which of the following is not one of the assumptions that should be met before conducting an independent groups t-test? the dependent variable should be measured on at least an interval level scale. the dependent variable scores should be normally distributed in their parent populations. the samples should have the same number of participants.the samples should be randomly selected.

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

h=8

Step-by-step explanation:

open the brackets

then, 5h - 15= 25

h=(25+15)/5

h=8

Answer:

h = 8

Step-by-step explanation:

Hi there !

5(h - 3) = 25

5h - 15 = 25

5h = 25 + 15

5h = 40

h = 40 : 5

h = 8

Good luck !

A line is vertical, then all points lie on it have the same x-coordinates

If line L is a vertical line and passes through the point (a, b), then its equation is

Since the given line is a vertical line and passes through the point (-5, -3)

That means a = -5

Then its equation is

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Answer: B maybe i hope this was help

Step-by-step explanation:

The standard deviation, rounded to the nearest thousandth is 13.96

The variance of a distribution is 195

The standard deviation of the distribution is calculated as:

Standard deviation = sqrt(Variance)

So, we have:

Standard deviation = sqrt(195)

Evaluate

Standard deviation = 13.96

Hence, the standard deviation, rounded to the nearest thousandth is 13.96

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The total pressure of a mixture of two gases is the finalized value of the summation of the total pressure of each of the gases.

The total pressure of a mixture of two gases can be expressed in the form of an equation, as below,

Total Pressure = Pressure of Gas 1 + Pressure of Gas 2

It is noteworthy to be mentioned that the partial pressure of an individual gas is completely in contrast to that of the individual pressure of a gas. It can be expressed in the form of an equation, as below,

Partial Pressure = Total Pressure of Gas x Mole Fraction of Gas

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Answer:

24

Step-by-step explanation:

1/3 of 36 is 12 then 12 x 2 is equal to 24

A strong positive relationship between the two variables.

We first need to understand that there are two common variables, the dependent variable, and the independent variable. The independent variable is manipulated, and the dependent variable is measured. If the two variables are related, then they are correlated.

Correlation coefficients can be in between 1 and -1, with values closer to 1 indicating a stronger relationship. Positive values show a positive correlation while negative values show a negative correlation.

Therefore, a correlation coefficient of .90 indicates a strong positive relationship between the two variables.

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5 quarters =1.25$

15$÷1.25$=12

then 15$ in quaters would weigh 12 ounces

Answer: B

Step-by-step explanation:

Your original matrix:

1 0

0 1

after dilation

3 0

0 3

after reflection... it only changes sign of y because its reflected across x-axis

3 0

0 -3

B

Answer:

50 I think. let me know if I'm wrong.

The total number of boxes of canned food brought in by the three grades is 5.75 + 6.5 + 713 = 725.25 boxes.

To calculate the total number of boxes of canned food brought in by the three grades, we add the quantities brought in by each grade.

The 6th graders brought in 5.75 boxes of canned food. The 7th graders brought in 6.5 boxes of canned food. And the 8th graders brought in 713 boxes of canned food.

To find the total, we add these quantities: 5.75 + 6.5 + 713 = 725.25.

The sum, 725.25, represents the total number of boxes of canned food brought in by the three grades.

It's important to note that the total number of boxes is not a whole number but includes a fraction, as indicated by the decimal .25. This could be due to partial boxes or fractional contributions from the students.

Therefore, the total number of boxes of canned food brought in by the three grades is 725.25 boxes.

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Answer:

I think it should be 12. If you get it wrong, im sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

the square has perimeter P=48

P/4=48/4=12 each side is 12

to find the diagonal, you have an isosceles right triangle,

diagonal d,

d^2=a^2+a^2

d^2=144+144=288

d=sqrt288=17 (aprox)

\(\\ \sf\longmapsto 2(4x-1)+3(3-2x)=0\)

\(\\ \sf\longmapsto 8x-2+9-6x=0\)

\(\\ \sf\longmapsto 8x-6x-2+9=0\)

\(\\ \sf\longmapsto 2x+7=0\)

\(\\ \sf\longmapsto 2x=-7\)

\(\\ \sf\longmapsto x=\dfrac{-7}{2}\)

48.233 milliliters of acid are there.

