Help with question number one please

Answer:

(a) [tex]P(Online\ Training) = 0.750[/tex]

(b) [tex]Pr = 0.169[/tex] --- Quality Division and Online Training

(c) [tex]P(A\ |\ B) = 0.686[/tex] --- Online Training given Sales Division

Step-by-step explanation:

Given

The two-way table

Solving (a): P(Online Training)

The total employee is:

[tex]Total = 136[/tex]

The employees for online training is:

[tex]Online\ Training = 102[/tex]

So, the probability is:

[tex]P(Online\ Training) = \frac{102}{136}[/tex]

[tex]P(Online\ Training) = 0.750[/tex]

Solving (b): P(Quality Division and Online Training)

The number of employees that choose quality Division and online training is 23

So, the probability is:

[tex]Pr = \frac{23}{136}[/tex]

[tex]Pr = 0.169[/tex]

Solving (c): P(Online Training | Sales Division)

This is calculated as:

Let:

[tex]A \to[/tex] Online training

[tex]B \to[/tex] Sales division

So, we have:

[tex]P(A\ |\ B) = \frac{n(A\ n\ B)}{n(B)}[/tex]

From the table:

[tex]n(A\ n\ B) =35[/tex]

[tex]n(B) = 16 + 35 = 51[/tex]

So, the probability is:

[tex]P(A\ |\ B) = \frac{35}{51}[/tex]

[tex]P(A\ |\ B) = 0.686[/tex]

Answer:

60/100

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

y-18=-3(x+2)

Step-by-step explanation:

The Slope-intercept form is -3x+12

Answer:

[tex]\frac{73,331}{75,516}\approx 97.11\%[/tex]

Step-by-step explanation:

The probability that she will find at least one student cheating is equal to the probability that she finds no students cheating subtracted from 1.

Each time she randomly chooses a student the probability she will catch a cheater is equal to the number of cheaters divided by the number of students.

Therefore, for the first student she chooses, there is a [tex]\frac{9}{35}[/tex] chance that the student chosen is a cheater and therefore a [tex]\frac{26}{35}[/tex] chance she does not catch a cheater. For the second student, there are only 34 students to choose from. If we stipulate that the first student chosen was not a cheater, then there is a [tex]\frac{9}{34}[/tex] chance she will catch a cheater and a [tex]\frac{25}{34}[/tex] chance she does not catch the cheater.

Therefore, the probability she does not catch a single cheater after randomly choosing ten students is equal to:

[tex]\frac{26}{35}\cdot \frac{25}{34}\cdot \frac{24}{33}\cdot \frac{23}{32}\cdot \frac{22}{31}\cdot \frac{21}{30}\cdot \frac{20}{29}\cdot \frac{19}{28}\cdot \frac{18}{27}\cdot \frac{17}{26}[/tex]

Subtract this from one to get the probability she finds at least one of the students cheating after randomly selecting nine students. Let event A occur when the professor finds at least one student cheating after randomly selecting ten students from a group of 35 students.

[tex]P(A)=1-\frac{26}{35}\cdot \frac{25}{34}\cdot \frac{24}{33}\cdot \frac{23}{32}\cdot \frac{22}{31}\cdot \frac{21}{30}\cdot \frac{20}{29}\cdot \frac{19}{28}\cdot \frac{18}{27}\cdot \frac{17}{26},\\\\P(A)=1-\frac{2,185}{75,516},\\\\P(A)=\boxed{\frac{73,331}{75,516}}\approx 0.97106573441\approx \boxed{97.11\%}[/tex]

Answer:

nose

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.

Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.

  AB ║ A'B' — True

  AD ≅ A'D' — True

_____

You can see these relationships in the attached figure.

Answer:

The mean and median number of apples in a bag are 21.71 and 22 respectively.

Step-by-step explanation:

The mean is the arithmetic mean of a set of numbers. In other words, the mean is the average value of all my data.

The mean is calculated by adding all the values ​​and dividing the sum by the total number of values. In this case:

[tex]Mean=\frac{23+19+26+17+21+24+22}{7}[/tex]

[tex]Mean=\frac{152}{7}[/tex]

Mean= 21.71

The median of a set of numbers is the average number in the set, that is, it is the value that occupies the central place of all the values.

