A psychologist studying the effects of positive thinking" on cognitive ability designs the following study: 120 male volunteers are divided into two groups by random assignment. Eighty female volunteers are randomly divided into two groups of 40 by the same method. One group of 60 males and 40 females is asked to write down three things they feel that they are good at doing. The other group of 60 males and 40 females is asked to write down what they ate for breakfast. All 100 subjects then take a SAT Math practice test, and the means for the two groups are compared. Which of the following is a correct description of this study?

i. An observational study

ii. A completely randomized experiment

iii. A matched pairs experiment

iv. A stratified random experiment

v. A randomized block experiment

The value of A has been illustrated, computed and proven based in the triangle given.

It should be noted that that a triangle is a shape that has three sides and the value of the addition of all the angles are equal to 180°.

Based on the information that's given, it should be noted that the value of angle A, angle B, and angle C will be equal to 180°.

In this case, the following can be deduced:

A = 5x

B = 90°

C = x + 10°

Therefore, A + B + C = 180° (sum of angles in a triangle)

5x + 90 + x + 10 = 180°

6x = 180° - 90° - 10°

6x = 80°

x = 80/6

x = 13 1/3

Therefore, the value of A will be:

= 5x

= 5 × 13 1/3

= 66 2/3

Therefore, A is 66 2/3.

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The missing lengths  in the triangles are h = 3/2√2 and b = 4√3

Triangle a and b

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

A special right triangle

For a right triangle with an angle of 45 degrees

The measure of the leg is

h = Hypotenuse/√2

So, we have

h = 3/√2

Evaluate

h = 3/2√2

For the other triangle, we have

sin(60) = b/6

So, we have

b = 6/sin(60)

Evaluate

b = 4√3

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Answer: false

Step-by-step explanation:

Answer:

Yes absolutely true i took the lesson

Step-by-step explanation:

The Laplace transform of the given function \((t)-{: 01277 1, 0\)is given by:

\(L{(t)-{: 01277 1, 0} = L{(t - 1)e^(-2t) u(t - 1)} + L{e^(-2t) u(t)}\) where u(t) is the unit step function.

Step-by-step solution is given below: Given function is (t)-{: 01277 1, 0Laplace transform of the given function is \(L{(t)-{: 01277 1, 0}=L{(t-1)e^-2t u(t-1)}+L{e^-2t u(t)}\) Where u(t) is the unit step function.

We have to find the Laplace transform of the given function.\((t)-{: 01277 1, 0 = (t-1)e^-2t u(t-1) + e^-2t u(t)\)Laplace Transform of \((t-1)e^-2t u(t-1) = L{(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)} = e^{-as} * F(s)So, (t-1)e^-2t u(t-1) = 1(t-1)e^-2t u(t-1)\)

Taking Laplace transform on both sides,\(L{(t-1)e^-2t u(t-1)} = L{1(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\)(On substituting a = 2)

Now, Let's solve \(L{e^-2t u(t)}\)

Taking Laplace transform on both sides,\(L{e^-2t u(t)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\) (On substituting a = 2) Laplace transform of the given function L{(t)-{: 01277 1, 0}= L{(t-1)e^-2t u(t-1)} + L{e^-2t u(t)}= F(s+2) + F(s+2)= 2F(s+2)= 2L{e^-2t} = 2 / (s+2)

Hence, the Laplace transform of the given function is 2 / (s+2) which is a transfer function of a system with a first-order differential equation.

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Answer:

x²¹ /64

Step-by-step explanation:

To know the mistake made by Javier, let us simplify the given expression. This can be obtained as follow:

(20x / 5x⁸)¯³ = (20x)¯³ / (5x⁸)¯³

= (5x⁸)³ / (20x)³

= 5³x²⁴ / 20³x³

= 125x²⁴ /8000x³

= 125x²⁴ ÷ 8000x³

Recall

Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ

Therefore,

125x²⁴ ÷ 8000x³ = (125/8000)x²⁴¯³

= (1/64) x²¹ = x²¹/64

Thus,

(20x / 5x⁸)¯³ = x²¹/64

Answer:

nhbh

In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

Step-by-step explanation:

Answer:

c. 141 eighth-grade band students

Part B:

y = 3x

1/3y = x

The only binomial factor of f(x)=x^4-33x^2-28x+60 is (x-3).

