In a pool of water filled to a depth of 10 ft, calculate the fluid force on one side of a 3 ft by 4 ft rectangular plate if it rests vertically on its 4 ft edge at the bottom of the pool. Remember that water weighs 62.4 lb/ft3

Answer:

The equation is

y=0.5x+2

Answer:

the average number of car(s) in the system is 1

Step-by-step explanation:

Given the data in the question;

Arrival rate; λ = 2.5 cars per hour

Service time; μ = 5 cars per hour

Since Arrivals follows Poisson probability distribution and service times follows exponential probability distribution.

Lq = λ² / [ μ( μ - λ ) ]

we substitute

Lq = (2.5)² / [ 5( 5 - 2.5 ) ]

Lq = 6.25 / [ 5 × 2.5 ]

Lq = 6.25 / 12.5

Lq = 0.5

Now, to get the average number of cars in the system, we say;

L = Lq + ( λ / μ )

we substitute

L = 0.5 + ( 2.5 / 5 )

L = 0.5 + 0.5

L = 1

Therefore, the average number of car(s) in the system is 1

The expected payout is

2 × 0.5 + 4 × 0.2 + 6 × 0.15 + 8 × 0.1 + 10 × 0.05

= 1 + 0.8 + 0.9 + 0.8 + 0.5

= 4

The expected value of the winnings from this game is $3.90.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the expected value of the winnings, we multiply each possible payout by its probability and then sum these products.

So,

Expected Value = (2 x 0.5) + (4 x 0.2) + (6 x 0.15) + (8 x 0.1) + (10 x 0.05)

Expected Value = 1 + 0.8 + 0.9 + 0.8 + 0.5

Expected Value = 3.9

Therefore,

The expected value of the winnings from this game is $3.90.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ7

Answer:

The participants can be assigned in 224 different ways.

Step-by-step explanation:

Given that you are designing an experiment using human subjects, and the study will include 30 participants, of which 16 will be placed in the experimental group and the remaining 14 will be placed in the control group, to determine in how many ways can you assign participants to the two groups the following calculation must be performed:

16 x 14 = X

224 = X

Therefore, the participants can be assigned in 224 different ways.

that alot of work shhheeshhh

Answer:

Step-by-step explanation:

1. subtract 3.5-3.5 and 12.5-3.5

2.You should 4t=9

3. Divide 4 ÷ 4 and 9 ÷ 4

4. You should have t = 2.25

Answer:

t = 2.25

Step-by-step explanation:

Step 1 :- Divide both side by 3.5.

Step 2 :- Divide each side by 4.

Answer:

cf

=41

5 f-46

Step-by-step explanation:

thiis is the answer

Answer:

To find the inverse, switch the y(F(C)) and the x(C) variables.

So this function:

[tex]y=\frac{9}{5}x+32 \\[/tex]

Will become this function:

[tex]x=\frac{9}{5}y+32 \\[/tex]

You will then solve for y:

[tex]x=\frac{9}{5}y+32 \\x-32=\frac{9}{5}y\\5(x-32)=5(\frac{9}{5}y)\\5x-160=9y\\y=\frac{5x-160}{9}\\y=\frac{5x}{9}-\frac{160}{9}[/tex]

Substitute in the variables of this problem:

[tex]C(F)=\frac{5C}{9}-\frac{160}{9}[/tex]

Answer:

C

Step-by-step explanation:

For this, you want to treat i like any other variable, and combine like terms. However you need to keep in mind that there is a negative sign before the second set of parentheses. This means everything inside it should have a negative before it. So we can write it like this:

(7 + 3i) - (3 - 9i)

7 + 3i -3 +9i

4 + 12i

Hope that helps!

Answer:

A. 8h=m

Step-by-step explanation:

$8* h= total money m earned.

Answer:

please which level is this

and also is it core maths or elective math

Answer:

1.

M = 20 degrees

n =28.74

p = 20.12

2.

B = 73.65 degrees

C = 43.35 degrees

c = 30.05

3.

