You need to put your reindeer, Prancer, Quentin, Rudy, and Jebediah, in a single-file line to pull your sleigh. However, Rudy and Prancer are best friends, so you have to put them next to each other, or they won't fly.

Answer:

x=2

Step-by-step explanation:

1 + 4x = -5 + 7x

Subtract 4x from each side

1 + 4x-4x = -5 + 7x-4x

1 = -5+3x

Add 5 to each side

1+5 = -5+5+3x

6 = 3x

Divide each side by 3

6/3 = 3x/3

2 =x

Final answer:

To calculate the chocolate per person, divide 1.5 pounds by 5 people, resulting in 0.3 pounds of chocolate per person.

Explanation:

To find the unit rate of chocolate per person, we divide the total amount of chocolate by the number of people:

Start with 1 and 1/2 (or 1.5) pounds of chocolate for 5 people.

Divide 1.5 pounds by 5 people to find the amount each person eats.
1.5 pounds ÷ 5 people = 0.3 pounds per person.
So, each person eats 0.3 pounds of chocolate.

The statement which is true regarding the values of x and y is option C; x=y+360n , for any positive integer n.

The algebraic sum of Coterminal angles at a point is 360°.

From the given information;

Angle x is coterminal with angle y.

If the measure of angle x is greater than the measure of angle y.

Then, the statement which is correct is will be as;

x = y + 360n , for any positive integer n.

Read more on coterminal angles;

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Answer:

A

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

Answer:

Speed = Distance / Time

Distance = Speed x Time

Bus: 15 x 40 = 600 m

Clever: 600 / 60 = 10 minutes

Answer = 10 mins

Step-by-step explanation:

hope it helps:) brainlest?!

Answer:21y^4= B*7y^3

B=(21y^4)/(7y^3)

B=3y

i think this is correct

Answer: displacement is a measure that includes direction

Displacement is the difference between a starting point and a ending point

Displacement is measured as a straight line between a starting point and an ending point

Step-by-step explanation:

Answer:

$2431

Step-by-step explanation:

First we need to find the area

A = l*w

A = 13*17

A =221 ft^2

It cost 11 dollars per square foot so multiply the price times the number of square ft

221*11 =2431

The total cost will be 2431

Final answer:

Heather's new carpet for her rectangular living room floor will cost $2431. This is obtained by calculating the area of the room (221 square feet) and multiplying it by the cost per square foot ($11).

Explanation:

Heather wants to buy new carpet for her living room floor, which is a rectangle with a length of 17 feet and a width of 13 feet. To find out how much the carpet will cost, we need to calculate the area of the floor and then multiply it by the cost per square foot.

First, calculate the area of the floor by multiplying the length by the width:

Area = Length × Width

Area = 17 feet × 13 feet

Area = 221 square feet

Next, multiply the area by the cost of carpet per square foot:

Total cost = Area × Cost per square foot

Total cost = 221 square feet × $11/square foot

Total cost = $2431

Therefore, the carpet will cost Heather $2431 for her living room floor.

Answer:

B

Step-by-step explanation:

It's a trapezoid. The top and bottom sides sum is 18+12 which is 30. the height is 10 and the equation would be 30 times 10 times 1/2. The answer would then be 150.

Answer:

b

Step-by-step explanation:

Answer:

A =32 units^2

Step-by-step explanation:

This figure is a trapezoid

We can find the area from

A = 1/2(b1+b2)h  where b1 and b2 are the base length and h is the height

A = 1/2(4+12) *4

A = 1/2 (16)*4

A =32 units^2

Answer: 1040-A

Step-by-step explanation:

Tax form 1040 is an Internal Revenue Service form that an individual is required to file for a federal income tax return.

One of the shortened form of Tax form 1040 is the 1040-A.

1040-A form enables one to claim some adjustment. This include filing as an household head instead of a single person, claiming dependent and retirement savings, tax deductions, earned income, education, etc.

Form 1040-A is appropriate for the couple as it would allow them have a joint tax return and make tax deductions on their student loans.

Answer:

the other person was correct

The answer is D on edg2020

Final answer:

To find the probability that the sample mean is between two hours and three hours, calculate the z-scores and use the z-table to find the probability.

Explanation:

To find the probability that the sample mean is between two hours and three hours, we need to calculate the z-scores corresponding to these values and use the z-table to find the probability.

