

We'll use data from the normal probability table for these probabilities

P(x ≥ 18) = P(z ≥ 0.20) = 1 - P(z < 0.20)

= 1 - 0.57926 = 0.42074

48.6% of the sample = 48.6% × 10 = 4.86

Greater than 4.86 printers out of 10 includes 5 upwards.

Probability that one printer operates at advertised speed = 0.42074

Probability that one printer does not operate at advertised speed = 1 - 0.42074 = 0.57926

probability that more than 48.6% of the sampled printers operate at the advertised speed will be obtained using binomial distribution formula since a binomial experiment is one in which the probability of success doesn't change with every run or number of trials. It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 10

x = Number of successes required = greater than 4.86, that is, 5, 6, 7, 8, 9 and 10

p = probability of success = 0.42074

q = probability of failure = 0.57926

P(X > 4.86) = P(X ≥ 5) = P(X=5) + P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10) = 0.4196798909 = 0.4197

Hope this Helps!!!

Answer:

2) Strong Negative Correlation

Step-by-step explanation:

With the value of r we have both the information about the sign of the relationship and the strength of this relationship.

As the value of r is negative, we can conclude that the correlation between x and y is negative.

Also, as the absolute value of r is close to 1, we can conclude that this relationship is strong.

The strength can also be seen in the value of r2, which is also close to 1, but this value does not give information about the sign.

The value of the slope a, being negative, can also tell us that the relation between x and y is a negative correlation.