What is the slope of a line that is parallel to the line y = 3/4x + 2?

The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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On solving the provided question, we can say that Volume of cylinder, V = \(\pi r^2 X h\) => V = 3.14 * 8*8*4 = 803.84 cubic m

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

here,

we have a cylinder

and,

radius, r = 8m

height, h = 4m

Volume, V = \(\pi r^2 X h\)

V = 3.14 * 8*8*4 = 803.84 cubic m

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Answer:

32 ft

Step-by-step explanation:

First Tristan must determine the length of one side of his square garden.  Sine A = x^2, where x is the length of one side, and since 64 ft^2 = x^2, we can find the length x by taking the square root of both sides:   8 ft = x.

Now the length of the material enclosing the garden is the perimeter, P.

For a square, P = 4x.

Therefore, in this case, P = 4(8 ft) = 32 ft

Answer:

D

Step-by-step explanation:

the correct answer is D

Answer:

2 miles

Step-by-step explanation:

Divide 126720 by 63360.

Answer:

the answer is 2 miles

Step-by-step explanation:

(hope this helps)

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two: , the raw score is relatively lower than the mean.

If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.

A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two:

If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.

To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.

In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.

By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.

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The divisibility rule for 3 on any integer number  is proven in the detailed explanation of the solution.

Given a non-decimal number, n.

Suppose n may be divided by 3.

n should be thought of in terms of its digits as

n = d × 1 × 10⁽ⁿ⁻¹⁾⁽ⁿ⁻¹⁾ + d  × 2 × 10⁽ⁿ⁻²⁾ + ... + d × m × 10⁰

where d 1, d 2,..., d m are its digits and m is the number of digits in n.

The result of the preceding equation with n = 3k is

3k = d  × 1 × 10(m-1) + d × 2 × 10(m-2) +... + d × m × 10(m-0)

3000 is subtracted from both sides of the equation, giving us

0 = d × 1 × 10⁽ⁿ⁻¹⁾⁽ⁿ⁻¹⁾ + d  × 2 × 10⁽ⁿ⁻²⁾ + ... + d × m × 10⁰

We obtain by adding 3k to both sides of the equation.

3k = d × 1 × 10⁽ⁿ⁻¹⁾+ d

The divisibility rule is a heuristic for determining if two positive integers can be divided evenly (i.e. there is no remainder left over). For instance, determining if a number's last digit is 2, 4, 6, 8, or 0 makes it simple to determine whether it is even.

By examining the digits of the number, a divisibility rule provides a simple shorthand for determining if an integer is divisible by a particular set of factors without actually doing the division. This page only offers recommendations and examples for decimal, or base 10, numbers despite the fact that there are distinct divisibility tests for numbers in each radix or basis.

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Answer:

Hey!

NO IT IS NOT A STATISTICAL QUESTION!

Step-by-step explanation:

This is because you are including ONLY YOU...this wont work as statistics take data from a COLLECTION of people or things!

So a better question will be :

HOW OLD ARE THE PEOPLE IN MY NEIGHBORHOOD?

(averages)

HOPE THIS HELPS!!

Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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Answer:

a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b) The weight that 80% of the apples exceed is of 78.28g.

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.

Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.

This means that \(\mu = 85, \sigma = 8\)

a. Find the probability a randomly chosen apple exceeds 100 g in weight.

This is 1 subtracted by the p-value of Z when X = 100. So

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

\(Z = \frac{100 - 85}{8}\)

\(Z = 1.875\)

\(Z = 1.875\) has a p-value of 0.9697

1 - 0.9696 = 0.0304

0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b. What weight do 80% of the apples exceed?

This is the 100 - 80 = 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.

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

\(-0.84 = \frac{X- 85}{8}\)

\(X - 85 = -0.84*8\)

\(X = 78.28\)

The weight that 80% of the apples exceed is of 78.28g.

Answer:

x is -1/b yw

Step-by-step explanation:

Answer:

I think you need to know the value of X to get this answer.

Step-by-step explanation:

Answer:

36.3636364%

or 36.36

Step-by-step explanation:

Answer: 7) -12;

               8) 0 или 1.

Step-by-step explanation:

7.

x ≤ - 12

x ∈ ( - ∞; - 12]

Наибольшее целое значение, при котором верно неравенство равно -12.

8.

-9,6*8 > - 9,627

Варианты возможных чисел: -9,618 и -9,608.

Значит вместо звездочки можно подставить цифры 0 или 1.

The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\underline{y} is inversely proportional to the square root of \underline{x}}}{y = \cfrac{k}{\sqrt{x}}}~\hfill \stackrel{\textit{we also know that}}{ \begin{cases} y = 61\\ x = 9 \end{cases}}\)

\(61=\cfrac{k}{\sqrt{9}}\implies 61=\cfrac{k}{3}\implies 183=k~\hfill \boxed{y = \cfrac{183}{\sqrt{x}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{when x = 81, what is "y"?}}{ y = \cfrac{183}{\sqrt{81}}\implies y=\cfrac{183}{9}}\implies y = \cfrac{61}{3}\implies y = 20.\overline{3}\implies y = \stackrel{\textit{rounded up}}{20.33}\)

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

isn't that a graph perhaps ?

Answer

For the arithmetic sequence,

15th term = 7,500

For the geometric sequence,

15th term = 19,131,876

We can see that the geometric sequence has the larger 15th term.

Explanation

The general formula for an arithmetic progression is

f(n) = a + (n - 1)d

where

a = first term = 150

n = number of terms

d = common difference

= (Second term) - (First term)

= (Third term) - (Second term)

= Difference between consecutive terms

= 650 - 150

= 500

f(n) = 150 + (n - 1)500

f(n) = 150 + 500n - 500

f(n) = -350 + 500n

For the 15th term, n = 15

f(n) = -350 + 500n

f(15) = -350 + 500(15)

f(15) = -350 + 7500

f(15) = 7,150

For the geometric sequence,

where

a = first term = 4

n = number of terms

r = common ratio

= (Second term)/(First term)

= (Third term)/(Second term)

= Ratio of consecutive terms

= (12/4)

= 3

For the 15th term, n = 15

Hope this Helps!!!

Answer:

B.

Step-by-step explanation:

It is B because the height of the triangle is 9 and the height of B is 9. The bottom side of the triangle is 16 and the bottom of B is 16. The other labeled side is 10 and the side parallel to that side is 10 in figure B.

Answer:

C

Step-by-step explanation:

Sara's speed is 10mph while Bob is 8mph

Given:

y=3x-5

21x - 35 = 7y

Substitute the first equation into the second equation.

21x - 35 = 7(3x-5)

Open the parenthesis

21x - 35 = 21x - 35

Collect like term

21x - 21x = -35 + 35

0 = 0

Since, the above statement is true, then it has infinitely many solutions.

.

Answer:

Step-by-step explanation:

Probability of landing on pink:

If spun 10 times then possible outcomes with pink:

Answer:

3 times, or \(\frac{3}{10}\)

Step-by-step explanation:

There are 3 out of 10.

Answer:

6x+18

Step-by-step explanation:

6(x + 3).

Distribute

6x+6*3

6x+18

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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