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Answer:

113.1 =VOLUME , 4/3 X 3.14 (3) ^3 = 113.1

The average rate of change of profit when 20 units to 14 units per day will be 46.5.

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

Assume the expense and income (in dollars) capabilities are given by C(x) = 8x + 48 and R(x) = 80x − 0.75x², where x is the everyday creation.

The profit function is written as,

P(x) = R(x) - C(x)

P(x) = (80x − 0.75x²) - (8x + 48)

P(x) = 80x − 0.75x² - 8x - 48

P(x) = 72x − 0.75x² - 48

The average rate of change of profit when 20 units to 14 units per day are calculated as,

Average rate = [P(20) - P(14)] / (20 - 14)

Average rate = [(72×20 − 0.75(20)² - 48) - (72×14 − 0.75(14)² - 48)] / 6

Average rate = (1140 - 861) / 6

Average rate = 279 / 6

Average rate = 46.5

The average rate of change of profit when 20 units to 14 units per day will be 46.5.

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Answer: 18

Step-by-step explanation:

x/4.5= 60/15

15x=270

X = 18cm

Answer:

3

Step-by-step explanation:

We know that the sum of the angles of a triangle is 180

Assume that the angles are equal

x+x+x = 180

3x= 180

x = 180/3 =60

All three angles are less than 90 which makes them acute so we know that we can have 3 acute angles

Answer:

Step-by-step explanation:

310 is the answer.

Answer:

6a^2

Step-by-step explanation:

a^2= 8^2

a^2=64

Total surface area=6×64

answer= 384cm^2

hope this helps :)

The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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Answer: B

Step-by-step explanation:

A = lw

A = (8.5m)(4.5m)

A = 38.25m^2

The volumes of the right prism are, respectively:

Case 6: V = 703.72 mm³

Case 7: V = 57905.84 mm³

Case 8: V = 3744 ft²

Case 9: V = 475.20 mm³

The volume of the sphere is:

Case 10: V = 18816.57 cm³

In this problem we find four cases of right prisms, whose volumes must be computed. This can be done with the help of following formulas:

Volume

V = A · h

Area formula - Rectangle

A = w · l

Area formula - Triangle

A = 0.5 · w · l

Area formula - Circle

A = π · r²

In addition, we need to determine the volume of a sphere:

V = (4π / 3) · r³

Where:

Now we proceed to determine the volume for each case:

Case 6

V = π · (16 mm)² ·  (14 mm)

V = 703.72 mm³

Case 7

V = π · [(40 mm)² - (32 mm)²] · (32 mm)

V = 57905.84 mm³

Case 8

V = (12 ft) · (8 ft) · (39 ft)

V = 3744 ft²

Case 9

V = 0.5 · (11 mm) · (5.4 mm) · (16 mm)

V = 475.20 mm³

Case 10

V = (4π / 3) · (16.5 cm)³

V = 18816.57 cm³

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Answer:

D) xy/2 = 28

Step-by-step explanation:

Inverse Variation:

y = k/x

Given:

k = 56

Work:

y = k/x

y = 56/x

xy = 56

xy/2 = 28

xy = 28 * 2

xy = 56

Answer:

16 (The last one)

Step-by-step explanation:

All of them equal 1/16 OTHER than the last one.

Answer:

yes

Step-by-step explanation:

the ratio of 28 : 36 can be simplifeid by dividing both sides of the ratio by 4.

28/4=7

36/4=9

so the ratio of 28 : 36 is equal to 7 : 9

Answer:

∠R = 17°

∠Q = 100°

∠P = 63°

Step-by-step explanation:

In a triangle all the degrees added together should be 180°. Because we know this, we can add up every component and set it to 180 like this:

\(4x - 5 + 6x - 2 +x = 180\)

After combining like terms we get:

\(11x - 7 = 180\)

add 7 to both sides and then divide by 11 to get:

\(x = 17\)

Now that we know x we know ∠R = 17°.

