Describe the complement of the given event. 73% of nineteen year old males are at least 166 pounds

Answer:

Step-by-step explanation:

First Use Negative Power Rule: Which is, \(x^-a=\frac{1}{x^a}\)

Then you simplfiy, and your answer will be \(\frac{1}{y^7}\)

Therefore, your answer is \(\frac{1}{y^7}\)

Answer:

V = 8 * 6 * 3

Step-by-step explanation:

The volume of a rectangular prism is given by

V = length * Width * height

V = 8 * 6 * 3

Answer:

Step-by-step explanation:

Given that,

the rectangular prism has ;

As we know,

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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Answer:

its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2

Answer:

When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.

Multiply b^2 * b^3 = b^5  (add the exponent 2 + 3 = 5)

Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)

Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)

b^2 * b*2 = b^4 (add exponents)

7b * b^2 = 7b^3 (add the exponents 1 + 2)

4 * b^2 = 4b^2

              b^2             +               7b             +        4

b^3           b^5              +           7b^4            +   4b^3

+                                                                                      

b^2           b^4             +           7b^3            + 4b^2

b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2

\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)

The solution is, y = 2x + 5+4 when graph would shift by 4 unit.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Given  : y = 2x + 5 .

To find :

If you wanted to shift the graph up what would be equation .

Solution : We have given that y = 2x + 5 .

BY the transformation rule ;

if f(x) +k then graph would shift up by k units .

Then to shift the graph of y = 2x + 5 up we need to add something in 5

Like   y = 2x + 5+4

Then graph would shift by 4 unit.

Therefore,   y = 2x + 5+4 graph would shift by 4 unit.

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Answer:

The answer is 0

Step-by-step explanation:

2 * 2 * 2 = 8

8 * 0.5 = 4

4 - 4 = 0

0 / 2 = 0

Make sure the 0.5 is actually 0.5, because it is hard to tell in that expression. if anything, anything, the steps are the same and all you would need to do is the change the numbers.

Hope this helps :)

The equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

The equation of a circle with center (a,b) and radius r is given by the equation:

(x - a)^2 + (y - b)^2 = r^2

Using the given values, the equation of the circle with center (1/2, 0) and radius 2 is:

(x - 1/2)^2 + (y - 0)^2 = 2^2

Expanding and simplifying, we get:

(x - 1/2)^2 + y^2 = 4 - 1/4

Therefore, the equation of the circle is:

(x - 1/2)^2 + y^2 = 15/4

So, the equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

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Answer:

10 acres

Step-by-step explanation:

Land for coconuts =

\( \frac{3}{8} = \frac{15}{40} \)

Land for bananas =

\( \frac{4}{5} \times \frac{5}{8} = \frac{20}{40} \\ = \frac{4}{8} \\ = \frac{1}{2} \)

Land left for rice =

\( \frac{40}{40} - \frac{15}{40} - \frac{20}{40} = \frac{5}{40} \\ = \frac{1}{8} \)

Land for bananas =

\( \frac{1}{8} = 2.5 \\ \frac{4}{8} = 2.5 \times 4 \\ = 10\)

Answer:

No

Step-by-step explanation:

Simple when u simplify they are not equal

In the question, you were told:

x = # of lines in the ad

y = cost of ad, in dollars

So you're now told 12 lines costs $88.  

How do you write that as an ordered pair?  Do we write ordered pairs as (x,y) or (y,x)?

Answer:

c. P=R-10; 35 million

Step-by-step explanation:

P=R-10, just read what the text says, namely profit = revenue - expenses

P=25, 25=R-10 <=> R=35

Given:

If the given triangles are similar.

The corresponding angles should be congruent.

Both triangles have the same angle 105 degrees.

The second angle is 31 degrees and q.

If triangles are similar then the value of q is 31 degrees.

Using proportions, the commissions are given as follows:

5. a. $200. b. $0. c. $0. d. $200.

6. a. $250. b. $200. c. $0. d. $490.

7. a. $250. b. $800. c. $300. d. $1350.

8. a. $250. b. $800. c. $1250. d. $2300.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item 5, the amount is less than $5,000, hence there is a single commission of 5%, as follows:

0.05 x 4000 = $200.

Hence the amounts are:

a. $200. b. $0. c. $0. d. $200.

For item 6, the commissions are divided as follows:

For a total of $490, as 250 + 240 = 490.

Hence the amounts are:

a. $250. b. $200. c. $0. d. $490.

For item 7, the commissions are divided as follows:

For a total of $1,350, as 250 + 800 + 300 = 1350.

