A triangle has a base of 4 inches and a height of 12 inches. What is the area of the triangle?

Answer:

a) point estimate for the population proportion of all customers who experienced an interruption

E = 0.029

b)

90% confidence interval for the proportion of all customers who experienced an interruption

(0.11441 , 0.16319)

C)

Size of the sample 'n' = 509

Step-by-step explanation:

Step(i):-

a)

An Internet service provider sampled 540 customers and found that 75 of them experienced an interruption in high-speed service during the previous month.

Sample proportion

                           [tex]p = \frac{x}{n} = \frac{75}{540} = 0.1388[/tex]

The point estimate of all customers who experienced an interruption

                         [tex]E = \frac{Z_{\alpha }\sqrt{p(1-p)} }{\sqrt{n} }[/tex]

  Level of significance

                          Z₀.₀₅ = 1.96

                         [tex]E = \frac{1.96\sqrt{0.138(1-0.1388)} }{\sqrt{540} }[/tex]

                         E  =  0.029

b)

90% confidence interval for the proportion of all customers who experienced an interruption

[tex]( p - Z_{0.10} \sqrt{\frac{p(1-p)}{n} } ,p + Z_{0.10} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex]( 0.1388 -1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} } ,0.1388 + 1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} })[/tex]

( 0.1388 - 0.02439 , 0.1388 + 0.02439)

(0.11441 , 0.16319)

c)

Margin of error

                   [tex]M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]

                   [tex]0.03 = \frac{1.96 \sqrt{0.1388(1-0.1388)} }{\sqrt{n} }[/tex]

                   √n = 22.58

Squaring on both sides, we get

                 n = 509

Answer:

See steps below

Step-by-step explanation:

WS ⊥ MH , HS = SM ......... Given

<HSW = <MSW = 90  .....  From WS ⊥ MH

Triangle HWS = Triangle WMS .... SAS  theorem

<M = <H  .... based on triangle congruency, and angle opposed to equal side WS

Answer:

[tex]\huge\boxed{82 \textdegree}[/tex]

Step-by-step explanation:

We know that all angles in a triangle will add up to 180°. Since we know the measure of all 3 angles, we can create this equation:

[tex]31+x+(x-15) = 180[/tex]

Let's solve for x.

Combine like terms:

[tex]31+2x-15=180[/tex]

Add 15 to both sides:

[tex]31+2x=195[/tex]

Subtract 31 from both sides:

[tex]2x=164[/tex]

Divide both sides by 2:

[tex]x= 82[/tex]

So x is 82°.

Hope this helped!

Answer:

x= -2/3 or x=-2/3y

Step-by-step explanation:

i assume this meant solve for x

start by setting the y value as 0 then isolate the x

Answer:

I would say 14 weeks.

Step-by-step explanation:

I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.

Answer: -16t^2 + 30t + 6

Step-by-step explanation: just substitute it...also did Edge

The height of the ball given by the polynomial describes the projectile

motion of the ball.

The polynomial that models the height of the ball Min throws, in feet is presented as follows;

Reasons:

The given polynomial for the height of the ball is; h(t) = -16·t² + v·t + h₀

Where;

v = The initial velocity of the ball

h₀ = The initial height

t = The time in seconds

The polynomial that models the height of the ball Min throws is given by substitution of the values of v, h₀, in the above equation as follows;

The height of the ball is; h(t) = -16·t² + 30·t + 6

Learn more about the equation of a projectile here:

https://brainly.com/question/12892867

Answer:

$29.40

Step-by-step explanation:

4 * 2.70 + 6* 3.10= 10.8+18.6=29.4

Answer:

[tex]\frac{10}{83}[/tex]  

I hope this helps!

Answer: 50%

Step-by-step explanation:

$60 - $40 = $20

$20/$40 = .50  x 100 = 50%

Answer:

Area = 3x² + 7x + 3

Perimeter = 8x + 8

Step-by-step explanation:

The figure can be decomposed into two: a large rectangle and a smaller rectangle.

✍️Dimensions of the large rectangle:

Length = (x + 1) + x = x + 1 + x = (2x + 1)

Width = (x + 3)

Area = length × width

Area = (2x + 1)(x + 3)

Expand

2x(x + 3) +1(x + 3)

2x² + 6x + x + 3

Area = 2x² + 7x + 3

✍️Dimensions of the large rectangle:

Length = x

Width = x

Area = length × width

Area = x × x = x²

✍️Area of the figure = area of the large rectangle + area of the smaller rectangle

Area of the figure = (2x² + 7x + 3) + x²

Area of the figure = 2x² + x² + 7x + 3

✅Area = 3x² + 7x + 3

✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x

✅Perimeter = 8x + 8

Answer:

Width = [tex]7\frac{11}{16}[/tex] inches

Step-by-step explanation:

Given

[tex]End_1 = 2\frac{3}{4}[/tex]

[tex]End_2 = 10\frac{7}{16}[/tex]

Required

Determine the width of frame in between

To do this, we simply calculate the difference between both ends:

i.e.

