Estimate a 15% tip on a lunch bill of $78.42 by first rounding the bill amount to the nearest ten dollars.

Answer:

a option

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

Answer: $50

Step-by-step explanation:

The ratio of Mary's share to Katherine's share to Alex's share is 5:4:1, which means Mary pays 5/10 of the bill, Katherine pays 4/10 of the bill, and Alex pays 1/10 of the bill.

To find the ratio, we can write their contribution as a fraction of the total parts and then solve the fractions then they'll have the same denominator.

So, Mary's share is 5/10, Katherine's share is 4/10, and Alex's share is 1/10.

To convert this as a ratio, we write 5:4:1, where each number represents the number of parts each person pays, and the colon separates each person's contribution.

Therefore, the ratio of Mary's share to Katherine's share to Alex's share is 5:4:1

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Answer:

3×0+1=1

Step-by-step explanation:

i hope that helps

We need to solve the following equation:

In order to do that, we have to isolate the "x" variable on the left side.

The value of x is 6.

To see your eyes reflected in the mirror, the mirror needs to be tilted at an angle of 33.02°.

Given,

You look down at a little vertical mirror hanging on the wall as you are standing 1.55 meters in front of it. You may see your shoes reflected in this mirror. How far should the mirror be slanted for you to see your eyes mirrored if your eyes are 1.95 meters above your feet? (The mirror is still in the same place, but its angle to the vertical has changed.)

Now, by assuming we have,

The height at which the eyes are above the feet y = 1.95

The distance between the person and wall x = 1.55

From a triangle,

tan∅ = (y/2) / x

tan∅ = (1.95/2) / 1.55

∅ = 33.02°

Hence, the mirror should be tilted for you to see your eyes reflected in the mirror by an angle of 33.02°.

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Answer:

x(x + 1)(x + 2) = 3,333(x + x + 1 + x + 2)

x(x² + 3x + 2) = 3,333(3x + 3)

x³ + 3x² + 2x = 9,999x + 9,999

x³ + 3x² - 9,997x - 9,999 = 0

x = 99, so x + 1 = 100 and x + 2 = 101

99 × 100 × 101 = 999,900

The sum of the digits in this product is 36.

The average speed of the first plane is 339.5 mph, and the average speed of the second plane is 97 mph.

To find the average speed of each plane, we can use the formula:

Speed = Distance / Time

Let's assign variables to the speeds of the two planes. Let's say the speed of the second plane is 'x' mph. Since the first plane is traveling 3.5 times as fast, the speed of the first plane would be 3.5x mph.

Now, we know that both planes have traveled for 6 hours and are 1455 miles apart. Since they are traveling in the same direction, the distance between them will be the difference of their distances. Therefore, we have:

Distance of the first plane = 3.5x * 6 = 21x miles
Distance of the second plane = x * 6 = 6x miles

The difference between their distances is 1455 miles, so we can set up the equation:

21x - 6x = 1455

Combining like terms, we get:

15x = 1455

Dividing both sides by 15, we find:

x = 97

So, the speed of the second plane is 97 mph, and the speed of the first plane is 3.5 * 97 = 339.5 mph.

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Answer: x < -1

Step-by-step explanation:

-5x-15>10+20x

-5x-15-20x>10'-25x-15>10

-25x-15>10

-25x>10+15

-25x>25

x < 25 / -25

=

x < -1

The probabilities of the possible outcomes obtained from tossing a fair coin two times are;

(a) Pr(0 heads) = 1/4

(b) Pr(1 head) = 1/2

(c) Pr(2 heads) = 1/4

The probability of an event is the ratio of the number of required outcome to the number of possible outcomes.

The equiprobable sample space of tossing a fair coin two times is; {HH, HT, TH, TT}, where;

H = Heads

T = Tails

The sample space indicates that there are 4 possible outcomes

(a) The possibility of getting 0 heads, is to get TT, therefore, the probability of getting zero heads, Pr(0 heads) = TT = 1/4

(b) The possibility of getting 1 head is to get. HT or TH, therefore;

The probability of getting 1 head, Pr(1 heads) = 2/4 = 1/2

(c) The number of possibility of getting 2 heads, is to get HH = 1

Therefore, the probability of getting 2 heads, Pr(2 heads) = 1/4

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Answer:

Puede ser Asi:

\( {10}^{6} = 1000000\)

Tambien puede ser:

\(1000000 \div 10 = 100000\)

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Normal distributions are frequently employed in the natural and social sciences to describe real-valued regressors with uncertain distributions, normal distributions are essential to statistics.

The central limit theorem is one reason they are significant.

This claim argues that, in some circumstances, the average of many samples (observations) of a random variable with finite variance and mean is itself a random variable, whose distribution tends to become normal with an increase in sample size.

Because of this, distributions of physical quantities that are meant to be the culmination of multiple separate processes, such as error margins, frequently resemble normal distributions.

Only the normal distribution has additional cumulants after the first two that are zero. It is also the continuous distribution with the highest level of entropy for a given mean and variance.

Assuming that the mean and variance are finite, Geary has shown that the normal distribution is the only distribution in which the mean and variance calculated from a collection of independent drawings are independent of one another.

The normal distribution is a form of elliptical distribution. The normal distribution is symmetric about its mean and non-zero over the whole real line.

Consequently, it could not be an appropriate model for variables that are inherently positive or highly skewed, such as a person's weight or the value of a share.

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1) Whenever we face a matrix whose number of rows (m) is equal to the number of columns (n) like:

2) We can call them:

The probability that z lies between -2.41 and 0 is approximately 0.9911.

