Students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey. Preference Male Female TOTAL Prefers dogs 36 20 56 Prefers cats 10 26 36 No preference 2 6 8 TOTAL 48 52 100 Of students in the sample, what fraction were male?

Answer:

14.256

See details below

Step-by-step explanation:

2.7 ³ - 1.6 ³ - 1.1 ³

= (2.7 ³  - 1.1 ³) - 1.6 ³   expand difference of two cubes

= (2.7 - 1.1)*(2.7^2 + 2.7*1.1 + 1.1^2) - 1.6 ³    

= 1.6*(2.7^2 + 2.7*1.1 + 1.1^2) - 1.6 ³    factor out 1.6

= 1.6*(2.7^2 - 1.6^2 + 2.7*1.1 + 1.1^2)    expand difference of two squares

= 1.6*( (2.7 - 1.6)*(2.7 + 1.6) + 2.7*1.1 + 1.1^2)

= 1.6*( 1.1*4.3 + 2.7*1.1 + 1.1^2)    factor out 1.1

= 1.6*1.1* ( 4.3 + 2.7 + 1.1)

= 1.6*1.1*8.1    rearrange

= 1.6 * 8.1 * 1.,1

= 16 * 0.81 * 1.1

= (4*0.9)^2 * 1.1

= 3.6^2 * 1.1  

= 12.96 * 1.1              36*36=1296

= 14.256    

(to multiply by 1.1, mentally start from the right, add the left digit, carry if necessary)

Answer: 1093 yards

Step-by-step explanation:

There are 1000 meters in a kilometer.  Thus, there are 1.093*1000, or 1093 yards in a kilometer.

Hope it helps <3

Hey there! I'm happy to help!

There are 1,000 meters in a kilometer. If there are 1.093 yards in one meter, we can split this 1,000 meters into groups of 1.093 yards to see how many yards are in a kilometer.

1000÷1.093≈914.913

Therefore, there are about 914.913 yards in a kilometer.

Have a wonderful day! :D

Answer:

(A) I

Step-by-step explanation:

With the numbers, I can correspond to a series of numbers to one of the 26 letters of the English language. Like the Roman numeral system, a number adds if the next one in the sequence is smaller, and vice versa if it is larger. Combining the structure of the Roman numerals with the numbers 1, 2, 5, 10, and 20 makes it so that you never have to use more than 3 numbers to express a letter.

Answer: it is (A)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of side length VY is 4z+2

The same as side length WX

Answer:

[tex]sin\theta = \sqrt{1-C^2}[/tex]

[tex]tan\theta = \dfrac{\sqrt{1-C^2}}{C}[/tex]

[tex]cot\theta = \dfrac{C}{\sqrt{1-C^2}}[/tex]

[tex]sec\theta = \dfrac{1}{C}}[/tex]

[tex]cosec\theta = \dfrac{1}{\sqrt{1-C^2}}[/tex]

Step-by-step explanation:

Given that:

[tex]\theta[/tex] is an angle in a right angled triangle.

and [tex]cos\theta = C[/tex]

To find:

To draw the triangle and write other five trigonometric functions in terms of C.

Solution:

We know that cosine of an angle is given by the formula:

[tex]cosx =\dfrac{Base}{Hypotenuse}[/tex]

Here, we are given that [tex]cos\theta = C[/tex] OR

[tex]cos\theta = \dfrac{C}{1}[/tex]

i.e. Base = C and Hypotenuse of triangle = 1

Please refer to the right angled triangle as per given statements.

[tex]\triangle PQR[/tex], with base PR = C units

and hypotenuse, QP = 1 unit

[tex]\angle R[/tex] is the right angle.

Let us use pythagorean theorem to find the value of perpendicular.

According to pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]1^{2} = C^{2} + QR^{2}\\\Rightarrow QR = \sqrt {1-C^2}[/tex]

[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta = \dfrac{\sqrt{1-C^2}}{1}\\\Rightarrow sin\theta = \sqrt{1-C^2}[/tex]

[tex]tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan\theta = \dfrac{\sqrt{1-C^2}}{C}[/tex]

[tex]cot\theta = \dfrac{Base}{Perpendicular}\\\Rightarrow cot\theta = \dfrac{C}{\sqrt{1-C^2}}[/tex]

[tex]sec\theta = \dfrac{Hypotenuse}{Base}\\\Rightarrow sec\theta = \dfrac{1}{C}}[/tex]

[tex]cosec\theta = \dfrac{Hypotenuse}{Perpendicular}\\\Rightarrow cosec\theta = \dfrac{1}{\sqrt{1-C^2}}[/tex]

Answer:

c

Step-by-step explanation:

the answer is c becuase i know this que

Answer:

All

Step-by-step explanation:

We can check it by using the Pythagorean theorem.

