A psychologist is studying the self image of smokers, which she measures by the self-image (SI) score from
a personality inventory. She would like to estimate the mean SI score, μ, for the population of all smokers.
She plans to take a random sample of SI scores for smokers and estimate u via this sample. Assuming that
the standard deviation of SI scores for the population of all smokers is 82, what is the minimum sample size
needed for the psychologist to be 90% confident that her estimate is within 12 of µ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number
(and make sure that it is the minimum whole number that satisfies the requirements).

Answer:

  (b)  $21,495.64

Step-by-step explanation:

You want to know the value of $15,000 after it has earned continuously compounded interest at 17.99% for 2 years.

The value of an account earning interest at annual rate r compounded continuously is ...

  A = P·e^(rt)

where P is the initial account value, and t is the number of years.

In this problem, we have P=15000, r=0.1799, and t=2, so the amount due will be ...

  A = $15,000·e^(0.1799·2) ≈ $21,495.64 . . . choice B

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1) The graph of function g is graph W because it is result of a vertivcal compression applied to graph f.

2)  The graph of function g is graph X because it is result of a horizontal shift applied to graph f.

3)  The graph of function g is graph Y because it is result of a reflection over y-axis applied to graph f.

4)  The graph of function g is graph Z because it is result of a horizontal compression applied to graph f.

Here, a transformation applied to function f where f(x) = (1/2)^x

Consider graph W. We can observe that when the the graph of f(x) is compressed vertically then it will results in the graph of g(x)

Consider graph X. We can observe that if the the graph of f(x) is shifted horizontally right by 2 units then it will results in the graph of g(x)

Consider graph Y. We can observe that the the graph of g(x) is nothing but the reflection of f(x) over x-axis.

Consider graph Z. We can observe that when the the graph of f(x) is compressed horizontally then it will results in the graph of g(x)

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Answer:

2((3(4) + 4(7) + 3(7)) = 2(12 + 28 + 21) = 2(61) = 122 square meters

Answer:

C. The items have different y-intercepts and different rates of change

Step-by-step explanation:

Figure I shows a linear equation in the form y = mx + b, where "m" is the rate of change and "b" is the y-intercept. That means for y = 1/4 * x - 1/2, 1/4 is the slope and 1/2 is the y-intercept.

Figure II shows a table. The y-intercept is when x = 0, so look at where x = 0 is in the table and see the y-value which corresponds to it. The y-value in this case would be -0.25. To find the rate of change, assuming Table II is changing at a constant rate, subtract the subsequent y-value from a proceeding y-value and divide that by subtracting the corresponding x-values (any two sets of x and y-values should work): (3.75 - 7.75)/(-1 - -2) = -4/(-1 + 2) = -4/-1 = 4.

Thus, we know that the rates of change are different and the y-intercepts are different for both functions.

Answer:

See below!

Step-by-step explanation:

Length = 735 meters

Width = 756 meters

Area = length × width

Area = 735 × 756

Area = 555660 m²

To find the area of largest square, we first need to find the highest common factor of 735 and 756.

HCF of 735 and 756:

= 21

This means the length of largest square will be 21 m.

Now,

= length × length

= 21 × 21

No. of squares = Total area / Area of largest square

No. of squares = 555660 / 441

[tex]\rule[225]{225}{2}[/tex]

This shows that the two circles intersect at a point P, and that the distance between their centers, OP1OP2, is less than the sum of their radii, r1 + r2. Thus, the two circles touch each other internally at point P.

You must calculate each circle's radius and centre in order to accomplish this. The circles will externally touch if the total of the radii and the space between the centres are identical. The circles will internally touch if the variations in radii and the separation between their centres are equal.

Let C1 and C2 stand for the two circles, with O1 and O2 serving as their respective centres. Let r1 and r2 represent the radius of C1 and C2, respectively.

Let's say that point P is where the two circles converge. The Pythagorean Theorem thus gives us:

OP1² = r1²

OP2² = r2²

OP1² + OP2² = (r1 + r2)²

Simplifying the third equation, we get:

OP1² + OP2² = r1² + 2r1r2 + r2²

The left half of this equation can be rewritten as (OP1 + OP2)2 - 2OP1OP2. When we simplify the equation above and substitute this, we get:

(OP1 + OP2)² = (r1 + r2)² + 2OP1OP2

Since OP1 and OP2 are both positive, we have:

(OP1 + OP2)²> (r1 + r2)²

Therefore, we must have:

OP1OP2 < r1 + r2

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Hence,Volume measurement do you need to calculate in order to determine the amount of space each structure encloses .

