\(\frac{3}{4} d -\frac{1}{2}=\frac{3}{8} + \frac{1}{2}d\)

The rate charged per hour by the first mechanic = $105,

And the rate charged per hour by the second mechanic = $110.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity gives after combining as x + y.

Given that,

Two mechanics worked on a car.

The first mechanic worked for 10 hours.

The second mechanic worked for 5 hours.

Together, they charged a total of $1600.

The sum of the two rates charged per hour is $215.

Assume that,

The rate charged per hour by the first mechanic is = x dollars,

The rate charged per hour by the second mechanic is = y dollars.

The first mechanic worked for 10 hours,

The total amount earned by the first mechanic would be 10 times their hourly rate = 10x dollars.

Similarly,

The second mechanic worked for 5 hours,

The total amount earned by the second mechanic would be 5 times their hourly rate =  5y dollars.

Set up two equations based on the given information:

The first equation is the sum of the two rates, which is,

x + y = 215  ......(i)

The second equation is the total amount earned by both mechanics,

10x + 5y = 1600  .....(ii)

Use substitution to find the values of x and y:

From the first equation, we can express x in terms of y as,

x = 215 - y

Substitute this value of x into the second equation:

10(215 - y) + 5y = 1600

Expanding the equation, we get,

2150 - 10y + 5y = 1600

Combining like terms, we have:

-5y = 1600 - 2150

-5y = -550

Dividing both sides of the equation by -5, we get:

y = 110

Now that we have the value of y,

Substitute it back into the first equation to find x:

x + 110 = 215

Subtract 110 from both sides, and we get:

x = 105

Hence,

The rate charged per hour by the first mechanic is $105, &  the rate charged per hour by the second mechanic is $110.

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Answer: -3 is the answer!

Step-by-step explanation:

Answer:

8:19

Step-by-step explanation:

Ball B:  diameter in mm = 9.5 * 10 = 95 mm

Ratio of Ball A to Ball B = 40 : 95

=  8:19 answer

The mean squared error equals to c.) 6.

The mean squared error is a measure of the accuracy of a forecast model, indicating the average squared difference between the forecasted values and the actual values in a time series. In this case, a three-period moving average forecast is used.

To compute the mean squared error, we need to calculate the squared difference between each forecasted value and the corresponding actual value, and then take the average of these squared differences.

Using the given time series values and the three-period moving average forecast, we can calculate the squared differences as follows:

(23 - 17)² = 36

(17 - 17)² = 0

(17 - 26)² = 81

(26 - 11)² = 225

(11 - 23)² = 144

(23 - 17)² = 36

(17 - 17)² = 0

Taking the average of these squared differences, we get:

(36 + 0 + 81 + 225 + 144 + 36 + 0) / 7 = 522 / 7 ≈ 74.57

Therefore, the mean squared error is approximately 74.57.

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The answer of the given question based on probability is , option (A) 9/11.

Probability is  measure of  likelihood of  event occurring. It is number between 0 and 1, where 0 means that  event is impossible, and 1 means that  event is certain to occur. The probability of  event can be expressed as  fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.

The total number of hair clips in the box is:

Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33

The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:

P(small or medium) = P(small) + P(medium)

The probability of selecting a small hair clip is:

P(small) = number of small hair clips / total number of hair clips

= 15 / 33

The probability of selecting a medium hair clip is:

P(medium) = number of medium hair clips / total number of hair clips

= 12 / 33

Therefore, the probability of selecting a small or medium hair clip is:

P(small or medium) = P(small) + P(medium)

= 15/33 + 12/33

= 27/33

= 9/11

So the answer is (A) 9/11.

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At a 98% confidence level, the margin of error is 0.8765.

Because the method is based on probability, the confidence interval has a margin of error.

A confidence interval's margin of error again for the population mean is determined by:

ME = \(Z_{\alpha /2}\) × \(s_{x}\)

The data mentioned in the question,

n = 20

s = 2

1 - \(\alpha\) = 0.98

The following equation may be used to calculate the standard error:

\(s_{x}\) = s ÷ √n

\(s_{x}\) = 2 ÷ √20

\(s_{x}\) = 0.4472

Now, the critical value \(Z_{\alpha /2}\) is found using MS Excel,

\(Z_{\alpha /2}\) = NORMSINV(\(\alpha /2\))

\(Z_{\alpha /2}\) = NORMSINV(0.9750)

\(Z_{\alpha /2}\) = 1.9599639845

Finally, the confidence interval's margin of error is:

ME = \(Z_{\alpha /2}\) × \(s_{x}\)

ME = 1.96 × 0.4472

ME = 0.8765

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Using the master theorem, the time complexity of the given recurrence relation T(N) - 9T(N/9)+N(IgN) has been found. The answer is T(n) = Θ(nlogb(a)) = Θ(n * log n), which implies that the time complexity is of O(nlog n).

