What is the statement of square?

Utilization is the percentage of actual output from a system in comparison to its design capacity. Given the following information, what would utilization be? Effective capacity = 20 units per day Design capacity = 60 units per day Actual output = 15 units per day.

The correct option is- C. 25%.

The utilization would be \(\frac{15}{60}\) = 0.25 or 25%.Therefore, the correct option is C. 25%. It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification.

Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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This means that if we were to repeat this study many times with different samples of SARS patients, we would expect the mean incubation period to fall between the lower and upper bounds of this interval in 95% of those studies

The lower bound of the 95% confidence interval is calculated as:

Lower bound = mean incubation period - (Z-score)*(standard error)

where Z-score for a 95% confidence level is 1.96, and standard error is calculated as:

standard error = standard deviation/(sample size)^0.5

Substituting values in the above formula, we get:

Lower bound = 4.9 - (1.96)*(14.3/81^0.5) ≈ -2.18 days

Rounding to two decimal places, the lower bound is -2.18 days.

The upper bound of the 95% confidence interval is calculated as:

Upper bound = mean incubation period + (Z-score)*(standard error)

Substituting values in the above formula, we get:

Upper bound = 4.9 + (1.96)*(14.3/81^0.5) ≈ 11.98 days

Rounding to two decimal places, the upper bound is 11.98 days.

Interpretation:

b). There is a 95% confidence that the mean incubation period lies between the lower and the upper bounds of the interval.

This means that if we were to repeat this study many times with different samples of SARS patients, we would expect the mean incubation period to fall between the lower and upper bounds of this interval in 95% of those studies. We can be reasonably confident that the true mean incubation period of SARS virus falls within this range of values.

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Answer: 27 masks

Step-by-step explanation:   2/3 = 1 mask

1 yard = 3/2

18 yards=3/2 * 18 = 27 masks

Answer:

Step-by-step explanation:

  \(\sf f(x) = \dfrac{1}{Sin \ x}\)

f(x) does not contain values where sin x = 0. Sin x is 0 at integral multiples of π.

Domain = R - nπ , n is integers.

The range of Sin x is [-1 , 1] and in this range we cannot find 1/sin x .

Range = (-∞, -1] U [1,∞)

\(\sf f(x) =\dfrac{1}{Cos x}\)

f(x) does not contain values where Cos x  = 0 . Cos x is 0 at integral of multiples of (π/2)

   \(\sf Domiain =R -\dfrac{(2n+1)\pi }{2}\)

The range of Cos x is [-1,1] and in this range we cannot find 1/Cos x.

Range =  (-∞, -1] U [1,∞)

Answer:

X = 0

Step-by-step explanation:

Given:

The area of the blue rug is:

And the area of the red rug is :

So, the area of both of them is the sum of the given areas:

So, the total area =

so, the area of the new rug in factored form = 2 ( 9x + 4 )

Answer:

24

Step-by-step explanation:

I think you meant PQRS not ABCD?

If so, perimeter is the sum of all four sides of a square. Since square has same side lengths,

Perimeter = 4(2x+8)

96=8x+32

64=8x

x=8

So plugging this back into expression,

2(8)+8= 24

HI THERE

the answer is -6

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The equation of a straight line is an equation that comes in the form of an algebraic equation. It is also referred to as Slope - Intercept form. It can be represented using the equation below:

Equation : y = mx + c

where:

m = Gradient

c = Slope of the line

The equation that shows how the price of a personal pizza y, depends on the number of toppings x  is y = 7 + x

This question can be solved and represented using the equation of a straight line.

Let's represent

Therefore, the equation that shows how the price of a personal pizza y, depends on the number of toppings x  is written as:

y = $7 + $1 * x

y = 7 + x

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The required probability of getting caught on the 10th day is 3/5.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Probability of getting caught in 9 days
= [1 - 1/3]*9=6

The probability of getting on the tenth day is given as,

= 6/10
=3/5

Thus, the required probability of getting caught on the 10th day is 3/5.

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Answer:

1765

Step-by-step explanation:

hope this helps

According to the question There are 39 students who enrolled for only French and not German.

To find the number of students who enrolled for only French and not German, we can use the principle of inclusion-exclusion.

