The average cost of printing n photos with a high quality photo printer is given by p(n)=240/n-30 . How many photos would need to be printed in order for the average cost to exceed $3.50?

The economist can conclude that the mean FICO score is less than 720 with a 95% confidence level.

To answer this question, we can use a one-sample t-test with a significance level of α=0.05.

First, we need to calculate the t-statistic:

t = (sample mean - hypothesized mean) / (standard deviation / √(sample size))

t = (695 - 720) / (65 / sqrt(60))
t = -2.81

Next, we need to find the critical t-value using a t-distribution table with 59 degrees of freedom (sample size - 1) and a significance level of α=0.05.

The critical t-value is -1.67 (one-tailed test).

Since the calculated t-statistic (-2.81) is less than the critical t-value (-1.67), we can reject the null hypothesis and conclude that the mean FICO score is significantly lower than 720. In other words, based on the sample data, the economist can conclude that the mean FICO score is less than 720 with a 95% confidence level.

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Answer:

\(g(x) = {2(x + 3)}^{2} - 1\)

Actually, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y).

To see why, let's substitute y = 0 degrees into the expression:

sin(y)*tan(y) = cos(y)

sin(0)*tan(0) = cos(0)

0*tan(0) = 1

0 = 1

As we can see, the equation does not hold for y = 0 degrees. However, this does not make 0 degrees a counterexample, because 0 degrees is not in the domain of the tangent function.

The tangent function is undefined at odd multiples of 90 degrees (e.g. 90, 270, etc.), because at those angles the denominator of the tangent function becomes zero. Therefore, we cannot substitute y = 0 degrees into the expression sin(y)*tan(y) = cos(y), because it would result in division by zero.

In summary, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y), because it is not in the domain of the tangent function.

Step-by-step explanation:

118+2×=180

180-118=62

62÷2(×)=31

×=31

Answer:

x + x + 118 = 180

Step-by-step explanation:

...........

The expected value of this gamble is $1.

The expected value of this gamble is the weighted average of all possible outcomes where the weights are the probabilities of each outcome happening.

The formula for expected value (EV) is as follows:

          Expected Value = (Probability of Winning × Amount Won) − (Probability of Losing × Amount Lost)

Hence, substituting the values:

          Expected Value = (0.5 × $10) − (0.5 × $8)

          Expected Value = $5 - $4

          Expected Value = $1

Therefore, the expected value of this gamble is $1.

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Answer:

0.5x + 2

Step-by-step explanation:

You switch x and y and then solve for x to find the inverse.

We can expect that 12 x 50% = 6 of the next 12 students to enroll should be undergraduate students. Answer: 6

The table shows the enrollment in a university class so far, broken down by student type:adult education 7graduate2. undergraduate9We have to find how many of the next 12 students to enroll should you expect to be undergraduate students?So, the total number of students in the class is 7 + 2 + 9 = 18 students.The percentage of undergraduate students in the class is 9/18 = 1/2, or 50%.Thus, if there are 12 more students to enroll, we can expect that approximately 50% of them will be undergraduate students. Therefore, we can expect that 12 x 50% = 6 of the next 12 students to enroll should be undergraduate students. Answer: 6

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Answer:

The answer is yes

Step-by-step explanation:

The ratio for both is 2.5

Answer:

Boys:

ratio = 16/40 = 2/5

Girls:

ratio = 12/30 = 2/5

They are the same.

Answer: d

Step-by-step explanation:

Answer:

x=- - 7/2 an alternative form is x= -31/2, x = -3.5

The function lim x-->a [sin(x) + a₀ + a₁x + ...+ aₙxⁿ ] has lim x-->a [sin(a) + a₀ + a₁a + ...+ aₙaⁿ] as the limit of the function as x approaches a.

Generally, To evaluate the limit of a function as x approaches a certain value, we need to substitute the value of x with the limit value and see what the function evaluates to.

In this case, we have:

lim x-->a [sin(x) + a₀ + a₁x + ...+ aₙxⁿ]

Substituting x with a, we get:

lim x-->a [sin(a) + a₀ + a₁a + ...+ aₙaⁿ]

This is the limit of the function as x approaches a.

Note that the terms a₀, a₁x, etc. are constants and will not affect the limit of the function. Therefore, the limit of the function as x approaches a is simply sin(a).

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Answer:

its 6 D

Step-by-step explanation:

multiplication/division

Answer:

6 or D

Step-by-step explanation:

Since its the same polygon you set it up like this:

\(\frac{36}{24} =\frac{x}{4}\)

cross multiply

36(4) = 24x

divide both sides by 24

x=6

The amount of force required to push Jeff's race car is 1,875 Newtons (N).

