samuel wants to buy a snake for 288 and the pet store owner wants hin to make 6 equal payments of 49 what error did the pet store owner make

Answer:

see below

Step-by-step explanation:

x and 80 are adjacent, supplementary angles

Supplementary angles add to 180

x+80 =180 degrees

Subtract 80 from each side

x+80-80=180-80

x=100

Step-by-step explanation:

Given:

A+B+C= π

<=> 3A+3B+3C = 3π

<=> cos(3A+3B) = - cos3C

<=> cos3A.cos3B-sin3A.sin3B = - cos3C

<=> cos3A.cos3B = sin3A.sin3B  - cos3C (1)

similarly  apply for the other two angles, we have:

Grouping three equations, (1) + (2) + (3), we have:

<=> cos3A.cos3B+cos3B.cos3C+cos3C.cos3A = sin3A.sin3B + sin3B.sin3C + sin3C.sin3A - ( cos3A  + cos3B + cos3C )

= 1  

Hope it can find you well.

Using the sum of angles in a triangle and cosine identities, we proved that cos(3A)cos(3B) + cos(3B)cos(3C) + cos(3C)cos(3A) equals 1.

Given that A + B + C = π, we will use trigonometric identities and properties to prove the required equation.

Hence, we have proven that cos(3A)cos(3B) + cos(3B)cos(3C) + cos(3C)cos(3A) = 1 for angles A, B, and C summing up to \pi.

1/2 : the probability of getting an even  number when a six-sided die is  rolled.

1/6 : the probability of getting a six when a six-sided die is rolled.

1/7 :  the probability of randomly picking a vanilla-scented candle from a set of 3 vanilla-scented candles, 8 rose-scented candles,  and 10 lavender-scented candles.

1/8 : the probability of selecting a girl named Maria to be line leader from a class of 32 girls in which 4 students are named Maria.

The expected value for the player to play one time in American roulette is -$0.05. This suggests that, on average, the player can expect to lose $0.05 every time they play the game.

The expected value for the player to play one time in American roulette can be calculated by multiplying the probability of winning by the amount the player wins and subtracting the probability of losing. In this case, the probability of winning is 1/38, since there is one winning number out of the 38 possibilities. The amount the player wins is $35. The probability of losing is 37/38, since there are 37 losing numbers out of the 38 possibilities. Using these values, the expected value can be calculated as follows:

Expected value = (1/38 * $35) - (37/38 * $1) = -$0.0526

Rounded to the nearest cent, the expected value is -$0.05. This means that, on average, the player can expect to lose $0.05 every time they play the game.

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The expected value for a player betting on a single number in American roulette is approximately -$0.03, indicating an average loss of 3 cents per play.

The question asks for the calculation of the expected value for a player betting on a single number in American roulette.

To find the expected value, we consider the winnings and the probability of winning.

In American roulette, there are 38 equally spaced slots with the numbers 00, 0, and 1 through 36, which means the probability of winning for a player when betting on a specific number is 1/38, and the probability of losing is 37/38.

The payoff for a win is $35 plus the return of the original $1 bet, for a total of $36. If the bet is lost, the player loses their $1 bet.

Using these payouts and their associated probabilities, we can calculate the expected value (EV) as follows:

→ EV = (Probability of Winning) × (Winning Amount) + (Probability of Losing) × (Loss Amount)

→ EV = (1/38) × $36 - (37/38) × $1

To calculate the exact value:

→ EV = (1/38) × 36 - (37/38) × 1

→ EV ≈ 0.9474 - 0.9737

→ EV ≈ -$0.0263

When rounding to the nearest cent, the expected value is approximately -$0.03. This means, on average, the player will lose about 3 cents per play.

Answer:  314

Step-by-step explanation:

3.14 * 100=  314

Answer:

314 feet

Step-by-step explanation:

Circumference of a circle is 2pi*r

Radius = 100/2

Circumference = 2*3.14*50 = 314 feet

Answer:

it is b

Step-by-step explanation:6 square

Answer:

b

Step-by-step explanation:

Answer:

$2375.70

Step-by-step explanation:

5.68x=13,494

x=2375.70

Answer:

u+v= -13i-9j

Step-by-step explanation:

u=-7i - 5j and v= -6i - 4j

u+v=-7i-5j+(-6i-4j)=-7i-5j-6i-4j

u+v=-13i-9j

Answer:

U + V​= i-9j

Step-by-step explanation:

hello :

U=-7i - 5j and V= -6i - 4j so :  U + V​=(7i-6i)+(-5j-4j)

U + V​= i-9j

Answer:25 %

Step-by-step explanation:

Given

Earlier machine was producing 52 ice cream per minute and

Now it is Producing 65 ice creams per minute

So percentage increase of the machine [tex]=\frac{\text{final-Initial}}{\text{Initial}}\times 100[/tex]

[tex]=\frac{65-52}{52}\times 100[/tex]

[tex]=\frac{13}{52}\times 100[/tex]

[tex]=\frac{1}{4}\times 100=25\ \%[/tex]

So there is increase of 25 % in speed

The music class is 4 times farther from her home than the dance class.

