Sorry that the photo is sideways.​

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data : 5, 9, 10, 11, 15

s = √[(ΣX - m)² / (n - 1)]

n = number of sample = 5

m = mean

m = ΣX/n

m = (5 + 9 + 10+ 11 + 15) / 5

m = 50/5 = 10

s =√((5-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2 + (15-10)^2) / 5-1

= 3.601

(B) Multiply each data value by 5 to obtain the new data set 25, 45, 50, 55, 75. Compute s.

m = ΣX/n

m = (25 + 45 + 50 + 55 + 75) / 5

m = 250/5 = 50

s =√((25-50)^2 + (45-50)^2 + (50-50)^2 + (55-50)^2 + (75-50)^2) / 5-1

= 18. 028

(c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c?

The standard deviation changes by almost c times multiplied by the initial value.

3.601 * 5 = 18.005 which is almost equivalent to 18.028

(d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s 3.1 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calcula- tions?

No

Given 1 mile 1.6 kilometers, what is the standard deviation in kilometers?

If 1 mile = 1.6km

s = 3.1 miles

s in kilometers = (1.6 * 3.1) = 4.96km

Answer: X minus 1 over 2

Step-by-step explanation:

Use an inverse function calculator

Answer:

Step-by-step explanation:

payday loans work, typical interest rate range, fees, payday loan. If you can't repay the loans – and the Consumer Financial Protection Bureau says  payday loans don't get paid back in two weeks – then your interest rate soars to paycheck or give the payday lender electronic access to withdraw funds from.

plz mark as brainliest

Answer:

23

Step-by-step explanation:

8+15=23

in all, he moved 8 feet to the water, then another 15 feet below the water. this means that he ended up (8+15) feet from where he started.

Answer:

23

Step-by-step explanation:

(x^13-x^3+x^2+x-1)/(x*(x+1)*(x-1))

Answer:

[tex]A. 10\sqrt{2}[/tex]

Step-by-step explanation:

The triangle is a 45-45-90 triangle, which has the property that the side across from the 90°, in this case, x, is equal to one of the other sides multiplied by [tex]\sqrt{2}[/tex].

So:

10 x [tex]\sqrt{2}[/tex] = [tex]10\sqrt{2}[/tex]

The value of x in the given triangle is 10√2. So, correct option is A.

In triangle ABC, since angle B is a right angle, we can use the Pythagorean theorem to find the length of side AC (denoted by x).

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, AB and BC are the two sides adjacent to the right angle:

AB² + BC² = AC²

Substitute the given values:

10² + 10² = x²

100 + 100 = x²

200 = x²

Now, to find the value of x, take the square root of both sides:

x = √200

Simplify the square root:

x = √(100 * 2)

x = 10√2

So, the value of x in the triangle is 10√2.

The correct answer is A: 10√2.

To learn more about triangle click on,

https://brainly.com/question/28060290

#SPJ2

Answer:

17cm

Step-by-step explanation:

The perimeter of a square is the 4 sides added up, so we can just divide 4 by 68 to find out what one length is.

68/4= 17

We can prove this by adding it again.

17+17+17+17=68

Answer: A

Step-by-step explanation:

Answer:

The answer is A;
✔ m∠2 + m∠3

The value '0' is between the points above sea level and points below sea level. '0' being neither negative nor positive means it cannot be below or above sea level, rather '0' meters represents sea level.

Hope that helps!

Check the picture below.

the ball is higher than the building when y = 0, or namely when s(t) = 0, any other time is above it, and hmmm when it's that?

[tex]\stackrel{s(t)}{0}~~ = ~~-16t^2+64t+400\implies 0=-16(t^2-4t-25) \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-4}t\stackrel{\stackrel{c}{\downarrow }}{-25} \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-4) \pm \sqrt { (-4)^2 -4(1)(-25)}}{2(1)}\implies t=\cfrac{4\pm\sqrt{116}}{2}[/tex]

[tex]t=\cfrac{4\pm 2\sqrt{29}}{2}\implies t= \begin{cases} 2+\sqrt{29}~~\textit{\Large \checkmark}\\ 2-\sqrt{29} \end{cases}~\hfill \boxed{(0~~,~~2\sqrt{29})}[/tex]

notice, we can't use the 2-√29 because is a negative value and "t" is never negati ve, also notice the interval notation, we have parentheses on both sides.

Answer:

101.4 floz

Step-by-step explanation:

If I'm correct, you should multiply 16.9 by 6 because there are 6 bottles and each has 16.9 fluid ounces of water.

A water bottle has 16.9 fluid ounces of water, there would be a total of 101.4 fluid ounces of water.

We are given that each water bottle contains 16.9 fluid ounces of water. This is the capacity or volume of a single bottle.

