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3 years ago

7

Three coins are tossed onto a table and the numbers of heads is recorded. The number of possible outcomes for this event is

2 answers:

Ostrovityanka [42]3 years ago

5 0

Answer:

4!

Step-by-step explanation:

4 is correct, since there will be no heads, one head and two tails, two heads and one tail, or three heads. Notice that the order is not involved here.

Ivenika [448]3 years ago

4 0

1 coin has 2 sides. Multiply 2 × 3 to get the total number of outcomes.
2 × 3 = 6
There are 3/6 Possible outcomes.
Remember, they are looking for the number of heads, not both.

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

faust18 [17]

Answer:

The probability is $P(X \le 70) = 0.9685$

Step-by-step explanation:

From the question we are told that

The mean values is $M_1 = 15 \ minutes , \ M_2 = 30\ minutes, \ M_3 = 20 \ minutes$

The standard deviation is $\sigma_1 = 1 \ minutes , \ \sigma_2 = 2 \ minutes , \ \sigma = 1.5 \ minutes$

Generally the total mean is mathematically represented as

$\= x = \sum M_i$

=> $\= x = 15 + 30 + 20$

=> $\= x = 65$

Generally the total variance is mathematically represented as

$V(x) = \sum \sigma^2_i$

=> $V(x) = 2^2 + 1^2 + 1.5^2$

=> $V(x) = 7.25$

Generally the total standard deviation is mathematically represented as

$\sigma = \sqrt{V(x)}$

=> $\sigma = \sqrt{7.25 }$

=> $\sigma = 2.69$

Generally the probability that it takes at most 70 min of machining time to produce a randomly selected component is mathematically represented as

$P(X \le 70) = 1 - P( X > 70 )$

Here $P(X > 70) = P(\frac{X - \mu }{\sigma} > \frac{70 - 65}{ 2.69} )$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P(X > 70) = P(Z > 1.8587 )$

From the z table

The area under the normal curve to the right corresponding to 1.8587 is

$P(Z > 1.8587 ) = 0.031535$

So

$P(X \le 70) = 1 - 0.031535$

=> $P(X \le 70) = 0.9685$

7 0

3 years ago

What’s 3.24 rounded to the nearest tenth

masha68 [24]

Answer:

3.2

Step-by-step explanation:

it is closer to 3.2 than 3.3

7 0

3 years ago

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Factor using ac-method and factor completely, 25x²-30x--40 (help)

Lady bird [3.3K]

$25x^2-30x-40=\\
5(5x^2-6x-8)=\\
5(5x^2-10x+4x-8)=\\
5(5x(x-2)+4(x-2))=\\
5(5x+4)(x-2)
$

4 0

3 years ago

Read 2 more answers

What set of numbers are shaded on the hundred chart?

rosijanka [135]

Answer:

Is letter B the correct one.

Step-by-step explanation:

If you take that 12 and then multiply it x1, x2, x3, x4, x5, x6, x7 and x8 you will get the numbers in the Chart.

6 0

3 years ago

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write an algebraic expression for this word problem. An orange contains 62 calories which is x fewer calories than a nectarine.

nasty-shy [4]

Answer:

n = 62 + x

Step-by-step explanation:

From the problem given, it is clear that the orange has LESS calories than a nectarine. <em>HOW much less? "x" less.</em>

<em />

Also, orange has 62 calories. So, nectarine MUST HAVE 62 + x calories.

<em>If we let nectarine's calories be n, we can write:</em>

<em>n = 62 + x</em>

5 0

3 years ago