The diameter of a circle is 30 ft. Find its area to the nearest whole number

The entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable

Now, given: Purchased supplies = $500 (on account).

To find: What does entry to record the purchase include?

Now,

Hence, the entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable.

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Answer:

84.5

Step-by-step explanation:

12.3(3)+11.9(4)=84.5

Answer:

87.5

Step-by-step explanation:

12.3 x 3= 39.9=s

11.9 x 4= 47.6=t

47.6 + 39.9= 87.5

The probability that a randomly selected month's number of order is more than 150 is 0.13%

Given, shawn finds that the monthly number of take-out orders at a restaurant is normally distributed with mean 132 and standard deviation 6.

⇒ mean = 132

⇒ standard deviation = 6

Analysis:

Set the monthly number of take out order as x.

From the question, we know:

P(x > 150) = P(x-132/ > 150-132/6)

= P(x=132/6 > 3)

= 1 - P(x-132/6 ≤ 3)

≈ 1 - 0.9987 {standard normal distribution table}

≈ 0.0013

= 0.13%

Hence we get the probability as 0.13%.

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A transformation of Figure 1 results in Figure 2 will be rotation.

Picture, after translation, refers to the object's ultimate organization and placement.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

Rotation in math involves rotating a figure around a fixed point by a certain angle. This can be done clockwise or counterclockwise and is typically measured in degrees.

Figure 1 is rotated to form Figure 2.

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Answer:

32 cars

Step-by-step explanation:

we know that 14 and 30 lie on opposite sides of the ferris wheel, so we need to calculate how many cars are inbetween car number 14 and carn number 30. since each car is numbered starting from 1, we know that the cars do not skip any numbers. after counting, we know that there are 16 cars inbetween car number 14 and car number 30. since there are 2 sides of a circle we have to double our number by 2. so 16×2 is 32

Math step-by-step:

30-14=16

16×2=32

The quarterly dividend fοr οne share οf Bοοtle is $12.52.

A divisiοn is οne οf the fundamental mathematical οperatiοns that divides a larger number intο smaller grοups with the same number οf cοmpοnents. Hοw many tοtal grοups will be established, fοr instance, if 20 students need tο be separated intο grοups οf five fοr a spοrting event?

The divisiοn οperatiοn makes it simple tο tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the οutcοme. There will therefοre be 4 grοups with 5 students each. By multiplying 4 by 5 and receiving the result 20, yοu may cοnfirm this value.

Tο find the quarterly dividend fοr οne share οf Bοοtle, we can divide the tοtal quarterly dividend payment by the number οf shares Leslie οwns:

Quarterly dividend per share = Tοtal quarterly dividend payment / Number οf shares

Quarterly dividend per share = $1,490 / 119

Quarterly dividend per share = $12.52 (rοunded tο twο decimal places)

Therefore, the quarterly dividend for one share of Bootle is $12.52.

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Answer:

The answer would be D or 4 or whatever you would like to call it (the bottom one)

Bicycle speed: 6.71 m/s, Bus acceleration: not provided, Time to reach bicycle's speed: unknown, Distance to bus stop when bus passes bicycle: 25 meters.

What is the bicycle's speed in meters per second, the magnitude and direction of the bus's acceleration, the time it takes for the bus to reach the bicycle's speed, and the distance between the bicycle and the bus stop when the bus passes the bicycle?

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In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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The statements that apply are:

We have the function f(x) = 2ˣ - 3

So, the true statement for the function f(x) = 2ˣ - 3 are :

The remaining statements do not apply to the given function:

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Three people get into an empty elevator at the first floor of a building that has floors. Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.

To simplify the problem we can see that there are three persons and all of them have their desired floors. Each one of them has pressed the button for their floor.

We can construct a number line to represent the floors. Let us suppose that the number line represents the floors of a 10 story building.

Number line: ... 7 8 9 10 [first person] [second person] [third person]

Let us see the scenario where the buttons for consecutive floors are pressed. Let the first person press the button for the 3rd floor. Then the second person could press the button for either the 2nd floor or the 4th floor.

We can only have the buttons for consecutive floors pressed if the second person presses the button for the 2nd floor

The probability of this happening. There are only 2 possibilities for the second person to press the button:

Press the button for the 2nd floor.

Press the button for the 4th floor.

Both of these possibilities are equally likely.

Therefore the probability that the second person will press the button for the 2nd floor is 1/2.The third person has only one choice. They can only press the button for the 4th floor.

Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.

