please help I dont understand

Speed of the given object in centimeters per hour

= 0.23 cm / hour

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Given,

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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The lower triangle of a matrix is the area of the matrix that is below the main diagonal. It consists of all elements on and below the main diagonal (i.e. elements aij, where i>j). The elements in the lower triangle are often referred to as the "lower elements" or "lower entries".

A matrix can be divided into two main parts: the upper triangle (above the main diagonal) and the lower triangle (below the main diagonal). The lower triangle is made up of all the elements of the matrix that are on or below the main diagonal. For example, if we have the following matrix:

Where L is the lower triangle of the matrix A, and U is its upper triangle.

In conclusion, the lower triangle of a matrix is an area of the matrix below the main diagonal, which is useful for various operations, such as solving linear equations, calculating determinants, finding eigenvalues, and computing inverse matrices.

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The correct answers are:

Positive, because as the quantity of water within the pond increases, the quantity of habitat will increase. There is a strong terrible courting indicating that with a boom within the age of male adults, there may be an associated lower in the amount of hair on the top. Plot 1: r = 0.96, Plot 2: r = -0.87

In reading the relationship between the amount of water (X) in a fishpond and the quantity of habitat (Y), we'd anticipate the correlation between X and Y to be tremendous. This is because as the amount of water inside the pond will increase, it gives more sources and areas for the habitat to thrive, ensuing in an increase in the extent of habitat.

Regarding the correlational examination on person men with the variables of age (X) and amount of hair on the pinnacle (Y), a correlation coefficient of r = -0.80 indicates a robust poor courting.

This means that as the age of male adults will increase, there's a related decrease in the quantity of hair on the top. The poor correlation indicates that older males generally tend to have less hair on their heads as compared to younger men.

For the two plots furnished, the quality matches for the correlation coefficients are:

Plot 1: r = 0.96

Plot 2: r = -0.87

These correlation coefficients imply a strong effective courting in Plot 1 and a robust terrible courting in Plot 2, respectively.

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The correct question is:

"Suppose you are in studying the relationship between the amount of water (X) in a fish pond and the volume of habitat (Y). You would expect the correlation between X and Y to be because O, because we cannot determine without data. Positive, because as the amount of water in the pond increases the volume of habitat increases Positive, because as the amount of water in the pond increases the volume of habitat decreases. Positive, because as the amount of water in the pond increases the volume of habitat decreases. Negative, because as the amount of water in the pond increases the volume of habitat decreases. Suppose you conducted a correlational study on adult males with the variables of age (x) and amount of hair on the head (Y). Your study revealed a correlation coefficient r = -0.81. What will be your interpretation for this result? There is a strong positive relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. There is a weak positive relationship indicating with an increase in age of male adults there is an associated increase in amount of hair on the head. There is a weak negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. The relationship between age of male adults and the amount of hair on the head is curvilinear There is a strong negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. Based on the two plots provided below, match the correlation coefficients that best describe the two plots. Plot 1 Plot 2 3 10 11 2 2 9 Plot 1 = -0.002, Plot 2 = -0.80 Plot 1 = 0.96, Plot 2 = -0.87 Plot 1 = 0.96. Plot 2 - 0.40"

The probability that Charles and Elaine will have a baby with cystic fibrosis is 1/6.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Charles was married once before, and he and his first wife had a child who has cystic fibrosis.

This means,

Charles genes = (N, D)

N = normal allele

D = disease allele

Now,

Charles nor Elaine have the disease.

The brother of his current wife, Elaine dies due to the disease.

This means,

Elaine genes = (N, D) or (N, N)

Now,

The possible outcomes of the child of Charles and Elaine.

(N, D) x (N, D)

= (N, N), (N, D), (N, D), (D, D)

(N, D) x (N, N)

= (N, N), (N, N), (N, D), (N, D)

(D, D)  is a diseased child.

Thus,

The probability is 1/6.

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Answer:

Step-by-step explanation:

"rise" is 10 units

"run" is 6 units

m = \(\frac{rise}{run}\) = \(\frac{10}{6}\) = \(\frac{5}{3}\)

m = \(\frac{5}{3}\)

The set of expressions that is NOT an example of the associative property is B. (8 - 2) + 3 and 8 + (-2 + 3).

The associative property states that the way you group numbers when adding or multiplying does not change the result. For example, (8 + 2) + 3 is the same as 8 + (2 + 3). However, the associative property does not apply to subtraction or division. Therefore, (8 - 2) + 3 is not the same as 8 + (-2 + 3).

Besides associative property, there are 3 other mathematical properties that only works on adding and multiplying. They are:

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Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

Answer:

Step-by-step explanation:

Given,f(x)=3x^2-x+2

now,f(-4)=3(-4)^2-(-4)+

=3(16)+4+2

=48+4+2

=54

So,f(-4) =

Answer:

The solution is 54

Step-by-step explanation:

f(x) = 3x²-x+2

f(-4) = 3(-4)²-(-4)+2

f(-4) = 48+4+2

f(-4) = 52+2

f(-4) = 54

Answer:

34

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

71 = z+37

Subtract 37 from each side

71 -37 =z

34 =z

Step-by-step explanation:

\(thank \: you\)

Answer:

What technology devices do you use everyday?

Step-by-step explanation:

Christian is trying to see which technology device is the most popular. The first question doesn't ask about different types of technology devices, but rather the amount of time spent on them. The second asks what they are used for and the third asks if you have a technology device. Neither of these questions answers which device is the most popular, except for the fourth or last option. Which technology devices are used everyday can help him see which one is the most popular.

Answer:

What technology devices do you use everyday?

Step-by-step explanation:

Christian is trying to see which technology device is the most popular. The first question doesn't ask about different types of technology devices, but rather the amount of time spent on them. The second asks what they are used for and the third asks if you have a technology device. Neither of these questions answers which device is the most popular, except for the fourth or last option. Which technology devices are used everyday can help him see which one is the most popular.

Therefor, the length of mantel in blueprint is > 30 ft

width of the mantel in the blueprint 8ft×2inc/1ft=16inch

The term "width" refers to the length from side to side of anything. For instance, the shorter side of a rectangle would be the width.

we know that

[scale]=[blueprint]/[actual]-------> [actual]=[blueprint]/[scale]

[scale]=3/5 in/ft

for [wall blueprint]=18 in

[wall actual]=[wall blueprint]/[scale]-------> 18/(3/5)----> 30 ft

Part A)

the actual wall is 30 ft  long

Part B) window has actual width of 2.5 ft

[ window blueprint]=[scale]*[actual window]-----> (3/5)*2.5----> 1.5 in

the width of the window in the blueprint is 1.5 in

Part C) Complete the table

For [blueprint length]=4 in

[actual length]=[blueprint length]/[scale]-------> 4/(3/5)----> 20/3 ft

For [blueprint length]=5 in

[actual length]=[blueprint length]/[scale]-------> 5/(3/5)----> 25/3 ft

For [blueprint length]=6 in

[actual length]=[blueprint length]/[scale]-------> 6/(3/5)----> 30/3=10 ft

For [blueprint length]=7 in

[actual length]=[blueprint length]/[scale]-------> 7/(3/5)----> 35/3 ft

For [actual length]=6 ft

[blueprint length]=[actual length]*[scale]-------> 6*(3/5)----> 18/5 in

For [actual length]=7 ft

[blueprint length]=[actual length]*[scale]-------> 7*(3/5)----> 21/5 in

For [actual length]=8 ft

[blueprint length]=[actual length]*[scale]-------> 8*(3/5)----> 24/5 in

For [actual length]=9 ft

[blueprint length]=[actual length]*[scale]-------> 9*(3/5)----> 27/5 in

B) width of the mantel in the blueprint 8ft×2inc/1ft=16inch

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"We are 95 percent confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods is between 2.505 and 6.696." The correct interpretation of the given confidence interval is option E:

In the context of statistics, a confidence interval provides a range of values within which the true parameter is likely to fall. The given confidence interval (2.505, 6.696) gives an estimated range for the slope of the regression line. The interpretation in option E correctly states that we can be 95 percent confident that the true slope of the regression line falls within this interval.

Option A is incorrect because it refers to "all such samples of size n," which is too general and doesn't specify the true parameter. Option B is incorrect because it confuses the concept of probability with confidence. Confidence intervals are constructed to estimate the true parameter, not to assign probabilities to its values.

Option C is incorrect because it only mentions the random sample of n raw foods and doesn't refer to the true slope. Option D is incorrect because it refers to the predicted number of kilocalories, which is not related to the slope of the regression line.

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Answer:

x = 69

Step-by-step explanation:

angles in a triangle add up to equal 180

which means that, x + x + x - 27 = 180

x + x + x = 3x

3x - 27 = 180

* add 27 to both sides *

-27 + 27 cancels out

180 + 27 = 207

207 = 3x

* divide both sides by 3 *

3x / 3 = x

207 / 3 = 69

we're left with x = 69

For x = 5 and y = 3 the given triangles are congruent.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given triangles are congruent.

So, their sides are equal.

⇒ x = y + 2         ..(1)

 3y = x + 4         ..(2)

Plug value of x in equation (2)

3y = (y + 2) + 4

3y = y + 6

2y = 6

 y = 3

Plug y = 3 in equation (1)

x = 3 + 2

x = 5

Hence, for x = 5 and y = 3 the given triangles are congruent.

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The correct answer would be: 4.6 x 10^5

Answer:

$1281.39

Step-by-step explanation:

use formula given

Answer:

11 chairs per table

Step-by-step explanation:

33 divided by 3 is 11

The future value of the annuity is approximately $17,636.45.

An annuity is a series of equal payments made at regular intervals. In this case, you started an annuity of $200 per month. The interest on the account is 3% compounded monthly.

To calculate the amount of money you will have in 3 years, we can use the formula for the future value of an annuity. The formula is:

FV = P * [(1 + r)^n - 1] / r

Where:
FV is the future value of the annuity
P is the monthly payment ($200)
r is the interest rate per period (3% per month, or 0.03)
n is the number of periods (3 years, or 36 months)

Plugging in the values into the formula, we have:

FV = 200 * [(1 + 0.03)^36 - 1] / 0.03

Calculating this expression, we find that the future value of the annuity is approximately $17,636.45.

Therefore, the correct answer is $17,636.45.

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the biology professor cannot conclude that the percentage of children who develop asthma in the new country is lower than the percentage observed in the US study.

The biology professor can use hypothesis testing to determine if the percentage of children who develop asthma in the new country is significantly different from the percentage observed in the US study.

Here are the steps she can take:

1. Define the null and alternative hypotheses:
- Null hypothesis (H0): The percentage of children who develop asthma in the new country is the same as the percentage observed in the US study (i.e., 22.1%).
- Alternative hypothesis (Ha): The percentage of children who develop asthma in the new country is lower than the percentage observed in the US study.

2. Determine the test statistic to use:
- The appropriate test statistic for this scenario is the one-sample proportion z-test.

3. Set the significance level (alpha):
- Let's assume a significance level of 0.05.

4. Calculate the test statistic:
- The sample proportion of children who developed asthma in the new country is p = 70/336 = 0.2083.
- The standard error of the sample proportion is SE = sqrt[(p*(1-p))/n] = sqrt[(0.2083*(1-0.2083))/336] = 0.027.
- The test statistic is z = (p - P) / SE, where P is the proportion observed in the US study. So, z = (0.2083 - 0.221) / 0.027 = -0.463.

5. Determine the p-value and make a decision:
- The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. Using a standard normal distribution table or calculator, we find that the p-value is 0.3212.
- Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. There is not enough evidence to conclude that the percentage of children who develop asthma in the new country is significantly different from the percentage observed in the US study.

Therefore, the biology professor cannot conclude that the percentage of children who develop asthma in the new country is lower than the percentage observed in the US study.

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(a) You are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.

