Find h.
12 cm
h = V[?] ch
cm
6 cm

The standard deviation of these differences (sd) is:

sd = sqrt([(-2.175)^2 + (0.375)^2 + (0.025)^2 + (0.025)^2] / 3) = 1.12 (rounded to two decimal places)

To calculate the values of d and s for the paired sample data, we need to first find the differences between the temperature at 8 AM and 12 AM for each subject.

The differences are:

99.9 - 97.6 = 2.3

97.9 - 99.4 = -1.5

97.4 - 97.6 = -0.2

97.6 - 97.7 = -0.1

The mean value of these differences (d) is:

d = (2.3 - 1.5 - 0.2 - 0.1) / 4 = 0.125

The standard deviation of these differences (sd) is:

sd = sqrt([(-2.175)^2 + (0.375)^2 + (0.025)^2 + (0.025)^2] / 3) = 1.12 (rounded to two decimal places)

In general, d represents the mean value of the differences for the paired sample data. It measures the average amount by which the second measurement differs from the first measurement. The sign of d indicates the direction of change - a positive value means an increase in the second measurement, and a negative value means a decrease. The sd represents the variability or dispersion of the differences around the mean value.

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Answer:

5,-75,3-2,4,3/2

Step-by-step explanation:

5,-75,3-2,4,3/2

Answer:

x=111ft

Step-by-step

sin 24 = 45/x

+ the parallel lines

45 +x+24

x= 45/sin 24

The actual distance of your from the stage is 111 feet.

The angle formed by the line of sight and the horizontal plane for an object below the horizontal is called angle of depression.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question

We have

Angle of depression = 24degrees.

Let d be the actual distance of your from the stage.

Now in right angle triangle ABC

We have

AC = 45 feet

And, ∠ABC = 24 degrees

Now the Sine of an angle ∠ABC is given by

\(sin24 = \frac{AC}{AB}\)

⇒\(sin24=\frac{45}{d}\)

⇒ \(0.406=\frac{45}{d}\)

⇒ \(d =\frac{45}{0.406}\)

⇒\(d = 110.64 feet\) or \(111feet\)

Hence, the actual distance of your from the stage is 111 feet.

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Answer: A

Step-by-step explanation:

(3,3) (6,5)

y2-y1/x2-x1 = 5-3/6-3 = 2/3

y-y1 = m(x-x1)

y-3 = 2/3(x-3)

Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 kg/m³

The conversion value:

1 gram = 1/1000 kg

1 cm³ = 1/1000000 m³

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Grams per cubic centimeter = g/cm³

Kilograms per cubic meter = kg/m³

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

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Using the Fundamental Counting Theorem, it is found that 6 different possible outcomes are there.

What is the fundamental principle of counting?

The total number of times an event can occur is m n if there are m possible ways for one event to happen and n various ways for another. A rule used to determine the total number of potential outcomes in a circumstance is known as the fundamental counting principle.

                        It states that there are n m times m n times m methods to do both of these activities if there are n ways to perform one action and m ways to perform another action after that.

For the coin, there are two outcomes, hence . n₁ = 2

For the spinner, there are three outcomes, hence n₂ = 3

Then, the number of outcomes is given by:

N = 2 x 3 = 6.

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The probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed is approximately 0.999 or 99.9%.

To find the probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed, we can use Bayes' theorem.

Let's define the following events:

A: Labor force participant has a high school diploma or fewer years of education.

B: Labor force participant is unemployed.

We are looking for P(A|B), the probability that a labor force participant has a high school diploma or fewer years of education given that he or she is unemployed.

According to the information given:

P(A) = 0.381 (38.1% of the labor force has a high school diploma or fewer years of education)

P(B|A) = 0.051 (5.1% of those with a high school diploma or fewer years of education are unemployed)

P(B) = (P(A) * P(B|A)) + (P(A') * P(B|A')) [using the Law of Total Probability]

P(A') = 1 - P(A) = 1 - 0.381 = 0.619 (complement of having a high school diploma or fewer years of education)

P(B|A') = 0.035 (3.5% of those with some college or an associate's degree are unemployed)

P(B|A) = 0.028 (2.8% of those with a bachelor's degree or more education are unemployed)

Substituting these values into the equation for P(B):

P(B) = (0.381 * 0.051) + (0.619 * 0.035)

Now we can calculate P(A|B) using Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

Substituting the values we have:

P(A|B) = (0.051 * 0.381) / P(B)

Calculating P(B):

P(B) = (0.381 * 0.051) + (0.619 * 0.035) = 0.019431

Substituting the calculated value of P(B) into the equation for P(A|B):

P(A|B) = (0.051 * 0.381) / 0.019431 ≈ 0.999

Therefore, the probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed is approximately 0.999 or 99.9%.

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This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Answer:

b

Step-by-step explanation:

its a straigt line thats what linear means (line)

Answer: 30 ?

Step-by-step explanation:

2 x 1.5 x 5 x 2 = 30

hopefully this is right :)

Answer:

Many northerners were opposed to the Mexican-American War. Many southerners supported this conflict. A big reason for the different viewpoints regarding our involvement in this war was the issue of slavery. ... The northerners were concerned that many new states would be created from the lands we would receive from Mexico

25 percent of $120 is $30 and yes, he has enough money to buy the music player.

A) Find 25% of $120:

To find 25% of $120, we divide $120 by 100 and then multiply by 25:

$120 / 100 * 25 = $30

So, 25% of $120 is $30.

