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An unbiased dice with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained, the probability that the minimum value is not less than 2 and the maximum value is not
greater than 5 is:
a) 1/81 b) 80/81
c) 16/81 d) 65/81

Solution with some explanation

Answer:

Step-by-step explanation:

bc + ad = b

bc + ad/bc = b/bc

ad = b/bc

ad/d = b/bc + d

a = b/bc+d

Answer: 24.8 and 155.2

Step-by-step explanation:

x+x+130.4=180

2x=49.6

x=24.8

Answer:

155.2

Step-by-step explanation:

let x be the supplimentary angle

then the angle is

130.4+x

we have

130.4+x+x=180

2x=49.6

multiply both sides with 2

x=24.8

then the angle is

130.4+24.8

155.2

Answer:

[tex]\red{\underline{\underline{\sf{Answer :-}}}} [/tex]

There are three characteristics of a binomial experiment. There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials. There are only two possible outcomes, called “success” and “failure,” for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial.

p

+

q

=

1

. The n trials are independent and are repeated using identical conditions. Because the n trials are independent, the outcome of one trial does not help in predicting the outcome of another trial. Another way of saying this is that for each individual trial, the probability, p, of a success and probability, q, of a failure remain the same. For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly. Suppose Joe always guesses correctly on any statistics true-false question with probability

p

=

0.6

. Then,

q

=

0.4

. This means that for every true-false statistics question Joe answers, his probability of success

(

p

=

0.6

)

and his probability of failure

(

q

=

0.4

)

remain the same.

The outcomes of a binomial experiment fit a binomial probability distribution. The random variable

X

=

the number of successes obtained in the n independent trials.

The mean,

μ

, and variance,

σ

2

, for the binomial probability distribution are

μ

=

n

p

and

σ

2

=

n

p

q

. The standard deviation,

σ

, is then

σ

=

√

n

p

q

.

Any experiment that has characteristics two and three and where

n

=

1

is called a Bernoulli Trial (named after Jacob Bernoulli who, in the late 1600s, studied them extensively). A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.

Answer:

131.18

Step-by-step explanation:

Answer:

Positive 5.

Step-by-step explanation:

Opposite of negative 5 is positive 5.

The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.

Answer:positive 5

Step-by-step explanation:

Answer:750 divided by 3

Step-by-step explanation:

Answer: 3x + 1

Step-by-step explanation:

A p e x

Answer:

A is 6 23/56

B is 3 4/15

Step-by-step explanation:

Answer:

a. 6 23/56

b. 3 4/15

Step-by-step explanation:

1. First you need have the same denominators.

5 16/56 and  1 7/56

5 16/56 + 1 7/56 = 6 23/56

2. Again you have to find the same denominators.

4 10/15 and 1 6/15

4 10/15 - 1 6/15 = 3 4/15

3 4/15

Answer:

3 is b

4 is also b

Step-by-step explanation:

Answer:

C. 1.5

Step-by-step explanation:

replace the values in the equation with the values given.

Answer:

I think it will be C. 1.5

Step-by-step explanation:

i work in paper sheet please see it

Final Answer: [tex]d = -\frac{1}{4}[/tex]

Steps/Reasons/Explanation:

Question: Equations with variables on both sides: decimals & fractions, [tex]6d - \frac{11}{2} = 2d - \frac{13}{2}[/tex].

Step 1: Subtract [tex]2d[/tex] from both sides.

[tex]6d - \frac{11}{2} - 2d = -\frac{13}{2}[/tex]

Step 2: Simplify [tex]6d - \frac{11}{2} - 2d[/tex] to [tex]4d - \frac{11}{2}[/tex].

[tex]4d - \frac{11}{2} = -\frac{13}{2}[/tex]

Step 3: Add [tex]\frac{11}{2}[/tex] to both sides.

[tex]4d = -\frac{13}{2} + \frac{11}{2}[/tex]

Step 4: Simplify [tex]-\frac{13}{2} + \frac{11}{2}[/tex] to [tex]-1[/tex].

