Paul is a year older than his wife and they have two children who are also one year apart. Paul notices that on his birthday in 2011, the product of his age and his wife's age plus the sum of his children's ages is 2011. What would have been the result if he had done this calculation thirteen years before?

Answer: 1080 degrees

Hoped this helped :)

Answer:

The correct option is;

D. Biased

Step-by-step explanation:

A sampling method in which the members of the sample are not representative of the population, such that some members of the population have a higher or lower probability within the sample which is indicative that not all members of the population are sampled

A biased sample is a non random sample and the can lead to misleading data conclusion

In the question, the sampling of student opinion about the school cafeteria among students who are on the lunch line and so prefer the school cafeteria leaves out the portion of the population that get their lunch from alternative sources.

Answer:

biased

Step-by-step explanation:

Answer: V = 24*(x - 4) with the condition x > 4.

Step-by-step explanation:

The volme of a cube/box is equal to:

V = W*L*H

where W = width, L = lenght and H = heigth.

First:

We know that the cubes cut in the corner have a side length of 2.

Then the remaining part is folded up, and this is now the height.

So the height of the box is equal to 2.

Now, we know that the initial measures of the piece of paper are x by 16

But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)

or (x - 4) by 12.

Then the volume of the box is:

V = (x -4)*12*2 = 24*(x -4)

Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.

Answer:

C

Step-by-step explanation:

Answer:

E. 0

Step-by-step explanation:

There isn't any guarantee that there are any people that have their birthdays in the same month based on what you're given, so your answer would be 0.

Answer:

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

Step-by-step explanation:

Since the line needs to be perpendicular to [tex]2x-3y=6[/tex], that means the slope of the line must be the opposite reciprocal. Rearrange the equation [tex]2x-3y=6[/tex]  to solve for the value of y, with variable y on the left side.

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

So, the slope of the line given already is [tex]\frac{2}{3}[/tex]. The opposite reciprocal of this is [tex]-\frac{3}{2}[/tex].

From what information we know so far (the slope) about the equation of the line we are trying to find, we can write a basic equation that allows us to solve for the y-intercept. Use the equation [tex]y=mx+b[/tex], where m is the slope (which we already found) and b is the y-intercept.

[tex]y=-\frac{3}{2}x+b[/tex]

Since we are given a set of coordinate points that the line must pass through, we can substitute (-2, -3) in for x and y in the equation above. Then, solve for the value of b, which is our y-intercept.

[tex]-3=-\frac{3}{2}(-2)+b\\ -3=3+b\\b=-6[/tex]

Now we have all the necessary information to create our equation.

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

Answer:  A.

explanation:just did the test

Answer:

9 years

Step-by-step explanation:

hope it helps the

the explanation is kinda long

Answer:

D: It has reflectional symmetry with one line of symmetry

Step-by-step explanation:

The reason D is the answer is because, the tree has the same sides and if you put a line in the middle of the tree it is identical to the other side.

The image has a reflectional symmetry with one line of symmetry. The correct option is d.

A reflectional symmetric image has at least one line (axis) along which it can be folded or reflected to produce a complementary or identical image on the opposite side. The image is split along this line of symmetry into two equal halves that are mirror images of one another. The reflectional symmetry gives the picture a feeling of harmony and balance.

It is similar to viewing an image through a mirror in that the portion that is reflected is an exact replica of the original. This kind of symmetry is frequently found in many patterns and objects in nature, art and architecture which enhances the overall design's aesthetic appeal and visual interest.

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Answer:   [tex]t_9=\dfrac{1}{2^8}[/tex]

Step-by-step explanation:

[tex]t_n=t_1\times r^{n-1}\\\\Given: t_1=1,\quad r=\dfrac{1}{2}\\\\\\t_9=1\times\bigg(\dfrac{1}{2}\bigg)^{9-1}\\\\\\.\quad =\large\boxed{\dfrac{1}{2^8}}[/tex]

Answer:

HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2.

Answer:

First question: last option

The triangle inequality states that the sum of he two shortest sides of a triangle must be greater than the longest side, therefore the answer is 14, 6, and 9 because 6 + 9  > 14 is a true statement.

Second question: I'm not sure, sorry

Third question: second option

He never specified if 85° was the base angle or not so he could draw 2 triangles: one with 85° as the base angles and one with 85° as the other angle.

Answer:

Step-by-step explanation:

first : Side = 13 cm, side = 6 cm,  side =6  

second : Side = 13 cm and 5 and 8

third: Side = 14 cm, side = 7 cm and 6

forth : 14 cm, side = 6 cm, side = 9 cm

to form a triangle the theory is: a+b>c and b+c>a and a+c>b

first one : a=13 b=6 and c=6 ( not a triangle)

second: a=13 b=5 and c=8 ( not a triangle)

third : a=14,b=7,c=6 (not a triangle)

forth : a=14,b=6,c=9 ( a triangle 14+6>9,6+9>14, and 9+14>6)

Wendy description :Triangle A: All sides have length 9 cm.

