Solve this proportion c-1/c+2=4/7

Answer:

In the example given, 5my × 5ym, you can simplify it using the commutative property of multiplication as follows:

5my × 5ym = 5 × 5 × m × m × y × y

= 25m²y²

So, the answer is 25m²y².

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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The probability of rolling and odd number with both dice A and B is 1/4.

Probability simply means the likelihood that an event will occur on a scenario.

Since Dice A and dice B have ten sides,the numbers will be from 1 to 10. Therefore, there are 5 even numbers and 5 odd numbers.

Probability of odd number = 5/10 = 1/2

Probability of even number = 5/10 = 1/2

Probability of rolling both odd numbers will be:

= P(odd) × P(odd)

= 1/2 × 1/2

= 1/4

The probability is 1/4.

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234.4 .zmmansbdhdgdgddhdhdd

Answer:

\(t \: = \: 36.86 \: hrs.\)

Step-by-step explanation:

\(if \: A = p(2) {}^{ \frac{t}{3} } \: then \: \frac{t}{3} \: = log_{2}( \frac{A}{p} ) \\ so \: \frac{t}{3} = log_{2}( \frac{1.0 \times {10}^{6} }{2.0 \times {10}^{2} } ) = \\ \frac{t}{3} = 12.2877 \: hence \: t \: is \: 12.2877 * 3 = 36.8631 \)

True. the empty set (or null set) is a subset of every set

In mathematics, a set is a collection of objects or elements. A null set or empty set is a set that contains no elements. It is denoted as ∅ = { }. The intersection of two disjoint sets -- two sets that contain no elements in common -- is the null set.

The empty set, denoted by ∅ or {}, is considered a subset of every set. This is because every element in the empty set is also an element of any other set. In other words, the empty set does not contain any elements that could contradict its inclusion in another set. Therefore, it is true to say that the empty set is a subset of every set.

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The graph shown in option (B) represents the solution to the inequality y<1/2x-4

A relation between two mathematical expressions which are not equal is known as inequality.

The inequality symbol is "<" (less than).

So, the line of the graph should be dashed and shaded below the line.

Comparing the graphs given in the question, we can conclude that option (B) is correct.

Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.

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Answer:

B aka y<1/2x-4

Step-by-step explanation:

I did this before

The answer is x  =  124 ,  − 119

The correct answer is C. $11,250.

To calculate the interest on a 90-day, 9% note for $50,000, we can use the simple interest formula:

Interest = Principal × Rate × Time

Given:

Principal (P) = $50,000

Rate (R) = 9% = 0.09 (decimal)

Time (T) = 90 days

Since the interest is calculated based on a 360-day year, we need to convert the time in days to a fraction of a year:

Time (T) = 90 days / 360 days = 0.25 (fraction of a year)

Now we can calculate the interest:

Interest = $50,000 × 0.09 × 0.25

Interest = $11,250

Rounded to the nearest dollar, the interest on the 90-day, 9% note for $50,000 is $11,250.

Therefore, the correct answer is C. $11,250.

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False. The student t distribution may be used to construct a confidence interval for the mean of a population that is normally distributed, so long as the sample size is small.

The student t distribution may be used to construct a confidence interval for the mean of any population, so long as the sample size is small. The student t distribution is a probability distribution that is used to estimate the population mean when the sample size is small and the population standard deviation is unknown. The student t distribution is also used to construct confidence intervals for the population mean.

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Answer:

she would be able to buy 40 lunches

Step-by-step explanation:

Subtract  100  from both sides of the inequality

Divide each term by   −2  and simplify.

The solution to the inequality 100 – 2x < 20 is x > 40

How to find solution to an inequality?

She set aside $100 to buy school lunches for the year. Each school lunch cost $2.

Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.

