Members of a public speaking club are competing to see who can recite a speech fastest. Who speaks the most words per minute?

Bailey

Gail

Naomi

Wade

Answer: [tex]\dfrac{21}{410}[/tex].

Step-by-step explanation:

Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]

From the given frequency distribution for the class level of students in an introductory statistics course, we have

Number of Junior= 12

Number of Senior = 7

Total students = 6+16+12+7 = 41

Probability that the first student obtained is a junior = [tex]\dfrac{12}{41}[/tex]

Probability that the the second student obtained is a senior. [tex]=\dfrac{7}{41-1}=\dfrac{7}{40}[/tex]

Then, the probability that the first student obtained is a junior and the second a senior would be [tex]\dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}[/tex]

Hence, the required probability is [tex]\dfrac{21}{410}[/tex].

Answer:

24 sq. u.

Step-by-step explanation:

1)For this triangle area, let's use the classic Euclidean formula:

[tex]\Delta \: area=\frac{b*h}{2}[/tex]

2) Let's measure the lenght of the base, taking the y coordinate of J vertex and L Vertex

[tex]|10-(-2)|=|12|=12[/tex]

3) Similarly to the height, taking the K and its distance to the base

|0-(-4)|=|4|=4

4) Plugging them in:

[tex]\Delta \: area=\frac{12*4}{2}=24[/tex]

Answer:

24 Square Units

Step-by-step explanation:

Answer:

s={apple, orange, banana, pear, peach, plum, mango} (option A)

Step-by-step explanation:

The sample space of an experiment is the set of all possible outcomes of that experiment.

The sample space is essential in finding the probability of an event associated with a random experiment.

In this question, the set of all possible outcomes of the experiment are apples, oranges, bananas, pears, peaches, plums and mangos.

Therefore the sample space for the process is: s={apple, orange, banana, pear, peach, plum, mango} (option A)

Where s = sample space

Though peach was omitted in the set in option A by mistake, the correct answer:

s={apple, orange, banana, pear, peach, plum, mango}

Answer:

39.4736842105 or 39.47, but in integers is 39

Step-by-step explanation:

38/100=.38

15/.38=39.4736842105

Answer:

39.4736842105% or 39.47%

Step-by-step explanation:

To find what percent of 38 is 15, take 15 divided by 38

15/38 = 0.394736842105

Double check this answer by working backwards

38 x 0.394736842105 = 15

Change 0.394736842105 into a percentage because a percentage is what is needed

0.394736842105 = 39.4736842105% = 39.47%

Answer:

16.0

Step-by-step explanation:

Answer:

b 16.0

Step-by-step explanation:

Answer:

To expect a profit in the long run, we have to charge more than $1.73 per play.

Step-by-step explanation:

We hace a roulette wit 37 slots.

One is green, eighteen are red and eighteen are black.

The expected pay for the gambler can be calculated as the sum of the probability of getting green, red or black multiplied by the respective pay.

[tex]E(g)=\sum p_iG_i=p_gG_g+p_rG_r+p_bG_b\\\\\\E(g)=\dfrac{1}{37}(10)+\dfrac{18}{37}(1)+\dfrac{18}{37}(2)\\\\\\E(g)=\dfrac{10+18+36}{37}=\dfrac{64}{37}\approx1.73[/tex]

If $1.73 per play is the expected pay that will receive the gambler, we have to charge at least this amount to make sure we will make a profit in the long run.

Answer:

Following are the ratio to this question:

Step-by-step explanation:

Given:

[tex]\bold{\tan \phi = \frac{60}{11} }\\\\[/tex]

Formula:

[tex]\sin \phi = \frac{Perpendicular}{Hypotenuse}\\\\\cos \phi = \frac{Base}{Hypotenuse} \\\\\tan \phi = \frac{Perpendicular}{Base} \\\\\ cosec \phi = \frac{Hypotenuse}{Perpendicular}\\\\\sec \phi =\frac{Hypotenuse}{Base}\\\\\cot \phi = \frac{Base}{Perpendicular}\\\\[/tex]

[tex]\ Base = 11 \\\ Perpendicular =60\\\ Hypotenuse= 61\\[/tex]

[tex]\sin \phi = \frac{60}{61}\\\\\cos \phi = \frac{11}{61} \\\\\tan \phi = \frac{60}{11} \\\\\ cosec \phi = \frac{ 61}{60}\\\\\sec \phi =\frac{61}{11}\\\\\cot \phi = \frac{11}{60}\\\\[/tex]

Answer:

p=-3

Step-by-step explanation:

5-3x = Px +7

-7 from both sides

-2-3x=Px+7

add 3x to both sides

-2=Px+3x

P =-3 because it will get rid of variable

Answer:

x= -22.5

Step-by-step explanation:

5–3x=Px + R

r= 7

P= 42

5–3x =42x + 7

-3x -42x = 7- 5

-45x =2

x= -22.5

Answer:A.6

Step-by-step explanation:first you subtract -4 with +4 and same ro the other side 16-4 =12. Then tha t leaves you with 2x=12 , so then you do 12÷2=6 . so x=6

