It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that % of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

a) 1/5

b) 3/8

Step-by-step explanation:

2 and 10 go in 2 table

2 times 1 = 2

2 times 5 = 10

3 times 3 = 9

3 times 8 = 24

The amount of saving in pounds is £7.00 and in percentage is 29.167%

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Cost of 500mm×500mm×0.7mm = £6.00

No. of sheets that can be cut will be = \(\frac{1000 * 1000 * 0.7}{500 *500 *0.7}\)

                                                             = 4 sheets

Cost of 1 sheet of 1000mm x 1,000 mm x 0.7 mm = £17.00

Cost of 4 sheets of 500 mm x 500 mm x 0.7 mm = £6.00 × £4.00

                                                                                 = £ 24.00

Hence saving = £ 24.00 - £17.00

                       = £ 7.00

Hence percentage of savings = 7/24 × 100

                                                  = 175/6

                                                  = 29.167%

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The sampling technique used for this situation is given by:

c) Cluster.

Samples may be classified as:

In this problem, the population is divided into groups, and each element of the groups are survived, hence cluster sampling was used.

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The integer whose square root is close to 2.25 is 5, and the correct answer is √5 ≈ 9/4.

The given equation is 9/4 = 2.25, which is equivalent to saying that 2.25 is close to the fraction 9/4.

We can use this information to find an integer whose square root is close to 2.25.

Let's check the square root of some integers to see which one is closest to 2.25:

√1 ≈ 1.00

√2 ≈ 1.41

√3 ≈ 1.73

√4 ≈ 2.00

√5 ≈ 2.24

√6 ≈ 2.45

√7 ≈ 2.65

√8 ≈ 2.83

√9 ≈ 3.00

As we can see, the square root of 5, √5 ≈ 2.24, is the closest integer to 2.25.

So, the integer whose square root is close to 2.25 is 5, and the correct answer is √5 ≈ 2.24.

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Answer: 38.3 cm

Step-by-step explanation:

To find the size of a rectangular monitor measured diagonally, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Here are the steps to calculate the diagonal size of the monitor:

Therefore, the size of the rectangular monitor that is 30 centimeters wide by 24 centimeters high is approximately 38.3 cm. to the nearest centimeter.

The size of the given mirror as a rectangular diagonal is 38.41 cm which is almost 39 cm.

We know that;

d=√ {(l)^2 + (w)^2}.........(i), where,

d= diagonal of the rectangle,

l= length of the rectangle = 30 cm

w= width of the rectangle = 24 cm.

Therefore, Substituting the values of each in equation (i), we get;

d=√{(30)^2+(24)^2} cm,

or, d = 38.41 cm

So, the size of the rectangular mirror measured diagonally is 38.41 cm which is almost 39 cm.

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approximately 68% of the students in the class would have earned a score between 20 and 28.

we will be using the mean and standard deviation to determine the percentage of students who scored between 20 and 28.
The mean score of the test is 24, and the standard deviation is 4. To determine the percentage of students scoring within this range, we will apply the empirical rule, which states that in a normal distribution:
- Approximately 68% of the data falls within one standard deviation of the mean
- Approximately 95% of the data falls within two standard deviations of the mean
- Approximately 99.7% of the data falls within three standard deviations of the mean
Since we want to find the percentage of students who scored between 20 and 28, we are looking at a range that is one standard deviation below and one standard deviation above the mean (24 - 4 = 20 and 24 + 4 = 28). This range represents approximately 68% of the data.

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Answer:

4 minutes

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

18 = 1.2%

100% ÷ 1.2% = 83 and 1/3

1.2% × 83 and 1/3 = 100%

18 × 83 and 1/3 = 1500

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The perimeter P is the sum of the 4 sides of the rectangle.

The opposite sides of the rectangle are congruent , then

P = 2x + 1 + 2x + 1 + x + x ← collect like terms

P = 6x + 2

a. The equation of line of best fit is ŷ = 1.26x + 26.6

b. The correlation coefficient is 0.60

c. undefined

d. The graph is attached

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

The table of values

From the graphing calculator, the summary of the above dataset is:

The regression equation is represented as

ŷ = bx + a

Where

b = SP/SSX = 22/17.5 = 1.25714

a = MY - bMX = 31 - (1.26*3.5) = 26.6

So, we have

ŷ = 1.26x + 26.6

So, the linear regression model to represent the data set is ŷ = 1.26x + 26.6

From the graphing tool, we have

r = 0.6032

This means that the correlation coefficient is 0.60

This cannot be calculated

See attachment

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The equation will be written as (42/2) = 21.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the quotient of a number, 2, and 21 is 42. The equation of the quotient will be written as,

42 / 2 = 21

Here the value 42 when divided by 2 will give 21.

