Worker A earns $8.10 per widget produced, produces 10 widgets per day, and works 9 hours per day. Worker B earns $8.40 per widget produced, produces 8 widgets per day, and works 7 hours per day. Which of these statements is true?

A. Worker B earns more per day than worker A but less per hour than worker A.
B. Worker A earns more per day than worker B but less per hour than worker B.
C. Worker A earns more per day than worker B and more per hour than worker B.
D. Worker B earns more per day than worker A and more per hour than worker A.

Hence, the difference in mean is represented as:

                         12=2.5×5

where 5 is the range and 12 is the difference in the mean.

Shade plant Height (in.)

7    11     11      12      9      12      8     10

Minimum value=7

and Maximum value=12

Range=Maximum value-Minimum value

This means that Range is: 12-7=5

Also, the mean is calculated as follows:

[tex]Mean=\dfrac{7+11+11+12+9+12+8+10}{8}\\\\\\Mean=\dfrac{80}{8}\\\\\\Mean=10[/tex]

Sun Plant heights (in.)

21    24    19    19     22    23    24    24

Minimum value=19

and Maximum value=24

Range=Maximum value-Minimum value

This means that Range is: 24-19=5

Also, the mean is calculated as follows:

[tex]Mean=\dfrac{21+24+19+19+22+23+24+24}{8}\\\\\\Mean=\dfrac{176}{8}\\\\\\Mean=22[/tex]

Difference in mean is: 22-10=12

Also, the range of both the set is:  5

Hence, the difference in mean could be expressed as:

       12=5×n

Hence, n=2.5

The expression (12 = 5×2.4) represents the difference in the means as a multiple of their ranges if the mean for the first data set is 10 and for the second data set is 22.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

For the first data:

The mean can be calculated as follows:

[tex]\rm Mean = \frac{\sum x}{n}[/tex]

[tex]\rm Mean = \frac{7 + 11+ 11+ 12 + 9+ 12+ 8+ 10}{8}[/tex]

Mean(1st data set) = 10

For range:

The minimum value in the data set = 7

The maximum value in the data set = 12

Range = 12 - 7 ⇒ 5

For the second data set:

The mean can be calculated as follows:

[tex]\rm Mean = \frac{\sum x}{n}[/tex]

[tex]\rm Mean = \frac{21 + 24 + 19 + 19 + 22 + 23 + 24 + 24}{8}[/tex]

Mean(2nd data set) = 22

For range:

The minimum value in the data set = 19

The maximum value in the data set = 24

Range = 24- 19 ⇒ 5

Difference in means = 22 - 10 ⇒  12

Since the range is the same for both the data set.

From the problem:

12 = 5×n

n = 2.4

Thus, the expression (12 = 5×2.4) represents the difference in the means as a multiple of their ranges if the mean for the first data set is 10 and for the second data set is 22.

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Final answer:

Victor's monthly payment for the $6800 loan at 13.5% APR over 3 years is approximately $227.46.

Explanation:

To calculate Victor's monthly payment for a loan of $6800 at an APR of 13.5% over 3 years, we need to first convert the annual rate to a monthly interest rate. This is done by dividing the APR by 12 (months in a year). So, the monthly interest rate is 13.5% divided by 12, which is approximately 1.125% per month or 0.01125 in decimal form.

Next, we use the formula for an amortizing loan payment:

P = (Pv*r) / (1 - (1+r)⁻ⁿ)

Where P is the monthly payment, PV is the present value or the amount of the loan, r is the monthly interest rate in decimal form, and n is the total number of payments (months).

For Victor's loan, we have:

Present Value (PV) = $6800
Monthly Interest Rate (r) = 0.01125
Total Number of Payments (n) = 3 years * 12 months/year = 36 months

Substituting the given values into the formula yields:

P = ($6800 * 0.01125) / (1 - (1+0.01125)⁻³⁶)

Calculating the above expression, we find that Victor's monthly payment is approximately $227.46, which is one of the options given.

Answer:

The cost of the gallon of the apple juice is approximately $1.51 in 1990. (Option C)

Step-by-step explanation:

As it can be assumed that the increase of the gallon of apple juice is proportional to the increase of the CPI, we can state that the rate of the price of 1990 to the price of 1980 is the same than the rate of the CPI in 1990 to the CPI in 1980:

$130.7 / $82.4 = Pg (1990)/ $0.95

Where Pg (1990) is the apple juice gallon cost for 1990. By solving the equation above:

$130.7 / $82.4 * $0.95 = Pg (1990)

Pg (1990) = $1.5068 ---> Pg (1990) = $1.51

The best answer for this question would be:

D. 32

In order to get this, you have to get the sum in the line, which is the first four people. So the solution would be: 4(23) = 92

For getting the sum of the people in the last 3 would be: 3(34) = 102

Next is the sum of everyone which the solution would be: 6(27) = 162

So the initial solution that we have now would be: F + 92 - F + 102- F = 162

- F + 194 = 162

- F = 162 - 194

- F = - 32

The (F) here or the fourth person’s age would be= -32 / - 1 or 32

Would it still be the same if the 6 was terminated?

The 12th term in the sequence is 61.

The given sequence is defined by the formula A(n) = -5 + 6(n-1), where n represents the term number. To find the 12th term, substitute n = 12 in the formula.

A(12) = -5 + 6(12-1) = -5 + 6(11) = -5 + 66 = 61

Therefore, the 12th term in the sequence is 61.

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The 12th term of the arithmetic sequence is calculated using the formula A(n) = -5 + 6(n-1) by substituting n with 12, resulting in the term being 61.

The 12th term of the sequence can be found using the arithmetic sequence formula provided. We will use the clarified formula A(n) = -5 + 6(n-1) to find the 12th term.

Firstly, plug in the value of n = 12 into the formula to compute the 12th term:

Therefore, the 12th term in the sequence is 61.

Answer:

[tex]m\angle P=12^{\circ}[/tex]

Step-by-step explanation:

Two triangles are similar if their angles are equal one to one.

So:

[tex]m\angle P= m\angle S\\m\angle Q= m\angle T\\m\angle R= m\angle U[/tex]

Also, the problem provided this data:

[tex]m\angle T= 6(m\angle P)[/tex]

As you may know, the sum of the interior angles of a triangle is equal to 180, so:

[tex]m\angle S+m\angle T + m\angle U=180\\\\Where:\\\\m\angle T=6(m\angle P)\\\\So:\\\\m\angle S+6(m\angle P) + m\angle U=180[/tex]

and:

[tex]m\angle P=m\angle S\\\\Hence\\\\m\angle S+6(m\angle S) + m\angle U=180\\\\7(m\angle S) + m\angle U=180\\\\7(m\angle S) + 96=180[/tex]

Solving for [tex]m\angle S[/tex]

[tex]m\angle S =\frac{180-96}{7} =12^{\circ}[/tex]

Since:

[tex]m\angle P= m\angle S=12^{\circ}[/tex]

Therefore [tex]m\angle P=12^{\circ}[/tex]

The graph is the region (-∞,18)

i.e. the shaded region to the left of 18 and open circle at 18.

It was given that the cost of the current plan is: $ 175 per month.

Also, the flat rate of new plan is: $ 94

Also, cost of 1 device is: $ 4.50

cost of x device is: $ 4.50x

Total cost of the new plan for x devices is: $ (94+4.50x)

Now we are asked to find the inequality such that the total cost of new plan is less than the current plan i.e.

94+4.50x < 175

i.e. 4.50x < 175-94

i.e.  4.50x < 81

i.e. x<18

Hence,the graph would be a line to the left of 18 with open circle at 18, since the inequality is strict.

Answer:

21.5 I TOOK THE TEST

Step-by-step explanation:

The highest altitude of an altocumulus cloud is [tex]3^{9}[/tex] feet.

The lowest altitude mentioned is [tex]3^{8}[/tex] feet. To find the highest altitude, we should multiply the lowest altitude by 3. Therefore, the highest altitude will be

3 x [tex]3^{8}[/tex]

which can also be written as

[tex]3^{1}[/tex]x [tex]3^{8}[/tex]  

Applying the rule of exponents where you add the exponents when you multiply the bases that are the same, we get the highest altitude as [tex]3^{9}[/tex] feet.

Final answer:

The statement that is NOT true is that a function can have several y-intercepts.

Explanation:

NOT true statement: C. A function can have several y-intercepts.

In a Cartesian plane, a function typically has only one y-intercept, where it crosses the y-axis.

A y-intercept represents the point where the function intersects the y-axis, indicating the value of the function when the input is zero.

In the equation p=108−23d, the value 108 represents the total number of phones that Kathy receives each week for repair.

In the given equation p=108−23d, the number 108 represents the total number of phones that Kathy receives each week for repair.

This means that at the start of her work week, before she begins to fix any phones, she has 108 phones that need repairs.

As each day passes (represented by d), the number of phones that Kathy has left to fix decreases by 23, which is the number of phones she is able to repair in one day.

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