Finding the limit on Mathematica. How do I type this in Mathematica?

Answer:

50/7

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x+2x+x=50

Step 1: Simplify both sides of the equation.

4x+2x+x=50

(4x+2x+x)=50(Combine Like Terms)

7x=50

7x=50

Answer:

50/7

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x+2x+x=50

Step 1: Simplify both sides of the equation.

4x+2x+x=50

(4x+2x+x)=50(Combine Like Terms)

7x=50

7x=50

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence, since [tex]q = 1, p = 0.55[/tex]:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex], hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence, since [tex]n = 5, p = 0.55[/tex]:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

Answer:

its 1

Step-by-step explanation:

it literly says it on the grid and its really simple

Answer:0.5580

Step-by-step explanation:

Answer:

2  ,   3

Step-by-step explanation:

Answer:

Step-by-step explanation:

If square is split into two from diagonal then it forms two right angled triangles which are congruent.

Therefore we can use Pythagoras theorem as we know side

d^2=6^2+6^2

d=√72

d=6√2

d=8.485 inches

Method 2:

Using formula

d=s√2

d=6√2

d=8.485 inches

You can find length of diagonal of any square if you know the length of side using formula.

d=s√2

Where s is length of side

9514 1404 393

Answer:

  B)  $3,622.50

Step-by-step explanation:

To find the tax, multiply the income by the tax rate:

  $51,750 × 0.07 = $3,622.50

Answer:

X = 81.20º

Step-by-step explanation:

sinX = opp/hyp

sinX = 84/85

X = arcsin(84/85)

use calculator

X = 81.20º

Could be -24 if you are raising the -30 by 6.

Answer:

1. 6²=36

2. 289[tex]\frac{1}{2}[/tex] = 17

3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]

4. 10³=1000

5. [tex]5^{4}[/tex]=625

Step-by-step explanation:

Answer:

1. 6² = 36

2. 289^1/2 = 17

3. 14^-2 = 1/196

4. 10³ = 1000

5. 5⁴ = 625

Step-by-step explanation:

I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").

Answer:

1. 6 2. 10 3. 5

for others see below

Step-by-step explanation:

1. 6 feet

2. 10 holes

3. 5 papers

1./-3/3=3*3=9

2. /3/3=3*3=9

3./-2/=2

4./-6/=6

5./9/=9

6. /-15/=15

7. /-32/=32

8. /32/=32

9. /-47/=47

10. /78/=78

Answer:

Step-by-step explanation:

According to given we have (x, y) pairs:

Work out the equation of the line.

Find the slope:

Find the y- intercept using one pair of coordinates:

The line is:

Find the value of y when x = 14 and x = 15:

Answer:

[tex]\sf k + 6 > -37[/tex]

[tex]\sf k+6-6>-37-6[/tex]

[tex]\boxed{\sf k>-43}[/tex]

Answer:

Subtract 6 from both sides:

K +6 - 6 > - 37 - 6

Simplify the arithmetic:

k > - 37 - 6

Simplify the arithmetic

k > - 43

Answers:

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

Explanation:

Basically, statements 3 and 4 are nearly identical. They both use the exact same reasoning. For statement 3, the parallel lines are QT and RS, with QR being the transversal. Refer to the same side interior angles theorem. It's also known as the consecutive interior angles theorem.

-------------

For statement 5, consider the idea that if

Q+R = 180

Q+T = 180

then those two equations lead to T = R. Both angles T and R are supplementary to angle Q, so they must be the same angle. So that's why we go with the "angles that are supplementary to the same angle are congruent" option for this part.

