the average of nine number is 16. the average of 4 of these number is 11. what is the average of the other five number ?​

Answer:

The mean is 6.

Step-by-step explanation:

To find the mean you need to do the following.

first, add up all the data to get a total.

next, count the amount of data you have.

lastly, divide the total by the count.

Answer:

6

Step-by-step explanation:

our given database is

2,3,6,6,7,8,8,8

add up all data:

[tex] \displaystyle \rm2 + 3 + 6 + 6+ 7 + 8 + 8 + 8[/tex]

[tex] \displaystyle = 48[/tex]

count the amount of data:

[tex] \displaystyle \boxed{ \begin{array} {ccc} \text{we have two 1 time} \\\text{we have three 1 time} \\ \text{we have six 2 times} \\ \text{we have seven 1 time} \\ \text{we have eight 3 time} \\ \hline \text{total} \quad \quad8\end{array}}[/tex]

divide the total by the count:

[tex] \displaystyle \frac{48}{8} [/tex]

[tex] \displaystyle = 6[/tex]

hence,

the mean of the database is 6

Answer:

The value of the mutual force between them is 3.6 x 10⁶ N

Step-by-step explanation:

Given;

distance between the two-point charges, r = 2000 m

the value of the two-point charges, q₁ and q₂ = 40 C and -40 C

Coulomb's constant, k = 9 x 10⁹ Nm²/C²

The value of the mutual force between them is calculated by applying Coulomb's law;

[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]

Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.

Answer:

r > 6.25 or r> -25/4

Step-by-step explanation:

[tex]16r > -100\\\\r > \frac{-100}{16}\\\\r> \frac{-25}{4}\\\\r> 6.25[/tex]

Answer:

step-by-step.

16r>−100

Step 1: Divide both sides by 16.

16r/16 > - 100/16

r> - 25/4

Step-by-step explanation:

Answer is r>-25/4

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can use this formula to find the equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 11)/(23-11) = (x-1)/(3-1)

(y-11)/12 = (x-1)/2

y-11 = 6x-6

y = 6x + 5

the rate of change is the slope of the line, while the constant (5) is the y intercept

Answer:

D. It is the sum of the data divided by the number of pieces of data

Step-by-step explanation:

It's also known as the average of the numbers in a data set.

What is the definition of mean?

[tex]{\boxed{\mathcal{\red{Answer.}}}}[/tex]

[tex]D.\:It \: is \: the \: sum \: of \: the \: data \: divided \: by \: the \: number \: of \: pieces \: of \: data.[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

x = 6

m∡ABC = 135°

Step-by-step explanation:

∡ABE ≅ ∡CBD therefore we can create the following equation:

3x + 27 = 45

3x = 18

x = 6

∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC

180 - 45 = m∡ABC

m∡ABC = 135°

Answer:

Is there answer choices?

Step-by-step explanation:

Answer:

Is there answer choices?

Step-by-step explanation:

Answer:

y=-25x+225

Step-by-step explanation:

The slope is -25 and I think the y-intercept is 225.

Hope this helps.

Answer:

x = 10

Step-by-step explanation:

The bigger triangle is 2 times larger than the smaller triangle meaning all of the value of the smaller triangle are 2 times smaller than the bigger triangle and the bigger triangle is 2 times larger than the smaller triangle

Answer:

x = 10

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 5 )

x = 10

Answer:

382 in ^3

Step-by-step explanation:

Answer:

4 1/11 hours

Step-by-step explanation:

Tom can paint 1/6 of the fence in an hour

Huck can paint 1/5 of the fence in an hour

Tom takes a half-hour break; we can create this equation:

1/6x - 1/2 + 1/5x = 1

use a denominator of 30:

5x/30 - 15/30 + 6x/30 = 30/30

11x/30 = 45/30

multiply each side by 30/11 to get:

x = 45/11 or 4 1/11

Answer:

Step-by-step explanation:

A = (4 , 6)

B = (7 , 4)

C= (5 , 1)

Answer:

x = {2, 8}

Step-by-step explanation:

(x - 3)^2 = 25

Take the square root of both sides

x - 3 = ±5

Add 3 to both sides

x = ±5 + 3

x = 5 +3 = 8

x = -5 + 3 = 2

x = {2, 8}

Answer:

x = 8, -2

Step-by-step explanation:

[tex](x-3)^2=25[/tex]

[tex](8-3)^2=25[/tex]          Substitute x for 8 the subtract 8 - 3

[tex](5)^2=25[/tex]                Multiply 5 by 5

[tex]25=25[/tex]

[tex](x-3)^2=25[/tex]

[tex](-2-3)^2=25[/tex]       Substitute x for -2 then subtract -2 - 3

[tex](-5)^2=25[/tex]             Multiply -5 by -5

[tex]25 = 25[/tex]

Answer:

