17. A rectangular prism has a length of 12 cm, a
height of 6/cm, and a width of 4 cm. Use the
formula SA = 2({w) + 2(wh) +2(ehy to find the
surface area of the rectangular prism.

Answer:

78m

Step-by-step explanation:

We can use the formula of area of rectangle which is the product of length and breadth.

=> A = l * b

=> 4368m² = 56m * l

=> l = 4368m²/56m

=> l = 78m .

To find the unit rate that compares the length of the couch in the dollhouse to the length of the couch in the real living room, we need to convert the measurements to the same unit of measurement. Let's convert the length of the couch in the real living room from feet to centimeters:

1 foot = 30.48 centimeters

So, the length of the couch in the real living room is:

8 feet x 30.48 centimeters/foot = 243.84 centimeters

Now we can calculate the unit rate:

Unit rate = length of couch in dollhouse / length of couch in real living room

Unit rate = 6 centimeters / 243.84 centimeters

Unit rate = 0.0246

Therefore, the unit rate that compares the length of the couch in the living room to the length of the couch in the dollhouse is 0.0246 cm/cm.

We reject the null hypothesis and conclude that the true average temperature of COVID patients exceeds 100, with a type I error rate of 10% and a p-value of 0.0068 indicating a low probability of obtaining the observed sample mean if the null hypothesis were true.

To test if the true average temperature of COVID patients exceeds 100, we can use a one-sample z-test.

The null and alternative hypotheses are

Null hypothesis: The true average temperature of COVID patients is less than or equal to 100.

Alternative hypothesis: The true average temperature of COVID patients exceeds 100.

We can calculate the test statistic as

z = (x - μ) / (σ / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean (100 in this case), σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get

z = (101.2 - 100) / (6 / sqrt(56))

z = 2.47

We can find that the p-value is 0.0068. This means that if the true average temperature of COVID patients is actually 100, there is only a 0.68% chance of getting a sample mean of 101.2 or higher.

Since the alpha level is 10%, and the p-value is less than 10%, we reject the null hypothesis and conclude that the true average temperature of COVID patients exceeds 100.

The type of error that could have occurred is a type I error, which is rejecting the null hypothesis when it is actually true. The probability of a type I error is equal to the chosen alpha level, which is 10% in this case.

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Answer:

-7

Step-by-step explanation:

f(3) = 2(3)+3 = 9

g(4) = 2^4 = 16

9 - 16 = -7

The probability that you will switch jobs in the next three years, given that people on average switch jobs every three years and you have already held your current job for two years, is 0.7037 or approximately 70.37%.

If people, on average, switch jobs every three years, then the probability of switching jobs in any given year is 1/3 or approximately 0.3333.

Since you have already held your current job for two years, we are interested in the probability that you will switch jobs within the next three years. This can be calculated as the probability of not staying at your current job for the next three years, which is:

P(switching jobs in the next three years) = 1 - P(staying at current job for the next three years)

The probability of staying at your current job for one year is 2/3 (the complement of the probability of switching jobs in any given year). Therefore, the probability of staying at your current job for the next three years is:

P(staying at current job for the next three years) = (2/3)^3 = 0.2963

So, the probability of switching jobs in the next three years is:

P(switching jobs in the next three years) = 1 - 0.2963 = 0.7037

Therefore, the probability that you will switch jobs in the next three years, given that people on average switch jobs every three years and you have already held your current job for two years, is 0.7037 or approximately 70.37%.

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Answer:

1x+3x=200

4x=200

x=50

1x=50 x=50

4(50)=150

then the answer is 50 and 150

The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

The measure is given as:

0.85 hg

As a general rule:

1 hectogram (hg) = 1000 decigram (dg)

So, multiply both sides of the above equation by 0.85

So, we have:

0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)

Evaluate the product

0.85 hectogram (hg) = 850 decigram (dg)

Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

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A comparison of hot coffee and cold lake is, the heat from the coffee will be absorbed by the cold lake through convection method of heat transfer.

Heat is transferred through the convection, which is basically large-scale movement of molecules inside gases and the liquids. Conduction is basically used to move heat from one of the object to the fluid initially, but fluid motion is all responsible for the bulk of the heat transfer.

