Lines and care parallel
What is the measure of _22
m_2 = 31°
m_2 = 50°
m22 = 120
56
m_2 = 130

Answer:

a. We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. The length would increase.

c. The interval would be narrower.

d. The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Margin of error of a confidence interval:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(higher the confidence level, higher z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

This shows that if we increase the confidence level, the margin of error gets larger and the interval gets wider, while if we increase the sample size the margin of error gets smaller and the interval gets narrower.

a. Interpret the confidence level.

We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.

We would increase the confidence level, and the interval would get wider, that is, the length would increase.

c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?

Larger sample size means that the interval would be narrower.

d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error.

The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Based on the information given in the sample, it should be noted that this implies that we are 90% sure that the mean GPA for all students at the school is between 3.14 and 3.52.

Lastly, a potential source of bias in Ellery's study that is not accounted for by the margin of error is making the students state their grades aloud. This will make some of them with lower grades lie.

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Answer:

$6.69448

Step-by-step explanation:

I=?

P=$266.50

R=2.5*1/100=2.5/100

T=12

P*R*T

$266.50*2.5/100*12=$6.69448

Answer:

Step-by-step explanation:

[tex]\text{m$\angle$ 2 is linear pair with$\angle$ 1}[/tex]

[tex] \text{according \: to \: the \: question}[/tex]

[tex] \sf 119 + m\angle 2 = 180 \\ \sf m \angle 2 = 180 - 119 \\ \sf m \angle2= 61[/tex]

Answer:

Linear pair

61°

Step-by-step explanation:

Let's verify

m<2

Answer:

90

Step-by-step explanation:

Answer:

incomplete question

Step-by-step explanation:

Answer:

Mrs. Parker paints the school library.Yrich is the best estimate

Step-by-step explanation:

for the amount of paint she uses?

Answer:

17%

Step-by-step explanation:

Answer:

B: 7t(8s - 3)

Step-by-step explanation:

Method 1: check by expanding each of them

A: 7(8st - 3t)=56st-21t

B: 7t(8s - 3)=56st-2t

C: 3t ( 18s - 7)=54st-21t

D: 7s ( 8t - 3t)=56st-21st

Method 2: the common factors of 56st and 21t is: 7t

56st/7t=8s

-21t/7t=-3

56st-21t=7t(8s-3)

Answer:

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

Step-by-step explanation:

Let's write [tex]-2x+4y=8[/tex] to slope-intercept form.

We do this by solving for [tex]y[/tex]

[tex]-2x+4y=8\\[/tex]

Add 2x to both sides

[tex]4y=8+2x[/tex]

Divide both sides by 4

[tex]y=\frac{1}{2} x+2[/tex]

Now that we have that equation in slope-intercept form, the question wants us to find a line that is parallel to it that passes the point (-5, -1).

A line is parallel to another line is they have the same exact slope.

The slope is [tex]\frac{1}{2}[/tex].

Slope-intercept form: [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

So, let's see what we have here so far.

[tex]y=\frac{1}{2}x +b[/tex]

All we have to do is find [tex]b[/tex].

The question wants the line to pass the point (-5, -1).

Let's plug that point in.

[tex]-1=\frac{1}{2} (-5)+b\\-1=\frac{-5}{2}+b\\\frac{3}{2} =b\\[/tex]

We have all the information needed to finish this problem!

So, the line that is parallel to [tex]-2x+4y=8[/tex] and passes through the point (-5, -1).

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

Answer:

(-0.2, 2.8)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

Answer:

True

Step-by-step explanation:

Because the angle with positive side of x axis is obtuse angle??

Answer:

5x+3x+15=8x+15

.................... ;)

Answer:

8000-6=7994 is the required number

Answer:

x = number of pies

$13.00  + (X -1)($10.00 per pie) = cost

Step-by-step explanation:

Number of pies = x

Total cost of = dollars = d

d = x + 10x

Hope that helps!

Really? Here we go...

0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

and

0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

or if you wanted conjuction

0, 20, 40

Answer:

Step-by-step explanation:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

The same factors are bolded

Answer:

-5

Step-by-step explanation:

∛—125=-5

Answer:

3/8

2+x>4

(x+3) (x-3)

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Weight of rice in drum = 43 - 14 = 29kg

Option D is the correct answer

Answer:

Step-by-step explanation:

48, percentage decreased by 75% (percent) of its value = 12

Answer:

Step-by-step explanation:

1074/100

1.074*10

0.1074*10

107.4/10

10740/1000

Answer:

1

Step-by-step explanation:

[tex]\frac{1}{2}=.5 \\ \frac{1}{4}=.25[/tex]

