Make q the subject of the formula p = 2q2 .​

Answer:

I hope this helps:))

Step-by-step explanation:

John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.

Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:

Total HST collected from Sales= HST Rate x Amount before HST Sales

Total HST collected from Sales= 13% x $150,000

Total HST collected from Sales= $19,500

Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.

Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)

Total HST paid on purchases= 13% x ($96,000 + $83,000)

Total HST paid on purchases= $19,790

Let's calculate the net HST payable or refund:

Net HST payable/refund = Total HST collected from sales - Total ITCs

Net HST payable/refund = $19,500 - $19,790Net HST payable/refund

= -$290 Since the Net HST payable/refund is negative,

it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.

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Answer:

25°

Step-by-step explanation:

Since ∠DBC = 130°, ∠DBC + ∠ABD = 180° (sum of angles on a straight line is 180°). Solving for ∠ABD:

∠DBC + ∠ABD = 180°

130 + ∠ABD  = 180°

∠ABD = 180° - 130°

∠ABD = 50°

∠ABD  is bisected by line BE, therefore ∠ABD = ∠EBA + ∠DBE (angle addition postulate).

The angle addition postulate states that if w is the interior of xyz then ∠XYZ = ∠XYW + ∠ZYW

Since E is the interior of ∠ABD, then:

∠ABD = ∠EBA + ∠DBE

But ∠EBA = ∠DBE

∠ABD = 2∠EBA

50 = 2∠EBA

∠EBA = 25°

Answer:

The simplified ratio that compares 5 meters to 100 centimeters is 5: 1 .Option A

Ratio is simply described as the non equal comparison of two numbers, variables, or events.

It shows how many times a number or variable contains another.

The comparison is also based on size.

From the information given, we have;

5 meter to 100 centimeters

It is important to note that;

100 centimeters = 1 meters

Also, 1 meter= 100 centimeters

5 meters = x centimeters

cross multiply

x = 100(5)

Multiply the values

x = 500 centimeters

Then,

5 meters = 1 meter

Hence, the ratio is 5:1

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Answer:

x= -1, -13

Step-by-step explanation:

Answer: x=-13   x=-1

Step-by-step explanation:

\(x^2+14x=-13\\x^2+2(x)(7)+7^2-7^2=-13\\(x^2+2(x)(7)+7^2)-49=-13\\(x+7)^2-49=-13\\(x+7)^2-49+49=-13+49\\(x+7)^2=36\)

\((x+7)^2-36=36-36\\(x+7)^2-36=0\\(x+7)^2-6^2=0\\(x+7+6)(x+7-6)=0\\(x+13)(x+1)=0\\x+13=0\\x+13-13=0-13\\x=-13\\x+1=0\\x+1-1=0+(-1)\\x=-1\)

Here, we want to write the decimal as a percent

We first re-write as a fraction then multiply by 100%

We have this as;

Answer:

174

Step-by-step explanation:

58/2=29 than multiply 29 by 6

(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

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Answer:

the last one, all I can say

Answer:

Fact

Step-by-step explanation:

A Fact is a statement that has been proved :)

Answer:

b)

x= 5

Step-by-step explanation:

4x = 20

:4

x=5

The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).

To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.

Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.

Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.

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Answer:

10.2%

Step-by-step explanation:

($325) / ($3,200) = 0.102 x 100 = 10.2%

Divide the amount for utilities by the total amount of rent.

Answer:

3

Step-by-step explanation:

You would first plug in the points to the slope formula which is as follows:

m = y2 - y1 / x2 - x1

When you plug it in, it should look as follows:

m = 10 - 4 / 7 - 5

You should now add like terms.

m = 6/2

You should now simplify.

m = 3

Answer:

10626 different recital programs possible

Step-by-step explanation:

Since  there is no repetition we can tackle this problem in the following manner.

