add 5m{3-m} and 5m {2+m} is​

Answer:

30°

Step-by-step explanation:

We know that the angles in triangles always add up to 180°. There is also a right angle in this triangle, which is 90°.

Using this policy, we can assume that:

(3x - 30) + x + 90 = 180

First, we need to combine like terms. We can combine the 3x and the x, and the -30 and the 90.

4x + 60 = 180

Subtract 60 from both sides.

4x = 120

Divide by 4 on both sides.

x = 30

The proportion of people in the area who would purchase food from the restaurant is greater than 60%.

Hypothesis testing is used to determine if the proportion of people in a particular area that would purchase food from a particular restaurant is greater than 60%. The null hypothesis, denoted by H0, is that the proportion of people who would purchase food from the restaurant is 60%, or p=0.6. The alternative hypothesis, denoted by H1, is that the proportion of people who would purchase food from the restaurant is greater than 60%, or p>0.6.

To conduct the test, we can use a one-sample proportion test, which is a type of statistical test that compares an observed proportion to a hypothesized proportion. To calculate the test statistic, we can use the formula:

Test statistic = (observed proportion - hypothesized proportion) / (standard error of the proportion)

In this case, the observed proportion is 320/500 = 0.64 and the hypothesized proportion is 0.6. Therefore, the test statistic is:

Test statistic = (0.64 - 0.6) / (square root of (0.6 * (1 - 0.6) / 500))

Test statistic = 0.04 / (square root of (0.6 * 0.4 / 500))

Test statistic = 0.04 / 0.0341

Test statistic = 1.17

The test statistic is 1.17, which is greater than the critical value of 1.645. Therefore, we can reject the null hypothesis and conclude that the proportion of people in the area who would purchase food from the restaurant is greater than 60%.

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The pirate game involves proposing coin divisions, voting on proposals, and executing unsuccessful proposers. Tie votes give the strongest pirate an extra vote.

Pirate A proposes a division of coins, and all pirates vote on whether to accept it. If the proposal gets a majority vote, it is accepted and the game ends. If the proposal fails to get a majority vote, Pirate A is executed, and Pirate B gets a turn to propose a division.

The same rules apply, except that if there is a tie vote, the strongest remaining pirate gets an additional vote to break the tie.

The game involves a strategic decision-making process among the pirates, as each pirate wants to maximize their share of the coins while avoiding being executed. Pirate A must carefully consider their proposal to gain majority support. If they fail to do so, Pirate B has an opportunity to propose a more favorable division.

The presence of a tie-breaker vote for the strongest pirate adds an extra layer of complexity, as it can influence the outcome and potentially affect the division of coins. Ultimately, the game is a test of negotiation skills, strategic thinking, and alliances among the pirates in order to reach a favorable outcome for themselves.

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Therefore , the solution of the given problem of unitary comes out to be the response is option b 455.

By combining what was learned and implementing this variable technique, which also includes all supplemental information from two people who used a particular tactic, the task can be finished. In other words, if the desired result occurs, either the entity specified in the expression will also be identified, or both crucial procedures will actually skip the colour. A refundable fee of Rupees ($1.01) may be needed for forty pens.

Here,

The following combination formula determines how many ways a company can choose three candidates from a shortlist of fifteen:

=> C(15,3) = 15! / (3! (15-3)!)

=>  (15 x 14 x 13) / (3 x 2 x 1)

=> 455

Consequently, the response is (b) 455.

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Answer:

0.011, 0.5, 0.625, 1.0625, 1.25

Step-by-step explanation

Therefore , the solution of the given problem of probability comes out be probability of don't get green or purple candy = 0.75 .

Calculating the likelihood that a statement is true or that an event will occur is the focus of the branch of mathematics known as probability theory. Any number from range 0 to 1, where 1 represents certainty and 0 normally represents possibility, may be used to represent chance. The likelihood that a particular event will occur is depicted in a probability diagram.

Here,

Given :

there are 3 green, 2 purple, 4 yellow, 6 red, and 5 orange candies in the skittles.

total candies = 3 + 2 + 4 + 6 +5 =20

To find the probability that you don't get green or purple candy :

So , the probability of green candies is  = 3/20 = 0.15

and  the probability of purple candies is = 2/20 = 1/10 = 0.1

The probability of don't get green or purple candy

=> 0.15 + 0.1

=> 0.25

and 1 - 0.25 = 0.75

Therefore , the solution of the given problem of probability comes out be  probability of don't get green or purple candy = 0.75 .

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Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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By increasing the sample size to 248, the researcher can be more confident in their estimate of the mean drying time for the type of cement being studied.

To determine the sample size required to estimate the mean drying time for a certain type of cement, the following formula can be used:

\(n = ((Zα/2 \times σ) / E)^2\) where: Zα/2 is the critical value of the standard normal distribution for the desired confidence level (99% in this case), which is 2.576 σ is the standard deviation of the population (68 minutes)E is the maximum margin of error that can be tolerated (7 minutes).

Substituting these values into the formula, we get:

\(n = ((2.576 \times 68) / 7)^2\) = 247.36. Rounding up to the nearest whole number, the sample size required is 248.