Triangle B: Two sides have length 10 cm, and the included angle measures 60°

Triangle C: Two angles measure 50°.

Triangle D: Base has length 8 cm, and base angles measure 45°

triangle A is equilateral triangle all sides are equal it is a special triangle because it has three sides and angles equal.

Triangle C: is not unique because you can not specify triangles by given angles only

Victor is incorrect, because more than one triangle can be drawn with the given information because only two sides are given and the third con be different.

Answer:

Step-by-step explanation:

y> -x+ 2.

The graph of the inequality y > -x + 2 is shown below.

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

y > -x + 2.

To determine which of the graph is correct,

Plot the graph of the given inequality,

The graph of the inequality is shown below.

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Answer:

y = -8

Step-by-step explanation:

Start by filling 8 in place of x

y = 8 - 2(8)

Multiply -2(8)

y = 8 - 16

Subtract 16 from 8

y = -8

Answer:

Step-by-step explanation:

Faktor (x-a) means a is x-intercept

x-10  ⇒  10 is x-intercept

22-x  ⇒  22 is x-intercept

x+10  ⇒  -10 is x-intercept

20+x  ⇒  -22 is x-intercept

so in the graph have to be at least two intercepts <0 and at least two intercepts >0

Answer:

15%

Step-by-step explanation:

Question:

The price of a jacket was slashed from Rs.960 to Rs.816.Then the rate of discount offered is​

Solution

Original price= Rs.960

Discount price= Rs.816

Difference in price=Original price - discount price

=Rs. 960 - Rs. 816

=Rs. 144

Percentage discount= Difference in price / Original price × 100

=Rs. 144 / Rs. 960 × 100

=0.15 × 100

=15%

The percentage discount =15% NOT 10% as you have written

Answer:

Onyango is 48, his daughter is 16 and his son is 12

Step-by-step explanation:

Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:

x + 8 = 12 + (1/3x + 8 + 1/4x + 8)

x + 8 = 7/12x + 28

5/12x = 20

x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12

Answer: (4,2)

Step-by-step explanation: The point where the two lines cross is the solution. In parentheses the first number is the x-value, 4. The second number is the y-value, 2 in this example.

(4,2)

step by step explanation:

the two points join at (4,2) on the graph

first we want to write the point on the x-axis that is 4 and then y-axis that is 2 this two lines join at the point (4,2) so answer is (4,2)

Answer: The volume of the cone is 130 cubic centimeters.

Step-by-step explanation:

We know that to find the volume of a cylinder you will use the formula

V= [tex]\pi[/tex][tex]r^{2} *h[/tex]  Where r is the radius and h is the height.

And to find the volume of a cone you will use the formula

V= [tex]\pi[/tex][tex]r^{2}[/tex]*h /3

So if they have the same dimensions which is the height and the radius then we will just divide the  volume of the cylinder by 3 to find the volume of the cone.

V = 390/3

V =  130 cm^3

Answer:

In 256 ways

Step-by-step explanation:

The number of answer choices will be; 4 * 3 = 12 answer choices

Okay, so per question we have 4 choices

The number of ways we can answer the first question is 4 ways since there are 4 choices

For the second question, 4 ways also

For the third 4 ways

And for the last question, four ways too

So the number of ways to correctly answer the question will be ;

4 * 4 * 4 * 4 = 256 ways

Answer: [tex]45+65x\leq250[/tex] .

Step-by-step explanation:

Given: Cost to operate the forklift  per day = $45

Cost for each crew member per day = $65

Let x be the number of crew members.

Then, we have

Total cost = (Cost to operate the forklift  per day)+(Cost for each crew member per day)×(number of crew members)

= 45+65x

Since, the contractor can spend at most $250.

Then, the required inequality: [tex]45+65x\leq250[/tex] .

Answer:

x=1.75

Step-by-step explanation:

3*2-4x+1=0 subtract 1 from both sides

3*2-4x=-1 multiply 3 and 2

6-4x=-1 Subtract 6 from both sides

-4x=-7 divide both sides by -4

x=1.75

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Answer:

The answer is 2.6 but that's not listed as an option so try 2.5?

Answer:

its D

Step-by-step explanation:

a vertex is the highest point and that's the only point that actually exist in the graph....Hope that helps...

Answer:

The second statement is correct

Step-by-step explanation:

Hello!

The table shows the information of the favorite film genre of the students of the class regarding their gender.

You have to prove which statement is correct:

1)The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.

If you chose a student at random, you need to calculate the probability of its favorite genre being "Drama" (D) and the student being female (F), symbolically: P(D∩F)

To do so you have to divide the number of observed students that are female and like drama by the total number of students:

P(D∩F)= [tex]\frac{24}{240}= \frac{1}{10} =0.10[/tex]

This means that the probability of choosing a student at random and it being a female that likes drama is 10%.

This statement is incorrect.

