In a game of Yahtzee, five balanced dice are rolled simultaneously. Find the probabilities of getting (a) two pairs; (b) three of a kind; (c) a full house (three of a kind and a pair); (d) four of a kind.

Answer: 0.12

Step-by-step explanation:

The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:

= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)

= 0.12

9514 1404 393

Answer:

  120

Step-by-step explanation:

The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...

  6 × 5 × 4 = 120

3 posters of 6 can be displayed 120 ways.

Answer:

They have to go 30 m below sea level to reach wreckage.

Step-by-step explanation:

jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level.

Below sea level means = -40 m

Above sea level means = +10 m

It means,

-40 m + 10 m

= -30 m

Hence, they have to go 30 m below sea level to reach wreckage.

Answer:

d. 10%

Step-by-step explanation:

1. Information to know

15 cards left in the deck, and 5 are diamond, to find the probability of the next 2 cards being diamond, one has to find the probability of the 1st card as a diamond, and then multiply it by the probability of the 2nd card being a diamond.

Remember, probability is;

[tex]\frac{favorable-outcomes}{total-outcomes}[/tex]

2. Find probability 1

favorable out comes; diamond = 5

total outcomes; total cards = 15

probability is; [tex]\frac{5}{15}[/tex]

Simplified; [tex]\frac{1}{3}[/tex]

3. Finding probability 2

If the last card drawn was a diamond then the new numbers will be

favorable outcomes; 4

total outcomes; 14

Probability is; [tex]\frac{4}{14}[/tex]

Simplified; [tex]\frac{2}{7}[/tex]

4. Total probability

Now, one has to multiply the first probability by the second probability to find the probability of the event;

[tex]\frac{1}{3} * \frac{2}{7}[/tex]

= [tex]\frac{2}{21}[/tex]

= 0.095238

~10%

Answer:

f(x)=-3x+9

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Elena walk 12 miles, and then 0.25 that distance

0.25=1/4

12*1/4=3 miles is 1/4 of the distance

she walked in total 12+3=15 miles

choice A =12+12*1/4

Elena walked a total 12(1+0.25) distance.

The distance is the total movement of an object without any regard to direction.

First Elena walked 12 miles.

Then walked 0.25 or (1/4)th of 12 miles

i.e. 12 * (1/4) = 3

The total distance Elena walked is

12+3 = 15 miles or

12 + (1/4)*12 = 12(1+0.25)

Hence, 12(1+0.25) is the total distance walked by Elena.

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Answer:

- 1/4 × 2/5 + - 4/5 + - 3/4 = -33

20

= -1 13

20

= -1.65

Step-by-step explanation:

Answer:

the answer iss...−1.65

Step-by-step explanation:

Answer:

C: A randomized block design experiment

Step-by-step explanation:

We are told the participants are divided by gender into groups which we can call blocks. Then, within each group, they are randomly assigned to either the treatment or control group. This means they are assigned treatments within each block.

A randomized block design is defined as an experimental design whereby the experimental units are divided into groups which we call blocks. After that treatments will be randomly assigned to the experimental units within each of the blocks.

Thus, this corresponds with our question and we can say it's a randomized block design experiment.

Answer:

[tex]\boxed{\blue{ \sf Perimeter \ of \ the \ figure \ will \ be \ 28 units . }}[/tex]

Step-by-step explanation:

Given points to us are ,

[tex]\qquad A(-4,2) \\\qquad B(3,2)\\\qquad C(3,-5) \\\qquad D(-4,-5) [/tex]

For the graph refer to the attachment .

On plotting the graph we see that , it forms a shape of a square .

And , Distance between two points is 4 + 3 = 7 units .

And , the perimeter of square is given by ,

[tex]\qquad \boxed{\red{\sf Perimeter_{square}=4(side) }}[/tex]

[tex]\implies Perimeter_{square}=4(side) \\\\ \implies Perimeter= 4 \times 7 units \\\\\boxed{\pink{\tt \implies Perimeter_{square}=28 \:units . }}[/tex]

Hence the perimeter of the figure is 28 units .