To find the number of times farther the music class is from her home than the dance class, we first need to determine the distance of each class from her home. The dance class is 3 miles away, and the music class is 12 miles away. To get the ratio of these distances, we divide the distance to the music class by the distance to the dance class. Therefore, the equation that represents the number of times farther the music class is from her home is:

12 miles / 3 miles = 4

So, the music class is 4 times farther from her home than the dance class.

Answer:

pictograph

Step-by-step explanation:

i got it right :) so yeah trust me

Answer:

Only 0.0668 of the candidates, or 6.68%, have a GPA above 3.9.

Step-by-step explanation:

The GPA, according to the question, is a random variable normally distributed. A normal distribution is determined by its parameters. These parameters are the population mean, [tex] \\ \mu[/tex], and the population standard deviation, [tex] \\ \sigma[/tex]. The normal distribution for GPA has a [tex] \\ \mu = 3.3[/tex], and [tex] \\ \sigma = 0.4[/tex].

To find probabilities related to normally distributed data, we can use the standard normal distribution. To use it, we first need to find the corresponding standardized score or z-score for the value we want to obtain the probability. This value, in this case, is x = 3.9. The related z-score or standardized value is given by the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

A z-score tells us the distance from the mean in standard deviations units. A negative value indicates that the value is below the mean. A positive value is, conversely, above the mean.

And we already have all the necessary data to use [1].

Thus

[tex] \\ z = \frac{3.9 - 3.3}{0.4}[/tex]

[tex] \\ z = \frac{0.6}{0.4}[/tex]

[tex] \\ z = 1.5[/tex]

This value for z tells us that the "equivalent" raw score, x = 3.9, is above the mean, and it is at 1.5 standard deviations units from the population mean.

We can find the probabilities for standardized values in the cumulative standard normal table, available on the Internet or in Statistic books (we can also use statistical packages or even spreadsheets).

To use the cumulative standard normal table, we have the z-score as an entry. With this value, we find the z column on this table, and, since it is z = 1.5, we only need to select the first column (which has two decimal places, that is, .00). Then, the cumulative probability for P(z<1.50) = 0.9332.

However, we are asked for the percent of candidates that have a GPA above 3.9 (z-score = 1.50). This probability is the complement of P(z<1.50) or 1 - P(z<1.50). Mathematically

[tex] \\ P(z<3.9) + P(z>3.9) = 1[/tex]

[tex] \\ P(z<1.50) + P(z>1.50) = 1[/tex] (standardized)

[tex] \\ P(z>1.50) = 1 - P(z<1.50)[/tex]

[tex] \\ P(z>1.50) = 1 - 0.9332[/tex]

[tex] \\ P(z>1.50) = 0.0668[/tex]

That is, only 0.0668 of the candidates, or 6.68%, have a GPA above 3.9.

We can see this probability in the graph below.

The number line to model the expression 1/8 - (-3/4) would start at 1/8, and move 6/8 steps to the right to reach 7/8 because subtracting a negative is the same as adding a positive.

To solve the mathematical expression 1/8 - (-3/4), we need to understand that subtracting a negative number is equivalent to adding a positive number. Hence, we rewrite the expression as 1/8 + 3/4.

Before you can add these two fractions, they must have a common denominator. The least common denominator (LCD) for 8 and 4 is 8, so we rewrite 3/4 as 6/8 to match the denominator of 1/8.

Now, you can add 1/8 + 6/8 to get 7/8.

A number line that models this expression would start at 1/8 and go forward 6/8 (equivalent to 3/4) steps to end at 7/8.

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To model the expression 1/8 - (-3/4) on a number line, you would first convert the expression to 1/8 + 3/4 by changing the minus negative to a plus. Then, find a common denominator and add the fractions to get 7/8. This result is represented on a number line by starting at 1/8 and moving right to reach 7/8.

