Give the probability distribution for the indicated random variable. HINT [See Example 3.] (Enter your probabilities as fractions.) A red die and a green die are rolled, and X is the larger of the two numbers facing up. x 1 2 3 4 5 6

Answer: n=9

Step-by-step explanation:

81 = n>4*n

81 = 9(>4)*9

81 = 9*9

Answer:

b = -3

Step-by-step explanation:

Solve for b:

4 b - 4 2 + 24 = 20 - 16

-4×2 = -8:

4 b + -8 + 24 = 20 - 16

Grouping like terms, 4 b - 8 + 24 = 4 b + (24 - 8):

4 b + (24 - 8) = 20 - 16

24 - 8 = 16:

4 b + 16 = 20 - 16

20 - 16 = 4:

4 b + 16 = 4

Subtract 16 from both sides:

4 b + (16 - 16) = 4 - 16

16 - 16 = 0:

4 b = 4 - 16

4 - 16 = -12:

4 b = -12

Divide both sides of 4 b = -12 by 4:

(4 b)/4 = (-12)/4

4/4 = 1:

b = (-12)/4

The gcd of -12 and 4 is 4, so (-12)/4 = (4 (-3))/(4×1) = 4/4×-3 = -3:

Answer: b = -3

Answer:

Original height = 144 cm

Increase height = 148.5 cm

Change in height = 148.5 - 144 = 4.5 cm

Percentage change = change/original ×100

= (4.5 / 148.5) × 100

= 3.03%

The height increased by 3.03%.

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

148.5 - 144 = 4.5

[tex]\frac{Difference}{Initial Amount}[/tex] × 100

[tex]\frac{4.5}{148.5}[/tex] × 100 = 3.03 ≈ 3%

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Answer: 8hrs

Step-by-step explanation:

Answer:

EF, FG, GH, EG, FH, EH

Step-by-step explanation:

These are all the ones under def. line segment.

See the attachment. It will be helpful.

Answer:

The rate of the jet in still wind is 1160 MPH and the rate of the wind is 240 MPH.

Step-by-step explanation:

Distance equals rate times time (d = rt)

Against the wind, the rate is:

4600 = r * 5

r = 4600/5 = 920 MPH

With the wind, the rate is:

4200 = r * 3

r = 4200/3 = 1400 MPH

Let W be the rate of the wind in MPH. We know that:

(rate of the jet against the wind) + (rate of the wind) = (rate of the jet with the wind ) - (rate of the wind), so:

920 + W = 1400 - W

2W = 480

W = 240 MPH

And the speed of the jet in still air would be:

1400 - 240 = 1160 MPH

Answer:

the answer is 4x

Step-by-step explanation:

you are subtracting 1x

Answer:

4 miles

Step-by-step explanation:

1 1/4 there + 1 1/2 around + 1 1/4 back= 4 miles

Answer:

The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions

Step-by-step explanation:

hope it help

Answer:

D = b² - 4ac

Step-by-step explanation:

if,

ax² + bx + c = 0

Answer:

He bought 4 drinks

Step-by-step explanation:

18.25= 2.25(5)+1.75d

18.25= 11.25+ 1.75d

18.25-11.25= 7

7= 1.75d

7/1.75

4=d

Answer:

4 drinks

Step-by-step explanation:

t = 2.25h + 1.75d

T = Total Cost

H = Hotdogs

D = Drinks

We have our total cost, which is $18.25 dollars

18.25 = 2.25h + 1.75d

We know Costas bought 5 hotdogs, so replace h with 5 and multiply :

2.25(5)

==> 11.25

Now that 11.25 dollars has been made, let's see how much money we need left to fit for the drinks.

18.25 - 11.25

==> 7

We need 7 dollars worth of drinks, so divide the cost by the amount we need to have.

7 / 1.75

==> 4

Castos needs to buy 4 drinks.

Answer:

| and |V only

Step-by-step explanation:

4, 25, and 32 are Counting numbers, while 0 is a whole number B)

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

Explanation:

The plane needs to go up 29,000-8,000 = 21,000 feet

It does so at a rate of 3500 ft per min

So it needs 21000/3500 = 6 minutes to get to the proper height.

---------

You can think of it like the equation

3500x = 21000

where x is the number of minutes needed. Dividing both sides by 3500 solves to x = 6.