Answer:

Median: 3.5 Mode: 3, 7 Mean: 4.2

Step-by-step explanation:

hope this helps :)

Answer:

3m 95cm

Step-by-step explanation:

its... simple math? i added 2 and 1; and 30 and 65?

Answer:

NONONO the answer is C

Step-by-step explanation:

Multiply -3 by -1 gives 3. 3 plus 15 IS equal to 18!

Answer:

The answer is C

Step-by-step explanation:

3x+15=18

if x = -1

-3 (-1) + 15 = 18

negative times negative makes positive so

3+15=18

Answer:

B.

Step-by-step explanation:

To find the value of w in terms of x and y, we need to substitute the given values of x and y into the equation for w. First, we are given the equation [tex]x = 3(y + 2) - 1[/tex].

Let's simplify this equation before substituting it into the equation for w. Expanding the equation, we have: [tex]x = 3y + 6 - 1 x = 3y + 5[/tex] Now we can substitute the value of x into the equation for w. w [tex]= (x - 3y + 1) / 3[/tex] Substituting the value of x from the earlier equation: w [tex]= (3y + 5 - 3y + 1) / 3 w = (6y + 6) / 3[/tex]

At this point, we can further simplify the equation by dividing both the numerator and denominator by 3: w[tex]= 2y + 2[/tex]Therefore, the value of w in terms of x and y is w[tex]= 2y + 2. I[/tex]n summary: Starting with x [tex]= 3(y + 2) - 1,[/tex]we substituted the value of x into the equation for w and simplified to obtain w [tex]= 2y + 2.[/tex]

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Answer:

And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.

Answer: Net Income

The gross income is the amount of money you earn before taxes, deductions, etc. The net income is gross income minus those fees.

Net income = (gross income) - (fees)

Answer:

0 students love the museum

Step-by-step explanation:

since the percentage of students that love the museum is zero, no matter how many students went, the number of people who like the museum will always be 0

now if 100 students went and 32% loved the field trip, then you would take 32% of the amount of students who went, to find the exact number of students who liked the field trip

32% of 100 is 32, so in my example, 32 people loved the museum

Answer:

This is the answer. All the very best. Do it

Answer: the 2 on the right

Step-by-step explanation:

Answer:

[tex]108\ \text{m}^2[/tex]

Step-by-step explanation:

The sides are rectangle is shown in the diagram

The perimeter of the fence will be

[tex]3x+2y=36\\\Rightarrow x=\dfrac{36-2y}{3}[/tex]

Area of the smaller section of the garden

[tex]A=xy\\\Rightarrow A=\dfrac{36-2y}{3}y\\\Rightarrow A=\dfrac{36y-2y^2}{3}[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dA}{dy}=\dfrac{1}{3}(36-4y)[/tex]

Equating with zero we get

[tex]\dfrac{1}{3}(36-4y)=0\\\Rightarrow 36-4y=0\\\Rightarrow y=\dfrac{36}{4}\\\Rightarrow y=9[/tex]

Double derivative of area

[tex]\dfrac{d^2A}{dy^2}=-4<0[/tex]

at y = 9 the area is maximum

[tex]x=\dfrac{36-2y}{3}=\dfrac{36-2\times 9}{3}\\\Rightarrow x=6[/tex]

The sides of the entire garden are [tex]2y=2\times 9=18\ \text{m}[/tex] and [tex]6\ \text{m}[/tex]

The maximum area of the natural fertilizer garden is [tex]18\times 6=108\ \text{m}^2[/tex]

Answer:

P(X< 40) = 0.014367

Step-by-step explanation:

From the given information:

Suppose X denotes the strength of each steel strand & X follows the lognormal distribution with a mean value [tex]\mu_x[/tex] = 50 kips & coefficient of variation CV = 10%

Using the formula for the coefficient of variation CV

[tex]cv = \dfrac{\sigma_x}{\mu_x}[/tex]

[tex]0.10 = \dfrac{\sigma_x}{50}[/tex]

[tex]\sigma_x = 50 (0.10)[/tex]

[tex]\sigma_x = 5[/tex]

By applying the mean and mean & variance from the lognormal distribution, we have:

