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4 years ago

Draw place value disks on the place value chart 0.7 ÷ 4

1 answer:

4 0

Change 0.7 to 7/10 and 4 to 1/4,so it'll be 7/10x1/4, then find least common denominator, 40.change fractions to 28/40x10/40=280/40=70

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This is a picture of a cube and the net for the cube. What is the surface area of the cube?

posledela

Answer:

6a²

Step-by-step explanation:

6×5² = 6×25 = 150cm²

thank you

8 0

2 years ago

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The leg of a right triangle is four units in the hypotenuse is nine units what is the length in units of the other leg of the tr

lianna [129]

Answer:

Square root of 65 units.

Step-by-step explanation:

Length of the other leg = sqrt(9^2 -4^2) (By Pythagoras),

= sqrt(81-16)

= sqrt65

6 0

2 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

(1 point) find an equation of a plane containing the line r=⟨4,1,3⟩+t⟨−5,−8,4⟩r=⟨4,1,3⟩+t⟨−5,−8,4⟩ which is parallel to the plan

Irina18 [472]

no rurio greob tryo yeu

7 0

4 years ago

I could use some help my math teacher never taught us this

Marina CMI [18]

15 or lower bc if u have 6cm and 10cm on the other the base must be lower so 6+10 overlap

5 0

3 years ago

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