-----------

Or you could think of it like this

1 minute = 3500 feet

1/3500 minute = 1 foot (divide both sides by 3500)

1 foot = 1/3500 minute

21000 feet = 21000/3500 minute (multiply both sides by 21000)

21000 feet = 6 minutes

This shows that to go up 21000 feet, the plane needs 6 minutes to do so.

Answer:

(x + 1)(x + 1) = 0  OR  (x + 1)^2 = 0

Step-by-step explanation:

First, we need to get the trinomial x^2 + 2x = -1 all on one side of the equation.

x^2 + 2x = -1

x^2 + 2x + 1 = -1 + 1

x^2 + 2x + 1 = 0

Now that the trinomial is on the left-hand side, let's factor the equation.

x^2 + 2x + 1 = 0

(x + 1)(x + 1) = 0

We can simplify this factored trinomial further to be:

(x + 1)(x + 1) = 0

(x + 1)^2 = 0

Cheers.

Answer:

Distance = 8

[tex]Formula =\\\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}[/tex]

Step-by-step explanation:

[tex](17,3)=(x_1 , y_1 )\\ (17,-5)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\d = \sqrt{(17-17)^2+(-5-3)^2}\\\\ d = \sqrt{(0 )^2+(-8)^2}\\\\d = \sqrt{0 +64}\\\\ d = \sqrt{64} \\\\d = 8[/tex]

Answer:

  104°

Step-by-step explanation:

The marked angles have the same measure, so ...

  (4x +10) = (7x -11)

  21 = 3x . . . . . . . . . . . add 11-4x

  7 = x . . . . . . . . . . . . . divide by 3

Then angle C is ...

  C = (4x +10)° = (4(7) +10)° = 38°

The measure of angle A is 180° -2(38°) = 104°.

_____

That angle will have the same measure whether the pennant is rotated or not.

Answer:

$5

Step-by-step explanation:

$60 earned for moving 12 lawns

Amount of money per lawn is:

Answer is amount per lawn is $5

Answer:

$5

or

$5 / 1 lawn

Step-by-step explanation:

The process is quite simple - especially since you already have half of the answer.  The question says money per lawn.  The creator of the problem gave away a lot of the answer.  They already tell us the rate.  Now all ou have to do is plug the numbers in:

Money per lawn

Money / lawns (The slash is used to represent per)

What is the money? $60. So plug that in:

$60 / lawns

How many lawns? 12.  Plug that in:

$60 / 12 lawns

Now, all you have to do is either simplify the fraction or divide the denominator by the numerator - whichever one you prefer.  In that case, the rate can be any of the following:

$5

$5 / 1 lawn

Hope this helps! Tell me if I am wrong!

Answer: x=20

Step-by-step explanation:

1/2x + 7  =x -3            add 3 to both sides

          +3      +3

1/2x + 10 = x          Subtract 1/2x from both sides

-1/2x          -1/2x

        10 = 1/2x

  x = 20

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

We can solve for x by simplifying the equation until we have x isolated on one side.

[tex]\frac{1}{2}x + 7 = x-3[/tex]

Subtract 7 from both sides:

[tex]\frac{1}{2}x = x-10[/tex]

Subtract x from both sides:

[tex]-\frac{1}{2}x = -10[/tex]

Multiply both sides by -2:

[tex]x = 20[/tex]

Hope this helped!

Answer:

0.7176

Step-by-step explanation:

We solve this question, using z score formula.

Z score formula = (x - μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation.

For z1, where x1 = 2.8, μ = 4, σ = 0.5

z score formula = (2.8 - 4)/0.5

= -2.4

We find the probability of the z score using the z score table.

P(x = 2.8) = P(z = -2.4)

= 0.0081975

For z2, where x2 = 4.3, μ = 4, σ = 0.5

z score formula = (4.3 - 4)/0.5

= 0.3/0.5

= 0.6

We find the probability of the z score using the z score table.

P(x = 4.3) = P(z = 0.6)

= 0.72575

The probability that an item will take between 2.8 and 4.3 hours to move through the assembly line is calculated as:

= 2.8 < x < 4.3

= P(z = 0.6) - P(z = -2.4)

= 0.72575 - 0.0081975

= 0.7175525

Approximately ≈ 0.7176

Therefore, the probability that an item will take between 2.8 and 4.3 hours to move through the assembly line is 0.7176

Answer:

-4,-3,-2,-1,0,+1,+2,+3..........

