A consumer group is investigating two brands of popcorn, R and S. The population proportion of kernels that will pop for Brand R is 0. 90. The population proportion of kernels that will pop for Brand S is 0. 85. Two independent random samples were taken from the population. The following table shows the sample statistics. Number of Kernels in Samples Proportion from Sample that Popped Brand R 100 0. 92 Brand S 200 0. 89 The consumer group claims that for all samples of size 100 kernels from Brand R and 200 kernels from Brand S, the mean of all possible differences in sample proportions (Brand R minus Brand S) is 0. 3. Is the consumer group’s claim correct? Yes. The mean is 0. 92−0. 89=0. 3. Yes. The mean is 0. 92 minus 0. 89 equals 0. 3. A No. The mean is 0. 92+0. 892=0. 905. No. The mean is the fraction 0. 92 plus 0. 89 over 2 equals 0. 905. B No. The mean is 0. 92−0. 892=0. 15. No. The mean is the fraction 0. 92 minus 0. 89 over 2 equals 0. 15. C No. The mean is 0. 90+0. 852=0. 875. No. The mean is the fraction 0. 90 plus 0. 85 over 2 equals 0. 875. D No. The mean is 0. 90−0. 85=0. 5

Answer:

<

Step-by-step explanation:

Answer:

The answer would be 12

Step-by-step explanation

The answer would be 12 because the meter is calibrated to display 12 when it gets that 5 V signal internally and the range is set to AC. ... You don't say if you are measuring a battery or a power supply and if you are using a digital meter or a small analogue one.

Answer:

42

Step-by-step explanation:

Answer: Varies

Step-by-step explanation:

There would still be some Xs and Ys.

No, it is not possible to define f(0) in a way that makes f continuous at 0.

To see why, let's consider the behavior of f(x) as x approaches 0. We have:

lim x → 0 x sin(1/x)

Now, since -1 ≤ sin(1/x) ≤ 1 for all x, we have:

x ≤ x sin(1/x) ≤ x for all x

Therefore, by the squeeze theorem, we have:

lim x → 0 x sin(1/x) = 0

This means that the limit of f(x) as x approaches 0 exists and is equal to 0.

However, if we try to define f(0) to make f continuous at 0, we run into a problem. If we choose any value for f(0), say a, then the function is not continuous at 0 because the limit from the left is not equal to the limit from the right.

To see this, consider the left-hand limit of f(x) as x approaches 0:

lim x → 0- f(x) = lim x → 0- x sin(1/x)

We can use the substitution u = 1/x to rewrite this as:

lim u → -∞ (-1/u) sin u

Now, we know that the sine function oscillates between -1 and 1 as its input approaches -∞, so the limit of this expression does not exist. Therefore, the left-hand limit of f(x) as x approaches 0 does not exist.

Similarly, we can show that the right-hand limit of f(x) as x approaches 0 does not exist.

Therefore, it is not possible to define f(0) in a way that makes f continuous at 0.

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The length of the pole is 19.15 feet.

The angle of elevation is the angle created when an observer looks at an object placed above its height in relation to the eye level or the horizontal line. An angle of elevation is, for example, the angle created between the line of sight and the horizontal line when a man on Earth observes the Sun.

Given:

Angle made by straight road = 15°

Angle of elevation of the sun = 57°

Length of the shadow = 75 feet

∠ACB = 90° - 57° = 33°

∠CAB = 57° - 15° = 42°

Using Sine Law to find BC i.e.length of the pole.

\(\frac{BC}{sin A} = \frac{AB}{sin C}\)

\(\frac{BC}{sin 42} = \frac{75}{sin 33}\)

\(BC= \frac{75sin 42}{sin 33}\)

BC ≅ 19.15 feet (to the nearest hundredth.)

Hence, the approximate length of the pole is 19.15 feet.

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Answer:

14 is C and 13 is also C

Step-by-step explanation:

so 14 and 13 a both C

mark brainliest or give 1 heart and 5 stars or maybe both

Answer: 3

Step-by-step explanation: I just know

To find the vertical asymptotes of a rational function, we need to set the denominator equal to zero and solve for x.

To find the vertical asymptotes of a rational function, you need to determine the values of x that make the denominator of the function equal to zero.