First, we calculate the z-score for two hours:

z = (2 - 2.5) / (0.25 / sqrt(60)) = -3.16

Next, we calculate the z-score for three hours:

z = (3 - 2.5) / (0.25 / sqrt(60)) = 3.16

Using the z-table, we find that the probability of getting a z-score between -3.16 and 3.16 is approximately 0.9986. Therefore, the probability that the sample mean is between two hours and three hours is approximately 0.9986.

]

The  volume of the cylinder is 452.16 cubic centimeter

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cylinder

Radius of cylinder is 4cm and height is 9cm

The formula for volume of cylinder = πr²h

Plug in the values of r and h

Volume = π(4)²(9)

= π×16×9

=3.14×16×9

=452.16 cubic centimeter

Hence, the  volume of the cylinder is 452.16 cubic centimeter

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The approximate volume of a cylinder with a radius of 4 cm and a height of 9 cm is 452.16 cm³, using the formula V = πr²h with π approximated as 3.14.

Calculating the Volume of a Cylinder

To find the approximate volume of a cylinder with a radius of 4 cm and a height of 9 cm using 3.14 for π, you can use the formula for the volume of a cylinder, which is V = πr²h. In this case, V = 3.14 × (4 cm)² × 9 cm.

First, calculate the area of the base (which is a circle) by squaring the radius and multiplying by π: Area = π × r² = 3.14 × 4² = 3.14 × 16 = 50.24 cm². Next, multiply the area of the base by the height of the cylinder to get the volume: Volume = Area × Height = 50.24 cm² × 9 cm = 452.16 cm³.

Therefore, the approximate volume of the cylinder is 452.16 cm³.

Answer:

c on ed

Step-by-step explanation:

just took the unit test

Answer:

The answer is c

Step-by-step explanation:

98 - x² = 0

x² = 98

x = ±√98

Lets factor 98

98 | 2

49 | 7

7 | 7

1

So, 98 = 2 . 7 . 7 = 2 . 7²

x = ±√2.7²

x = ±7√2

Hope this helps!!!

Answer:

6, 8, 10

8, 15, 17

3, 4, 5

5, 12, 13

are the right answers

Step-by-step explanation:

Answer:

(9, -7)

Step-by-step explanation:

[tex]x^2+y^2+18x+14y+105=0\\[/tex]

Rearrange like x and y terms next to each other, then complete the square on both.

[tex](x-9)^2-361 + (y+7)^2 - 49 + 105 = 0[/tex]

The negative of the # numbers instead the brackets give you the centre of the circle.

The given equation does not represent a circle because the radius is an imaginary number.

The given equation represents a circle in the Cartesian coordinate plane. The general form of a circle equation is (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r is the radius. By rearranging the equation, we can find the centre by completing the square for both x and y.

For the given equation, x² + y² + 18x + 14y + 105 = 0, we complete the square for x by adding (18/2)² = 81 to both sides of the equation and for y by adding (14/2)² = 49 to both sides of the equation. This gives us:

(x² + 18x + 81) + (y² + 14y + 49) + 105 - 81 - 49 = 0

(x + 9)² + (y + 7)² = -175

The equation (x + 9)² + (y + 7)² = -175 does not represent a circle because the radius, which is the square root of -175, is an imaginary number. Therefore, the given equation does not have a real centre or radius.

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The probability of a hummingbird flapping its wings more than 151 times per minute is close to 0, the percentage of hummingbirds flapping between 141 and 149 times per minute can be found using the standard normal distribution table or calculator and a hummingbird flapping its wings 147 times per minute is in the 84th percentile.

To solve these problems, we'll use the properties of the normal distribution.

Part A:

We'll standardize the value of 151 using the formula for z-score:

[tex]\( z = \frac{{X - \mu}}{{\sigma}} \)[/tex]

[tex]\( z = \frac{{151 - 145}}{{2}} = \frac{6}{2} = 3 \)[/tex]

Now, we find the probability corresponding to z = 3 using a standard normal distribution table or calculator. The probability of a value being more than 3 standard deviations above the mean is very low, close to 0.

Part B:

We standardize 141 and 149 similarly:

[tex]\( z_{141} = \frac{{141 - 145}}{{2}} = -2 \)[/tex]

[tex]\( z_{149} = \frac{{149 - 145}}{{2}} = 2 \)[/tex]

Then, we find the area between these two z-scores using the standard normal distribution table or calculator. It represents the percentage of hummingbirds flapping between 141 and 149 times per minute.

