write the equation of the line in slope-intercept from through point(5,3) and is parallel to 6x-5y=20

Answer:

Associative

Step-by-step explanation:

Answer:

yes its true

Step-by-step explanation

its true

The number of hours that it will take Alonso to drive 288 miles is 12 hours.

Since Alonso was driving down a road and after 4 hours he had traveled 96 miles, the speed will be:

Speed = Distance / Time

Speed = 96 / 4

Speed = 24 miles per hour.

Therefore, the time taken for 288 miles will be:

Time = Distance / Speed

Time = 288 / 24

Time = 12

The time taken is 12 hours.

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Answer:

368 in²

Step-by-step explanation:

Surface area of the triangular prism is the sum of the area of each net = 2(area of two triangle) + 2(area of two similar rectangles) + area of rectangle

= 2(½*bh) + 2(L*W) + (L*W)

Surface area = 2(½*5*7) + 2(15*8.6) + (15*5)

= 35 + 258 + 75

= 368 in²

Answer:b because the equation is right.

Step-by-step explanation:

Step-by-step explanation:

D.

15 × (1 + 2) is you're answer

The perimeter of any polygon is the sum of the length of the outline sides

From the attached picture we can see

A polygon with 5 sides

The lengths of 4 sides are h cm

The length of the 5th side is 1.7 cm

To find its perimeter add the length of the 5 sides

Since the perimeter is given 10.5 cm, then

P = 10.5

Substitute P by 10.5 in the equation above

Add the like terms on the left side

Subtract 1.7 from both sides

Divide both sides by 4

The value of h is 2.2 cm

The answer is a

We can check the answer by adding the 5 sides, the answer must be 10.5

The answer is correct

Answer:

Step-by-step explanation:

. Start with the equation: 2x = 10.

2. To isolate the variable x, we need to get rid of the coefficient 2. We can do this by performing the inverse operation, which is dividing both sides of the equation by 2.

Divide both sides of the equation by 2:

(2x)/2 = 10/2.

Simplifying, we have x = 5.

3. Therefore, the solution to the equation 2x = 10 is x = 5.

Answer:

Step-by-step explanation:

Answer:

\(35\%\) represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    \(k = 35\% = 0.35\)

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         \(\^ p = \frac{a+ b}{2}\)

=>      \(\^ p = \frac{28 + 42 }{2}\)

=>      \(\^ p = 35\%\)

Hence  \(35\%\) represents the sample proportion

Answer:

Step-by-step explanation:

Open the brackets

3 x 2x = 6x

3x -3 = -9

4 x 2x= 8x

4 x 4= 16

6x - 9 = 8x + 16

Move same to same side

-16 -9 = 8x - 6x

-25 = 2x

x -25/2

x = -12.5

Answer:

Step-by-step explanation:

3*(2x - 3) = 4*(2x + 4)​

6x - 9 = 8x + 16

6x - 8x = 16 + 9

-2x = 25

x = -25/2 or -12.5

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

check

3 * (2 * (-12.5) - 3) = 4 * (2 * (-12.5) + 4)

3 * (25 - 3) = 4 * (12.5 + 4)

3 * 22 = 4 * 16.5

66 = 66

the answer is good

Answer:

Option b.

Step-by-step explanation:

Note: The given expression is not in correct form. Consider the given expression is \(i^0\times i^1\times i^2\times i^3\times i^4\).

Let as consider the given expression is  

\(i^0\times i^1\times i^2\times i^3\times i^4\)

We know that,

\(i^0=1,i^2=-1,i^3=-i,i^4=1\)

Using these values, we get

\(i^0\times i^1\times i^2\times i^3\times i^4=1\times i\times (-1)\times (-i)\times 1\)

\(=i^2\)

\(=-1\)

The value of given expression is -1.

Therefore, the correct option is b.

The probability that the mean of the values of these homes is greater than $83,500 is 1.70 % .

Given :

A study of 800 homeowners in a certain area showed that the average value of the homes was S82,000, and the standard deviation was $5000. If 50 homes are for sale .