We   take   a   measurement  of  a   shape  of  volume    arrangement   to   discover   how   much   space  are  contain .     The    volume   of  a  body  is  the   amount  of   three -   dimensional   space   that   it  surrounded and   it   can   be  determine  by  multiplying  the  shape  of    length , breath , and  width  or  height.

we  can  use  the  equation are  Volume  =  Length  x  Width  x  Height  to  compute  the  volume  of  simple   structure  like  as  rectangular  prisms.  It  may  be  necessary  to  divide  more  raised  structures into  simply  shapes,  determine  the  volume  of  each  shape,  and  then  add  the  volumes  of  each  shape to  determine  the  everywhere  volume  of  the  construction.

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Answer:

I'm sorry, but I'm not sure what you are trying to convey with the string of characters "C 17 39 511 -U D 28 4 10 6". It doesn't appear to be a meaningful sentence or question. Could you please provide me with more information or context so I can better understand what you are trying to communicate?

Step-by-step explanation:

The measure of ∠DOT is equal to 58°

The measure of ∠TOU is equal to 32°.

In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).

Mathematically, a complementary angle can be calculated by using this mathematical equation:

Q + R = 90°

Where:

Q and R are measure of the angles subtended.

By substituting the given parameters into the complementary angle formula, the sum of the angles is given by;

(7x + 2) + 4x = 90.

11x + 2 = 90

11x = 90 - 2

x = 88/11

x = 8.

For the measure of ∠DOT, we have;

∠DOT = (7x + 2)

∠DOT = 7(8) + 2

∠DOT = 58°

For the measure of ∠TOU, we have;

∠TOU = 4x

∠TOU = 4(8)

∠DOT = 32°.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The graph of the function h(x) is then added as an attachment

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

h(x) = 2|x|

Also, we have

f(x) = |x|

When the function f(x) = |x| is compressed by a factor of 2, we do the following

We multiply 2 to the function equation

So, we have

h(x) = |x| * 2

Evaluate

h(x) = 2|x|

This means that the transformed function is passes through (x, 2y) of the original function

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Answer:

-19

Step-by-step explanation:

First you need to add all of the positive and negative numbers together, which would look like (12+12+24) + (-67) OR 48 + -67. Now add -67 to 48.

-67 + 48 is -19. Therefore the answer is -19.

IM SO SORRY IF THIS DID NOT MAKE SENSE!

Answer:12+12=24

24-67=-43

-43+24=-19

Step-by-step explanation:

The probability of spinning a number less than 5 is P =70%

To find the probability just take the quotient between the number of numbers that are smaller than 5, and the total amount in the spinner. That is because we assume that all the regions have the same individual probability of being spun.

There are 10 in total, and of these, 7 are smaller than 5, then the probability is:

P= 7/10 = 0.7

And to write as a percent, multiply it by 100%

0.67*100% = 70%

That is the probability.

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In the ratio, the odds that are less generous is C) 19:1 and D)18:1.

What is ratio?

When two numbers are compared, the ratio between them shows how often the first number contains the second. As an illustration, the ratio of oranges to lemons in a dish of fruit is 8:6 if there are 8 oranges and 6 lemons present.

Here odds for bets are 11:1.

That means if for every $1  you bets, you may wins $11.

There are [tex]\frac{1}{1+11}=\frac{1}{12}=8.33\%[/tex] chance of this happens.

If the friends thinks odds are too generous , then the odds that less than generous are,

=> for 4:1 then [tex]\frac{1}{1+4}=\frac{1}{5}= 20\%[/tex]

=> For 6:1 then [tex]\frac{1}{6+1}=\frac{1}{7}= 14\%[/tex]

=> For 19:1 then [tex]\frac{1}{19+1}=\frac{1}{20}=5\%[/tex]

=> For 18:1 then [tex]\frac{1}{18+1}=\frac{1}{19}=5.2\%[/tex]

Hence the odds that are less generous is C) 19:1 and D)18:1.

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This is the equation that represents the situation: 3q + 7 = 40.

In mathematics, an equation is a statement that asserts the equality of two expressions, usually separated by an equals sign (=). An equation states that two expressions have the same value, and it provides a way to find the unknown values of variables by manipulating the expression using algebraic operations. Equations are used in a variety of fields, including physics, chemistry, engineering, economics, and many others, to model relationships and solve problems.

Here,

Let's call the length of the fourth side "x".

Since the three sides of the quadrilateral are the same length, we know that they are each equal to "q".

The perimeter of a quadrilateral is the sum of all its sides, so we can write:

q + q + q + x = 40

Simplifying, we get:

3q + x = 40

We also know that the length of the fourth side is 7 inches, so we can substitute that in for "x":

3q + 7 = 40

This is the equation that represents the situation.

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We discard the negative solution, so EF = 8.725. Now we can substitute this value into the

How to solve the question?

To solve this problem, we can use the fact that if two triangles are similar, their corresponding sides are proportional.

