Conider the line y= 5/2x5
1. Find the equation of the line that i perpendicular to thi line and pae through the point (-5,6)

2. Find the equation of the line that i parallel to thi line and pae through the point (-5,6)

This expression will give you the probability of drawing exactly two blue marbles.

To find the probability that she draws exactly two blue marbles, we need to consider the probability of drawing two blue marbles and one red marble in any order.

Let's assume the probability of drawing a blue marble is denoted by "P(B)" and the probability of drawing a red marble is denoted by "P(R)". Since she replaces only the blue marbles, the probability of drawing a blue marble remains the same for each draw.

To calculate the probability of drawing exactly two blue marbles, we can use the binomial probability formula:

P(2 blue marbles) = C(3, 2) * (P(B))^2 * (P(R))^1

Where C(3, 2) is the number of ways to choose 2 items out of 3, given by the combination formula:

C(3, 2) = 3! / (2! * (3 - 2)!) = 3

Since the probability of drawing a blue marble remains the same for each draw, we can simplify the formula:

P(2 blue marbles) = 3 * (P(B))^2 * (P(R))^1

Now, substitute the actual values of P(B) and P(R) into the formula. For example, if the probability of drawing a blue marble is 0.4 and the probability of drawing a red marble is 0.6, the calculation would be:

P(2 blue marbles) = 3 * (0.4)^2 * (0.6)^1

Simplifying this expression will give you the probability of drawing exactly two blue marbles.

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Answer:

=−13m−28

Step-by-step explanation:

Let's simplify step-by-step.

2−13m−30

=2+−13m+−30

Combine Like Terms:

=2+−13m+−30

=(−13m)+(2+−30)

=−13m+−28

Answer:

0.036

Step-by-step explanation:

Number of wheels = 3

Total number of symbols on each wheel = 10

number of skulls = 4

number of Lemons = 3

number of cherries = 2

number of bell = 1

Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent

P(of getting Lemon, cherry and berry ) =  6 * P( lemon , cherry , Bell )

= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )

= 0.036

The equation that best models the situation is 2mmm + 5 = 333, where mmm represents the minutes spent digging a hole for a single rosebush.

Anna spent 333 hours in her garden planting 666 rosebushes. We can divide this into minutes by multiplying 333 by 60, which gives us 19980 minutes.

Since Anna spent twice as long digging the hole for each plant as she did refilling it, she spent an equal amount of time digging the hole for each rosebush and refilling it.

Therefore, if we let mmm represent the minutes spent digging the hole for a single rosebush, we can create an equation for the time spent digging the holes for all 666 rosebushes, which is 2mmm × 666.

We can then add the time spent refilling the holes, which is 5 minutes per rosebush, or 5 × 666.

This gives us our final equation of 2mmm × 666 + 5 × 666 = 19980.

We can then solve for mmm by dividing both sides by 1332, which gives us 2mmm + 5 = 333.

The equation that best models the situation is 2mmm + 5 = 333, where mmm represents the minutes spent digging a hole for a single rosebush.

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The equation 2mmm + 2 = 333 models the situation in which Manna spent twice as long digging a hole for each rosebush as she did refilling it for 333 hours.

2mmm + 2 = 333

2mmm = 331

mmm = 165.5

Manna spent 165.5 minutes digging a hole for each rosebush.

The equation 2mmm + 2 = 333 models the situation in which Manna spent twice as long digging a hole for each rosebush as she did refilling it for 333 hours. By solving the equation, we can determine that Manna spent 165.5 minutes digging a hole for each rosebush. This means that she spent a total of 331 minutes refilling the holes with the root ball, dirt, and compost for each rosebush. Therefore, for planting 666 rosebushes, Manna spent a total of 333 hours in her garden.

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Answer:

58

Step-by-step explanation:

Hello, let's note the two digits a and b. the first number 'ab' can be written as 10a +b. For instance if this is 24 it can be written 20 + 4.

If the digits are interchanged the number become 'ba' so 10b + a

We can say that 10a + b + 10b + a = 143

11(a+b)=143

We divide by 13 both sides and we take

a+b = 143/11 = 13

and we know that the digits differ by 3 so b = a + 3

then a + b = a + 3 + a = 2a + 3 = 13

so 2a = 10 and then a = 5

Finally, b = 5+3=8 so the number is 58.