[tex]a {}^{2} + b {}^{2} = c {}^{2} = {3}^{2} + { \sqrt{27} }^{2} = 6 {}^{2} = 9 + 27 = 36 = 36 = 36 [/tex]

[tex] {a}^{2} + {b}^{2} = c {}^{2} = {8}^{2} + {15}^{2} = {17}^{2} = 64 + 225 = 289 = 289 = 289[/tex]

[tex]a {}^{2} + b {}^{2} = c {}^{2} = 5 {}^{2} + {5}^{2} = { \sqrt{50} }^{2} = 25 + 25 = 50 = 50 = 50 = [/tex]

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

Given the revenue of selling a new video game modeled by the equation f(x)=-3x² + 21x + 54 where x is the price of the game and y is the revenue, to calculate the price of game x that would result in no revenue, we will set the revenue f(x) to be zero and then solve the resultinf equation.

at f(x) = 0;

0 = -3x² + 21x + 54

0 = -x² + 7x + 18

Multiplying through by minus sign

x² - 7x - 18 = 0

Factorizing the resulting expression;

x² - 9x+2x - 18 = 0

(x² - 9x)+(2x - 18) = 0

x(x-9)+2(x-9) = 0

(x-9)(x+2) = 0

x-9 = 0 and x+2 = 0

x = 9 and -2

Neglecting the negaive value of x;

x = 9

Hence, the price of the game, x, that would result in no revenue is 9.

Answer:

divide the number by 8 and write the remainder like this 10 r 5.Then you get your answer by going through the remainders in an upward direction. So the answer is 125

Answer:

The number of deliveries that are predicted to be made to homes during a week with 50 deliveries to business is 87 deliveries

Step-by-step explanation:

The data categorization are;

The number of home deliveries = x

The number of delivery to businesses = y

The line of best fit is y = 0.555·x + 1.629

The number of deliveries that would be made to homes when 50 deliveries are made to businesses is found as follows;

We substitute y = 50 in the line of best fit to get;

50 = 0.555·x + 1.629 =

50 - 1.629 = 0.555·x

0.555·x = 48.371

x = 48.371/0.555= 87.155

Therefore, since we are dealing with deliveries, we approximate to the nearest whole number delivery which is 87 deliveries.

Answer:87

Step-by-step explanation:

Answer:  The last choice is correct. Edna can score 5 times as many points in the next level as in the level she has reached

Step-by-step explanation:    chart of values  for [tex]y= 5^{x}[/tex]  

x is the level   y, points possible)

x    y

1     5

2   25

3   125

4    625

5    3125

You can see the exponential pattern

For what it's worth, two views of the graph of the equation are attached

The point values are astronomical!

Answer:

Jen needs approximately 8 tiles to cover the kitchen floor

Step-by-step explanation:

What we want to calculate here is the number of tiles needed to cover the kitchen floor.

The first thing we need to do here is to calculate the area of the kitchen floor.

Mathematically, that would be the product of the length of the kitchen floor and the length of the width.

That is; 4 5/6 * 5 = 29/6 * 5 = 145/6 m^2

Now, to calculate the number of tiles needed, we only need to divide the area of the kitchen floor by the area of the individual tiles

Mathematically, that would be;

145/6 ÷ 3 = 145/6 * 1/3 = 145/18 = 8.05556

This is approximately 8 tiles

Answer:

a) point (2, 1) is when the ball is on it's way down at 2 seconds

b) vertex (1, 2) is the highest the ball goes, which is 2 at 1 second.

c) y-intercept (0, 1) at time zero the ball is starting at a height of 1.

d) Points (0, 1) and (2, 1) are the points at which the ball starts and when it is in the same position from the ground as when it started, which is 1.

e) zero (x-int) is when the ball hits the ground at 2.5 seconds.