We are given that triangle ABC is similar to triangle DEF. Therefore, we can set up the following proportion:

AB/DE = BC/EF = AC/DF

We are given the lengths of AB, AC, and BC, so we can substitute those values into the proportion:

11/DE = 7.9/EF = 7.6/DF

We are asked to find the length of DF, so we can isolate DF by cross-multiplying:

11EF = 7.9DE

7.6EF = 11DF

Now we can set the two expressions for EF equal to each other and solve for DF:

11EF = 7.9DE

11EF/7.9 = DE

1.39EF = DE

7.6EF = 11DF

DF = 7.6EF/11

Substitute the value of DE into the expression for EF:

DF = 7.6(1.39EF)/11

DF = 1.52EF

Now we need to find the value of EF. We can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of angle E:

angle E = 180 - angle D - angle F

We are not given the measures of angle D or angle F, so we cannot find angle E directly. However, we do know that triangles ABC and DEF are similar, so their corresponding angles are congruent. Therefore, we can use the measures of angles A, B, and C to find the measure of angle D:

angle D = angle A

angle D = 180 - angle B - angle C

Substitute the given values for angles A, B, and C:

angle D = 56.1 degrees

angle D = 116.9 degrees

We can use the Law of Cosines to find the length of EF:

EF²= DE² + DF²- 2(DE)(DF)cos(D)

EF²= 2.2² + (1.52EF)² - 2(2.2)(1.52EF)cos(D)

Substitute the two possible values for angle D:

EF²= 2.2²+ (1.52EF)² - 2(2.2)(1.52EF)cos(56.1)

EF²= 2.2²+ (1.52EF)² - 2(2.2)(1.52EF)cos(116.9)

Simplify both expressions:

EF²= 3.2596 + 2.3104EF²- 5.7024EF

EF²= 3.2596 + 2.3104EF² + 5.7024EF

Solve for EF using either equation:

-0.3104EF² + 5.7024EF - 3.2596 = 0

-0.3104EF² - 5.7024EF + 3.2596 = 0

Solve for EF using the quadratic formula:

EF = (-b ± √(b² - 4ac))/(2a)

EF = (-5.7024 ± √(5.7024² - 4(-0.3104)(-3.2596)))/(2(-0.3104))

EF = 8.725 or EF = -4.185

We discard the negative solution, so EF = 8.725. Now we can substitute this value into the

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Answer:

a. df = 1.52

Step-by-step explanation:

11 / 5 = 2.2

so... you divide the other number by 5

7.6 / 5 = 1.52

making the length of df, 1.52

hope this helps!!! :))))

The given graph's Euler path is represented as a series of vertices visited in the following order: EBADCFEACBE.

A path in a finite graph known as an Euler path is one that traverses each edge precisely once while yet allowing for the revisiting of vertices.

A similar Euler trace that begins and finishes at the same vertex is known as an Euler circuit or cycle. When Leonhard Euler found a solution to the Seven Bridges of Konigsberg puzzle in 1736, it was first brought up for discussion.

A path known as an Euler path is one that utilises every edge in the graph once and only once. It doesn't have to return to the starting point because it is a path. A circuit that utilises every edge in the diagram once is known as an Euler circuit. As it is a circle, it should start and terminate at the same vertex.

If a graph has no more than two vertices of odd degree, it has an Euler path.

If every vertex has an even degree, the graph has an Euler circuit.

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Answer:

First, we need to convert 1,200 meters to inches:

1,200 meters * 39.3701 inches/meter = 47,244.12 inches

Next, we need to find the circumference of the wheel:

Circumference = π * Diameter

Circumference = 3.14 * 12 inches

Circumference = 37.68 inches

To find the number of revolutions, we can divide the total distance traveled (47,244.12 inches) by the distance traveled per revolution (37.68 inches):

47,244.12 inches ÷ 37.68 inches/revolution ≈ 1,254 revolutions

Rounding to the nearest whole number, it will take approximately 1,254 revolutions of the wheel to travel 1,200 meters on a child's bicycle.

Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.

Objects in three dimensions are represented by solid shapes. Search the area! Solid shapes include any other three-dimensional object, such as a laptop, phone, ice cream cone, balls, etc.

On a three-dimensional plane, a cylinder is a solid shape. It maintains a set spacing between two circular, parallel bases that are connected by a curved surface (like a tube).

Given that:

The formula for the volume of cylinder V:

V = πr²h

Put the values:

502 = 3.14*4²*h

502 = 3.14*16*h

h = 502 / 50.2

h = 10 ft

Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.

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Complete question:

Find the missing dimension of the given solid.

The figure is attached.

The equation representing the relationship between the number of weeks (w) and the number of books collected (b):

b = 10w + 0

b = 10w

We can observe from the table that the number of books collected increases by 10 for each week.

