The continuous random variable Y has a probability density function given by: f(y)=k(5-y) for 0 ≤ y ≤ 5,0 otherwise, for some value of k>0. What is the value of k? Number

Answer:the answer is 8n hope that helps!

Answer:

230.45

Step-by-step explanation:

81.19% × 283.84

= 0.8119 × 283.84

= 230.45

Answer:

Step-by-step explanation:

Solving steps81.19 % of 283.84

Step 1: Find the percentage value

=> \( \frac{283.84}{1} \times \frac{81.19}{100}\\ \)

=> \( \frac{23,044.9696}{100}\\ \)

Step 2: Round to 2 dp(decimal points)

=> 230.45

Answer:

x=0.25 so just go to the 0 (the origin) move a little bit to the right and plot a straight line that goes like this |.

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

0.25, got it right on edge

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer:9

Step-by-step explanation:1/7 of 63 =9

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

To determine the convergence of the series, let's analyze the terms and apply the ratio test. Answer : The limit evaluates to 0, which is less than 1.

The series can be written as:

∑(n=1 to ∞) n^2 * (3/8)^n

Using the ratio test, we compute the limit:

lim(n→∞) |(n+1)^2 * (3/8)^(n+1) / (n^2 * (3/8)^n)|

Simplifying the expression inside the absolute value:

lim(n→∞) |(n+1)^2 * (3/8)^(n+1) / (n^2 * (3/8)^n)|

= lim(n→∞) |(n+1)^2 * (3/8) / (n^2 * (3/8))|

Canceling out common terms:

lim(n→∞) |(n+1)^2 / n^2|

Expanding the numerator:

lim(n→∞) |(n^2 + 2n + 1) / n^2|

Taking the limit as n approaches infinity:

lim(n→∞) |1 + 2/n + 1/n^2|

As n approaches infinity, both (2/n) and (1/n^2) tend to zero, leaving us with:

lim(n→∞) |1|

Since the limit evaluates to 1, the ratio test does not provide a definitive answer. In such cases, we need to consider other convergence tests.

Let's try using the root test instead. The root test states that if the limit of the nth root of the absolute value of the terms is less than 1, the series converges.

We compute the limit:

lim(n→∞) [(n^2 * (3/8)^n)^(1/n)]

Simplifying inside the limit:

lim(n→∞) [(n^(2/n) * ((3/8)^n)^(1/n))]

Taking the nth root of the terms:

lim(n→∞) [n^(2/n) * (3/8)^(1/n)]

Since (3/8) is a constant, we can pull it out of the limit:

(3/8) * lim(n→∞) [n^(2/n) / n]

Simplifying further:

(3/8) * lim(n→∞) [(n^(1/n))^2 / n]

Taking the limit as n approaches infinity:

(3/8) * (1^2 / ∞) = 0

The limit evaluates to 0, which is less than 1. Therefore, by the root test, the series converges.

In summary, both the ratio test and the root test confirm that the series converges.

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Work Shown:

\(\displaystyle \int \sin(x) dx = -\cos(x)+C\\\\\displaystyle \int f(x)dx = g(x)+C\\\\\displaystyle \int_{a}^{b} f(x)dx = g(b)-g(a)\\\\\displaystyle \int_{0}^{\pi} f(x)dx = g(\pi)-g(0)\\\\\displaystyle \int_{0}^{\pi} \sin(x) dx = -\cos(\pi)-(-\cos(0))\\\\\)

\(\displaystyle \int_{0}^{\pi} \sin(x) dx = -\cos(\pi)+\cos(0)\\\\\displaystyle \int_{0}^{\pi} \sin(x) dx = -(-1)+1\\\\\displaystyle \int_{0}^{\pi} \sin(x) dx = 1+1\\\\\displaystyle \int_{0}^{\pi} \sin(x) dx = 2\\\\\)

The area is 2 square units. You can use WolframAlpha or GeoGebra to confirm.

The 95% confidence interval for the mean price of all cakes in the bakery is RM60.16 to RM61.44.

To construct a confidence interval for the mean price of all cakes in the bakery, we can use the formula:

Confidence Interval = Sample Mean ± Margin of Error

First, we calculate the margin of error using the formula:

Margin of Error = (Z * Standard Deviation) / sqrt(n)

Where Z is the critical value for the desired confidence level (95% confidence corresponds to a Z-value of approximately 1.96), Standard Deviation is the population standard deviation, and n is the sample size.

Substituting the given values:

Z = 1.96

Standard Deviation = RM4.50

Sample Size (n) = 3500

We can calculate the margin of error:

Margin of Error = (1.96 * 4.50) / sqrt(3500) ≈ 0.486

Next, we construct the confidence interval:

Confidence Interval = Sample Mean ± Margin of Error

Sample Mean = RM60.80

Confidence Interval = 60.80 ± 0.486

Therefore, the 95% confidence interval for the mean price of all cakes in the bakery is approximately RM60.16 to RM61.44. This means that we are 95% confident that the true population mean falls within this range.

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I worked the equation wrong, there's a correct answer.

Answer:

-2/3 I believe

Step-by-step explanation:

5/3 - 7/3= -2/3

Answer: A) 3\8

Explanation..

A-0.375

B-0.6666...

C-0.6666...

D-0.777777...

A terminating decimal is a decimal with an end-digit

Also a repeating decimal is a decimal (that repeats)

Ex. 3.8767676767..

Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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The total value of the furniture that was sold by Dennis is 3,500 dollars.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Dennis made an extra $245.00 for selling furniture.

Let the cost of the furniture be x.

