Express 8.4km/min in km/hr

Please answer quickly i have exam tomorrow!!!

Answer:

A: 12 B: 80

Step-by-step explanation:

92 - 80 = 12

80 students

12 Chaperones

Answer:

12 chaperones and 80 students

Step-by-step explanation:

Start by multiplying the numbers seperatly and then add. Keep doing this till you get to 92.

  20(2)=40. 3(2)=6 46

  20(3)=60. 3(3)=9 69

  20(4)=80. 3(4)=12 92

Now you know there are 12 chaperones and 80 students. There are other ways to answer this problem like using systems of equations but it still gives the correct answer and is less advanced.

       Hope this helps:)

To solve the equation we first squared both sides of it, that is:

Now we can use the general formula for quadratic equations, then:

Now that we found two option for x, we have to check which of them is really a solution for the original equation (we have to do this since we squared the original equation to get rid of the root), to do this we plug the values we found to see if the eqaution holds.

If x=1:

hence x=1 is a solution for the original equation.

If x=-2:

since this is not true, x=-2 is not a solution for the original equation.

Therefore, the solution for the equation is x=1.

The gas used and miles are proportional for each scooter.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y = k x

for some constant k , called the constant of proportionality .

Therefore, let's check whether the scooter A and scooter B shows proportional relationships.

Hence,

For scooter A:

y = kx

where

Therefore,

2 = 150 k

k = 2  /150

k = 1 / 75

Hence,

y = 1 / 75 x

From the table of scooter A, the ratio is constant, therefore, the relationships of gas used and distance covered is proportional for scooter A.

For the Scooter B the graph is also proportional because the ratios of the variables are constant.

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Xis the smallest upper bound for -2A (sup CA) and y is the greatest lower bound for A (inf A), we can conclude that sup CA = cinf A.

(a) If A = (-3, 4] and c = -2, then -2A can be written as an interval using interval notation.

To obtain -2A, we multiply each element of A by -2. Since c = -2, we have -2A = {-2a : a ∈ A}.

For A = (-3, 4], the elements of A are greater than -3 and less than or equal to 4. When we multiply each element by -2, the inequalities are reversed because we are multiplying by a negative number.

So, -2A = {x : x ≤ -2a, a ∈ A}.

Since A = (-3, 4], we have -2A = {x : x ≥ 6, x < -8}.

In interval notation, -2A can be written as (-∞, -8) ∪ [6, ∞).

(b) To prove that sup CA = cinf A, we need to show that the supremum of -2A is equal to the infimum of A.

Let x be the supremum of -2A, denoted as sup CA. This means that x is an upper bound for -2A, and there is no smaller upper bound. Therefore, for any element y in -2A, we have y ≤ x.

Since -2A = {-2a : a ∈ A}, we can rewrite the inequality as -2a ≤ x for all a in A.

Dividing both sides by -2 (remembering that c = -2), we get a ≥ x/(-2) or a ≤ -x/2.

This shows that x/(-2) is a lower bound for A. Let y be the infimum of A, denoted as inf A. This means that y is a lower bound for A, and there is no greater lower bound. Therefore, for any element a in A, we have a ≥ y.

Multiplying both sides by -2, we get -2a ≤ -2y.

This shows that -2y is an upper bound for -2A.

Combining the results, we have -2y is an upper bound for -2A and x is a lower bound for A.

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What is standard deviation?

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

What does a standard deviation of 1 mean?

What one standard deviation (SD) means. on a normal or bell-shaped distribution of the data. The region of a bell curve starting at position 13 on the y axis is roughly filled by 1 SD = 1 Standard deviation = 68% of the scores or data values.

Solution

Given that,

mean   = 6.2

standard deviation   = 1.2

The z - distribution of the 6 % is,

P( Z < z ) =  6 %

P( Z < z ) = 0.006

P( Z <  -1.866) = 0.006

z = -1.866

The z - distribution of the 6 % is,

P( Z > z ) =  6 %

1 - P( Z < z ) = 0.006

P( Z <  ) = 1 - 0.006

P( Z < z ) = 0.994

P( Z < 1.866 ) = 0.994

z = 1.866

Using z - score formula,

X = z * σ  +  µ

   = -1.866 * 1.2 + 6.2  

   = 3.9608

The minimum head diameter that will fit the clientele is,

min = 3.9608

and

Using z - score formula,

X = z * σ  +  µ

   = 1.866 * 1.2 + 6.2  

   = 8.4392

The maximum head diameter that will fit the clientele is,

max = 8.4392

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Answer:

0.43715

Step-by-step explanation:

We solve using z score calculator

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $276,000

σ is the population standard deviation = 32,000

For x = $276,000

z = 276,000 - 276,000/32000

z = 0

Probability value from Z-Table:

P(x = 276000) = 0.5

For x = $325,000

z = 325,000 - 276,000/32000

z = 1.53125

Probability value from Z-Table:

P(x = 325000) = 0.93715

The probability that the next house in the community will sell for between $276,000 and $325,000 is

P(x = 325000) - P(x = 276000)

= 0.93715 - 0.5

= 0.43715

it's 88 I've been getting so mix up forgive me So the area of the square is 64. When you find the area of the triangle you multiply the base by its height, which is 6 by 8 and then you divide by two. 64+24=88

Answer: 468.75

is ya answer

i think

sorry if im wrong

Answer:

468.75

Step-by-step explanation:

First we need to add 25% to 500.00 which is 625.

