The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask?

Probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

If 60% of the population supports massive federal budget cuts.

We have to find the probability in that a survey of 250 people, at most 155 people support such cuts.

So, the probability is, 155 / 250 = 0.62

Hence, probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.

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The amount of water tank  with water after 10 minutes will be 4950 liters.

To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.

Let's calculate the net flow rate of water per minute:

Flow rate = (filling tap flow rate) - (emptying tap flow rate)

Flow rate = 40 L/min - 25 L/min

Flow rate = 15 L/min

Now, we can calculate the net flow of water over 10 minutes:

Net flow of water = (flow rate) * (time)

Net flow of water = 15 L/min * 10 min

Net flow of water = 150 L

Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.

Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:

Final amount of water = (initial amount of water) + (net flow of water)

Final amount of water = 4800 L + 150 L

Final amount of water = 4950 L

After 10 minutes, there will be 4950 liters of water in the tank.

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Answer:

10

Step-by-step explanation:

if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10

Answer:

10/28

Step-by-step explanation:

5/14 = x/28

See that 28 is 14*2

So multiply 14*2 to get 28, and 5 * 2 to get 10

5 / 14 * 2/2 = 10 / 28

If my answer is incorrect, pls correct me!

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-Chetan K

well, let's first off find out how many actually do favor it in the first place.

\(\stackrel{total}{4000}\cdot \cfrac{3}{8}\implies \stackrel{seniors}{\text{\LARGE 1500}}\hspace{12em}\stackrel{total}{4000}-1500=\stackrel{not~seniors}{\text{\LARGE 2500}} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{seniors}{\text{\LARGE 1500}}\cdot \cfrac{1}{6}\implies \stackrel{in~favor}{\text{\LARGE 250}}\hspace{11em} \stackrel{not~seniors}{\text{\LARGE 2500}}\cdot \cfrac{3}{5}\implies \stackrel{in~favor}{\text{\LARGE 1500}} \\\\[-0.35em] ~\dotfill\\\\ 250+1500\implies \stackrel{in~favor}{\text{\LARGE 1750}}\hspace{15em}\boxed{\underset{\textit{do not favor it}}{\stackrel{4000~~ - ~~1750}{\text{\LARGE 2250}}}}\)

Answer:

x − 43 = 90

Step-by-step explanation:

2x + 43 = 180

2x − 43 = 90

x + 43 = 180

x − 43 = 90

Answer:

fortnite

Step-by-step explanation:

winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

the answer is 2616

hope this helped

Step-by-step explanation:

Answer:

r = 3cm

Step-by-step explanation:

Use the formula for the surface area of a cylinder and solve to obtain r=3cm

Hence radius of base is 3 cm of right circular cylinder.

The cylinder is known as a right circular cylinder when the axis (one of the rectangle's sides) is perpendicular to the radius ((r)). The base and top of the right circular cylinder are both round and parallel to one another. The general formula for the total surface area of a cylinder is T. S. A. =\(2\pi rh+2\pi r^{2} .\)

Given total surface area of right circular cylinder =84\(\pi cm^{2}\)

Using formula for right circular cyinder =.\(2\pi rh+2\pi r^{2} .\)=84

and height=11 cm

\(2\pi r11+2\pi r^{2} =84.\pi\)

⇒\(11r+ r^{2} =84/2\)

⇒\(11r+ r^{2} =42\)

⇒\(r^{2} +11r-42=0\)

⇒r = \(\frac{-11+-\sqrt{11^{2}-4(1)42 } }{2}\)

⇒r=\(\frac{-11+-17}{2}\)

⇒r=3,-1

Hence radius of base is 3 cm as value can't be negative .

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Answer:

Starting from the left,  top to bottom. first answer is 8, second is 21.3, third is 64, 204.8. Right side is essentially y=x to a power, the answers are from top to bottom, 8,27,64,125

Step-by-step explanation:

Essentially, its just asking you to divide the given y values by the x values.

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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a. FPCF for this sample is FPCF = √(199/24) = 2.89.

b. The population cannot be considered effectively infinite, so the answer is no.

When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.

The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.

a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:

FPCF = √(N/n)

where N is the population size, and n is the sample size.

In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).

FPCF = √(199/24) = 2.89 (rounded to two decimal places)

b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.

In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.

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Answer:

May 4th

The pattern goes like this

May 4th, May 8th, May 12th, May 16th, ...

The equivalent ratios are 8: 6 and 12:9.    

Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.  

Here we have 4:3

To find equivalent ratios, we can multiply both terms by the same number.

Multiplying by 2

=> 4 × 2 : 3 × 2

=> 8 : 6

Multiplying by 3

=> 4 × 3 : 3 × 3

=> 12: 9

Therefore,

The equivalent ratios are 8: 6 and 12:9.    

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Complete Question

What is the equivalent ratio for 4: 3

The indicated ratios BC: BN is 3:5.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Triangles AMP and ADC are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

AM/AD=AP/AC

3x/3x+5x=AP/AC
AP/AC=3/8

AP=3/8AC

PC=AC-AP=AC-3/8AC

=5/8AC

AP/PC=3/8AC/5/8AC=3/5

Triangles ACB and PCN are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

CP/AP=CN/CB

5x/5x+3x=CN/CB

CN=5/8CB

BN=BC-CN=3/8BC

Hence, the ratio BN/CN=3/8BC/5/8BC=3/5

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The solution of the system of equations is (8, 11).

