Find the value of x and y.

Answer:

27q + 24

Step-by-step explanation:

4(5q + 6) + 7q

= 20q + 24 + 7q

= 27q + 24

So, the answer is 27q + 24

x = 117 degrees

This problem makes use of the Remote Exterior Angles and Supplementary Angles.  First, use supplementary angles to determine That the bottom right angle of the triangle is 79 degrees.  Remote Exterior Angles states that a remote exterior angle is equal to the sum of both remote interior angles.  Thus, x = 79 + 38, or x = 117

Hope it helps <3

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Answer: 45 i think

Step-by-step explanation:  cause if you divide it it is 45 sorry if im wrong

Answer:

hope it helped have a good day mate

Answer:

1. Given

2. Distributive Prop

3. Addition Prop

4. Division Prop

Step-by-step explanation:

Answer:

1. $1.15 a jar, 2. 11% 3. 15 to 12

Step-by-step explanation:

Answer:

15 is 20% of 75. And 15:12.

Step-by-step explanation:

Emily had 75 buttons. She gave 15 buttons to Jake. What percent of the buttons did Emily give to Jake?

She gave 15 out of her 75 buttons, so we have to figure out what percentage of buttons did she give to Jake. 20 times 5 = 100 and 5 times 15 = 75, so that is how we end up with the answer- 15 is 20% of 75.

Kelly has 15 blue bracelets and 12 green bracelets What is the ratio of Kelly's blue bracelets to green bracelets?

When you are doing ratios, all you have to do is put the two numbers in ratio form, such as 15:12.

Answer:

y = (-1/2)x + 4

Step-by-step explanation:

Slope (m): (-1/2)

down one, right two

y-intercept (b): 4

y = mx + b

The slope-intercept equation if the line is \(y=-\frac{1}{2}x+4\)

To find the slope, you must put the 2 points into the slope equation.

\(\frac{3-4}{2-0}=\frac{-1}{2}\)

And to find the y-intercept, you must find where the line crosses the y-axis.

(0,4)

Step-by-step explanation:

58 +38 = 96 degree

so we do 180 - 96 = 84 degree valur of x for one triangle

so opposite side angke x will be 96

so again we do 96 +15 = 111 degree

180 - 111 = 69 degree

Answer:

Th answer is C u got it right

Step-by-step explanation:

 By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively

To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.

1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.

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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.

Test the hypothesis step of the scientific method is he performing.

Making conjectures (hypothetical explanations) is a step in the scientific method. Predictions are then derived from the hypotheses as logical conclusions, and experiments or actual observations are conducted based on those predictions.

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

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Cutting 6-inch squares from each corner of a 20x12-inch tin sheet creates an open box with dimensions 8x0x6 inches.

By cutting 6-inch squares from each corner of a 20x12-inch tin sheet, you can create an open box.

The box's dimensions will be 8x0x6 inches. The width of 0 inches indicates that the tray has no width, resembling a line segment.

The explanation involves finding the maximum volume by taking the derivative of the volume function and setting it to zero.

The critical points are obtained by solving the resulting cubic equation, which yields two possible values: x = 10 and x = 6.

However, since x cannot exceed half the width or length of the sheet, the smaller value, x = 6 inches, is chosen.

Thus, the tray dimensions are determined, and it can be visualized as an open box with a length of 8 inches, no width, and a height of 6 inches.

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Here are the differences between a square and a rhombus.

Square. Its properties are

(a) All sides are equal.

(b) Opposite sides are equal and parallel.

(c) All angles are equal to 90 degrees.

(d) The diagonals are equal.

(e) Diagonals bisect each other at right angles.

(f) Diagonals bisect the angles.

(g) The intersection of the diagonals is the circumcentre. That is, you can draw a circle with that as centre to pass through the four corners.

(h) The intersection of the diagonals is also the incentre. That is, you can draw a circle with that as centre to touch all the four sides.

(i) Any two adjacent angles add up to 180 degrees.

(j) Each diagonal divides the square into two congruent isosceles right-angled triangles.

