Please help me with this math question

Answer:

0.5 if rounded to the nearest tenth

Step-by-step explanation:

The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).

Answer:

I think B.6 is the answer

The volume of the Canada post mailbox is given as follows:

1,152,115.5 cm³.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

Hence the volume of the rectangular bottom is given as follows:

V = 180 x 70 x 85.5

V = 1,077,300 cm³.

The triangular top has a height of 25 cm, hence the volume is obtained as follows:

V = 0.5 x 25 x 70 x 85.5 (multiply by 0.5 as it is a triangle).

V = 74812.5.

Hence the volume is given as follows:

1077300 + 74812.5 = 1,152,115.5 cm³.

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The value of the missing segment n using the product of intersecting chord theorem is 14cm

The product of the segments of two intersecting chords are equal.

The segments of the chords ;

Chord 1 = 4 and n

Chord 2 = 7 and 8

The principle can be related Mathematically thus ;

4 × n = 7 × 8

4n = 56

Divide both sides by 4

4n/4 = 56/4

n = 14

Therefore, the value of n in the question is 14cm

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The value each segment length in right triangle ABC are AD = 6 units, BC = 4 units, AB = 4√3 units and BD = 2√3 units

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

Since AC = 8 and CD = 2.

Thus, AD = AC - CD = 8 - 2 = 6 units

sin 30° = BC/AC

0.5 = BC/8

BC = 0.5 × 8

BC = 4 units

AB = √(8²-4²)   (Pythagoras theorem)

AB = 4√3 units

BD = √(4²-2²)   (Pythagoras theorem)

BD = 2√3 units

Therefore, drag the value of each segment length in the box accordingly

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Answer:

0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30

The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

x = 0.43333......

Multiply the equation by 10 on both sides, then we have

10x = 10 × 0.43333......

10x = 4.33333......                        ...1

Multiply the equation by 100 on both sides, then we have

100x = 100 × 0.43333......

100x = 43.33333......                     ...2

Subtract equation 1 from equation 2, then we have

100x - 10x = 43.3333.... - 4.3333.....

90x = 39

x = 39 / 90

x = 13 / 30

The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.

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a. 93.8% of steers weigh more than 1250 pounds.

b. 46.4% of steers weigh less than 1150 pounds.

c. 12.75% of the steers are between 1000 and 1100 pounds in weight.

The population mean; μ = 1156 pounds.

The population standard deviation; σ = 61 pounds.

z score = (x - μ)/σ

x = weight of the young steers.

Part a:  weight over 1250 pounds.

z = (1250 - 1156)/61

z = 1.54

P(x > 1250) = P(z > 1.54)

use positive z score table.

P(x > 1250) = 0.938

P(x > 1250) = 93.8%

Part b: under 1150 pounds

z = (1150 - 1156)/61

z = -0.098

z = -0.098

P(x < 1150) = P(z < -0.098)

use negative z score table.

P(x < 1150) = 0.464

P(x <1150) = 46.4%

Part c: between 1000 and 1100 pounds

For x = 1000

z = (1000 - 1156)/61

z = -2.55

For x = 1100

z = (1100 - 1156)/61

z = -0.91

P(1000 < x < 1100) =  P(-2.55 < z < -0.91)

P(1000 < x < 1100) = 0.18141 - 0.0539

P(1000 < x < 1100) = 0.12751

P(1000 < x < 1100) = 12.75%

Thus, the probability that steer weight between 1000 and 1100 pounds is 12.75%.

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The formula to calculate the total amount in her savings account after y years, with an interest of 7% is:

Where S is the inicial saving

Thereby, after 5 years and a total of $1000.00 in her account,

Therefore, Norma's initial deposit was $712.99

According to the discrete distribution given, the standard deviation is of: 0.98.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability, hence:

\(E(X) = 0.1296(0) + 0.3456(1) + 0.3456(2) + 0.1536(3) + 0.0256(4) = 1.6\)

The standard deviation is the square root of the sum of the multiplication of each probability and the difference squared between the observation and the mean, hence:

\(\sqrt{V(X)} = \sqrt{0.1296(0-1.6)^2 + \cdots + 0.1536(3-1.6)^2 + 0.0256(4-1.6)^2} = 0.98\)

The standard deviation is of 0.98.

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Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

Wow thats hard

Step-by-step explanation:

though luck

Answer:

\(8 \: - \frac{4 \sqrt{18} }{ \sqrt{5} \times 0 }\)

Step-by-step explanation:

Apply zero property of multiplication

\(8 - \frac{4 \sqrt{18} }{0} \)

The expression is undefined

Answer:

To eliminate a variable, you need to choose a strategy that allows you to add or subtract the equations in such a way that one variable will be eliminated. Let's go through the given options to determine the correct strategy:

A. Multiply the first equation by 2. Then add the equations.

If you multiply the first equation by 2, you get 10x + 6y = 8. If you add this equation to the second equation, you will not be able to eliminate either variable, as the coefficients of x and y do not match.

B. Multiply the first equation by 5 and the second equation by 2. Then add the equations.

If you multiply the first equation by 5, you get 25x + 15y = 20. If you multiply the second equation by 2, you get -4x - 16y = 12. Adding these equations gives you 21x - y = 32. This strategy allows you to eliminate y.

