If two adjacent angles of a parallelogram are (5x-5) and (10x+35),then find the ratio of these angle’s

Answer: the square root of 25 is 5

and also it’s an app called Desmos that finds the square root for you !

To test for differences in full IQ score across the 3 exposure groups, we can use both parametric and non-parametric tests.  Based on the overall test results, if there is sufficient evidence to reject the null hypothesis (p < 0.05), we can perform further pairwise testing between the means.

a) To test for differences in full IQ score across the 3 exposure groups, we can use both parametric and non-parametric tests.

Parametric test (ANOVA):
- Null hypothesis (H0): There are no differences in full IQ score across the 3 exposure groups.
- Alternative hypothesis (Ha): There are differences in full IQ score across the 3 exposure groups.
- Test statistic: F statistic
- P-value: Report the p-value obtained from the ANOVA test.

Non-parametric test:
- Null hypothesis (H0): There are no differences in full IQ score across the 3 exposure groups.
- Alternative hypothesis (Ha): There are differences in full IQ score across the 3 exposure groups.
- Test statistic: Kruskal-Wallis statistic
- P-value: Report the p-value obtained from the Kruskal-Wallis test.

b) To assess the distribution of full IQ scores, we can compare the results of the parametric and non-parametric tests. The test that provides more valid results depends on the assumptions of normality and homogeneity of variances. If the assumptions are met, the parametric test (ANOVA) is more valid. If the assumptions are violated, the non-parametric test (Kruskal-Wallis) is more valid.

c) Based on the overall test results, if there is sufficient evidence to reject the null hypothesis (p < 0.05), we can perform further pairwise testing between the means. Otherwise, if there is not enough evidence to reject the null hypothesis, further pairwise testing is not justified. In either case, the decision should be explained based on the p-value obtained from the overall test.

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The direct distance that the plane will travel from its current location to the landing location on the island can be calculated using trigonometric principles. Given the altitude and the angle of depression, the horizontal distance can be determined.

To calculate the direct distance traveled by the plane, we can use the tangent of the angle of depression. The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. In this case, the opposite side represents the altitude of the plane (8700 ft), and the adjacent side represents the horizontal distance traveled.

By applying trigonometry, we can use the formula tan(angle) = opposite/adjacent to find the horizontal distance. Rearranging the formula, we get adjacent = opposite / tan(angle). Plugging in the values, we have adjacent = 8700 ft / tan(21°).

Using a calculator or reference table, we can find the tangent of 21°, and then calculate the adjacent side, which represents the direct distance traveled by the plane from its current location to the landing location on the island.

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Maria gets 1/12 of the chips.

Lilly has 1/3 of chips. She gives Maria 1/4 of what she has to Maria. To find the fraction that Maria gets, we need to multiply the fraction Lilly gives to Maria (1/4) by the fraction of chips Lilly has (1/3).

Multiplying fractions involves multiplying the numerators and multiplying the denominators. So, multiplying 1/4 and 1/3 gives us (1 * 1) / (4 * 3), which simplifies to 1/12.

Therefore, Maria gets 1/12 of the chips.

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The median height of the boys aged 13 years is 160 cm.

option D.

From the given equation of line of best fit, the median height of the boys aged 13 years is calculated as follows;

The given equation for line of best fit is;

y = 6.5x + 75.5

where;

when x = 13 years, the value of y, median height, is calculated as follows;

y = 6.5 (13) + 75.5

y = 160 cm

Thus, the median height of the boys aged 13 years is determined by applying the given equation for line of best fit,

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Answer: 1,914

Step-by-step explanation:

first we take down the information given to us

For 92% confidence, z = 1.75

Error of margin  E = 2% = 0.02

Since no estimate of population proportion has been given, we will assume:

p = q = 0.50

Hence,  

Sample size required n

n = ( z/E)² × p × q

n = ( 1.75/0.02)² × 0.5 × 0.5

n = (87.5)² × 0.5 ×0.5

n =  1914

Hope you could get an idea from here.

Doubt clarification - use comment section

The x-intercept of the given graph of the function is (10,0) while the y-intercept is (0,15).

