what method can samuel use to find the area of the figure, in square units

Answer: Credit cards

Step-by-step explanation:

(you can search it up as well)

Answer:

All real numbers, the equation is an identity

Step-by-step explanation:

Hi there!

-2(x+4)+3x=x-8

Open up the parentheses:

-2x-8+3x=x-8

-8 cancels out on both sides

-2x+3x=x

x=x

Because the equation simplifies to x=x, the solution is all real numbers. For any value of x, the equation will be true.

I hope this helps!

a random variable can have any value that is possible within the range of -infinity and infinity.So a. can have any value between -infinity and infinity.

A random variable from an experiment with outcomes that are normally distributed can take on any value between -infinity and infinity. This means that it can take on any real number, including fractions and decimals. It is not limited to only a few discrete values, nor does it have to be positive.

A random variable from an experiment with outcomes that are normally distributed can take on any real value between -infinity and infinity. This means that the variable is not limited to a few discrete values, nor does it have to be positive. Instead, it can have any value, no matter how small or large, and including fractions and decimals. Such a random variable can have any value that is possible within the range of -infinity and infinity.

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The probability that both batteries pass the test is; 11/20

Total Number of Batteries tested = 16

Number of Batteries that fail the Test = 4

Number of batteries selected at Random = 2

Probability that both batteries fail the test = (4/16) * (3/15)

Probability that both batteries passed the test = 12/16 * 11/15 = 11/20

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Answer:

a. 20

Step-by-step explanation:

just multiply 5 and $4 by 4

To find the volume of the solid of revolution, we will use the formula:

V = ∫[a,b] π(f(x))^2 dx

where a = 0, b = 4, and f(x) = (4-x)^(-1/3)

However, since the region is revolved about the y-axis, we need to express the function in terms of y.

(4-x)^(-1/3) = y

(4-x) = y^(-3)

x = 4 - y^(-3)

So, the integral becomes:

V = ∫[0,1] π(4-y^(-3))^2 dy

= π∫[0,1] (16 - 8y^(-3) + y^(-6)) dy

= π[16y - 4y^(-2) - y^(-5)]|[0,1]

= π(16 - 4 - 1)

= 11π cubic units

Therefore, the volume of the solid of revolution is 11π cubic units.

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The F-test is used to compare two population variances and determine if they are significantly different from each other. When conducting an F-test, the null hypothesis states that the two population variances are equal, and the alternative hypothesis states that the variances are different.

In the given diagram, the F-statistic is calculated as 1.919 with a p-value of 0.063. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (2) is the correct answer.

The Levene's test is used to determine if the variances of two populations are equal or not. If the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variances are equal. In the given diagram, the Levene's test statistic is calculated as 0.42 with a p-value of 0.74. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (4) is incorrect.

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Answer:

im a girl

Step-by-step explanation:

Answer:

its a translation

Step-by-step explanation:

Triangle B slid to the left to get to triangle A

Not my best subject so I'm pretty sure the other person got it right!

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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Answer:

15x+5

Step-by-step explanation:

(7x+5)+(8x)

Answer:

rfcec

Step-by-step explanation:

The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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James has a total of 21.9 kilograms of sand in his sandbox after adding the sand from the beach. To find the total weight of sand in James' sandbox, we need to convert the given weights from grams to kilograms.

James initially has 14,500 g of sand. To convert this to kilograms, we divide by 1000:

14,500 g ÷ 1000 = 14.5 kg

Next, James brings home an additional 7,400 g of sand from the beach. To convert this to kilograms, we divide by 1000:

7,400 g ÷ 1000 = 7.4 kg

To find the total weight of sand in James' sandbox, we add the initial amount of sand to the amount he brought from the beach:

14.5 kg + 7.4 kg = 21.9 kg

Therefore, James now has 21.9 kilograms of sand in his sandbox.

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a. Decision rule: Reject the null hypothesis if the calculated z-value is less than or equal to -1.28. b. Calculated z-value: -1.8892. c. Conclusion: Reject the null hypothesis, indicating evidence that the population mean is less than 128.

To complete parts (a) through (c), we need to perform a hypothesis test for the given hypotheses

H0: μ = 128 (null hypothesis)

HA: μ ≤ 128 (alternative hypothesis)

Given: X= 119 (sample mean)

σ = 27 (population standard deviation)

n = 46 (sample size)

α = 0.10 (significance level)

a. The decision rule is to reject the null hypothesis if the calculated value of the test statistic is less than or equal to the critical value(s) of the test statistic. Since the alternative hypothesis is one-sided (μ ≤ 128), we will use a one-sample z-test and compare the calculated z-value with the critical z-value.

To find the critical z-value, we need to determine the z-value corresponding to the significance level α = 0.10. Looking up the critical value in the standard normal distribution table, we find that the critical z-value is -1.28 (rounded to two decimal places).

b. The calculated value of the test statistic, in this case, is the z-value. We can calculate the z-value using the formula

z = (X - μ) / (σ / √n)

Substituting the given values:

z = (119 - 128) / (27 / √46) ≈ -1.8892 (rounded to two decimal places)

c. The conclusion is based on comparing the calculated value of the test statistic with the critical value. Since the calculated z-value of -1.8892 is less than the critical z-value of -1.28, we have enough evidence to reject the null hypothesis. Therefore, we conclude that the population mean is less than 128.

The conclusion statement in part (c) is inconsistent with the given alternative hypothesis and should be revised accordingly.