For the given recurrence relation, T(n) - 9T(n/9)+N(IgN), we have to find the time complexity using the master theorem, which is given below:

Master Theorem:

Consider a recurrence relation T(n) = aT(n/b) + f(n), where a ≥ 1, b > 1 and f(n) is an asymptotically positive function. Then, we have the following cases:

Case 1: If f(n) = O(nᵏ) for some constant k < logb(a), then T(n) = Θ(nlogb(a)).

Case 2: If f(n) = Θ(nᵏlogm(n)) for some constant k = logb(a), then T(n) = Θ(nᵏlog(m+1)n).

Case 3: If f(n) = Ω(nᵏ) for some constant k > logb(a), and if a.f(n/b) ≤ cf(n) for some constant c < 1 and sufficiently large n, then T(n) = Θ(f(n)).

In the given recurrence relation, we have a = 9, b = 9 and f(n) = n * log n.

Comparing a with bᵏ, we get a = bᵏ.

∴ k = 1

Taking log with base 9 on both sides, we get:

log₉T(n) = log₉(9T(n/9) + n * log n)log₉T(n) = log₉9 + log₉T(n/9) + log₉n * log₉log(n)log₉

T(n) = 1 + log₉T(n/9) + log₉n * log₉log(n)For f(n) = n * log(n), nᵏ = n¹, so k = 1 > 0.

Therefore, according to master's theorem, T(n) = Θ(n * log n).

Using the master theorem, the time complexity of the given recurrence relation T(N) - 9T(N/9)+N(IgN) has been found. The answer is T(n) = Θ(nlogb(a)) = Θ(n * log n), which implies that the time complexity is of O(nlog n).

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undergoesAssuming the initial coordinate of the reference point is -4, 6

After translation (x +7 , y - 12)

The new position of the point will be (3, -6), that is it has been shifted to right 7 units and downward 12 units

Then it undergo a rotation counter-clockwise by 90 degrees

This transformation will make the coordinate be ( -6, -3 )

Thereafter it is translated by (x +5, y+ 3) (shifted to the right 5 units and upward 3 units)

The present position of the point is ( -1, 0)

Therefore

(x , y ) ----------> (-1 , 0 )

Answer:

f(4) =22

Step-by-step explanation:

f(x)=3x+10

Let x=4

f(4)=3*4+10

    Multiply

f(4) =12+10

Add

f(4) =22

Answer:

\(f(4 )= 22\)

Step-by-step explanation:

\(f(x) = 3x + 10\)

\(f(4) = 3(4) + 10\)

\(f(4) = 3 \times 4 + 10\)

\(f(4) = 12 + 10\)

\(f(4 )= 22\)

Answer: step 1

Step-by-step explanation:

Answer:

Tiffany's mistake is step one.

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

To find the midpoint add the x coordinates together and divide by 2

(1+ xb)/2 = 2

1+ xb = 4

xb = 4-1

xb =3

To find the midpoint add the y coordinates together and divide by 2

(7+ yb)/2 = 5

7+ yb = 10

yb = 10-7

yb =3

Answer:

1 4/8 or 1 1/2

Step-by-step explanation:

1 whole of a pizza is 8/8 and then add 4 slices left from the 12 slices,

so they sold 1 1/2 pizza

Answer: I believe the answer would be y = 3x.

Step-by-step explanation: I like to start by counting the x-values, then the y-values. Since the y-values are increasing by a constant of 3 and the x-values are increasing by 1, that would technically make the equation y = 3x + 0, but you don't need the 0 in this case. So it's just y = 3x. I hope this helps! :)

Answer:

the answer is 56.25

Step-by-step explanation:

.32x=18

×=56.25

All of the above :D

Sure hope this is helpful for you

Answer:

18

Step-by-step explanation:

i got it right on edge..

Answer:

k =  4

Step-by-step explanation:

If (x + 2) is a factor then f(- 2) = 0

f(x) = x³ - kx² + 2x + 7k , then

f(- 2) = (- 2)³ - k(- 2)² + 2(- 2) + 7k = 0      

     ⇒   - 8 - k(4) - 4 + 7k = 0

     ⇒  - 8 - 4k - 4 + 7k = 0

     ⇒ 3k - 12 = 0 ( add 12 to both sides )

     ⇒ 3k = 12 (divide both sides by 3 )

     ⇒ k = 4

Answer:

k = 4

Step-by-step explanation:

If x + 2 is a factor of x³ - kx² + 2x + 7k then

the value of x = -2

Solve for k

plug -2 as x in the expression.

expand the exponents

combine like terms

add 12 to both side

divide each side by 3

Answer: The sides of the right triangle are 8 cm, 15 cm, 17 cm and 6 cm, 8 cm, 10 cm.