To find which binomial is a factor of f(x)=x^4-33x^2-28x+60, we can use the factor theorem which states that if (x-a) is a factor of a polynomial f(x), then f(a)=0.

Therefore, we can try to find a value of x that makes f(x) equal to 0 and use that to determine the binomial factor.

Using synthetic division or long division, we can find that x=3 is a zero of the polynomial f(x), which means that (x-3) is a factor.

To find the other factor, we can divide the polynomial f(x) by (x-3) using long division or synthetic division. Doing this, we get:

x^3 + 3x^2 - 24x - 20

Now, we can use the same process to find if there are any more binomial factors. However, in this case, we cannot factor the polynomial x^3 + 3x^2 - 24x - 20 using binomials with integer coefficients.

Therefore, the only binomial factor of f(x)=x^4-33x^2-28x+60 is (x-3).

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Answer:

x = 5.7 units

Step-by-step explanation:

By applying Sine rule is the triangle XYZ,

\(\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}\)

\(\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}\)

\(\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}\)

\(\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}\)

\(x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}\)

x = 5.69

x ≈ 5.7 units

Answer:

80x + 210 = 490

x = 3.50 per hour

Step-by-step explanation:

The value of x in the first question is 3/7.

The value of y in the second question is 17/22

For the first equation given, the first step is to simplify the numbers in the numerator

5(1 - x) + 3(1 +x)

5 - 5x + 3 + 3x

2 - 2x

The equation becomes

\(\frac{2 - 2x}{1 - 2x} = 8\)

Cross multiply

2 - 2x = 8(1 - 2x)

2 - 2x = 8 -16x

Combine similar terms

16x - 2x = 8 - 2

14x = 6

Divide both sides of the equation by 14

x = 6/14

x = 3/7

The second question

The first step is to simplify the terms in the numerator by combining similar terms

y - 4 + 3y

4y - 4

The second step is to simplify the terms in the denominator by combining similar terms

2y - 3 - 4y

-2y - 3

The equation becomes

\(\frac{4y - 4}{-2y - 3}\) = \(\frac{1}{5}\)

Cross multiply

20y - 20 = -2y - 3

Combine similar terms

20y + 2y = 20 - 3

22y = 17

Divide both sides of the equation by y

y = 17/22

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Answer: d. the census bureau got the result 57,005 plus or minus 742 using a method that will capture the true median income 90% of the time when used repeatedly.

Step-by-step explanation:

No t-value has been included in this interval so it cannot be correctly labeled a confidence interval.

This invalidates options a to c.

Option d is therefore the correct answer because it states that the census bureau simply got those results above without claiming that the results constituted a confidence interval.

Answer:

4680

Step-by-step explanation:

65% of 7200 is 4680

Answer:

4680

Step-by-step explanation:

65% of 7200 is 4680

James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

Answer:

Therefore, the unknown number is 5.

Step-by-step explanation:

We can translate "Eight times the difference of a number and six is negative eight" into an algebraic equation as given below,

8(x - 6)

= -8                (where x is the unknown number we are trying to find)

The expression "the difference of a number and six" means x - 6. So, "eight times the difference of a number and six" means 8(x - 6).

The equation states that the product of 8 and the difference of the number x and 6 is equal to -8.

To solve for x, we can simplify the equation,

8(x - 6) = -8

8x - 48 = -8

8x = 40

x = 5

Therefore, the unknown number is 5.

Answer:

b)

...............

Answer:

Wassup

Step-by-step explanation:

Wut do u need help on .o.

As the firm develops a specific sort of sensor and ships them in boxes of four, each sensor weighed 10 grams at first.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

Let's call the original weight of each sensor "w". The total weight of 4 sensors would be 4w.

With the new design, each sensor weighs 9 grams more, so each sensor weighs w + 9 grams. The total weight of 4 sensors is 76 grams, so we can write an equation:

4(w + 9) = 76

Expanding the left-hand side and solving for w, we have:

4w + 36 = 76

4w = 40

w = 10

So each sensor originally weighed 10 grams as company manufactures a special type of sensor, and packs them in boxes of 4 for shipment.

