Without using a calculator, evaluate 3675° - 3680 x 3670 by using special algebraic
identities.​

The normal distribution have an importance in statistics of whether or not out appears in nature, because it fits several natural phenomena.

For exa. measurement error, heights, IQ scores, and physical activity measures all follow the normal distribution.

In this question we need to describe why does the normal distribution have an importance in statistics of whether or not out appears in nature.

We know that if we plot the probability distribution and it forms a bell-shaped curve. If the mean, mode, and median of the sample are equal then the variable has normal distribution.

A normal distribution is dependent on two parameters of the data set: mean and the standard deviation of the sample.

This characteristic of the normal distribution makes it extremely simple.

Also, the normal distribution is important because of the Central limit theorem.

It makes math easy - like calculating moments, correlations between variables, and other calculations that are domain specific.

So, the normal distribution have an importance in statistics of whether or not out appears in nature.

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A linear correlation coefficient is a number calculated from given data that measures the strength of the linear relationship between two variables: x and y. The sign of the linear correlation coefficient indicates the direction of the linear relationship between x and y.

Compute the standardized value of each yi using the formula (zy)i = (yi – ş) / s y . Assemble the product from the last step. Divide the previous step sum by n - 1. where n is the total number of points in the paired data set. All these results have a correlation coefficient of r

. The correlation coefficient formula indicates how close the linear relationship is between two variables. R-squared is the square of the correlation coefficient r (hence the formula r-squared).

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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The function f(x) = \(5(3)^x+3\) is continuous everywhere on its domain, which is (-∞, ∞).

The function f(x) =  \(5(3)^x+3\)   is continuous everywhere because it is an exponential function with a base of 3, which is a positive number. Exponential functions with positive bases are continuous over their entire domain.

To see why, consider the definition of continuity: a function f(x) is continuous at a point x = c if the limit of f(x) as x approaches c exists and is equal to f(c). For an exponential function with a positive base, as x approaches c, the function values either increase to infinity or decrease to 0, depending on whether the exponent is positive or negative, respectively. In either case, the limit exists and is equal to the function value at c, so the function is continuous at c. Since this holds for all points in the domain, the function is continuous everywhere it is defined.

The domain of f(x) is all real numbers, so the function is continuous on the interval (-infinity, infinity), or in interval notation, the domain is (-∞, ∞).

In summary, the function f(x) = 5(3)ˣ +3 is continuous everywhere on its domain, which is (-∞, ∞).

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Answer:

70,000

Step-by-step explanation:

Answer:

The correct answer is 73,000.

Step-by-step explanation:

This is because, we know that the number 7 or 70,000 represents the ten-thousands in this number. Therefore, the number 2 or 2,000 represents the thousands place, which is what we are trying to round.

In order to do so, we have to look at the number behind it, which, in this case, is 6.

Rule: If the number is 4 or less, the number before it stays the same. If the number is 5 or more, the number before it goes up 1.

Since 6 is larger than 5, the 2 will become a 3, while the other numbers become 0s.

Therefore, the correct answer is 73,000.

Hope this helps! :)

The number of feet a person on the carousel travels in 8 revolutions is 1004.80 feet

The circumference of a circle is the distance round the circle. It is the perimeter of the circle.

circumference of a circle = 2πr

2 x 20 x 3.14 = 125.60 feet

Number of revolutions = 8 x 125.60 feet = 1004.80 feet

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Answer:

90

Step-by-step explanation:

We need to split this into two shapes are solve one first. In this example I will solve the rectangle on the left first.

V=LWH

V=2(6)(4)

V=48

2nd rectangle

V=LWH

V=1.5(4)(7)

V=42

Add those together

V=48+42

V=90

Answer:

43.2

Step-by-step explanation:

Answer:

144 cm squared

Step-by-step explanation:

For this question, use the formula for area of a triangle (A = 1/2 * base * height)

Plug in the numbers you have, and A = 1/2 * 18 * 16, or 144 cm squared.

Hopefully this helps - let me know if you have any questions!

To fill the rectangular prism we need 1 cube.

To find the number of cubes needed to fill the rectangular prism, we can calculate the volume of the prism and divide it by the volume of a single cube.

The volume of the rectangular prism is given by the formula:

Volume = Length × Width × Height

Substituting the given values:

Volume = 8 in. × 4 in. × 21 in.

