if
[tex] \sqrt{16} [/tex]
=x then x^2 = ​

Answer:

the answer is 63 green marbles

Step-by-step explanation:

Answer:

Green marbles are probably = 62.5.

Step-by-step explanation:

Since Jan completes 60 trials and pulled green 15 times, the probability of any marble being green can be calculated as:

= 15/60

= 0.25

With 250 marbles in the bag, using the probability value of green marbles calculated above, the number of green marbles can be estimated as:

= 0.25 of 250

= 62.5

This shows that since there is a 25% probability of obtaining a green marble from 60 trials of pulling colored marbles out of the bag containing 250 marbles, then the total number of green marbles will be equal to 62 or 63.

Answer:

If he had to take it evenly, he'd take 9.9 cups a day.

Step-by-step explanation:

I found this by dividing 99 cups over 10 days. 99/10

Answer:

y = -3x + 5

Step-by-step explanation:

Since the line is parallel, we know that the slope of our line must be equal to the one given.

The given equation is:

y = -3x + 4

and thus, it has a slope of -3

As such, our unknown equation...

y = kx + m

...must have the same k-value, or the same slope, of -3.

y = -3x + m

Now we just need to find m. We know that our line passes through the point (2, -1), or in other words, when x = 2, y = -1

We can put these values for x and y into our equation.

y = -3x + m

-1 = -3 * 2 + m

-1 = -6 + m

Adding 6 to both sides:

5 = m

m = 5

Putting m = 5 into our equation:

y = -3x + m

y = -3x + 5

..we find that our equation is

y = -3x + 5

The required equation of a line is y = -3x + 5 that passes through (2,-1) and is parallel to y = -3x + 4.

The slope of the line is defined as the gradient of the line.

The given equation is:

y = -3x + 4

And, it has a slope of -3

We know that the slope of our line must be equal to the one given because the line is parallel.

y = mx + c

Here the same slope, of -3, so m = -3

y = -3x + c ....(i)

The required line passes through point (2, -1),

Substitute the values of x = 2, and y = -1 in equation  (i), and solve for c

y = -3x + c

-1 = -3(2) + c

-1 = -6 + c

Add 6 to both sides of the equation,

5 = c

c = 5

Substitute the values of c = 5 = 2 in equation  (i),

y = -3x + 5

Thus, the required equation of a line is y = -3x + 5 that passes through (2,-1) and is parallel to y = -3x + 4.

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Answer:

The probability of a person is a terrorist is  [tex]0.161.[/tex]

Step-by-step explanation:

Let,

[tex]A=[/tex] Your neighbor is a terrorist

[tex]B=[/tex] Your neighbor tested positive

Now we want to find the value of [tex]P(A|B)[/tex] where

     [tex]P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^c)P(A^c)}[/tex]

where [tex]P(A)=\frac 1{100}=1-P(A^c), P(B|A)=0.95,[/tex]

          [tex]P(B|A^c)=1-0.95=0.05[/tex]

Therefore, [tex]P(A|B)=\frac{\frac{0.95}{100}}{\frac{0.95}{100}+0.05\times \frac{99}{100}}[/tex]

                            [tex]=\frac{\frac{0.95}{100}}{\frac{0.95+0.05\times 99}{100}}=\frac{0.95}{0.95+4.95}[/tex]

                            [tex]=0.161[/tex]

Hence, the probability of a person is a terrorist is  [tex]0.161.[/tex]

Answer:

-6

(I don’t understand what you mean by on & 5 but..)

Step-by-step explanation:

The two negatives (the -(- ) cancel each other out and make a postive, so

-18 + 12 = -6

Answer:

-6

Step-by-step explanation:

-18 - (-12)=-18+12

-18+12=-6

Answer:

-8,-2= 6

6,-1=7

Step-by-step explanation:

get a number line and use that to it and look up how to use a number line with negative numbers it’s not hard once you see how it’s done

Hey there! I'm happy to help!

Here is how to find the distance between two points.

Find the difference between the x values.

-8-6=-14

We square this.

14²=196

We find the difference between the y values.

-2-(-1)=-2+1=-1

We square it.

-1²=1

We add up the two numbers we got.

196+1=197

And we square root it.

√197≈14

Have a wonderful day! :D

Answer: 29.916 minutes

Step-by-step explanation:

Given the following :

Mean of distribution = 17.8 minutes

Standard deviation of distribution = 5.2 minutes

Percentage of customers to give free lube and oil change service should not exceed 1% if the customer waits beyond the guaranteed time ;

Length of guarantee :

Since % of customers should not exceed 1%

Then probability of not being chosen = (1 - 0.01) = 0.99

Using the z table to find the Zscore of 0.99,

Zscore of 0.99 = 2.33

This is 2.33 standard deviations above the mean

(2.33 × standard deviation) + mean value

(2.33 × 5.2 minutes) + 17.8 minutes

12.116 + 17.8

= 29.916 minutes

Answer:

Lung cancer

Step-by-step explanation:

The response variable is lung cancer. From the question we are testing to find out what effect smoking has on lung cancer. Therefore lung cancer is our response variable.

Another name for the response variable is the dependent variable. And it is the variable that we are testing for. This variable would respond to changes that are being made to the independent variable.

Answer:17

Step-by-step explanation:

The values of RS = 19.625 and ST is 8.375.