Out of the 23 pieces, the pianist can choose the first one in 23 ways

Out of the remaining 22 pieces she can choose the second one in 22 different ways

Out of the remaining 21 pieces she can choose the third one in 21 different ways

So total number of ways in which 3 pieces can be played without repetition is 23 x 22 x 21 = 10,626 ways

There is a formula for this kind of situation
If there are a total of n items and you want to choose r items from this, the number of possible ways to do this without repetition is given by the formula

\(_{n}P_{r} = \dfrac{n!}{(n-r)!}\)

In this case, n = 23, r = 3 so we get
\(_{23}P_{3} = \dfrac{23!}{(23-3)!} = \dfrac{23!}{20!} = 23 \times 22 \times 21 = 10626\)

Same as the above

The attached image represents the interval 2 < x ≤ 9 on the number line

The interval is given as:

2 < x ≤ 9

The above interval means that:

In inequality, the < symbol uses an open circle, while the ≤ uses a closed circle

Next, we highlight the interval using the above rules (see attachment)

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To factor 1 out of 3 we divide 3 by 1

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

For example to factor out 4 out of 20. It shows that 4 is a factor of of 20 and to get the other factor we divide 20 by 4. This means that 20/4 = 5. This shows that 4 and 5 are factors of 20.

Similarly to factor out 1 over 3, we divide 3 by so as to get the other factor. This means that 3/1 = 3.

This shows that 3 and 1 are factors of 3

Therefore to factor a number(x) over another number(y) we divide the y by x

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Answer:

I believe the answer is B. Six problems per hr (hour)

By some estimates 80-90 percent of employee learning occurs via on the job training.

This is the term that is used to refer to the training that people would receive based on the fact that it is preparing them to have the competent skills that are useful for a particular job. It is one of the ways that employers help to get their employees ready for the task at hand.

It has been reported from available data that on the job training is a great component of employee learning.

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Answer:

.44 pounds of sugar are used in each cake

Step-by-step explanation:

Just divide 440 by 1,000

Answer:

Step-by-step explanation:

3)  9732.8/20 = 486.64

4)  0.75x4= 3

      43.6- 3= 40.6

          40.6/30= 1.35

Answer:

Multiply Length times Width times Height.

Step-by-step explanation:

sq root 24 x sq root 18 x sq root 8 = 58.78

The probability of rolling an even number on a 6-sided number cube is 3/6 or 1/2. The probability of getting a green on a spinner with 4 different colors depends on the specific distribution of colors on the spinner.

1. Rolling an even number on a 6-sided number cube: A 6-sided number cube has 3 even numbers (2, 4, and 6) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, and 6). Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2.

2. Getting a green on a spinner with 4 different colors: To determine the probability, we need to know the number of green sections on the spinner and the total number of sections. If the spinner has only one green section out of 4 sections, the probability of getting a green would be 1/4. However, if the spinner has a different distribution of colors, the probability would change accordingly.

In summary, the probability of rolling an even number on a 6-sided number cube is 1/2, and the probability of getting a green on a spinner depends on the specific distribution of colors on the spinner.

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Answer:

84

Step-by-step explanation:

Ab = 7 x 2 = 14

V = 14 x 6 = 84

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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Approximately 89.26% of utility companies have revenue between 41 million and 99 million dollars. We need to use the normal distribution formula and find the z-scores for the given values.

First, we need to find the z-score for the lower limit of the range (41 million dollars):  z = (41 - 70) / 18 = -1.61
Next, we need to find the z-score for the upper limit of the range (99 million dollars): z = (99 - 70) / 18 = 1.61
We can now use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores. The area between -1.61 and 1.61 is approximately 0.9044. This means that approximately 90.44% of utility companies earned revenue between 41 million and 99 million dollars.


To find the percentage of utility companies with revenue between 41 million and 99 million dollars, we can use the z-score formula and the standard normal distribution table. The z-score formula is: (X - mean) / standard deviation. First, we'll calculate the z-scores for both 41 million and 99 million dollars: Z1 = (41 million - 70 million) / 18 million = -29 / 18 ≈ -1.61
Z2 = (99 million - 70 million) / 18 million = 29 / 18 ≈ 1.61
Now, we'll look up the z-scores in the standard normal distribution table to find the corresponding percentage values.
For Z1 = -1.61, the table value is approximately 0.0537, or 5.37%.
For Z2 = 1.61, the table value is approximately 0.9463, or 94.63%.
Percentage = 94.63% - 5.37% = 89.26%

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