Which expression is equivalent to y^4-400?

Using the z-distribution, as we have the standard deviation for the population, the margin of error is given by:

b. 0.39.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

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

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

As for the other parameters, we have that [tex]\sigma = 1.8, n = 81[/tex].

Hence, the margin of error is given by:

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

[tex]M = 1.96\frac{1.8}{\sqrt{81}}[/tex]

[tex]M = 0.39[/tex]

Hence option b is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Step-by-step explanation:

hope you understand. :)

Answer:

[tex]4\sqrt{2b}[/tex]

Step-by-step explanation:

[tex]\sqrt{98b}-\sqrt{72b}+\sqrt{18b}[/tex]

Apply radical rule [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex]:

[tex]\implies \sqrt{98}\sqrt{b} -\sqrt{72}\sqrt{b} +\sqrt{18}\sqrt{b}[/tex]

Factor out common term [tex]\sqrt{b}[/tex]:

[tex]\implies \sqrt{b}(\sqrt{98} -\sqrt{72}+\sqrt{18})[/tex]

Rewrite 98, 72 and 18:

[tex]\implies \sqrt{b}(\sqrt{49 \cdot 2} -\sqrt{36 \cdot 2}+\sqrt{9 \cdot 2})[/tex]

[tex]\implies \sqrt{b}(\sqrt{49}\sqrt{2} -\sqrt{36}\sqrt{2}+\sqrt{9}\sqrt{2})[/tex]

[tex]\implies \sqrt{b}(7\sqrt{2} -6\sqrt{2}+3\sqrt{2})[/tex]

Factor out common term [tex]\sqrt{2}[/tex]:

[tex]\implies \sqrt{b}\sqrt{2}(7 -6+3)[/tex]

[tex]\implies \sqrt{b}\sqrt{2}(4)[/tex]

[tex]\implies 4\sqrt{2b}[/tex]

The direction will be resultant

Now

Answer:

I'm pretty sure the answer is 6½

Answer:

n≈9

n=9.015625

Step-by-step explanation:

64(n+2)=141(5)

Break up the parenthesis.

64n+128=705

Subtract 128 from both sides.
64n=577

Divide 64 from both sides.

577/64

Then you get your answer.

n≈9

Using linear functions, it is found that the two plans will donate the same amount for 4 miles.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the functions for the amount donated with n miles are given by:

They will donate the same amount for n miles as such:

f1(n) = f2(n).

10 + 0.5n = 4 + 2n.

1.5n = 6

n = 6/1.5

n = 4.

More can be learned about linear functions at https://brainly.com/question/24808124

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Answer:

About 0.1

Step-by-step explanation:

If you divide 7.35 by 63, you get about 0.1.

Answer:

See below ↓↓

Step-by-step explanation:

About how many blocks tall is your model of the Empire State Building?

What is the scale factor?

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees

Read more about angle measures at:

https://brainly.com/question/17972372

Answer:

$0.80

Step-by-step explanation:

$23.60 divided by 29.5cm = $0.80 per cm.

Answer:

2.7

Step-by-step explanation:

15/1 = 40/x

Cross multiply: 40/15

Divide: 2.66

Round up: 2.7

2.7 times 15= 40.5

Answer:

2hrs. 40mins.

Step-by-step explanation:

A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $40?

x = hours she babysat

Equation:

15x = 40

Divide to isolate x:

15x = 40

/15   /15

x = 8/3 hrs.

Now, we convert into hours and minutes, since she did work for more than an hour, to earn the $15 each hour.

We know that there are 60 mins. in an hour

60 * 8/3

480/3

160 mins.

Convert into hour and mins:

1 hr. = 60 mins

160/60 = 2 40/60 ==> 2 2/3

Convert 2/3 into mins to add to the hours:

60 * 2/3

120/3 = 40

2hrs. + 40 mins.

2hrs. and 40mins

Therefore, the babysitter was there for 2hrs. 40mins.

Hope this helps!

