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3 years ago

What is the probability of rolling an odd number with one roll of a number cube.

Mathematics

1 answer:

polet [3.4K]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

There are 6 sides on a number cube, each labeled with 1,2,3,4,5, and 6.

Out of these, 2,3, and 5 are odd numbers. That's 3.

Probability is the (number of ways the event can occur)/(total number of possible outcomes)

So 3/6=1/2

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Expand the following.... please help

Evgesh-ka [11]

= (3/8) (16x + - 24)
=(3/8) (16x) +(3/8)(-24)
=6x - 9

4 0

3 years ago

9/10_ 78/100 greater equal less than

emmainna [20.7K]

Answer:

9/10 > 78/100

Step-by-step explanation:

9/10 * 10/10 = 90/100

90/100 > 78/100

7 0

3 years ago

Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob

Anit [1.1K]

Answer:

The probability that Joe's stock will go up and he will win in the lottery is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

X = the stock goes up

Y = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events X and Y are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events A and B is,

$P(A\cap B)=P(A)\times P(B)$

Compute the value of P (X ∩ Y) as follows:

$P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005$

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.

3 0

2 years ago

Read 2 more answers

Evaluate the following expression when x = 1/2 and y = -3. -4xy

solong [7]

Answer:6

Step-by-step explanation:

-4xy

-4(1/2)(-3)

-4(-1.5)

3 0

2 years ago

Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0

pshichka [43]

Answer:

(a) The value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of μ.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

H₀: μ = 74 vs. Hₐ: μ < 74.

The information provided is:

σ = 7

n = 25

As the population standard deviation is known, we will use a z-test for single mean.

(a)

The z-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The z-score for sample mean is given by:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

If $\bar x$ = 72.3 compute the corresponding z-score as follows:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

$=\frac{72.3-74}{7/\sqrt{25}}\\=-1.21$

Thus, the value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of μ.

(b)

So the test statistic is, z = -1.21.

Compute the p-value of the test as follows:

$p-value=P(Z$

*Use a z-table.

The decision rule says to, reject the null hypothesis if the p-value is less than the significance level α = 0.01 and vice-versa.

p-value = 0.1131 < α = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0

2 years ago