To model the expression 1/8 - (-3/4) on a number line, we need to understand that subtracting a negative is the same as adding its positive counterpart. Therefore, the expression simplifies to 1/8 + 3/4. To add these fractions together, they must have a common denominator. The least common denominator for 8 and 4 is 8. So, we convert 3/4 to 6/8, since 3 multiplied by 2 gives us 6, and 4 multiplied by 2 gives us 8. Adding 1/8 to 6/8 gives us 7/8.

On a number line, we would start at the point representing 1/8 and then move to the right by 6/8 (which represents 3/4) to arrive at 7/8. This portrays the answer to our initial expression, 1/8 - (-3/4) = 7/8.

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Answer:

a) [tex]A(t) = 77000(1.01375)^{4t}[/tex]

b)

The amount of money in the account at t = 0 years is $77,000.

The amount of money in the account at t = 3 years is $90,711.

The amount of money in the account at t = 6 years is $106,864.

The amount of money in the account at t = 10 years is $132,961.

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

Suppose that $77,000 is invested at 5 1/2% interest, compounded quarterly.

This means that, respectively, [tex]P = 77000, r = 0.055, n = 4[/tex]

a) Find the function for the amount to which the investment grows after t years.

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 77000(1 + \frac{0.055}{4})^{4t}[/tex]

[tex]A(t) = 77000(1.01375)^{4t}[/tex]

b) Find the amount of money in the account at t=0,3, 6, and 10 years.

[tex]A(0) = 77000(1.01375)^{4*0} = 77000[/tex]

The amount of money in the account at t = 0 years is $77,000.

[tex]A(3) = 77000(1.01375)^{4*3} = 90711[/tex]

The amount of money in the account at t = 3 years is $90,711.

[tex]A(6) = 77000(1.01375)^{4*6} = 106864[/tex]

The amount of money in the account at t = 6 years is $106,864.

[tex]A(10) = 77000(1.01375)^{4*10} = 132961[/tex]

The amount of money in the account at t = 10 years is $132,961.

The function for the investment after t years is [tex]A = 77000(1 + 0.055/4)^{(4t).[/tex] To find the amount in the account at different times, trigger this function with the desired time intervals.

The subject of the questions is about compound interest which belongs to the finance section of Mathematics.
To solve problems related to compound interest, a simple formula can be used: [tex]A = P(1 + r/n)^{(nt)[/tex] where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is time the money is invested for in years.

a) First, identify the variables from the question:[tex]P = $77000, r = 5.5/100 = 0.055[/tex](convert the percentage to a decimal), n = 4 (since interest is compounded quarterly).
We can now plug these values into our formula to determine the function: [tex]A = 77000(1 + 0.055/4)^{(4t).[/tex]

b) To find the amount of money in the account at different time intervals, plug the specified values for t into the function. For t = 0, 3, 6, 10 years, simply replace t in A with each of these time intervals and calculate the resulting A.

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Answer:

[tex]y\approx573cm[/tex]

Step-by-step explanation:

First, take a look to the picture that I attached,  however please note the triangle is not drawn to scale, the figure is just to provide visual aid. As you can see the value of [tex]\angle W =109^{\circ}[/tex] this is because of the sum of the interior angles in a triangle is always equal to 180°. So:

[tex]\angle W + \angle X + \angle Y =180\\\\\angle W = 180- \angle X -\angle Y\\\\\angle W =180-38-33\\\\\angle W=109[/tex]

Now, we can use the law of sines, which states:

[tex]\frac{w}{sin(W)} =\frac{x}{sin(X)} =\frac{y}{sin(Y)}[/tex]

Hence:

[tex]\frac{w}{sin(W)} =\frac{y}{sin(Y)}\\\\\frac{880}{sin(109)} =\frac{y}{sin(38)}\\\\Solving\hspace{3}for\hspace{3}y\\\\y=\frac{880*sin(38)}{sin(109)} \\\\y=572.9999518\approx 573 cm[/tex]

Answer:

573 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

all you have to do is divide each number by 4, 41, 42, 43, 44, 45, 46, 47, 48, 49 ,and 50 until you get a remainder of 1. what I mean is do 2 divided by all the number from 40 50 and do the same with 4,5,8 and 10 until you find one of them that has a remainder of 1. (is a lot of work sorry could't tell you the anwer)

Answer:

100(2m)

(1+0.4)

Nathan=0.4 is the percent added =the 40 percent added to the 10 amoebas

Jennifer=the first equation is how many total amoebas Jennifer has in total

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

1. The first step is to subtract 6.1 on both sides.

2. The second step is to divide by 1.4 on both sides.

3. The solution is x = -10

Step-by-step explanation:

I just finished the Egdenuity Assignment

The steps will be

Step-1: we have to balance each side by simplifing the equation

Step-2: add/substract constant term on both side of the equation to separate variable and constant term on both side

Step-3: divide the coefficient of the variable on both side to make the coefficient of the variable 1.