To find the probability that a standard normal variable, z, falls within a specific range, we can use the standard normal distribution table or a statistical calculator.

In this case, we want to find the probability that z lies between -2.41 and 0. By referencing the standard normal distribution table or using a calculator, we can determine the area under the curve corresponding to this range. The resulting value represents the probability of z falling within that range.

Approximately 0.9911 is the probability that z lies between -2.41 and 0 when rounded to four decimal places. This means that there is a high likelihood (approximately 99.11%) that a randomly chosen value of z from a standard normal distribution falls within this range.

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Answer:

Graphing, Substitution, and Elimination.

Step-by-step explanation:

Graphing: Graphing is the best method to use when introducing a new student to solving systems of two equations in two variables because it gives them a visual to recognize what they are looking for. Graphing is less exact and often takes more time than the other methods. I only recommend graphing to find a solution if the problem comes with a graph already drawn and the intersection appears to be on an exact coordinate.

Substitution: Substitution gives the advantage of having an equation already written for the second variable when you find the first one. Substitution is best used when one (or both) of the equations is already solved for one of the variables. It also works well if one of the variables has a coefficient of 1.

Elimination: Elimination is the method that I use almost every time. If you are not sure which method to use, I recommend that you use elimination. Elimination is best used when both equations are in standard form (Ax + By = C). Elimination is also the best method to use if all of the variables have a coefficient other than 1.

I hope this gives you some idea about which method you should use. All three methods will give the same solution. Also, you should always check your answer in both equations to make sure it is correct.

Answer:

-2

Step-by-step explanation:

6(7b + 4) = -60

First you have to foil and then that would be:

42b + 24 = -60

Subtract 24 from the left side

42b = -84

Divide both sides by 42

b = -2

The measure of each side of the smaller octagon is 9cm. Therefore, Enter 9

Given that:

The ratio of the sides of two similar regular octagons is 3:11.

The measure of each side of the larger octagon is 33

The measure of each side of the smaller octagon is Ci

we can write that:

smaller octagon : larger octagon  = 3 : 11

smaller octagon / larger octagon  = 3 / 11

smaller octagon / 33  = 3 / 11

smaller octagon = (3 × 33)/11 = 99/11 =  9 cm

Thus, Ci =  9 cm

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The appropriate statistical test to use is the two-sample t-test. This test compares the means of two independent samples and determines if there is a significant difference between them.

In this scenario, the goal is to compare the mean amount of money spent on food for two groups: students who live on campus and students who live off campus. Since the two groups are independent of each other, the two-sample t-test is the appropriate choice.

The two-sample t-test compares the means of the two groups and calculates a t-statistic and a p-value. The t-statistic measures the difference between the means relative to the variability within each group, while the p-value indicates the probability of observing such a difference by chance alone.

By conducting a two-sample t-test on the collected data from the random samples of 40 students from each group, we can determine if there is evidence of a significant difference in the mean amount of money spent on food between the two groups. The null hypothesis assumes that there is no difference between the means, while the alternative hypothesis suggests that there is a significant difference. The p-value obtained from the test will determine if there is sufficient evidence to reject the null hypothesis and conclude that there is a difference in the mean amount spent on food between the two groups.

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The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

Answer:

C

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally.

BE is such a line , then

\(\frac{AE}{ED}\) = \(\frac{AB}{BC}\) ( substitute values )

\(\frac{9}{5}\) = \(\frac{9.2}{BC}\) ( cross- multiply )

9 BC = 46 ( divide both sides by 9 )

BC ≈ 5.1 ( to the nearest tenth )

Then

AC = AB + BC = 9.2 + 5.1 = 14.3

Answer:

the total amount of animals in McDonald's farm is missing, so I looked for a similar question and found the attached image:

McDonald can earn:

15 cows x $250 = $3,750

2 horses x $250 = $500

20 sheep x $200 = $4,000

25 goats x $200 = $5,000

17 chickens x $50 = $850

total = $14,100

Answer:

Area: 7, because there are 7 squares.

Perimeter: 14.

Step-by-step explanation:

The profit can be obtained by subtracting the cost from the revenue. The profit from producing and selling 2 items for the company is $498.

The cost for producing items is given as 50x + 300, where x represents the number of items produced. The revenue for selling 3 items is given as 900 - 0.5x^2.

To calculate the profit from producing and selling 2 items, we substitute x = 2 into the cost and revenue expressions.

Cost for producing 2 items:

Cost = 50x + 300

Cost = 50(2) + 300

Cost = 100 + 300

Cost = 400

Revenue from selling 2 items:

Revenue = 900 - 0.5x^2

Revenue = 900 - 0.5(2)^2

Revenue = 900 - 0.5(4)

Revenue = 900 - 2

Revenue = 898

Profit from producing and selling 2 items:

Profit = Revenue - Cost

Profit = 898 - 400

Profit = 498

Therefore, the profit from producing and selling 2 items for the company is $498.

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Answer:

50p

Step-by-step explanation:

you can add them all up together. 27+3+6+14=50!

Answer:

The expression is not factorable with rational numbers.

x² − 4x + 7

Answer:

5.928 liters

Step-by-step explanation:

about 6 liters

Answer:

5.928

Step-by-step explanation:

1,000 Milliliters = 1 Liter

5,928/1,000 = 5.928

5.928 Liters

Answer:

Step-by-step explanation:

1.5

Hope that helps!

Answer:

1.5

Step-by-step explanation:

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