Next we need to subtract 25% from 625.

Now we have 468.75.

The selling price of the couch is $468.75.

Answer: 24m+28

Step-by-step explanation:

you would distribute the -4 threw eveything

so it would be 24m+28

The total length of road they built is 5 15/21 kilometers.

Here, we have,

given that,

A construction crew has just finished building a road. The crew worked for 2 2/3 days. If they built 2 1/7 kilometers of road each day.

so, we get,

The total number of days that it took the construction crew to finish the road 2 2/3.

Converting 2 2/3 days to improper fraction, it becomes 8/3 days.

If they built 2 1/7 kilometers of road each day,

converting 2 1/7 kilometers to improper fraction, it becomes 15/7 kilometers.

so, we have,

The total number of days that it took the construction crew to finish the road is 8/3 days.

they built 15/7 kilometers of road each day

Therefore, the total length of road that they built is

15/7 × 8/3

= 120/21 kilometers

Converting to mixed fraction, it becomes

5 15/21 kilometers.

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When an I/O output module controls an AC voltage, Interposing relay is used to actually control the load.

An I/O (Input/Output) οutput mοdule is a device used in autοmatiοn and cοntrοl systems tο interface with external devices and cοntrοl οutputs. It is typically part οf a larger system, such as a prοgrammable lοgic cοntrοller (PLC) οr a distributed cοntrοl system (DCS).

The I/O οutput mοdule serves as a bridge between the cοntrοl system and the external devices οr equipment that need tο be cοntrοlled. It receives signals οr cοmmands frοm the cοntrοl system and cοnverts them intο apprοpriate οutput signals that can cοntrοl actuatοrs, mοtοrs, valves, sοlenοids, οr οther devices.

The I/O οutput mοdule may include multiple οutput channels οr pοints, allοwing fοr the cοntrοl οf multiple devices simultaneοusly. It is respοnsible fοr prοviding the necessary vοltage, current, οr οther signals required tο οperate the cοnnected devices.

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Answer: 0.01090566037

Answer: The short answer to this is 0.0109

Answer:

f(x) = x^4 - 6x^3 + 18x^2 - 54x + 81

Step-by-step explanation:

We have a zero of 3 with multiplicity 2, and

since 3i is a root, -3i must also be a root.

f(x) = ((x - 3)^2)(x - 3i)(x + 3i)

f(x) = (x^2 - 6x + 9)((x^2 + 9)

f(x) = x^4 + 9x^2 - 6x^3 - 54x + 9x^2 + 81

f(x) = x^4 - 6x^3 + 18x^2 - 54x + 81

Answer:

1. 4.5

2. The scale factor is 3/4

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

The process capability index Cpk for the provided process ≈ 0.7687.

To calculate the process capability index Cpk, we need to use the following formula:

Cpk = min((USL - μ) / (3 * σ), (μ - LSL) / (3 * σ))

where USL is the upper specification limit, LSL is the lower specification limit, μ is the process mean, and σ is the process standard deviation.

USL = 11.61 cm (upper specification limit)

LSL = 9.87 cm (lower specification limit)

μ = 10.85 cm (process mean)

σ = 0.33 cm (process standard deviation)

Substituting these values into the formula, we can calculate Cpk:

Cpk = min((11.61 - 10.85) / (3 * 0.33), (10.85 - 9.87) / (3 * 0.33))

Cpk = min(0.76 / 0.99, 0.98 / 0.99)

Cpk = min(0.7687, 0.9899)

Cpk = 0.7687 (rounded to four decimal places)

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Answer:

r=-35

Step-by-step explanation:

Answer:

33.33333333

Step-by-step explanation:

Answer:

add otherwise I don't know sorry im on that question

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Answer:  Choice B

Point P is located at (-2, -1.8)

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

Explanation:

Refer to the diagram below. I've added point Q (2, -3) that is directly below point M, and directly to the right of point N. Right triangle MQN forms with the 90 degree angle at point Q.

The distance from N to Q is 5 units. Count the spaces or apply subtraction and absolute value to find this.

1/5 of this distance is (1/5)*5 = 1. Starting at point N, move 1 unit to the right to arrive at point A(-2,-3). Point P is directly above this point A, such that point P is on line segment MN.

In other words, point P has x coordinate x = -2. So the answer must be choice B as this is the only answer choice that has its point with x coordinate -2.

