ok heres the other one...

Answer:

Hence, the margin error is [tex]1415.62189[/tex] and the confidence interval for the mean is [tex](41234.38,44065.62)[/tex].

Step-by-step explanation:

Given :

Sample size [tex]n=135[/tex]

Sample mean [tex]\bar{x}=\$42,650[/tex]

Standard deviation [tex]\sigma =\$8,988[/tex]

Confidence level is [tex]93\%[/tex]

(a)  

The margin error [tex]=Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]

 [tex]\because \alpha =1-[/tex]confidence level

     [tex]\Rightarrow \alpha=1-93\%=1-0.93[/tex]

     [tex]\Rightarrow \alpha=0.07\Rightarrow \frac{\alpha}{2}=0.035[/tex]

   [tex]Z_{\frac{\alpha}{2}}=Z_{0.035}=1.83[/tex] from the [tex]z-[/tex]table

Now, the margin error[tex]=1.83\times \frac{8988}{\sqrt{135}}[/tex]

   [tex]=1415.62189[/tex]

(b)

The confidence interval for the mean [tex]\mu\\[/tex] :

    [tex](\bar{x}-\text{margin error},\bar{x}+\text{margin error})[/tex]

[tex]\Rightarrow (\bar{x}-1415.62189,\bar{x}+1415.62189)[/tex]

[tex]\Rightarrow (42650-1415.62189,42650+1415.62189)\\\Rightarrow (41234.38,44065.62)[/tex]

Answer:

1836

Step-by-step explanation:

5,6% of 1500 = 84

5,6% is 0,373333% of 1500  

so we do 84 x 4 for 4 year = 336 so we will + 336 and 1500 = 1836

Answer:

based length times based width times pyramid height

((6 cm) (4 cm) (4cm) ) 3

= 32 cm3

Answer:

d=8

Step-by-step explanation:

Firstly you need to get d by itself. To get d by itself you need to get 5 onto the other side. To do that you need to add 5 to 3 (because adding is the opposite of addition). Therefore you will get 8! So d = 8

Answer:

add 5 both sides making it

d=5+3

solve 5+3

=8

Answer:

n = 2

Step-by-step explanation:

5n - 12 = -3n + 4

5n + 3n = 4 + 12

8n = 16

n = 2

Answer:

5n-12=-3n+4

5n+3n=4+12

8n=16

n=16/8

n=2

Step-by-step explanation:

Answer:

Option F, y = 2x + 5 would be the right answer

Hope this helps!

Answer:

Option F would be correct.

Hope this helps<3

Have a good day :)

~Amy

Answer:

A

Step-by-step explanation:

trust

Answer:

B.

200.96 cm2

Step-by-step explanation:

A≈201.06cm²

Solution

A=πr2=π·82≈201.06193cm²

Answer:

A. (-1, 0)

Step-by-step explanation:

I calculated it logically

Answer:

-1

Step-by-step explanation:

The limit of a function f(x) as x tends to 'a' is obtained by substituting the value of a into f(x)

Here, f(x) = x ; as x - - > - 1

Limit of f(x) = - 1

Answer:

A.

Step-by-step explanation:

1889mm to meters is 1.889 meters, round it up you get 2 meters.

The answer is A.

Answer:

C.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The value are equivalent to the fraction below is 3^2, the correct option is F.

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

3^5/3^8

Now,

A. 3^-3: This is equivalent to 1/3^3 by moving the negative exponent to the denominator. Then we can simplify 1/3^3 to 1/27 by multiplying 3 by itself 3 times. This is not equivalent to 3^5 / 3^8, since 1/27 is not equal to 3^-3.

B. (1/3)^2: This is equivalent to 1/3^2 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^2 to 1/9 by multiplying 3 by itself 2 times. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.

C. (1/3)^8: This is equivalent to 1/3^8 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^8 to 1/6561 by multiplying 3 by itself 8 times. This is not equivalent to 3^5 / 3^8, since 1/6561 is not equal to 3^-3.

D. 1/9: This is equivalent to (1/3)^2 by writing it as a power of a fraction. Then we can apply the same steps as in option B and get back to 1/9. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.

