A square dancing contest has 245 teams of 4 pairs each. How many dancers are participating in the contest?

Solution :

Given :

Equation :

y = 6.3333 x + 53.0298

Here, x = number of hours studied

         y = the exam score

a). To predict the exam score, we have to replace x in the least square regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (2) + 53.0298

      = 65.6964

Thus he predicted exam score is 65.6964

b). The slope is the co-efficient of x in the least squares regression line :

  Slope = 6.3333

 The slope represents the average increase in y as x increases by 1.

  The exam score increases on average by 6.3333 points per hour studied.

c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :

  y = 6.3333 x + 53.0298        

 y = 6.3333 (0) + 53.0298

    = 53.0298

d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (5) + 53.0298

   y = 84.6963

Thus the average exam score of a student who studied 5 hours is 84.6963

Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.

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Answer:

  5/8

Step-by-step explanation:

Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.

  r = 480/768 = (5·96)/(8·96) = 5/8

The common ratio is 5/8.

Answer:

11.7

Step-by-step explanation:

39.1 - 9.2 = 29.9

29.9 - 18.2 = 11.7

Answer:

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

Step-by-step explanation:

[tex](-6p^{3} )(3p^2+5p-1)[/tex]

[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

hope this helps.....

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

Answer:

7 hours and 15 minutes

6 hours hours and 45 minutes

5 hours and 12 minutes

6 hours and 10 minutes

Step-by-step explanation:

MON: 7 1/4 hours

= 7 hours and 1/4 hours

1/4 hours = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

7 1/4 hours = 7 hours and 15 minutes

TUE: 6 3/4 hours

= 6 hours and 3/4 hours

3/4 hours = 3/4 × 60 minutes

= 180/4 minutes

= 45 minutes

6 3/4 = 6 hours hours and 45 minutes

WED: 5 1/5 hours

= 5 hours and 1/5 hours

1/5 hours = 1/5 × 60 minutes

= 60/5 minutes

= 12 minutes

5 1/5 hours = 5 hours and 12 minutes

THU: 6 1/10 hours

= 6 hours and 1/10 hours

1/10 hours = 1/10 × 60 minutes

= 60/10 minutes

= 6 minutes

6 1/10 hours = 6 hours and 10 minutes

Answer:

b. $0.02[tex]/in^3[/tex]

Step-by-step explanation:

Given

[tex]r =1in[/tex]

[tex]h = 10in[/tex]

[tex]Cost_{1pk} =\$3[/tex]

[tex]Cost_{2pk} =\$5[/tex]

Required

The difference in the price per [tex]in^3[/tex]

First, calculate the volume (V) of the cylinder

[tex]V = \pi r^2h[/tex]

[tex]V = 3.14 *1^2 * 10[/tex]

[tex]V = 31.4[/tex]

The unit cost of 1 pack is:

[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]

[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]

The unit cost of 2 packs is:

[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]

The difference (d) is:

[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]

[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]

Take LCM

[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]

[tex]d = \frac{\$1}{62.8in^3}[/tex]

[tex]d = \$0.0159/in^3[/tex]

Approximate

[tex]d = \$0.02/in^3[/tex]

Answer:

b)

Step-by-step explanation:

had it on my quiz also give other dude brainliest.

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

Answer:

No choices listed.

Step-by-step explanation:

Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

Answer:

y=-3x-5

Step-by-step explanation:

(-1, -2) (0, -5)

use slope formula

ΔY = (-5 – -2) = -3

ΔX = (0 – -1) = 1

m = -3

y=mx+b

-5 = -3(0)+b

b = -5

y=-3x-5

Answer:

[tex]\triangle FED\sim \triangle JEH[/tex]

Step-by-step explanation:

Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]

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Answer:

  ΔDEF ~ ΔHEJ

Step-by-step explanation:

The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.

The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...

  ΔDEF ~ ΔHEJ

Answer:

"there is exactly one output for each input" is cotrrect

"the graph of a linear function" is correct

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Option B: [tex]y=-5x-6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]

⸻⸻⸻⸻

We are given the information of:

⸻⸻⸻⸻

[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]

⸻⸻⸻⸻

Option B should be the correct answer.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The answer is C

Hope this helped!

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

Answer:

Step-by-step explanation:

I took the quiz.

But really, the Earth is not that old. just a couple thousand years old.

There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.

Hope this helps and have a great day!

:)

Answer:

A. Quaternary

Step-by-step explanation:

Answer:

Given function:

Fill in the table by substituting the value of x:

The graph is attached

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Answer:

  40

Step-by-step explanation:

The "initial value" is the value when x=0.

  [tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]

The initial value is 40.

Answer:

The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive

Answer:

yes, i think it is correct :)

Step-by-step explanation:

Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Answer:

10

Step-by-step explanation:

Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10

Answer:

B and C

Step-by-step explanation:

If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)

If you take the greatest common factor then it could be factored to 12(2m-p+6)