10.5 divided by .21

help fast pls! and i need to show my work.

Answer:

ans is 58°

Step-by-step explanation:

it is a straight line so the angle is 180°

so the angle of CED is

CED + 122° = 180°

CED = 180 - 122 = 58°

Probabilities are used to determine the chances of an event

(a) Probability that a person is sick

From the table, we have:

\(\mathbf{Sick = 59+1 = 60}\)

So, the probability that a person is sick is:

\(\mathbf{Pr = \frac{Sick}{Total}}\)

This gives

\(\mathbf{Pr = \frac{60}{7500}}\)

\(\mathbf{Pr = 0.008}\)

The probability that a person is sick is: 0.008

(b) Probability that a test is positive, given that the person is sick

From the table, we have:

\(\mathbf{Positive\ and\ Sick=59}\)

So, the probability that a test is positive, given that the person is sick is:

\(\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}\)

This gives

\(\mathbf{Pr = \frac{59}{60}}\)

\(\mathbf{Pr = 0.9833}\)

The probability that a test is positive, given that the person is sick is 0.9833

(c) Probability that a test is negative, given that the person is not sick

From the table, we have:

\(\mathbf{Negative\ and\ Not\ Sick=7365}\)

\(\mathbf{Not\ Sick = 75 + 7365 = 7440}\)

So, the probability that a test is negative, given that the person is not sick is:

\(\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}\)

This gives

\(\mathbf{Pr = \frac{7365}{7440}}\)

\(\mathbf{Pr = 0.9899}\)

The probability that a test is negative, given that the person is not sick is: 0.9899

(d) Probability that a person is sick, given that the test is positive

From the table, we have:

\(\mathbf{Positive\ and\ Sick=59}\)

\(\mathbf{Positive=59 + 75 = 134}\)

So, the probability that a person is sick, given that the test is positive is:

\(\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}\)

This gives

\(\mathbf{Pr = \frac{59}{134}}\)

\(\mathbf{Pr = 0.4403}\)

The probability that a person is sick, given that the test is positive is: 0.4403

(e) Probability that a person is not sick, given that the test is negative

From the table, we have:

\(\mathbf{Negative\ and\ Not\ Sick=7365}\)

\(\mathbf{Negative = 1+ 7365 = 7366}\)

So, the probability that a person is not sick, given that the test is negative is:

\(\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}\)

This gives

\(\mathbf{Pr = \frac{7365}{7366}}\)

\(\mathbf{Pr = 0.9998}\)

The probability that a person is not sick, given that the test is negative is: 0.9998

(f) When a test is 99% accurate

The accuracy of test is the measure of its sensitivity, prevalence and specificity.

So, when a test is said to be 99% accurate, it means that the test is correct, and the result is usable; irrespective of whether the result is positive or negative.

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Answer:

$22.95

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

b - 2x

b = -5 and x = 4.

We can replace the variables with:

-5 - (2*4)

-5 - 8

-13

Answer:

2

Step-by-step explanation:

Answer:

28.6918 or 28.69

Step-by-step explanation:

Answer:

$28.69

Step-by-step explanation:

First, let's find how much 18% of $34.99 is. We can do this in one step by multiplying 34.99 by .18.

\(34.99*.18=6.30\)

Now, just subtract the sale from the original cost.

\(34.99-6.30=28.69\)

Mina paid $28.69.

I hope this helps!

Answer:

7x + 3y.

Step-by-step explanation:

7 pencils cost 7x cents and 3 erasures cost 3y cents.

First calculate distances or lengths(Refer to attachment)

A:-

\(\\ \sf\longmapsto Perimeter=Sum\:of\:sides\)

\(\\ \sf\longmapsto 5.3+9+11+9+9.7\)

\(\\ \sf\longmapsto 15+29\)

\(\\ \sf\longmapsto 44\)

B:-

Refer to the attchment

C:-

\(\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)\)

\(\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)\)

D:-

EH>OH

E:-

\(\\ \sf\longmapsto Perimeter\)

\(\\ \sf\longmapsto 9.7+5.3+9\)

\(\\ \sf\longmapsto 24\)

Answer:

The coordinates of the HOUSE:

To find the perimeter first find the length of each side:

The perimeter is:

Use midpoint formula:

The point is (2.5, 3.5)

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

4.6%

Step-by-step explanation:

Correct me if I'm wrong

219.66-210=9.66

210x4.6%=9.66

Answer: 4.6%

Step-by-step explanation:

I just took the test :)

Evaluating the composition of functions in x = 1 gives:

f(g(1)) = 28

Here we have the two functions:

f(x) = 4x

g(x) = 2x + 5

And we want to find to find the composition f(g(x)), we will get:

f(g(x)) = 4*g(x)

Replacing g(x) there we will get:

f(g(x)) = 4*(2x + 5)

         = 8x + 20

Now we can evaluate that in x = 1, then we will get:

f(g(1)) = 8*1 + 20 = 28

That is what we wanted to find.

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Answer:

0 < A < 90

0 < C < 90

Step-by-step explanation:

If B is the right angle of the triangle, then the sum of the other angles, A and C, must equate 90° since all angles in a triangle sum to 180°:

A + C = 90

A and C could both be anything between 0 and 90, but they must satisfy the equation above:

0 < A < 90

0 < C < 90

Answer:

-2 is a zero of the polynomial. 2 is not a zero of the polynomial.

