random variable has a normal distribution with mean and standard deviation 2. the pdf of satisfies the following conditions: (a) , (b) . when is an integer, what is (round off to 4th decimal place)

Answer:

c. 5

Step-by-step explanation:

230 is divisible by :
2 ,  5 , and 23

465 is divisible by:
3,  5 ,  and 31

They only have 5 in common and  for such the answer is c. 5

Answer:

20079.05 cm^2,

Step-by-step explanation:

Surface area of the box without the lid

=  90*42 + 2(90*34) + 2(42*34) = 12756.

Now find Surface area of the half cylinder:

The diameter of the 2 half circles = 42 so the radius = 21.

The area of the lid  

= 2 + 1/2 π (21)^2 + π r * 90

= 7323,052

Total = 20079.052

3x²–243=0 —> 3 (x²–81) = 0 —>

x²–81=0 —> (x-9)(x+9)=0

x-9=0 —> x=9

x+9=0 —> x=–9

I hope I helped you^_^

To find T((5, -4)), we can use the linearity property of linear transformations. First, we can express (5, -4) as a linear combination of the given basis vectors:(5, -4) = 5*(1, 2) + (-6)*(0, 1)

Since T is a linear transformation, we can apply it to each term separately:

T((5, -4)) = T(5*(1, 2) + (-6)*(0, 1))

Using the linearity property of T, we have:

T((5, -4)) = 5*T((1, 2)) + (-6)*T((0, 1))

From the given information, we know that T((1, 2)) = (2, 3) and T((0, 1)) = (1, 4). Substituting these values, we get:

T((5, -4)) = 5*(2, 3) + (-6)*(1, 4)

= (10, 15) + (-6, -24)

= (10 + (-6), 15 + (-24))

= (4, -9)

Therefore, T((5, -4)) is (4, -9). None of the options provided match this result, so the correct answer is not among the given choices.

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The function y=x²+5x-6 has a minimum value. All real numbers are included in the function's domain. The function has a range of y ≤ 12.25, the correct option is (c).

The parabola has a minimum value and widens upwards since the x² term's coefficient is positive.

To find the minimum value, we can use the formula for the x-coordinate of the vertex:

x=-b/2a=-5/(2 × 1)=-2.5.

Plugging this value into the equation, we get

y=(-2.5)²+5(-2.5)-6=-12.25.

Therefore, the function has a minimum value of -12.25.

The function is a polynomial, which means it is defined for all real numbers.

Since the function has a minimum value of -12.25, the range of the function is all real numbers less than or equal to -12.25, i.e., {y ≤ 12.25}.

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The complete question is:

Consider the equation y=x^(2)+5x-6. Determine whether the function has a maximum or minimum value. State the maximum or minimum value. What are the domain and range of the function

a. minimum; 0; D: (all real numbers); R: {all real numbers}

b. maximum; 0; D (all real numbers); R: {y <-0}

c. minimum; -12.25; D (all real numbers); R: {y <-12.25}

d. maximum; -12.25; D {x <- 2.5}; R: {all real numbers}

Answer:

Step-by-step explanation:

b

Answer:

B)  C)  and E)    (i just took this in USA TestPrep

Step-by-step explanation:

The mass of hydrogen atoms that measures 54 u is 89.64 x 10^-24

Analysis:

If 1 u = 1.66 x 10^-24, then 54 u = 54 x 1.66 x 10^-24 = 89.64 x 10^-24

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Answer:

-----------------------------

Standard form for the equation of a circle is:

where the center is (h, k) and the radius is r units.

Complete the square by adding missing parts of the identity:

Apply this to the given equation:

As per the standard form, the center is (h, k) = (2, - 4) and radius is r = 4 units.

To form the negation of a conditional statement, we change the "if-then" connective to "if and only if", which is represented by the symbol "⟺". This is also known as the biconditional connective.

To form the negation of a conditional statement, we change the "if-then" connective to "if and only if", which is represented by the symbol "⟺". This is also known as the biconditional connective.

For example, the conditional statement "If it rains, then the ground is wet" can be negated by changing the "if-then" connective to "if and only if", resulting in "It is not the case that if it rains, then the ground is wet", which can be written symbolically as "It rains ⟺ The ground is not wet".