(b) You are approximately 13.00 meters away from the center of town at an angle of -67.38°.

(c) You are approximately 57.45 meters away from the center of town at an angle of 3° North of East.

(d) You walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).

(a) Given:

Distance from the center of town = 14.2 meters

Angle North of East = 190°

(i) To find how far East (+x) of the town center you are, we can use trigonometry. The horizontal component (East) is given by:

Distance East = Distance from center * cos(Angle)

Distance East = 14.2 * cos(190°) ≈ -11.79 meters

(ii) To find how far North (+y) of the town center you are, we can use trigonometry. The vertical component (North) is given by:

Distance North = Distance from center * sin(Angle)

Distance North = 14.2 * sin(190°) ≈ -2.98 meters

Therefore, you are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.

(b) Given:

Distance North (+y) of the center = 12.00 meters

Distance East (+x) of the center = -5.00 meters

(i) To find the distance from the center of town, we can use the Pythagorean theorem:

Distance from center = √((Distance North)² + (Distance East)²)

Distance from center = √((12.00)² + (-5.00)²) ≈ 13.00 meters

(ii) To find the angle, we can use trigonometry. The angle is given by:

Angle = atan(Distance North / Distance East)

Angle = atan(12.00 / -5.00) ≈ -67.38°

Therefore, you are approximately 13.00 meters away from the center of town at an angle of -67.38°.

(c) Given:

Distance from the center of town = 44.0 meters

Angle North of East = 23°

Distance walked = 30.0 meters

Angle of walking North of East = 160°

(i) To find the new distance from the center of town, we can use the Law of Cosines:

New distance from center = √((Distance from center)² + (Distance walked)² - 2 * Distance from center * Distance walked * cos(Angle of walking))

New distance from center = √((44.0)² + (30.0)² - 2 * 44.0 * 30.0 * cos(160°)) ≈ 57.45 meters

(ii) To find the new angle, we can use the Law of Sines:

New angle = Angle + Angle of walking - 180°

New angle = 23° + 160° - 180° ≈ 3°

Therefore, you are approximately 57.45 meters away from the center of town at an angle of 3° North of East.

(d) Given:

Distance from the center of town = 22.0 meters

Angle North of East = 123°

Distance walked = 40.0 meters

Direction = West (-x)

(i) To find the new distance from the center of town, we can use the Pythagorean theorem:

New distance from center = √((Distance from center)² + (Distance walked)²)

New distance from center = √((22.0)² + (40.0)²) ≈ 45.28 meters

(ii) To find the new direction, we can subtract the angle of walking from the original angle:

New angle = Angle - 90°

New angle = 123° - 90° ≈ 33°

Therefore, you walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).

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it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Answer:

If the mayor knows the area and length of the base of the flower garden, she can divide the area by the length to determine the height

Step-by-step explanation:

Area = Length • Height

divide both sides by Length

Area/Length = Height

Answer:

First, she starts with the formula for area for the specific shape in the problem. Then, substitute the area and the base into the formula. Finally, she can solve the resulting equation for the height.

Sorry i'm really late with a answer but i hope it helps people

:)

On solving the provided question, we can say that - the interest ant the end of the time will be 4500

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here,

P = 100000

R = 4.5

T = 1

SI = PRT/100

SI = 100000 X 4.5 X 1/100 = 4500

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Answer:

150 miles

Step-by-step explanation:

If they've completed 60% and have covered 90 miles

We can say

60% = 90 (miles)

We can work out 10% by dividing by 6 on both sides

10% = 15

100% is just 10 times larger

100% = 150

The trip (100% completion) is 150 miles

.5x-20=10 would be the answer for this. Half of a number would be .5x and since you are decreasing by 20, you're subtracting.

Answer:

B) 6 inches

Step-by-step explanation:

==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.

Thus:

JK/TU = JL/TV = KL/UV

10/7.5 = 8/x = 13/9.75

Let's find x

10/7.5 = 8/x

=>Cross multiply

10*x = 8*7.5

10x = 60

Divide both sides by 10

x = 6 inches

Our answer is B) 6 inches