Eight of your friends came to your house to watch a movie. Three-fourths of your friends stayed overnight. How many friends stayed?

Answer:

C.I = (371.88  , 458.12)

Step-by-step explanation:

Given that:

sample size n = 100

sample mean [tex]\overline x =[/tex] 415

standard deviation = 220

The objective is to calculate the  95% confidence interval for the average increase in number of words students who can read in a minute without losing comprehension.

At 95% confidence interval; level of significance ∝ = 1 - 0.95

level of significance ∝ = 0.05

[tex]z_{\alpha/2} = 0.05/2[/tex]

[tex]z_{\alpha/2} = 0.025[/tex]

The critical value at [tex]z_{\alpha/2} = 0.025[/tex] is 1.96

C.I = [tex]\overline x \pm M.O,E[/tex]

C.I = [tex]\overline x \pm z_{\alpha/2} \dfrac{\sigma }{\sqrt{n}}[/tex]

C.I = [tex]415\pm 1.96 \dfrac{220 }{\sqrt{100}}[/tex]

C.I = [tex]415\pm 1.96 *\dfrac{220 }{10}[/tex]

C.I = [tex]415\pm 1.96 *22[/tex]

C.I = [tex]415\pm 43.12[/tex]

C.I = (371.88  , 458.12)

Answer: x=-10

Step-by-step explanation:

5*(12+x)=10

Distribute

60+5x=10

Subtract(60)

5x=-50

x=-10

Hope it helps <3

Answer:

Heeyyy hope it helps

Step-by-step explanation:

Ok, so the product is the answer to a multiplication problem.

The product of 5 and the sum of a number(X) and 3 is

5(X + 3) = 12

5X + 15 = 12

5X = 12 - 15

5X = -3

X = -3/5

Answer:

a.  Feelings about weight is the response (dependent) variable.  Sex is the explanatory (independent) variable.  The feelings about weight depend on the sex

b. Summary of  observed counts

                         Women   Men   Total

Overweight        38           18       56

Right weight      99          35      134

Underweight       6          25        31

Number           143           78      221

c. Percentage of the 143 women responding in each category:

1. Overweight = 38/143 = 26.6%

2. Right weight = 99/143 = 69.2%

3. Underweight = 6/143 = 4.2%

d. Percentage of the 78 men responding in each category:

1. Overweight = 18/78 = 23.1%

2. Right weight = 35/78 = 44.9%

3. Underweight = 25/78 = 32%

e. Summary of feelings about weight:

                         Women        Men

Overweight        26.6%        23.1%

Right weight      69.2%        44.9%

Underweight       4.2%         32%

Step-by-step explanation:

a) Data:

Sample size = 221

                       Women    Men   Total

Overweight        38           18       56

Right weight      99          35      134

Underweight       6          25        31

Number            143           78      221

b) To obtain the percentage of feelings about weight for each category, the number of those who feel overweight, right weight, or underweight is divided by the total number of women or men.  The value obtained, which is in decimal form, is then converted to percentage by multiplying with 100.

Answer:

           [tex]\bold{a=5\,,\quad b=-4\frac27}[/tex]

Step-by-step explanation:

[tex]5+\frac{2\sqrt3}7+4\sqrt3=5+\frac27\sqrt3+4\sqrt3=5+4\frac27\sqrt3=5-(-4\frac27)\sqrt3[/tex]

Answer:

His homework isn't finished.

Step-by-step explanation:

As in this sentence: "If the trash is taken out, and Theodore is watching television, then he has finished his homework.". It says that if trash is taken out, then Theodore has not finished his homework He has just taken out the trash.

Answer:b his homework isnt finished

Step-by-step explanation:

Answer:

1) From the measure of 40°, you can write:

tan(40°) = 100/x, where x is the base from the building to the tower

⇒x=100/tan(40°) = 119,18 m

2) From the measure of 30°, you can write

tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.