Step-by-step explanation:

Answer:

See below

step by step explanation

A. (2 , 1 ) is point on the parabola . It represents that the height of the ball after 2 second have passed.

b. The vertex is at ( 1 , 2 ) . It represent that the maximum height of the ball which is 2 units to at t = 1 second

c. The y - intercept is ( 0 , 1 ) . It represent that the initial height of ball at t = 0 second is 1 unit.

d. Point ( 0 , 1 ) and ( 2 , 1 )

This point represent the set of point having equal height at two different time. It represents how long before the ball reaches the same height from the starting point.

e. The zero or x - intercept is ( 2.5 , 0 )

It represent the time taken by ball before it reaches the ground.

Hope this helps...

Best regards!!

Answer:

The equation of a circle centered in the point (a, b) and with a radius R.

(x - a)^2 + (y - b)^2 = R^2

Then, if you move the circle to the left, then you are decreasing the value of b.

Where b = 0 means that the center of the circle lies on the y-axis.

When you move the graph to the right you will be increasing the value of b.

Answer:

The variable h changes as the center of the circle moves horizontally. The sign of h is negative when the center is to the left of the y-axis and positive when it is to the right of the y-axis. The sign of the variable h flips when the center moves across the y-axis.

Step-by-step explanation:

plato answer from Equation of a Circle: Tutorial :)

This link will take you to a quizlet that is on this lesson with the other answers and test question answers!!

https://quizlet.com/519491317/geometry-b-unit-7-flash-cards/#:~:text=Move%20the%20center%20of%20the%20circle%20vertically%20so%20it%20lies,of%20the%20circle%20moves%20vertically.

Answer:

44 degrees

Step-by-step explanation:

Since MN is a tangent, it forms a right angle wheng it intersects line MP since MP is the diameter. So, 90+46 is 136 and since there are 180 degrees in a traingle, 180-136 is 44.

Hope this is helpful! :)

The answer is 44 degrees.

:D

Answer:

27 - c

Step-by-step explanation:

less than means it comes after and is subtraction

27 - c

Answer:

27-c

Step-by-step explanation:

It is 27-c because it says c less than 27. If it was subtract 27 from c, it would be c-27. but its not

Answer:

2nd option: the lowest point on the graph is (-2, -2). this is where both sides of the parabola converge. from this point, both lines go up. this means the vertex is a minimum.

Answer:

choices A, B, and D are all true

choice C is false

Step-by-step explanation:

Choice A is true because both functions shown on the graph have exactly one asymptote at about y=1.

Choice B is true because well, the reason Choice C is not true.  logarithmic graphs and exponential graphs look very similar.  However, exponential graphs get very close to the x-axis but never actually touch it.  In this graphing, the blue function crosses the x-axis, so it cannot be an exponential function.  The only other function that has graphs that look like this is a logarithmic function, so Choice B is correct and Choice C is not correct.

Once again, Choice C is not correct because the blue graph crosses the x-axis and exponential functions never actually touch the x-axis no matter how close they get to it.

Choice D is correct because the red graph has been reflected over the x-axis and shifted upward, and the blue graph has been reflected across the y-axis and shifted to the right.

Answer: kindly check explanation

Step-by-step explanation:

A) The sample is a fraction of the total population used in the study.

The sample is 1000 19 years of age or older U.S adult.

The population : all U.S adults aged 19 or older.

B.) Confession about bringing cell phone to the bathroom and it is a qualitative variable

C.) point estimate (p) :

Total number of sample = 1000

Number who confessed to bring cellphone = 241

p = 241/ 1000

= 241/1000 = 0.241

D.) The point estimate was deduced from the sample information and not the population. Random selection because selection is unbiased.

E.) 95% confidence interval (CI)

95% CI = (1 - 0.95) = 0.05

For a two-tailed test : 0.05 / 2 = 0.025

Z - score = 1.96

Error : (√[p(1 - p) / n])*z

1.96 * √0.241(1-0.241)/1000

1.96* √0.000182919

1.96 * 0.0135247

= 0.0265085

Boundary :

(0.241 - 0.0265085), (0.241 + 0.0265085)

(0.2144915, 0.2675085)

F) The sample can be said to be representative of the total population since the sampling was performed and participants were chosen at random.

