PLEASE HELP find value of X
x^2 = 9, x = ?

The computer center should purchase new computers.

The question requires finding out whether the computer center should purchase new computers or not. The information provided is that the average amount of time students use computers at the university computer center is 36 minutes, with a standard deviation of 5 minutes. The times are known to be normally distributed. Around 10,000 uses are recorded each week in the computer center. The computer center administrative committee has decided that if more than 2000 uses of longer than 40 minutes at each sitting are recorded weekly, some new terminals must be purchased to meet usage needs.

Calculations:
Firstly, we need to find the Z-value, which is (40-36)/5 = 0.8. Now using the Z-table, we can find the area under the curve which is 0.2119 or 21.19%.
It is given that 10,000 uses are recorded each week in the computer center. Therefore, the number of users expected to use computers for more than 40 minutes is:
10,000 × 0.2119 = 2119. Therefore, there are 2119 students who are expected to use the computers for more than 40 minutes per week. This is greater than the 2000 limit set by the committee. Therefore, the computer center should purchase new computers.
Conclusion:
The committee should purchase new computers because 21.19% of uses will be longer than 40 minutes. Out of 10,000 uses per week, there will be 2119 users expected to use computers for more than 40 minutes per week.

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Answer:

where is it?

Step-by-step explanation:

We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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Answer:

2,276 ≤ 2,336.6 < 60.6

Step-by-step explanation:

I. When m is combined mass of car and person which is

2,276 + 60.6 = 2,336.6

II. Write into the interval a <= m < b

So we can write as

2,276 ≤ 2,336.6 < 60.6 will return to False.

or

60.6 ≤ 2,336.6 < 2,276 will return to False.

That makes 2,276 ≤ 2,336.6 < 60.6 is the right answer.

Hope that help :)

The required amount of money lost on the car is (c/5).

To calculate the amount of money lost on the car, we need to find the difference between its cost price and the selling price.

Given:

Cost price of the car = $c

Selling price of the car = four fifths (4/5) of the cost price

The selling price can be calculated as:

Selling price = (4/5) * Cost price

The amount of money lost is the difference between the cost price and the selling price:

Money lost = Cost price - Selling price

Substituting the values:

Money lost = c - ((4/5) * c)

Money lost = c - (4c/5)

Money lost = (5c/5) - (4c/5)

Money lost = (c - 4c/5)

Money lost = (c/5)

Therefore, the amount of money lost on the car is (c/5).

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The derivatives are:

(a) f'(x) = 2 + sec(x)tan(x) + csc\(^2(x)\)

(b) f'(x) = cos(x)(1 + csc(x)) + sin(x)(-csc(x)cot(x))

(c) f'(x) = 3(x + 2)^2

(a) To find the derivative of f(x) = 2x + sec(x) - cot(x), we can apply the derivative rules.

f'(x) = 2 + sec(x)tan(x) + csc\(^2(x)\)

(b) To find the derivative of f(x) = sin(x)(1 + csc(x)), we can use the product rule.

f'(x) = cos(x)(1 + csc(x)) + sin(x)(-csc(x)cot(x))

(c) To find the derivative of f(x) = (x + 2)³, we can use the power rule.

f'(x) = 3(x + 2)²

So, the derivatives are:

(a) f'(x) = 2 + sec(x)tan(x) + csc\(^2(x)\)

(b) f'(x) = cos(x)(1 + csc(x)) + sin(x)(-csc(x)cot(x))

(c) f'(x) = 3(x + 2)².

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

From the sampling distribution we know:

a. will become more variable as the sample size increases.

A sampling distribution is the probability distribution of a statistic that was acquired from more samples taken from a certain population. The distribution of frequencies for a variety of potential outcomes that could happen for a population statistic makes up the sampling distribution of a specific population.

When it comes to the spread of all sample proportions, theory predicts behaviour far more accurately than just stating that larger samples have a smaller spread. In actuality, the sample size, n, and the standard deviation of each sample proportion.

Thus, option (a) correctly describe about sampling distribution of the sample proportion.

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Answer:

3^11

Step-by-step explanation:

You add the 6 and the 5 to make 11.

Now you can multiply 3 to the power of 11.

So 3×3×3×3×3×3×3×3×3×3×3

Which would equal 177147.

Answer:

\(3^{11}\) or 177147 (Depending on how you are supposed to answer)

Step-by-step explanation:

The first rule for exponents is "Product of powers rule: Add powers together when multiplying like bases". "3" is the base in this situation for both of the two values. Hence, they are common between the two of them. Therefore, we can apply this rule to the problem. If we add the exponents we get \(3^{11}\).

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The answer is 9, letter B.

Answer:

Step-by-step explanation:

If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.

a). The prices that give a profit of zero dollars.

