which expression is equivalent to 4 square root 6 divided by 3 root 2

Answer:

106 + 130 + 149 + 192 + 118 + 168 =

863 total students

192 + 118 + 168 = 478 sophomores

P(sophomore) = 478/863

= about .5539

The probability that a randomly chosen student was a sophomore is approximately [tex]\(0.5538\)[/tex] .

To find the probability that a randomly chosen student was a sophomore, we need to calculate the total number of students and the total number of sophomores. Then we use the probability formula:

[tex]\[ P(\text{Sophomore}) = \frac{\text{Number of Sophomores}}{\text{Total Number of Students}} \][/tex]

Step-by-Step Calculation

1. Number of Freshmen:

- A's: 106

- B's: 130

- C's: 149

Total Freshmen:

[tex]\[ 106 + 130 + 149 = 385 \][/tex]

2. Number of Sophomores:

- A's: 192

- B's: 118

- C's: 168

Total Sophomores:

[tex]\[ 192 + 118 + 168 = 478 \][/tex]

3. Total Number of Students:

[tex]\[ 385 + 478 = 863 \][/tex]

4. Probability Calculation:

[tex]\[ P(\text{Sophomore}) = \frac{478}{863} \][/tex]

Let's calculate this probability and round to 4 decimal places:

[tex]\[ P(\text{Sophomore}) \approx \frac{478}{863} \approx 0.5538 \][/tex]

The function for the reflection across the y-axis can be written as: f(x,y)=(−x,y)

To reflect a point across the y-axis, we multiply its x-coordinate by -1. This means that if a point has coordinates (x,y), its reflection across the y-axis will have coordinates (−x,y).

We can use this to define a function for the reflection across the y-axis. Let f(x,y) be the function that reflects a point across the y-axis. Then, for any point (x,y), we have:

f(x,y)=(−x,y)

In other words, f(x,y) takes a point (x,y) and returns its reflection across the y-axis.

We can also write this function in terms of components. Let x and y be the coordinates of a point. Then, the reflection of this point across the y-axis has coordinates (−x,y). Therefore, the function for the reflection across the y-axis can be written as:

f(x,y)=(−x,y)

This function takes the coordinates of a point as input and returns the coordinates of its reflection across the y-axis as output.

Answer:

C) 360π

Step-by-step explanation:

Note the formula for the volume of Cylinder:

V(olume) = πr²h

π = 3.14

r = radius

h = height of the cylinder

V = (3.14)(6²)(10)

Simplify. First, solve the power, then multiply

V = (3.14)(36)(10)

V = 3.14 * 360

V = 1130.97

However your answer choices all shows π, so just back track a bit.

V = 360π is your answer, or C).

~

Answer:

360π

Step-by-step explanation:

formula for finding the volume of a cylinder is

πr²h

3.14 x 6² x 10 =1130.4

you take the answer you get and divide it to the pi to get the pie answer

1130.4/3.14 = 360π

      Hope this helps and if it does mark as branliest answer thx

Answer:

option is c)

Step-by-step explanation:

the answer is option is c) PCM programming device.

The device shown in the figure shows is  PCM programming device.

PCM programming device is powertrain control module which is used as the mini computer in the cars.

It is used to improve the performance of car.

It is also used to fix the negative bug in the car which can effect the performance of the car.

Answer:

[tex]-\underbrace{4\times4\times4\times4\times4\times4\times4\times4}_{8}=-4^8[/tex]

The guy below is correct!

Answer:  d) No solution.