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

The distance from Q to M is 6 units. Taking 1/5 of this leads to (1/5)*6 = 1.2

Start at point Q and move 1.2 units up to arrive at point B(2,-1.8). This point is on the same horizontal level as point P. So points B and P have the same y coordinate y = -1.8

The x coordinate of P is the same as the x coordinate of A(-2,-3)

The y coordinate of P is the same as the y coordinate of B(2,-1.8)

So overall, point P is located at P(-2,-1.8).

Again refer to the diagram. It shows point P directly above point A, and it shows point P on the same level as point B.

The length of segment NP is exactly 1/5 that of the length of segment NM.

We can write that as

NP = (1/5)*NM

this is equivalent to

5*NP = NM

after multiplying both sides by 5

Using the given conditions of cos=24/25, sin<0, and cos(7pi/6), we were able to find the exact value of the expression cos(7pi/6)sin(theta) to be -7sqrt(3)/50.

To find the exact value of the expression, we need to use the given information about the cosine and sine values.
Firstly, we know that cos = 24/25, which means that the adjacent side of the angle is 24 and the hypotenuse is 25. We can use the Pythagorean theorem to find the opposite side:
sin^2 + cos^2 = 1
sin^2 + (24/25)^2 = 1
sin^2 = 1 - (24/25)^2
sin^2 = 1 - 576/625
sin^2 = 49/625
sin = -7/25 (since we know that sin is negative)
Now we can use the cosine and sine values to determine the quadrant of the angle. Since cos is positive and sin is negative, we know that the angle is in the fourth quadrant.
Next, we need to find the reference angle, which is the angle between the terminal side and the x-axis. We can use the cosine value to determine the reference angle:
cos(theta) = 24/25
theta = cos^-1(24/25)
theta = 0.436 radians
The reference angle is approximately 0.436 radians or 25 degrees.
Since the angle is in the fourth quadrant, we know that the actual angle is 2pi - theta:
angle = 2pi - 0.436
angle = 5.847 radians
Finally, we need to use the cosine value for an angle of 7pi/6 (210 degrees) to determine if cos(7pi/6) is greater than or less than 24/25. We know that cos(7pi/6) is negative in the third quadrant.
cos(7pi/6) = cos(pi/6) = sqrt(3)/2
sqrt(3)/2 < 24/25
Therefore, the exact value of the expression cos(7pi/6)sin(theta) is:
cos(7pi/6)sin(theta) = (sqrt(3)/2)(-7/25)
cos(7pi/6)sin(theta) = -7sqrt(3)/50
In summary, using the given conditions of cos=24/25, sin<0, and cos(7pi/6), we were able to find the exact value of the expression cos(7pi/6)sin(theta) to be -7sqrt(3)/50.

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Answer: Rashida earns $275.80 for 14 games.

Step-by-step explanation: So we dividing 98.50\5 .So unit rate is $19.70

Then we multiply dollars per 1 game on 14 games to get our answer

19.70•14=$275.80

Rashida will earn $ 275.8 working 14 games.

Since in the fall, Rashida earns money as a soccer referee for her town's under-10 soccer league, and so far, she has worked 5 games and has been paid $ 98.50, and she will work a total of 14 games this fall, the way Rashida can determine how much she will earn refereeing soccer games this fall is through the following cross multiplication calculation:

Therefore, Rashida will earn $ 275.8 working 14 games.

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The probability of selecting a black card first and a red card second from a standard deck of 52 playing cards without replacement is 13/51.

The probability of selecting a black card on the first draw is 26/52, or 1/2, since there are 26 black cards in a standard deck of 52 playing cards.

After the first card is drawn, there are 51 cards remaining, of which 26 are red. Therefore, the probability of selecting a red card on the second draw, given that a black card was selected on the first draw, is 26/51.

To find the probability of both events happening (selecting a black card followed by a red card), we multiply the probabilities of each event:

P(black card first, red card second) = P(black card first) × P(red card second | black card first)

P(black card first, red card second) = (1/2) × (26/51)

P(black card first, red card second) = 13/51

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Answer:

2^20

Step-by-step explanation:

2^4x5

= 2^20

Answer:

1: P = -3

2: X = -60

3: N = 5

Step-by-step explanation:

Ok, for number one you are going to add 4 on the -4 canceling that out, and adding 4 on the -7 making that -3.

Number 2 you times 10 on the x/10 to cancel out the 10 (making it x) then you do -6 times 10, and then you get -60

Last one is a little tricky here's the equations I used to get the last one

-3 x 8n = -24x

New equation: 4-24x=-104

                        +4         +  4

___________________________

                        -24x = -100

                         ___     ___

                         -24      -24

                                                   _

so the answer would be x = 5

Answer:

40%

Step-by-step explanation:

2/5 of the shape is shaded. size that up to 4/10, then 40/100, and then you have 40%.

Answer:

If the rate of interest is 12% than the answer is 12000

Step-by-step explanation:

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