E. 3^14: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction. We cannot simplify it further without changing its value.

F. 3^2: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction.

Therefore, by the given fraction the answer will be 3^2.

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ7

Let number of hours needed to work = x

Multiply number of hours by rate: 15x

Add what you already have saved:

15x + 215

This needs to equal at least 800:

The equation becomes:

15x + 215 >= 800

Solve for x:

15x + 215 >= 800

Subtract 215 from both sides

15x >= 585

Divide both sides by 15

X >= 39

They have to work at least 39 hours.

Answer:196.8

Step-by-step explanation:brainlyest plz plz I need it for my rank

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

Answer:

u² + 2u + 1

Step-by-step explanation:

In the question it's asking to find the the number in the blank to make the expression a perfect square.

Let the number in the blank be 'x'.

To guess 'x' , use the algebraic identity :- [tex](a + b)^2 = a^2 + (2 \times a \times b) + b^2[/tex]

While matching the expression with identity , the expression will look like this :- u² + 2ux + x²

In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".

⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)

⇒ x² = 1

∴ The number in the blank is 1.

Answer: Annual Fee

Step-by-step explanation:

The options include:

a. Late Payment Fee

b. Balance Transfer Fee

c. Cash Advance Fee

d. Annual Fee

The reason for the fee of $69.45 charged will be due to the late payment fee which is as a result of failing to make a payment by a due date.

Other reasons for the fee include the balance transfer fee which is the charged by the lender in order to transfer an existing debt that's incurred by another lender. The cash advance fee is also another reason for the charges.

Therefore, the correct answer to the question is annual fee.

Answer:

See graph and explanation

Step-by-step explanation:

Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.

Answer:

14 students

Step-by-step explanation:

Given

Let:

[tex]b \to[/tex] read a book

[tex]t \to[/tex] watched TV

So, we have:

[tex]n = 50[/tex] -- total

[tex]b = 16[/tex]

[tex]t = 41[/tex]

[tex]none = 7[/tex]

Required

Students that did both (x)

This is calculated using:

[tex]Total = Books\ only + TV\ only + Both + None[/tex]

So, we have:

[tex]n = (b - x) + (t - x) + x + none[/tex]

This gives:

[tex]50 = (16 - x) + (41 - x) + x + 7[/tex]

Open brackets

[tex]50 = 16 - x + 41 - x + x + 7[/tex]

[tex]50 = 16 - x + 41 +7[/tex]

Collect like terms

[tex]x = 16 - 50 + 41 +7[/tex]

[tex]x = 14[/tex]

Hence, 14 students did both

Answer:

Let price of drink be x

price of tub y

You have 4x+2y=32.5 (1) and

x = y -3.5 (2)

Plug for x from (2) into (1):

4(y-3.5) + 2y = 32.5

4y -14 +2y = 32.5

6y = 14+32.5

y = (46.5)/6 = $7.75 the price of tub

x= y-3.5 = 7.75 - 3.5 = $4.75

Answer:

356 cm.

Step-by-step explanation:

Whenever you find the surface area of a rectangular prism, remember this mnemonic:

LISA WILSON LOST HER WITCH HAT TWICE.

(TWICE) 2 (LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT)

In this rectangular prism, the length is 8, the width is 14, and the height is 3 (the order of numbers in length, width, and height does not matter).

Now, we can just plug in the numbers.

LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT

[tex]2(8*14+8*3+14*3) = 356.[/tex]

Therefore, the surface area of this rectangular prism is 356 centimeters.

Answer:

0.15

Step-by-step explanation:

Because 5/8 divided by 4 is 0.15.

Step-by-step explanation:

All you do is add them all up but tbh that picture could use some work and maybe when you fix it ill help you then .So the square unit of this picture is 6

Answer:

A

Step-by-step explanation:

The successful results are

1     1

2    1

1     2

2     2

So the formula is probability of winning to probability of losing

Probability of winning =

4/36 = 0.1111111

Probability of losing =

32/36 = 0.88888888

So the odds are expressed as 0.111111 / 0.88888 = 1  in 8

A

If you ever intend to bet on horses at the track, this is a very good problem to understand.

Place and show would be very handy too, but that goes beyond this question.