Answer:

almonds are worth 50 cents per ounce

peanuts are worth 25 cents per ounce

almonds are worth more per ounce

Step-by-step explanation:

I just divided 50 cents by 2 to get the cost per ounce of the peanuts, and I plugged 1 into the x in the equation that was given for almonds

Answer:

Almonds=50 cents per ounce

peanuts are 25 cents per ounce

Answer:

y = 5/3x - 3 and y = 1/2x - 10

Step-by-step explanation:

A. -5x + 3y = -9

In order to go from standard to slope-intercept form, we want to isolate y on the left side.  We start by adding 5x to both sides:

3y = -9 + 5x

Next, we divide both sides by 3:

y = (-9 + 5x)/3

And then distribute:

y = -9/3 + 5x/3

And finally simplify:

[tex]y = -3 + \frac{5}{3}x[/tex]

And move the numbers on the right to fit the form y = mx + b:

[tex]y = \frac{5}{3}x-3[/tex]

B. -x + 2y = -20

In order to go from standard to slope-intercept form, we want to isolate y on the left side.  We start by adding x to both sides:

2y = -20 + x

Next, we divide both sides by 2:

y = (-20 + x)/2

And then distribute:

y = -20/2 + x/2

And finally simplify:

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

And move the numbers on the right to fit the form y = mx + b:

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

Answer:

x<5

Step-by-step explanation:

cuz im a methnerd l

Answer:X>5

Step-by-step explanation:

1)

Check the 1st picture below.

the arrows at the end of the lines are stating that the lines are continuing indefinetely, or namely to infinity, the lines go to infinity upwardly as well as sideways.

3)

Check the 2nd picture below.

the graph has a hole when x = 6 for the domain, meaning it doesn't include that point, but includes any values before it down to -5 and including -5.

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh;

Step-by-step explanation:

(24cm + 14cm + 25cm) 10 + 2 × 14

hope this help pls mark me Branliest

~fractions

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

5/6

= 5 ÷ 6

= 0,83333333333

rounded to

= 0,833 ✔️

~ nice to help you ^^

Answer:

⅚ = ...

= 5 ÷ 6

[tex] \approx \bold{0.833}[/tex]

The probability of winning the minimum award is very small, approximately 1 in 185 million.

To calculate the probability of winning the minimum award, we need to determine the number of possible outcomes and the number of favorable outcomes.

To win the minimum award, the player needs to match two of the white ball numbers and the gold ball number.

There are (4 choose 2) ways to choose two of the four white ball numbers, and there is only one way to choose the gold ball number. Therefore, the number of favorable outcomes is (4 choose 2) × 1.

So, the probability of winning the minimum award is:

(favorable outcomes) / (total outcomes)

= [(4 choose 2) × 1] / [(52 choose 4) × 41]

= (6 × 1) / (26,827,440 × 41)

= 6 / 1,100,701,040

≈ 0.0000000054 or 5.4 × 10⁻⁹

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

Answer:

Step-by-step explanation:

Multiply the length and width, or c and b to find their area. Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Answer:

x = 8.5

Step-by-step explanation:

2x+3=20

2x = 17...........subtract 3 from both sides

x = 8.5............divide both sides by 2

Answer:

i will clear you.

Step-by-step explanation:

Given:-

Marbels we have =30

when we add marbels =5

Now,

or,30+5

Answer:

Option "C" none of these is the correct answer.

Step-by-step explanation:

The subset of the set {7, 8, 9} must have the elements of this set only.

Hope this helps :)

Answer:

B

Step-by-step explanation:

<STR = <SRT                      Given the markings of the triangle

<STR + <STU = 180            Supplementary angles

(2x - 9) + 7x = 180               Remove the brackets

2x - 9 + 7x = 180                 Combine

9x - 9 = 180                         Add 9 to both sides

9x = 180 + 9                        Combine

9x = 189                              Divide by 9

9x/9 = 189/9

x = 21

[tex]\\ \sf\longmapsto 3x-9y> 27[/tex]

[tex]\\ \sf\longmapsto x-3y>9---(1)[/tex]

And

[tex]\\ \sf\longmapsto y-3\leqslant -4/3(x+7)[/tex]

[tex]\\ \sf\longmapsto 3y-9\leqslant -4x+28[/tex]

[tex]\\ \sf\longmapsto 3y+4x\leqslant 37--(2)[/tex]

Graph attached