Step-by-step explanation:

-4 is greater than -5.

A number system is defined as a system of writing to express numbers.

An integer is the number zero, a positive natural number or a negative integer with a minus sign.

We need to find the integer which is greater than -5.

When we look into the number line we get an idea that the numbers with minus values are smaller than the positive values.

The greatest number with minus sign is smaller than the smallest number with minus sign.

-4 is greater than -5.

Not only -4 but the integers -4,-3,-2, -1, 0,1,2..... are greater.

Hence, -4 is greater than -5.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

191.56

Step-by-step explanation:

Given

191.5638

Required

Approximate

Approximating to the nearest hundredth implies that, only to digits after the decimal point is needed

This is:

191._ _

The third digit after the decimal point will approximated using the approximation rule;

Since, the third digit after the decimal point (3) is not up to 5, it'll be approximated to 0 and added to the second digit (6)

So, we have:

191.5 _

The next digit is calculated as 6 + 0 = 6

Hence, the full approximated number is 191.56

Answer:

b< -76

Step-by-step explanation:

Answer is any number smaller than -76

Answer:

Answer:

b< -76

Step-by-step explanation:

8 - 1/4 b > 27         ⇒ add -8 to both sides

-1/4b > 27 - 8      

-1/4 b > 19              ⇒ multiply both sides by -4

b < - 4*19               ⇒ change inequality sing to opposite due to multiplication to negative number

b < - 76                  ⇒ answer

Answer is any number smaller than -76

Step-by-step explanation:

Answer:

(0,-2)

Step-by-step explanation:

Plug in each value for the equation

-3(0) - (-2) = 2

0 - (-2) = 2

2=2

Answer:

rational number

Step-by-step explanation:

A whole number does not have a decimal part so it cannot be a whole number

Integers are whole numbers that are positive and negative plus zero

-.23 can be written as the ratio of integers

-23/ 100 so it is a rational number

Answer:

Rational

Step-by-step explanation:

A whole number does not have a decimal part so it cannot be a whole number

Integers are whole numbers that are positive and negative plus zero

-.23 can be written as the ratio of integers

-23/ 100 so it is a rational number

Answer:

$5.31/lb

Step-by-step explanation:

Since 4 pounds cost $21.25, 1 pound of strawberries will cost 21.25 / 4 ≈ 5.31, therefore, the unit rate is $5.31/lb.

Answer:

$5.31 per pound.

Step-by-step explanation:

$21.25 for so

%21.25/4= $5.31

The answer is $5.31 per pound.

Answer:

871 and 1/2 feet is correct

Step-by-step explanation:

Answer:

5 days

Step-by-step explanation:

You subtract $610 from $1800. You should get 1190.

Then divide 1190 with 238.

The answer you get should be 5.

Answer:

5 days

Step-by-step explanation:

Answer:

the answer 18 because:

40=2X+4

Answer: Go here https://quickmath.com/webMathematica3/quickmath/equations/solve/basic.jsp

Step-by-step explanation:

It will show you how

Answer:

Value of [tex]x[/tex] is $15$ degrees and measure of a vertical angle is $105$°

Step-by-step explanation:

These are vertically opposite angles which are congruent and hence equal.

Thus,

[tex]x+90=7x\\

\implies 90=6x\\

\implies x=\frac{90}{6}=\frac{30}{2}=15^o[/tex]

Find the measure of a vertical angle by putting the value of $x$ as $15$

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Hi my lil bunny!

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Let's simplify step-by-step.

[tex]Log (5) + (3 log (2)) - \frac{log(4)}{log(10)}[/tex]

[tex]= 0.69897 + 3(log (2)) - \frac{log (4)}{log (10)}[/tex]

[tex]= 0.69897 + (3) (0.30103) - \frac{log (4)}{log(10)}[/tex]

[tex]= 0.69897 + 0.90309 - \frac{log (4)}{log(10)}[/tex]

[tex]= 1.60206 - \frac{log(4)}{log(10)}[/tex]

[tex]= 1.60206 - \frac{1.60206}{log (10)}[/tex]

[tex]= 1.60206 - \frac{1.60206}{1}[/tex]

[tex]= 1.60206 - 0.60206[/tex]

[tex]= 1[/tex]

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Have a great day/night!

❀*May*❀