If Bobby can eat a pizza in 30 minutes and Cassandra can eat a pizza in 15 minutes, how long, in minutes, will it take for Bobby and Cassandra to eat a pizza together?

Answer:

The area of the figure is 962.48 and 2 inches

Step-by-step explanation:

The equation for the area in terms of x gives the function David should use to maximize the area.

Response:

The equation that David should use to help him maximize the area is option A.

The given parameter are:

Length of fencing David has = 400 yards

Area to be enclosed = Rectangular area with pre-existing fence (on one side)

Required:

The equation David should use to maximize the area.

Solution:

Let x represent the width of the area (the sides perpendicular to the pre-existing fence), and let y represent the length of pre-existing fence

We have:

Length of fencing available = Opposite side to pre-existing fence + 2 × Width of the area

Opposite side to pre-existing fence = Length of pre-existing fence

Which gives:

Length of fencing available = Length of pre-existing fence + 2 × Width of the area

\(\sf 400 = y + 2x\)

\(\sf y = 400 - 2x\)

Area = Length × Width

Which gives:

Area = y × x

Area as a function of x is therefore;

Area, \(f(\text{x})= \bold{(400 - 2x)\times x}\)

Which gives:

The correct option is therefore:

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Answer:

The x=22

Step-by-step explanation:

Answer:

15.8 sq. in. of paper will be required.

Step-by-step explanation:

The problem is that a drinking cup does not have a cover, so only the lateral surface area counts.

I.e. We need only the first term.

A = pi r l = pi * 1.5 * sqrt(3^2+1.5^2)

= 15.81 sq. in.

Answer:

d

Step-by-step explanation:

you can notice that the image of 0 using y = 3x-8 is -8 wich what we see on the graph

you can also notice that the image of 2.6 is 0 wich is what we see on the graph

Answer:

D

Step-by-step explanation:

We can't really see any clear points apart from (0,8). That is why we will reason through the problem. We see that the y intercept is (0,8). Our equation needs to have -8 after the xs. That eliminates option A.

If we look at the second equation and we will put in x = 2, then y = -4. We can see that y isnť -4 on the graph though. We can eliminate B.

If we look at the second equation and we will put in x = 2, then y = -6. We can see that y isnť -6 on the graph though. We can eliminate C.

Only option remaining is D.

Answer:

Option E

Step-by-step explanation:

It is given in the question that both the triangles are similar.

By the property of similarity of two figures,

Corresponding sides of the similar figures are proportional.

\(\frac{x}{25}=\frac{24}{15}= \frac{48}{30}\)

\(\frac{x}{25}=\frac{24}{15}\)

x = \(\frac{24\times 25}{15}\)

x = 40

Therefore, measure of the missing sides is 490 units.

Option E will be the answer.

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer:

The Question is not Correct but answer is f 3 and g 3

Answer:

29+3374=32483 that is the solution for the question

The population size varies in several ways. The sample size was insufficient, which is the best explanation for why the simulation of the sampling distribution is not roughly normal.

A person's or a researcher's choice of sample size will limit the study's statistical power if it is too small or inadequate for the alpha level and the analyses they have decided to do.

Because of the aforementioned, it is much harder to determine from one's sample whether a statistical effect is existent in the population.

A sample size that is either too small or too large can affect the ability to extrapolate the results, with the latter increasing the detection of differences and accentuating statistical differences that are not clinically significant.

The complete question is:-

A recent survey indicated that the mean time spent on a music streaming service is 210 minutes per week for the population of a certain country. A simulation was conducted to create a sampling distribution of the sample mean for a population with a mean of 210. The following histogram shows the results of the simulation.Which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?

A. The samples were not selected at random.

B . The sample size was not sufficiently large.

C. The population distribution was approximately normal.

D. The samples were selected without replacement.

E. The sample means were less than the population mean.

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Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

For part B, the complete question is;

Use these results from a USA Today survey in which 510 people chose

to respond to this question that was posted on the USA Today website: "Should Americans

replace passwords with biometric security (fingerprints, etc)?" Among the respondents,

53% said "yes." We want to test the claim that more than half of the population believes that

passwords should be replaced with biometric security. Another memory trick commonly used is this: "If the P value is high, the null will fly." Given that a hypothesis test never results in a conclusion of proving or supporting a null hypothesis, how

is this memory trick misleading?

Answer:

Explained below.

Step-by-step explanation:

A) We are told to explain "If the P is low, the null must go"

What this means is that if the p-value is less than the significance level, we reject the null hypothesis!

B) We want to explain the statement;"If the P is high, the null will fly."

Now, what this means is that if the p-value is is larger than the significance level, we will fail to reject the null hypothesis.

Thus, the memory stick may be misleading because the statement "the null will fly" may imply that we have accepted the null hypothesis whereas we only failed to reject it!

C) It would not be unwise to use a significance level of 0.0483 because there is no proven reason why 0.01 and 0.05 are better.

Another reason is that in binomial probability distribution, the p-value at significance levels of 0.01 and 0.05 may not be gotten whereas it may be gotten if we use 0.0483.

Answer:

uh i dont know lol im new how do i use this thing bahahaha

Step-by-step explanation:

The expression of the given logarithmic function 2log(2/√5) is; D: -0.097

From logarithmic Identities, we know that;

log (x/y) = log x - log y

log (x * y) = log x + log y

Thus;

2log(2/√5) = 2[log 2 - log √5)

Now, log √5 can also be expressed as;

log √5 = ¹/₂log 5

Thus;

2log(2/√5) = 2[log 2 - ¹/₂log 5]

⇒ 2 log 2 - log 5

We are given the values;

log2≈0.301, log3≈0.447, log4≈0.602, log5≈0.699

Thus;

2log(2/√5) = 2 log 2 - log 5 = 2(0.301) - 0.699

⇒ -0.097

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Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

Answer:

Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Step-by-step explanation:

Answer:

Use the equation- Rise/Run

Step-by-step explanation:

First Rise up, go up or down then, Run left or right. It should create a right triangle and then you will be left with a fraction. Simplify the fraction and then there is your answer hope this helps!! :)

The requried a measure of the exterior angle ∠4 = 63°.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,

As we know that for a triangle, the sum of the remote interior angle is equal to the measure of the exterior angle.

So, from the figure.

31 + 32 = ∠4

∠4 = 63°

Thus, the requried measure of the exterior angle ∠4 = 63°.

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Answer: The answer is 1 1/4

Step-by-step explanation: 3/12 is the same as 1/4.

1/4 X 5 = 1 1/4

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

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The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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The exponential function that represents the number of members contacted after x days is given as follows:

\(N(x) = 3(3)^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

Hence the function is given as follows:

\(N(x) = 3(3)^x\)

The problem asks for the exponential function that represents the number of members contacted after x days.

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The correct compound inequality which represents the given statement is -6 < x < 6.

Compound inequalities are inequalities which are formed by combining two simple inequalities.

For example, 3 < x < 6 is a compound inequality which is a combination of x > 3 and x < 6.

Given statement is,

All real numbers that are greater than -6 but less than 6.

Let x represents the numbers satisfying the inequality.

All real numbers greater than -6 can be expressed as x > -6.

All real numbers that are less than 6 can be expressed as x < 6.

These two inequalities has to be combined.

x > -6 and x < 6

-6 < x < 6, which is the compound inequality.

Hence the compound inequality is -6 < x < 6.

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The market research department of a Company recommends that the Company to manufacture and market a new transistor radio after suitable test. The marginal cost of the company is 7000 - 2X  and marginal revenue is 10X - X/250.

Marginal cost is an extra cost per unit incurred when an extra unit of output produced or service rendered. Or in other words it can be said that marginal cost is an element of additional unit cost that incurred due to production of goods or services. Some time it is also considering as relevant cost or variable cost.

So in order to compute the transistor manufacturing company's marginal cost, marginal revenue and marginal profit of the company one shall equated the derivative function between them.

In micro economics technical relationship between the said marginal terms is written through derivative function:

Revenue = Price × Quantity Demanded,

Profit Maximize Point where Marginal cost is equal to marginal revenue;

MR = MC,

The marketing department also presents the following demand equation:

X = 5,000 - 500 P

P = 10 - (X ÷ 500), where P is Price and X is quantity demand.

Furthermore, the financial department provides the following cost equation:​

C(X) = 7, 000 + 2x

So the revenue function by the help of substitution method:

X = 5,000 - 500 P

Revenue = Price × Quantity Demanded,

Revenue =  10 - (X ÷ 500) × X

               =  10X - X^2 ÷ 500

Marginal Revenue! = 10X - !2X/500 = 10X - X/250

Marginal Cost =  7, 000 + 2 (5,000 - 500 P)

= 7000 + 10000 - 1000 P

= 17000 - 1000 ( 10 - (X ÷ 500))

= 17000 - 10000 - 2X

= 7000 - 2X

Therefore marginal revenue is revenue or additional earning made by a seller by selling an extra unit. Revenue is earned when extra unit is being sold.

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Answer:

-6 a b + b + a

Step-by-step explanation:

Simplify the following:

-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a

Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.

Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):

-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in -a b - 4 a b.

a b (-1) + a b (-4) = -5 a b:

-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in 3 a - a.

3 a - a = 2 a:

-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)

Hint: | Look for the difference of two identical terms.

2 b - 2 b = 0:

-(a b - b + a) - 5 a b + 2 a

Hint: | Distribute -1 over a b - b + a.

-(a b - b + a) = -a b + b - a:

-a b + b - a - 5 a b + 2 a

Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.

Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):

(-a b - 5 a b) + b + (-a + 2 a)

Hint: | Combine like terms in -a b - 5 a b.

a b (-1) + a b (-5) = -6 a b:

-6 a b + b + (2 a - a)

Hint: | Combine like terms in 2 a - a.

2 a - a = a:

Answer: -6 a b + b + a

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

The probability of observing heads (h) when tossing both coins simultaneously is 0.55.

We can use the Law of Total Probability to calculate the probability of observing heads (h) when we toss both coins simultaneously. The Law of Total Probability states that the probability of an event (h) is equal to the sum of the probabilities of the mutually exclusive events (fair coin and biased coin) multiplied by their respective probabilities of observing heads (h). Therefore, the probability of observing heads (h) when tossing both coins simultaneously is given by:

P(h) = P(h|f) * P(f) + P(h|b) * P(b)

= 0.5 * 0.5 + 0.6 * 0.5

= 0.55

Therefore, the probability of observing heads (h) when tossing both coins simultaneously is 0.55.

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The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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A numerical value for the acceleration due to gravity g on straigh line = 8.665

What is Straight Line?

Simply put, a straight line is a line devoid of bends. A straight line is one that has no curves and continues to infinity on both sides.

we need a table calculation for that see the attachment 1

vertical  axis = l cm

horizontal axis = T²(sec²)

slope from the graph

= l/T²

= 0.2197

So, g = 4 T² * l /T²

= 4 * (3.14)² * 0.2147

g = 8.6646

g = 8.665 m/sec²

The acceleration caused by gravity is expressed numerically as g on a straight line = 8.665.

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