a meter is to be bolted to a switchboard. the meter studs that will fit into the holes on the switchboard are 0.4365 inch in diameter. express the hole sizes in decimal form if they are to be 1/32 inch larger in diameter than the studs.

Answer: B

Step-by-step explanation: The Product and sum of 17 and both irrational.

Answer:

Car B is going faster

Step-by-step explanation:

Car B has a higher rate.(It goes 20 more miles per hour)

Answer

5) 12 + 8 = 8 + 12

This property is called the commutative property.

6) 19 + (42 + 8) = (19 + 42) + 8

This property is called the associative property.

7) 24 + 0 = 24

This property is the additive identity property of 0.

36 × 1 = 36

This property is the multiplicative identity property of 1.

Together, they are both called the Identity property.

Hope this Helps!!!

The diameter of the ball is approximately 16.67 meters.

To find the diameter of the ball, we can use the relationship between the distance traveled and the number of revolutions.

The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter.

Given that the ball rolls a distance of 3.5 meters and makes 15.0 revolutions, we can calculate the circumference of the path it travels:

C = 3.5 m * 15.0 = 52.5 m

Since each revolution covers the circumference of the ball, we have C = πd. Plugging in the known value for C, we can solve for the diameter (d):

52.5 m = πd

Dividing both sides of the equation by π, we get:

d = 52.5 m / π

Using a calculator, we can evaluate this expression:

d ≈ 16.67 meters

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Answer:

2n

Step-by-step explanation:

COVARIANCE.S uses the number of data points minus one to adjust for the sample size. The functions COVARIANCE.P and COVARIANCE.S return different values when using the same data.

The reason why COVARIANCE.P and COVARIANCE.S return different values when using the same data is that they use different formulas to calculate covariance. COVARIANCE.P calculates the average of the product of deviations from the means of the two variables, while COVARIANCE.S calculates the sum of the product of deviations from the means of the two variables, divided by the number of data pairs minus one.

COVARIANCE.P assumes that the data represents the entire population, and therefore divides by the total number of data points. COVARIANCE.S, on the other hand, assumes that the data represents a sample of the population, and therefore divides by the number of data points minus one to account for the degree of freedom.

In summary, the difference between COVARIANCE.P and COVARIANCE.S lies in the way they account for the variance in the data, with COVARIANCE.P using the total number of data points, while COVARIANCE.S uses the number of data points minus one to adjust for the sample size.
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Answer:

180

Step-by-step explanation:

900/ 10= 90x 2= 180

haha very bad explaination but hope it helps <3

Answer:

180

Step-by-step explanation:

First let's write the problem out.

20% of 900 = 20%*900

20% can also be written out as .2

now all you need  do is multiply .2 by 900

This should get you 180

Answer:

2x + 5y +z²

Step-by-step explanation:

you multiply 2 and x then y and five and z and z

Answer: 18.5

Step-by-step explanation:

The way to find the mean of a data set is to add up all the values and then divide by the number of data points.

First add up all of the values. 12+14+22+14+18+23+42+13+9+19+22+14=222.

Now count how many data points there are. There are 12 data points.

Finally, divide the sum you got by the number of data points. 222/12=18.5

The given statement is true. A 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.

A 97% confidence interval is a range of values that you can be 97% certain contains the true mean of the population. This is not the same as a range that contains 97% of the values.

It means that repeated samples of the same sample size will produce confidence intervals such that 97% of the intervals will contain the true but unknown parameter prior to drawing the sample. This is called the initial precision of the confidence interval.

Confidence intervals:

Confidence interval computes the range in which the true value lies with a specified confidence level and is generally denoted by a small c.

Therefore we get that a 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.

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Answer:

30 .24 m/hr

Step-by-step explanation:

2 hours and 5 minutes  = 2  + 5/60  hours = 2 5/60 hrs

63 miles / (2  5/60) = 30.24 m/hr

Step-by-step explanation:

To find the average speed, we must know this formula :

\( \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{Distance \: Travelled}{Total \: Time \: Taken}}} \\ \\ \)

Now, substituting the given values in the formula :

\( \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{63 \: miles}{2.083 \: hr}}} \\ \\ \)

\( \\ {\longrightarrow\sf \qquad{Average \: speed = 30.24 \: mph}} \\ \\\)

Therefore,

(d) The function (-5, 1), (0, 3), (5, 5) is not a linear function

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

(-5, 1), (0, 3), (5, 5).

A linear function has a constant rate of change, meaning that the slope of the line is always the same.

However, if we plot the given points on a graph, we can see that they do not lie on a straight line.

Therefore, the function is not linear.

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Answer:

About $48.39

Step-by-step explanation:

Sales tax only applies to the bill, not the tip.