(k) The sum of the four exterior angles is 4 right angles.

(l) The sum of the four interior angles is 4 right angles.

(m) Lines joining the mid points of the sides of a square in an order form another square of area half that of the original square.

(n) If through the point of intersection of the two diagonals you draw lines parallel to the sides, you get 4 congruent squares each of whose area will be one-fourth that of the original square.

(o) Join the quarter points of a diagonal to the vertices on either side of the diagonal and you get a rhombus of half the area of the original square.

(p) Revolve a square about one side as the axis of rotation and you get a cylinder whose diameter is twice the height.

(q) Revolve a square about a line joining the midpoints of opposite sides as the axis of rotation and you get a cylinder whose diameter is the same as the height.

(r) Revolve a square about a diagonal as the axis of rotation and you get a double cone attached to the base whose maximum diameter is the same as the height of the double cone.

Rhombus. Its properties are

(a) All sides are equal.

(b) Opposite sides are parallel.

(c) Opposite angles are equal.

(d) Diagonals bisect each other at right angles.

(e) Diagonals bisect the angles.

(f) Any two adjacent angles add up to 180 degrees.

(g) The sum of the four exterior angles is 4 right angles.

(h) The sum of the four interior angles is 4 right angles.

(i) The two diagonals form four congruent right angled triangles.

(j) Join the mid-points of the sides in order and you get a rectangle.

(k) Join the mid-points of the half the diagonals in order and you get a rhombus.

(l) The distance of the point of intersection of the two diagonals to the mid point of the sides will be the radius of the circumscribing of each of the 4 right-angled triangles.

(m) The area of the rhombus is a product of the lengths of the 2 diagonals divided by 2.

(n) The lines joining the midpoints of the 4 sides in order, will form a rectangle whose length and width will be half that of the main diagonals. The area of this rectangle will be one-half that of the rhombus.

(o) If through the point of intersection of the two diagonals you draw lines parallel to the sides, you get 4 congruent rhombus each of whose area will be one-fourth that of the original rhombus.

(p) There can be no circumscribing circle around a rhombus.

(q) There can be no inscribed circle within a rhombus.

(r) Two congruent equilateral triangles are formed if the shorter diagonal is equal to one of the sides.

(s) Two congruent isosceles acute triangles are formed when cut along the shorter diagonal.

(t) Two congruent isosceles obtuse triangles are formed when cut along the longer diagonal.

(u) Four congruent RATs are formed when cut along both the diagonals. These RATs cannot be isosceles RATs.

(v) Join the quarter points of both the diagonals and you get a similar rhombus of 1/4th area as the parent rhombus.

(w) Revolve a rhombus about any side as the axis of rotation and you get a cylindrical surface with a convex cone at one end a concave cone at the other end. Their slant heights will be the same as the cylindrical sides of the solid.

(x) Revolve a rhombus about a line joining the midpoints of opposite sides as the axis of rotation and you get a cylindrical surface with concave cones at the both ends.

(y) Revolve a rhombus about the longer diagonal as the axis of rotation and you get a solid with two cones attached at their bases. The maximum diameter of the solid will be the same as the shorter diagonal of the rhombus.

(z) Revolve a rhombus about the shorter diagonal as the axis of rotation and you get a solid with two cones attached at their bases. The maximum diameter of the solid will be the same as the longer diagonal of the rhombus.

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Dr. Howard's sample does vary from the general population, as the average grade in his classes is higher than the overall average grade.

Based on the information provided, it appears that Dr. Howard's sample has a higher average grade than the general population. The average grade on a statistics final exam for the general population is 85, while in Dr. Howard's classes, the average grade is 93. This suggests that Dr. Howard's students performed better on the final exam than the average statistics student. However, without additional information about the sample size or characteristics of Dr. Howard's students, it is difficult to draw definitive conclusions about the variation between the sample and the general population.
Dr. Howard's sample varies from the general population. Here's a step-by-step explanation:

1. The average grade of the general population on the statistics final exam is 85.
2. In Dr. Howard's classes, the average grade is 93.
3. Compare the two averages: 93 (Dr. Howard's classes) vs. 85 (general population).
4. Since 93 is higher than 85, it indicates that Dr. Howard's sample (his classes) has a higher average grade than the general population.

