65 + 2x + 2y + 25 + 65 = 360

Ashley and her four friends will need 5 hours and 19.57 minutes to make 1575 bags if Ashley takes 2/3 of a minute and each friend takes 75% longer.

The first sexagesimal fraction of an hour, or one-fifth of an hour, or 60 seconds, is known as the minute. On rare occasions, due to leap seconds, a minute in the UTC time zone has 61 seconds (A negative leap second might be inserted, producing a minute of 59 seconds; however, this has never occurred in more than 40 years under this system.) The minute can be used with SI units even if it isn't a SI unit. Minute or minutes is represented by the SI unit min (without a dot). Occasionally, people would slangy refer to minutes of time by the prime symbol.

Calculations:

For a bag, Ashley needs about 2/3 of a minute.

= Ashley prepare bag in 1 minute = 3/2  

Her friends takes 75%  Longer to prepare a bag

time taken by her friends =  2/3  + (75/100)(2/3)

= (2/3)( 1  + 3/4)

= (2/3)(7/4)

= 7/6  Minutes

Her one friend prepare bag in 1 minute =  6/7

Bag prepared by Ashley & her 4 friend in 1 Minute

=  3/2  +  4*6/7

=  (21 + 48)/14

= 69/14  Bag

69/14   Bag prepared in 1 minute

1 Bag prepared in    14/69   minutes

1575  bags prepared  in   1575  * 14/69

= 319.57 minutes

= 5 hrs  19.57 Minutes

To learn more about minute ,visit:

https://brainly.com/question/1658422

#SPJ4

To compute the z-score for each observation, we need to standardize the data using the formula z = (x - μ) / σ, where x is the individual observation, μ is the mean of the sample, and σ is the standard deviation of the sample.

Given the sample observations: 16, 11, 13, 22, 15, and 19, we can calculate the z-score for each observation as follows:

Calculate the mean (μ) of the sample:

μ = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 16

Calculate the standard deviation (σ) of the sample:

Step 1: Calculate the squared deviations from the mean for each observation:

(16 - 16)², (11 - 16)², (13 - 16)², (22 - 16)², (15 - 16)², (19 - 16)²

0, 25, 9, 36, 1, 9

Step 2: Calculate the variance:

Variance = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 ≈ 13.33

Step 3: Calculate the standard deviation:

σ = √(Variance) = √13.33 ≈ 3.65

Calculate the z-score for each observation:

z = (x - μ) / σ

For 16: z = (16 - 16) / 3.65 = 0 / 3.65 = 0

For 11: z = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37

For 13: z = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82

For 22: z = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64

For 15: z = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27

For 19: z = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82

The z-scores for the given sample observations are: 0, -1.37, -0.82, 1.64, -0.27, and 0.82.

To know more about z-score click here: brainly.com/question/31871890

#SPJ11

The correct answer is (D) AB is 4 x 4, BA is 2 x 2.

What is order of a matrix?

The order of a matrix refers to the number of rows and columns in the matrix. If a matrix has m rows and n columns, we say that it is an m x n matrix. The order of the matrix is written as "m x n".

In general, if A is an m x n matrix and B is an n x p matrix, then the product AB is an m x p matrix and the product BA is an n x n matrix.

In this case, A is a 4 x 2 matrix and B is a 2 x 4 matrix. Therefore, the product AB is a 4 x 4 matrix, and the product BA is a 2 x 2 matrix.

So the answer is (D) AB is 4 x 4, BA is 2 x 2.

To learn more about order of a matrix, visit the link:

https://brainly.com/question/31373779

#SPJ4

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

Answer:

The number 10/2 = 5 is an integer.

Step-by-step explanation:

An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...

Integer can be positive,  negative of zero.

\(\frac{10}{2}=5\)

It is a whole number so it is an integer.

- 0.3

It is not an integer as it has a fractional part.

\(\sqrt20\)

It also has a fractional part, so it is not an integer.

0.4

It also has a fractional part, so it is not an integer.

A linear regression function, f(t), that estimates the day's coffee sales with a high temperature is f(t) = -58t + 6,182.

The correlation coefficient (r) is -0.94.

Yes, r indicates a strong linear relationship between the variables because r is close to -1.

In order to determine a linear regression function and correlation coefficient for the line of best fit that models the data points contained in the table, we would have to use an online graphing tool (scatter plot).

In this scenario, the high temperature would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, the linear regression function and correlation coefficient are as follows:

f(t) = -58t + 6,182

Correlation coefficient, r = -0.944130422 ≈ -0.94.