Step-by-step explanation:

Given the equation:

 [tex]\frac{3}{2}=\frac{3x}{2x}-\frac{6}{5x}[/tex]

The denominator of the fractions cannot be zero, then, the Domain is:

[tex]x\neq 0[/tex]

Simplify:

 [tex]\frac{3}{2}=\frac{3}{2}-\frac{6}{5x}[/tex]

Subtract [tex]\frac{3}{2}[/tex] from both sides of the equation. Then you get:

[tex]\frac{3}{2}-(\frac{3}{2})=\frac{3}{2}-\frac{6}{5x}-(\frac{3}{2})\\\\0=-\frac{6}{5x}[/tex]

Multiply both sides of the equation by [tex]5x[/tex] ([tex]5x \neq 0[/tex]), then:

[tex](5x)(0)=(-\frac{6}{5x})(5x)[/tex]

Since the multiplication of [tex]5x[/tex] by zero is zero, you get:

 [tex]0=-6[/tex]  (This is FALSE)

Therefore, since there is no value for the variable that makes the equation true, the equation has NO SOLUTION.

Answer:

CORRECT ANSWER IS 1/5

Step-by-step explanation:

Answer:

Find the attached

Step-by-step explanation:

The inequality;

x ≤ 18

represents values of x that are at most 18. That is values that are less than or equal to 18. We can first graph the vertical line x = 18 and then shade the region to the left of this line. This shaded region will be our solution set for the inequality x ≤ 18.

Find the attached;

Answer:

The answer is 4.

Step-by-step explanation:

8/3 ÷ 2/3 = 8/3 x 3/2 = 4

4

Change this to multiplication by flipping the second fraction to [tex]\frac{3}{2}[/tex].

Multiply the numerators.  [tex]8*3=24[/tex]

Multiply the denominators. [tex]3*2=6[/tex]

Simplify.  Divide 24 by 6. [tex]\frac{24}{6} = 4[/tex]

You're right. It is D All real numbers

There are no restrictions to the value of x

The domain of the given function is "All real numbers". So, option D is correct.

The given function is f(x) = 2×[tex](\frac{1}{10})^x[/tex]

Since this function has the variable x in the exponent, this is an exponential function.

So, its inputs are of all real numbers. And the domain is {x:x ∈ R}.

Thus, option D is true.

Learn more about the domain and range of a function here:

https://brainly.com/question/1942755

#SPJ2

Answer:

c: g(x) is shifted 3 units to the right and reflected over the x-axis

Answer: Option D

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

If we have a function f(x) and make a transformation of the form:

[tex]g (x) = f (x + h)[/tex]

Then it is true that:

If [tex]h> 0[/tex] the graph of g(x) is equal to the graph of f(x) displaced h units to the left

If [tex]h<0[/tex] the graph of g(x) is equal to the graph of f(x) displaced h units to the right

Also if we have a function f(x) and perform a transformation of the form:

[tex]g (x) = -f (x)[/tex]

Then it is true that:

The graph of g(x) is equal to the graph of f(x) reflected on the x axis.

In this case [tex]f (x) = x ^ 4[/tex] and [tex]g (x) = -(x + 3) ^ 4[/tex]

So

[tex]g(x) = -f(x+3)[/tex]

Then [tex]h = 3> 0[/tex]. Therefore the graph of g(x) is equal to the graph of f(x) displaced 3 units to the left and reflected on the x axis

The answer is the option D

Answer:

y=4x-3

Step-by-step explanation:

Answer: It would be y=4x-3

Step-by-step explanation:

The format this is under is called slope intercept and we have our slope which is 4 and the Y-Intercept of -3. So the equation for this is y=mx+b and m is your slope and b is your y intercept always. Hope this helps :)

1.

[tex]

2\sqrt{4}\cdot3\sqrt{8} \\

2\cdot3\sqrt{4\cdot8} \\

6\sqrt{32} \\

6\sqrt{4^2\cdot2} \\

6\cdot4\sqrt{2} \\

\boxed{24\sqrt{4}} \\

[/tex]

2.

[tex]

2\sqrt{4}+3\sqrt{8} \\

\boxed{4+3\sqrt{8}}

[/tex]

Hope this helps.

r3t40

Answer:

C) 33%

Step-by-step explanation:

To solve for the percentage of success, we first need to find out how many numbers we are working with. In this case, there are 9 numbers (0,1,2,3,4,5,6,7,8).