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given equation,

y = (-3/2)x + 15

At y-intercept,

x = 0 so, y = 0 + 15 = 15 thus, (0,15)

At x-intercept

y = 0

0 = (-3/2)x + 15

x = 10 thus, (10,0)

Hence "The x-intercept of the given graph of the function is (10,0) while the y-intercept is (0,15)".

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For the complete question and graph image attached below,

True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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Answer:

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Step-by-step explanation:

As, this question is incomplete, so we will create similar question and complete it. '

Let's suppose Brielle's room has following dimensions:

Length of two walls =  10 ft

Length of other two walls = 12 ft

Height of the room from bottom to ceiling = 10 ft

In order to calculate the amount of paint needed, we need to calculate the surface area of the room to be painted.

So, for that, add all the lengths together and multiply it by height of the room.

SF = (L1 +L2 +L3+ L4) x H

SF = (10 + 10 + 12 + 12) x (10)

SF = 440 sq.ft = Actual footage of the room to be painted.

Now, we have convert this number in gallons to know the amount of paint required to paint Brielle's room. For this, we need to divide our SF to 350 sq.ft per gallon.

Paint Needed = 440 sq.ft / 350 sq.ft per gallon

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

The average book owned by other people is 112 which is greater than Michael's.

What is average?

In standard language, a mean could be a single range taken as representative of a listing of numbers, typically the total of the numbers divided by what numbers are within the list.

Main Body:

Books owned by Michael = 97

Average book owned by people = sum of all books / total people

avg. book owned = (225+142+29+103+61)/5

avg book owned by people = 560/5

                                               = 112

Hence books owned by avg people is 112.

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Answer:

Sorry, I can't help you with that :( I hope someone else can tho!

Step-by-step explanation:

The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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The total surface area of the prism will be 290.125 Square units.

The surface area of a rectangular prism is the measure of how much-exposed area a prism has. Surface area is expressed in square units.

The surface area of a rectangular prism is given by:

SA = 2 (lh +wh + lw )

where

l = 3

w = 4.25

h = 18.25

SA = 2 (3x18.25 + 4.25x18.25 + 3x4.25)

SA = 2 (54.75 + 77.5625 + 12.75)

SA = 2 (146.0625)

SA = 290.125 square units

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Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

To estimate the range of money spent by students on textbooks in a semester using the standard deviation rule, we can utilize the concept of the empirical rule.

According to the empirical rule, in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Given that the mean is $477 and the standard deviation is $35, we can calculate the range for approximately 95% of the students.

One standard deviation from the mean is $477 ± $35, which gives us a range of $442 to $512.

Two standard deviations from the mean is $477 ± (2 × $35), which gives us a range of $407 to $547.

Therefore, Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

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Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Answer:

lower left

Step-by-step explanation:

v+3<=6.5

v<=3.5

-18 is less than 3.5

Step-by-step explanation:

It can't be the first one because \(v=-18\) and were saying \(-v\) and to negatives make a positive so our equation is

\(18+3\) ≤\(-6.5\) which is incorrect

The one below the first one is incorrect

It's correct since our equation is

\(-18+3\leq 6.5\) which is correct

The top right one is correct because our equation is

\(18+3\leq 6.5\) which is incorrect

The one below that is correct because our equation is

\(-18+3\geq 6.5\) which is incorrect

we have y = -4/5x-2​

this is the equation of the line in slope intercept form

y=mx+b

where

m=-4/5

b=-2

therefore

slope is -4/5

y-intercept i -2

Answer:

Scatter plots are plots of data (different points on a plot). The line of best fit is the line that goes through the middle of the data so there are equal number of points on both sides of the line.

Step-by-step explanation:

Answer:

11.35 g/mL

Step-by-step explanation:

D = m/v

D = 567.5 g ÷ 50.0 mL (I assume its measured in mL)

D = 11.35 g/mL

Answer:

11.35

Step-by-step explanation:

Answer:

the third one looks right

Answer:

B. f(x) = 4x

Step-by-step explanation:

Answer:

\(y \geq -4\)

Step-by-step explanation:

This is because the lowest the y-coordinate goes to is -4.

The probability that the committee will consist of two teachers and two students is 28/65.

To determine the probability that the committee will consist of two teachers and two students, we need to first find the total number of ways to select four people from the group of 15:

Total number of ways = C(15,4) = 15! / (4!11!) = 1365

Next, we need to find the number of ways to select two teachers and two students:

Number of ways = C(7,2) * C(8,2) = (7! / (2!5!)) * (8! / (2!6!)) = 21 * 28 = 588

Finally, we can find the probability by dividing the number of ways to select two teachers and two students by the total number of ways:

Probability = 588/1365 = 28/65

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Answer:

we know that

Hillary

swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54

runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48

cycles every 16 days---> Multiples of 16---> 16-32-48-64

therefore

In 48 days she will do all three on the same day.

the answer is

48 days

Step-by-step explanation:

Answer:

I asked this same question and I got this answer

Step-by-step explanation:

g (x) = 2x7x24 = 336

I'm not sure bc I asked the same question and got this answer from someone...

The integral ∫ 5 4 (t³i +t √t − 4 j + t sin πtk) dt is evaluated as (1/4)t⁴ + (10/3)i + (-5k cos(5πk))j + (-4/πk) sin(4)k + (1/πk) sin(5πk)k + C

To evaluate the given integral, we need to integrate each component of the vector function separately with respect to t.

∫_4⁵ (t³i + t√(t-4)j + t sin(πtk)k) dt

The integral of the first component t³ with respect to t is (1/4)t⁴.

The integral of the second component t√(t-4) with respect to t can be simplified by making a substitution. Let u = t-4, then du/dt = 1 and dt = du. So the integral becomes:

∫_0¹ ((u+4)√u du) = ∫_0¹ (\(u^{1/2\) + 4\(u^{1/2\)) du = (2/3)\(u^{3/2\) + 8/3 \(u^{1/2\) evaluated from 0 to 1

= (2/3)(1\(u^{3/2\) - \(0^{(3/2)\)) + 8/3 (\(1^{(1/2)\) - \(0^{(1/2)\)) = 2/3 + 8/3 = 10/3.

The integral of the third component t sin(πtk) with respect to t can be evaluated using integration by substitution. Let u = πtk, then du/dt = πk and dt = du/(πk). So the integral becomes:

(1/πk) ∫_\(4^{(5\pi k)\) (u/π) sin(u) du

Using integration by parts, let u = (u/π), dv = sin(u) du, then du = du/π and v = -cos(u):

= (1/πk) [(u/π) (-cos(u)) - ∫_\(4^{(5\pi k)\) (-cos(u) du/π)]

= (1/πk) [(u/π) (-cos(u)) + (1/π) sin(u)] evaluated from 4 to 5πk

= (1/πk) [(5πk/π) (-cos(5πk)) - (4/π) sin(4) + (1/π) sin(5πk)]

= (-5k cos(5πk)) - (4/πk) sin(4) + (1/πk) sin(5πk)

Therefore, the final answer for the integral is: (1/4)t⁴ + (10/3)i + (-5k cos(5πk))j + (-4/πk) sin(4)k + (1/πk) sin(5πk)k + C, where C is the constant of integration.

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Answer:

-313

Step-by-step explanation:

a1=2; d=-5

a64=2-5(64-1)=-313

The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The arithmetic sequence;

⇒ 2 , -3 , -8 ...

Now,

The general equation for nth term of the arithmetic sequence is,

\(T_{n} = a + (n - 1) d\)

Where, The term 'a' represent the first term.

And, 'd' represent the difference between each consecutive numbers.

Here, In the arithmetic sequence 2 , -3, -8;

The first term = 2

The difference = -3 - (2) = - 5

So, To find the 64th term of the arithmetic sequence, we can substitute

n = 64 and a = 2 and d = -5 in above formula as;

\(T_{n} = a + (n - 1) d\)

\(T_{64} = 2 + (64 - 1) (-5)\)

\(T_{64} = 2 + (63 * -5)\)

\(T_{64} = 2 - 315\)

\(T_{64} = -313\)

Thus, The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.

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