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2 years ago

The range of scores in each interval of a grouped frequency distribution is called the

1 answer:

3 0

The answer is class intervals. A big set of data are grouped into different classes to get a hint of the distribution, and the range of such class of data is known as the Class Interval. In other words, these are range of scores in a group frequency distribution. Class intervals are commonly equal in width and are mutually exclusive. The middle of an interval is called a class mark and the ends of a class interval are called class limits. To calculate the class interval, divide the range by the number of classes.

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You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows $25\%$ of

RideAnS [48]

Answer:

The probability that it is actually snowing in North Dakota is 17%.

Step-by-step explanation:

Note: The data in the question is not properly stated. The complete question is therefore represented to correct this as follows:

You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows 25% of the time in North Dakota, and you are thinking about bringing your parka. It turns out that you have three friends who live in North Dakota, but they are not very trustworthy: Each tells the truth 2/3 of the time, and lies for the remaining 1/3. You call your three friends, and each friend tells you that it is indeed snowing in North Dakota. Given this information, what is the probability that it is actually snowing in North Dakota?

The explanation to the answer is now given as follows:

The probability that it is actually snowing in North Dakota can be calculated using the following formula:

Pa = Pr * Pt ........................... (1)

Where;

Pa = the probability that it is actually snowing in North Dakota = ?

Pr = the prior probability that it snows in North Dokota = 25%, or 0.25

Pt = Probability of saying the truth that it snows = 2/3 = 0.67

Substituting the value into equation (1), we have:

Pa = 0.25 * 0.67

Pa = 0.17, or 17%

Therefore, the probability that it is actually snowing in North Dakota is 17%.

3 0

2 years ago

Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x

tatyana61 [14]

Answer:

$2.\ f(x) = \frac{3}{4}x^2 + 2x - 5$

Step-by-step explanation:

Given

$f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7$

Required

Which of the above is a quadratic function

A quadratic function has the following form;

$ax^2 +bx + c = 0 \ where \ a\neq 0$

So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function

$1.\ f(x) = -8x^3 - 16x^2 - 4x$

This is not a quadratic function because it follows the form $f(x) = ax^3 + bx^2 + c$ and this is different from $ax^2 +bx + c = 0 \ where \ a\neq 0$

$2.\ f(x) = \frac{3}{4}x^2 + 2x - 5$

This function has an exact match with $ax^2 +bx + c = 0 \ where \ a\neq 0$

By comparison; $a = \frac{3}{4}\ b = 2\ and\ c = -5$

$3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1$

This is not a quadratic function because it follows the form $f(x) = \frac{a}{x^2} + \frac{b}{x} + c$ and this is different from $ax^2 +bx + c = 0 \ where \ a\neq 0$

$4.\ f(x) = 0x^2 - 9x + 7$

This is not a quadratic function because it follows the form $f(x) = ax^2 +bx + c = 0\ but\ a = 0$

Unlike the quadratic function where $a\neq 0$

So, from the list of given options, only $2.\ f(x) = \frac{3}{4}x^2 + 2x - 5$ satisfies the given condition

5 0

2 years ago

Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is th

Norma-Jean [14]

1/2 * 1/2 = 1/4 there is a 25% chance that they will both occur

7 0

2 years ago

Louis is climbing steps to the top of a monument. After climbing 15 steps, Louis stops to tie his shoe. If there is a total of 7

swat32

The answer is c 20 percent because if divide 75 and 15 u get 5 so thats 20 percent.

4 0

2 years ago

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t

worty [1.4K]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

6 0

2 years ago