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = x - μ / σ / \(\sqrt{n}\)

μ = $82000, σ = 5000, n = 50. Hence for x > 83500:

= 83500 - 82000 / 5000 / \(\sqrt{50}\)

= 2.12

Probability = 1 - 0.9830

= 0.0170

converting into percentage :

= 0.0170 * 100 %

= 1.70 %

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The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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9514 1404 393

Answer:

  B, C, H, D, F, A

Step-by-step explanation:

Starting with y = f(x), swap x and y to get x = f(y), then solve for y. The solution steps "undo" what is done to y, in reverse order. Y is ...

To "undo" these steps in reverse order, after swapping x and y, you must square both sides, add 21, then divide by 7.

If the left tiles are labeled A to H from top to bottom, the correct sequence of steps is ...

  B, C, H, D, F, A

Answer:

 x (15 y + 6) is equivalent to 3x(2+5y)​

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

Answer:

（8,9）

Step-by-step explanation:

-4＋8＝4

-4＋9＝5

that what i think

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

 the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

Answer:

Step-by-step explanation:

Check THe picture attached, hope it helps ❤️

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Answer:

\(\chi^2 =\frac{60-1}{64} 36 =33.19\)

The degrees of freedom are:

\(df= n-1= 60-1= 59\)

And the p value would be given by:

\(p_v =2*P(\chi^2 >33.19)=0.0053\)

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.

Step-by-step explanation:

Data given

\(n=60\) represent the sample size

\(\alpha=0.01\) represent the confidence level  

\(s^2 =6^2 =36 \) represent the sample variance obtained

\(\sigma^2_0 =8^=64\) represent the value that we want to test

Hypothesis to test

We want to verify if the true deviation is equal to 8 days o not, so the system of hypothesis would be:

Null Hypothesis: \(\sigma^2 = 64\)

Alternative hypothesis: \(\sigma^2 \neq 64\)

The statistic is given by:

\(\chi^2 =\frac{n-1}{\sigma^2_0} s^2\)

Replacing we got:

\(\chi^2 =\frac{60-1}{64} 36 =33.19\)

The degrees of freedom are:

\(df= n-1= 60-1= 59\)

And the p value would be given by:

\(p_v =2*P(\chi^2 >33.19)=0.0053\)

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.

The value of x is 5.

What is a angle of a triangle?

In a triangle, there are three angles. These angles are created by the triangle's two sides coming together at the triangle's vertex. Three inner angles added together equal 180 degrees. The side length generates an outside angle if we stretch it outside.

Given that, ∠KLM = 81°,  ∠LKM = 4x°, and ∠KMN = (13x+36)°.

Theorem of exterior angle:

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

According to theorem of exterior angle,

∠KMN = ∠KLM + ∠LKM

(13x+36)° = 81° + 4x°

Subtract 4x from both sides:

9x + 36 = 81

Subtract 36 from both sides:

9x = 45

Divide both sides by 9:

x = 5

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Answer: $6000

Hope this helps!-xoxo

9514 1404 393

Answer:

  120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

__

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

Answer:

64/95

Step-by-step explanation:

Ok so unsimplified, you get 512 matchsticks to 760 penne pieces.

You can write ratios like 512:760, but since you want simplified, I assume you want a fraction.

Both 512 and 760 can divide by 8, so 512/760 simplifies to 64/95.

Hope this helps!

The ratio of the match sticks to penne pieces is 64:95

The given parameters are:

Express as a ratio

Ratio = Matchsticks : Penne pieces

So, we have:

Ratio = 512 : 760

Simplify the ratio

Ratio = 64 : 95

Hence, the ratio of the match sticks to penne pieces is 64:95

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Answer:

It's should be something like this

The data that appears to have a consistent rate of change over time or with respect to another variable often appears to be linear.

The data that has a clear trend or pattern that can be represented by a straight line is best modeled using a line.

Linear graphs are useful because they allow us to easily visualize and analyze trends or patterns in data. The equation of a line can also be used to make predictions or forecasts based on the data. Linear graphs can be used to identify correlations between variables and to assess the strength and direction of those correlations.

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