And we can verify that 58 + 85 = 143.

Thanks

Answer:

❍ According to Question now,

➥ 10(x + 3) + x + 10x + x + 3 = 143

➥ 10x + 30 + 12x + 3 = 143

➥ 22x + 33 = 143

➥ 22x = 143 - 33

➥ 22x = 110

➥ x = 110/22

➥ x = 5

Therefore,

The unit digit number = x = 5

The tens digit number = x + 3 = 5 + 3 = 8

The original number = 10(x + 3) + x

The original number = 10(5 + 3) + 5

The original number = 50 + 30 + 5

The original number = 85

Hence,the original number is 85.

The reported sky cover is one continuous overcast layer, its thickness is 5,780 feet.

To calculate the thickness of a cloud layer, you need to subtract the cloud base height from the cloud top height. In this case, the sky cover is reported as one continuous layer, and the cloud top is reported at 6,500 feet.

Aviation Routine Weather Reports (METARs) typically include cloud height information in increments of 100 feet above ground level (AGL). If the sky cover is reported as overcast (OVC) with no height information, it is assumed to be at or below 6,000 feet AGL.

Therefore, the thickness of the cloud layer in this scenario can be calculated as follows:

Cloud base height = 620 feet (field elevation) + 100 feet = 720 feet AGL

Cloud thickness = Cloud top height - Cloud base height

= 6,500 feet - 720 feet

= 5,780 feet

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\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{4+2}{2}\implies \cfrac{6}{2}\implies 3\)

Answer:

3

Step-by-step explanation:

slope = y2-y1/x2-x1

from the question above,

X1= 1 Y1= -2

X2= 3 Y2= 4

SLOPE OF THE LINE

= 4--2/3-1

= 4+2/2

= 6/2= 3

slope of the line = 3

Answer:

B.

Step-by-step explanation:

Step 1: Write equation

$115 already saved up

$20 per yard mowed (variable)

$450 ≥

450 ≥ 20x + 115

Step 2: Plug in 9 lawns mowed

x = 9

450 ≥ 20(9) + 115

450 ≥ 180 + 115

450 ≥ 295

Since after mowing 9 lawns and gain only $295 total, we know that James is incorrect.

Answer:

228

Explain your answer:

Answer:

A = 228 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

here h = 12 and b₁ = 14, b₂ = 24 , then

A = \(\frac{1}{2}\) × 12 × (14 + 24) = 6 × 38 = 228 ft²

The two linearly independent solutions are

\(y1 = x^3(1−6x^2/3!+….)y2 = x^(−2)(1/18−7x^2/5!+….)\)

Given differential equation is

\(6xy″ − y′ + 6y = 0\)

We need to find two linearly independent series solutions to the differential equation about

\(x = 0.k+r-1 "K-1]x² = 0\)

The given equation can be solved by power series method, the solution is of the form of a power series.

\(6xy″ − y′ + 6y = 0\)

Let's solve this by assuming thaty = ∑anxnWe can obtain the first derivative of the equation by differentiating each term of the power series.

\(y′ = ∑nanxn−1\)

The second derivative can be found by differentiating again.

\(y″ = ∑nan(n−1)xn−2\)

Substituting these into the differential equation.

\(6x ∑nan(n−1)xn−1 − ∑nanxn + 6 ∑anxn = 0\)

Rearranging this equation.

\(6 ∑nan(n−1)xn − ∑nanxn + 6 ∑anxn = 0∑[6(n+r)(n+r−1)−(n+r)]anxn + 6 ∑anxn = 0n=0\)

We can rewrite the equation as

\(n(n+r−1)an = (n−r+1)an−r−6an−1n≥1\)

The indicial equation is given by:

\(r(r−1) + 6r = 0r2 − r + 6 = 0(r − 3)(r + 2) = 0r1 = 3r2 = −2\)

Thus, the solutions are of the form of a power series about the regular singular point x = 0. We can assume the solution as

\(y1 = ∑cnxn+y2 = ∑dnxn−2\)

We have to substitute the solutions and get two linearly independent solutions.