Let's break down the information given:

Total number of students = 61

Number of students enrolled for both French and German = 19

Number of students enrolled for only German = 23

We want to find the number of students who enrolled for only French and not German.

To do this, we can subtract the students who enrolled for both French and German and the students who enrolled for only German from the total number of students:

Number of students enrolled for only French and not German = Total number of students - Students enrolled for both French and German - Students enrolled for only German

Number of students enrolled for only French and not German = 61 - 19 - 23 = 39

Therefore, there are 39 students who enrolled for only French and not German.

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The area of the shaded region will be 8 square unit as per the given figure.

The rectangle has dimensions 2 x 4, so its area is:

Area of rectangle = length x width = 2 x 4 = 8 square units

The triangle has dimensions 4 x 8, so its area is:

Area of triangle = (1/2) x base x height = (1/2) x 4 x 8 = 16 square units

To find the area of the shaded region, we need to subtract the area of the triangle from the area of the rectangle.

Area of shaded region = Area of the triangle - Area of rectangle

Area of shaded region = 16-8

Area of shaded region = 8

The area of the shaded region will be 8 square units.

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Complete question:

Answer:

You are correct. Good job and merry Christmas, have a good day.

Answer:

Your answer is correct

Step-by-step explanation:

You don’t need to change anything because (-3, 12) is correct!

hope that helps! ❤️❤️❤️❤️

Answer:

Step-by-step explanation:

the numerical coefficient of x2 here is 3.

Answer:

adf

Step-by-step explanation:

1cm = 10mm so 10cm is 100mm and 1km is 1000m so 8km is 8000m and 1m is 100cm so 9m is 9000mm

Answer:

The answer to your problem is:

A.

D.

F.

Step-by-step explanation:

( I will only show the formula and bold the correct options )

Centimeters to Millimeters:

multiply the value by 10. Or option A

Meters to centimeters

multiplying the number of meters by 100 ( Not correct )

Centimeters to meters

multiply the given centimeter value by 0.01 meters ( Not correct )

Kilometers to meters

multiply the given value by 1000 Or option D

Meters to kilometers

1 kilometer = 1000 meters

Meters to millimeters

multiply the given meter value by 1000 mm Or option F

Thus the answer to your problem is:

A.

D.

F.

Answer:

Simply add 5 to both sides.

Step-by-step explanation:

Since you're dealing with a negative five on one side of the equation, even it out by adding a positive 5 to both sides.

Answer: Assuming the conditions for inference are met, we can use the difference in proportions of red beads in the two samples to estimate the difference in proportions of red beads in the population. The 95% confidence interval for the difference in proportions of red beads in the two containers is calculated as follows:

Difference in sample proportions = p1 - p2 = (13/50) - (16/50) = -0.03

Standard error of the difference in sample proportions = sqrt{(p1*(1-p1)/n1) + (p2*(1-p2)/n2)} = sqrt{(13/50)(37/50)/50 + (16/50)(34/50)/50} = 0.079

Margin of error = z* * standard error of the difference in sample proportions = 1.96 * 0.079 = 0.155

95% Confidence interval for the difference in proportions of red beads in the two containers = (difference in sample proportions - margin of error, difference in sample proportions + margin of error) = (-0.03 - 0.155, -0.03 + 0.155) = (-0.185, 0.125)

So, we can be 95% confident that the difference in the proportion of red beads in the two containers is between -0.185 and 0.125.

Step-by-step explanation:

Answer:

a. \(\mathbf{P(Y \leq 60) = 0.3333}\)

b. P(Y>50) = 0.8889

c. E(y) = 67.5 and  Standard deviation \(\sigma\) = 12.99

Step-by-step explanation:

From the information given :

an automobile body paint shop, has determined that the painting time of automobiles is uniformly distributed and that the required time ranges between 45 minutes to \(1\frac{1}{2}\)hours.

