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3 years ago

You flip a coin and then roll a fair six-sided die. Find probability the coin lands heads-up and the die shows a five

Mathematics

2 answers:

IceJOKER [234]3 years ago

7 0

Answer:

A "fair" coin lands heads-up half of the time and "tails-up" half of the time.

For one flip, the probability of landing heads-up is 1/2.

Of those successes, we now consider the probability of the "fair" die landing with an even number on top. This probability is (number of successes) / (total number of possibilities) = 3/6, or 1/2.

So, the probability of both events happening ("and") is 1/2 of 1/2, or (1/2)*(1/2) = 1/4.

Step-by-step explanation:

stepladder [879]3 years ago

4 0

Answer:

5 cent

Step-by-step explanation:

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The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri

damaskus [11]

Answer:

$P(|\bar{x}-40| > 0.6)=0.5404$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40 dollars

Standard Deviation, σ = 7 dollars

Sample size,n = 51

We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{7}{\sqrt{51}} = 0.9801$

P(sample mean would differ by true mean by more than 0.6)

$P(|\bar{x}-40| > 0.6)\\\Rightarrow = 1-P(39.4$

$P(39.4 \leq x \leq 40.6) \\\\= P(\displaystyle\frac{39.4 - 40}{0.9801} \leq z \leq \displaystyle\frac{40.6-40}{0.9801})\\\\ = P(-0.6121 \leq z \leq 0.6121)\\= P(z \leq 0.6121) - P(z < -0.6121)\\= 0.7298 - 0.2702 =0.4596$

$P(|\bar{x}|-40 > 0.6)\\= 1-0.4596=0.5404$

0.5404 is the required probability.

6 0

3 years ago

Use a Benchmark fractions to compare 7/10 and 5/12 explain answer

Nady [450]

Alright The Right Ans Is 30/60-42/60=12/60

3 0

3 years ago

Value of x when the richter scale rating is 7.9

Mnenie [13.5K]

My answer -

7.90

note -

Glad to help you and if you need anything else on brainly let me know have a AWESOME!!! day.

4 0

3 years ago

What is the value of x to the nearest tenth??

Stolb23 [73]

Answer:

$\displaystyle 12,3 ≈ x$

Step-by-step explanation:

We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the cotangent [or tangent] ratio, this time with two angle measures:

$\displaystyle cot\:39° = \frac{x}{10} → 10cot\:39° ≈ 12,34897157 ≈ 12,3 \\ \\ tan\:39° = \frac{10}{x} → \frac{10}{tan\:39°} ≈ 12,34897157 ≈ 12,3 \\ \\ \\ OR \\ \\ \\ cot\:51° = \frac{10}{x} → \frac{10}{cot\:51°} ≈ 12,34897157 ≈ 12,3 \\ \\ tan\:51° = \frac{x}{10} → 10tan\:51° ≈ 12,34897157 ≈ 12,3$

Extended Information on Trigonometric Ratios

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

I am joyous to assist you anytime.

3 0

3 years ago

Juan Ramirez sells suits in a major department store on weekends. He earns a commission of 5 percent on the first 10 suits, and

SVETLANKA909090 [29]

He makes 125 on the first ten and 60 on the next three so 185

7 0

3 years ago