At a graduation dinner, an equal number of guests were seated at each of 12 large tables, and 8
late-arriving guests were seated at a smaller table. There were 128 guests in all. If n represents the
number of people seated at each of the large tables, what equation could you use to find the value
of n?

A. 12n - 8 = 128
B. 12n +8 = 128
C. 8n + 12 = 128
D. 8n - 12 = 128

Answer:

Q.1 49x²- 25y²

= (7x)² - (5y)²

= (7x+5y)(7x - 5y)

Q.2 x²y² - 64

=(xy)² - (8)²

=(xy+8)(xy - 8)

Answer: [tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The total no of beads is 52

there 13-red,13-blue,13-green, and 13-black

favorable outcomes to select a blue bead is 13

Total outcomes are 52

Probability is given by

[tex]P=\dfrac{\text{favorable}}{\text{Total outcomes}}\\\\\Rightarrow P=\dfrac{13}{52}=\dfrac{1}{4}[/tex]

Answer: 1/4

Step-by-step explanation:

Problem 1

With mean = median, the data set is symmetrical. Well it's more accurate to say "roughly symmetrical" due to the phrasing "mean is approximately equal to the median". Using the median as its center is fairly common with many distributions, so there isn't an issue here.

The error is from the phrasing "the quartiles should be used to measure the spread". The quartiles themselves don't measure spread. They are simply single data points and do not tell us the spread. If Ralph said Q3 = 75 is a measure of spread, then he would be incorrect. However, the difference between the third and first quartile will help get the IQR (interquartile range), as described by this equation below

IQR = Q3 - Q1

and this is one tool to measure how spread out data is. The larger the IQR is, the more spread out the data will be.

The IQR is how far of a gap it is from Q1 to Q3. Another tool to measure spread is the standard deviation. Ralph was probably thinking about the IQR when he mentioned the quartiles, but he should be more specific about what he means.

=======================================================

Problem 2

Answer: Skewed left

This is the same as saying "negatively skewed"

---------------

Explanation:

The main cluster of values is on the right side, while a small portion of values are to the left. We consider this the left tail and the left tail is pulled longer compared to the right tail. The further left we go, the shorter the bar and eventually we hit outliers. These much smaller outliers compared to the main cluster pull on the mean to make it smaller than it should be.

One example could be that this curve represents test scores. The majority of the class could get in the range of say 70 to 90. Then there's the unfortunate few outliers who scored much lower (possibly 40 through 60); those outlier scores pull down the mean grade of the class overall.

In short, negatively skewed data indicates that mean < median.

Answer:

[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{3}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{1}[/tex] ║ [tex]L_{3}[/tex]

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b

"m" is slope

"b" is y-intercept (coordinates are (0, b)

Parallel lines have the same slopes and different y-intercepts.