Let's check the limit of our example function as x approaches each of the vertical asymptotes:

As x approaches 1 from the left side: f(x) approaches negative infinity

As x approaches 1 from the right side: f(x) approaches positive infinity

Therefore, x = 1 is a valid vertical asymptote.

As x approaches 3 from the left side: f(x) approaches positive infinity

As x approaches 3 from the right side: f(x) approaches negative infinity

Therefore, x = 3 is also a valid vertical asymptote.

The values of x that make the denominator zero are the vertical asymptotes of the function.

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Answer:

The correct option is;

A placebo is a fake treatment designed to look exactly lime the real treatment, so that the subjects do not know they are part of the control group

Step-by-step explanation:

A placebo is an administered fake or inactive medical treatment that is made to look like the real treatment. A placebo can be an administered shot of injection, spray, pill, or other forms of make believe or artificial treatment that absolutely does not consist of any health remediating substance

Another term for placebos is a "sugar pill", that is mainly used during an experimental study of  a treatment.

It akes 2.5 seconds for the football to reach its maximum height.

It should be noted that to find the initial height of the football, we need to determine the height when t=0. We can substitute t=0 into the equation:

h(0) = -16(0)² + 80(0) + 1

h(0) = 1

We can find the time at which the vertical velocity is zero by finding the vertex of the parabolic function. The vertex can be found using the formula:

t = -b/2a

where a = -16 and b = 80. Substituting these values into the formula gives:

t = -80/(2(-16)) = 2.5

Therefore, it takes 2.5 seconds for the football to reach its maximum height.

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There is a slight possibility of 0.000240 that  5 card hand contains a four-of-a-kind, where the four-of-a-kind rank is a face card.

Total possible outcomes=⁵²C₅

                                        = 2598960

P( 4-of-a-kind) = ¹³C₁ * ⁴C₄

                        = 13

P( choosing one card from the rest of the deck) = ⁴⁸C₁

                                                                                 =48

P( 4-of-a-kind card with one different card)

= desired outcome / total number of outcomes.

= (13* 48) / 2598960

= 624/2598960

= 0.000240

Therefore, we get that the probability is 0.0240% .

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An inequality is used to show two values that are different and to show that the two values are unequal.

This refers to the mathematical relation that is used to show the comparison between two numbers that are unequal.

We can note that because there is a previous record, for a person to beat the record, he would have to perform better than the record and be faster than the previous record holder.

Therefore, if a record of Amelia was given, this would be used to find the relation between her record and the current record of 37 sit-ups and how many weeks of training would be needed to break the record.

Hence, we can see that the question is incomplete so I gave you a general overview to help you get a better understanding.

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Answer:

m=s+0.50

3m+2s=23.95

Step-by-step explanation:

Answer:

m-s+0.50

3m+2s=23.95

Step-by-step explanation:

the first one is defining m in terms of S

the second is solving

I know they didn't ask but here is the solution:

so in this case you would replace 3m with 3(s+0.50)

Answer:

74.9 degrees

Step-by-step explanation:

All angles in a triangle must add up to 180 degrees. Add 29.1 and 76 to get 105.1, and then you can subtract that from 180 to get 74.9.

Answer:

x = 1.5

Step-by-step explanation:

We need a value of x that would result in 2x+9 = 12

2x+9 = 12

2x = 12 - 9

2x = 3

x = 3/2 or 1.5

====

CHECK

Does 2x+9 = 12 when x = 1.5?

2x+9 = 12

2(1.5)+9 = 12

3 + 9 = 12 YES

To find the coefficient of x^17 in (x^2 + x^3 + x^4 + x^5 + x^6 + x^7)^3, we can use the multinomial theorem.

First, we need to determine all possible ways to choose exponents that add up to 17. One possible way is to choose x^5 from the first term, x^6 from the second term, and x^6 from the third term. This gives us (x^5)*(x^6)*(x^6) = x^17.

Next, we need to determine how many ways there are to choose these exponents. We can use the multinomial coefficient formula:

(n choose k1,k2,...,km) = n! / (k1! * k2! * ... * km!)

where n is the total number of objects (in this case, 3), and k1, k2, and k3 are the number of objects chosen from each group (in this case, 1 from the first group, 1 from the second group, and 1 from the third group).