[tex]Difference = End_2 - End_1[/tex]

This gives:

[tex]Difference = 10\frac{7}{16} - 2\frac{3}{4}[/tex]

Convert to improper number

[tex]Difference = \frac{167}{16} - \frac{11}{4}[/tex]

Take LCM

[tex]Difference = \frac{167 - 44}{16}[/tex]

[tex]Difference = \frac{123}{16}[/tex]

[tex]Difference = 7\frac{11}{16}[/tex]

Hence, the width of the frame is [tex]7\frac{11}{16}[/tex] inches

Answer:

376

Step-by-step explanation:

47 times 8 would be the number of miles that the family took in 8 trips.

Answer:15,605

Step-by-step explanation:4000(1+.065/12)^21*12

4000(1+0054)^252

Answer:

5/7

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

Answer:

8/48

Step-by-step explanation:

the bottom they multiplied by 4 to get 48 so you do the same to the top so you get 8

Answer:

Terms: 8, (-x²), x, (-4x)

Like terms: x and (-4x)

Step-by-step explanation:

A term is a single number (positive or negative), a single variable (a letter), or several variables multiplied but not added or subtracted.

Like terms are terms that have the same variables and power like x.

Answer:

The 3 digit numbers are;

171, 152, 133, 114, 285, 266, 247, 228, 209, 399

Step-by-step explanation:

Let the 3 digit number be xyz

Since x is the Hundreds digit, y is the tens digit and z is the unit digit, we have;

100x, 10y and z

We are told the sum of this is equal to 19 times the sum of their digits.

Thus;

100x + 10y + z = 19(x + y + z)

100x + 10y + z = 19x + 19y + 19z

This gives;

81x - 9y - 18z = 0

Divide through by 9 to get;

9x - y - 2z = 0

x = (2z + y)/9

Now, we will need to select values of z and y between 0 to 9 in such a way that (2z + y) is divisible by 9 and in such a way that x > 0 but ≤ 10

The possible solutions are;

At z = 1, y = 7 and x = 1

At z = 2, y = 5 and x = 1

At z = 3, y = 3 and x = 1

At z = 4, y = 1 and x = 1

At z = 5, y = 8 and x = 2

At z = 6, y = 6 and x = 2

At z = 7, y = 4 and x = 2

At z = 8, y = 2 and x = 2

At z = 9, y = 0 and x = 2

At z = 9, y = 9 and x = 3

Compiling all these, the 3 digit numbers are;

171, 152, 133, 114, 285, 266, 247, 228, 209, 399

Answer:

Step-by-step explanation:

1. 150 to 132 is a decrease of 12%

2. 275 to 242 is a decrease of 12%

3. 300 to 255 is a decrease of 15%

Thanks For the Brainliest!

Answer:

1. 150 - 12% = 132

2. 275 - 12% = 242

3. 300 - 15% = 255

Answer:

8 out of 11

Step-by-step explanation:

Answer:

33.333....   or   33 33/100

Step-by-step explanation:

10 potatoes makes 15 pounds of mashed potatoes can be written like 10/15

and that means x potatoes make 50 pounds of mashed potatoes

so it looks like 10/15=x/15

so 10times20divided by15=x

x=

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] \frac{x - 1}{2} - \frac{x - 2}{3} > \frac{x - 3}{4} \\ [/tex]

Multiply sides by 12

[tex]12 \times ( \frac{x - 1}{2} - \frac{x - 2}{3} ) > 12 \times ( \frac{x - 3}{4} ) \\ [/tex]

[tex](12 \times \frac{x - 1}{2} ) - (12 \times \frac{x - 2}{3} ) > 12 \times \frac{x - 3}{4} \\ [/tex]

[tex](6 \times \: (x - 1)) - (4 \times (x - 2)) > 3 \times (x - 3) \\ [/tex]

[tex]6x - 6 - (4x - 8) > 3x - 9[/tex]

[tex]6x - 6 - 4x + 8 > 3x - 9[/tex]

[tex]6x - 4x + 8 - 6 > 3x - 9[/tex]

Collect like terms

[tex](6 - 4)x + 2 > 3x - 9[/tex]

[tex]2x + 2 > 3x - 9[/tex]

[tex]3x - 9 < 2x + 2[/tex]

Add sides 9

[tex]3x - 9 + 9 > 2x + 2 + 9[/tex]

[tex]3x > 2x + 11[/tex]

Subtract sides 2x

[tex] - 2x + 3x > - 2x + 2x + 11[/tex]

[tex]x > 11[/tex]

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Answer:

[tex]ln(4)+2\,\,ln(y)[/tex]

(the first option of the list)

Step-by-step explanation:

Using the properties of logarithms (first the logarithm of a product and then the logarithm of a power, we write:

[tex]ln(4\,y^2)=ln(4)+ln(y^2)=ln(4)+2\,\,ln(y)[/tex]

which agrees with the first option in the list of possible answers.

Answer:

38/5

Step-by-step explanation:

15 x 3 = 45 + 3 = 48/15

then 4 + 5 = 20 + 2 = 22/5

22/5 + 48/15 = ?

find the common denominator  

15 ÷ by 3  so you do the same to the numerator so, 48 ÷ 3 = 16

then keep the 22 and 16 and put it as 16/5 and 22/5 and add them to get 38/5

hope this helps