[tex]4d = -1[/tex]

Step 5: Divide both sides by [tex]4[/tex].

[tex]d = -\frac{1}{4}[/tex]

~I hope I helped you :)~

Given:

Slope is undefined.

To find:

Which graph has an undefined slope?

Solution:

We know that, slope is change in y-values with respect to x-values.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope is undefined if the denominator is 0.

[tex]x_2-x_1=0[/tex]

[tex]x_2=x_1[/tex]

It means, the x-values are same. It is possible only for a vertical line.

Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form [tex]x=a[/tex], where, a is a constant and it can be any real number.

Answer

2 apples per $1

Step-by-step explanation:

because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar

Answer:

I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.

Answer:

8 + 1/3n

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part A

for f(x) slope between points (-1,-6) and (1,0)

m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3

for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5

The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper

part B

The y intercept for g(x) is  (0, -5)

The equation of f(x) can be found

y-y1 =m(x-x1) take any point for example point (1,0)

y-1 =3(x-0)

y=3x+1 so the y-intercept is at (0,1)

The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5

Answer:

280 km

Step-by-step explanation:

Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of  70km/hour.

Half an hour later the second bus, say [tex]b_2[/tex],  leaves a station traveling north at speed of  70km/hour.

As, distance = speed x time,

so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.

Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.

Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.

The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km

[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]

and the distance traveled by the second bus, [tex]d = 80t[/tex] km

[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]

Now, equation the equation (i) and (ii), we have

[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]

Hence, both the bus will meet at a distance of 280 km from the station.

Answer:

26 trees

Step-by-step explanation:

Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?

Given:

b + 2c + 3j

Where,

b = number of hours Ben spends chopping

c = number of hours Cam spends chopping

j = number of hours Justin spends chopping

Substitute the below into the given expression

b = 8 hours

c = 3 hours

j = 4 hours

b + 2c + 3j

= 8 + 2(3) + 3(4)

= 8 + 6 + 12

= 26 trees

They chopped down 26 trees altogether

Answer:

120

Step-by-step explanation:

Answer:

16.) second choice: (5,-6)

17.) third choice: (-10) (-8) (-5) (0) (1)

18.) fourth choice: (.18) (0.4) (1/4) (227)

Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

=================================

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

===================================

M + 113 = 180

M = 180 - 113

M = 67

L = 67

Answer:

5. x= -8/3 y + 3

Step-by-step explanation:

Answer:Evaluate: 12y+9d if y = 5 and d = 7

Step-by-step explanation:

Evaluate: 12y+9d if y = 5 and d = 7

Answer:

espanol si amego kumasta

Step-by-step explanation:

Answer:

It is $3.46

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

95.80

Step-by-step explanation:

The number 23/24 rounded to the nearest hundredth is 0.96

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Given data ,

Let the number be A = 23/24

So , in order to round the number

First we need to find the decimal for of the number A

And ,

A = 23/24

A = 0.9583

And , rounding the number to its nearest hundredth is rounding the number to two decimal places

So ,

A = 0.9583

A = 0.96

Hence , The number 23/24 rounded to the nearest hundredth is 0.96

To learn more about rounding of numbers click :

https://brainly.com/question/4896544

#SPJ5

Answer:

15.00

Step-by-step explanati

the discount is 15% because you need to subtract it

I realize that the equation is different, but do it in the same way, it'll help! It is given that the water​ taxi's path can be modeled by the equation y =0.5(x - 14)^2. ​Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water​ skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the​ y-intercept of the line.  The​ y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the​ taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of​ equations, solve the system using substitution.​ First, write the equation that models the water​ taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for  y in the equation and then solve for  x. As the expression on the left side of the equation cannot easily be​ factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.

In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.

Answer:

= 61000

Step-by-step explanation:

Move the decimal place 4 places to the right

61000

Answer:

61,000

Step-by-step explanation: Ive studied this in middle school