F = 21 degrees

G = 124 degrees

g = 23.13

Step-by-step explanation:

the law of sines is for a triangle ABC

a/sin(A) = b/sin(B) = c/sin(C)

1.

the sum of all angles in a triangle is always 180 degrees.

so, M = 180 - 125 - 35 = 20 degrees

m/sin(M) = n/sin(N)

12/sin(20) = n/sin(125)

sin(125) = sin(180-125) = sin(55)

n = 12×sin(55)/sin(20) = 28.74

p/sin(P) = m/sin(M)

p/sin(35) = m/sin(20)

p = m×sin(35)/sin(20) = 12×sin(35)/sin(20) = 20.12

2.

a/sin(A) = b/sin(B)

39/sin(63) = 42/sin(B)

sin(B) = 42×sin(63)/39 = 14×sin(63)/13

B = 73.65 degrees

therefore,

C = 180 - 63 - 73.65 = 43.35 degrees

c/sin(43.35) = 39/sin(63)

c = 39×sin(43.35)/sin(63) = 30.05

3.

e/sin(E) = f/sin(F)

16/sin(35) = 10/sin(F)

sin(F) = 10×sin(35)/16 = 5×sin(35)/8

F = 21 degrees

therefore,

G = 180 - 35 - 21 = 124 degrees

g/sin(124) = 16/sin(35)

sin(124) = sin(180-124) = sin(56)

g/sin(56) = 16/sin(35)

g = 16×sin(56)/sin(35) = 23.13

Answer:

[tex]x=\frac{5}{2} \\y=5[/tex]

( 5/2, 2 )

Step-by-step explanation:

Solve by substitution method:

[tex]2x+5=10\\\2x+3y=20[/tex]

Solve [tex]2x+5=10[/tex] for [tex]x[/tex]:

[tex]2x+5=10[/tex]

[tex]2x=10-5[/tex]

[tex]2x=5[/tex]

[tex]x=5/2[/tex]

Substitute [tex]5/2[/tex] for [tex]x[/tex] in [tex]2x+3y=20[/tex]:

[tex]2x+3y=20[/tex]

[tex]2(\frac{5}{2} )+3y=20[/tex]

[tex]3y+5=20[/tex]

[tex]3y=20-5[/tex]

[tex]3y=15[/tex]

[tex]y=15/3[/tex]

[tex]y=5[/tex]

∴ [tex]x=\frac{5}{2}[/tex] and [tex]y=5[/tex]

hope this helps....

Answer:

If you need further explanation, comment on this

Answer:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program. ​

Step-by-step explanation:

An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075

Considering the GMAT score x, and the GPA y, this situation is modeled by the following inequality:

[tex]x + 100y \geq 1075[/tex]

Robbin's GMAT score was 800.

This means that [tex]x = 800[/tex], and thus:

[tex]x + 100y \geq 1075[/tex]

[tex]800 + 100y \geq 1075[/tex]

[tex]100y \geq 275[/tex]

What must her grade point average be in order to be unconditionally accepted into the​ program?

Solving the above inequality for y:

[tex]100y \geq 275[/tex]

[tex]y \geq \frac{275}{100}[/tex]

[tex]y \geq 2.75[/tex]

Thus:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program. ​

Answer:

Train A speed = x + 20

Train B = x

We know the 46 minutes is 23/30 of an hour.

Use D = rt

Take it from it, hope its helped, have a great day!

Answer:

the temperature drops 2 degrees F

Step-by-step explanation:

Answer:

The problem states that the temperature drops 2 degrees F.  The word drops signifies that I should subtract 2 1/5 degrees F from 63 1/4 F.

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

ok so we know he is getting payed $20 + $7 every hour so what i would do is keep the multiply the 7 till you get 70 so thats 7x10=70 and 70+20=90 so he worked for 10 hours last week :)  i hope this helps, i tried my best to explain it

Answer:

4th option

Step-by-step explanation:

tanZ = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{XY}{ZY}[/tex]

Answer:

(3) [tex]x = 7.5[/tex] and [tex]y = 51[/tex]

(4) [tex]x = 6[/tex]

Step-by-step explanation:

Question 3

Required

Solve for x and y

We have:

[tex]16x - 18 + 10x +3 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]16x + 10x = 180 + 18 - 3[/tex]

[tex]26x = 195[/tex]

Solve for x

[tex]x = 195/26[/tex]

[tex]x = 7.5[/tex]

Also:

[tex]16x - 18 = 2y[/tex] ---- opposite angles

So, we have:

[tex]16 * 7.5 - 18 = 2y[/tex]

[tex]120 - 18 = 2y[/tex]

[tex]102 = 2y[/tex]

Divide by 2

[tex]51 = y[/tex]

[tex]y = 51[/tex]

Question 4:

Required

Solve for x

We have:

[tex]11x - 2 + 5x - 4 = 90[/tex] ---- angle at right-angled

Collect like terms

[tex]11x + 5x = 90 +2 + 4[/tex]

[tex]16x = 96[/tex]

Divide by 16

[tex]x = 6[/tex]

Answer:

The equation of the tangent line is [tex]y = -\frac{5}{18}\cdot x +\frac{14}{9}[/tex].

