A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students answered that their favorite subject was Social Studies, 50 of which were boys. Forty girls answered that their favorite subject was Math while 25 boys answered English. The marginal frequency of students answering science is 0.1214. The probability that a student who answered science was a girl is 0.667.

5, 10, 20, 25, 30, 45, 50, 52, 70
Use the numbers above to complete a two-way frequency table. Numbers may be used more than once or not at all

There are 24 students in the class. Take 2/3 of this to get (2/3)*24 = 16

A more detailed step by step would be

(2/3)*24 = (2/3)*(24/1) = (2*24)/(3*1) = 48/3 = 16

The result 16 is smaller than the original number 24. This is expected because 2/3 is smaller than 1. The key thing here is that the result 16 is a whole number.

You can think of 2/3 as the approximate percentage 66.7%, so you're applying roughly 66.7% to the entire class to get 16 people who like hip hop.

It appears you're thinking in reverse when you went from 24 to 36, because 2/3 of 36 is 24, but not the other way around. Keep in mind there are 24 students total in the class, and we can't go higher than this. We can't say there are 36 people who like hip hop.

So to answer the question, yes it is possible Gertrude's survey is correct because 2/3 of 24 is a whole number.

Answer:

$2.72

Step-by-step explanation:

If the price decreased by 20%, the final price will be 100% - 20% = 80% of the inicial price.

So, we can write the ratio box:

                              Old value      New value

Percent value:       100%             80%

Value:                    $3.40             X

Then we can solve with a rule of three:

100% -> $3.40

80% -> X

X = 0.8 * 3.4 = $2.72

Answer:

The cost after the 20% decrease is $2.72

Step-by-step explanation:

Here, we are trying to calculate the cost of a 10-minute call before there was a decrease in the amount charged for the call.

We proceed mathematically as follows,

To calculate percentage decrease, we can employ the formula;

(old value- new value)/old value * 100%

Here our old value or cost was $3.40 and the percentage decrease is 20%

we plug these values;

Let the new cost it value be x

(3.4-x)/3.4 * 100 = 20

100(3.4-x) = 20 * 3.4

340 - 100x = 68

100x = 340 -68

100x = 272

x = 272/100

x = $2.72

Answer:

r = 6

Step-by-step explanation:

The equation is 3r + 18=6 + 5r. First, you have to get the coefficient on one side because it will be easier to solve. In order to do so, I subtract 3r from both sides. The equation is now 18=6 + 2r. The next step is to get the constant which is 6 to the left side. You subtract 6 from both sides. You are left with 12=2r. All you have to do now is to get r alone. In order to do that you have to divide both sides by 2. The answer would be 6. Hope you find this helpful!

Answer:

  15

Step-by-step explanation:

Write an equation expressing the given relationship. Solve it to find the numbers.

__

Let x represent "another number." Then the number I'm thinking of is ...

  (3x -3)

and the product of that and "the other number" is 90:

  x(3x -3) = 90

  x(x -1) = 30 . . . . . . divide by 3

We know the factors of 30 are ...

  30 = 30·1 = 15·2 = 10·3 = 6·5

Of these factor pairs, the numbers that differ by 1 are 6 and 5. "The other number" is 6, and "my number" is 90/6 = 15.

My number is 15.

Answer:

The answer is [tex]6a^2[/tex].

Step-by-step explanation:

Solve:

[tex](-2a)(-3a)[/tex]

Multiply [tex]a[/tex] and [tex]a[/tex] :

[tex](-2a)(-3a)[/tex]

[tex]-2a^2(-3)[/tex]

Multiply [tex]-2[/tex] and [tex]-3[/tex] :

[tex]-2a^2(-3)[/tex]

[tex]6a^2[/tex]

So, the final answer is [tex]6a^2[/tex].

Answer:

[tex]672m^2[/tex]

Step-by-step explanation:

[tex]A=2(wl+hl+hw)=2*(12*12+8*12+8*12)=672m^2[/tex]

Answer:

Step-by-step explanation:

The given function is

[tex]h(x)=-x^{2} +6x+16[/tex]

Where [tex]x[/tex] is the number of burgers and [tex]h[/tex] the measure of happiness.