Step-by-step explanation:

A value of x is a zero of a polynomial if when it is substituted for x in the polynomial, it makes the polynomial evaluate to zero.

The polynomial is x + 2

Let x = -2:

x + 2 = -2 + 2 = 0

-2 is a zero of the polynomial.

Let x = 2:

x + 2 = 2 + 2 = 4

2 is not a zero of the polynomial.

Answer:

Bottom left

Step-by-step explanation:

Mark brainliest please

Yes, Lara is correct.

The steps are as follow:

So Lara is correct

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Answer:

245

Step-by-step explanation:

Answer: 245 meters

Step-by-step explanation:

Use definite integral to find the position value. Since the derivative of a position function gives you the velocity function, the antiderivative (the integral) should get you the position function from a velocity function. The absolute value is there to prevent any negative values from coming, as can't be a negative distance.  

\(\int\ {|49-9.8x|} \, dx\) gives you

\(4.9*(x-5)*|x-5|\)

Evaluate the function at the limits.

doing so gives 245 meters

Answer: 1.5 x 10 x 10 (I think)

Step-by-step explanation:

10^2 = 10 x 10

1.5 x 10 x 10

Answer: 6

Step-by-step explanation:7 -1=6

Answer:

1, -4, -9, -14, -19, -24, -29, -34, -39, -44, -49, -54 = -318

Step-by-step explanation:

Answer:

The Answer is -318.

Step-by-step explanation:

1 + (-4) + (-9) + (-14) + (-19) + (-24) + (-29) + (-34) + (-39) + (-44) + (-49) + (-54)

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Answer:

B) (2x100) + (4x10) + (1x1) + (3x1/10) + (2x1/100) + (4x1/1000)

Answer:

8.5

Step-by-step explanation:

1/9=0.1111111111111

0.1111111111111=0.1

83=80 or 85

0.1*85=8.5

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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Answer: 44

Step-by-step explanation:

\(3w^{2} -3w+8\)

w=4

Plug 4 in for w.

\(3(4)^{2} -3(4)+8\)

\(=3(16)-12+8\)

\(=48-4\\=44\)

x-0.7 NO

0.3 (x-1) No

0.7 x YES

x-(0.3x) YES

To represent a 30% discount we have to subtract the discount in decimal form (0.3) to 1, and multiply it by the ori

abe

Answer:

Step-by-step explanation:

2 times the first and –1 time the second will eliminate the x variables in the equations.

Option E is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

(1/3)x - (2/3)y = 7 ____(1)

(2/3)x + 3y = 11 _____(2)

Now,

Multiply 2 on equation (1).

Multiply - 1 on equation (2).

We get,

(2/3)x - (4/3)y = 14

-(2/3)x  - 3y = -11    

           -(4/3)y - 3y = 14 - 11

Now x variable gets eliminated.

Thus,

2 times the first and –1 time the second will eliminate the x variables in the equations.

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Answer:

21

Step-by-step explanation:

First you would subtract 8 from 50 (50 - 8). Once you have that answer, 42, you divide it in half (42/2). Your final answer is 21. The full equation is:

(50 - 8)/2

Question:

A lighthouse is located on an island 3 miles from the closest point on a straight shoreline. If the lighthouse light rotates clockwise at a constant rate of 9 revolutions per minute, how fast does the beam of light move towards the point on the shore closest to the island when it is 52 miles from that point

Answer:

The beam of light moves at \(16278\pi\) miles/min

Step-by-step explanation:

This question is illustrated with the attached image

Taking the instructions in the question, one at a time.

A revolution of 9 per minute implies that:

\(\frac{d\theta}{dt} = \frac{9 * 2\pi\ rad}{1\ min}\)

\(\frac{d\theta}{dt} = 18\pi \frac{rad}{min}\)

Take tan of the angle in the attachment:

\(tan(\theta) =\frac{52}{3}\)

Differentiate both sides with respect to time

\(\frac{d\ tan(\theta)}{dt} =\frac{52}{3} * \frac{dx}{dt}\)

Rewrite as:

\(\frac{d\ tan(\theta)}{d\theta} * \frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}\)

In calculus:

\(sec^2(\theta) =\frac{d\ tan(\theta)}{d\theta}\) -- Chain rule

So:

\(sec^2(\theta) *\frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}\)

In trigonometry:

\(sec^2(\theta) = tan^2(\theta) + 1\)

So:

\((tan^2(\theta) + 1)\frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}\)

Recall that:

\(tan(\theta) =\frac{x}{3}\)

\(((\frac{52}{3})^2 + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}\)

\((\frac{52^2}{9} + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}\)

\((\frac{2704}{9} + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}\)

\((\frac{2704+9}{9})\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}\)

\((\frac{2713}{9})\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}\)

Recall that: \(\frac{d\theta}{dt} = 18\pi \frac{rad}{min}\)

\((\frac{2713}{9}) * 18\pi =\frac{1}{3} * \frac{dx}{dt}\)

\(2713 * 2\pi =\frac{1}{3} * \frac{dx}{dt}\)

Multiply both sides by 3

\(3 * 2713 * 2\pi =\frac{1}{3} * \frac{dx}{dt} * 3\)

\(3 * 2713 * 2\pi =\frac{dx}{dt}\)

\(16278\pi =\frac{dx}{dt}\)

\(\frac{dx}{dt} = 16278\pi\) miles/min

Hence:

The beam of light moves at \(16278\pi\) miles/min