A sample of 100 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
O A. (24.3, 25.3)
O B. (24, 26)
O C. (23.8, 26.2)
O D. (24.4, 25.6)

Answer:

x = - [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (x - 2) = 4x

Multiply both sides by 5 to clear the fraction

2(x - 2) = 20x ( divide both sides by 2 )

x - 2 = 10x ( subtract x from both sides )

- 2 = 9x ( divide both sides by 9 )

- [tex]\frac{2}{9}[/tex] = x

_________________________________

Solution,

Marked price (MP)=$ 38.00

Discount%=30%

Sale price (SP)=?

Now,

Discount amount= discount% of MP

=30%of 38

=$ 11.4

Again,

Sale price(SP)=MP-Discount

= 38-11.4

=$26.60

The right answer is $ 26.60

Hope it helps...

Good luck on your assignment

_______________________________

Answer:

Step-by-step explanation:

[tex]orginal \: \: \: \: price = 38.00[/tex]

[tex]discount \\ percentage= 30\%[/tex]

First we have to find the discount.

[tex]discount = 38 .00\times \frac{30}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11.40[/tex]

Now let's find the sales price of the shirt.

[tex]sales \: \: \: price \\ =original \: \: \: \: price - \: discount \\ = 38.00 - 11.40 \\ = 26.6 0\\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

15

Step-by-step explanation:

Answer:

In the picture attached, line l and the three points are shown. 3 segments are formed, namely, segments AB, BC and AC.

Step-by-step explanation:

A segment has two endpoints. With 3 points on the line, there are 3 segments, AB, BC and AC; each of them includes 2 points.

Answer:

B. 3x² -17

Step-by-step explanation:

f(x)= 3x+1

g(x)= x² -6

(f °g)(x) =f(g(x)) so plug in in f for variable x²-6

(f °g)(x) = 3(x² -6) +1 =3x² -18 +1 = 3x² -17

Answer:2*sqrt(130)

Step-by-step explanation:[tex]From right triangle $AXC$, we have $\angle XAC = 90^\circ - \angle XCA$. We also must have $\angle YCB + \angle ACB + \angle XCA = 180^\circ$, so $\angle YCB = 180^\circ - 90^\circ - \angle XCA = 90^\circ - \angle XCA$, which means $\angle YCB = \angle XAC$. Combining this with $\angle X = \angle Y$, we have $\triangle XCA \sim \triangle YBC$ by AA Similarity, and\[\frac{CX}{AX} = \frac{BY}{CY},\]so\[\frac{CX}{4} = \frac{18}{2CX}.\]\\\\This gives us $2CX^2 = 72$, so $CX^2 =36$ and $CX=6$. \\\\\\\\[/tex][tex]Therefore, $CY = 12$.Applying the Pythagorean Theorem to right triangles $XCA$ and $CYB$ gives us\begin{align*}CA^2 &= XA^2 + XC^2 = 16 + 36 = 52,\\BC^2 &= CY^2 + BY^2 = 144 + 324 = 468.\end{align*}Applying the Pythagorean Theorem to right triangle $ABC$ gives\[AB = \sqrt{AC^2 + BC^2} = \sqrt{52 + 468} = \sqrt{520} = \boxed{2\sqrt{130}}.\](We can also compute $AB$ by dropping a perpendicular from $A$ to $\overline{YZ}$, which creates a right triangle.)[/tex]

The length of the side AB from the figure is approximately 22.8.

Given a rectangle WXYZ.

Consider triangles ΔACX and ΔBCY.

∠AXC = ∠BYC

Also, ∠CAX + ∠ACX = 180° - 90°

So, ∠CAX = 90° - ∠ACX [Equation 1]

Given that ∠ACB = 90°

Also, ∠ACX, ∠ACB, and ∠BCY form linear angles.

So, ∠ACX + ∠ACB + ∠BCY = 180°

So, ∠ACX + 90° + ∠BCY = 180°

∠ACX + ∠BCY = 90°

∠BCY = 90° - ∠ACX [Equation 2]

From [Equation 1] and [Equation 2], ∠CAX = ∠BCY

By AA similarity, triangles ΔACX and ΔBCY are similar.

So, the corresponding sides are proportional.