Slopes of perpendicular lines are opposite reciprocals: [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1

~~~~~~~~~~~~~~~~~~~~~~

[tex]L_{1}[/tex] :  y = x + 5 , [tex]m_{L_{1} }[/tex] = 1 , b = 5

[tex]L_{2}[/tex] : y = - x + 7 , [tex]m_{L_{2} }[/tex] = - 1 , b = 7

[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex]

[tex]L_{3}[/tex] : [tex]m_{L_{3} }[/tex] = 1 , b = - 2

[tex]L_{1}[/tex] ║ [tex]L_{3}[/tex] and [tex]L_{2}[/tex] ⊥ [tex]L_{3}[/tex]  

Answer:

Second option: a rectangular prism completely filled with unit cubes

Step-by-step explanation:

If the rectangular prism is completely filled then there are 1) no gaps, 2) no overlaps. It's compact and complete.

Answer:

9ft wide 12ft long

Step-by-step explanation:

Answer:

Hope this will help you.

Answer:

Angle 1

Step-by-step explanation:

When two parallel  lines are crossed by traversal  line, the angles in matching corners are called corresponding angles

Angle 7 and angle 1  are corresponding

Answer:

I think answer is B or C or D

Step-by-step explanation:

Answer:

Impossible

Step-by-step explanation:

How is that even possible

Answer:

47

Step-by-step explanation:

if my answer is right please mark branliest

Answer:37.5 square inches

Step-by-step explanation:

Answer:

Part A:

Since Jasmine has more cousins rhan Brenda, who has 4 cousins, then the amount of cousins that Jasmine has (j) is greater than 4 so j > 4

Part B:

We have a number line and we draw an arrow starting from 4 and going to the right.

Hope this helped!

Answer:

4.8h - 2.3d - 14

Step-by-step explanation:

Answer:

x = 3.53    ( this may not be the exact number because my factoring is rusty)

Step-by-step explanation:

7x/(7x + 3) = (20x - 4)/(22x - 2)

7x(22x - 2) = (20x - 4)(7x + 3)

154x² - 14x = 140x² + 60x -28x -12

combine like terms & reduce:

14x² -46x - 12 = 0

divide by 2 to simplify:

7x² - 23x - 6 = 0

factor:

(7x + 1.7)(x - 3.53) = 0

x = 3.53

Answer:

what?

Step-by-step explanation:

hansnskekkwkwnw

Answer:

X=-2

Step-by-step explanation:

1. Open up the brackets

You then get

6+8x+12=2

2. Send the whole numbers to the other sides

8x= 2-6-12

8x = - 16

3. Divide both sides by 8 to leave x alone

X=-2

Answer:

The kind of error the researcher has done is a;

Type I error

Step-by-step explanation:

When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion

Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection

Answer: 3/5 + 1/4 = 0.85

Step-by-step explanation:

I hope it helps :)

Answer:

[tex] \boxed{ \tt{2.2 \: degrees}}[/tex]

Answer:

¿Qué quieres decir?

Step-by-step explanation:

Answer:

x=[tex]\frac{3B}{4A}[/tex]

Step-by-step explanation:

8xax/bx=6

8ax=6b

8ax/8a=6b/6a

x=3b/4a

Hopefully this makes sense :)

Answer:

Step-by-step explanation:

8/10 = x-1 / x+2

4/5 = x-1 / x+2

4(x+2) = 5(x-1)

4x + 8 = 5x -5

13  = x

there you go :)

Answer:

Step-by-step explanation:

I'll let you solve it, but I will tell you how to

Ever heard of Thales theorem? If you haven't, here's what it is:

If a line parallel to one of the bases of a triangle is drawn, then the new triangle formed and the original triangle are similar

Why? They are similar because of AA (two equal angles):

∠AEB = ∠ADC since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)

∠ABE = ∠ACD since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)

Now this is enough information to determine that they are similar, but just for good measure, ∠A is common to both triangles so:

∠A = ∠A because of reflexive property

Now that we know they are similar, corresponding parts of similar triangles are similar

Create a ratio and solve is by cross-multiplying

Let me know if you have any questions! Hope this helps! Have a nice day/night :)

The length of BC in the figure below of triangle is 24.

We can use the Pythagorean Theorem to solve for the length of BC. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is BC, and the other two sides are AB and AC.

[tex]AB^2[/tex] + [tex]AC^2[/tex] = [tex]BC^2[/tex]

We are given that AB = 16 and AC = 12. Plugging these values into the equation, we get:

[tex]16^2[/tex] + [tex]12^2[/tex] = [tex]BC^2[/tex]

256 + 144 = [tex]BC^2[/tex]

400 = [tex]BC^2[/tex]

BC = 20

Therefore, the length of BC is 20.

Here are the steps in detail:

Identify the right triangle in the figure.

Label the sides of the triangle with the letters A, B, and C, where C is the hypotenuse.

Substitute the known side lengths into the Pythagorean Theorem.

Solve for the length of BC.

To learn more about length here:

https://brainly.com/question/32060888

#SPJ2

Answer:

8 would be A and b would be 4

Answer:

25%

Step-by-step explanation:

There's 3 tablespoons of nuts and 1 tablespoon of berries, so 1/4 tablespoons is berries.

Answer:

To sum up, we looked at the important amount devided by the total amount. Finally we solved for p. Which gave us p=75. Furthermore 75 percent of the trail mix is made up out of berries.

Step-by-step explanation:

So the main equation with percentages is W/G = p/100.

So First we look at G. G describes the total amount. In this case the total amount of teaspoons is four. Four because we have three tablespoons of berries and one tablespoon of nuts. That is four tablespoons.

Now we can go further to find out what W is. 2 is the important amount. In the question we are supposed to look at the amount of berries is the trail mix. Which gives us the value three.

So far our equation has no unknowns anymore 3/4=p/100. We multiply both sides of the equation with 100 3*100/4=p. Thus p = 300/4=150/2=75.

Answer:

If the difference of x and 22=8

then equation is

X -22=8

X=22+8

X=30

therefore now we put the value of x in the equation

30-22=8

8=8

Answer:

x would be 30

Step-by-step explanation:

x-22=8

x=8+22

x=30

Answer:

x=13

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

9x+17 + 3x+7 = 180

Combine like terms

12x +24 =180

Subtract 12 from each side

12x+24-24 =180-24

12x =156

Divide each side by 12

12x/12 =156/12

x=13

Answer: 4188790 cm^3

Step-by-step explanation:

To find Radius of sphere S we multiply 1/5 by 500.

1/5 x 500 = 100

We now have the radius of sphere S. Now we use the formula for a sphere and we get our answer.

4/3 \pi 100^2 = 4188790.205

Answer:

d= s x t

=50km/h x 3h

= 150km/h

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

Please see the attached picture for the full solution.