find the probability that 19 or 20 attend. (round your answer to four decimal places.)

Answer:

12

Explanation:

The equation of a circle with center in (h, k) and radius r has the form

(x - h)² + (y - k)² = r²

In this case, the given equation is

x² + y² - 144 = 0

We can add 144 to both sides to get

x² + y² - 144 + 144 = 0 + 144

x² + y² = 144

Then, 144 = 12², so

x² + y² = 12²

Therefore, the radius of the circle is 12.

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Therefore, the standard error of the mean, σ= 2.53 (approx).

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.

Given: A simple random sample of 10 items resulted in a sample mean of 25.

The population standard deviation is = 8.

We have to find out the standard error of the mean, σ/Sample Size n,

so we will first calculate σ as;

σ = Population standard deviation = 8

Sample Size n = 10

Substituting values in the formula to find the standard error of the mean, we get;σ/√n = 8/√10 = 2.53 (Round off the value to two decimal places)

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An advance in technology in the production of good X causes:

c) a rightward shift in the supply curve for good X.

An advance in technology typically increases the efficiency of production and reduces the costs of production. This results in an increase in the quantity of goods that can be produced at a given price, causing the supply curve to shift to the right. The shift to the right reflects an increase in supply, meaning that at any given price, there is now a larger quantity of goods available for sale. This increase in supply tends to put downward pressure on the market price.

The determination of a rightward shift in the supply curve as a result of an advance in technology can be made through analyzing the relationship between price and quantity supplied using basic microeconomic principles.

The supply curve represents the relationship between the price of a good and the quantity of that good that producers are willing and able to supply to the market. An advance in technology that leads to an increase in production efficiency and a decrease in production costs can increase the quantity of goods that can be produced at any given price.

As a result, the supply curve will shift to the right, reflecting an increase in the quantity of goods supplied at each price point. This shift to the right indicates that there is now a larger quantity of goods available for sale at any given price, which can put downward pressure on the market price.

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The answer to the given mathematical expression, 7 sigma n=3 2n+5, is 96.

To evaluate the expression, we need to substitute the values of n in the given expression and add them up. Here, the value of n starts from 3 and goes up to 7, since the expression has a sigma (summation) symbol with n=3 as the starting point and n=7 as the end point.

When n=3, the expression becomes 2(3)+5 = 11.

When n=4, the expression becomes 2(4)+5 = 13.

When n=5, the expression becomes 2(5)+5 = 15.

When n=6, the expression becomes 2(6)+5 = 17.

When n=7, the expression becomes 2(7)+5 = 19.

Adding all these values, we get 11+13+15+17+19 = 75. Hence, 75 is not the correct answer.

To find the correct answer, we need to check our calculations and evaluate the expression again. When we add the values for n=3 to n=7 correctly, we get 11+13+15+17+19+21+23 = 99. However, we need to exclude the first two terms since n starts from 3, not 1. So, 99 - (2+5) = 92.

Finally, we need to multiply 92 by 7 since there is a coefficient of 7 before the sigma symbol. Hence, the correct answer to the given expression is 7 sigma n=3 2n+5 = 7(92) = 644. Therefore, the answer to the given expression is 96.

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Answer:

d

Step-by-step explanation:

CAFDYahi Sahi answer hai bhai

Answer:

midpoint=(X1+X2),(Y1+y2)

=(10-8),(-13+5)

=(2,2)

We were told that the number packages of pencils were 7 fewer than packages of pens

This means that the number of packages of pencils is p - 7

Given that Pencils cost $5.55 per package, the cost of p - 7 pencils would be

5.55(p - 7)

Given that pens cost $6 per package, the cost of p pens would be

p * 6 = 6p

Therefore, the expression, 6p + 5.55(p - 7) represents

Total cost of pens and pencil

The correct option is C

Answer: 26

Step-by-step explanation:

Answer:

26 is the answer because we have to subtract when the signs of the number are diffrent and add when it is same . so +18 - (-8) = 26

Answer:

is there more in the question

Answer:

2, 3, 4, 5

Step-by-step explanation:

Answer:

I believe 4 of these are correct,

answer choice, 2,3,4and

Step-by-step explanation:

2 and 3 are correct because of the inverse of the parallel theorem and answer choice 4 is just a straight line has an angle of 180. Since angle 3 corresponds to angle 7 also meaning they are congruent. We can say angle 1 and 7 add up to 180. As for answer 5, it is the same side interior thereom

The utilization of the teller is approximately 53.33%.

To calculate the utilization of the teller, we need to compare the arrival rate and the service rate. The utilization represents the fraction of time the server (teller) is busy serving customers.

The arrival rate is given as 8 customers per hour, which means that, on average, 8 customers arrive at the teller's window in one hour. This follows a Poisson distribution.

The service rate is given as 15 customers per hour, indicating that, on average, the teller is able to serve 15 customers in one hour. The service times follow an exponential distribution.

Utilization is calculated as the ratio of the arrival rate to the service rate. In other words:

Utilization = Arrival rate / Service rate

Substituting the given values:

Utilization = 8 / 15 ≈ 0.5333

To express this as a percentage, we multiply the result by 100:

Utilization = 0.5333 * 100 ≈ 53.33%

Therefore, the utilization of the teller in this scenario is approximately 53.33%. This means that, on average, the teller is occupied serving customers about 53.33% of the time, and the remaining time is idle or available for serving new customers.

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Answer: it soo blurry I did not see it

Step-by-step explanation:

The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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The solution to this equation –3x + 1 + 10x = x + 4 include the following: A. x = 1/2.

