17.
An urn contains eight red, six white, and four green balls. Four balls are drawn at random.
(a) Compute P(all four are red).
(b) Compute P(exactly two are red and exactly two are green).
(c) Compute P(exactly two are red or exactly two are green).
(a) The probability that all four balls are red is
(Type an integer or a decimal. Round to two decimal places as needed.)
(b) The probability that there are exactly two red balls and exactly two green balls is
(Type an integer or a decimal. Round to two decimal places as needed.)
(c) The probability that there are exactly two red balls or exactly two green balls is
(Type an integer or a decimal. Round to two decimal places as needed.)

Answer:

64

Explination:

4 is the length of one side because 96/6(the ammount of faces)=16 and the square root of 16 is 4 and since the area of a cube is one side^3 this is the answer

Remember to mark brainliest

Answer:

9.22

Step-by-step explanation:

The calculation of z is shown below:-

Given that

2x-4y+4z-6w=4 .... (1)

6w-4x+4y-4z=-12 ..... (2)

6w+4x-2y+6z=64 ...... (3)

4z+2w+6y-4x=56 .... (4)

Here we need to decrease the equations with the help of canceling out a few variables.

Now we need to add equations 1 and 2 that is

(2x - 4x) + (-4y + 4y) + (4z - 4z) + (-6w + 6w) = 4 + 12

Now we solve the above equation

-2x + 0 = 16

-2x = 16

x = -8

Now, equation 2 minus 3

6w - 6w + (-4x - 4x) + 4y + 2y + (-4z - 6z) = 12 - 64

-8x + 6y - 10z = -52

Now we will put the value of x

-8(-8) + 6y - 10z = -52

64 + 6y - 10z = -52

6y - 10z  = -52 - 64

6y - 10z = -116

3y - 5z = -58 ... 5

Equation 3 × 1 and equation 4 × 3

6w + 4x - 2y + 6z = 64 ..... (3)

4z + 2w + 6y - 4x = 56 .... (4)

6w + 4x - 2y + 6z = 64

12z + 6w + 18y - 12x = 168

Now we will subtract both equations that are

16x - 20y - 6z = -104

8x - 10y - 3z = -52

8(-8) - 10y - 3z = -52

-64 - 10y - 3z = -52

-10y - 3z = -52 + 64

-10y - 3z = 12 ....... (6)

equating 5 and 6 and solving that is

3y - 5z = -58 ... 5 × 10

-10y - 3z = 12 ....... 6 × 3

30y - 50z = -580

-30y - 9z = 36

we will add both equation

-50z - 9z = -580 + 36

-59z = -544

z = -544 ÷ -59

After solving z value we will get

= 9.22

Answer:

[tex] LCM = 70a^2b [/tex]

Step-by-step explanation:

The LCM of [tex] 10a^2, 35ab, 14b [/tex], is the smallest expression of which each of the algebraic expression in the given set is divisible by it.

To find the LCM, follow these steps:

Step 1: Express each of the algebraic expressions in as product of its factors

[tex] 10a^2 = 2*5*a^2 [/tex]

[tex] 35ab = 5*7*a*b [/tex]

[tex] 14b = 2*7*b [/tex]

Step 2: Find the product of  each factors with the highest power

[tex] LCM = 2*5*7*a^2*b [/tex]

[tex] LCM = 70a^2b [/tex]

Answer:

49 -- No. 71 U.S. Naval Base, Guantanamo Bay, Cuba Wednesday, June 23, 1993 ... them while developing possible options for the future fo the Gen URL Community. ... The Independence Day from the fall of 1993 to the Throughout the day, after ... *MARS Station. ... Add 40 to original temperature (F or C, doesn't matter). 2.

Answer:

49 -- No. 71 U.S. Naval Base, Guantanamo Bay

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because A categorical variable can bexpressed as a number when statistical evaluation is intended, However, these numbers do not mean the same as a numerical value e.g giving numbers to waist sizes, test scores, grade level etc

Answer:

$8.40 tip and $56 bill = $64.40 (including tip)

Step-by-step explanation:

15% of 56 is 56*0.15 = 8.4 tip

Answer:

[tex]22.805 < \mu < 24.575\\[/tex]

Step-by-step explanation:

Given parameters

Z interval E = (23.305,25.075)

mean xbar = 23.69

number of samples n = 30

Required

we are to find the confidence interval for the Z interval given.

The formula for finding the confidence interval is expressed as shown below;

[tex]\overline x - E < \mu < \overline x + E[/tex] where;

xbar is the mean = 30

E is the margin of error

[tex]E = \frac{U-L}{2}[/tex]

U =  upper limit = 23.305

L = lower limit = 25.075

[tex]E = \frac{25.075-23.305}{2}\\E = \frac{1.77}{2}\\E = 0.885[/tex]

The confidence interval is therefore expressed as [tex]23.69 - 0.885 < \mu < 23.69+ 0.885\\22.805 < \mu < 24.575\\[/tex]

Hence the confidence interval is expressed as [tex]22.805 < \mu < 24.575\\[/tex]

Answer:

A square matrix is a matrix with the same number of rows and columns.

