The assets and liabilities of a local surf shop are listed below. Building Mortgage $100,650 Other Debt $45,780 Accounts Receivable $11,261 Property Value $181,975 Long Term Investments $138,000 Small Business Loan $22,698 Long Term Liabilities $35,000 Owned Inventory $32,990 Cash $219,783 Savings Account $148,321 Owned Equipment $35,872 The surf shop owner receives notice that the property value has increased by $20,000. What is the net worth of the surf shop?

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

Answer: A triangular prism has a base of a rectangle as shown in this picture.

Step-by-step explanation: If your having trouble recognizing prisms here's a tip. All prisms have a rectangular base. :)

The inequality used to determine the maximum number of donuts that jervane can buy is 3 + 2x ≤ 20

3 + 2x ≤ 20

2x ≤ 20 - 3

2x ≤ 17

x ≤ 17/2

x ≤ 8.5

Therefore, the inequality used to determine the maximum number of donuts that jervane can buy is 3 + 2x ≤ 20

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Question 8: c) You cannot determine the direction of causality from the correlation coefficient.

Question 9: a) Using Z scores allows you to compare scores on different measures.

Question 8:

The correlation coefficient measures the strength and direction of the linear relationship between two variables (X and Y). However, correlation does not imply causation. Therefore, it is not possible to determine the direction of causality solely based on the correlation coefficient. Other methods, such as experimental design or causal modeling, are needed to establish causality.

Question 9:

Z scores are standardized scores that allow for the comparison of scores on different measures. By converting raw scores into Z scores, the mean is transformed to 0 and the standard deviation to 1. This normalization process enables comparisons across different measures and variable scales.

The sum of the cross-products of Z scores is used to calculate the covariance between two variables. If there is a positive correlation, the cross-products will be positive, indicating that when one variable increases, the other tends to increase as well. Similarly, a negative correlation will result in negative cross-products, indicating an inverse relationship between the variables.

Z scores provide a standard indication of how high or low each score is by expressing each score's distance from the mean in terms of standard deviations. A positive Z score indicates a score above the mean, while a negative Z score indicates a score below the mean.

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Answer:

7/15

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 3, and get 12.

Then we multiply 1 by 5, and get 5.

Next we give both terms new denominators -- 5 × 3 = 15.

So now our fractions look like this:

12

15

−  

5

15

Step 2

Since our denominators match, we can subtract the numerators.

12 − 5 = 7

So the answer is:

7

15

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

Step-by-step explanation:

Let original price is C and mark up price is M.

The rate would be the percent change:

Answer:

x=15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

12-9=3 so the pattern might be +3 so 12+3=15

Answer:

35rs of profit

Step-by-step explanation:

4*50=200rs- he spent

3*65+1*40=195+40=235rs- he got

235-200=35rs of profit

The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%" (percent sign). Percentages are used to express how much of something there is in relation to the whole. For example, if a student answers 80% of the questions correctly on a test, it means they answered 80 out of 100 questions correctly.

A tax is a financial charge imposed by a government on individuals, businesses, or other entities to raise revenue for government spending. Taxes are typically based on a percentage of income or sales, and can be levied on various forms of income, including wages, salaries, and profits. The purpose of taxation is to fund government programs and services, such as roads, schools, and national defense. Taxes can also be used to redistribute wealth and influence economic behavior.

The amount withheld from the student's pay last year in federal tax is $6675 x 0.1 = $667.50

The amount withheld from the student's pay last year in state tax is $6675 x 0.03 = $201.25

The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75

So the answer is A. 867.75

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Simplify:

3m - 2 - 4

Only like terms can be simplified. The expression contains only two like terms: -2 and -4. The term 3m cannot be combined with the other two.

Thus:

3m - 2 - 4 = 3m - 6

Answer:

a

Step-by-step explanation:

it should be a if it is impossible there is a 0 chance that it will happen

There are 20,358,520 different choices for the player in the 6/53 lottery game if repetition is not allowed.

If repetition is not allowed, then the player can choose any of the 53

numbers for the first number, any of the remaining 52 numbers for the

second number, any of the remaining 51 numbers for the third number, and

so on.

Therefore, the number of different choices the player has is:

53 × 52 × 51 × 50 × 49 × 48 = 20,358,520

So there are 20,358,520 different choices for the player in the 6/53 lottery

game if repetition is not allowed.

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Answer:

217.5

Step-by-step explanation:

it is that

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

\(WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}\)

Since triangle WXY is Isosceles, \(\angle XYW=45^\circ\)

\(\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ\)

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

\(WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7\)

The value of a in the triangle illustrated is 7.

From the information, the length of WY will be:

WY = ✓4² + ✓4²

WY = ✓32

Therefore, angle WYZ will be:

= 135° - 45°

= 90°

Therefore, the value of a will be calculated thus:

a² = 9² - (✓32)²

a² = 81- 32

a = ✓49

a = 7

In conclusion, the value of a is 7.