To find the total amount of water in a pack of 6 bottles, we can multiply the amount of water in one bottle by the number of bottles in the pack.

Amount of water in one bottle: 16.9 fluid ounces

Number of bottles in the pack: 6

Total amount of water in the pack: 16.9 fluid ounces/bottle * 6 bottles = 101.4 fluid ounces

Therefore, there would be a total of 101.4 fluid ounces of water in a pack of 6 bottles.

For more details regarding volume, visit:

https://brainly.com/question/28058531

#SPJ6

Answer: 13.71

Step-by-step explanation:

Hundredths is the second place

Answer:

13.71

Step-by-step explanation:

The hundredths place is the second decimal, and, since the decimal after that is a 1, you round down and get 13.71

It can be noted that the diameter will be 4.26 inches.

From the information given, the area has been given as 14.18 square inches.

Therefore, the diameter will be calculated thus:

πr²= 14.18

3.14 × r² = 14.8

r² = 14.18/3.14

r² = 4.5

r = 2.13

Therefore, the diameter will be;

= 2r

= 2 × 2.13

= 4.26 inches.

Learn more about diameter on:

https://brainly.com/question/23220731

Answer: A class of 449 students went on a field trip. They took 11 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 3 students and each bus holds 55 students.

Step-by-step explanation: they took 8 buses.

55 x 8 = 440

3 x 3 = 9

440 + 9 = 449

Answer:

interior alternative angles

x=--4°

Step-by-step explanation:

please mark me as brainlest

Answer:

(3 ,2 )

Step-by-step explanation:

Given that:

On a coordinate plane, a trapezoid has points

H prime (negative 3, negative 2),

J prime (negative 2, negative 3),

K prime (negative 3, negative 4),

G prime (negative 5, negative 2).

Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph.

Thus, we get (3,2 )

~Lenvy~

Step-by-step explanation:

1)

Take 12x as a common factor

12x(3x-2)

12 since both 36 and 24 are divisible by 12

2)

Take 12x as a common factor again

12x(x-2)

3)

Take 15x as a common factor

15x(3x²-2)

3x²-2 can be written as the difference of 2 squares

15x(√3 x+√2)(√3 x-√2)

Answer:

[tex]12x(3x-2); 12x(x-2); 15x(3x^2-2)[/tex]

Step-by-step explanation:

Look at the coefficients of the first espression. 36 and 24 are both multiples of 12. We can collect 12x from both and we get

[tex]36x^2-24x=12x(3x-2)[/tex]

Second, 12 and 24 are obviously one twice the other, the common factor is again 12x:

[tex]12x^2-24x = 12x(x^2-2)[/tex]

Third polynomial: this time the greatest common divisor of 45 and 30 is 15. Let's collect 15x from either

[tex]45x^3-30x=15x(3x^2-2)[/tex]

Answer:

220

Step-by-step explanation:

GIven:

Joyce paid $143.00 for an item at the store that was 35 percent off the original price.

To Find:

What was the original price?

Solution:

Since that was 35 percent off the original price

Thus, 100 - 35 = 65

Equation:

143 = 0.65x

DIvide both sides by 0.65

143/0.65 = 0.65x/0.65

x = 220

Check Answer:

220 x 65% = 143

~Lenvy~

112

suplementry angle add to 180 so 180_68=112

Answer:

A) 3

Step-by-step explanation:

Ques: 30/(4√3 + 3√2) = 4√3 - a√2

Rationalise the denominator.

→ 30/(4√3 + 3√2) × (4√3 - 3√2)/(4√3 - 3√2) = 4√3 - a√2

→ (120√3 - 90√2)/(48 - 18) = 4√3 - a√2

→ (120√3 - 90√2)/30 = 4√3 - a√2

→ 120√3 - 90√2 = 120√3 - 30a√2

→ 90√2 = 30a√2

On solving we get,

→ a = 3

Ques: 30/(4√3 + 3√2) = 4√3 - a√2

→ 30 = 4√3(4√3) + 4√3(-a√2) + 3√2(4√3) + 3√2(-a√2)

Solve the brackets,

→ 30 = 48 - 4a√6 + 12√6 - 6a

→ - 18 = - 4a√6 - 12√6 - 6a

Put like terms on one side,

→ - 18 + 6a = - 4√6 (a + 3)

Take the common,

→ 3(a - 3) = - 2√6 (a + 3)

→ 3 (a - 3) = 2√6 (-a - 3)

→ [3(a - 3)]/2√6 = - a - 3

Rationalise the denominator,

→ 2√6(3a - 9)/24 = - a - 3

→ (3a√6 - 9√6)/12 = - a - 3

→ √6(a - 3) = - 4a - 12

Do squaring on both sides,

→ [√6(a - 3)]² = - (4a + 12)²

→ 6(a² + 9 - 6a) = - (16a² + 144 + 96a)

Solve the brackets,

→ 6a² + 54 - 36a =  - 16a² - 144 - 96a

→ 22a² - 132a + 198 = 0

→ 11a² - 66a + 99 = 0

→ a² - 6a + 9 = 0

Split the middle term,

→ a² - 3a - 3a + 9 = 0

→ a(a - 3) -3(a - 3) = 0

→ (a - 3)(a - 3) = 0

On comparing we get,

→ a = 3 (key to solve this and similar questions is rationalisation of the denominator)

Hence, the correct option is option A) 3.