Hence the amounts are:

a. $250. b. $800. c. $300. d. $1350.

For item 8, the commissions are divided as follows:

For a total of $2,300, as 250 + 800 + 1250 = 2300.

Hence the amounts are:

a. $250. b. $800. c. $1250. d. $2300.

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Answer:

a) 5355

b) 6372.45

Step-by-step explanation:

4500 * 1.19 = 5355

5355 * 1.19 = 6372.45

The true statement is,

⇒ The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph shows the taxi fare. y, in is city, for a distance of x kilometers.

Now,

Since, The graph shows the taxi fare. y, in is city, for a distance of x kilometers.

Let two points on the graph are (2, 10) and (4, 16).

Hence, The slope of the line = (16 - 10) / (4 - 2)

                                             = 6/2

                                             = 3

Thus, The equation of line for the graph is,

⇒ y - 10 = 3 (x - 2)

⇒ y - 10 = 3x - 6

⇒ y = 3x - 6 + 10

⇒ y = 3x + 4

For 6 kilometer, the cost is find as;

Substitute x = 6;

⇒ y = 3x + 4

⇒ y = 3 × 6 + 4

⇒ y = 22

Therefore, The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.

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Step-by-step explanation:

To find the present value of an ordinary annuity, we can use the present value of annuity formula:

PV = P * (1 - (1 + r)^(-n)) / r

Where:

PV = Present value

P = Periodic payment

r = Interest rate per period

n = Number of periods

In this case, the periodic payment is $19,692, the interest rate is 4.8% (or 0.048) compounded quarterly, and the number of periods is 3 years, which corresponds to 12 quarters.

Let's plug these values into the formula and calculate the present value:

PV = 19692 * (1 - (1 + 0.048/4)^(-12)) / (0.048/4)

Calculating this expression, the present value of the annuity is approximately $69,995.46 (rounded to the nearest cent).

Therefore, the present value of the ordinary annuity is $69,995.46.

Answer:

  the correct choice is marked

Step-by-step explanation:

The zero-crossings at -3 and +3 tell you that one of the factors is the difference of squares:

  (x +3)(x -3) = x^2 -9

The zero crossing at -1 tells you that x+1 is a factor.

So, the polynomial factors as ...

  f(x) = (x^2 -9)(x +1)

Multiplying this out, we get ...

  f(x) = x^2(x +1) -9(x +1)

  f(x) = x^3 +x^2 -9x -9 . . . . . . matches the first choice

Answer:

Imma say A i'm sorry if it is incorrect

Step-by-step explanation:

I love your pfp btw

Carrie has 4 more pints of paint than Bryan.

Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.

To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.

Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.

Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.

To find the difference, we subtract Bryan's pint quantity from Carrie's:

24 - 20 = 4 pints.

Therefore, Carrie has 4 more pints of paint than Bryan.

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Answer:

<7

Step-by-step explanation:

Answer:

<7

Step-by-step explanation:

I think anything across wouldnt be congruent

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Answer:

No it is not since there is 15 defectice parts in 2machines and there is 8 broken parts in the one machine

Hope This Helps!!!

Answer:

Step-by-step explanation:

Step 1.   Determine the dollar amount of the markup

          175 - 79 = 96

Step 2:   Divide the markup Amount by the Cost

          96/79 = 1.215

Step 3:   Multiply by 100 and add the % sign

           1.215 x 100 = 121.5%

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer:

The first number lets say is x

the second is y so

y=1/2x+8

x+1/2x+8=58

1 1/2x=50

x= 33 1/3

Hope This Helps!!!

Answer: The two numbers are whose sum is 58 and difference is 28 are 15 and 43

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Hello, please consider the following.

For any a and b real numbers we can write.

\((a-b)(a+b)=a^2-b^2\)

We apply this formula two times here, as below.

\((x+1)(x^{2}+1)(x-1)=(x+1)(x-1)(x^{2}+1)\\\\=(x^2-1^2)(x^2+1)=(x^2-1)(x^2+1)\\\\=(x^2)^2-1^2=x^4-1\)

We have the coefficient of 1 for \(x^4\) and the constant term is -1, so the sum of the coefficients is 0.

Thank you.

Answer:

1

Step-by-step explanation:

(x + 1)(x² + 1)(x - 1)

= (x³ + x + x² + 1)(x - 1)

= x^4 - x³ + x² - x - x³ - x² + x - 1

= x^4 - 1

Coefficient of x^4 = 1