Solve the conversion using a proportion.

1 lb = 0.45 kg

How many pounds are in 90.9 kilograms?
A. x = 202 pounds
B. x = 295 pounds
C. x = 241 pounds
D. x = 227 pounds

Answer: Type I error and Type II error are associated with hypothesis testing, where we test a hypothesis by collecting data and analyzing it.

For the given hypothesis, we can set up the null hypothesis as follows:

H0: The percentage of households with Internet access is less than or equal to 60%.

And the alternative hypothesis as:

Ha: The percentage of households with Internet access is greater than 60%.

Now, a Type I error occurs when we reject the null hypothesis (i.e., conclude that the percentage of households with Internet access is greater than 60%) when it is actually true. This means that we would be making a false claim that the percentage of households with Internet access is greater than 60%, when it is not.

On the other hand, a Type II error occurs when we fail to reject the null hypothesis (i.e., conclude that the percentage of households with Internet access is less than or equal to 60%) when it is actually false. This means that we would be missing the truth that the percentage of households with Internet access is greater than 60%.

So, in the context of the given hypothesis, a Type I error would be to conclude that the percentage of households with Internet access is greater than 60% when it is actually less than or equal to 60%, and a Type II error would be to fail to conclude that the percentage of households with Internet access is greater than 60% when it is actually greater than 60%.

Answer:

The required ratio is 1 : 3.

Step-by-step explanation:

Let the length is L, width is W and the height is H.

Volume of the prism is

V = LW H

Volume of the pyramid

V' = 1/3 L W H

Ratio of volume of pyramid to the prism is

\(\frac{V'}{V} = \frac{1}{3}\)

Answer:

D. 3

Step-by-step explanation:

sub 3 into problem you get a zero

The total price for the nails is $ 12.71.

Since at the hardware store, you purchase a box of nails originally worth $ 14.99, and you have a coupon for 20% off the nails, and sales tax is 6%, to determine what is the total cost for the nails, the following calculation must be made:

Therefore, the total price for the nails is $ 12.71.

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Sales tax:-6%

Coupon=20%

Net discount=20-6=14%

Total cost

\(\\ \sf\longmapsto 14.99-0.14(14.99)\)

\(\\ \sf\longmapsto 14.99-2.09\)

\(\\ \sf\longmapsto 12.9\$\)

The value of the input of the function, f(x) = (-1/3)·x + 7, that would result an output of 2/3 is; x = 19

An input value is a value that is put into a function, upon which the rule or definition of the function is applied to produce an output.

The possible function in the question, obtained from a similar question on the site is; f(x) = (-1/3)·x + 7

The two column table, from the question can be presented as follows;

x    \({}\)      f(x)

-3  \({}\)       8

-1\({}\)         22/3

1 \({}\)         20/3

3\({}\)         6

The required output based on the value of the input, obtained from the similar question is; 2/3

The function in the question indicates that the required input can be obtained as follows;

f(x) = (-1/3)·x + 7 = 2/3

Therefore;

(-1/3)·x = 2/3 - 7 = -19/3

x = -19/3/(-1/3) = 19

The input value that would give an output of 2/3 is; x = 19

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Answer:

Mary gets 273 and Carol Gets 247

Step-by-step explanation:

bhvjhgfhjnmkjnhbgvfcvgbhj

The equation that has the solutions x = 5 ± 2√7/3 is: \(3x^2 - 30x + 47 = 0.\)

To determine which equation has the solutions x = 5 ± 2√7/3, we can compare the given solutions with the quadratic equation in general form: ax² + bx + c = 0.

Let's solve for x in terms of a, b, and c:

Given solutions: x = 5 ± 2√7/3

Comparing this equation with the general quadratic form, we have:

a = 3

b = -30

c = 47

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Cos L as a fraction in simplest terms is equal to √803 / 121

The mathematical subject of trigonometry is the study of the connections between the angles and sides of triangles.

It entails investigating trigonometric functions like sine, cosine, and tangent, which relate a triangle's angles to its sides' lengths.

To find cos L, we need to use the ratio of the adjacent side to the hypotenuse in the right triangle LMN.

cos L = LM / LN

We know that LM = √73 and LN is the hypotenuse of the triangle, which can be found using the Pythagorean theorem:

LN = √(LM² + MN²)

= √(73 + 48)

= √121

= 11

Therefore, cos L = LM / LN = √73 / 11.

To simplify this fraction, we can rationalize the denominator by multiplying the numerator and denominator by 11:

cos L = √73 / 11 × 11 / 11

= √(73 × 11) / 121

= √803 / 121

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Answer:

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

and

So x can be 3 or 4.

So the age is 48.

Answer:

the answer is this hope it helps

Answer: 1/26

Step-by-step explanation:

Out of the 52 card deck there is a single Jack of diamonds and a single ace of clubs. Their individual probabilities are therefore both 1/52.

For the probability that you can pick either of those card you have to add up their probabilities;

= 1/52 + 1/52

= 2/52

= 1/26

Given data:

The number of red drops for first batch are r=100.

The number of blue drops for first batch are b=20.

The number of red drops for second batch are r'=75.

The number of blue drops for second batch are b'=15.

The expression for the red per blue drop for first batch is,

n=r/b

Substitute the given values in the above expression.

n=100/20

=5

The expression for the red drop per blue drop of the second batch is,

n'=r'/b'

Substitute the given values in the above expression.

n'=75/15

=5

Thus, yes the ratio of red to the blue drop is same for both batches.