The median can be calculated by putting the numbers in ascending order and then:

In this case:

Putting the numbers in ascending order: 17, 19, 21, 22, 23, 24, 26

Since the quantity is odd numbers, the median is the number in the center of that distribution. So Median= 22

The mean and median number of apples in a bag are 21.71 and 22 respectively.

Answer:

c. 54[tex]\pi[/tex] in.³

The volume of cylinder is 54[tex]\pi[/tex] in.³

Step-by-step explanation:

Given that :-

To Find :-

Solution:-

We use formula

Volume of cylinder = π × (radius)² × h

Volume of cylinder = π × ( 3)² × 6.

Volume of cylinder = π × 9 × 6.

Volume of cylinder = 54[tex]\pi[/tex] in.³

The formula we use,

→ Volume of cylinder = π × r² × h

It is given that,

→ Height (h) = 6 and radius (r) = 3.

Then we have to,

find the volume of the cylinder,

→ π × r² × h

→ π × 3² × 6

→ π × 9 × 6

→ 54π in.³

Thus, option (c) is the answer.

Answer:

Step-by-step explanation:

Set up the following proportion. x is the number of games you should win.

11/18 = x / 162  

11*162 / 18 = x

x = 99            You likely would be out of the playoffs with a number like this.

Answer:

I think the answer would be

y = 0.5x -8

tough this might be wrong?

Step-by-step explanation:

(2, 7) ( 4,6)

to find the gradient- mx

y2-y1/ x2 - x1

chose which would be 1/ 2

if I chose (2,7) as 1 then (4, 6) as 2

mx = 6- 7/ 4-2

= -0.5x

y = -0.5x + c

substitute

6 = -0.5(4) + c

6= -2+ c

c = -8

Answer:

i think its b

Step-by-step explanation:

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Answer:

  D. Logistic growth

Step-by-step explanation:

The logistic growth function models a situation where the rate of growth is jointly proportional to the population and to the difference between the population and the carrying capacity.

Attached is an example of such a function.

Answer & Step-by-step explanation:

Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)

w = 2h (twice the price)

t = h - 4 ($4 less)

3w + 2h + 5t = 136 (total purchasing and cost)

We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t

3(2h) + 2h + 5(h-4) = 136

Simplify

6h + 2h + 5h - 20 = 136

13h = 136 + 20

13h = 156

h = 156/13

h = $12

Using this information, we can solve for w and t

w = 2h

w = 2(12)

w = $24

And finally

t = h - 4

t = 12 - 4

t = $8

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Answer:

  = 53(20 +4)  or  =24(50 +3)   or  =(20 +4)(50 +3)

Step-by-step explanation:

Either number can be rewritten as a sum. Typically, the sum will be based on place value: 53 = 50 + 3, for example, as opposed to something like 53 = 26 +27.

The usual method of multiplication taught in grade school makes use of this sort of rewriting.

53 × 24 = 53 × (4 +20) = 53×4 +53×20 = 212 +1060 = 1272

__

Additional comment

We find this easier to multiply as 53(20 +4) than as 24(50 +3) because doubling (multiplying by 2) and doubling again (multiplying by 4) is generally easier than multiplying by 3 or 5.

In grade school, we did this digit by digit, so ...

  53×24 = (3 +50)(4 +20) = 3(4 +20) +50(4 +20) = 3×4 +3×20 +50×4 +50×20

  = 12 +60 +200 +1000 = 1272

Answer: x³+y³=180

Step-by-step explain:                                                                                            let's remember the formula                                                                                 x³+y³=(x+y)(x²-xy+y²) and also  x³+y³=(x+y)³-3xy(x+y)                                              then                                                                                      [tex]\displaystyle\boldsymbol{ x^3+y^3=\underbrace{(x+y)^3}_{6}-3\underbrace{xy}_{2}\underbrace{(x+y)}_6}=\\\\6^3-3\cdot 2\cdot 6=216-36=180[/tex]                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Answer:

Ask in English then I can help

Answer:

36

Step-by-step explanation:

Area of a triangle = (bh)/2

Where b = base length and h = height

Given base length: 18ft

Given height: 4ft

This being known let's define the variables

b = 18

h = 4

Now to find the area we simply plug in these values into the formula

Area = (18)(4)/2

Simplify multiplication 18 * 4 = 72

Area = 72/2

Simplify division

Area = 36

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Answer:

  they are not collinear

Step-by-step explanation:

A graph shows that a line through points A and C misses point B, so the points are not collinear.

__

If the points are collinear, then the slope of the segment between the first pair would be the same as the slope of the segment between the second pair.

  m = (y2 -y1)/(x2 -x1)

  m = (-18 -(-4))/(-3 -0) = -14/-3 = 14/3 . . . . slope of AB

__

  m = (6 -(-18))/(2 -(-3)) = 24/5 . . . . slope of BC ≠ slope of AB

The points are not collinear.

_____

Additional comment

With about the same amount of computational effort, you can find the area of the triangle bounded by the three points. If it is zero, then the points are collinear. Here, it is 1 square unit, so the points are not collinear.

Answer: I got 7120 seconds

Step-by-step explanation:

There's 178 seconds in the song (for more context, I just converted the 2 minutes into seconds and added it with 58) then I multiplied it by the total amount of times it played (in this case, 40)

Hope this helps

Answer:

B

Step-by-step explanation:

$3 per gallon

that is the procedure above

Answer:

x= 30 degrees

Step-by-step explanation:

This is an isosceles triangle as indicates by the lines on the sides.

Since the sides lengths are equal, the base angles are  equal

x= 30 degrees

Answer:

The answer is "[tex]1.54 \times 10^{-6}[/tex]".

Step-by-step explanation:

Calculating the probability of the cards that hand from a 52-card deck.

The aces are high or low in poker.

There are 13 cards in the bridge hand.

A royal flush (5 suit top cards) in poker.

There are 5 various poker hands with [tex]\binom{52}{5}[/tex].

There are four royal flushes, one in each suit.

[tex]P (royal\ flush) =\frac{4}{\binom{52}{5}}\\\\[/tex]

                         [tex]=\frac{4}{2598960}\approx 1.54 \times 10^{-6}[/tex]

Answer:

I think it is the last one.

Apply radical rule

= (10^1/2)3/4x

Apply exponent rule: (a^b)^c = a^bc

= 10^1/2 . 3/4x

Simplify: 1/2 . 3/4x:  3x/8

= 10^3x/8

The probability that the player will get at least 7 hits in the game is approximately 0.192, or 19.2%.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

To solve this problem, we need to use the binomial distribution formula. The binomial distribution is used when we have a fixed number of independent trials (in this case, 9 at bats), where each trial has only two possible outcomes (hit or no hit), and the probability of success (getting a hit) is constant across all trials (0.305 in this case).

Let X be the number of hits the player gets in the game. Then X follows a binomial distribution with parameters n=9 (number of trials) and p=0.305 (probability of success).

The probability of getting at least 7 hits is equal to the sum of the probabilities of getting exactly 7, 8, or 9 hits:

P(X ≥ 7) = P(X=7) + P(X=8) + P(X=9)

Using the binomial probability formula:

P(X=k) = C(n,k) * p^k * (1-p)^(n-k)

where C(n,k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

For k=7:

P(X=7) = C(9,7) * 0.305^7 * (1-0.305)^(9-7) = 0.154

For k=8:

P(X=8) = C(9,8) * 0.305^8 * (1-0.305)^(9-8) = 0.036

For k=9:

P(X=9) = C(9,9) * 0.305^9 * (1-0.305)^(9-9) = 0.002

Therefore:

P(X ≥ 7) = 0.154 + 0.036 + 0.002 = 0.192

Therefore,  the probability that the player will get at least 7 hits in the game is approximately 0.192, or 19.2%.

To learn more about Probability from given link.

https://brainly.com/question/30034780

#SPJ1

Answer:

A

Step-by-step explanation:

JUst answered same question

Answer:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]S = \{V,W,X,Y,Z\}[/tex]

[tex]n(S) = 5[/tex]

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

[tex]P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20[/tex]

So, the probability model is:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Answer:

answer is V=.20, W=.20, X=.20, Y=.20, X=.20

Step-by-step explanation:

Answer:

[tex]2y + 3y + x = 180 \\ 5y + 30 = 180 \\ 5y = 180 - 30 \\ 5y = 150 \\ y = 30[/tex]

QOR =3Y

=3×30

=90°

ROS = 2Y

=2×30

=60°