Therefore, the equation will be written as (42/2) = 21.

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The expression (y^2)(y^-4) simplifies to y^-8.

To calculate the expression (y^2)(y^-4), we apply the rule of multiplying exponents. When we multiply two powers with the same base, we add their exponents. In this case, y^2 multiplied by y^-4 can be simplified as y^(2 + (-4)), which simplifies further to y^-2.

Next, we calculate b^-6 using the rule of negative exponents. When a base is raised to a negative exponent, it is equivalent to taking the reciprocal of the base raised to the positive exponent. Hence, b^-6 is equal to 1/(b^6).

Combining the results, we have (y^-2) multiplied by (1/(b^6)), which can be further simplified using the rule of multiplying exponents. Thus, (y^-2)(1/(b^6)) becomes y^(-2 - 6), resulting in y^-8.

Therefore, the expression (y^2)(y^-4) simplifies to y^-8.

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The smaller triangle is DEF which has sides

The larger triangle ABC has side lengths of

Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.

Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have  AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.

By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.

The quadrants is tan⁻¹x restricted is A. Quadrants I and IV

To answer the question, we need to know what tan⁻¹x is.

tan⁻¹x is the inverse trigonometric function of tanx, which is the value of the angle for tanx.

To find the quadrants in which tan⁻¹x is restricted, we know that tanx lies in the range

-∞ ≤ tanx ≤ +∞ for -90° ≤ x ≤ 90°.

tan⁻¹x lies between quadrant I and IV

So, the quadrants is tan⁻¹x restricted is A. Quadrants I and IV

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The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer:

5 planes

Step-by-step explanation:

A plane is a surface joining three points.

Planes are the flat two dimensional surfaces which extends infinitely far.

From the figure attached planes are,

ABC, DEF, ABE, BCD, ACD

Therefore, there are five planes shown in the given picture attached.

The circumference of the circle is 6.28 metres.

The area of the circle is 3.14 m².

The circumference and the area of a circle can be found as follows:

area of the circle = πr²

where

Therefore, the diameter of the circle is 2 metres.

r = 2 / 2 = 1 metres

Hence,

area of the circle = 3.14 × 1²

area of the circle = 3.14 m²

Therefore,

circumference of the circle = 2πr

where

r = radius

circumference of the circle = 2 × 3.14 × 1

circumference of the circle = 6.28 metres

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12+85% is $22.20

80%x12=9.6

5%x12=0.6

9.6+0.6=10.2

12+10.2=22.20

 Answer: $22.20  

The opposite of a number is derived when the value moves in the opposite direction on the number line. Hence the opposite of 10 on the number line is -10 because you simply move 10 units to the left of the number line. So to put it simply, the opposite of a number is the same number with a negative value. However the absolute value of a number is the positive value of that same number. Hence when a number is expressed in its absolute value (usually written as |x|, then whether its positive or negative, its value would be expressed as a positive. Which means for example, the absolute value of -10 is 10, (or | -10 | = 10).

The opposite of a number and its absolute value is always the same, because the value of any number in its absolute form is always positive.

Note that two numbers are opposites if they have the same absolute value.

Answer:

  6

Step-by-step explanation:

You want to know the number of uphill integers divisible by 15, where an uphill integer is one that has its digits strictly increasing.

An integer will be divisible by 15 if and only if it is divisible by 3 and 5. An integer is divisible by 5 if it ends in 5 or 0. An uphill integer cannot end in 0, so must end in 5.

An integer is divisible by 3 if the sum of its digits is divisible by 3

An uphill integer will have differences between successive digits that are positive integers. In order for the final digit to be 5, the sum of these differences must be 5. Hence we can find uphill integers by considering the "integer partitions" of 5: the sets of positive integers whose total is 5. Those sets would be ...

  {5}, {4, 1}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}

Uphill integers will also have digit differences that are some permutation of each of these sets. For example, the digit differences may be {4, 1} or {1, 4}, corresponding to the numbers 45 or 15.

The uphill integers that end in 5 are ...

  5, 45, 15, 35, 25, 345, 145, 125, 245, 235, 135, 2345, 1345, 1245, 1235, 12345

We already know each of these is divisible by 5. The ones that have a digit total that is a multiple of 3 are ...

  15, 45, 135, 345, 1245, 12345

There are 6 uphill integers divisible by 15.

The solution to each of the given simultaneous equations using graphical method is:

1) The solution is (1, 2)

2) The solution is (2/3, 5/3)

3)The solution is (0, 2)

4) The solution is: (3, 0)

5) There is no solution.