AX / CY = CX / BY

4 / 2CX = CX / 18

(CX)² = 36

CX = 6

Now, using the Pythagoras theorem:

AC = √(4² + 6²) = √52

BC = √(18² + 12²) = √468

So, AB = √(√52)² + (√468)²

            = √520

            ≈ 22.8

Learn more about Pythagoras theorem here :

https://brainly.com/question/31658142

#SPJ2

Answer:

133

Step-by-step explanation:

We are given the expression:

s(6-t)+7(s+1)

We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.

6(6--8) +7(6+1)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Subtract 6 and -8.

6(14)+7(6+1)

Solve the other set of parentheses. Add 6 and 1.

6(14)+7(7)

Multiply 6 and 14.

84+7(7)

Multiply 7 and 7

84+49

Add 84and 49

133

Answer:

133

Step-by-step explanation:

s(6 - t) + 7(s + 1)

Plug in numbers:

6(6 - (-8)) + 7(6+ 1)

using Bedmas, solve:

Brackets first: 6(14) + 7(7)

Solve multiplication: 84 + 49

Add together: 133

Answer:

I think it is A

Step-by-step explanation:

the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.

Answer:

Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200

Step-by-step explanation:

HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A

Answer:

d. 8

Step-by-step explanation:

sin(α) = opposite/hypotenuse

sin(30°) = 4/x

x = 4/sin(30°) = 4/(1/2) = 8

Answer:

Step-by-step explanation:

Given that:

The investment amount in account = $ 320

The rate of interest is = 8.1% compounded quarterly

Compunded quarterly means  8.1% / 4  = 0.02025

The time period = t years

The objective is to write a function showing the value of the account after t years.

From compound interest , compounded monthly.

[tex]Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}[/tex]

[tex]= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}[/tex]

[tex]= 320*(1+ 1.6875*10^{-5})^{12t}[/tex]

[tex]= 320 * ( 1.000016875)^{12t}[/tex]

Thus; the function after t years [tex]= $320 * ( 1.000016875)^{12t}[/tex]

The percentage of growth per year is :

= (1 + 0.02025)^4 - 1

= 1.083493758 - 1

= 0.083493758

= 8.4 % (APY) yearly

Answer: 2) 0.275

Step-by-step explanation:

Total households = 160

Watch Cable TV: 109

Watch internet TV: 88

Watch neither: 7

We want to find the number that watch both of them.

Now, the total number of housholds that watch at least one thing is:

160 - 7 = 153.

Now, if we add the number that watch by cable and the number that watch by  internet we have:

109 + 88 = 197

The difference is:

197 - 153 = 44

This means that we have 44 households that watch both things.

This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.

Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:

P = 44/160 = 0.275

The correct option is 2

Answer:

5.

Step-by-step explanation:

That would be |-1 - (-6)|

= |-5|

= 5.

Answer:

[tex]60ft[/tex]

Step-by-step explanation:

Use the formula for the perimeter of a rectangle.

[tex]P=2l+2w[/tex]

[tex]180=2l+2(30)[/tex]

[tex]180=2l+60[/tex]

[tex]180-60=2l[/tex]

[tex]120=2l[/tex]

[tex]\frac{2l}{2}=\frac{120}{2}[/tex]

[tex]l=60[/tex]

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

Answer:

The length of the actual tractor is:

Step-by-step explanation:

Firstly, you must know the conversión between inches and feet:

Or

How the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:

The paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:

And we operate:

After we cancel the unit "inches:"

For this reason, we obtain the final value of 56 feet to the actual length of the tractor.  

Answer:

Below.

Step-by-step explanation:

To find the answer, you have to compare the two equations:

[tex]y=\frac{1}{10}x+60[/tex] and [tex]y=\frac{1}{5}[/tex]

So first, the graph looks different because the two slopes are different. The first one will be more vertical than the second one.

The second difference is the y - intercepts. The first equation starts at (0, 60) and the second starts at the origin.

Answer:

67.5 degrees

Step-by-step explanation:

The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.

Full circle = 360 degrees

360 degrees - 90 degrees = 270 degrees

Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.

So, we need to divide 270 by 4. We get 67.5 degrees.

Hope this helps!

treviglaslibrary

Answer:

67.5 degrees

Step-by-step explanation:

Hope that helps

Answer:

$250

Step-by-step explanation:

200/80=2.50

2.50*100=250

Answer:

$250.

Step-by-step explanation:

By proportion the cost should be 200 * 100/80

= 200*5/4

= 50 * 5

= $250.

Answer:

x = 120°

Step-by-step explanation:

The equation is given to you:

The sum of the interior angles can be found using the equation:

Sum = (n - 2)180

Note that:

n = # of sides.