Answer: f(x) = -3x^2 + 3x - 2

Explain: x of vertex: [tex]x[/tex] = [tex](-\frac b{2}{a} )[/tex]  = [tex]-\frac{3}{-6} = \frac{1}{2}[/tex]

y of vertex: y = [tex]f (\frac{1}{2} ) = - \frac{3}{4} + \frac{3}{2} -2=-\frac{5}{4}[/tex]

y-intercept: y = -2

x-intercept: y = 0

D = b[tex]^[/tex]^2 - 4ac = 9 - 24 = - 15 <0. There are no real roots (no x-intercepts) because D<0.

Since a <0, parabola opens downward. The parabola is below the x-axis

Answer:

0.9

I guess.

If yes

.. Follow me..

Answer:

158

Step-by-step explanation:

The sequence is 3, 8, 13, ..., 253.

Going backwards, it's 253, 248, 243, ..., 3.

First term is 253, common difference is -5.

The nth term is:

a = 253 − 5(n − 1)

The 20th term is:

a = 253 − 5(20 − 1)

a = 158

Answer:

Step-by-step explanation:

[tex] {x}^{2} + 3x - 54[/tex]

Write 3x as a difference

[tex] {x}^{2} + 9x - 6x - 54[/tex]

Factor out x from the expression

[tex]x(x + 9) - 6x - 54[/tex]

Factor out -6 from the expression

[tex]x(x + 9) - 6(x + 9)[/tex]

Factor out x+9 from the expression

[tex](x + 9)(x - 6)[/tex]

Hope I helped!

Best regards!

Answer:  (x + 9)(x - 6)

Step-by-step explanation:

x² + 3x - 54      Find 2 numbers whose product is -54 and sum is +3

               ∧

            -1 + 54

            -2 + 27

            -3 + 18

            -6 + 9 = +3   This works!

Place those digits in the parentheses and it is now factored.

(x - 6)(x + 9)

Answer:38

Step-by-step explanation:multiple

Answer:

The correct answer is C. The 4th term is 11.

Step-by-step explanation:

Since the next term is one more than twice the previous, we can calculate it by the following expression:

[tex]a_{n} = 2*a_{n-1} + 1[/tex]

So the second term is:

[tex]a_2 = 2*\frac{1}{2} + 1\\a_2 = 2[/tex]

The third term:

[tex]a_3 = 2*2 + 1\\a_3 = 5[/tex]

And the fourth term:

[tex]a_4 = 2*5 + 1\\a_4 = 10 + 1 = 11[/tex]

The correct answer is C. The 4th term is 11.

Answer: The area of land =108 m²

Step-by-step explanation:

In the given piece of land is in the shape of a parallelogram.

Diagonals divide it into 2 equal parts.

So, area of parallelogram = 2 x (Area of triangle with sides 12m and 9 m and  15 m)

Heron's formula :

Area of triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]s=\dfrac{a+b+c}{2}[/tex]

Let a= 12 , b= 9 and c = 15

[tex]s=\dfrac{12+9+15}{2}=18[/tex]

Area of triangle = [tex]\sqrt{18(18-12)(18-9)(18-15)}[/tex]

[tex]=\sqrt{18\times6\times9\times3}=\sqrt{2916}=54\ m^2[/tex]

Then, area of parallelogram= 2 x 54 = 108 m²

Hence, the area of land =108 m²

Explanation:

We have the general slope intercept form y = mx+b. All we do is replace m with the given slope 1/4, and replace b with the y intercept -1.

So we have y = mx+b turn into y = (1/4)x+(-1) which simplifies to y = (1/4)x-1.

Answer:

1.67years

Step-by-step explanation:

in one it increases by 1.1% of 7.1 billion

=7.81 million

dat is it increases 7.7181 billion in 1 year

it reaches 12 billion in x years

therefore x years = 12 billion/ 7.7181 billion

= 1.67 years

don't forget to tag me as brainliest answer

Answer:

22

Step-by-step explanation:

Since the mean of the set is 11, the sum of the integers in the set must be 11 * 5 = 55. The median must be the 3rd integer, therefore the 3rd integer is 9. Since 9 > 7 and there are only 2 integers less than the median, the 1st and 2nd integers must be 7 and 7 because 7 is the mode. This leaves the last two integers to have a sum of 55 - (9 + 7 + 7) = 32. In order for the last integer (the greatest one) to have the largest value, the fourth integer must be as small as possible. Therefore, the fourth integer is 10 (it can't be 9 because 7 is the only mode) which makes the answer 32 - 10 = 22.

the VAT is equal to

1800 × 13/100

Rs. 234

selling price with VAT

1800 + 234

Rs. 2034