C. Multiply the second equation by 5. Then add the equations.

If you multiply the second equation by 5, you get -10x - 40y = 30. If you add this equation to the first equation, you will not be able to eliminate either variable, as the coefficients of x and y do not match.

D. Multiply the first equation by 2 and the second equation by 5. Then add the equations.

If you multiply the first equation by 2, you get 10x + 6y = 8. If you multiply the second equation by 5, you get -10x - 40y = 30. Adding these equations gives you -34y = 38. This strategy allows you to eliminate x.

Based on the options given, the correct strategy to eliminate a variable in this system of equations is: B.) Multiply the first equation by 5 and the second equation by 2. Then add the equations.

Answer:

35

Step-by-step explanation:

The largest prime less than 50 is 47

The smallest composite number greater than 10 is 12

47 - 12 = 35

Considering the discrete distribution, it is found that the desired measures are given as follows:

a) 0.86.

b) 0.57.

c) 0.45.

d) 0.14.

e) 0.43.

f) 3.02.

g) 1.31.

According to the table, it is given by:

P(X = 1) = 0.14.

P(X = 2) = 0.29.

P(X = 3) = 0.12.

P(X = 4) = 0.31.

P(X = 5) = 0.14.

Item a:

\(P(X \geq 2) = 1 - P(X < 2) = 1 - P(X = 1) = 1 - 0.14 = 0.86\)

Item b:

\(P(X \geq 3) = 1 - P(X < 3) = 1 - P(X = 1) - P(X = 2) = 1 - 0.14 - 0.29 = 0.57\)

Item c:

P(X > 3) = P(X = 4) + P(X = 5) = 0.31 + 0.14 = 0.45.

Item d:

P(X < 2) = P(X = 1) = 0.14.

Item e:

\(P(X \leq 2) = P(X = 1) + P(X = 2) = 0.14 + 0.29 = 0.43\).

Item f:

The mean is given by the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 0.14(1) + 0.29(2) + 0.12(3) + 0.31(4) + 0.14(5) = 3.02.

Item g:

The standard deviation is given by the square root of the sum of the difference squared of each observation and the mean, multiplied by it's respective probabilities, hence:

\(\sqrt{V(X)} = \sqrt{0.14(1-3.02)^2 + 0.29(2-3.02)^2 + 0.12(3-3.02)^2 + ... + 0.14(5-3.02)^2} = 1.31\)

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Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .

In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.

If the trend continues, the number of years till 67% of children born out of wedlock will be:

= (67%  - 28%) / 0.6%

= 65 years

The year will be:

= 1990 + 65

= 2055

The first part of the question is:

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.

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By definition:

- Rational numbers are those numbers that can be written as simple fractions. A fraction has this form:

Where "a" is the numerator and "b" is the denominator. Both are Integers, and:

- Irrational numbers cannot be written as simple fractions.

Then, knowing those definitions, you can identify that:

1. The number:

Since -5 is an Integer, it can be written as:

Therefore, it is a Rational Number.

2. You can identify that the second number is a Repeating Decimal because the line over the decimal digits indicates that its digits are periodic.

By definition, Repeating Decimals are Rational Numbers.

3. Notice that the next number is:

Since it cannot be written as a simple fraction, it is not a Rational Number.

4. For the number:

You can identify that it is a fraction whose numerator and denominator and Integers. Then, it is a Rational Number.

5. Notice that the last number is:

By definition, π is an Irrational Number.

Therefore, the answer is:

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

x>9

Step-by-step explanation:

3x+2−2>29−2

3x>27

divide by 3

3x/3>27/3

The number of years it would take is approximately equal to 53 years.

In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

P(t) = I(1 + r)^t

Where:

By substituting given parameters, we have the following:

96627 = 11211(1 + 0.0418)^t

8.61894567835 = (1.0418)^t

By taking the ln of both sides, we have:

Time, t = ln(8.61894567835)/ln(1.0418)

Time, t = 52.60 ≈ 53 years.

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Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

The best statement that represents the OU daily's null hypothesis is OU Sooners = USC Trojans

What is statement ?

A declarative sentence that can only be true or false—neither—is referred to as a statement. A proposition may also be used to refer to a statement. There must be no uncertainty; this is crucial. A sentence can only be true or untrue, not both, in order to be considered a statement.

A meaningful group of words can be used to form a mathematical assertion, which can either be true or untrue. They are simply referred to as a statement. For example, the word "p" could stand for the phrase "ABC is an equilateral triangle." In an equilateral triangle, p thus equals ABC.

OU daily - predicts that,

the OU Sooners will have a better football season than the USC Trojans

The best represents the OU Daily's null hypothesis is,

∴ OU Sooner = USC Trojans

The null and alternative hypothesis is

Null Hypothesis :

OU Sooner = USC Trojans

Alternative Hypothesis : OU Sooner > USC Trojans

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i think its a because i estimated

Answer:

9+8=17+9+9=18=35+9=44

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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The ratio which is equivalent to 30:20 is option C, 3:2.

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)

where is a common factor (not 1)? This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.

Thus, a = px, b = qx

We have given that a 2-column table has 2 rows. Column 1 is labeled

The Total with entries 30, and 15. Column 2 is labeled Red with entries 20, and 10.

Given ratio is 30:20

Or

3:2

Therefore, we can conclude that the ratio which is equivalent to 30:20 is option C, 3:2.

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Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

Answer:

Step-by-step explanation:

8.008.009