The objective is to determine  the probability that the painting time will be less than or equal to an hour?

since 60 minutes make an hour;

\(1\frac{1}{2}\)hours = 60 +30 minutes = 90 minutes

Let Y be the painting time of the automobile; then,

the probability that  the painting time will be less than or equal to an hour ca be  computed as :

\(P(Y \leq 60) = \int ^{60}_{45} f(y) dy \\ \\ \\ P(Y \leq 60) = \int ^{60}_{45} \dfrac{1}{45} dy \\ \\ \\ P(Y \leq 60) = \dfrac{1}{45} \begin {pmatrix} x\end {pmatrix}^{60}_{45} \\ \\ \\ P(Y \leq 60) = \dfrac{60-45}{45 } \\ \\ \\ P(Y \leq 60) = \dfrac{15}{45} \\ \\ \\ P(Y \leq 60) = \dfrac{1}{3} \\ \\ \\ P(Y \leq 60) = 0.3333\)

What is the probability that the painting time will be more than 50 minutes?

The probability that the painting will be more than 50 minutes is P(Y>50)

So;

\(P(Y>50) = \int \limits ^{90}_{50} f(y) dy\)

\(P(Y>50) = \int \limits ^{90}_{50} \dfrac {1}{45} dy\)

\(P(Y>50) = \dfrac{1}{45}[x]^{90}_{50}\)

\(P(Y>50) = (\dfrac{90-50}{45})\)

\(P(Y>50) = \dfrac{40}{45}\)

P(Y>50) = 0.8889

Determine the expected painting time and its standard deviation.

Let consider E to be the expected painting time

Then :

\(E(y) = \int \limits ^{90}_{45} y f(y) dy \\ \\ \\ E(y) = \int \limits ^{90}_{45} y \dfrac{1}{45} dy \\ \\ \\ E(y) = \dfrac{1}{45} [\dfrac{y^2}{2}]^{90}_{45} \\ \\ \\ E(y) = \dfrac{1}{45}[\dfrac{(90^2-45^2)}{2}] \\ \\ \\ E(y) = \dfrac{1}{45} (\dfrac{6075}{2}) \\ \\ \\ E(y) = \dfrac{1}{45} \times 3037.8 \\ \\ \\ \mathbf{E(y) = 67.5}\)

\(E(y^2) = \int \limits ^{90}_{45} y^2 f(y) dy \\ \\ \\ E(y^2) = \int \limits ^{90}_{45} y^2 \dfrac{1}{45} dy \\ \\ \\ E(y^2) = \dfrac{1}{45} [\dfrac{y^3}{3}]^{90}_{45} \\ \\ \\ E(y^2) = \dfrac{1}{45}[\dfrac{(90^3-45^3)}{3}] \\ \\ \\ E(y^2) = \dfrac{1}{45} (\dfrac{637875}{3}) \\ \\ \\ E(y^2) = \dfrac{1}{45} \times 2126.25 \\ \\ \\ \mathbf{E(y^2) = 4725}\)

To determine the standard deviation, we need to first know what is the value of our variance,

So:

Variance \(\sigma^2\) = E(x²) - [E(x)]²

Variance \(\sigma^2\) = 4725 - (67.5)²

Variance \(\sigma^2\) = 4725 - 4556.25

Variance \(\sigma^2\) = 168.75

Standard deviation \(\sigma\) = \(\sqrt{variance}\)

Standard deviation \(\sigma\) = \(\sqrt{168.75}\)

Standard deviation \(\sigma\) = 12.99

The equation of the secant line is y = x - 9 which is the same as f(x) = x² - x - 72.

Given the function f(x) = x² - x - 72.

We are to find the equation of the secant line joining the points (-7, -16) and (9, 0).

The formula for the equation of the secant line is given as;

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

where (x₁, y₁) and (x₂, y₂) are the two points on the line.

Therefore, substituting our points into the formula, we get:

y - (-16) = (0 - (-16))/(9 - (-7)) (x - (-7))y + 16

= (16/16) (x + 7)y + 16

= x + 7y

= x + 7 - 16y

= x - 9

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Brainliest please if correct

the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.

The most appropriate choice for volume of cuboid and cylinder will be given by-

Total mass of sculpture is 10.0464 tonnes

What is volume of cuboid and cylinder?

Cuboid is a three dimensional figure that has 6 faces, 12 edges and 8 vertices.