100 – 2x < 20

The solution of the inequality is as follows;

100 – 2x < 20

subtract 100 from both sides

100 - 100 - 2x < 20 - 100

-2x < - 80

divide both sides by -2

x > 40

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The value of F at f(2.5) is  mathematically given as

f(2.5) =17.3

Generally, the equation for  F(2) is  mathematically given as

f(2)=14  f'(2)=6.6  x=2.5

(y-y1) = m(x-x1)

y-14) = 6.6(x-2)

y-14 =6.6x-13.2

y =6.6x+0.8

Therefore

f(x)=6.6x+0.8

then

f(2.5) =6.6(2.5)+0.8

f(2.5) =17.3

In conclusion, The value of F at f(2.5) is  

f(2.5) =17.3

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Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:

\(\frac{4}{9}\)

It is given by the change in the output divided by the change in input.

In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:

r = (12 - 8)/(13 - 4) = 4/9.

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Answer:

B

Step-by-step explanation:

4/13

Answer:

33

Step-by-step explanation:

[(3+5)⋅2−5]⋅3

[8·2−5]⋅3

[16−5]⋅3

11⋅3

33

Answer:

33

Step-by-step explanation:

Lets break it down. Remember PEMDAS

[(3+5)⋅2−5]⋅3

[(8)⋅2-5]⋅3 start with the parenthisis

[16-5]⋅3 multiply

[11]⋅3

33

hope this helps :)

The value of AB in the right triangle is 21.8.

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sides and angles o a right triangle can be found using trigonometric ratios.

Therefore, let's use trigonometric ratios to find the length AB of the right triangle.

Hence,

tan ∅ = opposite / adjacent

opposite side = AB

adjacent side = 17 units

Hence,

tan 52° = AB / 17

cross multiply

AB = 17 tan 52

AB = 17 × 1.27994163219

AB = 21.7590077473

Therefore,

AB ≈ 21.8

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Answer:

$8421.60

Step-by-step explanation:

First, we need to convert the dimensions of the deck from yards to square yards, since the cost is given per square yard.

The area of the deck is the product of its length and width:

8 yards * 12 yards = 96 square yards

So, the cost to build the deck is:

$87.85/square yard * 96 square yards = $8421.60

Therefore, it cost $8421.60 to build the deck.

Answer:a b and c

Step-by-step explanation:

We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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In this question, we want to find the weight of dog and the dog weighs approximately 18.19 pounds.

To convert kilograms to pounds, we can use the conversion factor that 1 kilogram is approximately equal to 2.20462 pounds.

In this case, the dog weighs 8.25 kilograms. To find the weight in pounds, we multiply the weight in kilograms by the conversion factor:

8.25 kilograms * 2.20462 pounds/kilogram = 18.188325 pounds.

Rounding to two decimal places, the dog weighs approximately 18.19 pounds.

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False, If xy is an even integer, then it is not necessary x and y are both even integers.

We have to given that,

The statement is,

''if x y is an even integer, then x and y are both even integers.''

Now, Let us assume that,

x = 3

y = 2

Then, we get;

xy = 2 × 3 = 6

Which is even integer

But 3 is not an even integers.

Hence, If xy is an even integer, then it is not necessary x and y are both even integers.

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(a) Let X be the length of a cylindrical metal bar. Then, X ~ N(11, 0.25^2), meaning X is normally distributed with mean 11 cm and standard deviation 0.25 cm. To find P(X > 10.5), the probability that a randomly selected cylindrical metal bar has a length longer than 10.5 cm.

To solve this, we can standardize X using the z-score formula:

z = (X - μ) / σ

where μ = 11 (mean) and σ = 0.25 (standard deviation).

So, we have:

z = (10.5 - 11) / 0.25 = -2

Now, we can find the probability using a standard normal distribution table or calculator:

P(X > 10.5) = P(Z > -2) ≈ 0.9772

(b) To find this value, we can use a standard normal distribution table or calculator. First, we need to find the z-score corresponding to the 86th percentile:

P(Z > z) = 0.14

P(Z < z) = 1 - 0.14 = 0.86

Using a standard normal distribution table or calculator, we find that z ≈ 1.08.

Now, we can use the z-score formula to find K:

z = (K - μ) / σ

1.08 = (K - 11) / 0.25

K - 11 = 1.08 * 0.25

K ≈ 11.27

Therefore, the value of K such that there is a 14% chance that a randomly selected cylindrical metal bar has a length longer than K is approximately 11.27 cm.