In this context, we can logically deduce that there is a strong linear relationship between the data because the correlation coefficient (r) is closer to -1;

-0.7＜|r| ≤ -1.0   (strong correlation)

Read more on scatter plot here: brainly.com/question/28605735

#SPJ1

Missing information:

State the linear regression function, f(t), that estimates the day's coffee sales with a high temperature of t.  Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth.  Does r indicate a strong linear relationship between the variables?  Explain your reasoning.

Answer:

$79.08

Step-by-step explanation:

Find 20% of 65.90. 20% as a decimal is 0.20. Multiply 0.2 and 65.90.

65.90 x 0.20 = 13.18

Add 13.18 to the original price.

13.18 + 65.90 = 79.08

Answer:

Remember, a positive and a negative while being added is always a negative outcome, so when you add -29.03 + 26.5, you get -2.53

Answer: $406.30

Step-by-step explanation: The lawnmower is on sale for 15% off.  15% of 478 is 71.7. This means we can subtract 71.7 from 478 to get the new price of the lawn mower after sales.

478 - 71.7 = 406.30

Therefore, your answer would be $406.30 for the price of the lawn mower.

Have a great day! :)

The sale price is 406.3.

The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost.

Given:

Price= $478

and, Discount= 15% off

So, the sale price

= 478 - 478 x 15 /100

= 478 - 71.7

= 406. 3

Hence, the sale price is 406.3

Learn more about discount here:

https://brainly.com/question/3541148

#SPJ2

Angle 1 and 2 are equal because of correspondence angle

so , (78-2x) = (89-3x)

x = 89 - 78

x = 11

hence angle 1 = ( 78 - 2*11) = 56

and angle 2 = ( 89-3*11) = 56

So, both of angle is 56

hope it help and your day will full of happiness

Answer:

240

Step-by-step explanation:

8x3x10

Answer:

A C and D are not polynomial

The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

Find out more information about difference quotient here:

https://brainly.com/question/18270597

#SPJ4

Answer:

6+18x

Step-by-step explanation:

You typically would use PEMDAS in this situation but in the parenthesis, you can't add the 3 and the 9x together, so you just skip to 2*3 and 2*9x

Answer:

Step-by-step explanation:

if were trying to simplify it it would be 6+18x

Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

Answer:

Zc and Ze

Step-by-step explanation:

The two angles are vertical because they are vertically aligned with line x. If you were to draw a line straight through the middle of them they would have an equal amount of space one each side.

Answer:

40

Step-by-step explanation:

let the number be 'x'

95 % of x = 38

(95 / 100)x =38

x = 38 × 100 / 95

x = 2 × 100 / 5

x = 2 × 20

x = 40

Therefore, the optimal acreage for crop A is 55 acres, and the optimal acreage for crop B is 55 acres.

To optimize the yield, we need to find the optimal acreage for each crop while respecting the available time and land constraints.

Let's start by calculating the time required for trimming and picking for each crop:

Trimming time per acre for crop A: 1 day

Trimming time per acre for crop B: 2 days

Available trimming days: 170 days per year

Picking time per acre for crop A: 0.3 day

Picking time per acre for crop B: 0.1 day

Available picking days: 27 days per year

To maximize the yield, we need to allocate more acreage to the crop that has a higher yield per acre. Let's assume that we allocate x acres to crop A and (110 - x) acres to crop B. Then, the total yield would be:

Total yield = (yield per acre for crop A) x (acreage for crop A) + (yield per acre for crop B) x (acreage for crop B)

Total yield = 200x + 300(110 - x)

Total yield = 300x - 10000

Now, let's consider the time constraints. The total trimming time required would be:

Total trimming time = (trimming time per acre for crop A) x (acreage for crop A) + (trimming time per acre for crop B) x (acreage for crop B)

Total trimming time = x + 2(110 - x)

Total trimming time = -x + 220

The total picking time required would be:

Total picking time = (picking time per acre for crop A) x (acreage for crop A) + (picking time per acre for crop B) x (acreage for crop B)

Total picking time = 0.3x + 0.1(110 - x)

Total picking time = 0.2x + 11

We need to make sure that the total trimming and picking times do not exceed the available time:

\(Total trimming time \leq Available trimming days\)

\(-x + 220 \leq 170\)

\(x \geq 50\)

\(Total picking time \leq Available picking days\)

\(0.2x + 11 \leq 27\)

\(x \leq 80\)

Finally, we need to respect the land constraint:

\(x + (110 - x) = 110\)

Simplifying this equation, we get:

\(x = 55\)

Therefore, the optimal acreage for crop A is 55 acres, and the optimal acreage for crop B is 55 acres.