Note that the negation of a conditional statement is not equivalent to the inverse or converse of the statement. The inverse of a conditional statement involves negating both the hypothesis and the conclusion, while the converse involves switching the hypothesis and the conclusion.

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Answer:

There are 26 tiles in the bag.

To spell the word DOT, we have to select 3 tiles from the bag.

This can be done in

26C3 ways.

Out of this, the word DOT can be correctly spelled in only 1 way.

Hence, the Prob.

=1 / 26C3

Answer: 1 apple = 3 bananas

Step-by-step explanation:

10 bananas = 2 pineapples

which means

5 bananas = 1 pineapple eq_i

1 pineapple = 2 bananas + 1 apple eq_ii

Using eq_i and eq_ii, we conclude

1 apple = 3 bananas ... answer



hope that helps...

Choose:

Increase the likelihood of rejecting the null hypothesis and increase measures of effect size.

The t statistic is the ratio of the calculated deviation of a parameter from its hypothesized value with its standard error.

In general, the likelihood of discovering a significant difference increases as the variance of the difference scores increases. A limited variation for the difference scores in a repeated-measures study suggests that the treatment has little or no effect.

Increasing the number of scores within each sample reduces the predicted standard error of the mean difference. This increases the size of the observed t, making it easier to reject the null hypothesis H0. In other words, when sample size increases, statistical power increases.

Higher t-value corresponds to a lower p-value, indicating that the difference between sample-mean (Χ) and population-mean (μ) is statistically significant (hence we reject the null hypothesis).

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Answer:

125

Step-by-step explanation:

5^2 × (15 ÷ 3) = 125

Answer:

125

Step-by-step explanation:

5² x 5 = 25 x 5 = 125

Answer:

the last one

Step-by-step explanation:

Both are used then the sencond is used as well

The mean of this distribution is 0.55

The standard error of this distribution is 0.0384

We have the following:

p=0.55

sample size, n=168

Mean of distribution:

Mean=true proportion of voters who support a restaurant

Mean=p=0.55

Hence, the mean of distribution is 0.55

Standard error of the distribution:

\(=\sqrt{\frac{p(1-p)}{n} }\)

\(=\sqrt{\frac{0.55(1-0.55)}{168} }\)

=0.0384

Hence, the standard error is 0.0384

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The questions was incomplete, the complete question is given below:

Suppose the true proportion of voters in the county who support a restaurant tax is 0.55. Consider the sampling distribution for the proportion of supporters with sample size n = 168.

What is the mean of this distribution?

What is the standard error of this distribution?

The covariance between the sum (X+Y) and the difference (X-Y) of two identically distributed random variables X and Y is zero.

Let's calculate the covariance using the definition: Cov(X+Y, X-Y) = E[(X+Y)(X-Y)] - E[X+Y]E[X-Y]. Expanding the expression, we have Cov(X+Y, X-Y) = E[X² - XY + XY - Y²] - E[X]E[X] + E[X]E[Y] - E[Y]E[X] - E[Y]E[X] + E[Y²]. Simplifying further, we get Cov(X+Y, X-Y) = E[X²] - E[X²] + E[Y²] - E[Y²] - E[X]E[X] - E[Y]E[X] + E[X]E[Y] + E[Y]E[X] = 0. Here, we use the fact that X and Y are identically distributed, so their means and variances are equal (E[X] = E[Y] and Var[X] = Var[Y]). Thus, E[X]E[X] - E[Y]E[X] + E[X]E[Y] + E[Y]E[X] can be simplified to 2E[X]E[Y] - 2E[X]E[Y], which equals zero. Therefore, Cov(X+Y, X-Y) = 0, indicating that the sum and difference of identically distributed random variables X and Y are uncorrelated.

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Yes, it is possible to have extreme temperature differences between a scorching hot desert and freezing mountain tops located nearby. This phenomenon occurs due to various factors such as differences in altitude, climate patterns, and geographic features.

Deserts are typically characterized by arid conditions, receiving little rainfall and having limited vegetation. They are often located in low-lying areas, where the air is dry and temperatures can soar during the day due to direct exposure to intense sunlight. As a result, deserts can experience extremely high temperatures, sometimes exceeding 100 degrees Fahrenheit (38 degrees Celsius) or more. On the other hand, mountainous areas, especially at higher elevations, tend to have cooler temperatures due to a decrease in air pressure and the presence of cooler air masses. As altitude increases, the air becomes thinner, resulting in reduced heat absorption and lower temperatures.