2) Event F for female and event D for drama are independent events.

Two events are independent when the occurrence of one of them doesn't affect the probability of occurrence of the other one.

So if F and D are independent then:

P(F)= P(F|D)

-or-

P(D)=P(D|F)

The probability of the event "Female" is equal to [tex]P(F)= \frac{Total females in the class}{n} = \frac{144}{240} = \frac{3}{5}= 0.6[/tex]

The probability of the event "Drama" is:

[tex]P(D)= \frac{Total students that like "Drama"}{n}= \frac{40}{240}= \frac{1}{6}= 0.166[/tex]

[tex]P(F|D)= \frac{P(FnD)}{P(D)}= \frac{\frac{1}{10} }{\frac{1}{6} }= \frac{3}{5} = 0.6[/tex]

As you can see P(F)= 0.6 and P(F|D)= 0.6 so both events are independent.

This statement is correct.

3) The probability of randomly selecting a male student, given that his favorite genre is horror, is  16/40

This is a conditional probability, you already know that the student likes horror movies (H), and out of that group you want to know the probability of the student being male (M):

[tex]P(M|H)= \frac{number of male students that like horror movies}{total students that like horror movies}= \frac{16}{38}= \frac{8}{19} = 0.42[/tex]

This statement is incorrect.

4) Event M for male and event A for action are independent events.

Same as the second statement, if the events "Male" and "Action" are independent then:

P(M)= P(M|A)

-or-

P(A)= P(A|M)

[tex]P(M)= \frac{96}{240}= \frac{2}{5}= 0.4[/tex]

[tex]P(A)= \frac{72}{240} =\frac{3}{10}= 0.3[/tex]

[tex]P(AnM)= \frac{28}{240}= \frac{7}{60}= 0.11666[/tex]

[tex]P(M|A)= \frac{P(MnA)}{P(A)}= \frac{\frac{7}{60} }{\frac{3}{10} } = \frac{7}{18}= 0.3888[/tex]

[tex]P(M)= \frac{2}{5}[/tex] and [tex]P(M|A)= \frac{7}{18}[/tex]

P(M)≠ P(M|A) the events are not independent.

This statement is incorrect.

I hope this helps!

Answer:

(6,4)

Step-by-step explanation:

This question asks you to dilate by a factor of 2, and from the origin. Because it is from the origin, we can simply multiply the coordinates of Y by 2

3*2=6

2*2=4

so the result is 6,4

The dilation of the coordinate Y(3, 2) by 2 is  (6, 4). we just have to multiply the y coordinate by 2.

Dilation simply means changing the size of an object without changing its shape.

In other words dilation is a transformation that reudces or enlarges a particular shape.

Therefore, we are asked to dilate the coordinate of y by 2.

Hence, we have to multiply the coordinates of y by 2 to get the new dilated figure.

Dilation of Y by 2 is 2(3, 2) = (6, 4)

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Answer:

346.38022

Step-by-step explanation:

Using Law of Sines, we know that v=50

[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]

Area = ab·sin(C) /2

[34x50xsin(24)]/2

=346.38022

Answer:

i think he/she is right

Step-by-step explanation:

Answer:

The total revenue will decrease.

Step-by-step explanation:

The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.

Hey there! :)

Answer:

$10 balcony

$15 orchestra

Step-by-step explanation:

We can solve for the prices of each seat by creating an algebraic expression:

Let 'x' be the cost of a balcony seat:

and 'x + 5' be the cost of an orchestra seat.

200 of both seats were sold, therefore:

200(x) + 200(x + 5) = 5000

Distribute:

200x + 200x + 1000 = 5000

Combine like terms:

400x + 1000 = 5000

Subtract 1000 from both sides:

400x = 4000

Divide:

x = $10 for the balcony seat.

Substitute this value of x to solve for the cost of an orchestra seat:

(10) + 5 = $15.

Therefore:

$10 balcony

$15 orchestra

Answer:

7√2 cm

Step-by-step explanation:

Aquí, estamos interesados ​​en encontrar la longitud del lado de un cuadrado que tiene una longitud diagonal de 14 cm.

Una diagonal es una línea que se extiende desde un borde del cuadrado hasta el otro borde del cuadrado internamente.

Ahora, una diagonal de un cuadrado junto con dos lados de un cuadrado forman un triángulo rectángulo isósceles, siendo la diagonal la hipotenusa de este triángulo rectángulo.

Sabemos que los lados de un cuadrado tienen la misma longitud y, por lo tanto, llamemos a este lado desconocido x cm.

Matemáticamente, según el teorema de Pitágoras, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los otros dos lados.

Por lo tanto, tenemos;

14 ^ 2 = x ^ 2 + x ^ 2

196 = 2x ^ 2

dividir ambos lados por 2

98 = x ^ 2 x = √98

x = √ (49 * 2)

x = 7√2 cm

Por lo tanto, la longitud del lado del cuadrado es de 7√2 cm