Given:

A chemist is using 347 milliliters of a solution of acid and water.

13.9% of the solution is acid.

converting 13.9% to decimal:
13.9% = 13.9/100

13.9% = 0.139

milliliters of acid  = total milliliters*0.139

= 347*0.139

= 48.233 milliliters.

Therefore 48.233 milliliters of acid are there.

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Answer:

Point A ends up: Outside of triangle BCD

Now gimmie Brainliest ;)

After 6 weeks, John and Thomas will have the same amount of money, using the system of equations.

An equation is a mathematical statement that equates two variables using the equation sign (=).

Using equations, two values are stated to possess equivalent values.

                              John      Thomas

Initial savings         $80          $20

Weekly savings     $20          $30

Let x = weekly savings

John's savings = 80 + 20x

Thomas's savings = 20 + 30x

To determine the week the two savings will equate:

80 + 20x = 20 + 30x

80 - 20 = 10x, subtract 20 from both sides

60 = 10x, divide both sides by 10

6 = x

Check:

80 + 20x

= 80 + 120

= 200

20 + 30x

= 20 + 180

= 200

Thus, after 6 weeks, John and Thomas's money will be equal.

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Answer:

The area of rectangle is Length × Breadth

Step-by-step explanation:

You have already learnt that perimeters of plane figures and areas of squares and rectangles. Perimeter is the distance around a closed figure while area is the part of plane or reason occupied by the closed figure.

\( \sf \: Squares \: and \: Rectangles\)

Ananya and samira made pictures. Ananya made her picture on a rectangular sheet of length 60 cm and breadth 20 cm while samira made hers on a rectangular seat of length 40 cm and breadth 35 cm. Both these pictures have to be separately framed and laminated.

Who has to pay more for farming is the cost of farming is $3.00 per cm?

If the cost of lamination is $2.00 per cm², who has to pay more for lamination?

For finding the cost of farming, we need to find perimeter and then multiply it by the rate for farming. For finding the cost of lamination we need to find area and then multiply it by the rate of lamination.

Find the area of the rectangle whose Length is 4 cm and breadth/width is 6 cm .

Answer:

The area of the rectangle is 24 cm²

Step-by-step explanation:

Length of rectangle = 4 cm

Breadth of rectangle = 6 cm

\( \bf \: Formula \: used\)

\( \sf \: Area_ { \{Rectangle \}} = Length × Breadth\)

Now put values

\( \sf \: Length = 4 cm \)

\( \sf \: Breadth = 6 cm\)

\( \sf \: Length × Breadth = 4 × 6 \: cm \)

\( \sf \implies 24 \: cm \ {}^{2} \)

Always remember if we find area :-

After units like centimetres,metres we always put (²) on these units.

Like :- 26 cm², 56 m ²

In words = Twenty six centimetre square, Fifty six centimetre square

The area of rectangle is 24 cm²

Perimeter

Area

♦ Area of Rectangle

\( \underline{ \rule{140pt}{4pt}}\)

Area - Region occupied by figure is called area.

\( \large \bf{ \mathfrak{{More \: Formulas \: \red{( Area)}}}}\)

\( \large \sf \leadsto \: triangle = \frac{1}{2} \times bh\)

\(\large \sf \leadsto \: \: Rectangle \: = \: lb\)

\(\large \sf \leadsto \: \: Square \: = {s}^{2} \)

\(\large \sf \leadsto \: \: Parallelogram \: = \: bh\)

\(\large \sf \leadsto \: \: Rhombus \: = \: \frac{1}{2} \times \: d1 \times d2\)

\(\large \sf \leadsto \: \: Trapezium \: = \frac{1}{2} \times (x + y) \times h\)

\(\large \sf \leadsto \: \: Quadrilateral \: = \: \frac{1}{2} \times d(h1 + h2)\)

\(\large \sf \leadsto \: Circle \: = {\pi \: r}^{2} \)

\(\large \sf \leadsto \: \: Equilateral \triangle \: = \frac{ \sqrt{3} }{4} \times {s}^{2} \)

This is due to the fact that each y-value has a single x-value. It is not a one-to-one function if the horizontal line crosses the graph more than once since there is more than one x-value for some y-values.