[tex]\dfrac{\sigma_x^2}{\mu_x}= \dfrac{\{exp(2 \mu + \sigma^2)\} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}[/tex]

[tex]\dfrac{5^2}{50}= \dfrac{\{exp(2( \mu + \dfrac{\sigma^2}{2})) \} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}[/tex]

[tex]\dfrac{5^2}{50}= exp \{ 2 ( \mu + \dfrac{\sigma^2}{2}) - ( \mu + \dfrac{\sigma^2}{2}) \} \{ ( exp ( \sigma^2))-1 \}[/tex]

[tex]\dfrac{5^2}{50}=exp \{(\mu + \dfrac{\sigma^2}{2}) \} {(exp (\sigma^2))-1 \}[/tex]

[tex]\dfrac{5^2}{50}=50 \{ (exp (\sigma^2 )) -1 \}[/tex]

[tex]\dfrac{25}{50 \times 50 }= ( exp (\sigma^2 )) -1[/tex]

[tex]exp( \sigma^2) = \dfrac{25}{50 \times 50}+ 1[/tex]

[tex]exp( \sigma^2) = (\dfrac{25+2500}{2500 })[/tex]

[tex]exp( \sigma^2) =1.01[/tex]

[tex]\sigma^2 = In (1.01)[/tex]

[tex]\mathbf {\sigma^2 = 0.00995}[/tex]

However, the next process is to replace the value of [tex]\sigma^2[/tex] into the logman distributions mean.

[tex]\mu_x = exp ( \mu + \dfrac{\sigma^2}{2})[/tex]

[tex]50 = exp ( \mu + \dfrac{\sigma^2}{2})[/tex]

[tex]50 = exp ( \mu + \dfrac{0.00995}{2})[/tex]

[tex]In(50) = ( \mu + \dfrac{0.00995}{2})[/tex]

3.912023 = μ +0.004975

μ = 3.907048

Now, we know our mean to be  3.907048 and the variance to be 0.00995.

Therefore, the probability that the weakest strand will have a strength of fewer than 40 kips can be computed as follows:

P(X< 40) = P(In(x) < In(40))

[tex]P(X<40) = P(\dfrac{In(x) - \mu}{\sigma} < \dfrac{In(40) - \mu}{\sigma})[/tex]

since;

[tex]\sigma^2 = 0.00995 \\ \\ \sigma = \sqrt{0.00995} \\ \\ \sigma = 0.0998[/tex]

[tex]P(X<40) = P(Z < \dfrac{In(40) - 3.907048}{0.0998})[/tex]

P(X< 40) = P(Z < -2.18712)

Using the Excel formula =(=NORMDIST (-2.18712)

P(X< 40) = 0.014367

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]x^{3} * 3^{3} = 6^{3}[/tex]

[tex]=> (3x)^{3} = 6^{3}[/tex]

[tex]=> 3x = \sqrt[3]{6^{3}} = 6[/tex]

[tex]=> x = \frac{6}{3} = 2[/tex]

Answer:

[tex] {x}^{3} \times {3}^{3} = {6}^{3} \\ take \: cube \: root \: on \: both \: side \ \\ \sqrt[3]{ {x}^{3} } \times \sqrt[3]{ {3}^{3} } = \sqrt[3]{ {6}^{3} } \\ x \times 3 = 6 \\ x = \frac{6}{3} \\ x = 2 \\ thnk \: you[/tex]

Answer:

uh it's already simplest-

but ig you rounded to 6 decimal places

so it would be 0.053

Answer:

a= -12

hope it helps.

and also sorry, if I'm wrong.

Answer:

a=-24

Step-by-step explanation:

a-8×6=12×-6

a-48=-72

a=-72+48

a=-24

Answer:

5x + 10y + 5z

Step-by-step explanation:

( 1/2 x 10x ) + ( 1/2 x 20y ) + ( 1/2 x 10z )

Hello!

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Answer:

it c

Step-by-step explanation:

you have to time 5 with the c and 40 time 41 then add the two answers

Answer:

94. E

95. A

96. F

97. B

98. H

99. D

Hope this helps :)