Let's substitute the series into the equation

\(n(n + r − 1)cn = (n − r + 1)cn−r − 6cn−1For y1x = ∑cnxn\)

\(For x^3n = 3n + r − 1,\)

\(cn = cn−3 − 6cn−2/3n(n + r − 1)\)

\(cn = cn−3 − 6cn−2\)

Let's substitute this into the differential equation

\(6x ∑[3n + r − 1]c(n+3)x^(n+2) − ∑ncnx^n + 6 ∑cnxn = 0\)

For y2

For x^1, we can get

d1 = 0d3

= 1/18 d5

= −7/1296 d7

= 23/81648 d9

= −19/3483648

The two linearly independent solutions are

\(y1 = x^3(1−6x^2/3!+….)y2 = x^(−2)(1/18−7x^2/5!+….)\)

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0.1174 and 0.1173 points can be rejected at the 90% confidence interval.

What is standard deviation?

standard deviation will be 0.002222251111

Z

80%              1.282

85%               1.440

90%                 1.645

95%               1.960

99%                 2.576

99.5%             2.807

99.9%             3.291

90% Confidence Interval: 0.11464 ± 0.00163

(0.113 to 0.116)

Hence 0.1174 and 0.1173 points can be rejected.

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Answer:

$21.99

Step-by-step explanation: $28.39

                                            - $  6.40

                                          = $21.99  

Answer:

25.

Step-by-step explanation:

For each of the 5 numbers on the first spinner there could be any one of the 5 colours on the other spinner.

So possible outcomes = 5 * 5.

The possible outcomes of the given sample space are 25.

We have given that,

You spin a spinner numbered from 1 to 5 and spin another spinner with the colors blue, orange, yellow, green, and red.

A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.

For each of the 5 numbers on the first spinner, there could be any one of the 5 colors on the other spinner.

So possible outcomes = 5 * 5.

Therefore, The possible outcomes of the given the sample space is 25.

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Answer:0.3

Step-by-step explanation:

Interval estimation refers to the use of sample data to calculate a range of values that is believed to include the value of the population parameter.

Interval estimation in statistics is the calculation of the interval or set of values in which the parameter is. For example, the mean (mean) of the population is most likely to be located. The confidence coefficient is calculated by choosing intervals in which the parameter falls with a probability of 95 or 99 percent. Consequently, the intervals are referred to as confidence interval estimates. The formula for estimating an interval is, \( \mu = \bar x ± Z_{ \frac{\alpha}{2}}(\frac{\sigma}{\sqrt{n}})\)

Where, the confidence coefficient

The purpose of the interval estimate is to quantify the precision of the point estimate. So the desired answer is an interval estimate.

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Answer:

$636

dont trust me im just a 7th grader

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

5x + 4 - 3x + 8 = 16

Step 2: Solve for x

Combine like terms: 2x + 12 = 16

Subtract 12 on both sides: 2x = 4

Divide both sides by 2: x = 2

Step 3: Check

Plug in x to verify it's a solution.

5(2) + 4 - 3(2) + 8 = 16

10 + 4 - 6 + 8 = 16

14 - 6 + 8 = 16

8 + 8 = 16

16 = 16

Answer:

\(x=2\)

Step-by-step explanation:

\(5x + 4 - 3x + 8 = 16\)

\(2x+4+8=16\)

\(2x+12=16\)

Subtract 12 from both sides:

\(2x+12-12=16-12\)

\(2x=4\)

Divide both sides by 2:

\(\frac{2x}{2}=\frac{4}{2}\)

\(x=2\)

Answer:

I think it may be A

Step-by-step explanation:

The value 30 is not present in the given data set.The given data set is: 67,38,21,89,23,36,82,11,53,77,29,17

In order to search for the values 29 and 30 in the data set using binary search algorithm, the given data set should be sorted in ascending order.

Arranging the given data set in ascending order, we get11, 17, 21, 23, 29, 36, 38, 53, 67, 77, 82, 89

a) Search for value 29 Binary search algorithm for the value 29:

Step 1: Set L to 0 and R to n - 1, where L is the left index, R is the right index, and n is the number of elements in the data set.