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Answer:

</html>

Step-by-step explanation:

This is so because remember when programming in HTML once u put a code word after <html> always close it off with </html>

Answer:

Step-by-step explanation:

The person above me is right

In the triangle the value of JL is 14.

Let us find the value of KJ which is hypotenuse

8²+6²=KJ²

64+36=KJ²

KJ=10

From the triangle KLM

tan 45= opposite side/adjacent side

1=6/ML

ML=6

So JL = 8+6

=14

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Answer:

The correct answer is

b) DEF=QRS

Answer:

x = -5

y = -1

Step-by-step explanation:

Y= -6/5x-7 and y=2/5x+1

then:

-6/5x - 7 = 2/5x + 1

simplify:

-8/5x = 8

divide both sides by 8:

-1/5x = 1

multiply both sides by 5:

-x = 5

x = -5

y = 2/5(-5) + 1 = -2 + 1 = -1

Answer:

i think its A

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

180°

Step-by-step explanation:

the angles in a triangle add up to 180°

"Correlational" research looks at how variables vary with each other, while "experimental" research looks at how one variable causes a change in another variable.

Research is a form of non-experimental methodology in which a researcher measures 2 factors and analyzes and evaluates the statistical relationship among them without the influence of any other variable.

Some key features regarding the correlational research are-

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Answer:

the answer is b

Step-by-step explanation:

I took the test on EDG 2021

Answer: lived 48 years

              reigned for 15 years

Step-by-step explanation:

Let x represent the number of years he reigned.

Let y represent Alexander's age.

Use the given information to create a system of equations:

Equation 1:      x + 9 = (1/2)y

Equation 2:     x - 9 = (1/8)y

Multiply the second equation by -1 and add the equations to eliminate x:

 \(.\quad x+9=\dfrac{1}{2}y\\\\\underline{-x+9}=\underline{-\dfrac{1}{8}}y\\\\.\qquad 18=\dfrac{3}{8}y\\\\.\qquad 48=y\)  

Input y = 48 into either equation to solve for x:

\(.\quad x+9=\dfrac{1}{2}(48)\\\\.\quad x+9 = 24\\\\.\qquad x = 15\)    

Answer: D

Step-by-step explanation:

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

∴

x

300

−

x+5

300

=2

⇒

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr

True.

If f and g are inverse functions, then the domain of f is the same as the range of g. This is because inverse functions have an output for each input - meaning that for every value in the domain of f, there is a corresponding value in the range of g.

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The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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Work Shown:

(g-h)(x) = g(x) - h(x)

(g-h)(x) = (2x-4) - (x+2)

(g-h)(x) = 2x-4 - x - 2

(g-h)(x) = x - 6

(g-h)(-4) = -4 - 6

(g-h)(-4) = -10

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

An alternative method:

g(x) = 2x-4

g(-4) = 2(-4)-4

g(-4) = -8-4

g(-4) = -12

h(x) = x+2

h(-4) = -4+2

h(-4) = -2

(g-h)(-4) = g(-4) - h(-4)

(g-h)(-4) = -12 - (-2)

(g-h)(-4) = -12 + 2

(g-h)(-4) = -10

slope is 6-5/2-3 = - 1.....

Answer: -1

Step-by-step explanation:

The unit tangent vector, T(t), represents the direction of the space curve at any given point. In this case, the position vector is given by r(t) = e^(2t)i + cos(t)j - sin(3t)k.

Taking the derivative of r(t), we get r'(t) = 2e^(2t)i - sin(t)j - 3cos(3t)k. Now, to normalize the vector, we divide each component by the magnitude of the vector: ||r'(t)|| = sqrt((2e^(2t))^2 + (-sin(t))^2 + (-3cos(3t))^2). Simplifying, we have ||r'(t)|| = sqrt(4e^(4t) + sin^2(t) + 9cos^2(3t)).

Finally, the unit tangent vector is obtained by dividing r'(t) by its magnitude: T(t) = (2e^(2t)i - sin(t)j - 3cos(3t)k) / sqrt(4e^(4t) + sin^2(t) + 9cos^2(3t)). This is the unit vector that represents the direction of the space curve at any point.

For the set of parametric equations of the tangent line to the space curve at point P, we use the point-slope form. The point P is given as P(l, 1, 0). Using the unit tangent vector T(t) calculated above, we have the following parametric equations: x = l + 2et, y = 1 - sint, z = 3cost. These equations represent the tangent line to the space curve at point P and can be used to trace the path of the tangent line as t varies.

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