To know more about time, visit

https://brainly.com/question/28050940

#SPJ1

Answer: (n + 5)(n - 5)

Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.

In the second position, we use +5 and -5 as our factors of -25.

So our answer is (n + 5)(n - 5).

Answer: Equation form: y=mx+b m=slope b=y-intercept slope= -375 y-intercept= 29000 equation: population now, 0 years x = years from now y= -375x + 29000 375x=3000 x=8

Step-by-step explanation:

The dot plot of the data values is added as an attachment

From the question, we have the following parameters that can be used in our computation:

85,88,75,100,90,90,88,72,72,79,88,85

Next, we create a frequency table

So, we have

Values   Frequency

72             2

75             1

79             1

85            2

88            3

90           2

100          1

Total      12

Using the frequency table above, we create the dot plot

See attachment for the dot plot

Read more about dot plot

https://brainly.com/question/30117279

#SPJ1

it is not clear whether the data is related to proportions or not. Therefore, the statement that "the Success/Failure Condition is satisfied for sample sizes of at least 75" may not be applicable in this context.

In statistics, the normal distribution or Gaussian distribution is a continuous probability distribution that is commonly used to approximate the distribution of many random variables. One of the main applications of the normal distribution is to model the sampling distribution of the sample mean. However, the accuracy of the normal approximation depends on the sample size.

To determine the smallest sample size that would be reasonable to use the normal model as an approximation for the sampling distribution, we need to look at the histograms of the data. If the histograms are approximately bell-shaped and symmetric, the normal model is likely to be a good approximation.

In this case, it is stated that the normal model would be reasonable to use for a sample size of at least 75. This means that if the sample size is 75 or larger and the histogram is approximately bell-shaped and symmetric, we can use the normal model to approximate the sampling distribution of the sample mean.

Regarding the Success/Failure Condition, it is a condition that applies when we are using the normal model to approximate the sampling distribution of a proportion. The condition states that if np and n(1-p) are both at least 10, where n is the sample size and p is the probability of success, then we can use the normal model to approximate the sampling distribution of the proportion.

However, in this case, it is not clear whether the data is related to proportions or not. Therefore, the statement that "the Success/Failure Condition is satisfied for sample sizes of at least 75" may not be applicable in this context.

To know more about Histograms:

https://brainly.com/question/30479620

#SPJ11

Since the z-score for the male weighing 1700 g is -2.78 and the z-score for the female weighing 1700 g is -0.92, the male has the weight that is more extreme.

The z-score measures how many standard deviations a data point is away from the mean. We can calculate the z-scores as follows:

For the male weighing 1700 g:

z_male = (1700 - 3201.5) / 714.3

For the female weighing 1700 g:

z_female = (1700 - 3081.19) / 512.8

To determine who has the weight that is more extreme, we compare the absolute values of the z-scores. The data point with the larger absolute z-score is considered more extreme relative to its respective group. Therefore, we compare |z_male| and |z_female|.

If |z_male| > |z_female|, then the male weighing 1700 g is more extreme.

If |z_male| < |z_female|, then the female weighing 1700 g is more extreme.

By calculating the z-scores and comparing their absolute values, we can determine which individual's weight is more extreme relative to their respective group.

Learn more about z-score here:

https://brainly.com/question/31871890

#SPJ11

The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

To learn more about logarithm

https://brainly.com/question/12603491

#SPJ11

Answer:

  -61/16

Step-by-step explanation:

The version of successive approximation you are using here is one that starts with an interval containing the solution, then cuts that interval in half with each iteration. The end result of each round of iteration is a new approximation to the solution: the midpoint of the smaller interval.

The graph shows the curves cross at a point between x = -4 and x = -3, so the initial interval is [-4, -3]. We have defined the function h(x) = g(x) -f(x) so that h(-4) < 0 and h(-3) > 0. The sign of h(x) will tell which interval limit gets replaced:

  h(x) > 0   ⇒   x replaces the upper limit

  h(x) < 0   ⇒   x replaces the lower limit

The initial estimate of the solution is (-4 +(-3))/2 = -7/2. (iteration 0)

  h(-7/2) > 0, so the interval becomes (-4, -7/2), and the approximate solution after iteration 1 is x ≈ -15/4.

  h(-15/4) > 0, so the interval becomes (-4, -15/4), and the approximate solution after iteration 2 is x ≈ -31/8.

  h(-31/8) < 0, so the interval becomes (-31/8, -15/4) and the approximate solution after iteration 3 is x ≈ -61/16

__

Additional comment

Note that we don't really care about the function value when we do iteration this way. We only care about the sign of the function value. Other iteration methods use the function values to try to approximate the root. The secant method uses a linear approximation between the function values at the end points of the interval to choose a new value for x.

Answer:

The 8 is in the hundredths place.

The 6 is in the thousandths place.

2.586 is equivalent to (2 × 1) + (5 × 0.1) + (8 × 0.01) + (6 × 0.001).

Answer:

Step-by-step explanation: A  B  E   are the right ones,     credit to apo16

Answer:

\(\huge\boxed{15 \pi \ \text{or} \approx 47.1 \ \text{in.}}\)

Step-by-step explanation:

We can note a couple of relationships in this circle.

The arc length will be a fraction of the circumference. It will be the same fraction of the circumference that the central angle is to the entire circle.

First step: Find the circumference of the circle.

The circumference of any circle can be defined by the formula \(2 \pi r\), where r is the radius of the circle. The radius is given to us, 30 in. We can now substitute that into the formula.

So our circumference is 60π.

Second Step: Find the ratio of the central angle of the arc to the total circle degrees

We know that the total amount of degrees in a circle is 360°. Therefore, we can set up a proportion to find the ratio between the central angle (90°) and the total circle measurement.

\(\frac{90}{360}\)

Third Step: Equal out the two proportions and solve for the missing arc length

Now that we have our base proportion (\(\frac{90}{360}\)), we can turn 60π into a proportion as well, leaving 60π as the denominator so we can solve for the arc length.

\(\frac{x}{60 \pi} = \frac{90}{360}\)

We can now solve for x by cross multiplying.

Hope this helped!

Answer:

the answer should be 16, if you're looking for X that is

Answer:

c. The mapping represents y as a function of x, because each x-value is related to exactly one y-value.

Step-by-step explanation:

A mapping can be considered to be a function if any of the following conditions met:

1. Every x-value has exactly only 1 possible y-value mapped to it.

2. Two or more x-values can be mapped to the same y-value provided each x-value is not having more than 1 y-value. That is, provided condition 1 is maintained.

Now looking at the mapping given, every x-value you see there is mapped to exactly just 1 y-value. No x-value is mapped to more than 1 y-value.

However, 3 different x-values, -3, 0, and 8, have the same y-values, 4. This also fulfills the condition for a mapping to be regarded as a function, as a y-value of a function can have more than 1 possible x-value mapped to it.

Therefore the mapping represents y as a function of x.

The mapping represents y as a function of x, because each x-value is related to exactly one y-value.

A mapping can be considered to be a function if any of the following conditions met:

Condition : Mapping denotes the relation from Set A to Set B. Relation from A to B is the subsets A\(\times\)B. Mapping the oval on the left-hand side denotes the values of Domain and the oval on the right-hand side denotes the values of Range.

Now looking at the mapping given, every x-value you see there is mapped to exactly just 1 y-value. No x-value is mapped to more than 1 y-value.

However, 3 different x-values, -3, 0, and 8, have the same y-values, 4. This also fulfills the condition for a mapping to be regarded as a function, as a y-value of a function can have more than 1 possible x-value mapped to it.

Therefore the mapping represent y as a function of x.

For more information follow the link gives below

https://brainly.com/question/19717685

Answer:

El pH del refresco es 3.42.

Step-by-step explanation:

Se puede calcular el pH del refresco usando la siguiente fórmula:

\(pH = -log([H^{+}])\)

En donde:

[H⁺]: es la cocentración de los iones H⁺ de la solución

Entonces, el pH es:

\(pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42\)

El resutlado obtenido nos permite concluir que ese refresco es ácido.

Por lo tanto, el pH del refresco es 3.42.

Espero que te sea de utilidad!

Usando su fórmula, se encuentra que el valor de PH de ese refresco​ es dado por 3.42.

Es dada por:

\(pH = -\log{H^{+}}\)

Onde \(H^+\) es la concentración.

En este problema, hay que la concentración es de \(H^+ = 3.8 \times 10^{-4}\), por eso:

\(pH = -\log{H^{+}}\)

\(pH = -\log{3.8 \times 10^{-4}}\)

\(pH = 3.42\)

El valor de PH de ese refresco​ es dado por 3.42.

Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414