Step-by-step explanation:

Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:

[tex]2\cdot x + 6\cdot y + 6\cdot x \cdot y' + 24\cdot y \cdot y' = 0[/tex]

[tex]2\cdot (x + 3\cdot y) + 6\cdot (x + 4\cdot y) \cdot y' = 0[/tex]

[tex]6\cdot (x + 4\cdot y) \cdot y' = -2\cdot (x+3\cdot y)[/tex]

[tex]y' = -\frac{1}{3}\cdot \left(\frac{x + 3\cdot y}{x + 4\cdot y} \right)[/tex] (1)

If we know that [tex](x,y) = (2, 1)[/tex], then the slope of the tangent line is:

[tex]y' = -\frac{1}{3}\cdot \left(\frac{2+3\cdot 1}{2 + 4\cdot 1} \right)[/tex]

[tex]y' =-\frac{5}{18}[/tex]

By definition of tangent line, we determine the intercept of the line ([tex]b[/tex]):

[tex]y = m\cdot x + b[/tex]

[tex]b = y - m\cdot x[/tex] (2)

If we know that [tex](x,y) = (2,1)[/tex] and [tex]m = -\frac{5}{18}[/tex], then the intercept of the tangent line is:

[tex]b = 1 - \left(-\frac{5}{18} \right)\cdot (2)[/tex]

[tex]b = \frac{14}{9}[/tex]

The equation of the tangent line is [tex]y = -\frac{5}{18}\cdot x +\frac{14}{9}[/tex].

Step-by-step explanation:

Given

f(x) = 2x + 9

f^-1 (x) = ?

Let

y = f(x)

y = 2x + 9

Interchanging the roles of x and y we get

x = 2y + 9

2y = x - 9

y = ( x - 9) / 2

Therefore

⏩f^-1(x) = (x-9)/2

Hope it will help :)

Answer:

D

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Answer:

17

Step-by-step explanation:

Given the regression model :

Y=ax+b

x = Hours of TV watched per day

y= number of sit-ups a person can do

A=-1.341

B=32.234

Y = - 1.341x + 32.234

Predict Y, when x = 11

Y = - 1.341(11) + 32.234

Y = −14.751 + 32.234

Y = 17.483

Hence, the person Cann do approximately 17 sit-ups

Answer:

d. Ad hominem

Step-by-step explanation:

A fallacy can be defined as a mistaken or false belief that are based on illogical arguments or reasoning.

However, a lot of people might actually think it to be true but it isn't. There are various types of fallacy, these include;

I. Black or white.

II. Non sequitur.

III. Appeal to moderation.

IV. Bandwagon.

V. Appeal to authority.

VI. Straw man.

VII. Oversimplification or hasty generalization.

VIII. Appeal to ignorance.

IX. Appeal to pity.

X. Ad hominem.

Ad hominem can be defined as a type of fallacy in which the motive, character, or some other aspect of a person is attacked rather than his or her position.

This ultimately implies that, Ad hominem is typically based on prejudices, emotions, or feelings rather than appealing to reason, intellect or substance.

In this scenario, John Bardeen's research work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. As a result, the speaker concluded that it's prudent at present not to take seriously his current theory on how strings constitute the smallest of subatomic particles. Thus, the logical fallacy described above is an ad hominem because John's slowness in his research work is bone of contention for the speaker rather than analyzing and concentrating on his theory about strings.

Answer:

A. No, ADEF, and AGHI aren't congruent because they don't share a side.

----------------------------

hope it helps...

have a great day!!

Answer:

[tex]-2[/tex]

Step-by-step explanation:

Just substitute -3 for all instances of x.

[tex](-3)^{2} + 4(-3) + 1\\\\[/tex]

[tex]9 - 12 + 1[/tex]

[tex]-2[/tex]

Answer:

[tex]x = - \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]x = \frac{ - b}{2a} = \frac{1}{ - 2} [/tex]

Answer:

The problem is incomplete, but it is solved using a binomial distribution with [tex]n = 8[/tex] and [tex]p = 0.16[/tex]

Step-by-step explanation:

For each adult who regret getting tattoos, there are only two possible outcomes. Either they say that they were too young, or they do not say this. The answer of an adult is independent of other adults, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

​16% say that they were too young when they got their tattoos.

This means that [tex]p = 0.16[/tex]

Eight adults who regret getting tattoos are randomly​ selected

This means that [tex]n = 8[/tex]

Find the indicated probability.

The binomial distribution is used, with [tex]p = 0.16, n = 8[/tex], that is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{8,x}.(0.16)^{x}.(0.84)^{8-x}[/tex]