A horizontal line is not a function, so why not?

The horizontal line has one y value for every x, whereas a function cannot have two y values for the same x.

Do functions pass the horizontal line test?

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Answer:

This depends on the drop downs but its probably this:

1. Coefficient

2. Factor (I changed this one after the asker said what options there are)

3. Constant

Answer:

In the first term, 3 is a coefficient

In the second term, (x + 2) is a factor

In the last term, 4 is a constant

Step-by-step explanation:

Correct from Edmentum

The answer is (e) None of the above. To find a particular solution y(t) for the given equation, we can assume that y(t) has a form similar to the right-hand side of the equation (-3 sin 5t).

In this case, we can guess that a particular solution has the form: y(t) = A sin 5t + B cos 5t

Now, let's calculate the derivatives of y(t):

y'(t) = 5A cos 5t - 5B sin 5t

y''(t) = -25A sin 5t - 25B cos 5t

Substituting these derivatives into the given equation, we have:

(-25A sin 5t - 25B cos 5t) + (5A cos 5t - 5B sin 5t) + (A sin 5t + B cos 5t) = -3 sin 5t

Simplifying the equation, we get:

-20A sin 5t - 20B cos 5t = -3 sin 5t

To make both sides of the equation equal, we must have:

-20A = -3

-20B = 0

Solving these equations, we find A = 3/20 and B = 0.

Therefore, the correct form for a particular solution y(t) is:

y(t) = (3/20) sin 5t + 0 cos 5t

= (3/20) sin 5t

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Answer:

11/12

Hope this helps!!!!

The probability that at least one of the five cards drawn from an ordinary deck of 52 cards is a Queen is approximately 0.826, or 82.6%.

To calculate the probability, we can use the principle of complementary probability. We first find the probability of not drawing any Queens in the five-card draw.

The total number of possible five-card draws from a deck of 52 cards is given by the combination formula C(52, 5). The number of draws without any Queens is given by the combination formula C(48, 5), as there are 48 non-Queen cards remaining after one Queen is removed from the deck.

Therefore, the probability of not drawing any Queens is C(48, 5) / C(52, 5). To find the probability of at least one Queen, we subtract this probability from 1, because it represents the complementary event.

The final probability is then 1 - (C(48, 5) / C(52, 5)), which is approximately 0.826 or 82.6%. This means that in the majority of five-card draws from a standard deck, there is a high likelihood of at least one Queen being drawn.

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The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530

What is slope?

Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.

a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:

slope = (change in y) / (change in t)

slope = (9.1 - 4.922) / (6 - 0)

slope = 0.63

Using the point-slope form of a linear equation, we can write the equation of the line as:

y - 4.922 = 0.63(t - 0)

Simplifying, we get:

y = 0.63t + 4.922

Therefore, the linear model for this data is y = 0.63t + 4.922.

b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:

y = 0.63(11) + 4.922

y = 11.53

Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).

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Step-by-step explanation:

2x^2-5x

f(x)= 2(4)^2-5(4)

2(16)-20

32-20= 12

Answer:

-4

Step-by-step explanation:

F(-4)= 2x^2 - 5x

F(-4)= 4x - 5x

F(-4)-4x+5x

F (-4)1

-4

Answer:

-1 ( 1/3*1/3*1/3*1/3)

Step-by-step explanation:

-(3)^-4

The exponent is only affecting what is inside the parentheses

-1 * (3) ^-4

We know that a^-b = 1/a^b

-1 * 1/3^4

-1/3^4

-1 ( 1/3*1/3*1/3*1/3)