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

Given:

RS= 7y-4, ST= y+5, and RT= 28

Suppose that S is between R and T, then:

RS + ST = RT

Putting the values

7y-4+y+5 = 28

7y+y-4+5 = 28

8y + 1 = 28

Subtract 1 from both sides

8y+1-1 = 28 - 1

8y = 27

y = 27/8

y = 3.375

So, length of RS = 7y - 4 = 23.625 - 4 = 19.625.

and, ST = y+5

ST = 3.375+5

ST = 8.375

Hence, the value of RS = 19.625 and ST is 8.375.

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Answer:

Step-by-step explanation:

The angles in matching corners are called Corresponding Angles.

The Corresponding Angles Theorem: If a transversal cuts two parallel lines, their corresponding angles are congruent

Correct answer choice is C.

The missing reason is corresponding angles theorem.

Corresponding angles are angles that have the same relative position or measurement in two similar figures. They are formed when two lines, parallel or not, are intersected by a transversal.

Given that, lines a and b are parallel and line c is a transversal.

We need to prove ∠2 is supplementary to ∠8.

The proof:-

1. a || b, c is a transv.          1. given

2. ∠6 ≅ ∠2                          2. corresponding angles theorem

3. m∠6 = m∠2                     3. def. of congruent

4. ∠6 is supp. to ∠8            4. def. of linear pair

5. ∠2 is supp. to ∠8            5. congruent supplements theorem

Hence the missing reason is corresponding angles theorem.

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Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 3x² - x + 2

To evaluate given values of x, substitute the values of x into f(x)

(a)

f(3) = 3(3)² - 3 + 2 = 3(9) - 1 = 27 - 1 = 26

(b)

f(- 5) = 3(- 5)² - (- 5) + 2 = 3(25) + 5 + 2 = 75 + 5 + 2 = 82

(c)

f(2) = 3(2)² - 2 + 2 = 3(4) = 12

(d)

f(m) = 3m² - m + 2

(d)

f(x + 2) = 3(x + 2)² - (x + 2) + 2 ← expand (x + 2)² using FOIL

            = 3(x² + 4x + 4) - x - 2 + 2

             = 3x² + 12x + 12 - x ← collect like terms

             = 3x² + 11x + 12

Answer:

y = 22 - 2x

Step-by-step explanation:

Given the following :

Amount of water in salt water fish tank = 22 inches

Evaporation occurs steadily at the rate ; 2 inches per week

The depth y of water in the aquarium x weeks after filling :

The depth of water reduces as evaporation occurs ; and as such reduces by 2 inches per week

Hence,

After x weeks, the depth 'y' of water in the aquarium will be :

y = Initial position of water - 2(number of weeks)

y = 22 - 2x

y = new depth

x = number of weeks

Answer:

Both Gabriel and his sister are correct. The two expressions are equivalent. Gabriel’s sister just needs to combine her like terms to get the same expression as Gabriel.

Step-by-step explanation:

sample response for ed 20202

Answer: x=-0.4

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

maybe the answer is or "ABC" or "BCA" hope i halp :)

Answer:

mmk

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Hope that's right

Answer:

24

Step-by-step explanation:

First Pemdas first everything inside the parenthesis then times it by negative then add everything up

Answer:

B is the correct answer

Step-by-step explanation:

There are two y coordinates for one x coordinate

Answer:

[tex]\frac{7}{\sqrt{3}}[/tex]

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

[tex]d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |[/tex]                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

[tex]d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |[/tex]

[tex]d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |[/tex]

[tex]d = |\frac{(-7)}{\sqrt{3}} |[/tex]

[tex]d = \frac{7}{\sqrt{3}}[/tex]

Therefore, the shortest distance from the point to the plane is  [tex]d = \frac{7}{\sqrt{3}}[/tex]

Answer:

could you say the whole question?

Step-by-step explanation:

thanks alot

The given equation is not defined in the interval [tex]\left[\dfrac{\pi}{3},\pi\right][/tex]. Therefore, FTC2 is not applied and this can be determined by using the property of the trigonometric function.

Given :

Equation  --  [tex]\rm \int^{\pi}_{\pi/3}7\;sec\theta\; tan\theta \;d\theta[/tex]

The following steps can be used in order to determine what is wrong with the given equation:

Step 1 - Write the given equation.

[tex]\rm \int^{\pi}_{\pi/3}7\;sec\theta\; tan\theta \;d\theta[/tex]

Step 2 - In the given equation [tex]\rm sec\theta[/tex] is not defined at [tex]\theta = \pi/2[/tex].

Step 3 - In the given equation [tex]\rm tan\theta[/tex] is not defined at [tex]\theta = \pi/2[/tex].

Step 4 - From the above steps, it can be concluded that the given equation is not defined in the interval [tex]\left[\dfrac{\pi}{3},\pi\right][/tex]. Therefore, FTC2 is not applied.

For more information, refer to the link given below:

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Answer:

Step-by-step explanation:

y - 2 = 4(x - 1)

y - 2 = 4x - 4

y = 4x - 2

Answer:

r = nT-n

Step-by-step explanation:

Step-by-step explanation:

T = 1 + r/n

T-1 = r/n

n(T-1) = r

nT-n = r

Answer:

r = nT-n

1. -1

2. 7

3.-8

i hope these are the answers

Answer:

-1,7, - 8

Step-by-step explanation:

-9 +8 =-1

8 +(-1)=7

-6 +(-2)=-8

Answer:

7 19/24

Step-by-step explanation:

Add. That is your answer.