So according to asked question,

1.4x+6.1=-7.9

Step 1: subtract 6.1 on both sides.

1.4x+6.1-6.1=-7.9-6.1

⇒1.4x=-14

Step 2: divide by 1.4 on both of the sides.

1.4x/1.4=-14/1.4

⇒x=-10

Therefore,

The steps will be

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Answer:

Step-by-step explanation:

As of today, Chase has won 18 out of 30 games against his brother. The percentage of games that he has won as of today is

18/30 × 100 = 60%

In order to get 75% wins, let the number of games would be x. Then

(18 + x)/(30 + x) × 100 = 75

100(18 + x) = 75(30 + x)

1800 + 100x = 2250 + 75x

100x - 75x = 2250 - 1800

25x = 450

x = 450/25 = 18

chase has to win 18 games in a row.

In order to get 90% wins, let the number of games would be y. Then

(18 + x)/(30 + x) × 100 = 90

100(18 + x) = 90(30 + x)

1800 + 100x = 2700 + 75x

100x - 75x = 2700 - 1800

25x = 900

x = 900/25 = 36

chase has to win 36 games in a row in order to have a 90% winning record.

(18 + x)/(30 + x) × 100 = 100

100(1800 + x) = 100(30 + x)

1800 + 100x = 3000 + 100x

100x - 100x = 3000 - 1800

Therefore, it is impossible to for chase to reach a 100% winning record because he has already had some losses.

2) for a wining record of 90, the total number of games played is

30 + 36 = 66 games and the total number of wins was 18 + 36 = 54

In order to get 55% losses, let the number of games would be z. Then

(54 + z)/(66 + z) × 100 = 55

100(54 + z) = 55(66 + z)

5400 + 100z = 3630 + 55z

100z - 55z = 3630 - 5400

45z = - 1770

z = - 1770/45 = - 40

chase has to lose 40 games in a row in order to drop down to a winning record below 55% again.

Chase would need to win 6 more games for a 75% win record, 108 more games for a 90% win record. He could never achieve a 100% win record due to past losses. If he reached a 90% win record and then lost, he would need to lose 20 games to drop below a 55% record.

To calculate how many games Chase needs to win to achieve a 75% winning record, a solution is needed for the equation (18 + x) / (30 + x) = 0.75, where x represents the additional games won. The solution is x = 6. Therefore, Chase must win an additional 6 games without losing to reach a 75% win record.

For a 90% winning record, we solve the equation (18 + x) / (30 + x) = 0.9. The solution is x = 108. Therefore, Chase must win an additional 108 games without losing to reach a 90% winning record.

Chase is unable to reach a 100% winning record because he has already lost some games and it isn't possible to change those past results.

In the event that Chase reaches a 90% winning record and then begins to lose, we need to find out the number of games he would need to lose to drop to a win rate below 55%. We can solve this by calculating the equation (126) / (138 + y) = 0.55, where y is the lost games. Solving for y, we get y = 20, so Chase would have to lose 20 games in a row.

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Answer:

by the way what grade are you in? If you are more than 7th grade can you help me? https://brainly.com/question/16233847

35 mph

Step-by-step explanation:

7 times 5

Answer:

95% confidence interval for the true mean score is [4.6 , 6.6].

Step-by-step explanation:

We are given that a sample of 81 tobacco smokers who recently completed a new smoking-cessation program were asked to rate the effectiveness of the program on a scale of 1 to 10.

The average rating was 5.6 and the standard deviation was 4.6.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

                      P.Q. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average rating = 5.6

            s = sample standard deviation = 4.6

            n = sample of tobacco smokers = 81

            [tex]\mu[/tex] = population mean score

Here for constructing 95% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean score, [tex]\mu[/tex] is ;

P(-1.993 < [tex]t_8_0[/tex] < 1.993) = 0.95  {As the critical value of t at 80 degree of

                                            freedom are -1.993 & 1.993 with P = 2.5%}  

P(-1.993 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 1.993) = 0.95

P( [tex]-1.993 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.993 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-1.993 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.993 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.993 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+1.993 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                            = [ [tex]5.6-1.993 \times {\frac{4.6}{\sqrt{81} } }[/tex] , [tex]5.6+1.993 \times {\frac{4.6}{\sqrt{81} } }[/tex] ]

                                            = [4.6 , 6.6]

Therefore, 95% confidence interval for the true mean score is [4.6 , 6.6].