The amount of force needed to push Jeff's race car is 1,875 Newtons (N), This problem provides us with the mass of Jeff's race car, which is 750 kg, and the acceleration it experiences, which is 2.5 m/s². We need to find the amount of force required to push the race car.

The formula to calculate force is:

Force = Mass x Acceleration

In this case, the mass of the race car is 750 kg and the acceleration is 2.5 m/s². We simply plug in these values into the formula to get:

Force = 750 kg x 2.5 m/s²

Simplifying the expression, we get:

Force = 1,875 N

Therefore, the amount of force required to push Jeff's race car is 1,875 Newtons (N).

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The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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1) 2 3÷4 = 11÷4

hence, 11÷8 = 1.37 .

2)  4 2÷9 =38÷9 .

hence, 38÷18 = 2.11 .

simplify  2 3÷4  = 11÷4

and

4 2÷9 = 38÷9.

now 1/2 of 11/4 = 11/8 = 1.37.

1/2 of 38/9 = 38/18 = 2.11 .

Answer:

Step-by-step explanation:

This is a commission problem. Here is the formula:

P x R

= 5.75 x 0.20

= $1.15

Jack's tip was $1.15. :D

Key: P = Original Price R = Commission Rate

Answer:

6. -4x+3   7. 2x+24   8. 4x+3

Step-by-step explanation:

The formula to find slope is y2-y1/x2-x1.  With y2 serving as any y value on the table that is not whatever you decide as your y1 value, same goes for the x values.

y2 and x2 should be from the same line in the table, same goes for x values.

Explaining #6: I used point (2,-5) and (1,-1).

y2=-5, y1=-1, x2=2, x1=1

Plug values into slop equation--> (-5-(-1)/(2-1)= -4

To find the y-intercept you would either take the formula y=mx+b and plug in a point from the table and slop you just found to find b. Or when x=0 on the table the y value is your b/y-intercept.

Hope this helped and you can understand!

Answer:

B

Step-by-step explanation:

Answer:

im pretty sure that it's c

Step-by-step explanation:

3000 - 500 is 2500, and It's c because it's asking how much greater

Answer:

=17x²-x

Step-by-step explanation:

=x.(9x²+18x-x-2)-x.(9x²-1)

=x.(9x²+17x-2-9x²+1)

=x.(17x-1)

=17x²-x

Answer:

10

Step-by-step explanation:

(4)(1)+6=10

The probability that a randomly selected cookie is not safe for Sean to eat is 0.60.

To find the probability that a cookie contains chocolate or nuts, we need to add the probability of the cookie containing chocolate to the probability of the cookie containing nuts, and then subtract the probability of the cookie containing both chocolate and nuts. This is because if a cookie contains both chocolate and nuts, it is counted twice when we add the probability of chocolate and the probability of nuts.

Let's call the event of a cookie containing chocolate "C", the event of a cookie containing nuts "N", and the event of a cookie containing both "C∩N". Then, we can use the formula:

P(C ∪ N) = P(C) + P(N) - P(C ∩ N)

We are given that P(C) = 0.36, P(N) = 0.12, and P(C∩N) = 0.08. Substituting these values into the formula, we get:

P(C ∪ N) = 0.36 + 0.12 - 0.08 = 0.40

Therefore, the probability that a cookie contains chocolate or nuts (but not both) is 0.40.

However, Sean is allergic to both chocolate and nuts, so he cannot eat any cookies that contain either chocolate or nuts. To find the probability that a randomly selected cookie is not safe for Sean to eat, we can subtract the probability of a cookie containing neither chocolate nor nuts from 1:

P(not safe for Sean) = 1 - P(neither C nor N)

To find P(neither C nor N), we can use the complement rule:

P(neither C nor N) = 1 - P(C ∪ N)

Substituting the value we calculated earlier for P(C ∪ N), we get:

P(neither C nor N) = 1 - 0.40 = 0.60

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Answer:

90

Step-by-step explanation:

it looks like it's a right angle

Answer:

The answer is 90 degrees

Step-by-step explanation:

Answer:

if the length of the triangle are the same false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Even Though all Triangles have three sides and have a right angle

All triangles don't look the same which causes the shape to change

which means even if two triangles were similar they would not be congruent. :)

The first value was 351.00913.

First, we need to understand that the formula for standard deviation is given by the following equation: sqrt{frac{sum{i=1}^n (xi - \bar{x})^2}{n-1}}

Where, xi is the i th data value, bar{x} is the mean value of all the data values and n is the total number of values.

So, using this formula, we can find the standard deviation of the given three values, which is 136.756475.

We can then use this standard deviation and the other two values to compute the first value.

Let the first value be x.

