Rewrite 1.18 as a fraction in lowest terms.

1 18/100
1 5/9
1 10/18
1 9/50

The 8th term in the geometric sequence, where the first term is 4 and the common ratio is 2, is equal to 512.

In a geometric sequence, each term after the first is obtained by multiplying the preceding term by a constant called the common ratio. The formula for the nth term in a geometric sequence is given by:

a_n = a_1 * r^(n-1)

In this case, we are given that the first term (a_1) is equal to 4 and the common ratio (r) is 2. To find the 8th term (a_8) of the sequence, we can substitute these values into the formula:

a_8 = 4 * 2^(8-1)

Simplifying:

a_8 = 4 * 2^7

   = 4 * 128

   = 512

Therefore, the 8th term in the geometric sequence, where the first term is 4 and the common ratio is 2, is equal to 512.

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The 12 of each type of the ring would give max profit for the company.

Let x = number of VIP rings: let y = number of SST rings

:

The total production inequality;

x + y =< 24

y = 24 - x; arranged to plot graph (purple)

:

The labor inequality;

3x + 2y =< 60

2y = 60 - 3x

y = 60/2 - (3/2)x

y = 30 - 1.5x; arranged to plot the graph (red).

From the graph, the 3 corners of the area of feasibility (at or below the lines whichever is lower):

: x/y;.....profit on each type;... total profit

0,24; 40(0) + 35(24) = 0 + 840 = $840

12,12; 40(12) + 35(12) = 480 + 420 = $900

20,0; 40(20) + 35(0) = 800 + 35(0) = $800.

Therefore, the 12 of each type of the ring would give max profit for the company.

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The p-value of this new study is 0.055

Given that,

Assume that a second study of millennials was conducted with the same sample size, 99% confidence level, and methodology.

The probability that the sample proportion is greater than the crucial value is known as the p-value. In other words, the probability that the null hypothesis would be rejected is the p-value. Assume that the real ratio in our situation is 0.69. If so, there is a 0.05 percent chance that the sample percentage is higher than or equal to the observed proportion.

The correct response is therefore If the true proportion was 0.69, he would obtain a sample proportion with a probability of 0.055 that was at least as large as what he observed.

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A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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Yes, sampling procedures were utilized to gather this demographic data since it would be quite difficult to count 150,000 people directly.

The sample size is the quantity of data used to derive estimates for a certain population. The sample size was determined from the population. The number of people or observations included in a study is referred to as the "sample size." This number is frequently shown as n. Two statistical factors are affected by sample size: 1) The accuracy of our estimations; 2) Research's capacity to draw inferences. Samples are the outcomes of random tests. In sampling, a specific value is selected from a set of possible values. This unique value is a sample. The potential values and probabilities of the random variable are determined by its probability distribution.

given

To establish a representative sample, where the small population (sample) perfectly represents the traits of the larger group, is sampling's main objective (population).

Yes, sampling procedures were utilized to gather this demographic data since it would be quite difficult to count 150,000 people directly.

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Answer:

x = 6

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\) , then

\(3^{-2}\) × \(3^{x}\) = 81 , that is

\(3^{x-2}\) = \(3^{4}\)

Since the bases on both sides are equal, both 3 then equate the exponents

x - 2 = 4 ( add 2 to both sides )

x = 6

Answer:

final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56

Step-by-step explanation:

final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56

The final cost of the TV would be $1,063.50.

To calculate this:

First, calculate the discount by multiplying the original price of the TV ($1,250) by 15% (0.15). This equals $187.50.

Subtract the discount from the original price of the TV ($1,250 - $187.50 = $1,062.50)

Next, calculate the sales tax by multiplying the price after the discount ($1,062.50) by 6% (0.06). This equals $63.75

Finally, add the sales tax to the price after the discount ($1,062.50 + $63.75 = $1,063.50)

y  =  − 1 /8x - 19/4

i think

Answer:

\(y = f(x)= 3x^2+12x+19\)

Step-by-step explanation:

\(y = f(x)= 3(x + 2)2 + 7\)

\(y = f(x)= 3(x^2+4x+4) + 7\)

\(y = f(x)= 3x^2+12x+12 + 7\)

\(y = f(x)= 3x^2+12x+19\)

The speed of the particle when it is moving parallel to the y-axis is approximately 17.88 m/s.

When the particle moves parallel to the y-axis, its velocity component in the x-direction is zero. Therefore, we need to find the value of t for which the x-component of the velocity becomes zero.

Given that the x-component of the velocity is (2t - 8), we set it equal to zero and solve for t:

2t - 8 = 0

2t = 8

t = 4

At t = 4 seconds, the particle is moving parallel to the y-axis. To determine the speed of the particle at this instant, we calculate the magnitude of its velocity:

v = √[(2t - 8)^2 + ((2/t^2) - 18)^2]

v = √[(2(4) - 8)^2 + ((2/(4^2)) - 18)^2]

v = √[0^2 + ((2/16) - 18)^2]

v = √[0 + (-17.875)^2]

v ≈ 17.88 m/s

Therefore, the speed of the particle when it is moving parallel to the y-axis is approximately 17.88 m/s.

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Answer:

15.12$

Step-by-step explanation:

Gallons = 12.6

Cost = $1.20

Gasoline Cost = ??

12.6 ×1.20

=15.12

Hence, gasoline will cost 15.12 $

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Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

Answer:

16

Step-by-step explanation:

-2 to the 4th power is expressed as;

= (-2)^-4

= -2 × -2 × -2 × -2

= (-2×-2)×(-2×-2)

= 4×4

= 16

Hence -2 to the 4th power is equal to 16

Answer:

F

Step-by-step explanation:

she spins it 2 times and there's 4 different spinners on the board

there's 1 * on the board so

* = 1/4

there's 1 & on the board so

& = 1/4

its 1/4 for both

so 1/4 + 1/4 = 2/8 or .25

2/8 = 1/4

Answer:

f

Step-by-step explanation:

The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.

The current value of Joy's portfolio is $21,771. She purchased the stocks using a broker, and we need to find the broker fee 'f'.

The total cost of the transaction, including the broker fee, would be the current value of the portfolio. Therefore, we can set up the equation:

s + f = 21,771

Since we are solving for 'f', we rearrange the equation:

f = 21,771 - s

The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.

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Answer:

plate cost 50

cup cost 45

Step-by-step explanation:

(8×(X+5)) + (12×X) =940

x=45

therefore

plate cost 50

cup cost 45

For the provided points (-7,-8) and (-5,-6) on the line, the slope is 1.

The slope of a line is a measure of its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Here,

Slope=(y2-y1)/(x2-x1)

=(-6-(-8))/(-5-(-7))

=2/2

=1

The slope of the line for given point (-7,-8) and (-5,-6) will be 1.

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Step-by-step explanation:

Hey there!

Consecutive numbers are those numbers which comes from one after another without any gaping.

You can find consecutive numbers easily.

To find:

Natural consecutive numbers= 1,2,3,4,5.........

If your first natural number is "n" next is "n+1". Suppose if your first number is 1 when you add "1" again it becomes "2".

To find:

Consecutive even number= 2,4,6,8...............

In every step 2 more is added.

Steps : Let first number be "x" then second number is "X+1". Then 3rd number will be "x+4".

Suppose your first number is 2 then second will be 2+2= 4.

To find:

Consecutive odd number= 1,3,5,7,9.........

In every step add 2.

Steps: Let first number be "x" then second number will be "x+2". Suppose your first number is 5 then 2nd number will be 5+2=7.

Note: consecutive odd and consecutive even number has difference of 2 so, after 1st number we add 2 to find next number.

So, in this way we find consecutive numbers.

Hope it helps...

Answer: Perimeter of given square:40,Area of given square:100

Perimeter of Dilated square:200

Area of Dilated square: 2500

Step-by-step explanation:

Answer:

6 ducks

Step-by-step explanation:

Monday, Brian counted 28 ducks and Cathy counted 15 ducks

                = 28+15 =43

Tuesday, they counted 37

Monday count - Tuesday count

43 - 37 =6

Answer:

Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.

Step-by-step explanation:

Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.

Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.

The rate of change in the given graph is 21/4.

The rate of change defines the speed of a variable changes over another variable. On the given graph, we can calculate the rate of change using the formula:

Rate of change = Δy / Δx

To calculate the rate of change of the given graph, we need to identify 2 points first. We take:

(0, 0)

(4, 21)

Rate of change = Δy / Δx

Rate of change = y₂ - y₁

                             x₂ - x₁

Rate of change = 21 - 0

                               4 - 0

Rate of change = 21/4

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The statement "The control limits represent the range between which all points are expected to fall if the process is in statistical control" is True.

Control limits play a crucial role in statistical process control (SPC) by delineating the range within which all data points are anticipated to fall if the process operates under statistical control.

These limits, usually set at a certain number of standard deviations from the process mean, aid in assessing whether a process exhibits statistical control. The commonly employed control limits are ±3 standard deviations, which encompass approximately 99.7% of the data when the process adheres to a normal distribution and maintains statistical stability.

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A cohort study has an advantage over a case-control study when the exposure in question is rare. Correct option is E.

When the exposure in question is rare, a cohort study is advantageous compared to a case-control study. In a cohort study, a group of individuals is followed over time to determine the occurrence of outcomes based on their exposure status. By including a large number of individuals who are exposed and unexposed, a cohort study provides a sufficient sample size to study rare exposures and their potential effects on the outcome.

In contrast, a case-control study selects cases with the outcome of interest and controls without the outcome and then examines their exposure history. When the exposure is rare, it may be challenging to identify an adequate number of cases with the exposure, making it difficult to obtain reliable estimates of the association between exposure and outcome.

Therefore, when studying a rare exposure, a cohort study is preferred as it allows for a larger sample size and better assessment of the exposure-outcome relationship.

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Answer: 5/12

Here is a really quick way to divide fractions. In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign:

1/6 x 2/5

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

The complete answer is below (simplified to the lowest form):

1x5 / 6x2 = 5/12

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

5/12 = 0.4167

Answer: 5/12

Step-by-step explanation: When solving this equation you are going to have to use a method called keep, change, flip. you would keep \(\frac{1}{6}\) , change the division symbol to multiplication (because multiplication is the opposite of division) and flip \(\frac{2}{5}\) to \(\frac{5}{2}\).

Answer:No solution

Step-by-step explanation:

|x + 4| = -1

The expression |x + 4| is telling us that regardless the value of x, the expression will always be positive, since we are taking the absolute value of whatever result x+4 provides.  We can try x = -1000.  

|-1000 + 4|

|-996|

996

There is no value of x that could possibly result in -1 as a solution to |x + 4|