    Expression that is most useful,

    Factored form: -2(p - 3)(p - 9) = 0

    p = 3, 9

b). The profit when the price is zero .

    Standard form:

    Profit = -2p² + 24p - 54 = 0

    -p² + 12p - 27 = 0

    -p² + 3p + 9p - 27 = 0

    -p(p - 3) + 9(p -3) = 0

     (-p + 9)(p - 3) = 0

     p = 3, 9

c). The price that gives the maximum profit.

   Vertex form: -2(p - 6)² + 18

   Vertex of the given expression → (6, 18)

   Maximum profit will be at p = 6.

   Therefore, profit = -2(6 - 6)² + 18 = 18

∮C F ⋅ dr = ∬D curl F dA = ∬D 1 dA = 16π. Thus, the value of the line integral ∮C F ⋅ dr, where C is the given circle oriented clockwise, is 16π.

To evaluate the line integral ∮C F ⋅ dr using Green's theorem, we first need to calculate the curl of the vector field F(x, y) = (y - cos y, x sin y). The curl of F is defined as:

curl F = (∂F2/∂x - ∂F1/∂y) = (∂(x sin y)/∂x - ∂(y - cos y)/∂y)

Let's compute the partial derivatives:

∂F2/∂x = sin y

∂F1/∂y = -1 + sin y

So, the curl of F is:

curl F = sin y - (-1 + sin y) = 1

According to Green's theorem, the line integral ∮C F ⋅ dr around a closed curve C is equal to the double integral over the region D enclosed by C of the curl of F, i.e.,

∮C F ⋅ dr = ∬D curl F dA

Now, let's apply Green's theorem to evaluate the line integral over the given circle C: (x - 8)^2 + (y + 9)^2 = 16, oriented clockwise.

To apply Green's theorem, we need to find the region D enclosed by C. The given circle is centered at (8, -9) with a radius of 4. The region D can be visualized as the interior of the circle.

Since the curl of F is 1, the double integral becomes:

∬D curl F dA = ∬D 1 dA

The integral of the constant function 1 over the region D is simply the area of D. The area of a circle with radius 4 is π(4^2) = 16π.

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Answer:

L={∅}

Step-by-step explanation:

Answer:

x= -2

y=16

So it is D

Step-by-step explanation:

Substitute to find.

3x-8x=10

-5x=10

x= -2

y= 16

The right question is;

Compare 9 × 10⁴ to 3 × 10².

This is about division in indices.

9 × 10⁴ is 300 greater than 3 × 10²

9 × 10⁴ can be rewritten as; 3 × 3 × 10² × 10²

Because according to law of indices; \(a^{x}\) × \(a^{y}\) = \(a^{x + y}\)

We can see that the first expression has extra 3 × 10² which is not in the second expression as the second one has only one.

Thus;

(3 × 3 × 10² × 10²)/(3 × 10²)

This will give us 3 × 10² = 300.

Thus, 9 × 10⁴ is 300 greater than 3 × 10²

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The least three numbers that when added together give a number multiple of 7 are:

2, 3 and 7

Prime numbers are numbers that have only two divisors, but these two divisors are always the same number and the number 1.

If we want to know a number that comes from the sum of three prime numbers and that in turn is divisible by 7, then let's identify the prime numbers from 0 to 20:

2, 3, 5, 7, 11, 13, 17, 19

Let's start with the lowest ones:

The three numbers are: 2, 3 and 7.

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Answer:

Step-by-step explanation:

Number 1 FALSE

9 * 9 * 3 = 81 * 3 = 243

Number 2 TRUE

7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3

7 * 3 = 3 * 7

21 = 21

Number 3 FALSE

17 * 17 * 17 = 4913

Number 4 FALSE

4 * 1 = 4

Number 5 FALSE

6 + 6 + 6 = 18

For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

To use the treehouse as the start of the zip line, the cable needs to be attached to the starting tree at a height of 18 feet above the ground.

To meet the slope constraint, Esteban wants to change the height to 7 feet and end the zip line at a height of 11 feet above the ground.

He claims this vertical change meets the slope constraint.

The slope for tree A will be

\(\rm Slope \ A = \dfrac{7}{120}\\\\Slope \ A = 0.0583\)

The slope for tree B will be

\(\rm Slope \ B = \dfrac{7}{160}\\\\Slope \ B = 0.043\)

For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.

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Answer:

Step-by-step explanation:

b. 1/2n-4

The expression  \(\frac{1}{2} n-4\) represents four less than half a number, n. The correct option is b.

The concept of an algebraic expression (or) a variable expression is considered as a set of terms that have been combined using operations like addition, subtraction, multiplication, and division.

The half a number, \(n\) means \(\frac{1}{2}n\) .

As we know four less than \(x\) is \(x-4\).