Calculate the sales tax:

38.96 × 8%

38.96 × 0.08

3.1168

Round to the nearest cent:

3.12

Add the sales tax to the bill:

38.96 + 3.12

42.08

Calculate the tip based "on the total amount of the bill:"

42.08 × 15%

42.08 × 0.15

6.312

Round to the nearest cent:

6.31

Add the tip to the rest of the bill:

42.08 + 6.31

48.39

Answer: ∛v

Step-by-step explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ =  v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!

Using Pythagorean theorem to calculate the distance of the charges, the electric potential is -93V

The electric potential at point P can be calculated using the formula:

\(V=\frac{1}{4\pi\epsilon_0}\frac{q_1}{r_1}+\frac{1}{4\pi\epsilon_0}\frac{q_2}{r_2}\)

where \(\epsilon_0\) is the vacuum permittivity, q1 and q2 are the charges, and r1and r2 are the distances from the charges to point P.

To find r1 and r2, we can use the Pythagorean theorem:

\(r_1=\sqrt{(0.1\text{ m})^2+(0.15\text{ m})^2}=0.18\text{ m}\)

\(r_2=\sqrt{(0.1\text{ m})^2+(0.25\text{ m})^2}=0.27\text{ m}\)

Substituting the values into the formula, we get:

\(V=\frac{1}{4\pi\epsilon_0}\frac{-5.0\times10^{-6}\text{ C}}{0.18\text{ m}}+\frac{1}{4\pi\epsilon_0}\frac{5.0\times10^{-6}\text{ C}}{0.27\text{ m}}\)

Using the value of vacuum permittivity

\(\epsilon_0=8.85\times10^{-12}\text{ F/m}\)  we get:

\(V=-267\text{ V}+174\text{ V}= -93\text{ V}\)

Therefore, the electric potential at point P is -93 V.

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Two or more angles are supplementary if and only if they can add up to \(180^{o}\).  Thus, the appropriate option would be C.

Supplementary angles are angles that add up to the value of angle on a straight line i.e \(180^{o}\).

Congruent property of angles implies that they have equal value.

Thus, the given statement that: “Supplementary angles are never congruent”, implies that they can not be equal in value. Thus the contrary to the statement would be: “Supplementary angles are sometimes congruent.”

Considering the figures given in the question, the counter example to the given statement is the figure in option C. \(180^{o}\). Because angle 1 and 2 are approximately equal.

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The recursive formula for our sequence is the one in the first option.

aₙ = aₙ₋₁ + 6

With a₁ = 7

Here we have the following sequence:

7, 13, 19, 25, ...

This one seems to be an arithmetic sequence, to check this, let's take the difference between consecutive terms:

13 - 7 = 6

19 - 13 = 6

25 - 19 = 6

This means that the recursive formula for our sequence is "add 6 to the previous term" or:

aₙ = aₙ₋₁ + 6

With a₁ = 7

so the correct option is the first one.

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer and Step-by-step explanation:

Assuming the negative is with the 6, the answer will be 36.

When you square a number, you are essentially multiplying that number by itself, to the number of times the power is. In this case, -6 is multiplied by -6 and there is two of them.

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Answer:

12

Step-by-step explanation:

I hope this helps!

Order from largest to smallest: 2.5 mL, 250μL, 0.025 mL, 2.5μL

Order from largest to smallest: 100μL, 0.015 mL, 250μL, 0.01 mL

To convert from μL to mL, divide by 1,000. Therefore, 1μL is equal to 0.001 mL or 1,000 μL is equal to 1 mL.To convert μL to mL, divide by 1,000. Thus, 2.5 mL is equal to 2,500 μL.To convert from μL to mL, divide by 1,000. Hence, 100μL is equal to 0.1 mL.To convert from μL to mL, divide by 1,000. Therefore, 250μL is equal to 0.25 mL.To convert from mL to μL, multiply by 1,000. So, 0.08 mL is equal to 80 μL.To convert from mL to μL, multiply by 1,000. Thus, 0.025 mL is equal to 25 μL.To convert from μL to mL, divide by 1,000. Hence, 2.5μL is equal to 0.0025 mL.To convert from mL to μL, multiply by 1,000. So, 0.01 mL is equal to 10 μL.To convert from mL to μL, multiply by 1,000. Thus, 0.015 mL is equal to 15 μL.

a. The volumes in order from largest to smallest are: 2.5 mL, 250μL, 0.025 mL, 2.5μL. This is determined by comparing the numerical values, with larger volumes being placed before smaller volumes.

b. The volumes in order from largest to smallest are: 100μL, 0.015 mL, 250μL, 0.01 mL. Again, this is determined by comparing the numerical values, with larger volumes placed before smaller volumes.

a. Setting the micropipette within its designated range is important to ensure accurate and precise volume measurements. Each micropipette has a specific volume range it can handle effectively, and using it within that range ensures reliable results.b. Using a micropipette with the appropriate tip is crucial for accurate volume transfer. Micropipette tips are designed to fit specific micropipette models, ensuring a secure and proper seal. Using the correct tip prevents leaks or inaccuracies in volume measurements.c. Holding a loaded micropipette in a vertical position helps prevent any air bubbles from being introduced into the sample or the pipette tip. This ensures accurate volume delivery and avoids any potential errors or contamination.d. Releasing the micropipette plunger slowly is necessary to ensure.