Answer:

w = 32

Step-by-step explanation:

Since these triangles are similar, you can set up a proportion like this:

[tex]\frac{24}{w} =\frac{36}{48}[/tex]

Cross multiply:

[tex]\frac{1152}{36w}[/tex]

Divide 1152 by 36:

w = 32

Answer:

1/2, 5/2

Step-by-step explanation:

To find the midpoint add up the x coordinates and divide by 2 and the y coordinates and divide by 2

(-3+4)/2, (-2 +7)/2

1/2, 5/2

Answer:

[tex](\frac{1}{2}, \frac{5}{2} )[/tex]

Step-by-step explanation:

Use the midpoint formula:

[tex](\frac{-3+4}{2} , \frac{-2+7}{2} )[/tex]

The points are:

[tex](\frac{1}{2}, \frac{5}{2} )[/tex]

Answer:

876 square feet need to be painted.

Step-by-step explanation:

There are four walls in each bedroom, since she can't paint floors or ceilings. So we calculate the number of square feet of wall there is in one bedroom

(12*8)+(12*8)+(10*8)+(10*8)-60=160+192-60=292

There are 3 bedrooms so

292*3=876

Answer:

The most important quantity to consider in order to answer this question is the arrival time of the zombies from their initial position, which is the quotient between their distance to the visitors, divided the zombie's speed.

See explanation below.

Step-by-step explanation:

Part 1)

What is crucial to know is what is the time at which each zombie would reach Alice and Bob, and that is given by the quotient between the distance away each zombie is, divided by the zombie's speed:

[tex]speed=\frac{distance}{time} \\time=\frac{distance}{seed} \\t_i=\frac{d_i}{s_i}[/tex]

Then, it is this quotient for each zombie, that one has to estimate given the input values distance and speed, and it is the output "time" ([tex]t_i[/tex]) for each zombie, what we need to analyze so as to prioritize an order regarding which zombie to kill first.

Part 2)

Shooting the closest zombie first is not a good idea, since the speed of that closest zombie may be much slower than another zombie further away, but with much larger speed. Again, the important value to analyze is the time that it would take each zombie to reach Alice and Bob.

Part 3)

Shooting the fastest zombie first is not a good idea either, because that fastest zombie could be located very far away from the visitors, and other zombies closer by may reach them first.

Part 4)

The order that should be used to kill the zombies is given by the value of the time to reach Bob and Alice based on the quotient distance (di) over speed (si) explained in Part 1). The zombie that shows smallest time should be shot first, and then the others in increasing order of time value.

Part 5)

Notice that the individual zombie information is not presented in the question, but the student should be able to calculate the quotients for each zombie, and considering that there could be at most one shot every second, estimate the number of seconds that the time for each zombie in increasing order would allow until the addition of shooting time per second in the appropriate order cannot match the arrival time of the zombies that are left.

One should count number of seconds from the first shot (to the zombie with shortest arrival time), and then increase in one unit (one shot per second), to the following zombie with slightly larger arrival time), and so on, until the addition of seconds (one second per shot and per increasing arrival time of zombie) exceeds the next zombie arrival time.

Answer:

3/14

Step-by-step explanation:

Let [tex]n[/tex] be the smallest integer; then, the other two integers are [tex]n+1[/tex] and [tex]n+2,[/tex] so we have the equation [tex]3n+3=63.[/tex] Solving, we have [tex]n=20,[/tex] so the integers are [tex]\boxed{20,21,22}.[/tex]

Question:

Fill in the blank.

23 x 6 = (20 + 3) * 6

23 x 6 = _ + (3x6)

Options

20 * 6

20 * 3

20 * 5

Answer:

20 * 6

Step-by-step explanation:

Given

Expression 1:  23 * 6 = (20 + 3) * 6

Expression 2:  23 * 6 = __ + (3 * 6)

Required

Fill in the blank

From Expression 1

23 * 6 = (20 + 3)*6

Using Distributive Property; The expression becomes

23 * 6 = 20 * 6 + 3 * 6

23 * 6 = (20 * 6) + (3 * 6)

By Comparing this with expression 2

23 * 6 = __ + (3 * 6)

The blank position is occupied by 20 * 6.

Hence, the correct option that fills the missing blank correctly is 20 * 6

The correct option that fills the missing blank correctly is 20 * 6.

The blank position is occupied by 20 * 6.

Here, we have,

Given

Expression 1:  23 * 6 = (20 + 3) * 6

Expression 2:  23 * 6 = __ + (3 * 6)

Required

Fill in the blank

From Expression 1

23 * 6 = (20 + 3)*6

Using Distributive Property;

The expression becomes

23 * 6 = 20 * 6 + 3 * 6

23 * 6 = (20 * 6) + (3 * 6)

By Comparing this with expression 2

23 * 6 = __ + (3 * 6)

The blank position is occupied by 20 * 6.

Hence, the correct option that fills the missing blank correctly is 20 * 6.

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complete Question:

Fill in the blank.