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Answer:

i think A

Step-by-step explanation:

Answer:

The answer is c, I don't know how I'm supposed to show a graph, if that's what you wanted

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

if both sides are the same then you can mirror the angles only if there equal

The total cost of the move when hiring movers for 35 hours is $1221, and the total cost of the move when hiring movers for 10 hours is $546.

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a- The equation of the line using function notation would be f(x) = x.
b- The equation of the line using function notation would be f(x) = 1.

c- The equation of the line using function notation would be f(x) = -x.
d- The equation of the line using function notation would be f(x) = x+1.
Using function notation, the equation of the line can be written as one of the following options:
a) f(x) = x
b) f(x) = 1
c) f(x) = -x
d) f(x) = x + 1

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Answer:

i can't understand your question is

Answer:

I believe the answer would be 8 if not try 27

Answer:

Clark is faster because the slope of his graph is bigger.

Step-by-step explanation:

The slope of Henry’s graph can be found as 0.5 because the equation is in slope intercept. (The coefficient of the x value is the slope)

Since there is a point at (12,18) in Clark’s graph, you can conclude Clark’s slope as 18/12. (Rise over run)

18/12 = 1.5

1.5 is bigger than 0.5 so Clark travels faster.

Answer:

I wilm clear you

Step-by-step explanation:

Given,

If a=8

b=24

Now according to question,

or, b/a

or, 24/8

or, 3

The correct interpretation of the confidence interval is: “We are 95% confident that the population mean number of hours adults spend on formal exercise each week lies between 0.45 and 7.94.”


Option (a) is the correct interpretation because a confidence interval provides a range of values within which the true population mean is likely to fall. In this case, based on the researcher’s sample and statistical analysis, there is a 95% confidence that the true population mean number of hours adults spend on formal exercise per week is between 0.45 and 7.94 hours.

This interpretation takes into account the uncertainty inherent in statistical estimation and provides a range rather than a specific value. The other options either refer to the sample mean or imply probabilities, which are not accurate interpretations of a confidence interval.

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we can estimate that 762 adults in Eric's sample use their computer every day.

Each sample has an equal chance of being chosen as part of the sampling procedure known as random sampling. A randomly selected sample is intended to be a fair reflection of the entire population.

We can use the proportion from the article to estimate the number of adults who use their computer every day in Eric's sample.

The proportion of adults who use their computer every day from the article is:

15/25 = 0.6

This means that 60% of adults use their computer every day.

To estimate the number of adults who use their computer every day in Eric's sample, we can multiply the proportion by the sample size:

0.6 x 1,270 = 762

So we can estimate that 762 adults in Eric's sample use their computer every day.

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Answer:

\(\huge\colorbox{navy}{Answer}\)

\(lcm\: of \:7 \:and \:21 = 21 \: \: \: \)

Answer:

21 is the l.c.m of 7 and 21

explanation:

\(\sf \bold \mathrm{The\:LCM\:of\:}a,\:b\mathrm{\:is\:the\:smallest\:positive\:number\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b\)

7 :  7

21 : 3 * 7

.

multiply, 7 * 3 = 21 - which is divisible by both 21 and 7

Answer:

D

Step-by-step explanation:

I think...this is a really hard question but D is the one I would choose. Forgive me if I'm wrong

Charles Revson's statement refers to the augmented level of the product among the three levels of the product concept.

The product concept consists of three levels: core product, actual product, and augmented product. The core product represents the fundamental benefit or service that the customer is seeking. The actual product is the tangible product itself, including its features, design, and packaging. The augmented product includes additional services or benefits that enhance the customer experience beyond the core and actual product.

Charles Revson's remark, "In the factory, we make cosmetics; in the store, we sell hope," suggests that he recognized the importance of going beyond the physical cosmetics and offering intangible benefits to customers. He understood that customers are not only buying a physical product but also seeking emotional and psychological satisfaction. By emphasizing the emotional experience and the hope that customers would feel when using Revlon cosmetics, Revson was highlighting the augmented level of the product.

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