In order to find the rest we plug in 17 for x into their given formulas. For ∠Q:

\(6(17) - 2 = 100\)

And for ∠P you can plug in to get the answer or do 180 - 100 - 17 (subtracting the other 2 angles):

180 - 100 - 17 = 63

or

\(4(17) - 5 = 63\)

Answer:

36

Step-by-step explanation:

2850/78 = 36.538

Answer:

36.538

Step-by-step explanation:

since he has 2,850 worth of string and he needs 78 pieces, you would divide 2,850 by 78 which gives you 36.53846154 but you would make it 36.538. if you needed to round by the tenths, its 36.5, hundredths is 36.54, and thousandths is 36.538.

Answer:

7.777777… is repeating

6.213 is repeating

5.152535 is non repeating

4.04 is repeating

Answer:

Step-by-step explanation:

Given:

Find a : b:

Answer:

A

Step-by-step explanation:

Answer:

yessss

Step-by-step explanation:

yessssssss

The condition that distinguishes organism from inorganic objects and dead organisms, being manifested by growth through metabolism, reproduction, and the power of adaptation to the environment through changes originating internally.

Answer:

C. middle school grades

Step-by-step explanation:

Colleges want to see if students challenged themselves by taking rigorous courses, and they also want to know what kind of grades students were able to maintain. They also like to take into account the scores you get on standardized tests because these tests can give a relatively accurate idea of a student's mastery of certain subjects. The only thing they don't pay attention to are the grades you earned in middle school. Since these grades aren't very recent, they don't serve as an accurate measure of a student's academic ability, which is why colleges prefer to look at the grades a student earns during their time in high school.

Hope this helps :)

Answer: g(x)-f(x)=-x³-3x-3

Step-by-step explanation:

Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).

x-3-(x³+4x)           [distribute -1]

x-3-x³-4x              [combine like terms]

-3-x³-3x                 [rewrite]

-x³-3x-3

Now, we know that g(x)-f(x)=-x³-3x-3.

Answer:

x<-5

Step-by-step explanation:

-(2+2x)-2>6

-(2+2x)>8

2+2x<-8

2x<-10

x<-5

Step-by-step explanation:

8(15-4)

----------

4square - 5

= 8(15-4)

=120 - 32

= 88

4square - 5

=4×4 = 16

16 - 5

= 11

therefore,

88/11

= 8

(a.) 0.09

equation:

f(x) = log(x)

rate of change:

\(\sf \rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}\)

\(\sf \rightarrow \sf \dfrac{log(4) -log(6)}{4-6}\)

\(\sf \rightarrow 0.088\)

\(\sf \rightarrow 0.09\)

Answer:

\(A.\: 0.09\)

Step-by-step explanation:

Rate of Change is: \(\frac{y{_1-y{_2} } }{x_2-x_1}\)

\(\frac{log(4)-log (6)}{4-6}\)

\(0.088\)

\(0.09\)

Answer:

a=40. b=140. c= 40

Step-by-step explanation:

b is congruent To 140 because of the vertical angles postulate that states two angles vertical from one another are congruent.

a is 40 because it is Supplementary to b Which means that the sum of a and b must add up to 180.

c is Congruent to a due to the vertical angles postulate

The calculated value of the rate of the graph is 0.8

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

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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Answer:

Step-by-step explanation:

y =  -2x+1

rearrange to solve for x

2x = -y+1

x = -½y + ½

f⁻¹(x) = -½x + ½ = -(x-1)/2

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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Answer:

Percent of people satisfied with the​ car  = 70%

Step-by-step explanation:

Given:

Total number of people survey = 1,400

Number of people satisfied with the​ car = 980

Find:

Percent of people satisfied with the​ car

Computation:

Percent of people satisfied with the​ car  = [Number of people satisfied with the​ car / Total number of people survey]100

Percent of people satisfied with the​ car  = [980 / 1400]100

Percent of people satisfied with the​ car  = 70%

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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