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Answer:

The equation of the line in slope-intercept form is  \(y=0.4x+2.2\)

Step-by-step explanation:

The equation of the line in slope-intercept form can be calculated as follows ?

The first step is to find the slope-intercept form of the given line by the point-slope form formula as follows

\(y-y_{1}=m(x-x_{1})\)

Where \(m\) is the slope of the line

Write the given value of the slope

\(m=\frac{2}{5}\)

Convert the value of the slope into decimal

\(m=0.4\)

The second step is to substitute \(0.4\) for \(m\), \(1\) for \(y_{1}\), \(-3\) for \(x_{1}\) in the point-slope form formula

\(y-1=0.4(x-(-3))\)

Take out the inner bracket on the right side of the equation

\(y-1=0.4(x+3)\)

Expand the right side of the equation

\(y-1=0.4x+1.2\)

Add \(1\) to both sides of the equation

\(y-1+1=0.4x+1.2+1\)

Simplify the equation

\(y=0.4x+2.2\)

Hence the equation of the line in slope-intercept form is

\(y=0.4x+2.2\)

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The required equations are 10⁴x = 2900 and 10²x = 29

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, which equation is making, 0.29.

Considering 10⁴x = 2900 and 10²x = 29

1) 10²x = 29

100x = 29

x = 29 /100

x = 0.29

2) 10⁴x = 2900

10000x = 2900

x = 2900 / 10000

x = 0.29

Hence, the equations making 0.29 are 10⁴x = 2900 and 10²x = 29

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Answer:

type of fish sold

Answer: type of fish gold

Step-by-step explanation: i took the test

Two positive angles that have a sum of π/2 radians are complementary angles, whereas two positive angles that have a sum of π radians are supplementary angles.

Complementary angles are two angles whose measures add up to a right angle, which is equal to π/2 radians or 90 degrees. In other words, if α and β are complementary angles, then α + β = π/2.

Supplementary angles, on the other hand, are two angles whose measures add up to a straight angle, which is equal to π radians or 180 degrees. If α and β are supplementary angles, then α + β = π.

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Recall that to find the theoretical probability we use the following expression:

Since the jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles, then the jar contains 20+55+25=100 marbles. Therefore, the theoretical probability of picking a green or a yellow marble is:

The above decimal number written as a percentage is 75%.

Answer: Option D.

Answer:

I'm sorry but I don't know how to do function notation. I'm so sorry that I couldn't help you with this.

Answer:

D

Step-by-step explanation:

Area is found by LxWxH

Answer:

Step-by-step explanation:

\(Base = 10yd\\Height = 6yd\\\\Area = \frac{1}{2} \times base \times height\\\\A= \frac{1}{2} \times 10 \times 6\\\\A = \frac{60}{2} = \\\\30yd^2\)

Answer:

straight line, C

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

I hope this helps.

Answer:

Step-by-step explanation:

Simplify:

Answer:

\((4m + 7) + ( - 5n + 4) + ( - 6m + 1) \\ = 4m + 7 - 5n + 4 - 6m + 1 \\ = \boxed{- 2m - 5n + 12}✓\)

Answer:

56.52in

Step-by-step explanation:

Answer: C= 2piR

C= 2 times 3.14 times 9

C=18pi

C=56.52

Answer:

2(x-10)+4=-6x+2

2x-20+4= -6x+2

2x-16=-6x+2

2x+6x=2+16

8x=18

x=18/8

x=9/4

The area of the rectangular pen is represented by the quadratic equation \(A(w) = 50w - w^{2}\).

Let w be the width of rectangular pen.

We have been given that a farmer has 100 m of fencing to enclose a rectangular pen. This means that perimeter of pen is 100 meter.

Since the perimeter is 2 times the length and width of rectangle.

Perimeter of a rectangle = 2 (Width + Length)

Upon substituting our given values in above formula we will get,

\(100 = 2(w + length)\\50 = w + length\\50-w = Length\)

Area of a rectangle = Width x Length

\(Area of a rectangle = w (50-w)\\= 50w - w^{2}\)

Let us represent area in terms of width of rectangle as:

\(A(w) = 50w - w^{2}\)

Therefore, the area of the rectangular pen is represented by the quadratic equation \(A(w) = 50w - w^{2}\).

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