0.5 + 0.25 + 0.25 = 1

espero que esto ayude :)

Answer:

[tex]option \: b) \: \: \: 5 \sqrt{5} cm[/tex]

Step-by-step explanation:

Given,

Base of the triangle = 10

Hypotenuse of the triangle = 15

So, according to Pythagoras Theorem,

[tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]

[tex] {15}^{2} - {10}^{2} = {b}^{2} [/tex]

[tex]225 - 100 = {b}^{2} [/tex]

[tex]125 = {b}^{2} [/tex]

[tex]b = \sqrt{125} [/tex]

[tex]b = \sqrt{5 \times 5 \times 5} [/tex]

[tex]b = 5 \sqrt{5} cm \: (ans)[/tex]

(9.69-9.58):9.58*100 =

(9.69:9.58-1)*100 =

101.14822546973-100 = 1.1

Eso sería una disminución de 1.1

O como porcentaje redondeado 1.14%.

Espero eso ayude!

The percentage decrease in stock is 1.13%.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the stock price in technology was $9.69 yesterday. Today the price dropped to $9.58.

Assume that the percentage decrease is [x]%. Then, we can write -

[x] = [(9.69 - 9.58)/9.69] x 100

[x] = 1.13%

Therefore, the percentage decrease in stock is 1.13%.

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[Question is english is given as follows -

The stock price in technology was $9.69 yesterday. Today the price dropped to $9.58. Find the percent decrease. Round your answer to the nearest tenth of a percent.]

Answer:

Multiply how much Ken gets paid by 20.

He gets paid $10per hour to make a

He gets paid $100per hour to make b

He gets paid $1per hour to make c

good luck, i hope this helps :)

Answer:

9.8

Step-by-step explanation:

1.  Move the decimal one space to the right on both the divisor and the dividend.

2.  You should end up with 382.2 divided by 39

3. Answer is 9.8

Answer:

[tex]\alpha =1.76\ rad/s^2[/tex]

Step-by-step explanation:

Given that,

Initial angular speed of the skater, [tex]\omega_i=4.5\pi\ rad/s[/tex]

Final angular speed of the skater, [tex]\omega_f=7.2\pi\ rad/s[/tex]

Time interval, t = 4.8 s

We need to find her average angular acceleration  during this time interval. Let [tex]\alpha[/tex] be the average acceleration of the skater. So,

[tex]\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.2\pi -4.5\pi}{4.8}\\\\\alpha =1.76\ rad/s^2[/tex]

So, her angular acceleration is [tex]1.76\ rad/s^2[/tex].

Answer:

y=2/9x-1/3

Step-by-step explanation:

since line h is parallel to line g, this means that line h has the same slope as line g.

line h's slope would be 2/9.

to find the y-intercept, plug (-3, -1) into the equation y=2/9x+b. -3 will represent x and -1 will represent y:

y=2/9x+b

-1=2/9(-3)+b

Then, solve for b:

-1=2/9(-3)+b

-1=-6/9+b

b=-1/3

so, the equation for line g is: y=2/9x-1/3

Answer:

hello your question is incomplete attached below is the complete question

answer :

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

attached below is a detailed solution

Answer:

Corey stepped back 59.71 feet

Step-by-step explanation:

Right Triangles

They are a special type of triangle where one of its internal angles is 90°. The basic trigonometric equations stand in this type of triangles. If x is the adjacent leg of a given angle , and y is the opposite leg to the same angle, then :

[tex]tan0= \frac{y}{x}[/tex]

We can solve for x to get

[tex]x = \frac{y}{tan0}[/tex]

Corey estimates the height of the tree to be 80 feet. This means we know y=80 and . Let's find the horizontal distance at which Corey is looking at the bald eagle:

[tex]x1 =\frac{80}{tan68}[/tex]

[tex]x1 = 32.32 feet[/tex]

Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, so

[tex]x2 =\frac{80}{tan41}[/tex]

[tex]x2= 93.03 feet[/tex]

Now we can know the distance Corey walked back by subtracting both distances

correy stepped back 59.71 feet

The number of feets corey will step back to gain a better view of the bird is 54.72feet.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

here, we have,

Given that;

The height of tree=80feet

The angle of elevation to the bird from him=68°.

His estimated angle of elevation = 41°

Now,

Use trig to find x

then use trig to find   x+y

Then subtract to find y

tan41°= 80ft/(80ft/tan65 + y)

80/tan65 + y = 80/tan41

y= 80/tan41 - 80/tan65

y= 54.72ft

Therefore, by trigonometry the answer will be 54.72feet.

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Answer:

64 ways

Step-by-step explanation:

there are 8 different colors, with 8 different possibilities on the color arrangement.