1
Select the correct answer from each drop-down menu.
Ray and Terry work in the same office. They sit across from each other at fixed desks that are separated by a partition, or a short dividing wall,
exactly halfway between them. The distance between the end of each desk and the partition is 35 inches. For both Ray and Terry, the top of the
partition is at an angle of elevation of 30° with respect to the end of the desk. This scenario can be modeled by the given diagram.

Answer:

a) 0.1125 = 11.25% probability that you play someone ranked high and lose.

b) 0.5435 = 54.35% probability that you win

c) 0.0690 = 6.90% probability that you played a high rated opponent

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

(a) For a randomly assigned match, what is the probability that you play someone ranked high and lose?

15% probability that you play someone that is ranked high.

If you play someone ranked high, 100 - 25 = 75% probability you lose

0.15*0.75 = 0.1125

0.1125 = 11.25% probability that you play someone ranked high and lose.

(b) For a randomly assigned match, what is the probability that you win?

75% of 30%(novice oponent)

50% of 55%(mid oponent)

25% of 15%(high opponent). So

[tex]p = 0.77*0.3 + 0.5*0.55 + 0.25*0.15 = 0.5435[/tex]

0.5435 = 54.35% probability that you win

(c) You play a match and win. What is the probability that you played a high rated opponent?

Here, we use the conditional probability formula.

Event A: Winning

Event B: Playing a high opponent.

0.5435 = 54.35% probability that you win

This means that [tex]P(A) = 0.5435[/tex]

Intersection of events A and B:

25% of 15%(high opponent). So

[tex]P(A \cap B) = 0.25*0.15 = 0.0375[/tex]

Question:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.5435} = 0.0690[/tex]

0.0690 = 6.90% probability that you played a high rated opponent

Answer:

0.028 hectograms

Step-by-step explanation:

1 gram = 0.01 hectograms

Answer: Hey here’s your answer: 2/3 divided by 5=2/15

Hth

Step-by-step explanation:

Answer:

2/15 is ur answer

Step-by-step explanation:

2/3 ÷ 5

2/3 x 1/5

2/15

Answer:

The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.

To find:

The volume of the rectangular prism.

Solution:

Let the length, breadth and height are 21 in, 20 in and 19 in respectively.

Volume of the rectangular prism is

[tex]V=Length\times Breadth\times Height[/tex]

[tex]V=21\times 20\times 19[/tex]

[tex]V=7980[/tex]

Therefore, the volume of the rectangular prism is 7980 cubic inches.

Given:

The graph of a triangle ABC.

A line is parallel to AC and passes through the point D.

To find:

The point at which the intersection of this parallel line be with the line BC.

Solution:

From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).

Slope of AC is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{1-7}{9-1}[/tex]

[tex]Slope=\dfrac{-6}{8}[/tex]

[tex]Slope=\dfrac{-3}{4}[/tex]

Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].

The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex]              ...(i)

From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.

Putting x=9, we get

[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).

Answer:

6500-40=6460

Step-by-step explanation:

Answer:

The answer will be x=6.07 I believe

Step-by-step explanation:

I hope this Helped

Answer:

[tex]2\sqrt{13}[/tex]

Step-by-step explanation:

Since the 0CA and ACL are equal, we know that OA equals AL.

Using the Pythagorean Theorem, 10^2-6^2=100-36=64.

Under square root 64 is equal to 8, so OL is equal to 8.

Since OA is equal to AL, AL=6.

Again, using the Pythagorean Theorem, 6^2+4^2=36+16=52.

Under square root 52 simplifies to [tex]2\sqrt{13}[/tex]

Hope I helped!

Answer:

140

Step-by-step explanation:

35 x 4= 140

Answer: 2 1/3

Step-by-step explanation:

Answer and Step-by-step explanation:

To turn [tex]\frac{7}{3}[/tex] into a mixed number, we see how many times 3 goes into 7.

3 goes into 7 two times, so we put a  two on the outside.