Step-by-step explanation:

In mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order. Any two square matrices of the same order can be added and multiplied. Square matrices are often used to represent simple linear transformations, such as shearing or rotation.

Answer:

P( 43 ≤ X ≤ 49) = 0.9545

Step-by-step explanation:

We are given mean of 46 and a standard deviation of 3

We want to find the percentage of daily phone calls numbering between 43 and 49. This can be written as;

P( 43 ≤ X ≤ 49)

Using the z-formula, we have;

z = (x - μ)/s

This transforms to;

P((43 - 46)/3)) ≤ Z ≤ ((49 - 46)/3))

This gives;

P(-2) ≤ Z ≤ P(2)

From z - table attached, P(-2) = 0.02275 and P(2) = 0.97725

Thus;

P( 43 ≤ X ≤ 49) = 0.97725 - 0.02275

P( 43 ≤ X ≤ 49) = 0.9545

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer: The total cost of the gas before it was split among the friends.

Explanation: If they split it equally, they divide. 3g is divided by 4 so you know that there are 4 friends/people.

Since they are splitting the [total] amount of gas for 4 people, 3g must be the total cost of the gas.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

c

Step-by-step explanation:

i took the quiz

Answer:

19.8

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

When we find the values of questions like this, we have to remember to use "PEMDAS".

Because multiplication comes before addition, we have to multiply first.

(Since there are two multiplication parts in the question, we start off by the first one.)

When we multiply both parts, we'll get:

[tex](18)+(8)[/tex], which equals to 26.

So, your answer is 26.

Answer:

6+2=8

3×2+2=

6+2=8

good luck

Answer:

53/82

Step-by-step explanation:

Answer:

13/41 + 27/82

We reduce to the same denominator.

The common denominator is 82

=(13×2)/(41×2) + 27/82

= 26/82 + 27/82

to calculate the sum of two fractions that have the same denominator, just add the numerators between them .

= 53/82

Answer:

$1060

Step-by-step explanation:

as the average amount of DVD and digital camera is $925 so the television cost:

$1985-$925

=$1060

Answer:

Amount of fabric left = 1 ft

Step-by-step explanation:

Given:

Amount of fabric Marlene had = 7 ft

Amount of fabric Marlene used = 6 ft

Find:

Amount of fabric left

Computation:

Amount of fabric left = Amount of fabric Marlene had  - Amount of fabric Marlene used

Amount of fabric left = 7 ft - 6 ft

Amount of fabric left = 1 ft

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 19}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 3 = 12x - 5(2x - 7)}[/tex]

Distribute 5 through the parentheses

⇒[tex] \sf{ - 3 = 12x - 10x + 35} [/tex]

Collect like terms

⇒[tex] \sf{ - 3 = 2x + 35}[/tex]

Swap the sides of the equation

⇒[tex] \sf{2x + 35 = - 3}[/tex]

Move 45 to right hand side and change it's sign

⇒[tex] \sf{2x = - 3 - 35}[/tex]

Calculate

⇒[tex] \sf{2x = - 38}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2x}{2} = \frac{ - 38}{2} }[/tex]

Calculate

⇒[tex] \sf{x = - 19}[/tex]

Hope I helped!

Best regards!!

Answer:

17     34

24    58

31     89

38    127

45    172

52    224

59    283

62    345

69    414

76    490

83    573

Step-by-step explanation:

Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)

Then at the final answer you add the results to total pushups you get 573.

There is a faster way to do this using a formula, but probably will go over your head.

Answer:

Hey there!

There aren't any options, but the correct answer would be 2 6/8, which simplifies to 2 3/4.

Let me know if this helps :)

22/8

8 goes into 22 twice:

8 x 2 = 16

22-16 = 6

22/8 = 2 6/8

6/8 can reduce to 3/4

22/8 = 2 3/4

Answer:

x=1

x=-6

Step-by-step explanation:

I used my ti-84 plus ce calculator and that is the answer I got

>download quadsolv

>prgm

>quadsolv

>enter the equation

>solve

Answer:

= (x + 6) (x - 8)

Step-by-step explanation:

x² - 2x - 48

break the expression into groups:

= (x² + 6x) + (-8x - 48)

= x (x + 6) - 8(x + 6)

= (x + 6) (x - 8)

Answer:

  2^7 × 5^5

Step-by-step explanation:

10 = 2×5, so your product is ...

  5^3 × 2^5 × (2×5)^2

  = 5^3 × 2^5 ×2^2 ×5^2

  = 2^7 × 5^5

_____

If you remember that the exponent tells you how many times the base is a factor of the product, you should have no trouble with this.

  5^3 × 2^5 × 10^2 = (5·5·5)(2·2·2·2·2)(2·5)(2·5) = 2^7 × 5^5

Answer:

y + 5 = (-13/4)(x - 3)

Step-by-step explanation:

Going from (-1, 8) to (3, -5), x (the 'run') increases by 4 and y (the 'rise') decreases by 13.  Thus, the slope of the desired line is m = rise / run = -13/4.

The point-slope formula is

y - k = m(x - h), and here m = -13/4, k = -5 and h = 3:

y + 5 = (-13/4)(x - 3)

Answer: C

Step-by-step explanation:

Excluding men under 30 from the selection process of the survey makes it bias because all mean  50 or younger are supposed to be included.

Step-by-step explanation:

One side of a triangle is 9 cm and other side is 37 cm. We need to find what could be the length of the third side of the triangle.

If we add one and other side i.e. 9 cm + 37 cm = 46 cm

If we subtract one and other side i.e. 37 cm - 9 cm = 28 cm

We know that, the length of the third side must be less than the sum of the other two sides and greater than the difference between the other two sides.

Thus, the third side could be between 46 cm and 28 cm.

Answer:

u have to use cos san and tan?

i think sorry if im wrong

Step-by-step explanation:

Answer:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

Step-by-step explanation:

(t•s )(x) is the product of functions s and t:

(t•s )(x) = ( 4x^2 - x + 3)(x - 7).  Applying the Distributive Property of Multiplication, we get:

(t•s )(x) = 4x^3 - 28x^2 - x^2 + 7x + 3x - 21

which needs to be simplified by combining like terms:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

Answer:

[tex] x = 10 [/tex]

m<CQF = 32°

m<AQE = 32°

Step-by-step explanation:

m<CQB = m<CQA = 90° (right angle)

m<CQB = m<CQF + m<FQB

m<CQF = 3x + 2

m<FQB = 58°

Therefore,

[tex] 90 = 3x + 2 + 58 [/tex]

Solve for x:

[tex] 90 = 3x + 60 [/tex]

[tex] 90 - 60 = 3x + 60 - 60 [/tex]

[tex] 30 = 3x [/tex]

[tex] \frac{30}{3} = \frac{3x}{3} [/tex]

[tex] 10 = x [/tex]

[tex] x = 10 [/tex]

m<CQF = 3x + 2

Plug in the value of x to find m<CQF

m<CQF = 3(10) + 2 = 30 + 2

m<CQF = 32°

m<CQF and m<AQE are vertical opposite angles, therefore, they are congruent.

Thus,

m<AQE = 32°

Answer:

x = 10

m∠CQF = 32

m∠AQE = 58

Step-by-step explanation:

Answer:

Intercept  - 1

Slope - 3

Step-by-step explanation:

in y=mx+b

m is the slope and b is the y intercept

Answer:

Step-by-step explanation:

Probability is defined as the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

probability = n{E}/n{S}

n(E) is the total number of events

n{S} is the total number of sample space.

For a coin that is tossed 3times, the possible outcome are:

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

The total number of sample space is n(S) = 2³ = 8

n{S} = 8

a) probability of getting two heads.

Events E = {HHH, HHT, HTH, THH}

n(E) = 4

Pr(getting two heads) = 4/8 = 1/2

b) probability of getting one head.

Events E = {HTT, THT, TTH}

n(E) = 3

Pr(getting one head) = 3/8

c) probability of getting at least one head means probability of getting 1 head and more but not less than a head.

Events E = {HHH, HHT, HTH, HTT, THH, THT, TTH}

n(E) = 7

Pr(getting at least one head) = 7/8

d) probability of getting at least two heads means probability of getting 2 head and more but not less than 2 head.

Events E = {HHH, HHT, HTH, THH}

n(E) = 4

Pr(getting at least two head) = 4/8 = 1/2

Find the tree diagram in the attachment below.

Answer:

The value of [tex]x(y-z)^2[/tex] is -16.

Step-by-step explanation:

We need to evaluate [tex]x(y-z)^2[/tex] for x = -1, y = 5 and let us assume that z = 1

It can be simply done by putting the values of x,y and z in the given expression.

[tex]x(y-z)^2=(-1)(5-1)^2\\\\=-1(4)^2[/tex]

We know that the value of 4² = 16

So,

[tex]x(y-z)^2=16\times -1\\\\=-16[/tex]

So, the value of [tex]x(y-z)^2[/tex] is -16.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 2 \:  ,  \: 1 \:  ,  \: 3 \: }}}}}[/tex]

Step-by-step explanation:

Given,

A = { ( 2 , 3 ) , ( 5 , 1 ) , ( -3 , -2 ) , ( 0 , 3 )

To find : Range

Range are set of all y - co-odinates.

So, Range = { - 2 , 1 , 3 }

Hope I helped!

Best regards!!

Answer:

(-2,1,3)

Step-by-step explanation:

ODY 2022