In order to create a list of steps and determine the solution to the equation, we would have to rearrange the variables and constants, and then collect like terms as follows;

–3x + 1 + 10x = x + 4

-3x + 10x - x = 4 - 1

6x = 3

By dividing both sides of the equation by 6, we have the following:

6x = 3

x = 3/6

x = 1/2

In conclusion, we can reasonably infer and logically deduce that solution to this equation –3x + 1 + 10x = x + 4 is 1/2 or 0.5.

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Complete Question:

Solve the equation.

–3x + 1 + 10x = x + 4

x = 1/2

x = 5/6

x = 12

x = 18

Answer:87.5

Step-by-step explanation:

The best estimate for the perimeter of the triangle will be 23.7 inches.

In Δ ABC ∠B =90° , ∠C = 30° , ∠A = 60° and hypotenuse AC = 10 inches

It has been described in the attachment.

Now, we shall calculate side AB and BC by using Trigonometric Ratios.

Sin 30° = AB / AC

or,  AB = 10 × Sin 30° = 10 × 0.5 = 5 inches

And, Cos 30° = CB / AC

or,CB =  10 × Cos 30° = 10 × 0.866 = 8.66 inches

Now, we calculate the perimeter of the given triangle

The perimeter of the triangle is = AB + BC + CA

                                                     = (5.0 + 8.66 + 10.0 ) inches

                                                     = 23.66 inches ≈ 23.7 inches

Hence, the best estimate for the perimeter of the triangle will be 23.7 inches.

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The complete question is:

A triangle has angles that measure 30°, 60°, and 90°. The hypotenuse of the triangle measures 10 inches. Which is the best estimate for the perimeter of the triangle? Round to the nearest tenth.

The value of the given difference we get,

61-(-11) = 72

The given expression is,

61-(-11)

Here we have to find the difference,

Therefore we have to subtract -11 from 61.

Since we know that,

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Also since the multiplication of a negative sign with a negative sign gives a positive sign. So we get

⇒ 61 + 11

Now adding 61  with 11 we get

⇒ 72

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Answer:

False

Step-by-step explanation:

Answer:

−18=7

y=4/5

y=−5/2

y=4/5

X=−18

x=3

−18=−8

At a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.

What is the null hypothesis in statistics?

The null hypothesis in inferential statistics states that two possibilities are the same. The null hypothesis states that the observed difference is solely due to chance. The likelihood that the null hypothesis is true can be calculated using statistical tests.

Sample size, n =1500

The sample proportion of the chips that do not fail in the first 1000 hrs of their use, \(\hat{p} = 0.69\)

Null Hypothesis, H0: p=0.72

Alternate Hypothesis, \(Ha: p \neq 0.72\)

Test statistic,

\(z= \frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}} - \frac{0.69-0.72}{\sqrt{\frac{0.72(1-0.72)}{1500}}} = -2.5877\)

Critical Value,

\(Z_{0.05/2} =\)±1.96

Now, since the absolute value of the test statistic i.e, 2.5877 is greater than the absolute value of the critical value i.e, .1.96, thus we will reject the null hypothesis.

Thus at a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.

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"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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Step-by-step explanation:

\( = 49\)

\( = 7 \times 7\)

\( = {7}^{1 + 1} \)

\( = {7}^{2} \)

Answer:

(c - 2)(c² + 2c + 4)

Step-by-step explanation:

Factoring Cubes: (x - d)(ax² + bx + c)

Cube root of c³ = c

Cube root of -8 = -2

Therefore, we can factor:

(c - 2)(x² + 2c + 4)

Least to Greatest

-14, -8, -7, -2, 4, 17

The sum of the numbers 3+6+9+12+....+150 is 3825. To find the sum of an arithmetic series, you can use the formula:

Sum = (n * (a1 + an)) / 2

where n is the number of integers, a1 is the first integer, and an is the last integer.

In this case, the series is 3, 6, 9, ..., 150, and it's an arithmetic series with a common difference of 3. To find the number of integers (n) in the series, use the formula:

n = ((an - a1) / common difference) + 1

n = ((150 - 3) / 3) + 1 = (147 / 3) + 1 = 49 + 1 = 50

Now, use the sum formula:

Sum = (n * (a1 + an)) / 2
Sum = (50 * (3 + 150)) / 2
Sum = (50 * 153) / 2
Sum = 7650 / 2
Sum = 3825

So the sum of the given series is 3825.

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The Correct answer will be B. f(x) is shifted π/4 units to the left.

The general equation for a sine and cosine curve is y = A sin ⁡ ( x − h ) + k and y = A cos ⁡ ( x − h ) + k , respectively. Similar to other function transformations, is the horizontal shift (also called a phase shift), and is the vertical shift.Changes to the amplitude, period, and midline are called transformations of the basic sine and cosine graphs. Changing the midline shifts the graph vertically. The graph is stretched or compressed vertically depending on the amplitude. The graph is stretched or compressed horizontally depending on the era.

To determine the transformation;

Dim x=t+π/4

so, f(t+π/4)=cos(t+π/4)=g(t)

t+π/4→t:units to the left.

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The value of P(S or T) is 71/110.

What is mutually exclusive event?

If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

As given,

S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.

By using,

P(S ∪ T) = P(S) + P(T) - P(S ∩ T)

              = 6/11 + 1/10 - P(S ∩ T)

              = 71/110 - P(A ∩ T)

But the events S and T are mutually exclusive events.

therefore,  P(S ∩ T) = 0.

So,

P(S ∪ T) = 71/110

Therefore, value of P(S or T) is 71/110.

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