Step-by-step explanation:

There is no any fraction of Pizza left for other toppings, so the required space for other toppings is Zero.

Fractions are used to represent portions of a full or collection of items. There are two parts to every fraction. The number which is at the top of the line is referred to as the numerator. It specifies the number of equal pieces taken from the overall amount or collection. Figure below the line is referred to as the denominator. It shows the number of identical items in a group or the total number of equal parts in a whole.

Ed place mushrooms on Pizza = 5/12

Ed place onions on Pizza = 7/12

Total Fraction of Pizza left = 1 - (5/12 + 7/12)

So Total fraction of Pizza left = 1 - (12/12)

So Total Pizza left = 0

So there is no any more Pizza left for any toppings.

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The complete Question is :

Ed place mushrooms on a 5/12 pizza and onions on a 7/12 pizza. How much more of the pizza is left for other toppings?

Answer:

82% is her highest score

Step-by-step explanation:

82 is greater than 23, 80, 17 and 20

The expected value of the number of games the two equally strong tennis players will play until one wins three games in a row is 14.

Let's consider the possible sequences of games that can occur until one player wins three games in a row. We will denote the winning player as W and the losing player as L. The sequences can be represented as a combination of W's and L's, such as WWL, WLW, LWW, etc.

The key insight is that for each sequence, the last game played must be won by the player who wins three games in a row. This means that the number of games played until the streak ends is fixed at three. However, the preceding games can have various combinations of wins and losses.

To calculate the expected value, we need to consider all possible sequences and their probabilities. Since each player has a 50% chance of winning each game, the probability of any specific sequence occurring is (1/2)^n, where n is the length of the sequence.

We can calculate the expected value by summing the product of the number of games played in each sequence and its corresponding probability.

Considering all possible sequences and their probabilities, the expected value of the number of games played until one player wins three games in a row is found to be 14.

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Answer:

c I think that is the answer

Answer:

choose B is the greatest variablity

Answer:4

Step-by-step explanation: i think not sure

The elevation of the Lucas Oil Stadium is 40735ft

We should know that elevation is defined as the Height of a geographic location above a fixed reference point

31 NFL stadium ranges from 3ft to 5280ft at Mecedez Benz Superdome, New Orleans, Louisiana

The elevation of the sports Authority field at mile high is 275

= 275+7(5280)ft

Multiplying the brackets, we have

275+40460ft

Adding up to get

40735ft

In conclusion, the elevation of Lucas Oil Stadium is 40730ft

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Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Answer:

Step-by-step explanation:

I think that<,> help show the relationship because you are comparing the 2 numbers by stating which is bigger than or smaller than the other.

HOPE IT HELPED

the answer is >,< because it is saying which number is bigger and which is snaller

Answer:

10-6x

Step-by-step explanation:

Distribute the 2 into the parentheses.

2(5)-2(3x)

10-6x

Hey there!

2(5 - 3x)

DISTRIBUTE 2 WITHIN the PARENTHESES

= 2(5) + 2(-3x)

= 10 - 6x

= -6x + 10

Therefore, your answer is: -6x + 10

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

1. \( \frac{6}{12} = \frac{1}{2} \)

2. \(\frac{24}{30} = \frac{4}{5} \)

3. \( \frac{9}{36} = \frac{1}{4} \)

4. \( \frac{15}{24} = \frac{5}{8} \)

5. \( \frac{9}{18} = \frac{1}{2} \)

6. \( \frac{12}{9} = \frac{4}{3} \)

7. \( \frac{5}{10} = \frac{1}{2} \)

8. \( \frac{24}{32} = \frac{3}{4} \)

9. \( \frac{10}{35} = \frac{2}{7} \)

10. \( \frac{18}{90} = \frac{2}{10} = \frac{1}{5} \)

11. \( \frac{8}{32} = \frac{1}{4} \)

12. \( \frac{18}{14} = \frac{9}{7} \)

13. \( \frac{2}{6} = \frac{1}{3} \)

14. \( \frac{12}{18} = \frac{6}{8} = \frac{3}{4} \)

15. \( \frac{24}{9} = \frac{8}{3} \)

16. \( \frac{7}{28} = \frac{1}{4} \)

17. \( \frac{6}{21} = \frac{2}{7} \)