What is the sequence of 1,-2,3,-4,5

Answer:

The length that separates the bottom 5% is of 4.87 centimeters.

The length that separates the top 5% is of 5.03 centimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.

This means that \(\mu = 4.95, \sigma = 0.05\)

Bottom 5%:

The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.645 = \frac{X - 4.95}{0.05}\)

\(X - 4.95 = -1.645*0.05\)

\(X = 4.87\)

The length that separates the bottom 5% is of 4.87 centimeters.

Top 5%:

The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 4.95}{0.05}\)

\(X - 4.95 = 1.645*0.05\)

\(X = 5.03\)

The length that separates the top 5% is of 5.03 centimeters.

Answer:

83.8

Step-by-step explanation:

first you add the grades together: 75 + 87 + 90 + 88 + 79 = 419

then you divide by the amount of grades: 419 / 5 = 83.8

Answer:

Answer 1008

Step-by-step explanation:

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

Answer:

x = -4 and  y = -9  or (-4,-9)

Step-by-step explanation:

6x-2y=-6

-5x+y=11       add the two equations together combining like terms

________

x-y=5

x=5+y

Substitute for x in terms of y

6(5+y)-2y =-6

30+6y -2y=-6

4y = -36

y=-36/4

y=-9

Substitute -9 for y into any equation to find x

x=5+y

x=5-9

x=-4

check your work by plugging your answers into any equation

-5(-4)+(-9) =11

20-9=11

11=11   the answers verify

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

1/4

Step-by-step explanation:

Probability of getting an odd number on a die = 3/6 = 1/2

Probability of getting tails on a coin = 1/2

Now you multiply both probabilities since the question says "and". If it says "or", then you add the probabilities.

1/2 × 1/2 = 1/4

Answer:

144 Kilometers per Hour = 40 Meters per Second

Step-by-step explanation:

multiply the value in kilometers per hour by the conversion factor '0.27777777777778'.

So, 144 kilometers per hour = 144 × 0.27777777777778 = 40 meters per second.

please mark 4 brainliests.

Answer: 40 m/s

Step-by-step explanation: you can multiplied by 5/18 to convert km/h to m/s ,and you can multiplied by 18/5 to convert m/s to km/h.

Answer:

look at the attached image

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer:

Please, read the anserws below

Step-by-step explanation:

In order to transform all quantities to meters you take into account the following conversion factors:

\(\frac{1km}{1000m}\\\\\frac{100cm}{1m}\\\\\frac{1hm}{100m}\\\\\frac{1000mm}{1m}\)

THen, you have:

for 0,08km:

\(0,08km*\frac{1000m}{1km}=80m\)

for 0,3cm:

\(0,3cm*\frac{1m}{100cm}=0,003m\)

for 0,77km

\(0,77km*\frac{1000m}{1km}=770m\)

for 0,05cm:

\(0,05cm*\frac{1m}{100cm}=0,0005m\)

for 0,04hm:

\(0,04hm*\frac{100m}{1hm}=4m\)

for 2hm:

\(2hm*\frac{100m}{1hm}=200m\)

for 9,1mm:

\(9,1mm*\frac{1m}{1000mm}=0,0091m\)

for 92cm:

\(92cm*\frac{1m}{100cm}=0,92m\)

The value of b in the expression -76=-3b-49, will be 9.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression -76=-3b-49, the value of b can be solved as below:-

-76=-3b-49

-3b = -76 + 49

-3b = -27

b = ( -27 / -3 )

b = 9

Therefore, the value of b in the expression -76=-3b-49, will be 9.

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The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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Answer:

In bold below.

Step-by-step explanation:

p^2 - 4 = (p - 2)(p + 2)

Note that 8 = 2^3 so

p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)

So The HCF is p + 2.

The LCM =  (p + 2)(p - 2)(p^2 + 4 - 2p)

Answer:

B

Step-by-step explanation:

Answer:

A. 14(2/5.1/7)

Step-by-step explanation:

Answer:

137,000

Step-by-step explanation:

its math bro

Answer:

Step-by-step explanation:

The desired distribution can be found by factoring out the greatest common factor from two numbers.

  30 sweaters + 45 trousers = 15(2 sweaters + 3 trousers)

Each of 15 children got 2 sweaters and 3 trousers.

_____

Additional comment

The two numbers can be factored as ...

  30 = 2·3·5

  45 = 3·3·5

The factors these numbers have in common are 3·5 = 15

Answer:

Step-by-step explanation:

There are an infinite amount of possibilities with the solution of (4,1).  As proof, plot the point (4,1) on a coordinate system.  Then, draw straight lines that pass through that point.  These lines can differ in slopes. They can be either be positive, negative, vertical, or horizontal.

x = 4

y = 1

x + y = 5

name me brainleist and say thank you, and rate 5 stars.

Answer:

12

Step-by-step explanation:

60(1/2)^30/13 = 12.118996

Answer:

Step-by-step explanation:

1. Get mileage per gallon by dividing miles traveled by gallons used

\(\frac{125}{5} = 25 mpg\\\)

2. Divide miles you want to travel by the mileage per gallon you got on the first step

\(\frac{400}{25} = 16 gallons\)

Answer:

1. \(x^{8}\)

2. \(k^{45\)

3. \(m^{6}n^{21}\)

4. \(64w^{18}\)

5. \(81y^{12}\)

6. \(16x^{4}\)

7. \(-125y^{9}\)

8. \(a^{36}b^{4}\)

9. \(\frac{1}{128} x^{28}\)

10. \(54a^{6}\)

11. \(8k^{10}\)

12. \(-\frac{16}{9} p^{24}\)

Step-by-step explanation:

A large expected number of events in random data usually makes mining for these events meaningless as a lot of false positives are generated. Hence, the statement is true.

When a large expected number of events are present in random data, it can lead to a lot of false positive results when mining for these events. This is because a large expected number of events increases the probability that any observed event is just a random occurrence and not a meaningful or significant one.

When there is a high rate of false positive results, the validity and reliability of the findings are called into question, making the data mining process meaningless. To ensure the validity and reliability of results, it's important to have a reasonable number of expected events in the data and to use appropriate statistical methods to control the false positive results.

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It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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Answer:

1287000

Step-by-step explanation:

Answer: choice A 1/2

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

so

1/3=2/3*p(B)

p(B)=1/2