Then, we have:

Simplifying this equation gives:

\(sqrt{frac{(x-191)^2 + (171)^2 + (-19)^2}{2}} = 136.756475\)

Squaring both sides of the equation and simplifying further gives:

\((x-191)^2 + 171^2 + (-19)^2 = (136.756475)^2 times 2\)

Expanding the left-hand side of the equation and collecting like terms gives:

x^2 - 382x + 36481 = 37442.01826

Rearranging and solving for x gives:

\(x = frac{37442.01826 - 36481}{2} + 191x = 351.00913\)

Therefore, the first value was 351.00913.

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Answer:

45

Step-by-step explanation:

Upon examining the graph, you can realize that angle 3x is the same as the angle directly to the left of 9x. Since that makes a straight line, we can realize that that sums up to 180. We call this a linear pair.

so you have:

3x+9x = 12x = 180

x = 15

A important concept to know here is vertical angles. Vertical angles occur when two lines intersect each other. The opposite angles formed at an intersection are congruent, which is why 1 is congruent to 3x.

Therefore, angle 1 is 45 degrees.

The three necessary precautions for the distillation set-up are proper insulation, temperature control, and monitoring of pressure.

Distillation is a widely used technique for separating and purifying liquids based on their boiling points. To ensure the success and safety of the distillation process, several precautions must be taken during the set-up.

Firstly, proper insulation is crucial to maintain consistent and efficient distillation conditions. Insulation helps to minimize heat loss or gain from the surroundings, which can affect the accuracy of the boiling point and the separation efficiency. Insulation materials such as glass wool or insulating tape can be used to cover the distillation apparatus and prevent heat exchange with the environment.

Secondly, temperature control is essential to achieve the desired separation. Distillation involves heating the mixture to vaporize the more volatile component and then condensing it back into a liquid. Precise temperature control ensures that the desired compound vaporizes without excessive overheating or decomposition. This can be achieved by using a temperature-regulated heat source, such as a heating mantle or a water bath, along with a thermometer to monitor the temperature throughout the process.

Lastly, monitoring of pressure is crucial for safe and efficient distillation. Controlling the pressure inside the distillation apparatus helps to prevent excessive pressure buildup, which can lead to equipment failure or even explosion. Pressure can be controlled by adjusting the rate of vapor condensation or by using a pressure relief valve to maintain a safe operating pressure.

In summary, the three necessary precautions for the distillation set-up are proper insulation to minimize heat exchange, temperature control to achieve accurate separation, and monitoring of pressure to ensure safety and prevent equipment failure.

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Answer:

x = -16

Step-by-step explanation:

\(\frac{1}{4}x-6=-10 < ==add\ 6\ to\ both\ sides\\ \ \ \ \ \ \ \ \ +6 \ \ \ \ \ \ \ \ +6\\\\\frac{1}{4}x=-4 < ==multiply\ both\ sides\ by\ 4\\4(\frac{1}{4}x=-4)\\\\x=-16 < ==final\ answer\)

Hope this helps!

CI = 6.76 ± 1.96 × (2.67/√50)
CI = 6.76 ± 0.96
Therefore, the 95% confidence interval for the population means rating for Miami is: (5.80, 7.72)

We can be 95% confident that the true mean rating for Miami International Airport falls within this interval.
To develop a 95% confidence interval for the population means rating for Miami International Airport, we need to follow these steps:

1. Calculate the sample mean (x) by adding up all the ratings and dividing by the sample size (n=50).
2. Calculate the sample standard deviation (s).
3. Use a t-distribution to find the t-score for a 95% confidence interval with (n-1) degrees of freedom.
4. Calculate the margin of error (ME) using the t-score, standard deviation, and sample size.
5. Add and subtract the margin of error from the sample mean to find the lower and upper limits of the confidence interval.

To calculate the 95% confidence interval, we need to use the formula:
CI = x ± Z' (s/√n)
Where:
x = sample mean
Z' = z-score for the desired confidence level (in this case, 95%, so

Z' = 1.96)
s = sample standard deviation
n = sample size

Step 1: Calculate the sample mean (x)
Sum of ratings = 346
Sample size (n) = 50
x = 346/50 = 6.92

Step 2: Calculate the sample standard deviation (s)
Variance = [(Sum of (rating - x)^2) / (n-1)] = 88.48
Standard deviation (s) = √(88.48) = 9.41

Step 3: Find the t-score
For a 95% confidence interval with 49 (n-1) degrees of freedom, the t-score is approximately 2.01.

Step 4: Calculate the margin of error (ME)
ME = t-score × (s / √n) = 2.01 × (9.41 / √50) = 2.01 × 1.33 = 2.67

Step 5: Find the confidence interval
Lower limit: x - ME = 6.92 - 2.67 = 5.80
Upper limit: x + ME = 6.92 + 2.67 = 7.72

Thus, the 95% confidence interval for the population mean rating for Miami International Airport is approximately

(5.80, 7.72)

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