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Answer:

As the sucrose concentration is higher in the solution, the water in the balloon, where the sucrose is less concentrated, will tend to leave and try to dilute the outer solution until both sucrose concentrations are equal. But as the water leaves the balloon, the concentration inside will increase, so it will flow outside until both concentrations are equal and not until the outer concentration is similar to the initial concentration in the balloon.

Step-by-step explanation:

Hope this helps:)

A) zero as the value of determinant is imaginary

The number of real solutions of the equations y = x - 3 and y = x² - 6x + 10 will be zero. Then the correct option is A.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

y = x - 3

y = x² - 6x + 10

Compare both equations, then we have

x² - 6x + 10 = x - 3

Simplify the equation, then we have

x² - 7x + 13 = 0

The solution to the equation, then we have

x = [7 ± √(49 - 52)] / 2

x = 7/2 ± (√3/2)i

The number of real solutions of the equations y = x - 3 and y = x² - 6x + 10 will be zero. Then the correct option is A.

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Answer:

  B)  108°

Step-by-step explanation:

You want the interior angle measure for a regular pentagon.

The interior angles of a regular n-gon will have measure ...

  180° -360°/n

When n = 5, the interior angles have measure ...

  180° -360*/5 = 180° -72° = 108°

The interior angles of a regular pentagon are 108°.

__

Additional comment

The 360°/n comes from the fact that the sum of exterior angles for any convex polygon is 360°. For a regular n-gon, those exterior angles are congruent, so each is 360°/n. The interior angle is its supplement.

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Answer:

13

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 5, - 5) and (x₂, y₂ ) = (0, 7)

d = \(\sqrt{0+5)^2+(7+5)^2}\)

   = \(\sqrt{5^2+12^2}\)

   = \(\sqrt{25+144}\)

    = \(\sqrt{169}\)

     = 13

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2020/21

Answer:

5/64

Step-by-step explanation:

5/8 : 8 = 5/8 * 1/8 = 5/64

Answer:

12 4/5

Step-by-step explanation:

simplified

The sample size n is fixed, and k can vary from 0 to n. Thus, the probability distribution function of the sample depends on the parameter p and the sample size n.

Let's denote the random sample as y1, y2, ..., yn, where each yi represents the outcome of a Bernoulli trial with a parameter p. In a Bernoulli distribution, each trial can result in one of two possible outcomes, typically labeled as "success" or "failure," with probabilities p and 1-p, respectively.

To find the probability distribution function (pdf) of this random sample, we can express it as a product of individual probabilities for each observation. Since each yi follows a Bernoulli distribution, the probability of observing a success (yi = 1) is p, and the probability of observing a failure (yi = 0) is 1-p.

The probability of the entire sample y1, y2, ..., yn can be calculated as the joint probability of each observation, assuming independence:

P(y1, y2, ..., yn) = P(y1) * P(y2) * ... * P(yn) = p^k * (1-p)^(n-k)

where k is the number of successes in the sample (the number of yi's equal to 1) and n-k is the number of failures (the number of yi's equal to 0).

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To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A

r = sqrt(A^2 + B^2)
tan? = B/A

Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.

To determine the relationship among R, r, ? and ?, we can use the identity:

R^2 = r^2 + (tan?)^2

Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:

tan? = B/A = r/R

Solving for R, we get:

R = r/tan? = r/(B/A) = rA/B

And substituting the expression for R in terms of r and tan?, we get:

R = sqrt(r^2 + (r/R)^2) * A/B

Simplifying this expression, we get:

R^2 = r^2 + (A/B)^2 * r^2

R^2 = r^2 (1 + (A/B)^2)

Therefore, the relationship among R, r, ? and ? is:

R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A

To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Comparing this to the given expression, we have:

Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]

Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):

A = -r*sin(θ)
B = r*cos(θ)

To find r and θ in terms of A and B, we can use the Pythagorean identity:

A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²

Therefore, r = √(A² + B²).

Now, to find θ, we can use the tangent function:

tan(θ) = -A/B

Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:

Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)

This implies that:

R = r
θ + π/2 = θ'

So, the relationship among R, r, θ, and θ' is:

R = r
θ' = θ + π/2

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Answer:  x=55 over 6

Step-by-step explanation: