There are 12 boys and 10 girls in David's class.
David is going to pick three different students from his class and write their names in a
list in order
The order will be
or
girl
boy
girl
boy
boy
girl
(b) How many different lists can David write?

To describe the temperatures for the week, we can apply the following statistical tools:

a) Find the mean, median, mode, and range.

c) Construct a line graph.

d) Construct a stem and leaf plot.

We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).

The mean temperature is the average, which shows the overall trend in temperature changes.  It is computed by adding up the temperatures for the period and diving by the number of data values.

In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.

We can estimate the difference between the highest and lowest temperature for the week with the range.

A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.

Thus, we can use Options A, C, and D to describe the temperature.

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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)

Mon - 65°

Tues - 67°

Wed - 66°

Thur - 70°

Fri - 72°

Sat - 68°

Sun - 69°

a) Find the mean, median, mode, and range.

b) Survey people about the weather.

c) Construct a line graph.

d) Construct a stem-and-leaf plot.

Answer:

x = 10 and y is 10 times the square root of 2

Step-by-step explanation:

45 45 90 triangle

x x x times square root of 2

10 10 and 10 times square root of 2

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

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The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

The last one.

Step-by-step explanation:

You're means you are. The sentence: I think you are graduation is a big accomplishment.​, doesn't make any sense. Good luck!

Answer:

I think you’re graduation is a big accomplishment.

Step-by-step explanation:

''you're'' is an exemple of ''you are'' and thta dosnt make scense when u put it together, I think you are graduation is a big accomplisment.. it dosnt make any scense.

Answer:

it depends on how old the child is but theoretically yes because what if the child was ten the parent would be very young but would be thirty.

Step-by-step explanation:

Answer:

The point on the Y goes at the end of the equation. The dimensions of the point on the Y is the slope. So Y=2/3x+6

Step-by-step explanation:

Hope this helps! :)

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

Angle FCM is supplementary to angle ACM

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees

The ratio of the radius of Circle A to the radius of Circle B is given as follows:

0.6.

The radius of a circle represents the distance between the circle of the center to any point on the circumference of the circle.

From the circles given on the image presented at the end of the answer, the radius of each circle is given as follows:

Hence the ratio of the radius of circle A to the radius of circle B is calculated as follows:

rA/rB

Replacing the numeric values for each radius, the ratio is calculated as follows:

3/5 = 0.6.

The circles are given by the image presented at the end of the answer.

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Answer: Quadrilateral

Step-by-step explanation:

hexagon: 6 sides

octagon: 8 sides

quadrilateral: 4 sides

triangle: 3 sides

The quadrilateral is the only one that makes sense.

Answer:

a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

Answer:

an exponent is how many times you multiply a number by itself.

Step-by-step explanation:

For example, if there is a 4 with a 3 as an exponent, you would solve 4x4x4, also known as 4 cubed. or if there was a 2 with a 4 as an exponent , you would do 2x2x2x2. Hope this helps :)

This is the final static variable for all instances.

That makes the behaviour much more obvious. Modern IDEs will usually suggest changing the second listing into the third.

There is no reason to have an inline declaration initializing the value like the following, as each instance will have its own NUMBER but always with the same value. This is the same than to have only one final static variable for all instances.

The static keyword means the value is the same for every instance of the class. The final keyword means once the variable is assigned a value it can never be changed. The combination of static final in Java is how to create a constant value.

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Answer:

3 + 14 + 8

Step-by-step explanation:

7a=21

a=21

The equation of the parabola that goes through the three points is:

y = 3x² + 14x + 8

The points are given as:

(-5,13), (0,8), (2,48)

To find the equation of the parabola that goes through the given three points (-5,13), (0,8), and (2,48) using quadratic regression, we need to fit a quadratic equation of the form y = ax² + bx + c to these data points.

Using the three points, we can set up a system of equations:

13 = a(-5)² + b(-5) + c

8 = a(0)² + b(0) + c

48 = a(2)² + b(2) + c

Simplifying these equations, we have:

25a - 5b + c = 13

c = 8

4a + 2b + c = 48

Solving this system of equations, we find that a = 3 and b = 14, and c = 8.

Therefore, the equation of the parabola that goes through the three points is:

y = 3x² + 14x + 8

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Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

Answer:

Step-by-step explanation:

The answer is C

Answer:

$1.65

Step-by-step explanation:

Given that:

Batch mixture :

Cinnamon - 200 ounces

Nutmeg - 100 ounces

Cloves - 100 ounces

Cost of Seasoning mix :

Cinnamon - 1.80 per ounce

Nutmeg - 1.60 per ounce

Cloves - 1.40 per ounce

Price per ounce of mixture :

Let the price per ounce of mixture = x

Total ounce of mixture = (100 + 100 + 200) = 400 ounces

Σ(ounce * cost) = total ounce * cost of mixture

(200*1.80)+(100*1.60)+(100*1.40) = 400 * x

$360 * $160 * $140 = 400x

$660 = 400x

x = $660 / 400

x = $1.65

Price per ounce of mixture = $1.65

9514 1404 393

Answer:

  63

Step-by-step explanation:

We observe that multiply the smaller number in the ratio by 7 we get 35. Then the ratio is ...

  5 : 9 = 35 : 63 . . . . . . multiply both numbers by 7

The larger number is 63.

Answer:

Take a look of the image below, we can think on this problem as a problem of two triangle rectangles.

We can see that both triangles share the adjacent cathetus, then the height of the flagpole is just the difference between the opposite cathetus.

Remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

So, if we define H as the height of the cliff

X as the distance between the observer and the cliff

and h as the height of the flagopole

we can write:

tan(40°) = H/X

tan(45°) = (H + h)/X

Notice that we have two equations and 3 variables (we should have the same number of equations than variables) then here is missing information, and we can't get an exact solution for the height of the flagpole.

But we can write it in terms of the height of the cliff H, or in terms of the distance between the observer and the cliff.

We want to find the value of h.

If we take the quotient between both equations, we get:

Tan(45°)/Tan(40°) = (H + h)/H

1.192 = (H + h)/H

1.192*H = H + h

1.192*H - H = h

0.192*H = h

So the height of the flagpole is 0.192 times the height of the cliff.

The postulate that proves the congruence of these triangles is given as follows:

c. SAS.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

For this problem, we have that the side lengths of 3 and 7 are congruent, as is the angle of 48º between them, hence the SAS congruence theorem is used.

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Step-by-step explanation:

Answer:

There are 4 or 8 faces glued together.( it depends how you count

Step-by-step explanation:

if you take a look at the figure you see it consis of a rectangle with for cubs stcked up on one of the ends. This means the glue is in between the four cubs in the base and the stacked cubes. this means there are eight faces that have been attached since each cube is glued by one of their faces.

Answer:

Option 2

Step-by-step explanation:

The wording of this question is very odd, but I guess the answer would literally just be the second option. It says "this 2D shape" with the rectangle being there, and I mean if you sliced it vertically I suppose it'd turn out that way, depending on the perspective.

Weird question tho man

brainliest would be epic

Step-by-step explanation:

ImtypingasfastasIcanbecauseImnotusingspace

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2