A drama class has a total of 39 students. The number of males is 9 more than the number of females. How many males and how many females are in the class?

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer:

 =6mx^4−7x^4

Step-by-step explanation:

(6m−7)(x^4)

=(6m+−7)(x^4)

=(6m)(x^4)+(−7)(x^4)

\(\huge\text{Hey there!}\)

\(\mathsf{(6m - 7)\times4}\)

\(\mathsf{= (6m - 7)(4)}\)

\(\mathsf{= (6m - 7) 4}\)

\(\mathsf{= 4(6m - 7)}\)

\(\mathsf{= 4(6m) - 4(-7)}\)

\(\mathsf{= 6m(4) + (-7)(4)}\)

\(\mathsf{= 6m(4) - 7(4)}\)

\(\mathsf{= 6m - 28}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The equation that represents the cost of the van rental is $598.74 = 136.20 + $0.39m .

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

The general form of linear equations is:

y = a + bx

Where:

a = intercept

b = slope

The form of the equation that models the cost is:

Total cost = cost of renting the van + [cost per mile x (m - 120 miles)

$598.74 = $183 + [$0.39 x (m - 120)

$598.74 = $183 + $0.39m - 46.80

$598.74 = 136.20 + $0.39m

Thus, they travelled 1186 miles.

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70,000 should be your answer, since 5-10 will maker the coefficient plus 1. since the number in front of 6 is 5, 6 will be 7. so 70,000

Answer:

The Answer is 70000

Step-by-step explanation:

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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To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.

Point 1 = (0, -2)

Point 2 = (-2, 0)

Slope-Formula: (y2 - y1) / (x2 - x1)

Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.

(0 - - 2) / (-2 - 0)

(2) / (-2)

-1

The slope of the line is -1.

Hope this helps!! :)

Answer: -1

Step-by-step explanation:

-6/6= -1

Answer:

6

Step-by-step explanation:

10-4 is 6 and they are on the same x axis

Answer:

x=11

Step-by-step explanation:

7+4=11

4+7=11

11-7=4

11-4=7

Brainliest please?

                         XxRoadToAcexX

The given coordinates (3,2) & (-3,-6) which satisfy the equation is the inequality of the given graph

A)

So,

Answer:

The slope of problem 11 is

\( - \frac{2}{5} \)

The slope of problem 10 is

\( 4\)

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Answer:

1. False

2. Not sure

3. True

Statement A

A = bh/2

34 = (10)h/2

68/10 = h

h = 6.8

FALSE The actual height of the triangle is the hypotenuse of the fake outer triangle. 6.8 is not used to calculate the area.

Statement B

A = (d1 + d2)/2

56 = (d1 + d2)/2

112 = d1 + d2

I have no idea for this one. There is no way that I know of to verify the area if I don't have at least one diagonal.  

Statement C

A = (a + b)(h)/2

24 = (7 + 9)(3)/2

48 = (7 + 9)(3)

16 = 7 + 9

16 = 16

TRUE Area of the trapezoid = 24 in².

Answer:

m∠t = 143°

m∠x = m∠t

i'm just ordinary human, CMIIW

The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.

To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:

Probability = possible outcome/ sample space

Where possible outcome = 2

sample space = A,B,B,B,C,C,D,D,D,E = 10

Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.

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Answer:

x=-4 is true, x=6 is not

Step-by-step explanation:

5x + 7 < 22

Plug in our X values

5(-4) + 7 < 22 ?

solve

-20 + 7 < 22

-13 < 22 ?

x=-4 is true.

Repeat steps from ^

5(6) + 7 < 22

30 + 7 < 22

37 < 22 ?

x=6 is not true.

Hope this helped

Answer:

False

Step-by-step explanation:

5(-4) + 7 < 22

-20 + 7 < 22

-14 < 22

5(6) + 7 < 22

30 + 7 < 22

37 < 22

The statement would be false because when applying 6 to the equation, the equation becomes false.

On the other hand, when applying -4 to the equation, the equation becomes true, but since both -4 and 6 HAVE to be BOTH solutions to the equation, the statement becomes false.

Answer:

Volume of regular pyramid = 156 ft²

Step-by-step explanation:

Given:

Area of regular pyramid = 36 ft²

Height of regular pyramid = 13 ft

Find:

Volume of regular pyramid

Computation:

Volume of regular pyramid = [1/3][b][h]

Volume of regular pyramid = [1/3][36][13]

Volume of regular pyramid = [12][13]

Volume of regular pyramid = 156 ft²

Answer:

no

Step-by-step explanation:

Try doing cross multiplication 5/7 = 30/35,

7x30=5x35

210=175

those don't match so no the answer is no

(Just because I'm a high schooler doesn't mean that I'm not capable of doing this)

Answer:no they aren’t

Step-by-step explanation:although

25/35 are equivalent

We can see that when the value of 82° is changed to 94°, the mean is the measurement that changes the greatest. 82.3° is the new average temperature.

The study of statistics focuses on gathering, organising, organising, analysing, interpreting, and presenting data.

The actions taken prior to the shift are:

IQR = 105 - 61 = 44°

Range = 105 - 57 = 48°

Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 81.4°

Median = the middle value, which is 84°

After the change, the list becomes:

58, 61, 71, 77, 91, 100, 105, 102, 95, 94, 66, 57

IQR = 102 - 61 = 41°

Range = 105 - 57 = 48°

Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 94 + 66 + 57) / 12 = 82.3°

Median = the middle value, which is still 84°

Hence, we can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°

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We can see that the mean is the measure that changes the most when the value of 82° is changed to 94°. The new average temperature is 82.3°.

The primary areas of study in statistics include data collection, organization, organization, evaluation, interpretation, and presentation.

Before the shift, the following actions are taken:

IQR = 105 - 61 = 44°

Range = 105 - 57 = 48°

Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 81.4°

Median = the average temperature, which is 84°

The list changes after the modification to:

58, 61, 71, 77, 91, 100, 105, 102, 95, 94, 66, 57

IQR = 102 - 61 = 41°

Range = 105 - 57 = 48°

Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 94 + 66 + 57) / 12 = 82.3°

Median = the average temperature, which remains 84°

Therefore, it is clear that when the value of 82° is changed to 94°, the mean is the measurement that changes the greatest. 82.3° is the new average temperature.

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The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Step-by-step explanation:

50°+ 30° = 80° The value of x

Reason is The sum of interior angle is equal to the exterior one.

Answer:

8

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors!

Hope this helped!! <3

a) The percentage of data items in a normal distribution that lie below a z score of 2.6 is 99.53%

b) The percentage of data items in a normal distribution that lie above a z score of 2.6 is 0.47%

We have to given that;

Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a​ z-score of 2.6.

We have to simplify as;

a) The percentage of data items in a normal distribution that lie below a z score of 2.6 is,

P(z = 2.6) = 99.53%

b) The percentage of data items in a normal distribution that lie above a z score of 2.6 is,

= 1 - P(z = 2.6)

= 1 - 0.9953

= 0.0047

= 0.47 %

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The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

From the question, we have the following parameters that can be used in our computation:

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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Answer:

12^2+12^2=c^2

Step-by-step explanation:

12x12=144 + 12x12=144=c^2

288=c^2

find the square root of 288

19.97=c 20=c

Answer:

Yes, triangle GYK is similar to triangle BAK.

Step-by-step explanation:

The sides of each triangle are proportional to each other.

Take the longest side of each triangle. You are comparing line AK with line KY.

The proportion is 15/25.

Now, take the shortest side of each triangle. You are comparing line KB with GK.

The proportion is 6/10.

To determine if the triangles are proportional, we can see if the two proportions are equal to each other:

15/20=6/10

3/5=6/10

Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.

Hope this helps :)

Answer:

O  Yes!

Step-by-step explanation:

We would check whether the proportionality of their sides is equal

Taking proportionality

= \(\frac{6}{10} = \frac{15}{25}\)

Cross Multiplying

6 × 25 = 15 × 10

150 = 150

So, ΔABK is similar to ΔGKY

The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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The 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.

A z-score calculates how many standard deviations an observation is from the mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative.

For the 3-year-old boy, the z-score is:

z = (43 - 38) / 2 = 2.5

The z-score for the 10-year-old girl is:

z = (57 - 54.5) / 2.5 = 1

The 3-year-old boy has a higher z-score than the 10-year-old girl, indicating that he is more unusually tall for his age and gender. This is due to his height, which is higher than the average for his age group 38 inches .

Therefore, the 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.

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Answer: I think that this is the answer

standard form of equation for ellipse with vertical major axis (a^2 under y^2):

(x-h)^2/b^2+(y-k)^2/a^2=1,a>b, (h,k) being the (x,y) coordinates of the center.

For given equation: x^2/9+y^2/36=1

center: (0,0)

a^2=36

a=√36=6

length of vertical major axis=2a=12

Vertices are end points of major axis=(0,0�a)=(0,0�6)=(0,-6) and (0,6)

Vertices are at (0,-6) and (0,6)

Step-by-step explanation:

Answer:

Explanation: General formula for vertical ellipse Given: x24+y29=1 ... Use the equation provided above, and "plug it" in.