What is the range of data in this box plot? what is the median?

Answer:

The z-score of 90 is 1.35

Step-by-step explanation:

The z-score is calculated using the formula:

[tex]z = \frac{x - \mu}{ \sigma} [/tex]

From the question, it was given that the mean is

[tex] \mu = 61.2[/tex]

and the standard deviation is

[tex] \sigma = 21.4[/tex]

and x=90.

We substitute the given values to obtain:

[tex]z = \frac{90 - 61.2}{21.4} [/tex]

[tex]z = \frac{28.8}{21.4} = 1.35[/tex]

Answer:

1.35

Step-by-step explanation:

Answer:

[tex]B=3[/tex]

Step-by-step explanation:

We have been given an expression [tex]12x^4+30x^3+4x^2+10x[/tex].

Let us factor our given expression to answer the given problem.

Factor out [tex]2x[/tex] from all terms:

[tex]2x(6x^3+15x^2+2x+5)[/tex]

Now, we will make two groups of [tex]6x^3+15x^2+2x+5[/tex] as shown below:

[tex]2x((6x^3+15x^2)+(2x+5))[/tex]

[tex]2x((6x^3+15x^2)+(2x+5))[/tex]

Factor out [tex]3x^2[/tex] from 1st group:

[tex]2x((3x^2(2x+5))+(2x+5))[/tex]

[tex]2x(3x^2+1)(2x+5)[/tex]

Upon comparing [tex]2x(3x^2+1)(2x+5)[/tex] with [tex]Ax(Bx^2+1)(2x+5)[/tex], we can see that [tex]A=2[/tex] and [tex]B=3[/tex].

Therefore, the value of B is 3.

The probability of randomly picking a cracked white egg from a basket of white and brown eggs is calculated by dividing the number of cracked white eggs (half of the total white eggs) by the total number of eggs. However, specific numbers for the number of white and brown eggs are needed for an exact answer.

In order to answer this question, we need to know the number of white eggs and brown eggs in the basket. However, assuming that there are 'w' white eggs and 'b' brown eggs in the basket, and half of the white eggs are cracked, the probability of randomly picking a cracked white egg would be calculated by dividing the number of cracked white eggs by the total number of eggs. Therefore, if 'w' over 2 represents cracked white eggs, the probability would be (w/2) / (w + b).

For example, if the basket had 10 white eggs and 20 brown eggs, and half the white eggs are cracked. There would be 5 cracked white eggs. Hence, the probability of picking a cracked white egg would be calculated as: (5 / (10 + 20)), which equals to 1/6.

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To calculate how much more Jay Miller's weekly salary is compared to the average, subtract the average weekly salary ($399.44) from Jay's weekly salary ($411.11). The difference is $11.67, which is how much Jay's weekly pay is over the average.

The question is asking us to calculate how much more Jay Miller's weekly salary is compared to the weekly average salary of employees at the local True Value Hardware store. The step-by-step process to solve this is very simple. Firstly, we will subtract the average weekly salary from Jay's weekly salary.

So, Jay's weekly pay is $11.67 over the average.

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Answer:

The degree is 12

Step-by-step explanation:

An ellipse is a curved shape characterized by two foci and a major axis, with every point on the ellipse being at a constant sum of distances from the foci. The eccentricity, which is the ratio of the distance between the foci to the length of the major axis, determines the 'roundness' of the ellipse. The ellipse can be constructed using the gardener's method to showcase this constant sum property.

An ellipse is a specific type of curve that is noticeably different from a circle in that it is elongated; it has two distinct foci instead of a single central point and a major axis that defines its longest diameter. The foci are two fixed points located within the ellipse such that the sum of the distances from any point on the ellipse to the two foci is constant. This consistent sum of distances is what gives an ellipse its characteristic shape. This property is often demonstrated by the 'gardener's method' of creating an ellipse by anchoring a string to two fixed points (the foci) and tracing a path with a marker keeping the string taut.

The eccentricity of an ellipse, which determines its 'roundness,' is the ratio of the distance between the two foci to the length of the major axis. If the foci are close together relative to the major axis, the ellipse will appear more circular; if they are further apart, the ellipse will be more stretched out. The major axis (2a) cuts the ellipse into two equal halves, and each half is referred to as the semimajor axis (a).

A crucial aspect of drawing an ellipse involves identifying the length of the major axis and the location of the two foci. Because these elements are so fundamental, an ellipse can be readily illustrated by the use of string and a couple of tacks representing the foci.

Surface area is the area you get from a shape's net.

A net is an unfolded 3rd shape.

To find the surface area you use the equation A = 2xπrh + 2πr²

The answer would be 659.73 cm²

Hope this helps have a wonderful day!

Answer:

アップダウンは世の常

クズ引いたって動じない

Step-by-step explanation:

The experimental probability of rolling a 2 or a 3 would be 0.22

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

We are given that number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes .

Total number of times rolled = 360

Total number of 2s and 3s = 31 + 49 = 80

P(2 or 3) = 80/360 = 2/9

P(2 or 3) = 0.22 (nearest hundredth)

The answer is: 0.22

Learn more about probability here;

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To find the height of the actual rocket given the height of the model rocket, we can use the ratio between the two. By setting up and solving a simple equation, we can determine that the height of the actual rocket is 29.33 meters.

To find the height of the actual rocket, we need to start by determining the ratio between the height of the model rocket and the actual rocket. Given that the model rocket is 4.5% of the height of the actual rocket, we can use this ratio to solve for the height of the actual rocket.

Let's denote the height of the actual rocket as x. Since the model rocket is 4.5% (or 0.045) of the actual rocket's height, we can set up the equation:

0.045x = 1.32

To solve for x, we divide both sides of the equation by 0.045:

x = 1.32 / 0.045

Calculating this expression gives us the height of the actual rocket as 29.33 meters.

The number you should subtract from the numerator (52367) and add to the denominator (47633) of the fraction 52367/47633 to obtain 17/38 after reducing is 21,458.

The equation is:

(52367 - 21458) / (47633 + 21458) = 17/38

To solve this problem, we need to find the number that, when subtracted from the numerator (52367) and added to the denominator (47633), will result in a fraction that reduces to 17/38.

Let's call this number x.

Step 1: Subtract x from the numerator and add x to the denominator.

(52367 - x) / (47633 + x)

Step 2: Set the resulting fraction equal to 17/38 and cross-multiply.

(52367 - x) / (47633 + x) = 17/38

(52367 - x) × 38 = 17 × (47633 + x)

Step 3: Solve for x.

1,990,946 - 38x = 810,761 + 17x

1,180,185 = 55x

x = 21,458

Therefore, the number you should subtract from the numerator (52367) and add to the denominator (47633) to obtain 17/38 after reducing is 21,458.

The equation representing this process is:

(52367 - 21458) / (47633 + 21458) = 17/38