6) There is no solution.

There are three primary ways used to solve simultaneous equations and they are:

1) Elimination Method

2) Graphical Method

3) Substitution Method.

In this case, we are told to solve the simultaneous equations by graphical method and we have as attached:

1) y = x + 1

x + y = 3

The solution is (1, 2)

2) y = x + 1

x + 2y = 4

The solution is (2/3, 5/3)

3) y = x + 2

x + y = 2

The solution is (0, 2)

4) x + y = 3

x = 3

The solution is: (3, 0)

5) y = x + 4

y = x + 3

There is no solution as they are both parallel to each other

6) y = -x - 2

3y = -3x - 6

There is no solution as they are both parallel to each other

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Answer:

According to the question if f(x)=∫0x(81−t2)et3dt  So, the largest interval on which f(x) is increasing is (-9, 9).

To find the largest interval on which f(x) is increasing, we need to first find the derivative of f(x) with respect to x.

Since f(x) is an integral, we can apply the Fundamental Theorem of Calculus which states:
If F(x) = ∫(a to x) f(t) dt, then F'(x) = f(x).
In this case, f(x) = ∫(0 to x) (81 - t^2)e^(t^3) dt. Therefore, the derivative f'(x) is: f'(x) = (81 - x^2)e^(x^3).

Now, we need to find when f'(x) is positive, which indicates an increasing interval. To do this, we analyze the sign of f'(x) (81 - x^2)e^(x^3) > 0.
Since e^(x^3) is always positive, we only need to focus on the term (81 - x^2):
81 - x^2 > 0
x^2 < 81
x ∈ (-9, 9).

So, the largest interval on which f(x) is increasing is (-9, 9).

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Answer:

In the area formula, there are two dimensions that are multiplied, base and height. So, the units are also multiplied. Inches times inches is inches squared. Also, area is a measurement that counts how many squares fit inside of a shape, so it makes sense that the units are described as squared.

Step-by-step explanation:

Answer:

Sample response: In the area formula, there are two dimensions that are multiplied, base and height. So, the units are also multiplied. Inches times inches is inches squared. Also, area is a measurement that counts how many squares fit inside of a shape, so it makes sense that the units are described as squared.

Step-by-step explanation:

Answer:

diabetes is the correct answer tehehehe

Answer:

he now has 120 candy bars

Step-by-step explanation:

The machine numbers immediately to the right and left of 2ⁿ in the floating-point representation depend on the specific floating-point format being used. In general, the machine numbers closest to 2ⁿ are the largest representable numbers that are less than 2ⁿ (to the left) and the smallest representable numbers that are greater than 2ⁿ (to the right). The distance between 2ⁿ and these machine numbers depends on the precision of the floating-point format.

In a floating-point representation, the numbers are typically represented as a sign bit, an exponent, and a significand or mantissa.

The exponent represents the power of the base (usually 2), and the significand represents the fractional part.

To find the machine numbers closest to 2ⁿ, we need to consider the precision of the floating-point format.

Let's assume we are using a binary floating-point representation with a certain number of bits for the significand and exponent.

To the left of 2ⁿ, the largest representable number will be slightly less than 2ⁿ. It will have the same exponent as 2ⁿ, but the significand will have the maximum representable value less than 1.

The distance between this machine number and 2ⁿ will depend on the spacing between representable numbers in the chosen floating-point format.

To the right of 2ⁿ, the smallest representable number will be slightly greater than 2ⁿ. It will have the same exponent as 2ⁿ, but the significand will be the minimum representable value greater than 1.

Again, the distance between this machine number and 2ⁿ will depend on the spacing between representable numbers in the floating-point format.

The exact distance between 2ⁿ and the closest machine numbers will depend on the specific floating-point format used, which determines the precision and spacing of the representable numbers.

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Response 1, x^2 - 3x - 10 = 0, is the equation equivalent to the given equation x^2 - 3x = 10

The equation you provided is x^2 - 3x = 10. To find the equivalent equation among the given responses, we need to set the equation to 0. Here's how:
1. Subtract 10 from both sides of the equation:
x^2 - 3x - 10 = 0
Now let's compare this with the given responses:
1. x^2 - 3x - 10 = 0 (Matches the equation we derived)
2. 7x - 10 = 0 (Different equation)
3. x = -5 (Not an equation equivalent to the original)
4. x^2 - 3x + 10 = 0 (Different equation)
Your answer: Response 1, x^2 - 3x - 10 = 0, is the equation equivalent to the given equation x^2 - 3x = 10.

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