Conservation of energy

The principle of conservation of the energy states that the total energy of an isolated system is always in conserved state.

Heat lost by all the hot coffee = Heat absorbed by all the cold lake

Heat transfer process

Heat from the coffee will all be absorbed by the cold lake through convection method of the heat transfer.

Thus, the comparison of hot coffee and the cold lake is, the heat from the coffee will all be absorbed by the cold lake through convection method of the heat transfer.

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See the attached image for the plotted graph

The graph of a function f in mathematics is the collection of ordered pairs where f(x)=y.

These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

4x -4y = 24

x - y= 6

y= x-6

Slope= 1, pass through (6,0), (0, -6)

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The chances of your bar having the golden ticket are still 80%.

The chances of your bar having the golden ticket in it are still 80%.

Even though the other students have opened their bars and found no golden ticket, the probability of the golden ticket being in the remaining bar has not changed.

The fact that the other students opened their bars and found nothing does not affect the probability of your bar containing the golden ticket.

Therefore, the chances of your bar having the golden ticket are still 80%.

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The equivalent equation solved for y is y = a/πx. Half the length of the smaller diameter of the ellipse is 2.12 units, and the ellipse has dimensions of 6 units by 2.12 units. (Option 3)

To solve for y, we start with the equation for the area of an ellipse:

a = πxy

Dividing both sides by πx, we get:

a/πx = y

Therefore, the equivalent equation solved for y is y = a/πx. This equation gives us the value of y, which is half the length of the smaller diameter of the ellipse, in terms of the area of the ellipse and half the length of the larger diameter.

For example, if the area of an ellipse is 20 square units and half the length of the larger diameter is 6 units, we can use the equation y = a/πx to find the value of y:

y = 20/π(6) = 1.06 units

Therefore, half the length of the smaller diameter of the ellipse is 2.12 units, and the ellipse has dimensions of 6 units by 2.12 units.

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Complete Question:

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse. which is an equivalent equation solved for y?

Answer:

A

Step-by-step explanation:

You are right

The ratio for the given situation, where Emma made 9 times as many goals as Vivian during soccer practice, can be expressed as 9:1.

A ratio is a way to compare quantities or values. In this case, we are comparing the number of goals made by Emma and Vivian during soccer practice. It is stated that Emma made 9 times as many goals as Vivian. This means that for every 1 goal Vivian made, Emma made 9 goals.

To express this as a ratio, we write the number of goals made by Emma first, followed by a colon (:), and then the number of goals made by Vivian. Therefore, the ratio for this situation is 9:1, indicating that Emma made 9 goals for every 1 goal made by Vivian.

Ratios provide a way to understand the relationship between different quantities or values. In this case, the ratio 9:1 shows that Emma's goal-scoring performance was significantly higher than Vivian's, with Emma scoring 9 times more goals.

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ANSWER

sin ∠D = 0.86

EXPLANATION

The sine of an angle of a right triangle is:

This is triangle DEF:

So the sine of angle D is side EF divided by side DE:

Answer:

I THINK 64.8

Step-by-step explanation:

Step-by-step explanation:

anyway, without any further information about ground consistency, friction and stuff, we have to assume ideal circumstances.

so, the same energy that made the ball flying through the air makes it also bounce or roll across the ground carrying it exactly the same distance at the same time.

the distances with an ideal, reflective ground will be the same.

it is the same energy released with the same inertia.

The equation of the quadratic function is: f(x) = 3x² - 18x - 48

To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.

Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:

f(x) = a(x - 8)(x + 2)

To find the value of "a," we can use the fact that f(2) = -72.

Substituting x = 2 into the equation, we have:

-72 = a(2 - 8)(2 + 2)

Simplifying, we get:

-72 = a(-6)(4)

-72 = -24a

Dividing both sides by -24, we find:

3 = a

Now that we know the value of "a," we can rewrite the equation in standard form:

f(x) = 3(x - 8)(x + 2)

So, the equation of the quadratic function is:

f(x) = 3x² - 18x - 48

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answer:

The answer is (b) The upper bound.

Step-by-step explanation:

Sana makatolong

The value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°

What is an angle?

An angle is formed when two lines meets at the same vertex. It is measured by degree. Based on the measurements angles are of three types.

Consider POR as a triangle.