23 x 6 = (20 + 3) * 6

23 x 6 = _ + (3x6)

Options

20 * 6

20 * 3

20 * 5

Answer:

d y = -5x+3

Step-by-step explanation:

slope intercept is y=mx+b m is for the slope and b is the y intercept so the -5x would go first and then the 3

Answer:

  x = 48.40'

  y = 33.01'

Step-by-step explanation:

These are all segments of a right triangle, so the Pythagorean theorem applies.

  x^2 = 46.07^2 +14.82^2 = 2342.0773

  x = √2342.0773 ≈ 48.40

__

  x^2 = 35.39^2 +y^2

  y^2 = 2342.0773 -35.39^2 = 1089.6252

  y = √1089.6252 ≈ 33.01

Units are feet for both numbers:

  x = 48.40'

  y = 33.01'

_____

You always start any question by reading the whole question, identifying the (relevant) given information, and understanding what the question is asking for. You then make an assessment of what you know about the relationships between the given information and what is asked. Finally, you develop a strategy for getting from what you know to what you need to know.

Here, you're given segment lengths of right triangles, and you're asked for other segment lengths. This is not a trig problem--no angles are involved. It is a straight Pythagorean theorem problem. To make use of that theorem, or any formula, you need to have only one unknown. So, you can't start by solving the bottom triangle; you have to start with the upper one where there is only the unknown side x.

After you find x, then you have two known sides in the bottom triangle, so you can find y.

Here, x is an intermediate value in the computation of y. You do NOT use the rounded answer to the question when you're computing y. Rather, you use the full calculator precision for x, so that y can have best accuracy. Only at the end do you round to hundredths.

Answer:

Center: (-1,0)

Radius: [tex]\sqrt{21}[/tex]

Step-by-step explanation:

You can complete the square for x:

[tex]x^2+2x+y^2=20 \\\\(x^2+2x+1)-1+y^2=20 \\\\(x+1)^2+y^2=21[/tex]

The standard form for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Therefore, the center of this circle is at (-1,0), and the radius is [tex]\sqrt{21}[/tex]. Hope this helps!

Answer:

D. One end increases and one end decreases

One end increases and one end decreases in the given function  f(x) = - In (2x) + 4. Therefore, the correct option is option D.

What is mathematical function?

In mathematics, a function is a phrase, regulation, or statute that establishes the connection between an independent variable and a dependent variable.

In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837. One end increases and one end decreases in the given function  f(x) = - In (2x) + 4.

Therefore, the correct option is option D.

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Answer:

3

Step-by-step explanation:

43-40=3

Answer:

I cant see it properly

Step-by-step explanation:

Answer:

13 l of 15%, 13 l of 25%, 26 l of 70%

Step-by-step explanation:

solutions:

final solution:

This includes 0.45*52l= 23.4 l acid

Let's assume:

so there are 2 equation:

or

--------

Answer:

A

Step-by-step explanation:

140 x 0.8 = 112

Answer:

140 students voted (Answer A)

Step-by-step explanation:

Let v represent the total number of students who voted.

Then 0.80v = 112 votes.

Dividing both sides by 0.80, we get:

v = 140. 140 students voted.

As a check, find 80% of 140 students:  that comes out to 112 students (correct)

Answer:

170m

Step-by-step explanation:

The answer to the above question is letter d which is 170 m. To get the 170 m, kindly check the below solution: 

x^2 + 13x = 1764 so x = -49 and 36, we take 36 as its the positive value. And the other side is 49. Now use 2(l+b) to find perimeter. You get (36+49)*2 = 170

Answer:

Dependent Variable = tips left by male customers

Independent Variable = T-Shirt color worn by waitresses

Step-by-step explanation:

Dependent variable is the variable that changes when the independent variable changes.

In other words, when the independent variable is varied, the dependent variable changes. The dependent variable is the effect or outcome of the manipulation of the independent variable.

In the study referred to in the question above, the amount of tips given to waitresses is dependent on the color of the T-shirt the waitresses wear.

Therefore, the dependent variable is T-Shirt color, while the independent variable is the amount of tips given.

Answer:

ΔT =313.5 K - 240.3 K = 73.2 K

Step-by-step explanation:

It's more confortable to work in °C to determine the Absolute value

T°C + 273 = T° K (Kelvin grades)

ΔT = Highest T° in K - Lowest T° in K

We make the conversion to Celsius degree, from Farenheit:

(x F - 32°) . 5/9 = °C

(105 F - 32°) . 5/9 = 40.5°C

(-27 F - 32°) . 5/9 =  - 32.7 °C

40.5°C + 273 = 313.5 K

-32.7 °C + 273 = 240.3 K

Answer: 132 Should be your answer.

Step-by-step explanation: I don't know how to explain very correctly, but I do know that is correct, have a nice day.

Answer:

(1,3) (B)

Step-by-step explanation:

A function cannot have 2 y values per x value.  The x value of 1 has 2 y values on it which are -2 and 3.  Therefore, you must remove one of them.  The only one that applies is (1,3)

I completed the vertical line test which shows that A, C, nor D had another point on their lines. So B is the answer.

Answer:

C) 60

Step-by-step explanation:

m ABC is 60 degrees

Answer:

The answer is mABC = 60°