The coordinates of the vertices A'B'C when ABC is dilated by a scale factor of 1/6 are 1/6(x,y)

The rule of transformation is given as:

Dilation by a scale factor of 1/6

Mathematically, this is represented as:

(x,y) => 1/6(x,y)

This means that the coordinates of the vertices ABC are multiplied by 1/6 to get the coordinates of the vertices A'B'C

Read more about dilation at:

https://brainly.com/question/3457976

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Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot.

A geometric figure can be defined as the forms of different dimensional objects that are formed through a combination of lines, planes or points.

In Geometry, the following terminologies and definitions are used to describe a geometric figure:

Read more on lines here: https://brainly.com/question/1655368

Perpendicular we need(Let it be P

So

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan25=\dfrac{P}{50}[/tex]

[tex]\\ \rm\Rrightarrow P=50tan25[/tex]

[tex]\\ \rm\Rrightarrow P=23.31ft[/tex]

Answer:

im thinking that is 3/74 because i count them

Step-by-step explanation:

3/74 rhe answer but 3/77 are wrong he just thinking

Answer:

3 over 77, 3/77

Step-by-step explanation:

You add up all of the marbles. (including the blue ones)

30+28+13+6 = 77.

So. You have a 3/77 chance of pulling a blue marble.

Answer:

volume is 360 i hope i uelped u

Let's see

#1

#2

Step-by-step explanation:

[tex]1 - 87 + 23 \\ = - 86 + 23 \\ = - 63 \\ \\ \\ \\ 5 - 700 \div 7 \\ = 5 - 100 \ \\ = - 95[/tex]

hope it helps ..

Answer:

Step-by-step explanation:

a²+b² = c² c is always the longest line thats opposite to the 90 degree angle

for 1

15² + b² = 17²

b² = 17² - 15²

b = √(17² - 15²)

b= 8

Answer:

5/24

Step-by-step explanation:

Instead of dividing 5/8 by 3/1, you could multiply by the reciprocal to get the same answer.

5/8 · 1/3

Hope that helps!

Answer:

Below in bold.

Step-by-step explanation:

z = 87 degrees ( vertical angles)

9x - 87 = 180 - z   ( adjacent angles are supplementary)

9x - 87 = 180 - 87  

9x = 180

x = 20 degrees.

[tex](\sqrt{2}{, 45^{\circ})[/tex]

============================================================

Explanation:

The original point is in cartesian form (x,y). We have x = 1 and y = 1 pair up together.

The radius is [tex]r = \sqrt{x^2+y^2} = \sqrt{1^2+1^2} = \sqrt{2}[/tex]

The angle theta is [tex]\theta = \tan^{-1}(y/x) = \tan^{-1}(1/1) = 45^{\circ}[/tex]

Therefore, the polar form is [tex](r, \theta) = (\sqrt{2}, 45^{\circ})[/tex]

The idea is to start at the origin while facing directly east at the angle 0 degrees. Then turn 45 degrees to the north (going counterclockwise) and then move [tex]\sqrt{2}[/tex] units away from the origin. Doing these steps will take you to the point (x,y) = (1,1)

Answer:

-1.8 kJ

Step-by-step explanation:

Given

Solving

Answer:

2250 J

Step-by-step explanation:

Work done is given by the formula :

work done = force × distance

Substituting values given gives us:

Work done = 45 × 40

Work done = 2250 J

Answer:

Step-by-step explanation:

2x+y

=2(2)+1

=4+1

=5

Answer:

5

Step-by-step explanation:

Sub x=2, y = 1

2(x) + y = 5

2(2) + 1 = 5

Answer:

c-21cm

Step-by-step explanation:

21 is the biggest one(unless the options are the diameters..it wouldstill be option c though)

Answer:

Net pay = $142 + $2665 = $2807

Percent withdrawn = (withdrawal ÷ net pay) × 100%

                               = (142 ÷ 2807) × 100%

                               = 5.058781617...%

                               = 5.1% (nearest tenth)