The monthly salaries (in thousands of dollars) of a sample of 5 sales representatives are as follows.
8, 6, 12, 11, 13
Send data to calculator
Find the standard deviation of this sample of monthly salaries. Round your answer to two decimal places.
0

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

for such more questions on  weight

https://brainly.com/question/29892643

#SPJ8

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

For more such question on cost. visit :

https://brainly.com/question/2292799

#SPJ8

Answer:

Round 33 percent to 30 percent and 87 to 90. Think of 30 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 90 as 9. So, 30 percent of 90 is 9 + 9 + 9, which is 27.

Step-by-step explanation:

Hope you pass! <3

Answer:

The Answer is:

Round 33 percent to 30 percent and 87 to 90. Think of 30 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 90 as 9. So, 30 percent of 90 is 9 + 9 + 9, which is 27.

Step-by-step explanation:

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

The sprout will be 8.25 inches tall after 14 days.

To create a linear equation to represent this situation, we can use the formula for the equation of a line, which is:

y = mx + b

where y is the dependent variable (height of the sprout), x is the independent variable (days after the sprout was planted), m is the slope of the line, and b is the y-intercept.

To find the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line. Let's use the points (7, 3) and (13, 7.5):

m = (7.5 - 3) / (13 - 7) = 0.75

To find the y-intercept, we can use one of the points on the line and the slope we just found. Let's use the point (7, 3):

y = mx + b

3 = 0.75(7) + b

b = -2.25

Therefore, the equation of the line that represents this situation is:

y = 0.75x - 2.25

To find the height of the sprout after 14 days, we can substitute x = 14 into the equation:

y = 0.75(14) - 2.25 = 8.25

To know more about Straight lines, click here,

https://brainly.com/question/29223887

#SPJ1

Answer:

1) m = 9/2, n = 9

3) x = y = (3√2)/2

Step-by-step explanation:

1) We have a 30°-60°-90° right triangle, so the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is (9√3)/2, so m, the length of the shorter leg, is 9/2, and n, the length of the hypotenuse, is 18/2, or 9.

3) We have an isosceles right triangle, so the length of the hypotenuse is √2 times the length of each leg. The length of the hypotenuse is 3, so x and y, the lengths of the two congruent legs, are 3/√2, or (3√2)/2.

C = 2 x pi x r = pi x d

so

C = 3,14 x 26 = 81,64 mm

Answer:

i think its 162

Step-by-step explanation:

you first multiply 3 four times which is

3 x 3 x 3 x 3 = 81 (dont multiply 3 x 4 bcuz that is not correct you have to do it the long way)

then you subtract 243 x 81  = 162

but i said i think thats the answer dont know

Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

To learn more about subsets:

https://brainly.com/question/2280091

#SPJ4

Answer:

3 ÷ 2/5 = 3 × 5/2 = 15/2 = 7 1/2

Answer:

-55 +11p

Step-by-step explanation:

-11(5-p)

Distribute

-11*5 -11*(-p)

-55 +11p

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

Read more about tangent lines at

https://brainly.com/question/21595470

#SPJ1

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

Learn more about dosage from

https://brainly.com/question/29367085

#SPJ1

Answer:

0.69 rounded to the nearest tenth is 0.7

Answer:

5

Step-by-step explanation:

Usually, the sequence is \(a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}\) where n is a postive number.

From the question,

\(a_{n} = a_{n-1} - 5\)

if n = 2 ;  

\(a_{2} = a_{1} - 5\)

\(a_{2} = 20 - 5 = 15\\\)

Thus, we got \(a_{2} = 20\).

if n = 3 ;  

\(a_{3} = a_{2} - 5\)

\(a_{3} = 15 - 5 = 10\)

Thus, we got \(a_{3} = 10\).

if n = 4 ;  

\(a_{4} = a_{3} - 5\)

\(a_{4} = 10 - 5 = 5\)

Thus, we got \(a_{4} = 5\).

***There are many ways to solve this question

example:

\(a_{n} = a_{n-1} - 5\)

\(a_{n} - a_{n-1} = - 5\)

Substitute n with 2, 3, 4

Then, we will get 3 equations.

Sum them up;

We will get

\(a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5\)

Answer:

\(f(t)= 27000 * 0.965^t\)

Step-by-step explanation:

Given

\(a = 27000\) -- initial

\(r = 3.5\%\)

Required

The exponential equation

The exponential equation is

\(y =ab^t\)

Where

\(b=1 -r\)

We used minus, because the rate decreases..

So, we have:

\(b=1 -3.5\%\)

\(b=1 -0.035\)

\(b=0.965\)

So:

\(y =ab^t\)

\(y = 27000 * 0.965^t\)

Hence:

\(f(t)= 27000 * 0.965^t\)

Answer:

$95.00 = $3.99s + $15.20

The probability that either event A or B will occur is equal to 0.89 to the nearest hundredth

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 20 + 12 + 4 = 36

probability of A = P(A) = 20/36

probability of B = P(B) = 12/36

probability that either event A or B will occur = 20/36 + 12/36

probability that either event A or B will occur = (20 + 12)/36

probability that either event A or B will occur = 32/36

probability that either event A or B will occur = 0.89

Therefore, the probability that either event A or B will occur is equal to 0.89 to the nearest hundredth

Read more about probability here:https://brainly.com/question/251701

#SPJ1

Answer:

5x + y + 8 = 0

Step-by-step explanation:

Let number be x

ATQ

\(\\ \bull\longmapsto \dfrac{7}{11}-\dfrac{x}{3}=\dfrac{24}{55}\)

\(\\ \bull\longmapsto \dfrac{7}{11}-\dfrac{24}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{35-24}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{11}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{1}{5}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto 5x=3\)

\(\\ \bull\longmapsto x=\dfrac{3}{5}\)

Step-by-step explanation:

hope it's helpful for you

pls mark above guy ans as brainliest

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

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

Explanation:

We undo the "minus 6" by adding 6 to both sides.

Also, we undo the "+s" by subtracting s from both sides

-----------

So we have these steps

P = r+s-6

P+6 = r+s-6+6 .... adding 6 to both sides

P+6 = r+s

r+s = P+6

r+s-s = P+6-s ..... subtracting s from both sides

r = P + 6 - s

Answer:

P+6-s=r

Step-by-step explanation:

Hi there!

We are given the equation P=r+s-6 and we need to solve for r

To do that, we need to isolate r onto one side, and have everything else on the other.

Here is the equation:

P=r+s-6

start by adding 6 to both sides to clear it from the right side

P+6=r+s

now subtract s from both sides to clear it from the right side

P+6-s=r

now everything that isn't r is on the left side, and r is by itself on the right side. P+6-s=r is the answer.

Hope this helps!

Answer:

5

Step-by-step explanation:

12$:3 =4$ a pints of raspberries

20$:4$=5 pints of raspberries

Answer:

9.99 units

Step-by-step explanation:

since hyp=√b^2+h^2

=6.03^2+7.96^2

36.3609+63.3616

√99.7225

9.9861

i.e 9.99

The hypotenuse is is 9.98 units

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Given:

Sides are 6.03 units and 7.96 units

Using Pythagoras theorem,

H²=P²+B²

H²= 7.96²+6.03²

   = 63.3616+36.3609

   = 99.7225

H=9.98 units.

Hence, the hypotenuse is 9.98 units.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2