Answer:

The right answer is:

(i) The student who weighed the rock 20 times.

Step-by-step explanation:

Both students are taking a sample from the population. In this case, the population is all the possible weight that can be measured by the scale they are using.

Independently of the sample size, the sampling distribution mean will be centered in the population mean, so they are estimating the true weight of the rock unbiased.

But the spread of the sampling distribution, measaured by the standard deviation, depends on the sample size.

The bigger the sample, the narrower the sampling distribution is expected o be. So it is more likely to be closer to the true mean with a bigger sample.

The right answer is:

(i) The student who weighed the rock 20 times.

Answer:

6 pounds

Step-by-step explanation:

1/4 times 3 = 3/4

3/8 times 2: 6/8 = 3/4

1/2 times 4: 4/2 = 2

5/8 times 4: 20/8 = 2 1/2

3/4 + 3/4 = 6/4 = 1 1/2

2 + 2 1/2 + 1 1/2 = 6 pounds

Answer:

The correct option is (C).

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas the alternative hypothesis is a contradicting statement tot he null hypothesis. It is denoted by Hₐ.

In this case we need to test whether the average age of online consumers has increased or not.

From previous data we know that the average age of online consumers a few years ago was 24.1 years.

A one-sample mean test can be used to determine whether the mean age has increased or not.

The hypothesis for the test can be defined as follows:

H₀: The average age of online consumers is 24.1 years, i.e. μ = 24.1.

Hₐ: The average age of online consumers is more than 24.1 years, i.e. μ > 24.1.

Thus, the correct option is (C).

Answer:

The expected value of the random variable x is  [tex]E(x) = 5.3[/tex]

Step-by-step explanation:

From the question we are told that

 The number of occurance  is x

   The interval for the x occurance of the  event is [tex]t = 10 minutes[/tex]

Generally the expected value is the same as the mean so the expected value the random variable x is

        [tex]E(x) = 5.3[/tex]

Step-by-step explanation:

Answer:X= 19/2

Step-by-step explanation:

Answer:

pretty sure y should equal 15

The solution of the linear equation (3 + 5) × 2Y = (5 × 8) - (2 × 4) will be 2.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

(3 + 5) × 2Y = (5 × 8) - (2 × 4)

Simplify the equation, then the value of the variable y will be

8 × 2Y = 40 - 8

    16Y = 32

        Y = 32 / 16

        Y = 2

The solution of the linear equation (3 + 5) × 2Y = (5 × 8) - (2 × 4) will be 2.

More about the solution of the equation link is given below.

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Answer:

1/55 * 1/55 = 1/3025

Step-by-step explanation:

The probability of 2 consecutive events is:

P(A and B) = P(A) * P(B) - where P(something) is the probability of it

so:

P(picking 9) = 1 possibility out of 55 total, so 1/55

P(picking 41) = 1 possibility out of 55 total, so 1/55

Finally:

P(9 and 41) = 1/55 * 1/55 = 1/3025

The probability of drawing a specific number (e.g. 9) from 55 balls is 1/55. After one ball is drawn, the probability of drawing another specific number (e.g. 41) is 1/54. The total probability of these events happening in sequence is (1/55) * (1/54).

This problem falls under the category of probability. Probability is a mathematical way of expressing the likelihood of an event happening, using numbers from 0 (impossible) to 1 (certain).

In this case, the total number of balls is 55. Since the ball is drawn randomly, the probability of drawing any specific number (such as 9) on the first draw is 1/55. Similarly, after the first ball is drawn, there are now 54 balls left in the container, but we're again interested in drawing a specific number (41), so the probability for the second draw is also 1/54.

Our task is to find the joint probability of both these events happening - drawing the 9 first and then the 41. To do that, we multiply the probabilities of the individual events, which means the final answer will be (1/55) * (1/54).

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Answer:

Hay 375 vacas y 125 ovejas

Step-by-step explanation:

Para resolver este problema simplemente tenemos que plantear una igualdad entre vacas y ovejas

b = oveja

v = vaca

v = 3b

b + v = 500

reemplazamos la b por (3v) en la segunda ecuacion

b + v = 500

b + 3b = 500

4b = 500

b = 500/4

b = 125

reemplazamos este valor en la primer ecuacion

v = 3b

v = 3(125)

v = 375

Hay 375 vacas y 125 ovejas