A binomial experiment has 4 trials in which p = 0.4. What is the probability of 3 successes?

[tex]7(2p+4)-2(p-5)=14p+28-2p+10=12p+38[/tex]

Answer:

12p+38

Step-by-step explanation:

Expand the brackets and simplify :

14p+28 -2p+10 (-2×-5=+10 as the product of 2 negatives is always positive)

12p+38

This is our final answer as 12 and 38 are integers

Hope this helped and brainliest please

Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

Answer: x = 0; x=10

Step-by-step explanation:

[tex]\frac{x+2}{x-4} *\frac{3x}{x+4}\\ \\x+2(x+4) = x-4(3x)\\x^{2} +2x+ 4x + 8 = 3x^{2} -12x\\2x+4x+12x =3x^{2} - x^{2} \\20x= 2x^{2} \\10x = x^2\\x=0\\x=10[/tex]

Hope this helps!

Step-by-step explanation:

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Step-by-step explanation:

the right answer is 1.714

Answer:

35

Step-by-step explanation:

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The ratio of their surface areas will be a²/b². And the ratio of their volumes a³/b³.

The size is the amount of space covered by a two-dimensional hard surface.

The volume of an element or compound is the sufficient space it takes up, calculated in cubic units.

1.  The ratio of the surface area of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their surface areas will be a²/b².

2.  The ratio of the volume of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their volumes a³/b³.

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Answer:

See below

Step-by-step explanation:

Here is how to start....you didn't include the equations in question, so I do not know what the answer may be

solve for x

y-10 = 5 x^2       divide thru by 5

(y-10)/5 = x^2       'sqrt' both sides

± sqrt( (y-10) / 5   = x        change   x's and y's

± sqrt ((x-10)/5)   = y

The risk versus return of the investments that Marc and Julian are considering are:

Money Market savings accounts are offered by commercial banks and are quite safe which is why they have low returns. The same is true of a Five year CD.

IRAs and Mutual funds are considered moderate because they offer higher rates than CDs but with higher risk as well.

Stock and high-yield bonds are quite risky but they have a chance of a high return as well.

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Answer:

96 cubic inches

Step-by-step explanation:

Volume=length*width*height

Your unknown is volume, which we can simplify as V.

Plugging in for the values of length, width, and height, we get [tex]v=8*3*4[/tex]

From there, we can simplify.

[tex]V=8*3*4\\V=24*4\\V=96[/tex]

To get the units, we know that the length, the width, and the height all are measured in inches.

[tex]V=inches*inches*inches\\V=inches^2*inches\\V=inches^3[/tex]

[tex]inches^3[/tex] can also be written as cubic inches, or inches cubed.

This gives you the answer of 96 cubic inches.

answer: 14.385

Add the numbers as if they were whole numbers.Place the decimal point in the sum  so that it lines up vertically with the numbers being added.

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The statement that verifies that quadrilateral WXYZ is a parallelogram is C)The opposite sides have the same slope.

This refers to a four-sided figure that is used in geometry and has parallel opposite sides.

Hence:

Remember that the opposite sides of a parallelogram are parallel.

We would solve:

Slope WX = 0

Slope XY= 5/2

Slope XZ= 0

Slope ZW= 5/2

The next step would be:

Slope WX= Slope YZ

Slope XY = Slope ZW

Based on the fact that the opposite sides have the same slopes, we can conclude that quadrilateral WXYZ is a parallelogram

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The value of the expression if x is equivalent to 12 is - 26

Given the expression

f(x) = 5/6(1/2x+6)-3x

If the value of x is 12, then;

f(12) = 5/6(1/2(12)+6)-3(12)

f(12) = 5/6(6+6) - 36

Simplify

f(12) = 5/6(12) - 36

f(12) = 10 - 36

f(12) = -26

Hence the value of the expression if x is equivalent to 12 is - 26

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Answer:

35280ways

Step-by-step explanation:

let X be the number of ways the letters can be arranged with no restriction,

let M be the number of ways they can be arranged if the letters C and O must stand together,

and let the number of ways the letters C and O can be arranged if they can not stand together.

X=8!

M= 7!

N=X–M=8!–7!=35280 ways

Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

Step-by-step explanation:

= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]

= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

This expression is simplified already

The car can travel 360 km with 24 liters of gasoline.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.

6.8 liters of gasoline = 102 km

1 liters of gasoline = 102 km/ 6.8

                               = 15

24 liters of gasoline = 24 x 15 = 360

Hence, The car can travel 360 km with 24 liters of gasoline.

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Answer:

The middle option on the top row

Step-by-step explanation:

Slope is calculated as rise/run between two points.

In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.

Similar triangles are triangles that has all sides and angles to be equal. The value of x if , ΔGEF and ΔHEF are congruent is 28

Similar triangles are triangles that has all sides and angles to be equal. From the given diagram;

<GFE = <EFH

Given

<GFE = 60 degrees

<EFH = 2(x+2)

Substitute

2(x+2) = 60
2x + 4 = 60

2x = 60 - 4

2x = 56

x = 28

Hence the value of x if , ΔGEF and ΔHEF are congruent is 28

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Answer:

The x-intercept is at (-3, 0).

Step-by-step explanation:

log 1 = 0, so the x intercept of y = log x is at (1, 0).

The + 4 in the parentheses moves the whole graph 4 units to the left.

Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.

Answer: -2(3x-5)

Step-by-step explanation: first you divide 72 and 8 then do the rest

The amount that Marcia will have saved in interest by consolidating the two balances is: b.$133.92.

First step

Calculating for credit card A monthly payment (12% APR) using financial calculator

=pmt(rate,nper,-pv,fv)

Where:

Rate=12%/12=1%

Nper =12 months×4 years=48

PV = $1,389.47

FV=0

Hence:

=pmt(1%,48,-1389.47,0)

=$ 36.59  

Second step

Monthly payments 16% APR=$39.38×48

Monthly payments 16% APR =$1890.24

Monthly payments  12% APR=$36.59×48

Monthly payment 12% APR=$1756.32

Third step

Amount saved in interest=$1890.24 -$1756.32

Amount saved in interest=$133.92

Therefore the correct option is B.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

7red marbles,3 blue marbles,4 green marbles

Answer:

V = 56,448 cm³

Step-by-step explanation:

the volume (V) is calculated as

V =Ah ( A is the area of the base and h the height )

here A = 2,352 and h = 24 , then

V = 2,352 × 24 = 56,448 cm³

Answer:

.

Step-by-step explanation:

Answer:

3,4 is the pair of numbers that have a sum of 7 and a difference of 1

Answer:

Step-by-step explanation:

Remark

x/(x+1) - 1/2 = -1 /(x + 1) is the equation to be solved. Add 1/(x + 1 to both sides

x/(x+1) + 1/(x+1) - 1/2 = -1/(x + 1) + 1/(x + 1)              Combine

x/(x+1) + 1/(x + 1) - 1/2 = 0                                      Combine x/(x+1) + 1/(x+1)

(x + 1)/(x + 1) - 1/2 = 0                                            Cancel (x+1)/(x+1) = 1

1 - 1/2 = 0                                                              No solution

Answer: No solution

Answer:

1/4

Step-by-step explanation:

[tex]\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }[/tex]

[tex]\text{which contains 52 cards. There are 13 diamonds in a pack.}[/tex]

[tex]\text{Probability of an event:}[/tex]

[tex]\text{ Number of favorable outcomes / Total number of outcomes}[/tex]

[tex]\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.[/tex]

[tex]\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}[/tex] .

Answer:

8

Step-by-step explanation:

step 1.
1,1,1,1,1,1,1,1 = 2 + 2 + 2 + 2 = 8

2 + 2 + 2 + 2 + 2 = 10

3 + 0 = 3

4 + 4 = 8

5 + 0 = 5

6 + 0 = 6

Step 2.

8 + 10 = 18

18 + 3 = 21

21 + 8 = 29

29 + 5 = 34

34 + 6 = 40

40/6 = 8

This is because if you added 6 + 6 eight times, you would get 40.