Answer:

I only

Step-by-step explanation:

dy/dx = x + 1 / y -3

(y - 3)dy = (x + 1) dx

integrate

1/2y^2 - 3x = 1/2x^2 + x

1/2y^2 = 1/2x^2 + 4x

y^2 = x^2 + 8x

y = (x^2 + 8x)^1/2

Answer:

x = -23/7

Step-by-step explanation:

-7x+5 = 28

You cannot use the distributive property to solve this

Subtract 5 from each side

-7x+5-5=28-5

-7x =23

Divide each side by -7

-7x/-7 = 23/-7

x = -23/7

Answer:

23/-7

Step-by-step explanation:

-7x + 5 = 28

      -5        -5

-7x = 23

/-7       /-7

x = 23/-7

Answer:

Mean: 85.55
Median: 90
Mode: 95
Rage of Data: 35

Step-by-step explanation:

B) the mean is widely preferred as the best measure of central tendency because it is the measure that includes all the values in the data set for its calculation, and any change in any of the scores will affect the value of the mean.

C) the mean would become smaller.

Answer:

Step-by-step explanation: becuase if the ratio is 2:3 then the ratio reduced to 1 would be 2/3:1

Answer:

(First Option): 2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil

Step-by-step explanation

For every 2 tablespoons of vinegar, it was mixed with 3 tablespoons of olive oil. This leads to a ratio of 2:3, and that rules out option 2 and 3. To get the unit rate we divide 2 tablespoons of vinegar by 3 tablespoons of olive oil. This means that there is 2/3 tablespoons of vinegar for every tablespoon of olive oil and leads it to be answer choice 1.

Answer:y=-1/6*x-1/18

Step-by-step explanation:answer = y=-1/6*x-1/18

18y=1-3x

y=1/18-3/18x

y=-1/6*x-1/18

Answer:

$500

Step-by-step explanation:

To start, convert 24% to a decimal, or .24. Then, divide $120 by .24 to get the original amount, and you get $500. To check your work, you can multiply $500 by the 24% to make sure you get $120.

Hopefully this helps - let me know if you have any questions!

Answer:

Plug the x values into the equation and the answers are the y values

Explanation:

amount saved = 350-273 = 77 dollars.

Divide this amount over the original price

77/350 = 0.22 = 22% is the discount rate

Answer:All non-negative integers less than 70 for f(n) and All integers greater than or equal to 70

Step-by-step explanation:

It asks about the price before and after the free delivery.I’m not the best at explaining but I hope my answer helped.

The domain of the given functions are required.

The domain of [tex]f(n)[/tex] is All non-negative integers less than 14.

The domain of [tex]g(n)[/tex] is All integers greater than or equal to 14.

When the order is less than $70 a delivery charge of $89 is added and each plant costs $5.

The function representing the situation is

[tex]f(n)=89+5n[/tex]

If the order is or more than $70 then the function will be

[tex]g(n)=5n[/tex]

The domain of a function is the permissible values of [tex]n[/tex] for which the function is valid.

In the first function the number of plants that need to be bought so that the order will be 70 dollars would be

[tex]\dfrac{70}{5}=14[/tex]

So, only if less than 14 plants are bought then the first function can be used.

Also, the number of plants cannot be negative or zero hence it will be positive.

So, the domain of [tex]f(n)[/tex] is All non-negative integers less than 14.

In the second function the number of plants has to be 14 or more as it costs 70 dollars or more.

So, the domain of [tex]g(n)[/tex] is All integers greater than or equal to 14.

Learn more:

https://brainly.com/question/17440903

https://brainly.com/question/15099991

A real-world situation to model the number line is: It was colder on Friday night than Saturday morning because 0 is greater than -1

See attachment for the number line

From the figure, we have the following points

0 and -1

The number line can be modelled by temperature where a colder temperature is represented by 0, while the other temperature is -1 degrees Celsius

Hence, a complete scenario is:

On a Friday night, the measure of the temperature is 0 degrees Celsius. On Saturday morning, the temperature is -1 degree Celsius. It was colder on Friday night than Saturday morning because 0 is greater than -1

Read more about number lines at:

https://brainly.com/question/10851163