Since there are 3 "successful" numbers, (0,1,2), we can write the probability as a fraction

3/9 (represents number of successes over number of possible outcomes)

This simplifies to be 33%

Answer:

C

Step-by-step explanation:

Since you include zero as a number, then it would be 9 numbers in all. 3 if the nine numbers are success, so it would be 3/9. 3/9 as a percent would be around 33 percent.

Answer:

The correct answer is option A 43°

Step-by-step explanation:

From the figure we can see a triangle and two exterior angles are given.

To find the value of p

Here we consider two angles be <1 and < 2, where <1 is the linear pair of angle measures 90° and <2 be the linear pair of angle measures 133°

m<1 = 180 - 90 = 90° and

<2 = 180 - 133 = 47

By using angle sum property

m<1 + m<2 + p = 180

p = 180 - (m<1 + m<2)

 = 180 - (47 + 90)

 = 180 - 137

 = 43°

Therefore the correct answer is option A 43°

Answer:

24

Step-by-step explanation:

x + x + 1 = 49

x + x = 2x = 48

x = 48 ÷ 2 = 24

Answer:

64,800 cars

Step-by-step explanation:

45 cars times 60 = 2700 cars per hour

2700 times 24 hours = 64,800 cars per day

64,800

Basically i put into the calculator 45 times 60 then that times 24 and thats how i got 64,800.

Shari did not ride the bus to work.

Answer:

Shari did not ride the bus to work.

Step-by-step explanation:

Shari rode the bus to work. What is the negation of this statement?

Negation of a statement means putting a 'not' in the sentence, to make it overall negative.

So, here, the negation of the above given sentence is -

Shari did not ride the bus to work.

Answer:  The required percentage is 33.02%.

Step-by-step explanation:  Given that a bookstore owner is having a sale. The book Bart wants was originally priced at $14.99 the book is now $10.04.

We are to find the percentage by which the price was reduced.

The price by which the price of the book reduced is given by

R.P. = $(14.99 - 10.04) = $4.95.

Therefore, the percentage by which the price of the book reduced is given by

[tex]P=\dfrac{4.95}{14.99}\times 100\%\\\\=33.02\%[/tex]

Thus, the required percentage is 33.02%.

The price of the book was reduced by approximately 33.02% from its original price of $14.99 to the sale price of $10.04.

The student asked by what percentage the price of a book was reduced from its original price of $14.99 to its sale price of $10.04.

To calculate the percentage decrease, we subtract the sale price from the original price and then divide by the original price. We then multiply the result by 100 to get the percentage.

Here's the step-by-step calculation:

Therefore, the price of the book was reduced by approximately 33.02%.

Answer:

D=(-infinity, +infinity)

R=(-infinity,  4]

Step-by-step explanation:

I think that 2 is an exponent so you function is f(x)=-3(x-5)^2+4

So if this is the case this is a parabola open down when a vertex of (5,4).

Visualize or draw a rough picture of that because that is all you need to answer this question.

The domain for a parabola function is always all real numbers (do notice I said parabola function).

The range for this parabola is (-infinity, 4]  since open down and the highest point has y value 4.

Answer:

D.

Step-by-step explanation:

Domain: (-infinity, +infinity)

Range: (-infinity, 4)

[tex](x-8)^2(x+7)>0 \\x\in(-7,8)[/tex]

Answer:

Step-by-step explanation:

A.

2.3y + 2 + 3.1y = 4.3y + 1.6 + 1.1y + 0.4              combine like terms

(2.3y + 3.1y) + 2 = (4.3y + 1.1y) + (1.6 + 0.4)

5.4y + 2 = 5.4y + 2              subtract 5.4y from both sides

2 = 2   TRUE → infinitely many solutions

B.

32x + 25 - 21x = 10x          combine like terms

(32x - 21x) + 25 = 10x

11x + 25 = 10x           subtract 11x from both sides

25 = -x       change the signs

-25 = x → x = -25   One solution

C.