(c) Mean = $100 + ($80/cm x 11 cm) = $980
Median = $100 + ($80/cm x 11 cm) = $980
Standard deviation = $80/cm x 0.25 cm = $20
Variance = ($80/cm x 0.25 cm)^2 = $400
86th percentile = mean + (1.08 x standard deviation) = $980 + ($20 x 1.08) = $1002.40

(d) The production cost of a cylindrical metal bar has a mean of $980 and a standard deviation of $20. The cost has a variance of $400 and the 86th percentile of the cost distribution is $1002.40.

(e) (II) a lower level than 0.25 cm.

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Variance standard deviation coefficient of variation mean:

(a) The measures of variation that indicate spread about the mean are variance and standard deviation. Variance is the average squared deviation from the mean and provides an estimate of the degree of spread or dispersion of the data. Standard deviation is the square root of variance and is a commonly used measure of the spread of data. Coefficient of variation is also a measure of variation, which expresses the standard deviation as a percentage of the mean.

(b) The graphic display that shows the median and data spread about the median is the box-and-whisker plot. The box-and-whisker plot displays the five-number summary, which includes the minimum value, the first quartile, the median, the third quartile, and the maximum value. The box represents the middle 50% of the data and the whiskers show the range of the data outside the box. The median is represented by a line inside the box. The box-and-whisker plot is a useful tool for comparing distributions and identifying outliers.

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Answer:

875 cm cubed.

Step-by-step explanation:

If the side length of a cube were 10 cm, the volume would be 10 * 10 * 10 = 1,000. So, the cube has a volume of 1,000 cm cubed.

A 5 cm square hole would have a volume of 5 * 5 * 5 = 125. So, the hole would have a volume of 125 cm cubed.

To find what's left, all you need to do is 1,000 - 125 = 875 cm cubed.

Hope this helps!

The correct answer to the question is b. Congruent figures.

Congruent figures are figures that have the same size and shape. In other words, if you were to compare two congruent figures, they would be identical in every way. This means that all corresponding sides and angles of the figures are equal.

For example, if you have two triangles that are congruent, their corresponding sides and angles will be equal. So if one triangle has a side length of 5 cm, the corresponding side of the other triangle will also have a length of 5 cm. Similarly, if one angle in one triangle measures 60 degrees, the corresponding angle in the other triangle will also measure 60 degrees.

It's important to note that congruence applies to all types of figures, including triangles, quadrilaterals, circles, and so on. When determining if two figures are congruent, you need to compare their corresponding sides and angles.

To summarize, figures that have the same size and shape are called congruent figures.

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a) The unit rate of change of d with respect to t is equal to 1.6

b) the graph of the line in the attached figure.

Given: A proportionate relationship between d and t with the characteristic that a rise in t of 5 units causes a rise in d of 8 units.

To locate: A rise of 5 units in t causes a rise of 8 units in d, according to the line's unit rate of change with respect to t.

=> Slope  =   Δd/Δt   = 8/5 = 1.6

the proportional relationship between d  and t

=> d ∝ t

=> d = 1.6t

t           d=1.6t

0          0

1           1.6

2           3.2

3           4.8

Plot the points and draw a line passing through points.

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Answer:

The answer is 24.66

Step-by-step explanation:

35 x 0.75 = 26.25

26.25 x 0.94 = 24.66

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

it's -4

Step-by-step explanation:

hope it helped!!!!!!

Answer:

-4

Step-by-step explanation:

The answer will be the same as a positive square root, just add a negative.

Answer:

7.2

Step-by-step explanation:

The area of a rectangle is calculated by multiplying its width and length.

The length is already given as 13 cm and the area is given as 93.6 cm.

Now, to find the width we will divide the area by length:

93.6 ÷ 13 = 7.2

Answer:

\( \sqrt{12a \: + \: 12b \: - \: 2ab \: + \: 2b {}^{2} } \)

Step-by-step explanation:

(a²-b²) / (a+b) = 12

a² - b² = 12(a+b)

(a-b)² + 2ab - 2b² = 12a + 12b

(a-b)² = 12a + 12b - 2ab + 2b²

a - b =

\( \sqrt{12a \: + 12b \: - 2ab \: + \: 2b {}^{2} } \)