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4 years ago

Find the IQR of the data set

Mathematics

1 answer:

Phoenix [80]4 years ago

5 0

Find median, in this group median is 1
find Q1 which is median of lower half, in this group Q1 = 1/4

find Q3, which is median of upper half, in this group Q3 = 5/4

IQR is Q3-Q1

IQR = 5/4 - 1/4 = 4/4 = 1

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Liquid Tylenol has 325 milligrams of acetaminophen per 12.5 milliliters of liquid medicine (a fact that would be commonly abbrev

gulaghasi [49]

Answer:

10 milliliters

Step-by-step explanation:

260 mg/ 325 mg = x ml / 12.5 ml

12.5 ml x (260 mg / 325 mg) = 10 ml

7 0

3 years ago

A computer chess game and a human chess champion are evenly matched. They play ten games. Find probabilities for the following e

AleksAgata [21]

Answer:

(a) The probability that each of them win five games is 0.2461.

(b) The probability that the computer wins seven games is 0.1172.

Step-by-step explanation:

Let the random variable X = the human wins a chess game.

The probability that the human wins a game is, P (X) = p = 0.50.

The number of games played by the computer and the human is, n = 10.

The random variable $X\sim Bin(n = 10,p=0.50)$

The probability distribution of the Binomial random variable X is:

$P (X=x)={n\choose x}p^{x}(1-p)^{n-x}={10\choose x}(0.50)^{x}(1-0.50)^{10-x}$

(a)

If both the computer and the human wins five games each then the probability of the human winning 5 games is:

$P (X=5)={10\choose 5}(0.50)^{5}(1-0.50)^{10-5}\\=252\times 0.03125\times0.03125\\=0.246094\\\approx 0.2461$

Thus, the probability that each of them win five games is 0.2461.

(b)

If the computer wins 7 games then the number of games won by the human is, 10 - 7 = 3.

P (Computer winning 7 games) = P (Human winning 3 games)

The probability that the human wins 3 games is:

$P (X=3)={10\choose 3}(0.50)^{3}(1-0.50)^{10-3}\\=120\times 0.125\times0.0078125\\=0.1171875\\\approx 0.1172$

Thus, the probability that the computer wins seven games is 0.1172.

(c)

Compute the probability that the human wins at least 7 games as follows:

$P(X\geq 7)=P(X=7)+P(X=8)+P(X=9)+P(X=10)\\={10\choose 7}(0.50)^{7}(1-0.50)^{10-7}+{10\choose 8}(0.50)^{8}(1-0.50)^{10-8}\\+{10\choose 9}(0.50)^{9}(1-0.50)^{10-9}+{10\choose 10}(0.50)^{10}(1-0.50)^{10-10}\\=0.1172+0.044+0.009+0.0009\\=0.1711$

Thus, the probability that the human wins at least 7 games is 0.1711.

5 0

4 years ago

Finding angle measure using triangles

Rainbow [258]

x = 58°

Explanation:

According to the diagram, lines HI and JK are parallel to each other.

∠AHI = 60°

∠JKI = 62°

∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.

So,

∠JKI = ∠HIA = 62°

In ΔHIA,

∠AHI + ∠HIA + ∠IAH = 180°

60° + 62°+ x = 180°

122° + x = 180°

x = 180° - 122°

x = 58°

3 0

4 years ago

Find the area of the composite figure below.

galben [10]

Answer:

63 cm^2.

Step-by-step explanation:

Total Area = area rectangle + area of triangle on right + area of triangle at the top.

= 6 * 8 + 1/2 * 1 * 6 + 1/2 * 8 * 3

= 48 + 3 + 12

= 63 cm^2.

3 0

3 years ago

Bottled water in the vending machine costs $1.25. This price is the markup from the wholesale cost of $0.20. What is the markup

Setler79 [48]

Answer:

626%

Step-by-step explanation:

.20x626 = 125.2

125.2÷100=$1.25

4 0

3 years ago