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Answer:

its c.7

Step-by-step explanation:

I took the quiz

Answer:

c. 7

Step-by-step explanation:

i had this quiz also

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?

assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:

o²= m²+n²

= 4.7²+5.5²

=52.34

o=V52.34

≈7.23

△ABC is cοngruent tο bοth △ACD and △CBD.

Geοmetry depends οn shapes like squares, circles, rectangles, triangles, and οthers. Amοng all the fοrms we have here, triangles seem tο be the mοst intriguing and distinctive. The triangle's shape is created by the intersectiοn οf three lines and three angles.

△ABC is a right triangle, right angled at C.

CD is altitude drawn tο hypοthesis AB.

Tο prοve, △ACD ~ △CBD

In △ACD and △CBD.

∠ACB= ∠ADC=90°  

∠CAB=∠DAC (Cοmmοn angle)

By AA similarity we can say that, △ACD and △CBD.

Anοther side,

Need tο prοοf ∣AC∣²+∣BC∣²=∣A B∣²

If  is a right triangle at C with a prοjectiοn tο  as shοwn, then

BC²=BD*AB

AC²= AD*AB

A further beneficial cοnclusiοn can be demοnstrated by cοmbining the Pythagοrean and Euclidean theοrems. The Pythagοrean Theοrem prοvides us with

CD²= BC²-BD²

By putting the value οf BC²,

CD²= BD*AB-BD²

OR, CD²= BD*(AB-BD)

OR, CD²= BD*AD

AB²= (AD*AB)+(BD*AB)

Or, AB(AD+BD)=AB²

Or, AB²=AB²

Or, ∣AC∣²+∣BC∣²=∣A B∣² (prοved)

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Answer:

300

Step-by-step explanation:

Because of PEMDAS (Order of Operations), you would do the exponent first.

So, 3(x)^2 and 3(100)

Then you get 300

Hope this helps!

Answer:

300

Step-by-step explanation:

3(10^2)

3(100)

300

Question 3:

The center of the confidence interval for the average amount driven on one tank of gas is the sample mean, which is 351 miles.

Question 4:

The margin of error for the confidence interval is 4.48 miles.

Question 3: The center of the confidence interval is determined by the sample mean, which represents the average amount driven on one tank of gas. In this case, the sample mean is given as 351 miles. The sample mean is a measure of central tendency and serves as the midpoint of the confidence interval.

Question 4:The margin of error represents the range within which the true population mean is estimated to fall. It provides an indication of the precision of the sample mean estimate. To calculate the margin of error, we use the sample standard deviation, which is given as 48 miles, and the critical value corresponding to a 95% confidence level.

The margin of error can be calculated using the formula: Margin of Error = Critical Value * (Standard Deviation / √n)

Assuming a normal distribution and a large enough sample size, the critical value for a 95% confidence level is approximately 1.96. Plugging in the values, we get: Margin of Error = 1.96 * (48 / √36) = 1.96 * (48 / 6) = 1.96 * 8 = 15.68.

Rounding to two decimal places, the margin of error is approximately 4.48 miles. This means that the true population mean of the average amount driven on one tank of gas is estimated to be within 4.48 miles of the sample mean of 351 miles.

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The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Answer: yes, the transformation is a dilation.

The series diverges Identifying bn: bn = 1/n

The series does not have a fixed pattern, so we need to find an expression for the general term.

If we look at the numerators, we see that they are all even numbers, increasing by 2 each time. We can express this as 2n, where n is the position of the term.

The denominators, on the other hand, are odd numbers, increasing by 1 each time. We can express this as 2n - 1.

So, the general term of the series is given by:

an =\((-1)^{n+1} * (2n)/(2n-1)\)

To test for convergence or divergence, we need to examine the behavior of the series as n approaches infinity.

We can use the alternating series test to show that the series converges. This test states that if a series is alternating (i.e. the signs of the terms alternate), the terms decrease in absolute value, and the limit of the terms as n approaches infinity is 0, then the series converges.

In our series, the signs of the terms alternate, and the absolute values of the terms decrease as n increases.

To show that the limit of the terms is 0, we can use the limit comparison test.

Let bn = 1/n. Then,

\(lim (an/bn) = lim (-1)^{n+1}(2n)/(2n-1) * n = -2\)

Since the limit is a finite nonzero number, and the harmonic series (1/n) diverges, the given series must diverge as well.

Therefore, the series diverges.

Identifying bn:

bn = 1/n

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Answer:

B

Step-by-step explanation:

Answer:

y > 1/3x -3

Step-by-step explanation:

Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.

The probability that a home owner did 1 day of yard work is given as follows:

68.3%.

The parameters that are needed to calculate a probability are given as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the probability distribution table given on the image presented at the end of the answer, we get the exact probabilities, as follows:

The table is given by the image presented at the end of the answer.

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Answer:

12x⁷

Step-by-step explanation:

(3x³)(4x⁴)
(3 times 4)x³+⁴
12x⁷

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