Plug in 6 for n in the equation.

∑ = (6 - 2)180

First, solve for the parenthesis:

∑ = (4)180

Next, multiply:

∑ = 4 * 180

∑ = 720

You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:

720/6 = 120

120° is your answer.

~

Answer:

the answer is 120 degrees

Answer:

1) 22

2) 19.5

3) 26

4) 12

5) False

6) True

7) Mean

8) False

9) Add all the numbers and divide by the total number of numbers

10) Bimodal

Step-by-step explanation:

1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *

To calculate mean you add all the numbers up and divide by the total number of numbers.

[tex]\frac{24 + 31+12+38+12+15}{6} = 22[/tex]

2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *

For median, arrange the numbers from lowest to largest

12, 12, 15, 24, 31, 38

use (n+1) / 2 to figure out which value is the median

(6+1) / 2 = 3.5 (median is in between the 3rd and 4th value)

(15+24) / 2 = 19.5

3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *

Range is max value - min value

38 is max and 12 is min

38 - 12 = 26

4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *

Mode is the value that appears most frequently

In this case 12 appears 2 times, therefore it is the mode

5) the mode represents the number that appears the least *

False, mode is the number that appears the most

6) To calculate the range we use the highest and lowest number ? *

True

7) Average is another word for *

mean

8) the range indicates the middle number ? *

False, range is the max value - min value

9) which statement best describes the mean. *

add all the numbers and divide by the total number of numbers

10) A data set with two modes is known as *

bimodal

___________________________________

hey!!

summation fX=132

N(total no.of items)=6

Now,

Mean=summation FX/N

=132/6

=22

2. Arranging the data in ascending order

= 12,12,15,24,31,38

N=6

Median=(N+1/2)th item

= (6+1/2) th item

=(7/2)th item

=3.5 th item

Again,

median=3 rd item + 4th item/2

=15+24/2

= 39/2

=19.5

3.Range= highest score- lowest score

=38- 12

=26

4. Mode= 12 because it has more frequency.

______________________________________

Good luck on your assignment

________________________________

Answer: i think its 1.25hrs

Step-by-step explanation: 90/75=1.25

Answer:

1) Ice cream cone = 2/7

⇒ The number of ice cream cones in the lot = 4

    The total number of items in the lot = 14

    Probability = the number of that particular item in the lot ÷ the total     number of items in the lot.

    Probability = 4/14 = 2/7

2) Soccer Ball = 1/7

⇒ The number of soccer balls in the lot = 2

    The total number of items in the lot = 14

    Probability = the number of that particular item in the lot ÷ the total number of items in the lot.

    Probability = 2/14 = 1/7

3) Books = 5/14

⇒The number of books in the lot = 5

    The total number of items in the lot = 14

    Probability = the number of that particular item in the lot ÷ the total number of items in the lot.

    Probability = 5/14

4) Coins = 3/14

⇒ The number of coins in the lot = 3

    The total number of items in the lot = 14

    Probability = the number of that particular item in the lot ÷ the total number of items in the lot.

    Probability = 3/14

PLS MARK ME AS BRAINLIEST!!

Answer:

12.

Step-by-step explanation:

Replace k in the radical by -2:

So we have √(-72*-2)

= √144

= 12.

Answer:

12

Step-by-step explanation:

[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]

Answer:

Option (1)

Step-by-step explanation:

Characteristics of the graph attached,

1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.

2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)

Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.

Therefore, statement is not supported by the graph.

Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]

Therefore, this option is supported by the graph.

Option (3). A 40-year-old may have the same average resting heart rate for 10 years.

[True]

Therefore, this statement is supported by the graph.

Option (4). The average resting heart rate for teenagers steadily decreases.

[True]. There is a linear decrease in the teenagers heart rate shown in the graph.

Therefore, the given statement is true and supported by the graph.

Option (1) will be the answer.

Answer:

5 feet.

Step-by-step explanation:

We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.

To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.

Answer:

12.1 cm

Step-by-step explanation:

We need to utilise Pythagoras theorem here. Pythagoras states that the 2 legs of the triangle square equal the hypotenuse squared so the formula for this is a² + b² = c²

In the question we are already presented with the hypotenuse so we will have to substitute in the values and rearrange

→ Form equation

7² + b² = 14²

→ Simplify

49 + b² = 196

→ Minus 49 from both to isolate b²

b² = 147

→ Square root both sides to isolate b

b = 12.12435565

The value of x to 1 decimal place is 12.1