Volume = 672 in³

The volume of a cube is given by the formula:

Volume = Edge Length³

Substituting the given edge length:

Volume of a cube = (14 in.)³

Volume of a cube = 2744 in³

Now, we can divide the volume of the prism by the volume of a single cube to find the number of cubes needed:

Number of cubes = Volume of prism / Volume of a single cube

Number of cubes = 672 in³ / 2744 in³

Calculating this division gives:

Number of cubes ≈ 0.245

Since we cannot have a fraction of a cube, we need to round up to the nearest whole number. Therefore, we would need 1 cube to fill the rectangular prism.

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Answer:

approx. 68%

Step-by-step explanation:

this is a normal distribution.

in a normal distribution, approximately 68% of the data is within one standard deviation of the mean (we also have 95% of data is within two standard deviations of the mean, and 99.7% of data is within three standard deviations of the mean).

one standard deviation in our question is 113.

315 is one standard deviation below the mean because 428 - 113 = 315.

541 is one standard deviation above the mean because 428 + 113 = 541.

so we expect approx. 68% of the data to be between 315 and 541.

Answer:

2 = 1

Step-by-step explanation:

5y = ax + 5 and 1/4y = 1/10x - 1We need both formula in slope-intercept format...y=mx+bm=slopeb=y-intercept, value of y when x=05y = ax + 5Let's divide both sides by 5...(5y)/5=[(a/5)x]+(5/5)y=(a/5)x+1Any line parallel to this, must have a slope equal to a/5. 1/4y = 1/10x - 1Let's multiply both sides by 4...4[(1/4)y]=[(1/10)(4)x]-[(1)(4)]y=(4/10)x-4y=(2/5)x-4 2/5 = a/5 2=a

Answer:

a = 125°, b = 20°, c = 35°, d = 90°, e = 55°

Step-by-step explanation:

Quadrilateral PQRS is inscribed in a circle, therefore it is a cyclic quadrilateral.

PQ is diameter, SR is chord and PR is transversal such that:

PQ || SR... (given)

\( m\angle PRQ = 90°..(\angle \: inscribed \: in\: semicircle) \\

\huge \red {\boxed {\therefore d = 90°}} \\\\

m\angle RPQ= m\angle PRS .. (alternate \: \angle s) \\

\huge \purple {\boxed {\therefore c = 35°}} \\\\

In\: \triangle PQR, \\

c + d + e = 180°\\

35° + 90° + e = 180°\\

125° + e = 180°\\

e = 180° - 125°\\

\huge \orange {\boxed {\therefore e = 55°}} \\\\

a + e = 180°...(opposite \:\angle 's \: of \: cyclic \: quadrilateral) \\

a + 55°= 180°\\

a = 180°- 55°\\

\huge \blue {\boxed {a = 125°}} \\\\

In\: \triangle PSR, \\

a + b + 35°= 180°\\

125° + b + 35° = 180°\\

160° + b = 180°\\

b = 180° - 160°\\

\huge \pink {\boxed {b = 20°}}

\)

Answer: PLEASE GIVE BRAINLIEST

B) 55h + 65

Step-by-step explanation:

The correct expression is B) 55h + 65, which models the situation as $55 per hour of work (h) plus a $65 service call fee.

Answer:

v = $100x + $120

Step-by-step explanation:

In this scenario, the fixed amount would be the $120 that Leslie's sister gave her. While $100 would be multiplied by the number of months (x) that have passed by which in this scenario would be our variable since we do not have this information. Lastly, these two values would be added to give us Leslie's total savings (v)

v = $100x + $120

Answer:

the first choice: There are 3 points of tangency.

Step-by-step explanation:

Answer:

[y]

-16

-12

0

12

16

Step-by-step explanation:

Put the x value in the equation to find your answer

Answer:

-16

-12

0

12

16

Step-by-step explanation:

y = 4(-4) = -16

y = 4(-3) = -12

y = 4(0) = 0

y = 4(3) = 12

y = 4(4) = 16

a) Relative Frequency of class D is equals to 0.2..

b) Frequency of class D is equals to the 40.

c) Frequency distribution of classes is third column of above table.

d) The percent frequency distribution for classes is fourth column of above table in figure.

A relative frequency distribution is one important type of frequency distribution. Relative frequency calculated by the number of times an event occurs divided by the total number of events occurring in a scenario. We have, a table consists relative frequency for three classes A,B and C and we have to calculate the relative frequency for class D. Total sum of all relative frequencies for values = 1

a) So, relative frequency for class D = 1 - relative frequencies for A,B and C

= 1 - 0.24 - 0.16 - 0.4

= 1 - 0. 8 = 0.2

b) Sample size, n = 200 i.e.,

Possible frequency value = 200 .