Let the total value of the furniture be x + 245.

The extra $245.00 was 7% of the total value of the furniture he sold.

0.07(x + 245) = 245

         x+ 245 = 3500

                   x = 3255

Then the total value of the furniture is (3,255 + 245 =) $3,500.

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By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.

The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.

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Answer:

70%

Step-by-step explanation:

To find the decrease:

original/current

450/315 = .7

Now multiply .7 by 100 to get a percent

.7 * 100 - 70%

450 * .7 =  315

70% is the answer!

Answer:

30 percent

(315 - 450)/450

x 100% = 30%

Answer:

5.364

Step-by-step explanation:

5.3635 is the given number, and because the number next to the thousandths is a five, the number in the thousandths place can be rounded to 4.

Numbers that end in 9 like 69, 79, 89 and 99 are signed with a bounce movement. So, the correct answer is option C.

A number is a mathematical entity that may be used to count, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language. A number is an arithmetic value used to represent a quantity and to do computations. Numericals are written symbols that represent numbers, such as "3". A number system is a logical writing system for representing numbers with digits or symbols. The fascinating features that exist between numbers are referred to as number notions. These concepts assist us in doing computations and solving difficulties.

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Answer:

1267.18

Step-by-step explanation:

8.03x106=851.18

4.0x104=416

851.18+416=1267.18

Answer:

the cyan one b is greater than or equal to -16

Step-by-step explanation:

okay so b is at least (at least being the keyword) -16, at least means that -16 is the minimum

hope this helps:)

Rectangle 2 is the image of rectangle 1 after it rotates 90 degrees clockwise.

The given parameters are:

Rectangle 1

(1, -2), (4,-2), (4,-3) and (1, -3)

Rectangle 2

(-3, -1), (-2,-1), (-2, -4,) and (-3, -4)

By comparing the coordinates, we can see that the rule of transformation is:

(x,y) ⇒ (y,-x)

The above rule represents a 90° clockwise rotation

Hence, rectangle 2 is the image of rectangle 1 after it rotates 90 degrees clockwise.

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Answer: 90 Degrees

Step-by-step explanation: Trust me bro

Answer:

\( \frac{2}{3} ( \frac{1}{4} x - 6) \\ \\ = \frac{2}{12} x - \frac{12}{3} \\ \\ = \frac{1}{6} x - 4\)

Answer:

p = -3.5

Step-by-step explanation:

Simplifying

9 + -4(2p + -1) = 41

Reorder the terms:

9 + -4(-1 + 2p) = 41

9 + (-1 * -4 + 2p * -4) = 41

9 + (4 + -8p) = 41

Combine like terms: 9 + 4 = 13

13 + -8p = 41

Solving

13 + -8p = 41

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + -8p = 41 + -13

Combine like terms: 13 + -13 = 0

0 + -8p = 41 + -13

-8p = 41 + -13

Combine like terms: 41 + -13 = 28

-8p = 28

Divide each side by '-8'.

p = -3.5

Simplifying

p = -3.5

Answer:

p=-7/2

Step-by-step explanation:

Sample Standard Deviation of L1: approximately 2.982

Sample Standard Deviation of L2: approximately 2.338

To find the mean, median, N (sample size), population standard deviation, and sample standard deviation for the given data sets L1 and L2, we can perform the following calculations:

L1: 55, 57, 58, 59, 61, 62, 63

L2: 3, 4, 6, 9, 5, 3, 1

Mean:

To find the mean, we sum up all the values in the data set and divide by the number of observations.

Mean of L1: (55 + 57 + 58 + 59 + 61 + 62 + 63) / 7 = 415 / 7

≈ 59.286

Mean of L2: (3 + 4 + 6 + 9 + 5 + 3 + 1) / 7 = 31 / 7

≈ 4.429

Median:

To find the median, we arrange the values in ascending order and find the middle value. If there is an even number of observations, we take the average of the two middle values.

Median of L1: 59

Median of L2: 4

N (sample size):

The sample size is simply the number of observations in the data set.

N of L1: 7

N of L2: 7

Population Standard Deviation:

The population standard deviation measures the dispersion of the data points in the entire population. However, since we don't have access to the entire population, we'll calculate the sample standard deviation instead.

Sample Standard Deviation:

To calculate the sample standard deviation, we first find the deviations from the mean for each data point, square them, sum them up, divide by (N - 1), and take the square root.

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Answer:

Ariana Grande 100%

Step-by-step explanation:

Answer:

Ariana

Step-by-step explanation:

Answer:

61m/h

Step-by-step explanation:

488/8 (to get the number of miles PER HOUR) = 61 miles/ hour

In mathematics, a number is a quantity that represents a magnitude or size. Numbers can be used to measure, count, label, and represent values in a variety of contexts.

There are different types of numbers in mathematics, including:

Natural numbers: These are the counting numbers, starting from 1 and going up infinitely (1, 2, 3, 4, 5, ...).

Whole numbers: These are the natural numbers together with 0 (0, 1, 2, 3, 4, ...).

Integers: These are the whole numbers together with their negative counterparts (-3, -2, -1, 0, 1, 2, 3, ...).

Rational numbers: These are numbers that can be expressed as a ratio of two integers, such as 3/4, -2/5, or 7/1.

Irrational numbers: These are numbers that cannot be expressed as a ratio of two integers, such as π (pi) or √2 (the square root of 2).

Real numbers: These are all the rational and irrational numbers together.

Complex numbers: These are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit (i.e., the square root of -1).

So, "number" is a general term in mathematics that refers to a wide range of quantities and types of values.

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