Answer:

A. x= -5

B. x= 8

Step-by-step explanation:

A. 25 - 3x = 40

-3x = 40 - 25

-3x = 15

x= 15/-3

x= -5

B. 2 (x-10) =  -4

x-10 = -4/2

x-10 = -2

x = 8

A. 25 - 3x = 40

         -3x = 40 - 25

               = 15

            -x = 15/3

             x = -5

   Checking

    25 - 3*-5 = 40

    25 + 15 = 40

            40 = 40

       LHS = RHS

B. 2(x-10) = -4

    2x - 20 = -4

            2x = -4 +20

             x = 16/2 = 8

Hope u understand

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Thank You

Answer:

56 adult tickets were sold that day

Step-by-step explanation:

let a represent number of adult tickets sold and c number of child tickets sold , then

a + c = 122 → (1)

9.1a + 5.7c = 885.8 → (2)

from (1) subtract c from both sides

c = 122 - a

substitute c = 122 - a into (2)

9.1a + 5.7(122 - a) = 885.8

9.1a + 695.4 - 5.7a = 885.8

3.4a + 695.4 = 885.8 ( subtract 695.4 from both sides )

3.4a = 190.4 ( divide both sides by 3.4 )

a = 56

that is 56 adult tickets were sold that day.

r = (sin theta + C)^(-1) where C is an arbitrary constant of integration.

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation. Assuming that a function's rate of change with regard to x is inversely proportional to y, we may write it down as dy/dx = k/y.

r = (cos(theta) - d/d(theta) of sec(theta)) / sec(theta)

The differential equation assists us in presenting a relationship between the changing quantity with respect to the change in another variable. The derivative represents nothing more than a rate of change. Be a function with the form: y=f(x), where x is an independent variable, f is an unknown function.

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Answer:

0.2

Step-by-step explanation:

If it takes 10 seconds to move 1 centimetres, and you want to know about 2 seconds, you can divide by 5 on both sides.

1/5 = 0.20

It takes 2 seconds to move 0.2 centimetres (aka 20 milimetres).

The snail will travel 0.2 centimetre in 2 seconds.

it takes the snail 10 seconds to move 1 centimetre. The means in every 10 seconds the snail moves 1 centimetre.

The distance the snail can cover in 2 seconds can be computed below:

10 seconds = 1 cm

2 seconds = ? cm

cross multiply

distance it takes the snail to travel in 2 seconds = 2 / 10

distance it takes the snail to travel in 2 seconds = 1 / 5

distance it takes the snail to travel in 2 seconds = 0.2 cm

Therefore, the snail will travel  0.2 cm in 2 seconds .

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Answer: 1:8

Step-by-step explanation:

13 tables

104 chairs

Ratio: 13:104

divide both sides by 13

13:104 = 1:8

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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Answer:

m = 2/3

Step-by-step explanation:

sorry if its wrong

Answer: 25

Step-by-step explanation:

The probability that Team A wins the best-of-five series over Team B is 17/81.

To determine the probability that Team A wins the best-of-five series against Team B, we need to consider the different possible outcomes. Team A can win the series by winning 3 games or 4 games or 5 games.

The probability of winning exactly 3 games out of 5 can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

where n is the total number of games (5 in this case), k is the number of games won (3 in this case), and p is the probability of winning a single game (1/3).

Using this formula, we can calculate the probability of winning 3 games, 4 games, and 5 games, and then add them together to get the overall probability of winning the series.

P(Winning series) = P(X = 3) + P(X = 4) + P(X = 5)

= C(5, 3) * \((1/3)^3\)* \((2/3)^2\)+ C(5, 4) *\((1/3)^4\) * (2/3) + C(5, 5) * \((1/3)^5\)

= (10 * 1/27 * 4/9) + (5 * 1/81 * 2/3) + (1 * 1/243)

= 40/243 + 10/243 + 1/243

= 51/243

= 17/81

Therefore, the probability that Team A wins the best-of-five series over Team B is 17/81.

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The answer would be:

-2a^2

Answer:

I need brainlist too.... but the answer is the second on

Answer:

1.  (12,−5)⋅(5,6)

2. (−5,8)+(2,4)

3. (12,−5)−(5,6)

Answer:

  2/3

Step-by-step explanation:

The given equation is in the form ...

  y = mx + b

The values of m and b in your equation are ...

  slope = m = 2/3

  y-intercept = b = 5

The slope of the line described by the given equation is 2/3.

Based on an 80% learning curve and the given information that the second plane took 20,000 hours to produce, the time required for the fourth unit is approximately 10,714 hours.

The learning curve concept suggests that as cumulative production doubles, the time required to produce each unit decreases by a certain percentage. In this case, the learning curve is 80%, meaning that the time required to produce each subsequent unit decreases by 20%.
To determine the time required for the fourth unit, we can use the learning curve formula:
Time for nth unit = Time for the first unit * (n^log(learning curve))
Given that the second plane took 20,000 hours to produce, we can use this information to calculate the time for the fourth unit:
Time for fourth unit = 20,000 * (4^log(0.8))
Evaluating the expression, we find that the time required for the fourth unit is approximately 10,714 hours.
Therefore, according to the 80% learning curve, the fourth unit would require approximately 10,714 hours to produce.

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Answer:

\({ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} \)

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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Answer:

2nd Graph

Step-by-step explanation:

If it's a direct proportional relationship, the the 2nd graph is your best choice. Usually renting stuff keeps increasing in price (like a linear graph) as businesses want to make money continuously. Besides, it's charged by the hour, with an increase of price proportional to the amount of hours, so it is a linear equation.

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are equal. So we can set the two opposite angles equal to each other and solve for x:

17x + 3 = 19x - 5

Simplifying the equation, we get:

-2x = -8

Dividing both sides by -2, we get:

x = 4

Therefore, for ABCD to be a parallelogram, x must be equal to 4.