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The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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In the ΔBCA the value of θ i.e. ∠CAB is approximately 66.7 degrees.

Trigonometric ratios are mathematical formulas that link the angles and side lengths of a right triangle.

The hypotenuse, the other side, and the adjacent side make up a right triangle's three sides.

We can use the trigonometric ratios of the angles in a right triangle to solve for the value of θ.

In this triangle, we know that BC is the hypotenuse, CA is the base, and ∠BCA is a right angle. Therefore, we can use the tangent ratio to find the value of θ:

tan(θ) = opposite/adjacent = BA/CA

We use Pythagorean theorem to find length of BA:

BC² = BA² + CA²

11.9² = BA² + 10²

141.61 = BA² + 100

BA² = 41.61

BA = √41.61

Now we can substitute the values into the tangent ratio and solve for θ:

tan(θ) = BA/CA = √41.61/10

θ = tan⁻¹(√41.61/10)

Using a calculator, we get:

θ = 66.7 degrees

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The complete question is :-

find the value of θ in the given figure.

Answer:

\(\sqrt{170}\)

Step-by-step explanation:

(x2 - x1)^2 + (y2-y1)^2 = c^2

(6 - - 5)^2 + (-3 - 4)^2 = c^2

121 + 49 = c^2

170 = c^2

\(\sqrt{170}\) which is about 13.04

Answer:

5

Step-by-step explanation:

If two is subtracted from a number: let's give the number a name and call it  X . And this difference is tripled: so we get  3(X−2) . The result is 4 more than the number, so

3(X−2)=4+X .

We want to know  X  so we need to get it to one side of the equation. That's done by repeatedly doing the same operation on both sides of the equation. First get rid of the parentheses:

3X−6=4+X.  

Now subtract  X  and add  6 :

2X=10  

Divide by 2:

X=5

Answer:

x = 1

Step-by-step explanation:

The mathematical equation is 1-3x=2-4x

plz mark brainliest

Effective in reducing the mean number of binges per week, a rank-sum test should be conducted using the provided data. The resulting p-value will indicate whether there is a significant difference between the placebo and imipramine groups in terms of reducing binges.

To determine if imipramine is effective in reducing the mean number of binges per week, we can conduct a rank-sum test. The rank-sum test, also known as the Mann-Whitney U test, is a non-parametric test that compares the distributions of two groups.

First, we combine the data from both groups (placebo and imipramine) and rank the observations from smallest to largest, disregarding the group labels. Next, we sum the ranks for each group separately.

Using the rank-sum test, we calculate the U statistic, which represents the smaller of the two rank sums. We then compare the U statistic to critical values from a rank-sum table or use a statistical software to obtain the p-value.

By comparing the obtained p-value to the significance level of 0.05, we can determine if there is a significant difference between the two groups. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to suggest that imipramine is effective in reducing the mean number of binges per week.

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Answer:

See table below

Step-by-step explanation:

y=x^2-x

x -2  -1   0  1  2  3

y  ?   ?   ?  0  2  ?

completed table:

x   -2  -1  0  1  2  3

y   6    2 0  0  2  6

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer: 136.58 square yards

Step-by-step explanation:

Since the pyramid has an equal side lengths base, we can assume it's a square pyramid.

The formula for the surface area of a square pyramid is given by:

Surface area = base area + (0.5 × perimeter of base × slant height)

We need to find the base area and the slant height first.