Then, y = tan(30°) * 119,18 = 68,81 m

3) The height of Jill's building is 100 - 68,81 = 31,19 m

When the height of the tower is 100 meters, the height of Jill's apartment building is 31.19m

Let the base from the building to the Rowe be represented by x. Based on the information given, the value will be:

x = 100/tan 40°

x = 119.18m

The height can be represented as:

= 100 - [tan30° × 119.18]

= 100 - 68.81

= 31.19m

Learn more about height on:

https://brainly.com/question/73194

#SPJ2

it is transformed [tex]|x|[/tex] function. moved down by and right by 1 unit,

so $y=|x-1|-1$

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) ← expand the product of factors using FOIL

= 3 + 11i - 20i² - 2 + i ( note i² = - 1 )

= 3 + 11i + 20 - 2 + i ← collect like terms

= 21 + 12i

Answer:

The answer is

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

Expand the terms in the bracket first

That's

3 + 15i - 4i - 20i² - ( 2 - i)

Remove the bracket

3 + 15i - 4i - 20i² - 2 + i

Group like terms

- 20(-1) + 15i - 4i + i + 3 - 2

15i - 4i + i + 20 + 3 - 2

Simplify

We have the final answer as

Hope this helps you

Answer:

125 degrees

Step-by-step explanation:

Using a theorem, you know that angle a is half of 110. Also, in all quadrilaterals   inscribed in a circle, the opposite angles are supplimentary. So then, knowing that angle a is 55 degrees, you can come to the conclusion that b is 125 degrees.

Hope this is helpful! :)

Answer: The length is 7/10 inches.

Step-by-step explanation:

So if is says that the string is  1/10 times 7 inches long, then it represents the length of the string.

So  L = [tex]\frac{1}{10}*7[/tex]  

     L = 7/10

Answer:

l=7/10

Step-by-step explanation:

(i) Note that it is given to you that 3a + 2b = 9

You are trying to find the value of 9a + 6b. Find what is multiplied to both the variable a & b. Divide:

(9a + 6b)/(3a + 2b) = 3

Next, multiply 3 to the 9 on the other side of the equation:

3 x 9 = 27

27 is the value of 9a + 6b.

(ii) Note that it is given to you that 8x + 6y = 60

You are trying to find the value of 4x + 3y. Find what is multiplied to both the variable x & y. Divide:

(8x + 6y)/(4x + 3y) = 2

Next, divide 2 from the 60 on the other side of the equation:

60/2 = 30

30 is the value of 4x + 3y.

~

Answer:

(i) 27, (ii) 30

Step-by-step explanation:

i. since 9a + 6b is 3 times 3a + 2b then the and is 3 times 9 = 27

ii. since 4x + 3y is half of 8x + 6y then 60 /2 = 30

Answer:

if its according to the graph but not according to the function then

domain = {x:-4<x<8}

range = {y:y<16}

Answer:

x = -5

I hope this helps!

Answer:

x = - 5

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 5, 7 ) with x- coordinate - 5 , thus

x = - 5 ← equation of vertical line

Answer:

Transformed   [tex]\,\,f(x)= -3\,(x-1)^2[/tex]

Step-by-step explanation:

The process of shifting the graph of the function 1 unite to the right can be obtained by subtracting 1 to the x-coordinate in the expression of the function:

[tex]f(x)=x^2\\new\,f(x) =(x-1)^2[/tex]

The process of stretching vertically the function, would be accomplished by multiplying now the full function by "3":

[tex]new \,\,f(x)= 3\,(x-1)^2[/tex]

the reflection over the x-axis is obtained by multiplying the full function by the constant "-1":

[tex]new \,\,f(x)= -3\,(x-1)^2[/tex]

Answer:

Below

Step-by-step explanation:

Let x be that missing number

One third of it is x/3

One-ninth of it is x/9

Multiply x/3 and x/9

● (x/3)*(x/9) = (x^2/27)

● (x^2/27) = 108

Multiply both sides by 27

● (x^2/27)*27 = 108*27

● x^2 = 2916

● x = √(2,916) or x = -√(2,916)

● x = 54 or x = -54

So there are two possibilities 54 and -54.

a1/3×1/9=!08

if you multiply you should get 1/27a=108

in order to let a alone multiply both sides by 27

and now your a which is unknown will equal 2916.

Answer:

The equation, when graphed together with the line y=-3x +6, which will form a system of equations with no solution is y=-3(x +6), meaning the second option on the picture.

Step-by-step explanation:

hope this helps!

Answer: 2 or B

Step-by-step explanation:

Answer:

x= 1.09 and x= -0.461

Step-by-step explanation:

Hope it helps :) :)

Good luck!!