Then, four less than half a number will be \(\frac{1}{2} n-4\).

So, the expression represents four less than half a number, \(n\) is \(\frac{1}{2} n-4\).

This means the correct option is b. \(\frac{1}{2} n-4\).

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FIFO: March 16 - Accounts Receivable 21,250, Sales Revenue 21,250, Cost of Goods Sold 13,750, Inventory 13,750.

LIFO: March 16 - Accounts Receivable 21,250, Sales Revenue 21,250, Cost of Goods Sold 14,500, Inventory 14,500.

The FIFO inventory valuation method assumes that the items purchased first are sold first. Therefore, for the March 16 sale, we need to record the cost of goods sold using the cost of the oldest units still in inventory. In this case, since 550 units were purchased on January 1 and 350 units were purchased on February 5, the cost of goods sold would be calculated based on the cost of the 250 units from the January 1 purchase, which amounts to SAR 13,750. The corresponding entry reduces the inventory and records the cost of goods sold.

The LIFO inventory valuation method assumes that the items purchased last are sold first. Thus, for the March 16 sale, we need to record the cost of goods sold using the cost of the most recent units purchased. Since 350 units were purchased on February 5, the cost of goods sold would be calculated based on the cost of these units, which amounts to SAR 14,500. The corresponding entry reduces the inventory and records the cost of goods sold.

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Answer:

20

Step-by-step explanation:

1 hour is 60 minutes 1/3x60=20

Answer:

1200 seconds

Step-by-step explanation:

1/3 of an hour is 20 minutes. There are 60 seconds in a minute. 60 times 20 = 1200.

Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

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Answer:

9

Step-by-step explanation:

just reciprocate and change the negative sign to positive

A ring is a mathematical structure with addition and multiplication operations.

An integral domain is a commutative ring with no zero divisors.

A field is a commutative ring where every non-zero element has a multiplicative inverse.

If (R, +, ×) is an integral domain, R is a ring but may not be a field.

If (R, +, ×) is a finite integral domain, R remains an integral domain.

If (R, +, ×) is a field, R is both a ring and an integral domain.

(a) A ring is a mathematical structure with addition and multiplication operations, an integral domain is a commutative ring with no zero divisors, and a field is a commutative ring where every non-zero element has a multiplicative inverse.

(b) If (R, +, ×) is an integral domain, R is indeed a ring because it satisfies the properties of closure, associativity, distributivity, and the existence of an additive identity. However, R may not be a field since not every non-zero element in R has a multiplicative inverse.

(c) If (R, +, ×) is a finite integral domain, R remains an integral domain. The finiteness of R does not affect the properties of being commutative, having no zero divisors, and having a multiplicative identity.

(d) If (R, +, ×) is a field, R is also a ring because it satisfies all the properties of a ring, including closure, associativity, distributivity, and the existence of an additive identity. Additionally, R is an integral domain because it has no zero divisors. Every non-zero element in R also has a multiplicative inverse, as required by the definition of a field.

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Answer:

3

Step-by-step explanation:

When you go from x=1 to x=3 you go up twice on the x-value. The y value also increases by 6 which means all you have to do is find the average.

6/2= 3

3 is the average increase between x=1 and x=3

Hope this helps!

Answer:

a yard stick, maybe I'm right

Answer:

a fence

Step-by-step explanation:

HAHAHA LOL

The appropriate sample size for a study by knowing the population standard deviation is:

1/6 of the population range.

A pilot study's sample standard deviation.

The sample standard deviation is the root-mean square of the discrepancies between observations and the sample mean: A large divergence is defined as two or more standard deviations from the mean.

The sample standard deviation (s) is the square root of the sample variance and serves as a measure of the deviation from expected values. In its most basic form, it is the average distance between the observed data and the expected values.

The population standard deviation always depends upon the population range and sample standard deviation.

Therefore, By knowing the population standard deviation it allows us to choose the appropriate sample size for a study that is:

1/6 of the population range.

A pilot study's sample standard deviation.

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To find the arc length, we can use the formula:

\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)

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Answer:

C. The relationship is linear; y – 5 = 2(x + 7).

Step-by-step explanation:

The correct answer is:

The relationship is linear, and the equation is  

y-5 = 2(x+7).

Explanation:

To determine if the relationship is linear, we find the slope between each pair of points.  Slope is given by the formula:

The slope between the first two points is given by:

The slope between the second pair of points is given by:

The slope between the third pair of points is given by:

Since the slope is the same throughout the data, the relationship is linear and the slope is 2.

To write the equation, we use point-slope form, which is:

y-y₁ = m(x-x₁)

Using the first point, we have:

y-5 = 2(x--7)

y-5 = 2(x+7)

The answer is The relationship is linear; y - 5 = 2(x + 7).