Volume of cuboid is given by the formula length \(\times\) breadth \(\times\) height

Cylinder is a three dimensional round figure that has two circular bases at the end

If r is the radius of the cylinder and h is the height of the cylinder, volume of the cylinder is given by the formula

V = \(\pi \times r^2 \times h\)

Here,

Radius of cylinder = 40 cm

Height of cylinder = 70 cm

Volume of cylinder = \(\pi \times r^2 \times h\)

                                = \(\frac{22}{7} \times (40)^2 \times 70\\\)

                                = 352000 \(cm^3\)

Length of cuboid = 80 cm

Breadth of cuboid = 80 cm

Height of cuboid = 140 m

Volume of cuboid = \(80 \times 80 \times 140\)

                              = 896000 \(cm^3\)

Total volume of sculpture = (352000 + 896000) \(cm^3\)

                                           = 1248000 \(cm^3\)

Density of sculpture = 8.05 \(g / cm^3\)

Mass of sculpture  = \(1248000 \times 8.05\)

                               = 10046400 g

                               = 10046.4 kg

                                = 10.0464 tonnes

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Answer: the answer should be C :)

Step-by-step explanation:

the slope (x) is -3/4 and the y-intercept is -2

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

Correct Answer: $603.27

Answer:

-20

Step-by-step explanation:

2((-1)(3)-7) = x

-1•3 first, then subtract that by 7 = -10

then multiply by 2 = -20

Answer:

y-7=0 is the same as y=7

The drawing of y=7 is a straight horizontal line intercepting the y axis at 7. So basically it's a horizontal line that passes through (0,7). Its slope is zero since it's a horizontal line.

Step by step explanation:

A line with no x in the equation is a horizontal line. In this case, y=7. All horizontal lines have a slope of 0, since there is never a change in the y coordinate (it is always 7) so the numerator of the fraction used to determine the slope is 0.

The y-intercept is, of course 7 (all y values on the line are 7). There is no x-intercept since it is a horizontal line through the point (0,7) so it will never intersect the x-axis.

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\( f(x) = \sqrt{2x - 10} \)

\(Domain \: \: : \: 2x - 10 \geqslant 0\)

Add sides 10

\(Domain \: \: : \: \: 2x - 10 + 10 \geqslant 10 \\ \)

\(Domain \: \: : \: \: 2x \geqslant 10\)

Divided sides by 2

\(Domain \: \: : \: \: \frac{2}{2}x \geqslant \frac{10}{2} \\ \)

\(Domain \: \: : \: \: x \geqslant 5\)

Done...

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Answer:

The lower right table

Step-by-step explanation:

The table of that's the right answer consists of f(x) and x points that when plugged into the equation make the equation equal.

Let's go through each of the tables to check.

Upper Left Table:

(Remember that f(x) and y are interchangeable)

- Let's plug in the first paired set (0,6) into the equation

\(y = -2x + 6 \\6 = -2(0) + 6\\6 = 6\)

So, this one seems right so far. It also let's us eliminate some answers!

The upper right and lower left tables can't be right because in order for the equation to be equal, f(x) has to be 6 when x equals 0

Let's plug more paired sets into the equation from the upper left table

\(y = -2x + 6\\10 = -2(2) + 6 \\10 = -4 + 6 \\10 = 2\)

This doesn't work so let's check to see if the lower right table is correct!

\(y = -2x + 6 \\2 = -2(2) + 6\\2 = -4 + 6\\2 = 2\)

Since the equation is equal, this has to be the right answer!

Hope this helps!!

- Kay

Answer:

\(4.3^{9}\)

Step-by-step explanation:

\((4.3^{1})\)\((4.3^{2})\)\((4.3^{2})\)\((4.3)^{2}\)\((4.3^{2})\)  If I expand this out a little, it might be easier to see.  If I do not have an exponent, it is understood that there is only one of those factors so the exponent is 1.

\((4.3^{2})^{4}\)  means that we are taking\(4.3^{2}\) four times.

The Product of Power Principle tells us that when we are multiplying by same base we add the exponents.

\(4.3^{9}\) or 506953 Rounded to the nearest whole number

Answer: 89

Step-by-step explanation: