what is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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The answer is A which is 30. :D

Answer:

30

Step-by-step explanation:

2x + x - 10 = 80

3x - 10 = 80

3x (- 10 + 10)= 80 + 10

3x = 90

3x/3 = 90/3

x = 30

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

The experimental probability of the rolling a 6 is 13%.

Probability is the likelihood of a desired event happening. Experimental probability is a probability that relies mainly on a series of experiments.

From the table:

The total number of times all the numbers appear is:

total number of times = 7 + 4 + 4 +  5 + 6 + 4 = 30

The number six (6) occurred 4 times.

Experimental probability = (occurrence of 6 / total number of times)

Experimental probability = 4/30 * 100

Experimental probability = 13%

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Answer: D = √2

(please respond if im wrong)

Step-by-step explanation:

The fold is made along BE. A folds onto A′.

A′B = AB =√2 ⇒ A′C = 1

(by Pythagoras)

ΔA′BC

is therefore a right-angled isosceles triangle.

⇒∠BA′C=45∘ ⇒∠EA′D=45∘

⇒ ED = A′D = √2−1

Answer:

Y = 21 when x=18

X varies 3 numbers subtracted from Y so now it comes as x= 18 then y is plus 3 the the number shown on x which is 18+3 then you get 21.

We can form 15 different 4-digit numbers using the digits 1, 2, 3, 7, 8, and 9, without repetition. Out of these, 30 are even numbers. We used the concept of combination to find these numbers.

Combination is a mathematical technique used to calculate the number of ways in which a group of objects can be selected from a larger set, without considering their order.

We can use the combination formula to find the total number of possible combinations:

C(4, 3) = 4! / (3! * 1!) = 4

This means that we can form four different 3-digit numbers using the digits 1, 2, 3, and 4, without repetition.

Now, coming back to our original problem, we need to form 4-digit numbers using the digits 1, 2, 3, 7, 8, and 9, without repetition. Using the same combination formula, we can find the total number of possible combinations:

C(6, 4) = 6! / (4! * 2!) = 15

This means that we can form a total of 15 different 4-digit numbers using the given digits.

Next, we need to find out how many of these numbers are even. An even number is a number that is divisible by 2, and in our case, this means that the last digit of the number must be either 2, 8, or a combination of 1 and 7.

To find the number of even 4-digit numbers, we can use the same combination formula, but this time we have to consider only 3 digits (2, 8, and a combination of 1 and 7) for the last digit:

C(3, 1) * C(5, 3) = 3 * 10 = 30

This means that we can form a total of 30 different 4-digit even numbers using the given digits.

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Answer:

c

Step-by-step explanation:

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

Answer:  geometric series

Step-by-step explanation:

If it is arithmetic, the difference from each term to the next will always be the same.

4096 - 1024 = 3072; 1024 - 256 = 768

3072 ≠ 768. so not arithmetic

If it is geometric, the ratio of each term to the next will always be the same.

4096/1024 = 4

1024/256 = 4

256/64 = 4

64/16 = 4

This is a geometric series. Each term (after the first) is (1/4) of the term before.

Hope this helps.

Answer:

see explanation

Step-by-step explanation:

vertical angles are angles on the opposite side at a vertex of 2 lines.

1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles

supplementary angles sum to 180°

adjacent angles on a straight line sum to 180°

1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.

The corresponding areas under the curves for y = 2x-x² in the interval [1, 2] and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit²

Given:

1. y = 2x-x² in the interval [1, 2]

2. y = x³-6x²+8x in the interval [0, 4]

In order to find  the area under the curve for these functions for the given intervals, we will take the integral of the functions and use the intervals as upper and lower limits: Thus:

y = 2x-x² in the interval [1, 2]  will be:

\(\int\limits^2_1 {2x-x^{2} } \, dx = \left[\frac{ 2x^2}{2}-\frac{ x^3}{3}\right]_1^2\)

                   \(= \left[x^{2} -\frac{ x^3}{3}\right]_1^2\)

Substitute the value of the upper and lower limits into x:

               =  [2²- 2³/3] - [1²- 1³/3]

              =   [4 - 8/3] - [ 1 - 1/3]

              =   [4/3] - [2/3]

              = 2/3 unit²

y = x³-6x²+8x in the interval [0, 4] will be:

 \(\int\limits^4_0 {x^{3} -6x^{2} + 8x } \, dx = \left[\frac{ x^4}{4}-\frac{ 6x^3}{3}+\frac{ 8x^2}{2}\right]_0^4\)

                               \(= \left[\frac{ x^4}{4}- 2x^3+4x^2\right]_0^4\)

                              = [4⁴/4 - 2(4)³ + 4(4)²] - [0⁴/4 - 2(0)³ + 4(0)²]

                              =  [ 64 - 128 + 64] - [0 - 0 -0]

                              = 0 unit²

Therefore, the areas under the curves y = 2x-x² in the interval [1, 2]

and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit² respectively

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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Hey There!! ~

The answer to this is: the upper bound for the length is \(21.5cm.\) Lower and Upper Bounds

The lower bound is the smallest value that will round up to the approximate value.