Given that the side length of the base is 11.4 yards, the base area can be calculated as:

Base area = (side length)^2 = 11.4^2 = 129.96 square yards

To find the slant height, we need to use the Pythagorean theorem:

(0.5 × diagonal)^2 = (side length)^2 + (height)^2

where the diagonal is the hypotenuse of the base, which can be calculated as:

diagonal = sqrt(2) × side length = sqrt(2) × 11.4 = 16.1224 yards (rounded to 4 decimal places)

Now we can find the height of the pyramid:

(0.5 × diagonal)^2 = (side length)^2 + (height)^2

(0.5 × 16.1224)^2 = 11.4^2 + (height)^2

130.043 = 129.96 + (height)^2

(height)^2 = 0.0839

height = sqrt(0.0839) = 0.2895 yards (rounded to 4 decimal places)

Now we can calculate the surface area:

Surface area = base area + (0.5 × perimeter of base × slant height)

Surface area = 129.96 + (0.5 × 4 × 11.4 × 0.2895)

Surface area = 129.96 + 6.62364

Surface area = 136.58364 square yards (rounded to 2 decimal places)

Therefore, the surface area of the pyramid is approximately 136.58 square yards.

Answer:

5/6 is he answer there isn't any other way for it to be improper

hope this helps

have a good day :)

Step-by-step explanation:

The F ratio equals 4.8.

To calculate the F ratio, we need to divide the mean square for the between-group variability by the mean square for the within-group variability.

From the ANOVA summary table, we have the following information:

Between-group sum of squares (SS) = 36

Between-group degrees of freedom (df) = 3

Between-group mean square (MS) = SS/df = 36/3 = 12

Within-group SS = 110

Within-group df = 44

Within-group MS = SS/df = 110/44 = 2.5

To calculate the F ratio, we divide the between-group MS by the within-group MS:

= MS_between / MS_within = 12 / 2.5 = 4.8

The F ratio is used in hypothesis testing to determine whether there is a significant difference between the means of two or more groups.

A larger F ratio indicates that there is more variability between the group means relative to the variability within the groups, which suggests that there may be a significant difference between the groups.

The F ratio of 4.8 suggests that there may be a significant difference between the means of the groups.

The significance of this difference would depend on the level of alpha chosen and the resulting p-value from the hypothesis test.

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The correct answer is that the F ratio equals 4.8.

To calculate the F ratio, we divide the mean square (MS) of the between-group variation by the mean square of the within-group variation.

In the given ANOVA summary table, the relevant values are as follows:

Between-group sum of squares (SS) = 36

Between-group degrees of freedom (df) = 3

Between-group mean square (MS) = SS / df = 36 / 3 = 12

Within-group sum of squares (SS) = 110

Within-group degrees of freedom (df) = 44

Within-group mean square (MS) = SS / df = 110 / 44 = 2.5

The F ratio is calculated as F = MS_between / MS_within = 12 / 2.5 = 4.8.

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Answer:

797.50

Step-by-step explanation:

6* $120.50 = $723

$723 + $74.50 = $797.50

The dimensions of the closed cylinder that maximize its volume are radius=25 cm and height=40 cm. The maximum volume is 62,500 cubic cm.

Given that the total surface area of the closed cylinder is 5000 cm^2, we can write the equation for the total surface area as:

2πrh + 2πr^2 = 5000

We want to find the dimensions that maximize the volume of the cylinder. The volume of a cylinder is given by:

V = πr^2h

We can use the equation for the total surface area to solve for h in terms of r:

h = (5000 - 2πr^2) / (2πr)

Substituting this expression for h into the equation for the volume, we get:

V = πr^2[(5000 - 2πr^2) / (2πr)]

Simplifying this expression, we get:

V = (2500πr - πr^3)

To find the maximum volume, we take the derivative of V with respect to r and set it equal to zero:

dV/dr = 2500π - 3πr^2 = 0

Solving for r, we get r=25 cm.

We can then substitute this value of r into the expression for h to get h=40 cm.

Therefore, the dimensions of the cylinder that maximize its volume are radius=25 cm and height=40 cm.

Substituting these values into the equation for the volume, we get:

V = π(25)^2(40) = 62,500 cubic cm.

To verify that this is a maximum point, we can take the second derivative of V with respect to r:

d^2V/dr^2 = -6πr

At r=25 cm, this is negative, which indicates that we have a maximum point. Therefore, the dimensions calculated above do indeed maximize the volume of the cylinder.

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