To find the maximum burgers needed to reach the maximum happiness, we just need to find the vertex of this function, which is defined as

[tex]V(h,k)[/tex] where [tex]h=-\frac{b}{2a}[/tex], and [tex]b=6[/tex], [tex]a=-1[/tex], replacing these values, we have

[tex]h=-\frac{6}{2(-1)}=3[/tex]

[tex]k=f(3)=-(3)^{2} +6(3)+16=-9+18+16=25[/tex]

Therefore, there are needed 3 burgers to reach the maximum measure of happiness of 25.

Using the maximum function relation, the maximum number of cheeseburgers to be consumed would be 25

Given the function :

The function is maximum at [tex] \frac-{b}{2a}[/tex]

b = 6 ; a = - 1

Hence, we have :

[tex] x = \frac-{6}{2(-1)} = 3 [/tex]

Substitute x = - 3 into the function :

h(-3) = - (3)² + 6(3) + 16

h = - 9 + 18 + 16

h = 25

Therefore, the maximum number of cheeseburgers to be tanken would be 25

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Answer:

Pls mark me brainlest i dont know what this is but i can try to do my best

Step-by-step explanation:

pls

Answer:

250 pounds

Step-by-step explanation:

405 ÷ 1.62 = 250pounds

Answer:

£250

Step-by-step explanation:

$405 ÷ 1.62 = £250

Answer:

Step-by-step explanation:

The set C could be generated by an exponential function. The main reason is that exponential functions hava a restricted range, it can't have negative numbers or the number zero, because power can only be equal or greater than 1.

Additionally, for all exponentials, a null exponent gives 1 as an answer, so point (0, 1) is always present in an exponential function.

Therefore, the right answer is C.

The set of ordered pairs could be generated by an exponential function is C. (negative 1, one-half), (0, 1), (1, 2), (2, 4)

An exponential function simply means a relation that's in the form of y = ax².

In this case, the set of ordered pairs could be generated by an exponential function is (negative 1, one-half), (0, 1), (1, 2), (2, 4). It has a restricted range.

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Answer:

5 dozen Donuts

7 dozen bagels

Step-by-step explanation:

5 * 9 = 45

7 * 8 = 56

56 + 45 = 101

Answer: He bought 5 dozen donuts

Step-by-step explanation:

d + b = 12   where d is the number of donuts and b is the number of bagels.

9d + 8b= 101  now solve the two equations using the elimination method

-9d - 9b =-108

9d  + 8b = 101

        -1b = -7

  b = 7

9d + 8(7)= 101

9d + 57 = 101

9d = 45

d= 5

Answer: Idk

Step-by-step explanation:

I really don't know

Answer:

25 cents or $0.25

Step-by-step explanation:

1.25 + 2x = 0.50 + 5x

0.75 = 3x

x = 0.25

Answer:

(x,y)=(5-2y,y), y belongs to all real numbers

Step-by-step explanation:

x=5-2y

3x=15-6y

3(5-2y)=15-6y

15-6y=15-6y

y∈All Real Numbers

(x,y)=(5-2y,y), y∈All Real Numbers

Answer:

The equation has infinite solutions

Step-by-step explanation:

Linear equations can have zero, one or infinite solutions.

If Emma tested two values (3 and 5) for the same equation and they were both true solutions, this means that the equation has more than one solution.

If a linear equation has more than one solution, than the equation has infinite solutions.

Answer:

3(−x+2)(x+7)

Step-by-step explanation:

Factor −3x2−15x+42

−3x2−15x+42

=3(−x+2)(x+7)

Answer:

The length of the hypotenuse is 30 feet

Step-by-step explanation:

Here, we are to calculate the length of the hypotenuse of an iscosceles right triangle.

For the triangle to be isosceles, it means that the opposite and the adjacent are equal in length.

Now, to calculate the value of the hypotenuse, we make use of the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Mathematically;

let’s say the hypotenuse is length h feet

h^2 = {15√(2)}^2 + {15√(2)}^2

h^2 = (225 * 2) + (225 * 2)

h^2 = 450 + 450

h^2 = 900

h = √(900)

h = 30 feet

Answer:

30 feet

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

To solve these problems, you first set up an equation representing the information given.

6x = x² - 27

This turns into a quadratic equation which you need to factor out.

0 = x² - 6x - 27

You want to choose two numbers that multiply to -27, and add up to -6

0 = (x - 9)(x + 3)

If you're unfamiliar with factoring, you take the opposite sign of the number in the parentheses because it's a shortcut when setting it equal to 0.

x = 9, -3

Since it asks for the positive solution only, the answer is x = 9.

I hope this helps!

Answer:

Neither

Step-by-step explanation:

Neither is a perfect square

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

These are perfect squares

Answer:

Step-by-step explanation:

neither 20 nor 24 is perfect square.

[tex]1 \times 1 = 1 \\ 2 \times 2 = 4 \\ 3 \times 3 = 9 \\ 4 \times 4 = 16 \\ 5 \times 5 = 25 \\ 6 \times 6 = 36 \\ 7 \times 7 = 49 \\ 8 \times 8 = 64 \\ 9 \times 9 = 81 \\ 10 \times 10 = 100[/tex]

These are perfect square.

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

1. V= length*width*height

96 = 6.0*3.2*h

96=19.2h divide both sides by 19.2

height =5 cm

2. V=l*w*h

22 = l*2.0*1.1

22=l*2.2

l= 10 cm

3. V= L*w*h

120 = 12.0*w*4.0

120=48*w

w= 2.5 cm

Answer:

5/2 or it's 5/11

Step-by-step explanation:

(-5/6)/-2= 5/12

(5/12)/(1/6) = 5/2

because if your writing it like

[tex](-5/6)/-2\frac{1}{6} = \frac{5}{11}[/tex]

Answer:

0.38461538461

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

For a relation to be a function, one input cannot have multiple outputs.

In D, we can see that the input x = 1 will yield y = 4 and y = 1. So which one is it?

We cannot determine that, so this relation is not a function.

Answer:

25%

Step-by-step explanation:

Answer:

Let the angles be (a-d), a , (a+d)

a-d + a + a + d = 180 (angle sum property)

3a = 180

a = 60

Given:

a+d = 2(a-d)

60 + d = 2(60 - d)

60 + d = 120 - 2d

3d = 120 - 60

d = 20

Angles are : 40 , 60 , 80

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and [tex]\varepsilon>0[/tex], we want to find a [tex]\delta [/tex] such that [tex]|f(x)-14|<\varepsilon[/tex]

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that [tex]|x-5|<\delta[/tex]. Then

[tex]|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta[/tex].

Then, if [tex]|x-5|<\delta[/tex], then [tex]|f(x)-14|<3\delta[/tex]. So, in this case, if [tex]3\delta \leq \varepsilon[/tex] we get that [tex]|f(x)-14|<\varepsilon[/tex]. The maximum value of delta is [tex]\frac{\varepsilon}{3}[/tex].

By definition, this procedure proves that [tex]\lim_{x\to 5}f(x) = 14[/tex]. Note that f(5)=14, so this proves that f is continous at x=5.

Answer:

(32, 16)

Step-by-step explanation:

Since the scale factor is 4, you always multiply both coordinate places (x and y) by this number.

The coordinates of one of the new vertices is (32, 16). Therefore, option D is the correct answer.

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

Given that, rectangle with vertices A(-6, 4), B(8, 4), C(8, -2) and D(-6, -2).

Here, the scale factor is 4

So,

(-6,4)  by a scale factor of 4(-6, 4)=(-24, 16)

(8, 4)  by a scale factor of 4(8, 4)= (32, 16)

(-6, -2) by a scale factor of 4(-6, -2)= (-24, -8)

(8, -2) by a scale factor of 4(8, -2)= (32, -8)

Therefore, option D is the correct answer.

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Answer:

15.94 meters

Step-by-step explanation:

11/0.69 = 15.942.......

Round it to get 15.94

Answer:

t = 66.4 minutes ( to the nearest tenth of a minute)

it would take the element 66.4 minutes to decay to 11 grams

Step-by-step explanation:

Given;

Initial amount N = 510 g

Final amount Nt = 11 g

Half life t(1/2) = 12 minutes

The amount of time t required for the Element X to decay from N to Nt can be written as;

t = ln(Nt/N) ÷ -λ .....1

Where;

λ = decay constant

λ = ln(2)/t(1/2)

Substituting λ, equation 1 then becomes;

t = ln(Nt/N) ÷ -(ln(2)/t(1/2))

Substituting the values;

t = ln(11/510) ÷ -(ln(2)/12)

t = −3.8365 ÷ -0.05776

t = 66.419

t = 66.4 minutes ( to the nearest tenth of a minute)

Answer:

a

Step-by-step explanation:a because its interst7s

Answer:

A.

Step-by-step explanation:

line A never intersects line B