Consider two x distributions corresponding to the same x distribution. The first x distribution is based on samples of size n = 100 and the second is based on samples of size n = 225. Which x distribution has the smaller standard error?

Answer:

Step-by-step explanation:

The key here is to find out how long it will take Justin to triple his money, and then use that number of years in Hailey's equation. If Justin starts with $940, he will triple his money when he has $2820 (940*3). We need to find out how long it takes him to do this using the equation

[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex]where A(t) is the tripled amount of money, P is the initial investment, r is the interest rate in decimal form, n is the number of compoundings done per year, and t is the time in years. Filling in and solving for t:

[tex]2820=940(1+\frac{.07625}{12})^{12t[/tex] which simplifies a bit to

[tex]2820=940(1+.0063541667)^{12t[/tex] and a bit more to

[tex]2820=940(1.0063541667)^{12t[/tex] Begin to solve for t by dividing both sides by 940 to get:

[tex]3=(1.0063541667)^{12t[/tex] and then take the natural log of both sides to get the t alone eventually. Taking the natural log on the right side enables us to move the 12t down in front. So doing all of that at the same time:

[tex]ln3=12tln1.0063541667[/tex] and divide both sides by ln(1.0063541667):

[tex]173.4450855=12t[/tex] then finally divide both sides by 12 to get

t = 14.5 years. Now we use that number of years to find out how much Hailey will have.

[tex]A(t)=940(1+\frac{.0825}{4})^{(4)(14.5)}[/tex] which simplifies a bit to

[tex]A(t)=940(1+.020625)^{58[/tex] and a bit more to

[tex]A(t)=940(1.020625)^{58[/tex] and

A(t) = 940(3.26768151) so in 14.5 years, Hailey will have

A(t) = $3071.62

[tex] \frac{x {}^{0}y {}^{ - 3} }{x {}^{2}y {}^{ - 1} } \\ = \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1} } \\ = \frac{1 \times 1}{ {x}^{2} y {}^{2} } \\ \\ = \frac{1}{ {x}^{2}y {}^{2} } [/tex]

Step by Step Explanation:

#CarryOnLearning

Answer:

x=25

Step-by-step explanation:

43=2x-7 (since the midpoint separate a line into two equal halves)

43+7=2x

50/2=x

25=x

Answer:

x=25

Step-by-step explanation:

Since M is the midpoint, you can set your formula up as

43 = 2x-7

43+7=2x

50/2=x

25=x

Answer:

2 1/4

Step-by-step explanation:

We have to make the first value into an improper fraction, which makes 3 3/8 into 27/8. Now we subtract 9 from 27, giving us 18. This 18 is still over the common denominator of 8. 8 goes into 18 twice with 2 left over. So we have our mixed number as 2 2/8, which can be simplified to 2 1/4.

Answer:

slope = -5 equation= y=-5x+100

Step-by-step explanation:

pick the x and y intercepts as your points to find the gradient that is

(20,0) and (0,100)

slope =∆y/∆x

=100/-20

= -5

take point(20,0) and (x,y) to find equation using the slope

equation becomes y= -5x+100

Answer:

The slope of the line reflects the actual d.

Answer:

might wanna add the picture for an answer

Step-by-step explanation:

Thanks!!

Answer:

5 =x

Step-by-step explanation:

The top and the bottom are the same length

17 = 3x+2

Subtract 2 from each side

17-2 = 3x+2-2

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

Answer:

x = 5

Step-by-step explanation:

3x + 2 = 17

3x + 2 - 2 = 17 - 2

3x = 15

3x ÷ 3 = 15 ÷ 3

x = 5

Answer:

2

Step-by-step explanation:

Just substitute in 7 for the n.

30-4(7)

30-28

2

The 7th term in the sequence is 2.

Answer:

# of rows: 34

# of seats in each row: 46

Step-by-step explanation:

r - # of rows

s - # of seats in each row

r * s = 1564

s = r + 12

(34) * (46) = 1564

(46) = (34) + 12

Hope this helps!

Answer:

5250

Step-by-step explanation:

a. 7/8 of 60,00

a [tex]\frac{7}{8} * 60,00[/tex]

[tex]\frac{7*60,00}{8}[/tex]

[tex]\frac{42,000}{8}[/tex]

[tex]5250[/tex]

Answer:

C) 10.63 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(-6-2)^2+(4-(-3))^2}[/tex]

Simplify:

[tex]d=\sqrt{(-8)^2+(7)^2}[/tex]

Evaluate:

[tex]d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}[/tex]

Our answer is C.