1/3 + 1/7y = 3/7y              subtract 1/7y from both sides

1/3 = 2/7y             multiply both sides by 7

7/3 = 2y      divide both sides by 2

7/6 = y → y = 7/6       One solution

D. ?

Answer:

4

Step-by-step explanation:

16 cups = 4 quarts

Please mark brainliest and have a great day!

Answer:

4 quarts

Step-by-step explanation:

We are given that a container of fruit punch serves 16 cups and we are to find the number of quarts that are in a container.

For this, we will use the ratio method.

We know that, 1 cup = 0.25 quarts, so:

[tex] \frac { 1 cup } { 1 6 cups } = \frac { 0 . 2 5 quarts } { x } [/tex]

[tex] x = 1 6 \times 0 . 2 5 [/tex]

[tex]x=4 quarts[/tex]

Therefore, there are 4 quarts of fruit punch in the container.

Answer:

I believe the answer is C. 36

Step-by-step explanation:

Because a perfect square is everything that equals the same number

Ex: all of the sides of a square is 6, you can't do that with any of the other numbers.

Hope my answer has helped you!

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Calculate the scale factor as the ratio of the corresponding sides of the image to the original.

corresponding sides are image 0.5 and original 2.5

scale factor = [tex]\frac{0.5}{2.5}[/tex] = [tex]\frac{1}{5}[/tex] = 0.2

Answer: A. True.

Step-by-step explanation:

Considering the given figure,

Given : ∠ABD ≅ ∠CBD

In Δ ABD and Δ CBD , we have

∠ABD ≅ ∠CBD             [given]

∠A≅ ∠C ≅90°             [right angle]

BD ≅ BD                      [Reflexive property]

⇒ Δ ABD ≅ Δ CBD

⇒ AD=CD           [By CPCTC]

CPCTC is property of congruent triangle that means that Congruent parts of congruent is congruent.

Hence, the correct answer is "True".

Answer:

SD = 17.1 miles

Step-by-step explanation:

In order to find the SD we have to calculate mean first

So,

[tex]Mean = \frac{sum}{no.\ of\ items} \\=\frac{25+40+35+25+40+60+75}{7}\\ =\frac{300}{7}\\ =42.86[/tex]

Now mean will be subtracted from each value and the answers will be squared

So,

X            X-mean          (X-mean)^2

25           -17.86            318.9796

40            -2.86             8.1796

35             -7.86            61.7796

25            -17.86            318.9796

40             -2.86             8.1796

60             17.14             293.7796

75              32.14           1032.9796

So,

Sum of squares = 2042.8572

As SD is the square root of variance

so,

Variance = Sum of squares / number of data values

=2042.8572/7

=291.84

Hence,

[tex]SD = \sqrt{Variance} =\sqrt{291.84} \\=17.083\\to\ the\ nearest\ tenth\\SD=17.1\ miles[/tex]   ..

Answer:

17.1

Step-by-step explanation:

The standard deviation of the miles Henry hiked is 17.1

Answer:

60.3

Step-by-step explanation:

opposite = 14

adjacent = 8

Tan(B) = opposite / adjacent

Tan(B) = 14 / 8

Tan(B) = 1.75

B = tan-1(1.75)

B = 60.3

Answer:

Step-by-step explanation:

let : f(x) = (x²-x+1)/x+1

limf(x) = lim(x²/x) = limx = - -∞   and limf(x) =+ ∞

x → - -∞                                               x → +∞

lim/f(x)/ = ∞       .......  x = 1 is the line asymptote

limf(x)/x = 1

 x → + -∞

lim (f(x) -x ) = -1 .....so y =x -1  is the second line asymptote

x → + -∞

x → 1  

Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

[tex]\sqrt{(x+5)^2+(y-5)^2}[/tex] = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = [tex]\frac{1}{12}[/tex] (x + 5)² ← add 2 to both sides

y = [tex]\frac{1}{12}[/tex] (x + 5)² + 2

or

f(x) = [tex]\frac{1}{12}[/tex] (x + 5)² + 2 → D