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Answer:

slope = 1/3

Step-by-step explanation:

(0,6)

(3,7)

slope = (y2-y1)/(x2-x1)

(7-6)/(3-0)

1/3

Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

Answer:

\((12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4}) = 14a^{5}+14a^{4}-10a^{3}-16a\)

Step-by-step explanation:

Given

\((12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4})\)

Required

Simplify

We have:

\((12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4})\)

Open brackets

\(12a^{5}-6a-10a^{3}-10a+2a^{5}+14a^{4}\)

Collect like terms

\(12a^{5}+2a^{5}+14a^{4}-10a^{3}-6a-10a\)

\(14a^{5}+14a^{4}-10a^{3}-16a\)

Hence:

\((12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4}) = 14a^{5}+14a^{4}-10a^{3}-16a\)

To find the velocity and acceleration at time t for the cougar's position function s = 1 - 61t + 9t^2, we need to differentiate the function with respect to time.

a) Velocity:

To find the velocity, we differentiate the position function with respect to time:

v(t) = ds/dt

Given that s = 1 - 61t + 9t^2, we can differentiate it term by term:

ds/dt = d(1 - 61t + 9t^2)/dt

= 0 - 61 + 18t

= -61 + 18t

So, the velocity function is v(t) = -61 + 18t.

b) Change of Direction:

The cougar changes direction when its velocity changes sign. Therefore, we need to find the time t when v(t) = 0:

-61 + 18t = 0

18t = 61

t = 61/18

So, the cougar changes direction at t = 61/18 seconds.

c) Acceleration:

To find the acceleration, we differentiate the velocity function with respect to time:

a(t) = dv/dt

Given that v(t) = -61 + 18t, we can differentiate it term by term:

dv/dt = d(-61 + 18t)/dt

= 0 + 18

= 18

So, the acceleration function is a(t) = 18.

Since the acceleration is a constant value of 18, the cougar's speed does not change over time. It neither speeds up nor slows down.

To summarize:

a) Velocity: v(t) = -61 + 18t

b) Change of Direction: t = 61/18 seconds

c) Acceleration: a(t) = 18

d) The cougar does not speed up or slow down.

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i. The Fourier transform of (t - 2) - 38(t - 3) is [(jw)^2 + 38jw]e^(-2jw). ii. The Fourier transform of e^(-2t)u(t) is 1/(jw + 2). iii. The Fourier transform of e^(-3t+12)u(t-4) can be obtained using the result of ii. as e^(-2t)u(t-4)e^(12jw). iv. The Fourier transform of e^(-2|t|)cos(t) is [(2jw)/(w^2+4)].

i. To find the Fourier transform of (t - 2) - 38(t - 3), we can use the linearity property of the Fourier transform. The Fourier transform of (t - 2) can be found using the time-shifting property, and the Fourier transform of -38(t - 3) can be found by scaling and using the frequency-shifting property. Adding the two transforms together gives [(jw)^2 + 38jw]e^(-2jw).

ii. The function e^(-2t)u(t) is the product of the exponential function e^(-2t) and the unit step function u(t). The Fourier transform of e^(-2t) can be found using the time-shifting property as 1/(jw + 2). The Fourier transform of u(t) is 1/(jw), resulting in the Fourier transform of e^(-2t)u(t) as 1/(jw + 2).

iii. The function e^(-3t+12)u(t-4) can be rewritten as e^(-2t)u(t-4)e^(12jw) using the time-shifting property. From the result of ii., we know the Fourier transform of e^(-2t)u(t-4) is 1/(jw + 2). Multiplying this by e^(12jw) gives the Fourier transform of e^(-3t+12)u(t-4) as e^(-2t)u(t-4)e^(12jw).

iv. To find the Fourier transform of e^(-2|t|)cos(t), we can use the definition of the Fourier transform and apply the properties of the Fourier transform. By splitting the function into even and odd parts, we find that the Fourier transform is [(2jw)/(w^2+4)].

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A: 95 people dislike both

B: 81

C: 21

Answer:

Thanks for the points!!

Step-by-step explanation: dawggggggg

Answer:

A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d + 0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Step-by-step explanation:

Answer:

The cost he will pay for 10 rides will be $70 and for r rides will be .

Step-by-step explanation:

The price of admission into the park is $20.The price for each ride is $5David takes 10 rides,So, the cost he will pay if he took 10 rides will be,If he had r rides,So, the cost he will pay if he took r rides will be,Therefore, the cost he will pay for 10 rides will be $70 and for r rides will be.

!!! hope this helps !!!!

Answer:

in total he would pay 60

Step-by-step explanation:

30 to get in and 30 to ride rides

The probability that none of the given houses were burglarized is 22%, under the required condition that probability that a house in an urban area will be burglarized is 3%, and total number of houses is 30.

Let  us consider X to be the number of houses that were  burglarized.
Then probability of a house in attempts to being burglarized is p = 0.03.
And probability of a house not being burglarized is
q = 1 - p
= 0.97.
The total trials is n = 30.

Now the probability regarding none of the houses will be burglarized is

\(P(X = 0) = C(30,0) * (0.03)^0 * (0.97)^{30}\)
= 0.2202

Hence, the probability  of none of the houses being  burglarized is 0.2202

Converting it into percentage

0.22 x 100
= 22%

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Explanation:

Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.

The base of each triangle is 22/5 = 4.4 cm

The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.

The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.

Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm

Answer:

165

Step-by-step explanation:

The formula for the area of the pentagon is 5/2 × s × a. 

5/2×22×3

5/2 × 66/1= 66÷2

=33

33×5=165

Answer:3080”

Step-by-step explanation:

Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs