The line plot shows the different lengths of nails in your toolbox. If you take all the nails
that are less than 2 inches long and lay them end to end, how far will they reach?

Answer:

The fifth term of the binomial expansion

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

Step-by-step explanation:

Step:1

Given that the binomial expansion

     ( x² + y⁵ )⁸

we know that

[tex]T_{r+1} = n_{C_{r} } a^{r} x^{n-r}[/tex] ...(i)

Step:2

put r = 4  

[tex]T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}[/tex]

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

Final answer:-

The fifth term of the binomial expansion

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

Answer:

[tex]y=-\frac{2}{3}x+6[/tex]

Step-by-step explanation:

Let the equation of the line representing the given table is,

y = mx + b

Here, m = slope of the line

b = y-intercept

From the given table,

Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Therefore, slope of the line passing through (3, 4) and (4, [tex]\frac{10}{3}[/tex]) will be,

m = [tex]\frac{4-\frac{10}{3} }{3-4}[/tex]

   = [tex]\frac{\frac{12-10}{3}}{3-4}[/tex]

   = [tex]-\frac{2}{3}[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+b[/tex]

Since, this line passes through a point [tex](1, \frac{16}{3})[/tex],

By satisfying the equation with the given point,

[tex]\frac{16}{3}=-\frac{2}{3}(1)+b[/tex]

[tex]b=\frac{16}{3}+\frac{2}{3}[/tex]

[tex]b=\frac{18}{3}[/tex]

[tex]b=6[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+6[/tex]

The probability that a 6-digit locker combination, will be 1/180. Then the correct option is B.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The factor of n is given as the production of the number n, (n – 1), (n – 2)… and 1.

Then the factorial of n is given as

n! = n x (n – 1) x (n – 2) x … 3 x 2 x 1

A 6-digit locker that contains the digit will be 3, 5, 7, 3, 5, and 2.

Then the total number of combination without repetition will be given as,

Total events = 6! / (2! x 2!)

Total events = 6 x 5 x 4 x 3 x 2 x 1 / (2 x 1 x 2 x 1)

Total events = 6 x 5 x 3 x 2 x 1

Total events = 180

Then the favorable event will be

Favorable events = 1 {53-27-35]

Then the probability will be

P = (Favorable event) / (Total events)

P = 1/180

Then the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

[tex]r = 3[/tex] -- radius

[tex]h = 7[/tex] --- height

[tex]Rate = 14in^3/min[/tex]

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

This gives:

[tex]V = \frac{1}{3} * 3.14 * 3^2 * 7[/tex]

[tex]V = \frac{1}{3} * 197.82[/tex]

[tex]V = 65.94in^3[/tex]

To calculate the time, we make use of the following rate formula.

[tex]Rate = \frac{Volume}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Volume}{Rate }[/tex]

This gives:

[tex]Time= \frac{65.94in^3}{14in^3/min}[/tex]

[tex]Time= \frac{65.94in^3}{14in^3}min[/tex]

Cancel out the units

[tex]Time= \frac{65.94}{14} min[/tex]

[tex]Time= 4.71 min\\[/tex]

Answer:

The time it will take for all the liquid to pass through is 4.71 minutes.

-Don't worry it's been already verified by myself .

Answer:

A right triangle is always an isosceles triangle.An equilateral triangle is never an obtuse triangle.

Answer:

A right triangle is always an isosceles triangle.

Step-by-step explanation:

A. 2(3x-5)²

Step-by-step explanation:

18x² - 60x + 50

= 2 (9x² - 30x + 25 )  ⇒⇒⇒ take 2 as common from all terms

note: 9x² = 3x * 3x and 25 = 5*5 and

 3x * 5 *2 = 30x

so, this is a complete square

= 2(3x-5)(3x-5)

= 2(3x-5)²

Answer:

There are 64 pigs

Step-by-step explanation:

pigs: cows: total

16            2   16+2

16          2         18

There are 72 animals

72 /18 = 4

Multiply each number by 4

pigs: cows: total

16*4     2*4     18*4

64         8        72

There are 64 pigs

Answer:

35 words per minute

Step-by-step explanation:

210/6=35

Answer:

Remind me if i'm wrong, 2nd, 3rd, 5th are the right answers .

Answer:

(0,-7) is the y-intercept

Step-by-step explanation:

Answer:

2.04

Step-by-step explanation:

Equation: 6.05n=12.4=

Answer:

n = 6.35

Step-by-step explanation:

Okay, so this is a basic algebraic expression, so you'd set it up like:

n + 6.05 =  12.4

And now you have to do the inverse operations thing:

12.4 - 6.05 = 6.35‬

So, n = 6.35

hope this helps:)

Answer:

2 hours

Step-by-step explanation:

2,4,6,8,10,&12

1, 2,3, 4, 5, &6

Hope this helps :)

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

Answer:

y = 15°

∠A = 78°

∠B = 68°

∠BAC = 34°

Step-by-step explanation:

∠BAC = 180° - 146° = 34°

the sum of the interior angles of any triangle is 180°

5y + 3 + 4y + 8 + 34° = 180°

combine like terms:

9y + 45° = 180°

subtract 45° from each side of the equation:

9y = 135°

divide both sides by 9:

y = 15°

∠A = 5(15) + 3 = 78°

∠B = 4(15) + 8 = 68°

Answer:

1st Circle

Radius = 9

Diameter = 18

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52

2nd Circle

Radius = 14

Diameter = 28

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 14 = 87.92

:D

Answer:

3692.64 inches cubed.

Step-by-step explanation:

round this answer to the nearest tenth and that is your answer!

Answer:

XY=2 ON mid point theorem

so XY=8

yz=2 OM

so yz= 6

since o is the mid point

xz=2 OZ

so xz=10

perimeter =8+6+10

=24 cm is the answer

hope it helps..

Answer:

D. taking two marbles from a box without replacing the first marble are  dependent events

[tex]----------[/tex]

hope it helps

have a great day!!

Answer:

mMN=190°

Step-by-step explanation:

Let the centre of the circle be C

An angle at the circumference of a circle is half the angle at the centre standing on the same arc.

Therefore:

2(<MLN)=<MCN

<MCN=2(95)=190°

mMN=<MCN=190°

Answer:

2,400,000

Step-by-step explanation:

Answer:

b is correct center of circle is x=4 y=-2

radius = 3

The right answer is the second graph aka the one on the right

Answer:

The solution is:

The correct graph is the third one

(thicker segment between points -1 and 1 with open dots)

Answer:

[tex]P(1) = 0.23[/tex]

[tex]P(5) = 0.0809[/tex]

[tex]P(x\ge 2) = 0.471[/tex]

Step-by-step explanation:

Given

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

Solving (a): P(1)

This gives:

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(1) = 0.23 * 0.77^{1-1}[/tex]

[tex]P(1) = 0.23 * 0.77^0[/tex]

[tex]P(1) = 0.23 * 1[/tex]

[tex]P(1) = 0.23[/tex]

Solving (b): P(5)

This gives:

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(5) = 0.23 * 0.77^{5-1}[/tex]

[tex]P(5) = 0.23 * 0.77^{4}[/tex]

[tex]P(5) = 0.23 * 0.35153041[/tex]

[tex]P(5) = 0.0809[/tex]

Solving (c): [tex]P(x \ge 2)[/tex]

To do this, we make use of complement rule

[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]

[tex]P(x < 2)[/tex] is calculated as:

[tex]P(x < 2) = P(0) +P(1)[/tex]

Calculate P(0)

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(0) = 0.23 * 0.77^{0-1}[/tex]

[tex]P(0) = 0.23 * 0.77^{-1}[/tex]

[tex]P(0) = 0.299[/tex]

In (a):

[tex]P(1) = 0.23[/tex]

So:

[tex]P(x < 2) = P(0) +P(1)[/tex]

[tex]P(x < 2) = 0.299 + 0.23[/tex]

[tex]P(x < 2) = 0.529[/tex]

So:

[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]

[tex]P(x\ge 2) = 1 - 0.529[/tex]

[tex]P(x\ge 2) = 0.471[/tex]

Answer:

Bro wat

Step-by-step explanation:

Answer:

The representative sample contained more girls than boys.

The true representative sample:

The representative sample contained more girls than boys.

The correct option is C.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given:

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip.

A random sample of students is chosen.

Surveying the random sample produced a representative sample of the population.

The total number of students = 160

The number of girls = 95

The number of boys = 65

Clearly, the number of girls is more than the number of boys.

Therefore, the sample should contain more girls than boys.

To learn more about the sample space;

https://brainly.com/question/28043513

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Answer:

Hi! The answer to your question is Relation

Step-by-step explanation:

To be a function the x values can't repeat, since they do, its a relation

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Step-by-step explanation:

slope = -9

y - -4 = 9(x - 2)

y+ 4 = 9x -18

y = 9x - 22

Answer:

C. equilateral

Step-by-step explanation:

Since each of the angles of Triangle ABC have equivalent values (each are 60 degrees), each of the sides also must have equivalent values.

Thus, since all three sides are the same length, the triangle created is equilateral.

Have a nice day! ^-^