Thus, there is a linear relationship between the number of weeks (w) and the number of books collected (b). We can represent this relationship using the equation:

b = mw + c

where b is the number of books collected, w is the number of weeks, m is the slope (rate of change), and c is the y-intercept (number of books collected at week 0).

The slope (m) is the change in the number of books collected per week, which is 10. We can now find the y-intercept (c) by substituting one of the points from the table into the equation. Let's use the point (1, 10):

10 = 10 * 1 + c

c = 0

Now we have the equation representing the relationship between the number of weeks (w) and the number of books collected (b):

b = 10w + 0

b = 10w

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the data in the form of a table, which shows the total number of books collected (b) for different number of weeks (w).

Weeks (w) Books Collected (b)

1 10

2 20

3 30

4 40

Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?

Answer:

Therefore, the original price of the dish was $12.61.

Step-by-step explanation:

Let the original price of the dish be "x".

After raising the price by 15%, the new price becomes:

x + 0.15x = 1.15x

We know that the new price is $14.50, so we can set up the equation:

1.15x = 14.5

To solve for x, we can divide both sides by 1.15:

x = 14.5 / 1.15

x = 12.61 (rounded to two decimal places)

Answer:

Step-by-step explanation:

You want the union and the intersection of the given sets D and E.

The union of the two sets is the list of elements in either set. It will contain all of the elements of D along with all of the elements of E, with duplicate values removed so that each element is only listed once.

The intersection of the two sets is the list of elements that appear in both sets. Any element that only appears in one of the sets is not part of the union.

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The size of the expresssion 2x + 5 - 3x when x = 4 is 1.

Given the expression in the question:

2x + 5 - 3x

Also, x = 4

The expression 2x + 5 -3x is an algebraic expression that involves the variable x.

When we substitute x = 4 into the expression, we replace every occurrence of x with 4.

Hence

2x + 5 -3x

Replace x with 4

2(4) + 5 - 3(4)

8 + 5 - 12

Add 8 and 5

13  - 12

Subtract 12 from 13

1

Therefore, when x=4, the size of 2x + 5 - 3x is 1.

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No, Jasmine is not completely correct. The commutative property states that the order of the numbers can be changed without affecting the result of the operation.

In addition, the commutative property is true: a + b = b + a for any two numbers a and b.

For subtraction, the commutative property is not true in general: a - b is not equal to b - a.

However, there are some special cases where the commutative property does hold true for subtraction. For example, if a and b are equal, then a - b = b - a.

So, in general, Jasmine's statement that the commutative property never works for subtraction is not correct. While it is true that the commutative property does not hold true for subtraction in the same way that it does for addition, there are some special cases where it does apply.

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There are a total of 14 possible outcomes, one for each marble in the bag.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is selecting a marble from the bag.

There are 14 marbles in the bag in total.

When the first marble is selected, there will be 13 marbles remaining in the bag, then 12, then 11, and so on.

Therefore, the number of outcomes in the sample space is:

3 + 4 + 2 + 5 = 14

There are 14 possible outcomes, one for each marble in the bag.

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Apply the fraction rule:

[tex]\text{a}\times\dfrac{\text{b}}{\text{c}} =\dfrac{\text{a}\times\text{b}}{\text{c}}[/tex]

Answer:

[tex]\longrightarrow\boxed{\bold{\frac{\text{fx}}{\text{g}}}}[/tex]

a. 4. b > 0

If b is positive, then we know it will be greater than 0.

b. 1. s ≤ 0

If s is nonpositive, this means it is negative or 0. We will use a less than or equal to symbol.

c.  3. w ≥ -8

If w is greater than or equal to -8, we will use a greater than or equal to symbol.

$15 is the cost of a 6-ounce serving cost.

What is the cost price?

The precise value that corresponds to the unit price paid is represented by the cost price. In some stock market theories, this value is utilized to establish the value of stock holdings and is used as a key determinant of profitability.

Here, we have

Given: If a 24-pound EP rib of beef costing $45.00 is purchased oven-ready, and 1/4 of it is lost during roasting.

EP = 24 lb costing $45

1/4th lost during roasting.

Remaining = 24 lb - (1/4) of 24 lb

= 24 lb - 6 lb

= 18 lb

Now, this roast should match the cost of the original EP.

Cost per lb = (cost of beef originally)/(quantity of roasted beef)

= 45/18 dollar per lb

Cost of 6-ounce serving cost = (45/18)×6 = $15.

Hence, $15 is the cost of a 6-ounce serving cost.

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The surface area of the square pyramid given above would be = 400ft²

To calculate the surface area of the given figure, the formula that should be used would be = b² +2bs

where B = base length= 10ft

s = slant height= 15ft

Surface area = 100+2(10×15)

= 100+300

= 400ft²

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