Part C:

To find the percentile for 147 flaps per minute, we standardize it:

[tex]\( z = \frac{{147 - 145}}{{2}} = 1 \)[/tex]

Then, we find the area to the left of z = 1 using the standard normal distribution table or calculator. This area represents the percentile.

Answer:

I = Prt

I = 1500(.118)(2) = 354

Total amount to pay = $1854

Monthly payment = $77.25

Step-by-step explanation:

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Answer:

x2-x1/y2-y1

-2--2/3-9=-2+2/3-9

=0/-3

Answer:

How Fast something is going say like a car or a chart that tell how much the people you live around like that surtitle thing

Step-by-step explanation:

Answer:

14 m

Step-by-step explanation:

We are given that

Height of tree=AB=12 m

[tex]\theta=40^{\circ}[/tex]

We have to find the distance from the spotlight to the base of the tree.

We know that

[tex]tan\theta=\frac{perpendicular\;side}{base}[/tex]

[tex]\frac{AB}{BC}=tan40[/tex]

[tex]\frac{12}{BC}=tan40[/tex]

[tex]BC=\frac{12}{tan40}=14.3\approx 14[/tex]

Hence, the distance from the spotlight to the base of the tree=14 m

Step-by-step explanation:

It is a right angled triangle so with reference angle 37°

hypotenuse (b) = 10

perpendicular (p) = x

So

tan 37° = p/ b

0.75 = x / 10

x= 0.75/10

Therefore x = 0.075

Hope it will help you :))

The value of n in given proportion is 16

Solution:

We have to find the value of "n" in the proportion

Given proportion is:

[tex]\frac{n}{28} = \frac{4}{7}[/tex]

We can solve the above proportion by cross-multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable

[tex]->\frac{n}{28} = \frac{4}{7}[/tex]

[tex]-> 7 * n = 4 * 28[/tex]

[tex]-> n = \frac{4 * 28}{7}[/tex]

[tex]-> n = 4 * 4 = 16[/tex]

Thus the value of n in given proportion is 16

Answer:

the value of n in given proportion is 16

Step-by-step explanation:

Final answer:

The population of the United States grew from around 5 million in 1800 to approximately 281 million in 2000, with growth rates declining over time due to lower birth rates and increasing reliance on immigration.

Explanation:

The population growth of the United States from 1800 to 2000 showcases remarkable changes over two centuries. Starting with the beginning of the 19th century, the US population was around 5 million and by the year 2000, it had grown to approximately 281 million according to the decennial census data. This substantial increase can be attributed to various factors including immigration, natural growth, and economic prosperity.

During the early 1800s, the population saw a significant surge, increasing by 38% between 1800 and 1810. However, as time progressed, the growth rate began to slow down. Between 1900 and 1910, the growth rate was at 21%, and it further reduced to 10% between 2000 and 2010. The declining growth rates in the later years are linked to a decrease in the total fertility rate (TFR), which at 1.9, is below the replacement rate of 2.1. The nation's population started to rely more on immigration for its growth as the birth rates declined.

In terms of economic impact, the period between 1850 and 1860 is noted for its astounding economic growth despite political tensions, where the nation's wealth and various economic indicators such as farm value and product manufacturing saw increases surpassing 100%.

Answer:

P(Q or C) = 0.25

Step-by-step explanation:

We are given the following in the question:

Letters:

A, C, Q, U, A, I, N, T, A, N, C, E

Total number of observations, n  = 12

We have to find the probability that a randomly selected letter is Q or C.

Formula:

[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]

P(Q or C) =

[tex]=\dfrac{\text{n(Q or C)}}{n} = \dfrac{3}{12} =0.25 = 25\%[/tex]

Thus,

P(Q or C) = 0.25

Answer:

D. [0,pi/2]

Step-by-step explanation:

when Ф = 0 in radian

r²=  4cos (2(0))

r² = 4 * 1

r² = 4

∴ r = √4 = 2

r = 2.

when Ф = π/2 in radian

r²=  4cos (2(π/2))

r² = 4 * -1

r² = -4

∴ r = 0

Answer:

fraction which has a terminating decimal as its decimal expansion is:

1/5

Step-by-step explanation:

We are given 4 fractions:

1/3 , 1/5 , 1/7 and 1/9

We have to find which fraction has terminating decimal.