B) Does Wyatt have enough:

To find the sale price of the music player, we need to apply the 24% discount:

$120 - $120 * 24% = $120 - $120 * 0.24 = $120 - $28.80 = $91.20

So, the music player will be sold for $91.20.

Wyatt has $95, so he has enough money to buy the music player.

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Answer:

around 45 minutes

Step-by-step explanation:

it takes about 15 minutes to do 1 mile, do the correct math, it'll take about 45 minutes to do 3 miles

integral diverges for the value of c = 6.

The value of the constant c for which the given integral converges is c=6.

When c=6, the integral can be evaluated as follows:

[integral symbol from 0 to infinity] 7x(x^2-1-7c)/(6x+1) dx

= [integral symbol from 0 to infinity] 7x(x^2-43)/(6x+1) dx

To evaluate this integral, we can use long division to divide 7x(x^2-43) by 6x+1. The result is:

7x(x^2-43) ÷ (6x+1) = (7/6)x^2 - (301/36)x + (43/6) - (10/36)/(6x+1)

Therefore,

[integral symbol from 0 to infinity] 7x(x^2-43)/(6x+1) dx

= [integral symbol from 0 to infinity] (7/6)x^2 - (301/36)x + (43/6) - (10/36)/(6x+1) dx

= [(7/6)x^3 - (301/72)x^2 + (43/6)x - (10/36)ln|6x+1|] evaluated from 0 to infinity

= infinity - 0

Thus, the integral diverges.

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On solving the provided question we can say that the value of the equation will be 20-15=5 B

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Girls 4/(4+3)* 35= 20

Boys: 35-20= 15

Ans 20-15=5 B

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James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

cool?

Step-by-step explanation:

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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The measure of the angle μ∠ABD subtended by the arc AD at the circumference is equal to 27°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc AD = 2(μ∠ABD)

Also arc AD = 54°

2(μ∠ABD) = 54°

μ∠ABD = 54°/2 {divide through by 2}

μ∠ABD = 27°

Therefore, the measure of the angle μ∠ABD subtended by the arc AD at the circumference is equal to 27°

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The probability of Vanessa selecting at random a hot Cheeto and another hot Cheeto is the fraction 1/4, 0.25 as a decimal, 25% as a percent.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

total possible outcome is the number of Cheetos in her bag = 50

probability of selecting a hot Cheetos = 25/50

probability of selecting a cheese Cheetos = 25/50

the required outcome is the two hot Cheetos selected at random

the probability of getting a hot Cheeto and another hot Cheeto is calculated as follows:

25/50 × 25/50 = 1/2 × 1/2

25/50 × 25/50 = 1/4

Therefore, the probability of Vanessa selecting at random a hot Cheeto and another hot Cheeto is 1/4

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Answer:

I think it's x=9 y=1

Step-by-step explanation:

3y+5=2y 20x-70=12x+2

+3y +3y -12x -12x

5=5y 8x-70=2

/5 /5 +70 +70

1=y 8x=72

/8 /8

x=9

Answer:

yh thats the answer hopee this work

The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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It takes 1/5 hours or 12 minutes for 1 centimeter of snow to accumulate in Harper's yard.

We are given that the depth of snow that accumulates in Harper's yard during the first h hours of a snowstorm is given by the equation d = 5h.

To find out how many hours it takes for 1 centimeter of snow to accumulate, we need to find the value of h when the depth of snow d is equal to 1 centimeter.

Substituting d = 1 in the equation d = 5h, we get:

1 = 5h

Dividing both sides by 5, we get:

h = 1/5

In summary, the equation d = 5h gives the depth of snow in centimeters that accumulates in Harper's yard during the first h hours of a snowstorm. To find how many hours it takes for 1 centimeter of snow to accumulate, we substitute d = 1 and solve for h, which gives us h = 1/5 hours or 12 minutes.

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Complete question is:

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d = 5h. How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard?

Problem N 6

we have the roots

3 and (4+i)

By the conjugate complex theorem

If (4+i) is a root

then

(4-i) is a root too

so

we have at least

Zeros

The polynomial function is given by

(x-3)(x-(4+i))(x-(4-i))

Multiply first

(x-(4+i))(x-(4-i))

x^2+(4+i)(4-i)-x(4-i)-x(4+i)

x^2+16-i^2-4x+xi-4x-xi

x^2+16-(-1)-8x

x^2-8x+17

so

(x-3)(x-(4+i))(x-(4-i))=(x-3)(x^2-8x+17)

Apply distributive property again

x^3-8x^2+17x-3x^2+24x-51

therefore

The data are skewed to the right describes the data most accurately.

A skewed distribution is one in which the data are not evenly distributed around the mean. In a skewed distribution, the mean, median, and mode are not all equal. In a right-skewed distribution, the mean is greater than the median and mode. This means that there are more data points at the lower end of the distribution than at the higher end.

In the case of the test scores, there are more students who scored lower than the mean than there are students who scored higher than the mean. This is why the data are skewed to the right.

The other options are incorrect:

The data are not bimodal, meaning that there are not two distinct peaks in the distribution.

The data are not normally distributed, meaning that they do not follow a bell-shaped curve.

A "U"-shaped curve is not a type of distribution.

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Answer:

is A: 15

Step-by-step explanation:

If you use the Pythagorean Theorem:

\(9^{2}\) + \(12^{2}\) = \(x^{2}\)

81 + 144 = \(x^{2}\)

x = \(\sqrt\)225

x = 15

Hope this helped!