Given that m∠p=5x-14, m∠q=x-5, m∠r=2x-9.

In triangle the sum of the angle is 180°, then

m∠p + m∠q +m∠r =180°

⇒5x-14+x-5+2x-9 = 180°

⇒8x-28=180°

⇒x=26°

then, m∠p=5x-14 = 5(26)-14 = 116°

m∠q=x-5 = 26-5=21°

m∠r=2x-9 = 2(26)-9=43°

Hence, the value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°

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The proof that shows that ΔPRS ≅ ΔQSR by HL congruence theorem is explained below.

The HL congruence theorem can be used to prove that two triangles are congruent to each other if we can show that the two triangles are right triangles that have a pair of corresponding congruent legs, and a pair of congruent hypotenuse.

The proof for stating that triangles PRS and QSR are congruent is given below.

Statement                                          Reasons                                                  

1. QS ≅ PR, PS ⊥ RS, QR ⊥ RS          1. Given

2. <RSP and <SRQ are right angles  2. Definition of perpendicular

3. SR ≅ RS                                          3. Reflexive property of congruency

4. ΔPRS ≅ ΔQSR                                4. HL

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The related sample design can be a useful approach for many research questions, but researchers need to carefully consider the design of their study and choose the best approach for their specific research question.

A related sample can refer to a single sample that has been measured twice, or to two samples that have been matched. The advantages of using a related sample versus using two independent samples include greater statistical power, better control over extraneous variables, and fewer participants. Using two independent samples can also have some benefits, such as increased generalizability of results. However, researchers need to carefully consider the design of their study and choose the best approach for their specific research question. Here is an explanation in 130 words:Related sample designs are a type of experimental or quasi-experimental research design that involves two samples of participants, with some level of connection between the two samples. The two samples may be matched on certain variables, or they may be the same participants measured twice (repeated measures). This design can be used to test a hypothesis about the difference between two conditions or treatments, and it has some advantages over using two independent samples. One advantage is greater statistical power, as the related sample design can reduce error variance and increase the sensitivity of the statistical test. Another advantage is better control over extraneous variables, as the related sample design can reduce the impact of individual differences and other sources of variability. Finally, using a related sample design can reduce the number of participants required for a study, which can save time and resources.

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The probability that the sample mean is between 7.8 and 8.2 is 0.3830

The time spent using email is normally distributed with µ = 8 min, σ = 2 min, and n = 25,

we have to find the probability that the sample mean is between 7.8 and 8.2.

Here, Mean (µ) = 8 min  

Standard deviation (σ) = 2 min

Sample size (n) = 25

We know that the distribution of the sample mean is also a normal distribution. The mean of the sample mean distribution is µ and the standard deviation of the sample mean distribution is

σ/√n = 2/√25

        = 2/5

        = 0.4.

The z-score is given by

z = (x - µ) / (σ/√n)

For the lower limit, the z-score is   z₁ = (7.8 - 8) / (0.4)

                                                              = -0.5

For the upper limit, the z-score is   z₂ = (8.2 - 8) / (0.4)

                                                               = 0.5

We have to find the probability that the sample mean is between 7.8 and 8.2. It can be represented as

P(7.8 < x < 8.2)

P(z₁ < z < z₂)

Substituting the values,

we get

P(-0.5 < z < 0.5)

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The Answer is 25.12 I know this because I used a calculator. Hope this helped! :)

Answer: 25.12

Step-by-step explanation:

The Answer is 25.12 I did a test and got it right. I hope this helps!

Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

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Answer:

His total expense each month is \(50 + 2.5\times g\). He wants to spend no more than 200, so it has to be less than that:

\(50 +2.5g < 200 \rightarrow 2.5g < 150 \rightarrow g <60\)

Answer:

C) 80

Step-by-step explanation:

triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees

The probability that at least one of them is a girl is 0.9781

From the question, we have the following parameters that can be used in our computation:

P(Boy) = 0.529

Number of selection, n = 6

Using the above as a guide, we have the following:

P(At least 1 girl) = 1 - P(No girl)

Substitute the known values in the above equation, so, we have the following representation

P(At least 1 girl) = 1 - (0.529)^6

Evaluate

P(At least 1 girl) = 0.9781

Hence, the probability is 0.9781

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