[tex]2\frac{1}{3}[/tex]

^ This is your answer, cause when you do 3 times 2, plus the numerator (1), you get 7.

#teamtrees #WAP (Water And Plant)

Answer:

EF=2 cm

Step-by-step explanation:

Answer:

EF = 2 cm

Step-by-step explanation:

HK = HG + GK

10 = 4 + GK

GK = 10 - 4

GK = 6 cm

or

KG = 6cm

[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]

[tex]\because EG\cong KG.. (cpct) [/tex]

[tex]\therefore EG = 6 cm [/tex]

[tex]\because FG\cong HG.. (cpct) [/tex]

[tex]\therefore FG = 4 cm [/tex]

EF = EG - FG (E-F-G)

EF = 6 - 4

EF = 2 cm

The answer is y = 8.5x

explanation is in the picture.

hope it helps.

Answer:

y= 8.5x

Step-by-step explanation:

The question is incomplete. The complete question is :

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 24 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.

a. Which form of the null and alternative hypotheses most appropriate for this situation.

[tex]$H_0$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)

[tex]$H_a$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)

Solution :

It is given that the current mean sales volume in one month is 24 automobiles. The automobile dealership manager wants to conducts research study to check the increase in the sales volume due to the launch of a new bonus plan. So to collect the data on plan, sample of the sales personnel is allowed to sell for one month period only according to the new bonus plan.

Therefore the null hypothesis and the alternate hypothesis that most appropriates the situation is :

Answer:

22.5 i think

Step-by-step explanation:

-3x + 8 + 5x = - 35

add like terms

2x + 8 = -35

subtract 8 on both sides

2x  = 43

divide by 2

22.5

Answer:

22.5

Step-by-step explanation:

add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help

Answer:

$50.84

Step-by-step explanation:

By multiplying $3.28 × 15.5 = $50.84

Answer:

26 = -28 - 12

Step-by-step explanation:

1. 12 x 1 - 12 x 3x

2. 8x - 36

Answer:

x = 1

Step-by-step explanation:

6x + 26 = 8x - 12(1 - 3x)

6x + 26 = 8x - 12 + 36x

6x + 26 = -12 + 44x

-6 + 6x + 26 = -12 + 44x - 6

26 = -12 + 38x

12 + 26 = -12 + 12 + 38x

38 = 38x

38/38 = 38x/38

1 = x

Answer:

Step-by-step explanation:

A∪B = {1,2,3,4,5}

B∩C = {4}

I don't know what CD means.

A' = {5,6,7,8,9}

Answer:

x= -1.1

Step-by-step explanation:

first combine like terms

3x+7x=10x

10x-8=-19

+8 on both sides

10x= -11

divide by 10

x= -1.1

check the answer

10(-1.1)-8= -19

-11-8= -19 its true

in figure

85+5n+5n+5n+5f+5n-10=540

20n+80=540

20n= 460

x=23

-34/7 is the exact form -4.857142 repeating

Answer:

x/4 = x-6

Step-by-step explanation:

x/4 = x-6 makes x = 8

Hope this helps!!!

Answer:

80 miles in 4 days.

Step-by-step explanation:

48/12 = 4

4 miles per day

4 × 20 = 80

80 miles in 4 days

Answer:

2000 profit

Step-by-step explanation:

15000 - 13000 is 200 I may be wrong I didn't understand the question

Answer:

11 units from the origin

Step-by-step explanation:

When graphing the line 4x-34=10, it intersects the x-axis 11 units from the origin.

Answer:

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

ENGLISH

If you Multiply 9x100 you get 900 then you divide 15 divided by 900 is 60

SPANISH

Si multiplica 9x100 obtiene 900, entonces divide 15 dividido por 900 es 60

Hope this will help you

Answer:

no, a rectangle must have 4 right angles and opposite sides are congruent

a rhombus must not have right angles and all sides are congruent

Step-by-step explanation:

Answer:

no

Step-by-step explanation: no it cant since a rhombus has 4 equal sides while a rectangle has 2 sets of equal sides.