8

Step-by-step explanation:

take the number of people in the audience and multiply by the percent that have green eyes to determine the number with green eyes

80 * 10 %

Change to decimal form

80 *.10

8

Answer:

so, as given 10% have green eyes,

10% of 80

10/100×80

800/100

=8

so 8 people have green eyes

Answer is 2

If 8x = 16y

on rearranging question,

x/y = 16/8 = 2

Answer:

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

Step-by-step explanation:

[tex]8x = 16y[/tex]

[tex]=> \frac{8x}{8} = \frac{16y}{8}[/tex]

[tex]=> x = 2y[/tex]

[tex]=> \frac{x}{y} = \frac{2y}{y}[/tex]

[tex]=> \frac{x}{y} = 2[/tex]

Answer:

A 6 units up

Translation rule

Y rule

+= up

-= down

X rule

+= right

-=left

Reflection rule

Reflection over x axis

Y that was once a positive number, is flipped to a negative

example

6,2 reflected over the x axis.

2=-2

Y axis rule example

-2,7 reflected over the y axis

-2=2

Step-by-step explanation:

If it ever says (example,example) like flipped over the x, it will change the y.

Same for a flip over the y, it will change the x

Answer:

no it's equal to 3/2 because 2 negatives equal a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

No, it's not equivalent

Step-by-step explanation:

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

[tex]-\frac{3}{2} = -1\frac{1}{2}[/tex]

Answer:

Graph the line starting at the y intercept (-5), count up 1 and left 3 (because [tex]\frac{1}{3}[/tex] is negative). Once you have a few points draw the line to connect them.

Step-by-step explanation:

the slope is negative and the y-intercept is at -5

Answer:

The turning effect of a force is known as the moment. It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn.

Answer:

Step-by-step explanation:

Since AB = AC and the triangle is isosceles:

The angles:

Answer:

[tex] = 20x {}^{2} - 10x - 30[/tex]

Step-by-step explanation:

[tex]5(4 {}^{2} - 2x - 6) \\ area = 20 {x}^{2} - 10x - 30[/tex]

Answer:

53

Step-by-step explanation:

one angle is 37

the triangle means one is 90

a trianlge always = 180 total so

(37+90)-180

=53

Answer:

30

Step-by-step explanation:

Given that,

No. of pairs of pants = 3

No. of shirts = 5

No. of pairs of shoes = 2

No. of different outfits that Jane can choose from = 3 * 5 * 2

= 30

∵ The maximum number of different outfits would be 30.

Answer:

10[tex]\pi[/tex]

Step-by-step explanation:

Length of arc = [tex]\frac{theta }{360} * 2\pi r[/tex]

= [tex]\frac{150}{360} * 2 \pi * 12\\[/tex]

= [tex]10\pi[/tex]

Basically, an outlier is a point on a graph that doesn't really fit the pattern.

An outlier can throw off a mean, if the outlier is larger than the other points, it can make the mean much higher than it should be. Vice versa, if it is smaller, the mean is much lower.

option 3

option2

hope helps you

have a nice day

1. The curve is a parabola with a vertex at (2,1) and is traced from left to right for increasing values of t.

Step-by-step explanation:

1. explanation is in the image

Answer: the correct answer is A. 35, 55

Step-by-step explanation: got it right on my exam today

35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.

Congruent angles are the angles that have equal measures.

According to the given  question

We have different angles for [tex]sinx[/tex] and  [tex]cosy[/tex].

And we have to find "the pairs of angles which has congruent values for sinx and cosy.

Therefore,

35 degree and 55 degree

sin(35) = [tex]sin(\frac{7\pi }{36})[/tex] =0.57

cos(35) = [tex]cos(\frac{11\pi }{36})[/tex] = 0.57

⇒ 35 degrees and 55 degrees are the pair of angles has congruent values for sinx and cosy.

35 degrees and 70 degrees

sin(35) =[tex]sin(\frac{7\pi }{36} ) =0.57[/tex]

cos(70) =[tex]cos(\frac{7\pi }{18} )[/tex] = 0.34

⇒35 degrees and 70 degrees are the pair of angles have not congruent values for sinx and cosy.

35 degrees and 145 degrees.

sin(35)=[tex]sin(\frac{7\pi }{36} )= 0.57[/tex]

cos(145) = [tex]cos(\frac{29\pi }{36} )= -0.8[/tex]

⇒ 35 degrees and 145 degrees are the pair of angles have not congruent values for the sinx and cox.

35 degrees and 55 degrees

sin(35) =[tex]sin(\frac{7\pi }{36} )[/tex]= 0.57

cos(35) = [tex]\frac{x}{y} =\frac{7\pi }{36} = 0.8[/tex]

⇒ 35 degrees and 55 degrees are the pairs of angles have not congruent values for sinx and cosx.

Hence, 35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.

Learn more about congruent angles here:

https://brainly.com/question/24887947

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