Use the value of x to find the measure of angle 1 x=25

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:

hio

Step-by-step explanation:

hi

As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

Given that, the ancient Babylonians were writing fractions in 1800 BCE.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.

The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.

From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.

Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

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Answer:

function

Step-by-step explanation:

i have a hunch that is function i need one more brainleist pls

Answer:

The equation y=4x-1 has a greater rate of change

Step-by-step explanation:

to find rate of change for the table, you use [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

so, [tex]\frac{-5-(-7)}{-2-(-3)}[/tex] =      [tex]\frac{2}{1}[/tex]  = 2

So the rate of change for the table is 2 while the rate of change for the equation is 4. 4>2 so the equation has a greater rate of change.

9514 1404 393

Answer:

  (3, 0)

Step-by-step explanation:

The line through these points intersects the x-axis at x=3.

The x-intercept is (3, 0).

_____

The x-intercept can be computed from ...

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

  = -3 -(-4)(6-(-3))/(2-(-4)) = -3 +4(9/6) = -3 +6

  x-intercept = 3

__

Here, it is simple enough to plot the points and see where the line crosses the x-axis.

Answer:

A) None of the above

Step-by-step explanation

it's distributive property

Answer:

The answers are B and D.

Step-by-step explanation:

Here's why .... 5/6 times 13 will give you Less than 13 and so will 3/4 times 13 But D is equal to 13 and B is more than 13 and the question asks for the value to be greater OR equal to.

Answer:

i ont hel.p.............................................. .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Imagine a horizontal line that intersects the graph at 3 points

Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

Answer:

5/7

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

m<1 and m<3 are the same so subtract 113x2, or 226

subtract 360 from 226

m<2+m<4=134

divide by 2 coz m<2 and m<4 are the same as well

m<4= 67

Answer: Increases in X tend to be accompanied by increases in Y

Step-by-step explanation:

The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.

When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.

Answer:

r = 2

Step-by-step explanation:

When a figure is dilated with scale factor r = 1/2, the figure is halved. To reverse it back to normal, you would have to double the halved figure. Doubling something is the same as dilating it with a scale factor of 2.

Hope this helps :)

Answer:

i.  y=2x

ii. y=x+6

iii. y=-2x-6

iiii. y=-4x+3

iiiii. y=4x-3

Step-by-step explanation:

You can find the slope of the line by putting y2-y1/x2-x1

All you have to do is choose 2 points. Y2 is the second number y and x2 is the second number x. Y1 is the first number y and X1 is the first number X. To find y-intercept you look on the table and see where X is 0 and Y is any number that is the y-int. For example 5 there is no X=0 on the table so you put it in the point slope formula which is y-y1=m(x-x1) where you use the points from the slope. You multiply m to x and m to x1 where you will end up with y-y1=mx+mx1 then you add the y1 to mx1 where you will get the y intercept

Answer:

Step-by-step explanation:

The properties of prisms are similar for every kind of prism with each one defined by the shape that makes up the base of the prism. Any polygon can be the base of a prism.

A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area. Rectangular prisms, in particular, are one of the most fundamental and common shapes in three-dimensional geometry and are also used in fields such as carpentry and graphic design.

Prism: Math Definition

A prism is a type of three dimensional polyhedron. It has two "bases" that are parallel to each other. These bases are the same type of polygon. The other faces (aka the "sides") of the prism are parallelograms (this is true no matter what shape the bases are).

Hope this helps ✌️

Any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

One of the three-dimensional shapes that can be created with six pairs of parallel faces is a rectangular prism. Three-dimensional shapes in this category include cubes and cuboids. Prisms come in a variety of forms depending on the base.

Hence, any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.

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Answer:

x>-17.2

Step-by-step explanation:

Simplify both sides of the inequality

-0.5x-3.1< 5.5

Add 3.1 to both sides

-0.5x< 8.6

Divided both sides by -0.5

x>-17.2

Hope this helped! :)

Step-by-step explanation:

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Answer:

[tex] x = 17.5 [/tex]

Step-by-step explanation:

Since the two triangles are similar, their corresponding side lengths would be proportional. Therefore:

[tex] \frac{28}{16} = \frac{x}{10} [/tex]

Cross multiply

[tex] x*16 = 10*28 [/tex]

[tex] 16x = 280 [/tex]

Divide both sides by 16

[tex] x = \frac{280}{16} [/tex]

[tex] x = 17.5 [/tex]

Answer:

The data is not appropriately normal.

Step-by-step explanation:

In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.

The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.

Answer:

1350

Step-by-step explanation:

900/4 = 225

225x6=1350

i think

hope this helped

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:

C. 50 - 4x < 36 - 3x

Step-by-step explanation:

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

Answer:

answer is 1,080

Step-by-step explanation:

45×24=1,080

Step-by-step explanation:

The Taylor series expansion is:

Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!

f(x) = 1/x, a = 4, and n = 3.

First, find the derivatives.

f⁽⁰⁾(4) = 1/4

f⁽¹⁾(4) = -1/(4)² = -1/16

f⁽²⁾(4) = 2/(4)³ = 1/32

f⁽³⁾(4) = -6/(4)⁴ = -3/128

Therefore:

T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!

T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³

f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0.  So we can eliminate the top left option.  That leaves the other three options, where f(x) is the blue line.

Now we have to determine which green line is T₃(x).  The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).

The bottom right graph is the only correct option.

Answer:

8 counselors and 12 aids

Step-by-step explanation:

minimum number of staff to run camp = 20

Ratio of counselors to aids to work together = 2:3

To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4

minimum number of counselors needed = 4 x 2 = 8 counselors

minimum number of aids needed = 4 x 3 = 12 aids

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

[tex]\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2[/tex]

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

Answer:0

On edge

Step-by-step explanation: