your cell bill for the last month was $148.50 and you think this seems high. If you know that you talked on your phone for 221 minutes last month, how much should your bill have been?

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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Answer:

ω= 0.01 rad/s

Step-by-step explanation:

The given data is question is ,

Firstly let's find the linear speed. Which is

=> v = Circumference/time

=> v = 2πr/180s

=> v = 3.14 × 100ft ./ 90

=> v = 3.48 ft/s ≈ 1m/s

=> v = r\(\omega\)

=> \(\omega\) = v/r

=> \(\omega\) = 1/100

=> \(\omega\) = 0.01 rad/s

Answer:

use papamath it will give u the anwers

Step-by-step explanation:

Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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Answer: E

Step-by-step explanation:

Therefore, Aida used a 10% cost of living adjustment to get the budgeted amount for June of Year 2.

A graph is a visual representation of data that shows the relationship between different variables or data points. Graphs are used to present complex information in an easy-to-understand way, and they can be created using a variety of formats, including bar graphs, line graphs, scatter plots, and pie charts. Graphs are commonly used in many fields, including science, mathematics, business, and economics, to help people understand and interpret data more easily.

Here,

a. To find the cost of living adjustment (COLA), we can use the formula:

COLA = (budgeted amount - actual amount) / actual amount

Substituting the given values for June, we get:

COLA = ($1,320 - $1,200) / $1,200

COLA = $120 / $1,200

COLA = 0.1 or 10%

b. To find the budgeted amount for January of Year 2, we can use the fact that the budgeted amounts for the following year reflect a 5% increase over the cost of living adjustment. Since we already know the COLA is 10%, the budgeted amount for January of Year 2 would be:

Budgeted amount = Actual amount for January x (1 + COLA + 0.05)

Substituting the given values for January, we get:

Budgeted amount = $1,150 x (1 + 0.10 + 0.05)

Budgeted amount = $1,150 x 1.15

Budgeted amount = $1,322.50

Therefore, the budgeted amount for January of Year 2 is $1,322.50.

c. Let's call the previous year's actual amount for August "A". We know that the August actual amount for Year 2 is the exact amount that Aida had budgeted for, which is:

Budgeted amount = Actual amount for August x (1 + COLA + 0.05)

$1,320 = A x (1 + 0.08)

$1,320 = A x 1.08

A = $1,222.22 (rounded to the nearest dollar)

Therefore, the previous year's actual amount for August was $1,222.

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Complete question:

Aida created the following double bar graph. It illustrates the actual amount spent this year for household expenses per month and the budgeted amounts for the following year. The following year’s amounts reflect a 5% increase over the cost of living adjustment (COLA).

For June, the actual amount is $1,200 and the budgeted amount for Year 2 is $1,320.

a. What was the cost of living adjustment that Aida used to get the budgeted amount?

b. Determine the budgeted amount for January of Year 2.

c. The August actual amount was the exact amount Aida had budgeted for. This actual amount reflected an 8% increase over the previous year’s actual amount for August. What was the previous year’s actual amount for August rounded to the nearest dollar?

Answer:

B. 1/4

Step-by-step explanation:

For independent events

P(A and B) = P(A) • P(B)

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

P(B) = 1/8÷1/2

P(B) = (1/8)×2

P(B) = 2/8

P(B) = 1/4

Answer:

To create the equation, we'd write the following: Initial value - Amount initial value has decreased by = Remaining value. 15 (his starting number of sheep) - 3 (the number of sheep he sold) = 12 (the number of sheep he has left). Another example: John gets paid 20 to clean his neighbor's car.

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It is possible for a sample to follow a normal distribution, depending on the nature of the data being accumulated.

The regular distribution is a bell-shaped curve that is symmetric across the mean, and it's far typically used to model various natural phenomena and measurements in fields such as information, engineering, and social sciences.

If the data being gathered is continuous and the sample length is large sufficient, it is regularly assumed that the pattern follows a normal distribution.

This assumption is based at the critical limit Theorem, which states that the sampling distribution of the suggest of any independent, random variable will tend toward a ordinary distribution because the sample size increases.

But, it's far critical to notice that not all samples will observe a ordinary distribution, and in a few cases, different distributions may be greater suitable for the records being amassed.

It's far consequently essential to analyze the information and evaluate the assumptions being made before using the regular distribution as a model.

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Answer:

The value of P (A) is 0.00833.

The value of P (B) is 0.00139.

Step-by-step explanation:

It is provided that there are 10 acts on a talent show.

The two events are defined as follows:

A: First three acts dancer, singer and the guitarist in any order

B: The comedian first guitarist second and pianist third

(1)

Compute the number of ways to select 3 acts from the 10 as follows:

\({10\choose 3}=\frac{10!}{3!\cdot (10-3)!}=\frac{10!}{3!\cdot 7!}=120\)

There are 120 ways to select 3 acts from the 10 and only 1 way to select a dancer, singer and the guitarist in any order.