Step 2: If L > R, then 29 is not present in the data set. Go to Step 7.

Step 3: Set mid to the value of ⌊(L + R) / 2⌋.Step 4: If x is equal to the value at index mid, then return mid as the index of the element being searched for.

Step 5: If x is less than the value at index mid, then set R to mid - 1 and go to Step 2. This sets a new right index that is one less than the current mid index.

Step 6: If x is greater than the value at index mid, then set L to mid + 1 and go to Step 2. This sets a new left index that is one more than the current mid index.

Step 7: Stop. The algorithm has searched the entire data set and 29 was not found in the given data set. The recursion diagram for the binary search algorithm for the value 29 is:We can see that the binary search algorithm for the value 29 has terminated in the fifth iteration.

Thus, the value 29 is present in the given data set.b) Search for value 30Binary search algorithm for the value 30:

Step 1: Set L to 0 and R to n - 1, where L is the left index, R is the right index, and n is the number of elements in the data set.

Step 2: If L > R, then 30 is not present in the data set. Go to Step 7.

Step 3: Set mid to the value of ⌊(L + R) / 2⌋.

Step 4: If x is equal to the value at index mid, then return mid as the index of the element being searched for.

Step 5: If x is less than the value at index mid, then set R to mid - 1 and go to Step 2. This sets a new right index that is one less than the current mid index.

Step 6: If x is greater than the value at index mid, then set L to mid + 1 and go to Step 2. This sets a new left index that is one more than the current mid index.

Step 7: Stop. The algorithm has searched the entire data set and 30 was not found in the given data set. The recursion diagram for the binary search algorithm for the value 30 is:

We can see that the binary search algorithm for the value 30 has terminated in the fifth iteration.

Thus, the value 30 is not present in the given data set.

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Answer:

Step 1: Locate and underline the whole numbers place (2) then look at the digit to the right (6):

2.6

Step 2: In this case, the digit to the right (6) is 5 or above. So, we add 1 to the whole numbers place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 3 as the answer.

In short: 2.6 rounded to the nearest whole number is 3.

Answer:

$31.20

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y = 4

8x - 2(4) = 48

8x - 8 = 48

Add 8 to each side

8x-8+8 = 48+8

8x = 56

Divide each side by 8

8x/8 = 56/8

x=7

Answer:

\(x = 7\)

Step-by-step explanation:

\(8x - 2y = 48 \\ 8x = 48 + 2y \\ x = \frac{48 + 2y}{8} \)

\(y = 4\)

\(x = \frac{48 + 2y}{8} \\ x = \frac{48 + 2 \times 4}{8} \\ x = \frac{48 + 8}{8} \\ x = \frac{56}{8} \\ x = 7\)

hope this helps

brainliest appreciated

good luck! have a nice day!

hiStep-by-step explanation:

Answer:

Step-by-step explanation:

o.10

Answer:

Step-by-step explanation:

Step-1: Convert the mixed fractions into improper fractions.

Step-2: Multiply the improper fractions.

[The minuses on both fractions cancelled out because when there are 2 minuses multiplying each other, the minuses cancel out.]

Step-3: Convert the improper fraction into mixed fraction.

Hence, the answer is 9 1/5.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

y = x - 6

Since the slope is 1, it can be put as x .

Answer/Step-by-step explanation:

George:

4.3% ÷ 100 = 0.043

0.043 × 5000 = 215

John:

4% ÷ 100 = 0.04

0.04 × 5500 = 220

End of 6 years:

George: 215 × 6 = 1290

John: 220 × 6 = 1320

John has earned the most interest at the end of 6yrs. $1320

Answer:

Hey there!

x+y=11

xy=24

The numbers are 8 and 3.

8 times 3 = 24

8+3=11

Hope this helps :)

Answer: 3 and  8

Step-by-step explanation:

Answer:

220

Step-by-step explanation: You just do inverse operation 55x4=220, check 220/4=55.

Answer:

x=220

Step-by-step explanation:

x /4 =55

Step 1: Multiply both sides by 4.

x/ 4  =55 ( x 4 )*(4)=(55)*(4)

x=220