Answer:

13

Step-by-step explanation:

the answer is 13

the answer is 13

the answer is 13

the answer is 13

the answer is 13

The quotient obtained by dividing 4x²+3x+2 will be 4x + 15 hence option (A) will be correct.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraint.

Given that

dividend  =  4x²+3x+2

divider = x -3

⇒ (x - 3) / 4x²+3x+2

⇒ (x - 3) / 4x²+3x+2

→ First it will goes for 4x time so 4x × (x - 3) = 4x² - 12x

Quotient = 4x

so (4x²+3x+2) - (  4x² - 12x ) = 15x + 2

(x - 3) / 4x²+3x+2

→ Second time it goes for 15 so 15 × (x - 3) = 15x -45

Quotient = 15

so  (15x + 2 ) - (  15x -45 ) = 47

Hence, 47 will be the remainder and the quotient will be (4x + 15).

For more about the equation, here:

brainly.com/question/10413253

#SPJ2

Answer:

Point Form:

(6,18), (-3,-9)

Equation Form:

x=6, y=18

x=-3, y=-9

Step-by-step explanation:

Solve for the first variable in the first equation, then substitute the result into the other equation.

Answer:

x=-3 , x=6

so

y=-9 or y=18

Answer:

9/8 x 9/8 = 81/64 in fraction form.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{81}{64}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\(\frac{9}{8})^2\\\\\text{Recall the power of a fraction rule: } (\frac{a}{b})^x =\frac{a^x}{b^x}\\\\\rightarrow (\frac{9}{8})^2 =\frac{9^2}{8^2} =\boxed{\frac{81}{64}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x= 30/7

Step-by-step explanation:

See image below:)

Answer:

Step-by-step explanation:

2/3x = - 1/2x + 5

2/3x + 1/2x = - 1/2x + 1/2x + 5

[tex]1\frac{1}{6}x=5[/tex]

[tex]\frac{1\frac{1}{6}x}{1\frac{1}{6} } =\frac{5}{1\frac{1}{6} }[/tex]

Answer:

0-7

Step-by-step explanation:

89-0

Answer:

D but see below.

Step-by-step explanation:

So you have a question that has no clear answer. If Jeff took grade 11 and Lana took grade 12, that would make the answer much clearer. At least there would be no duplicates.

If you could refine the question a little more, you might get a clearer answer. I don't think this question should be asked and I sure don't think you should try and give an answer.

However that's not how schools work. So I would pick D, but by some bizarre method, the asker (like edge) might think of a way to make A B or C true.

Answer:

It has 5 Faces.

The 4 Side Faces are Triangles.

The Base is a Square.

It has 5 Vertices (corner points)

It has 8 Edges.

Step-by-step explanation:

btw you can choose 3

Answer:

(2x-4()(x-2)

Step-by-step explanation:

this is how it looks when factorised

Answer:

y=-2x^2-8x

you can use a factor form helper and from that it can show you examples on how to solve it

Answer:

1 9 3

Step-by-step explanation:

i think only this much

Answer:

1,3 and 9

As Nine is divisible by 1,3 and 9

Answer:

32

Step-by-step explanation:

The perimeter is equal to sum of side lengths

4x + z + 3 + 5z - 3 = 80 add like terms

10z = 80 divide both sides by 10

z = 8 PR is 4z so 8*4 = 32

Answer:

Step-by-step explanation:

8 .) Probability of students has no pets in senior = No. of outcomes favourable / Total no.of outcome

= 15 / 24

9.) Probability of students has pets in junior = No.of outcomes favourable / Total no. of outcomes

= 37/52

Answer:

3x+60+60=180 (cointerior angle)

3x+120=180

3x=180-120

3x=60

x=20

Answer:

B =53.15010235

Step-by-step explanation:

Since this is a right triangle, we can use  trig functions

tan theta = opp / adj

tan B =  20 /15

Take the inverse tan of each side

tan ^ -1 ( tan B) = tan ^-1( 20/15)

B =53.15010235

Answer:

x=41/4

Step-by-step explanation:

According to the Secant Theorem, a(a+b)=c(c+d)

Therefore, 3(3+4x+12)=2(2+8x),  12x+45=16x+4, x=41/4

Answer:

21

Step-by-step explanation:

what are the best ways for your business and how do they get neck debt from the air and to get rid from a good or

Answer: The game will end at 3:27 pm.

Step-by-step explanation: 50 minutes from 11:37 am is 12:27 pm, and 3 hours from 12:27 pm is 3:27 pm.