Plugging in the values, we get:

(3 choose 1,1,1) = 3! / (1! * 1! * 1!) = 3

Therefore, the coefficient of x^17 in (x^2 + x^3 + x^4 + x^5 + x^6 + x^7)^3 is 3.
To find the coefficient of x^17 in the expression (x^2 + x^3 + x^4 + x^5 + x^6 + x^7)^3, we need to determine which terms, when multiplied together, will result in x^17. Since the expression is cubed, we are looking for combinations of three terms from the sum inside the parentheses.

There are three possible combinations that yield x^17:

1. x^2 * x^7 * x^8 (coefficient: 1)
2. x^3 * x^5 * x^9 (coefficient: 1)
3. x^4 * x^6 * x^7 (coefficient: 1)

The coefficients of these terms are all 1. Therefore, the coefficient of x^17 in the given expression is the sum of the coefficients: 1 + 1 + 1 = 3.

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The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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Answer:

B

Step-by-step explanation:

Kusa=10x0.75=7.5

Chaman=12x0.6=7.2

7.5>7.2

so kusa rode further than chaman.

Answer:

b

Step-by-step explanation:

Answer:

The last one is the answer.

Answer:

x = 8

Step-by-step explanation:

recall that all internal angles of a triangle sum up to 180 deg

we are given that ∠F is a right angle = 90 deg

Simply sum all all the angles and equate the sum to 180 deg

90 + (3x+29) + (5x-3) = 180

90 + 3x+29 + 5x-3 = 180

90 + 3x+29 + 5x-3 = 180

116 + 8x = 180  (subtract 116 from both sides)

8x = 180 - 116

8x = 64  (divide both sides by 8)

x = 64/8

x = 8

The high temperature increased by 15.38% from yesterday to today.

First, you must find the actual increase in temperature. by using this formula:

Percentage increase = (Today's temperature - Yesterday's temperature) / Yesterday's temperature * 100

Percentage increase = (75 - 65) / 65 * 100 = 15.38%

Temperature is a physical quantity that indicates hot and cold. It is the manifestation of thermal energy, present in all matter, which is the inception of the occurrence of heat, a flow of energy when a body is in contact with another that is colder or hotter.

Temperature is measured with a thermometer.

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From the given discrete distribution, we have that:

\(\mu = 2.13, \sigma^2 = 0.61, \sigma = 0.78\)

In this problem, the distribution is:

\(P(X = 1) = \frac{2}{8}\)

\(P(X = 2) = \frac{3}{8}\)

\(P(X = 3) = \frac{3}{8}\)

Hence, the mean is:

\(\mu = 1\frac{2}{8} + 2\frac{3}{8} + 3\frac{3}{8} = \frac{17}{8} = 2.13\)

The variance is:

\(\sigma^2 = (1-2.13)^2\frac{2}{8} + (2-2.13)^2\frac{3}{8} + (3-2.13)^2\frac{3}{8} = 0.61\)

The standard deviation is:

\(\sigma = \sqrt{0.61} = 0.78\)

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The statistical strategy that would allow the professor to determine if the average score on the final exam has gone higher is a hypothesis test. The professor can formulate a null hypothesis (H0) that the average score is still 83 and an alternative hypothesis (Ha) that the average score is greater than 83. Then the professor can collect a sample of final exam scores and calculate the sample mean.

The professor can use the sample mean and standard deviation to calculate a test statistic, which can be compared to a critical value or p-value to determine if the null hypothesis should be rejected or not.

Hypothesis testing is a commonly used statistical method to make decisions about a population based on a sample. In this case, the professor wants to determine if the average score on the final exam has increased or not. By setting up a hypothesis test, the professor can use the sample data to make an inference about the population. The null hypothesis assumes that there is no difference between the population mean and the previous average score of 83.

The alternative hypothesis assumes that the population mean has increased. By calculating a test statistic and comparing it to a critical value or p-value, the professor can make a decision to either reject or fail to reject the null hypothesis. If the null hypothesis is rejected, the professor can conclude that there is evidence to support the claim that the average score on the final exam has increased.