Answer:

Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

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

                       m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

               = [tex]\frac{4-1}{-1-0}[/tex]

               = -3

Here 'b' = 1

Therefore, equation of the line will be,

y = -3x + 1 ---------(2)

From equation (1) and (2),

2x + 7 = -3x + 1

5x = -6

x = [tex]-\frac{6}{5}[/tex]

x = [tex]-1\frac{1}{5}[/tex]

From equation (1),

y = 2x + 7

y = [tex]-\frac{12}{5}+7[/tex]

  = [tex]\frac{-12+35}{5}[/tex]

  = [tex]\frac{23}{5}[/tex]

  = [tex]4\frac{3}{5}[/tex]

Therefore, exact solution of the system of equations is [tex](-1\frac{1}{5},4\frac{3}{5})[/tex].

Option (B) will be the answer.

Answer:

B. (-1 1/5, 4 3/5)

Step-by-step explanation:

Answer:

Option (A)

Step-by-step explanation:

Every cube has 8 vertices and 6 faces.

Cube shown in the picture attached,

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

Therefore, from the given options diagonal of the interior of the cube will be Side AH.

Option A will be the answer.

Answer:

the awnser is A

Step-by-step explanation:

i took a quiz

Answer:

For the first one, answer is dilation of 2

Step-by-step explanation:

you see the coordinates for triangle A'B'C' are all doubled the coordinates of triangle ABC

Answer: -10

Step-by-step explanation:

7 - 17 = -10.  An easy way to do this (with only two terms) is to just flip it, and do 17 - 7 = 10, then make 10 negative(-10)

Hope it helps <3

Answer:

BC = 8

Step-by-step explanation:

16 ( sin 30 degrees ) = BC

16 (0.5)

16/2

BC = 8

Give the other person brainliest they deserve it.

Answer:

D. ( 2w+6). (w)

i tried my best

hope this is the answer

stay at home stay safe

Answer:

If I'm correct she bought 5 pounds of coffee.

Step-by-step explanation:

$70 (gift card)

-$26.80 (remainder on g.c.)

= $43.20 ($ spent on money)

$43.20/ $8.64 = 5

(remainder)/ cost per lb. = lbs of coffee bought

Answer: She bought 5 pounds of coffee

Step-by-step explanation:

This situation can be represent by the equation

70 - 8.64 x = 26.80  where x is the number of coffee she bought.   solve for x

-70                   -70

-8.64x = -43.20

x = 5

Answer:

False

Step-by-step explanation:

To be able to answer this, we will need to make a reference to the sum and product formula.

What we have in the question is the product and we want to see if the sum correlates.

Using the sum formula, we have the value on the right hand side as;

(1/2)[sin(x+y)+sin(x-y)]

Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false

Answer:

  B(-6, 0)

Step-by-step explanation:

You want to find B such that ...

  (B -A) = (3/4)(C -A) . . . . the required distance relation

  4(B -A) = 3(C -A) . . . . . . multiply by 4

  4B = 3C +A . . . . . . . . . . add 4A, simplify

Now, we can solve for B and substitute the given coordinates:

  B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)

The coordinates of point B are (-6, 0).

Answer:

the answer your looking for is (-3,-3)

Step-by-step explanation:

Answer:

D. 4√2

Step-by-step explanation:

A triangle with 45°, 45°, and 90° is a special right triangle.

hypotenuse = √2 · leg

1. Set up the equation

8 = √2 · x

2. Divide by √2 and solve

x = [tex]\frac{8}{\sqrt{2} }[/tex] · [tex]\frac{\sqrt{2} }{\sqrt{2}}[/tex] = [tex]\frac{8\sqrt{2} }{2}[/tex] = 4√2

Answer:

0.638 seconds

Step-by-step explanation:

Since the ball is being dropped from a height of 24 meters, the equation will look like this:

24=9.8/s^2.

This is asking for how much seconds it will take for the ball to fall 24 meters to the ground.

Solve the equation:

24(s^2)=9.8

(s^2)=0.408

s^2=0.408

root the number:

0.638

you can round it to the nearest whatever it's asking you to round it to

Im not an expert, so please excuse me if it's not done correctly

Answer:

[tex]\boxed{\sf x =40}[/tex]

Step-by-step explanation:

[tex]\sf 12x=34^2 - 26^2[/tex]

Solve the square.

[tex]\sf 12x=1156-676[/tex]

[tex]\sf 12x=480[/tex]

Divide both sides by 12.

[tex]\displaystyle \sf \frac{12x}{12} =\frac{480}{12}[/tex]

[tex]\sf x =40[/tex]