This means that if the researcher takes a random sample of 248 drying times and calculates the mean drying time, with 99% confidence we can say that the true population mean drying time is within plus or minus 7 minutes of the sample mean.

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Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

The probability of selecting a sugar free dessert and drink is 2/5

Number of sandwiches = 6

Number of dessert = 3

Number of drinks = 5

Sugar free drinks = 3

Sugar free dessert = 2

Recall :

Probability = required outcome / Total possible outcomes

P(both dessert and drink are sugar free) :

(sugar free dessert) × p(sugar free drink)

(2 /3) × (3 / 5) = 6/15 = 2 / 5

Hence, the probability of selecting a sugar free dessert and drink is 2/5

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Answer:

Step-by-step explanation:

Expand · Evaluate Fractions · Linear Equations · Quadratic Equations ... 7 + 4 s = 10 ( 6 - 9 s ). 7+4s=10(6−9s) ... 7 + 4 s = 10 ( 6 - 9 s ).

Answer:

-10b × 90

Step-by-step explanation:

-10 * b =-10b

10 *9=90

Your welcome :)

Answer:

y = mx + b equals y = the slope of the line(x) + the y-intercept

First find the slope of the line using rise/run, which is 12/-2 so the slope is -6

To find the y-intercept, you need to look for the point where x = 0 (or the point that lies on the y-axis), which is when y = -4 so the equation is:

y = -6x - 4

There are 4 minutes in 1/15 of an hour. Therefore, 34 minutes is equal to 34/15 of an hour or 2.266666667 hours.

4 minutes is equal to 1/15 of an hour. Therefore, when multiplying 4 minutes by 34, we must first convert the minutes into hours. To do this, we divide 34 minutes by 15. This gives us 2.266666667 hours. This is the equivalent of 4 minutes multiplied by 34.

By understanding that 4 minutes is equal to 1/15 of an hour, we can apply this to any number of minutes to convert them into hours. For example, if we had 48 minutes, we would divide 48 by 15 and get 3.2 hours. We can also do this in reverse. For instance, if we wanted to convert 3.2 hours into minutes, we would multiply 3.2 by 15, giving us 48 minutes.

By understanding the relationship between minutes and hours, we can easily convert between the two. This is useful for measuring time or for calculating how long a task will take.

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Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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X= 4

Step-by-step explanation:

:)

Answer:X =1

Step-by-step explanation:

The idea about what the company believes to be right, specifically regarding minimizing air emissions and its influence on supplier contracts, is an example of a value or ethical stance.

Values represent the guiding principles and beliefs that shape an individual's or organization's behavior and decision-making processes. In this case, the company's belief in minimizing air emissions aligns with its values and serves as a criterion for selecting suppliers. It reflects the company's commitment to environmental responsibility and sustainability.

Values play a significant role in shaping corporate culture, defining priorities, and establishing ethical standards within an organization. They serve as a compass for decision-making, guiding actions that align with the organization's core principles and objectives.

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The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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Answer:

40.9

Step-by-step explanation:

In ΔRST, the measure of ∠T=90°, ST = 71 feet, and RS = 94 feet. Find the measure of ∠S to the nearest tenth of a degree.

The coordinates of the resulting triangle are L'(4, 1), M'(0, 1), and N'(4, 3)

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

Triangle LMN has vertices at L(−1, 4), M(−1, 0), and N(−3, 4

This means that

The rotation rule of 90° clockwise around the origin is

(x,y) becomes (y,-x)

So, we have

Image = (y, -x)

Substitute the known values in the above equation, so, we have the following representation

L'(4, 1), M'(0, 1), and N'(4, 3)

Hence, the coordinates of the resulting points, are L'(4, 1), M'(0, 1), and N'(4, 3)

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Answer:L′(4, 1), M′(0, 1), N′(4, 3)

Step-by-step explanation:

I am in the middle of taking the quiz and I believe this is the correct answer!

To express the incidence proportion ratio comparing oat bran to cornflakes in terms of a percentage, we need additional information such as the actual values of the incidence proportion ratio.

Without specific data, it is not possible to determine the exact percentage.

However, I can explain how to interpret the given answer options in terms of percentage comparisons:

a. 55% lower: This implies that the incidence proportion ratio for oat bran is 55% lower than that of cornflakes. In other words, oat bran has a lower incidence proportion compared to cornflakes by 55%.

b. 45% lower: This means that the incidence proportion ratio for oat bran is 45% lower than that of cornflakes. Oat bran has a lower incidence proportion compared to cornflakes by 45%.

c. 55% higher: This suggests that the incidence proportion ratio for oat bran is 55% higher than that of cornflakes. Oat bran has a higher incidence proportion compared to cornflakes by 55%.

d. 45% higher: This indicates that the incidence proportion ratio for oat bran is 45% higher than that of cornflakes. Oat bran has a higher incidence proportion compared to cornflakes by 45%.

Without specific values or additional context, it is difficult to determine the correct answer option. It would be best to refer to the actual data or study results to determine the accurate percentage comparison between oat bran and cornflakes in terms of the incidence proportion ratio.