We know that one of the equations of the system is:

y = x + 3

And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:

a = (3 - 1)/(4 - 3) = 2

So the line is something like:

y = 2*x + b

To find the value of b, the y-intercept, we can replace the values of one of the points.

I will use (3, 1)

1 = 2*3 + b

1 = 6 + b

1 - 6 = b

-5 = b

So the other line is y = 2x - 5

Then the system of equations is:

y = x + 3

y = 2x - 5

Now we can solve the system:

x + 3 =2x - 5

3 + 5 = 2x -x

8  =x

The x-value of the solution is 8, then the only option that can be correct is.

(8, 11)

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Answer:

Exponential Function

General form of an exponential function with base \(e\):

\(f(x)=Ae^{kx}\)

where:

The curve crosses the y-axis at y = 40.  Therefore, A = 40.  

Substitute the found value of A into the formula along with (1, 56) and solve for \(k\):

\(\begin{aligned}f(x) & =Ae^{kx}\\\implies 56 & =(40)e^{k}\\e^k & =\dfrac{56}{40}\\k & =\ln (1.4)\end{aligned}\)

\(\textsf{Equation}: \quad f(x)=40e^{x\ln 1.4}\)

To find the population in 10 years, substitute \(x = 10\) into the found equation:

\(\begin{aligned}\implies f(10)&=40e^{10\ln 1.4}\\ & =1157.01862\\ & =1157\end{aligned}\)

The curve crosses the y-axis at y = 10.  Therefore, A = 10.

Substitute the found value of A into the formula along with (1, 18) and solve for \(k\):

\(\begin{aligned}f(x) & =Ae^{kx}\\\implies 18 & =(10)e^{k}\\e^k & =\dfrac{18}{10}\\k & =\ln (1.8)\end{aligned}\)

\(\textsf{Equation}: \quad f(x)=10e^{x\ln 1.8}\)

To find the population in 8 years, substitute \(x = 8\) into the found equation:

\(\begin{aligned}\implies f(8)&=10e^{8\ln 1.8}\\ & =1101.996058\\ & =1102\end{aligned}\)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The current price of the item is 97.06

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Original price of an item = 99.15

The price has been reduced by 2.09.

The current price.

= 99.15 - 2.09

= 97.06

Thus,

The current price of the item is 97.06

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Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Answer:

thanks

u to

Step-by-step explanation:

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

Answer:

11

Step-by-step explanation:

i don't know

Answer:

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

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Answer:

400+10+3+0.1+0.09+0.005 hope this helps! mark me brainliest!

Step-by-step explanation:

Answer:

400 + 10 + 3 + 0.1 + 0.09 + 0.005

Step-by-step explanation:

Writing in expanded form means to show the value of each digit in the number.

----------

For example 124:

Value in the hundreds column: 100

Value in the tens column: 20

Value in the ones column: 4

So the answer (to the example) is:

100 + 20 + 4 (we can check if this is true by adding it together)

100 + 20 + 4 = 124 (The answer is 124, so it's true!)

----------

It's the same with decimals:

13.451 in expanded form is:

10 + 3 + 0.4 + 0.05 + 0.001

Which is added up to 13.451!

----------

If we take your question:

413.195 in expanded form is:

hundreds column: 400

tens column: 10

one's column: 3

tenths column: 0.1

hundredths column: 0.09

thousandths column: 0.005

400 + 10 + 3 + 0.1 + 0.09 + 0.005 = 413.195

-----------

Hope I could help you understand!

If you have any questions, ask them in the comments below!

Have a good day! (●'◡'●)

Based on the information, it should be noted that the value of tan(A-B) is 234/583.

Given:

tanA = 60/11

sinB = 45/53

A and B are in Quadrant I

We can use the following identity to find tan(A-B):

tan(A-B) = (tanA - tanB)/(1 + tanA*tanB)

Substituting the given values, we get:

tan(A-B) = (60/11 - 45/53)/(1 + (60/11)*(45/53))

= (15/53)/(295/583)

= 234/583

Therefore, the value of tan(A-B) is 234/583.

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Answer:

set 1 and 2

Step-by-step explanation:

Set 1 has 10

Set 2 has 13

Chandler ended up 8 feet below sea level. The negative sign indicates that his final position is below sea level. This means that he has descended further into the lake compared to the starting point on the cliff.

Chandler started on the cliff at 32 feet above sea level. When he jumped for 40 feet, we need to determine the final position in relation to sea level.

Since Chandler jumped down, the distance below sea level will be calculated as a negative value. To find how far below sea level Chandler ended up, we subtract the jump distance (40 feet) from the starting height (32 feet above sea level):

32 feet - 40 feet = -8 feet

It's important to note that negative values are used here to represent the direction and magnitude of Chandler's descent relative to sea level

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Answer:

-8 feet

Step-by-step explanation:

The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).

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