1/3 = 0.33333...

1/5 = 0.2

1/7 = 0.142857142857...

1/9 =0.11111.....

Hence, fraction which has a terminating decimal as its decimal expansion is:

1/5

Final answer:

A fraction will have a terminating decimal if its denominator is a power of 2, a power of 5, or a combination of both since the base of our number system is 10. Examples like 1/8 and 5/16 have terminating decimals because their denominators are powers of 2.

Explanation:

A fraction will have a terminating decimal expansion if its denominator can be written in the form 2n5m, where n and m are nonnegative integers. This is because the base of our number system is 10, which is 2×5. So any fraction with a denominator that is a factor of a power of 10 will have a terminating decimal expansion.

Example:

In contrast, a fraction like 1/3 does not have a prime factorization that matches the form 2n5m and therefore has a non-terminating decimal expansion (0.333...).

Answer: B

Step-by-step explanation:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

Answer:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Let the number of allowable guess be x.

The difference between allowable guess and 645 must not exceed 20.

So, either,

|645 - x| ≤ 20

Or

|x - 645| ≤ 20

where that sign represents the absolute sign.

Hope this Helps!!!

Answer:

| x - 645 | = 20

665

Step-by-step explanation:

We have to guess the amount of beans in a jar to be within 20 of the actual number.

Therefore, the total has to be equal to 20.

We know that the equation required to calculate the minimum and maximum quantity of beans that will win the contest will be:

| x - 645 | = 20

But as we want is the maximum, we break the absolute value and assume "+"

Thus:

x - 645 = 20

fixed for x:

x = 20 + 645

x = 665

The maximum guess you could win is 665

If the sample mean is close to 32 ounces or the sample standard deviation is large, it is less likely that we will reject the null hypothesis.

To determine if there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces, we would conduct a hypothesis test. The null hypothesis (H0) would state that the mean amount of milk in cartons is at least 32 ounces, while the alternative hypothesis (Ha) would state that the mean amount is less than 32 ounces.

The null hypothesis: [tex]\( H_0: \mu \geq 32 \)[/tex]

The alternative hypothesis: [tex]\( H_a: \mu < 32 \)[/tex]

Here is the step-by-step process to conduct the hypothesis test:

1. **Identify the sample mean [tex](\( \bar{x} \))[/tex] and the sample standard deviation (s).** These values would be calculated from the sample of 22 cartons.

2. **Calculate the test statistic (t-score).** The formula for the t-score in a one-sample t-test is:

[tex]\[ t = \frac{\bar{x} - \mu_0}{\frac{s}{\sqrt{n}}} \][/tex]

where [tex]\( \mu_0 \)[/tex] is the hypothesized mean (32 ounces in this case), [tex]\( \bar{x} \)[/tex] is the sample mean, [tex]\( s \)[/tex] is the sample standard deviation, and [tex]\( n \)[/tex] is the sample size.

3. **Determine the degrees of freedom (df).** For a one-sample t-test, the degrees of freedom are [tex]\( n - 1 \)[/tex], where [tex]\( n \)[/tex] is the sample size. In this case, [tex]\( df = 22 - 1 = 21 \)[/tex].

4. **Find the critical t-value or p-value.** Using the degrees of freedom, we can find the critical t-value from a t-distribution table or calculate the p-value. The significance level (α) is typically set at 0.05 for such tests.

5. **Make a decision.** If the test statistic is less than the critical t-value or if the p-value is less than α, we reject the null hypothesis in favor of the alternative hypothesis. This would mean there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces.

6. **Calculate the p-value.** The p-value is the probability of observing a sample mean at least as extreme as the one observed, assuming the null hypothesis is true. It can be calculated using statistical software or a t-distribution table.

7. **Report the results.** If the p-value is less than α, we report that there is sufficient evidence to conclude that the mean amount of milk in cartons is less than 32 ounces. If the p-value is greater than α, we report that there is not enough evidence to conclude that the mean amount is less than 32 ounces.

Without the actual sample data (sample mean and sample standard deviation), we cannot perform the calculations or make a conclusion. However, if the sample mean is substantially less than 32 ounces and the sample standard deviation is small, it is more likely that we will reject the null hypothesis. Conversely, if the sample mean is close to 32 ounces or the sample standard deviation is large, it is less likely that we will reject the null hypothesis.