The upper bound is the smallest value that will round up to the next approximate value.

Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.

Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:

As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :

⇒  \(21.5cm.\)

21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is \(21.5cm.\)

Hope It Helped!~

\(ItsNobody\)~

Answer:

3/4 or 0.75

Step-by-step explanation:

✿————✦————✿

Answer: D

✿————✦————✿

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

A child can receive 0.5 kg /ml of drug.

What is density?

It is the quantity of a substance per unit volume. A   quantity of mass is divided by volume, and we get a density of a particular substance.

A 66 lb. child can receive 1 meq/ kg of drug.

but the drug is available in 2 meq/ 4ml.

we need to divide kg by ml to estimate how much quantity is suitable.

From the standard unit, if we divide the quantity in kg by the quantity in ml we achieve a density of drug.

(1 meq / kg) / (2 meq/ 4ml) = 2 ml / kg

the above value is inversed, and we get a density.

the density of drug = 0.5 kg / ml

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Not the Answer:

A: -6

D: -10

Step-by-step explanation:

Cant really see the negative sign that well so sorry if I got the number wrong. but these answers are less or equal to -5, so choose anything but these answers

the original fraction would be 4:5 divided by 2 and 1 making the answer clear and then what you do is take your answer multiplying it by the improper fraction and subtracting it by the mixed and the others that you should know and then you get your real answer.

Have a good day!

It might seem confusing but it is actually correct, how do i know?

 i´m a math prodigy.

Answer: 18

-3m + 3(m + 6)

= -3m + 3m + 18

= 18

Step-by-step explanation:

Simple interest is the cost of borrowing money without accounting for the effects of compounding.12672 is the size of Kathleen’s total interest when she retires.

Simple interest is the cost of borrowing money without accounting for the effects of compounding.

Given that Kathleen begins working and at age 32 she invests $6000.00 into a retirement account that pays an APR of 6.4% compounded monthly. She expects to retire at age 65.

Let us calculate the age or time

65-32 =33 years

A=P(1+rt)

A= Final Amount

P=Principle amount=6000

r = rate of interest=6.4%

t is time =33 years

Substitute these values in Formula.

Convert 6.4% to decimal number by dividing with 100.

A=6000(1+0.064(33))

A=6000(1+2.112)

A=6000(3.112)

A=18672

The final Amount she got is 18,672.

To find the interest amount we have to substitute initial amount from final amount.

18672-6000

=12672

Hence 12672 is the size of Kathleen’s total interest when she retires.

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Answer:

12.3 = y

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 35 = y/15

15 cos 35 = y

12.28728066 = y

To the nearest tenth

12.3 = y

Answer: 34,650 permutations

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

The equation for Beth is: 9x + 10y = 297, that is, option B.

The equation for Sarah is: 8x + 5y = 194, that is, option A.

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

In the question, we are asked to identify the equations that represent the boxes of candy Beth and Sarah are selling, using x for the number of small boxes of candy and y for the number of large boxes of candy, from the given information.

For Beth:

We are informed that Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297.

As x is used for the number of small boxes of candy, we get a term 9x for the selling of 9 small boxes, and as y is used for the number of large boxes of candy, we get a term 10y for the  selling of 10 large boxes of candy.

The addition of these terms needs to make up 297, as the total selling amount is 297.

Thus, the equation for Beth is: 9x + 10y = 297, that is, option B.

For Sarah:

We are informed that Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194.

As x is used for the number of small boxes of candy, we get a term 8x for the selling of 8 small boxes, and as y is used for the number of large boxes of candy, we get a term 5y for the  selling of 5 large boxes of candy.

The addition of these terms needs to make up 194, as the total selling amount is 194.

Thus, the equation for Sarah is: 8x + 5y = 194, that is, option A.

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The derivative of a function f(x) is defined as the limit,

\(f'(x):=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h\)

With f(x) = x⁶, we have

\(f'(x)=\displaystyle\lim_{h\to0}\frac{(x+h)^6-x^6}h\)

Expand f(x + h) in the numerator:

(x + h)⁶ = x⁶ + 6x⁵h + 15x⁴h² + 20x³h³ + 15x²h⁴ + 6xh⁵ + h⁶

so that the x⁶ terms cancel, leaving us with

\(f'(x)=\displaystyle\lim_{h\to0}\frac{6x^5h+15x^4h^2+20x^3h^3+15x^2h^4+6xh^5+h^6}h\)

h is approaching 0, so h ≠ 0 and we can cancel the common factor in the numerator and denominator:

\(f'(x)=\displaystyle\lim_{h\to0}\left(6x^5+15x^4h+20x^3h^2+15x^2h^3+6xh^4+h^5\right)\)

Now as h converges to 0, each term containing h vanishes, leaving us with

f'(x) = 6x⁵

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation: