Which statements are true about the expression representing Cineplex's total profits that ?

The correct answer is: They are both 1 standard deviation away from their means, but in opposite directions. The first score is 1 standard deviation below mean, while second score is 1 standard deviation above the mean.

Standard deviation is a measure of the deviation or spread from the mean (mean) of a set of data values. 

More specifically, the standard deviation is calculated by taking the square root of the variance of the data. Variance is the mean square of the difference of each data point from the mean. 

The first score of 40 from a distribution with a mean of 50 and a standard deviation of 10 is 1 standard deviation below the mean, because it is (50-40)/10 = -1 standard deviation from the mean.

The second score of 45 from a distribution with a mean of 50 and a standard deviation of 5 is 1 standard deviation above the mean, because it is (45-50)/5 = -1 standard deviation from the mean.

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The evaluation the city's population, to find the (average) rate of change of the population is presented as follows;

The average rate of change of the city population between 1930 and 1950 is 0.25 thousands per year

2. a. Positive

b. Negative

c. Negative

3. The population grew fastest in the decade between 1910-1920

The average rate of change of a function within an interval, is an indication of change of the function per unit change within the interval.

The city population in 1930 = 40 thousand

The population of the city in 1950 = 45 thousand

The average rate of change of the population between 1930 and 1950 therefore is;

Average rate of change = (45 - 40)/(1950 - 1930) = 0.25

The population increases at an average rate of 0.25 thousand persons per year between 1930 and 1950

2. The rate of change of the population between two years is positive, where the line joining the the two years increases from left to right and the rate of change is negative where the line decreases from left to right

a. The line joining the points 1930 and 1940 on the graph increases from left to right, therefore;

b. The location of the point on the graph in 1950 is the highest point while the location of the point on the graph corresponding to the year 1970 is lower, therefore, the line joining the points on the graph decreases from left to right and therefore;

c. 1930 corresponds to a population of 40 thousand, while 1970 corresponds to a population of 35 thousand, therefore, a line extending from 40,000 (1930) to 35,000 (1970), decreases from left to right and therefore;

3. The population growth between 1900 and 1910 is from 20 thousand to 25,000; A growth of 5 thousand

The population growth between 1910 and 1920 is from 25 thousand to 35 thousand; Representing a growth of 10 thousand

The population growth between 1920 and 1930 is from 35,000 to 40,000; A growth of 5 thousand

The change in the population between 1930 and 1940 ≈ 44,000 - 40,000 = 4,000

The change in the population between 1940 and 1950 = 45,000 - 44,000 = 1,000

Therefore, the population grew fastest between 1910 and 1920, with a growth of 10,000 in 10 years or 1,000 per year

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Answer:  roughly 151.81788 square meters of metal

=====================================================

Explanation:

The base is a square with side lengths x, so its area is x*x = x^2

Let h be the height of the tank. We have four identical wall panels that have area of xh square meters. The four walls lead to a lateral surface area of 4xh. Overall, the entire tank requires x^2+4xh square meters of metal. We're ignoring the top since the tank is open.

-----------

Let's set up a volume equation and then isolate h.

volume = length*width*height

108 = x*x*h

108 = x^2*h

x^2*h = 108

h = 108/(x^2)

-----------

Plug that into the expression we found at the end of the first section.

x^2+4xh

x^2+4x(180/(x^2))

x^2+(720/x)

------------

Depending on what class you're in, the next step here will vary. If you are in calculus, then use the derivative to determine that the local min happens at approximately (7.11379, 151.81788)

If you're not in calculus, then use your graphing calculator's "min" feature to locate the lowest point on the f(x) = x^2+(720/x) curve.

This lowest point tells us what x must be to make x^2+(720/x) to be as small as possible, where x > 0.

In this context, it means that if the square base has sides approximately 7.11379 meters, then you'll need roughly 151.81788 square meters of metal to form the open tank. This is the least amount of metal required to build such a tank, and that will have a volume of 108 cubic meters.

Answer:

It’s A

Step-by-step explanation:

There are a few possibilities:

The second term refers to the idea of simplifying a claim down to an impossible absurd one.

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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Answer:

x = 4√2

Step-by-step explanation:

Identifying the triangle in the diagram:

45-45-90 triangle rules:

Finding x:

Since the hypotenuse is 8 units long and, we can find x by setting 8 equal to x√2:

(8 =  x√2) / √2

8/√2 = x

Rationalize the denominator to simplify:

(8/√2) * (√2/√2)

8√2 / 2

4√2

Thus, x = 4√2

Answer:

68 × y

Step-by-step explanation:

68y = 68 × y

Answer:

m=-1 (m is the slope)

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-4/2+3

m=-5/5

m=-1

Answer:

x = –24

\( \frac{1}{3(x + 6)} = \frac{1}{2(x - 3)} \\ \\ ⇒ \frac{1}{3x + 18} = \frac{1}{2x - 6} \\ \\ ⇒3x + 18 = 2x - 6 \: \\ \\ ⇒3x - 2x = - 6 - 18 \\ \\ ⇒x = - 24 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\)

Hope it helps you

Answer:

21.

Step-by-step explanation:

\(\frac{1}{3} (x+6)=\frac{1}{2} (x-3);\\\\6*\frac{1}{3} (x+6)=6*\frac{1}{2} (x-3);\\2(x+6)=3(x-3);\\2x+12=3x-9;\\x=21.\)

The surface area of the cylinder is 948m²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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Answer:

A $6.20

Step-by-step explanation:

first multiply 7.90 x3 and subtract 17.50 from the answer and you should get A

Answer:

45

Step-by-step explanation:

To solve first, plug in 21 for x in the rule, y=2x+3. This makes the rule y=2(21)+3. Then simplify to find y.

Multiply 2 and 21, y=42+3. Next, add, y=45.

\(\huge\text{Hey there!}\)

\(\large\text{If x = 21}\)

\(\large\text{y = 2(21) + 3}\\\large\text{2(21) = 42}\\\large\text{y = 21 + 3}\\\large\text{45 = 42 + 3}\\\large\text{= \bf{\underline{y = 45}}}\\\\\boxed{\boxed{\large\text{Answer: \bf{y = 45}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

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Answer:

The answer is A

Step-by-step explanation:

Answer:

180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement.

Step-by-step explanation:

Answer:

No, these two numbers are not complementary. 180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement.

Step-by-step explanation:

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

change f(x) to y, switch x and y, and solve for y

y = √(x -4)

x = √(y - 4)

x² = y - 4

x² + 4 = y

y = x² + 4

f⁽⁻¹⁾ = x² + 4, where x ≥ 4

Answer:

B) -3

Step-by-step explanation:

Use distributive property.

∴ 3(x-1) = 3x - 3

Hence, it is verified that choice B) -3 is the correct answer.

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

32kg of brass and 8kg of copper

Step-by-step explanation:

Add the ratios together to find the total:

2:8 = 2 + 8 = 10

Now, divide the total kg requirement of brass (40) by the above value:

40 ÷ 10 = 4

So each ratio must be multiplied by 4 so that the total kg of brass is 40:

8 * 4 = 32kg of brass

2 * 4 = 8kg of copper

Hope this helps!

Answer:

Step-by-step explanation:

its 69 and get a tuterФ⊄⊇⊇⊇∴Ф

Answer:

a) Null hypothesis: \( \mu \geq 863\)

Alternative hypothesis: \( \mu >863\)

b) For this case using the significance level of \(\alpha=0.05\) we can use the normal standard distirbution in order to find a quantile who accumulates 0.05 of the area in the left and we got:

\( z_{\alpha}=-1.64\)

And the rejection zone would be:

\( z<-1.64\)

c) For this case since the statistic calculated is lower than the critical value we have enough evidence to reject the null hypothesis at 5% of significance

d) \( p_v = P(z<-2.17) =0.015\)

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at the significance level provided

Step-by-step explanation:

Part a

We want to test for this case if the true mean is significantly less than 863 calories so then the system of hypothesis are:

Null hypothesis: \( \mu \geq 863\)

Alternative hypothesis: \( \mu >863\)

Part b

For this case using the significance level of \(\alpha=0.05\) we can use the normal standard distirbution in order to find a quantile who accumulates 0.05 of the area in the left and we got:

\( z_{\alpha}=-1.64\)

And the rejection zone would be:

\( z<-1.64\)

Part c

For this case since the statistic calculated is lower than the critical value we have enough evidence to reject the null hypothesis at 5% of significance

Part d

For this case the p value would be given by:

\( p_v = P(z<-2.17) =0.015\)

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at the significance level provided

Answer:

The variation in haemoglobin values in healthy human beings is relatively large; in women aged 18–49 years the mean haemoglobin concentration is 140 g/l while the value 2 standard deviations (SD) below the mean is 120 g/l, a difference of about 14%.

Answer:

0.127 ft per min

Step-by-step explanation:

I used the ai app to verify my answer

Answer:

0.50

Step-by-step explanation:

to get both numbers in the same unit you have to change one, I'm changing 6/9

6 divided by 9 is ABOUT 0.6 so you can choose any numbr between 0.46 and 0.59

The equivalent expression to the sentence "9 more than the quotient of x and 5" is given as follows:

x/5 + 9.

The sentence in the context of this problem is defined as follows:

"9 more than the quotient of x and 5"

The quotient of x and 5 is given by the division of x by 5, as follows:

x/5.

9 more means that 9 is added to the quotient of x and 5, hence the equivalent expression to the sentence "9 more than the quotient of x and 5" is given as follows:

x/5 + 9.

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Answer:

two hundred and forty inches

Answer:40

Step-by-step explanation:Parallelogram

Solve for area

A=40

Solution

A=bh=8·5=40

formula A=base*height

Answer: its not c u have the option of a b or d but i think its a

Step-by-step explanation:

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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