Compute the probability of selecting a dancer, singer and the guitarist in any order as follows:

\(P(A)=\frac{1}{120}=0.00833\)

Thus, the value of P (A) is 0.00833.

(2)

Compute the number of ways to select 3 acts from the 10 (without replacement) and with order as follows:

\(^{10}P_{3}=\frac{10!}{ (10-3)!}=\frac{10!}{ 7!}=720\)

There are 720 ways to select 3 acts from the 10 with order and only 1 way to select the comedian first guitarist second and pianist third.

Compute the probability of selecting the comedian first guitarist second and pianist third as follows:

\(P(B)=\frac{1}{720}=0.00139\)

Thus, the value of P (B) is 0.00139.

Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.

The F ratio is 1.2.

What is statistic?

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

30/25 = 1.2

In an ANOVA, this statistic is used in the F test to test the hypothesis that the group means are not equal to one another. The F ratio is calculated as follows:

Fobs=MSB/MSW

30/25 = 1.2

Where MSB is the mean square between the groups and MSW is the mean square within the groups.

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Answer:

The school will approximately raise 1500p.

Step-by-step explanation:

For part a) you're asked to complete the possibility space, this simply means to fill out in the provided chart with all possible outcomes for spinning the two spinners and adding the result of each.

You are already given two examples, particularly the case of landing a 2 and 1 (hence you get a 3) and landing a 8 and 3 (hence you get an 11). Just finish filling up the chart per the examples.

For part b) we must calculate the probability of having the outcome be 7. Assuming all sides of both spinners have the same probability of landing, we calculate this using classical probability so, as follows:

\(P(7)=\frac{n(7)}{n(all)}\)

Where \(P(7)\) represents the probability of getting seven, \(n(7)\) the number of ways the two spinners can land in which they add up to 7, and \(n(all)\) the number of all possible outcomes from spinning the two spinners. We are just doing the rule of "all favorable outcomes over all outcomes".

The total number of outcomes is 12, as there's only 12 ways the two spinners could land. The total number of ways we can get 7 is 3 (only by spinning 1 and 6, or 2 and 5, or 3 and 4). So, the probability of landing 7 is:

\(P(7)=\frac{n(7)}{n(all)}=\frac{3}{12}=\frac{1}{4}=.25\)

So, there's a 25% chance of getting a 7 (hence of winning at this game). This means, if 120 play, approximately a 25% of them will win - so, approximately 30 contestants will win.

The school is charging 20p for playing, so the 120 participants are paying 2400p. However, because approximately 30 people will win, the school will have to buy 30 lollipops that cost 30p each - so, at the end the school will raise approximately 2400p (total earnings of tickets) - 900p (total losses from people winning) = 1500p (total money raised).

The expressions for (s-r)(x) and (s×r) are  5x - (2x+3) and  5x × (2x+3) respectively and evaluated (s+r)(1) = 10.

Any mathematical statement that includes numbers, variables, and an arithmetic actiοn between them is knοwn as an expressiοn οr algebraic expressiοn. In the expressiοn 4m + 5, fοr instance, the wοrds 4m and 5 are separated frοm the variable m by the arithmetic symbοl +.

Anything with a variable value is anything whοse wοrth changes οver time. Typically, alphabetical letters like a, b, c, m, n, p, x, y, and z are used tο indicate expressiοn variables

Given r(x) = 2x+3

s(x) = 5x

(s-r)(x) ⇒ 5x - (2x+3)

(s×r)(x) ⇒ 5x × (2x+3)

Evaluating

(s+r)(1) ⇒ 5(1) + (2(1) + 3)

5(1) + (2(1) + 3)

= 5 + (2 + 3)

= 5 + 5

= 10

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Answer:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Step-by-step explanation:

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

2 albums

Step-by-step explanation                                                                                                                    32 times 4 =128-175

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer:

25

Step-by-step explanation:

(*￣3￣)╭

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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(a) The probability that a visitor will be flagged (i.e., fail at least one test) is 0.957 if they are genuinely a robot.

(b) If a visitor is genuinely a human, there is a 0.0068 probability that they will be marked (fail at least one test).

(c) Consider a visitor who is detected in (c). There is a 0.9 percent probability that the visitor is a robot.

This is due to the difference between the likelihood of a robot being flagged (0.957) and the likelihood of a human being flagged (0.0068). Therefore, the likelihood that a visitor who has been marked is a robot is 0.957 / (0.957 + 0.0068) = 0.9.

Probability is a measure of the possibility of an event occurring in probability theory. A number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty, is used to express it. An occurrence is more likely to occur the higher its probability. When there is uncertainty about the result of random phenomena like coin tosses or dice rolls, probability is utilized to characterize those events. It is also used to describe more foreseeably occurring occurrences like the occurrence of an earthquake or the adoption of a particular law.

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Answer:

A

Step-by-step explanation:

Answer: Pretty sure it should be 2.

Step-by-step explanation:

maybe -2 but i dont think so

I think the equation should be x² + 4x + 11 = 0, so I am giving the solution of the same.

Hope it helps.

If you have any query, feel free to ask.

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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