Frequency of class D = 200× 0.2 = 40

c)

Relative frequency = frequency/ total frquency

=> Frequency of a value = relative frequency × n = 0.24 × 200 = 48

Frequency of class B = 0.16 × 200 = 32

Frequency of class C = 0.4 × 200 = 80

Frequency of class D = 0.2 × 200 = 40

Frequency distribution table present above.

d) Now, the percent frequency distribution .

percent frequency= relative frequency × 100

So, percent frequency of class A

= 0.24 × 100 = 24%

Percent frequency of class B = 0.16 × 100

= 16%

Percent frequency of class C = 0.4 × 100

= 40%

Percent frequency of class D = 0.2 ×100

= 20%

Thus, all required values are present in above table in figure.

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Complete question:

A partial relative frequency distribution is given. class relative frequency

A 0.24

B 0.16

C 0.40

D ?

a) what is the relative frequency of class D?

.2 correct: your answer is correct.

(b) the total sample size is 200. what is the frequency of class D?

40 correct: your answer is correct.

(c) show the frequency distribution.

class frequency a 48 correct: your answer is correct. b 32 correct: your answer is correct. c 80 correct: your answer is correct. d 40 correct: your answer is correct. total 200 correct: your answer is correct.

(d) show the percent frequency distribution. class percent frequency a .24 incorrect: your answer is incorrect. b .16 incorrect: your answer is incorrect. c .4 incorrect: your answer is incorrect. d .2 incorrect: your answer is incorrect. total 1 incorrect: your answer is incorrect.

The standard deviation of a sample proportion is given by the formula:

σ = sqrt((p * (1 - p)) / n)

where σ is the standard deviation, p is the sample proportion, and n is the sample size.

If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:

(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)

To simplify the equation, we can square both sides:

((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100

Simplifying further:

100 * n^2 = 4 * 1

n^2 = (4 * 1) / 100

n^2 = 0.04

Taking the square root of both sides:

n = sqrt(0.04)

n = 0.2

Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.

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Answer:

1.  ≠

2. =

Step-by-step explanation:

Cross products mean you multiply the top of the first one by the bottom of the second one and compare it to multiplying the bottom of the first one by the top of the second one.

1. 7*10 is not equal to 5*15, so the answer is not equal.

2. 6*20 is equal to 8*15, so the answer is equal

30x and 12 have a common factor of 6.   So yes, this might have been the result of distributing the 6 in

6(5x - 2)

Answer:

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Step-by-step explanation:

30 and 12 have these factors in common: 2, 3, 6

There are three possible answers.

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Answer:

6.3/2.5=2.52

Step-by-step explanation:

Answer:

2.52

Step-by-step explanation:

Answer:

Explanation:

Answer:

A

Step-by-step explanation:

Answer:

12321

Step-by-step explanation:

jeff

First you will get 4dz

Answer:

equation: 3.5x=31.5

number of hours: 9

Step-by-step explanation:

31.5/3.5=9

Therefore,

x=9, x=number of hours, number of hours=9

Answer: 96

Step-by-step explanation:

A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121

Then, we have 9 digits, and all the digits need to be even.

the options are: 0, 2, 4, 6, 8.

Now, we can think of a 9-digit number as 9 empty slots, and in each slot, we can put a number.

But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.

So, we can think it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.

For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9-digit number).

for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)

for the third digit, we have 3 options

for the fourth digit, we have 2 options

for the fifth digit, we have only one option.

The total number of combinations is equal to the product of the number of options for each selection:

C = 4*4*3*2*1 = 96

The probability value for P(B) is obtained to be, Option (c) : 0.83.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

We can use the formula: P(A È B) = P(A) + P(B) - P(A Ç B) to find P(B).

Rearranging the terms, we get -

P(B) = P(A È B) - P(A) + P(A Ç B)

Substituting the given values, we get -

P(B) = 0.72 - 0.55 + 0.66

P(B) = 0.83

The probability of an event A occurring is denoted by P(A) and is a number between 0 and 1, inclusive.

If A and B are two events, then P(A È B) denotes the probability that at least one of A or B occurs.

P(A Ç B) denotes the probability that both A and B occur simultaneously.

The formula used to find P(B) in terms of P(A), P(A È B), and P(A Ç B) is known as the addition rule of probability.

Therefore, the answer is 0.83.

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