In the past, students have scored an average of 83 points on the final exam in a statistics course. The professor thinks that this average has now gone higher. What statistical strategy would allow the professor to determine if he is correct? Confidence interval Regression analysis Empirical rule Hypothesis test

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The statistical strategy that would allow the professor to determine if the average score on the final exam has gone higher is a hypothesis test. The professor can formulate a null hypothesis (H0) that the average score is still 83 and an alternative hypothesis (Ha) that the average score is greater than 83. Then the professor can collect a sample of final exam scores and calculate the sample mean.

The professor can use the sample mean and standard deviation to calculate a test statistic, which can be compared to a critical value or p-value to determine if the null hypothesis should be rejected or not.

Hypothesis testing is a commonly used statistical method to make decisions about a population based on a sample. In this case, the professor wants to determine if the average score on the final exam has increased or not. By setting up a hypothesis test, the professor can use the sample data to make an inference about the population. The null hypothesis assumes that there is no difference between the population mean and the previous average score of 83.

The alternative hypothesis assumes that the population mean has increased. By calculating a test statistic and comparing it to a critical value or p-value, the professor can make a decision to either reject or fail to reject the null hypothesis. If the null hypothesis is rejected, the professor can conclude that there is evidence to support the claim that the average score on the final exam has increased.

In the past, students have scored an average of 83 points on the final exam in a statistics course. The professor thinks that this average has now gone higher. What statistical strategy would allow the professor to determine if he is correct? Confidence interval Regression analysis Empirical rule Hypothesis test

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Step-by-step explanation:

The original price was $16.23

Explanation:

We can rewrite this problem as:

110% of what is $17.85.

"Percent" or "%" means "out of 100" or "per 100", Therefore 110% can be written as

110 x/100

.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for

n

while keeping the equation balanced:

110/100 × n = $17.85

110/100 × n = $17.85

110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85

110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85

100/110 <¬ cross out × 110/100 <¬ cross out × n = $ 1785/110

× n = $ 1785/110

n = $16.23n rounded to the nearest penny.

Comparing the expressions (8 + 3^2 - 2⋅6 ) / (7 - 1⋅2) and (3/4 + 1/8) ÷ 1/8 -2^2 shows that (8 + 3^2 - 2⋅6 ) / (7 - 1⋅2) < (3/4 + 1/8) ÷ 1/8 -2^2

The given expression is (8 + 3^2 - 2⋅6 ) / (7 - 1⋅2) and (3/4 + 1/8) ÷ 1/8 -2 ^2

The expression is first simplified using PEMDAS then compared

The math question is solved using the idea of PEMDAS which is an acronym for order of arrangement of mathematical operations as

the full meaning include

P - parenthesis

E  - exponents

M - multiplication

D - division

A - addition

S - subtraction

applying the sequence the problem is solved as follows

the first part

=  (8 + 3^2 - 2⋅6 ) / (7 - 1⋅2)

= (8 + 9 - 2.6) / (5.8)

= 14.4/5.8

= 72/29

= 2.4828

the second part

= (3/4 + 1/8) ÷ 1/8 -2 ^2

= 7/8 ÷ 1/8 - 4

= 7 - 4

= 3

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Answer:

140

Step-by-step explanation:

Good luck! :)

136 rounded to its nearest ten is 140.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 thousandths place value

We have,

136

6 is in one place value.

3 is in ten place value.

1 is in hundreds place value.

Now,

Rounding to its nearest ten.

It will round to either round to 130 or 140.

Now,

Round it to 130 if the value is less than 135.

Round it to 140 if the value is equal to or greater than 135.

So,

136 > 135 it will round to 140.

Thus,

136 rounded to its nearest ten is 140.

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Answer:

It’s a right triangle

Step-by-step explanation:

15 squared plus 8 squared equals 17 squared which 289=289

Answer:

$875

Step-by-step explanation:

Total money * commission = money earned

12500 * .07 =

$875

Answer:

The image of A(-12, 3) after dilation by a scale factor of 1/3 will be: A'(-4, 1)

Step-by-step explanation:

Given the coordinates of the point

Let suppose the given point is A(-12, 3)

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/3 centered at the origin

P(x, y) → P'(1/3x, 1/3y)

Here, P'(1/3, 1/3y) is the image of P(x, y).

Thus,

A(-12, 3) → A'(1/3(-12), 1/3(3)) = A'(-4, 1)

Therefore, the image of A(-12, 3) after dilation by a scale factor of 1/3 will be: A'(-4, 1)