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The local maximum and minimum values and saddle point(s) of the function f(x, y) = 2x^3 + xy^2 + 5x^2 + y^2 +9 are

a) Local minimum: (0, 0)

b) Local minimum: (-5/3, 0)

c) Local maximum and saddle point: (-1, -1)

To find the local maximum and minimum values and saddle point(s) of the function f(x, y) = 2x^3 + xy^2 + 5x^2 + y^2 +9, we need to find the critical points, which are the points where the gradient of the function is zero or undefined.

First, we find the partial derivatives of f(x, y) with respect to x and y

∂f/∂x = 6x^2 + 2y + 10x

∂f/∂y = 2xy + 2y

Setting both partial derivatives to zero, we get

6x^2 + 2y + 10x = 0

2xy + 2y = 0

Simplifying the second equation, we get:

y(2x + 2) = 0

Therefore, either y = 0 or 2x + 2 = 0.

Case 1: y = 0

Substituting y = 0 into the first equation, we get:

6x^2 + 10x = 0

Solving for x, we get:

x(6x + 10) = 0

Therefore, either x = 0 or x = -5/3.

Case 2: 2x + 2 = 0

Solving for x, we get:

x = -1

Now we have three critical points: (0, 0), (-5/3, 0), and (-1, -1).

To determine the nature of these critical points, we need to compute the second partial derivatives of f(x, y):

∂^2f/∂x^2 = 12x + 10

∂^2f/∂y^2 = 2x + 2

∂^2f/∂x∂y = 2y

Evaluating these at each critical point, we get

(0, 0):

∂^2f/∂x^2 = 10 > 0 (minimum)

∂^2f/∂y^2 = 2 > 0 (minimum)

∂^2f/∂x∂y = 0

(-5/3, 0):

∂^2f/∂x^2 = -2/3 < 0 (maximum)

∂^2f/∂y^2 = -2 < 0 (maximum)

∂^2f/∂x∂y = 0

(-1, -1):

∂^2f/∂x^2 = -2 < 0 (maximum)

∂^2f/∂y^2 = 0

∂^2f/∂x∂y = -2 < 0 (saddle point)

Therefore, the critical points (0, 0) and (-5/3, 0) are both local minima, while the critical point (-1, -1) is a local maximum and saddle point.

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Answer:

the answer is c, (-3,-4)

Step-by-step explanation:

the rule for a 180 degree rotation is: (x,y) ---> (-x,-y)

Hope this helps! :)

Answer: 48 stard

Step-by-step explanation:

12 stars = 30 balloons

? = 120 balloons

Solve

120/30 x 12 = 48

Answer:

48 stars

Step-by-step explanation:

This is an equation where you have to find an equivalent fraction.

So, it is given to us that 12/30 = something (x) /120.

So, what happened to 30 to make it 120 in the respective denominators? It was multiplied by 4.

So, that’s what you do to the numerator, multiply it by 4.

So 12 x 4 = 48.

Now put it back as a fraction 12/30 = 48/120

Answer:

Look at the image

Step-by-step explanation:

All real numbers because it goes left and right infinity

Answer:

6

Step-by-step explanation:

30-21=9

9/3=3

3x2=6

Answer:

16

Step-by-step explanation:

30 - 21 ÷ 3 x 2 = 16

30 - 7 x 2

30 - 14

16

Account earning 2.8% interest to grow to $11,000.

Account earning 3.0% interest compounding daily to grow to $9,000.

Account balance  earning 4.0% interest will be approximately $11,550.

For the first scenario, we can use the formula for compound interest: A = \(P(1 + r/n)^(^n^t^)\), where A is the final amount, P is the principal (initial deposit), r is the interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the time in years.

In this case, we have A = $11,000, P = $6,000, r = 0.028, and we need to solve for t. Plugging in these values, we get 11,000 = \(6,000(1 + 0.028/n)^(^n^*^t^)\). Solving for t gives us approximately 8.5 years.

In the second scenario, the interest is compounded daily, so we need to adjust the formula accordingly. Here, A = $9,000, P = $3,000, r = 0.03, and again we need to solve for t. Using the formula A = \(P(1 + r/n)^(^n^t^)\), we get 9,000 = 3,000(1 + 0.03/365)^(365*t). Solving for t gives us approximately 8.2 years.

For the final scenario, we need to calculate the account balance after 4 years with three separate deposits. The interest is compounded annually, so we can use the formula A = \(P(1 + r)^t\). The first deposit of $3,000 will grow to \($3,000(1 + 0.04)^4\) = $\(3,000(1.04)^4\) ≈ $3,432.

The second deposit will grow to $\(3,000(1 + 0.04)^3\) = $\(3,000(1.04)^3\) ≈ $3,259. The third deposit will grow to $\(3,000(1 + 0.04)^2\) = $\(3,000(1 + 0.04)^2\)≈ $3,122. Adding these amounts together, the account balance after 4 years will be approximately $3,432 + $3,259 + $3,122 + $3,000 = $11,813.

Rounding to the nearest dollar, the balance will be $11,550.

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Answer:

it c

Step-by-step explanation:

Answer:

Function B has a greater slope than function A.