Please I need help 20 POINTS!
The question States: come up with a story problem that matches the above representations. (There all apart of the same problem)

Answer:

x=2

Step-by-step explanation:

first, let's distribute.

3(x+1)-2=x+5

3x+3-2=x+5

then, let's combine like terms.

3x+1=x+5

now, we subtract x on both sides.

2x+1=5

subtract 1 on both sides.

2x=4

divide by 2 on both sides.

x=2

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable X can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable X thus follows a Poisson distribution with parameter, λ = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, [tex]X\sim N(250, 250)[/tex]

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

[tex]P(235<X<265)=P(\frac{235-250}{15.8114}<\frac{X-\mu}{\sigma}<\frac{265-250}{15.8114})[/tex]

                             [tex]=P(-0.95<Z<0.95)\\=P(Z<0.95)-P(Z<-0.95)\\=P(Z<0.95)-[1-P(Z<0.95)]\\=2P(Z<0.95)-1\\=(2\times 0.82894)-1\\=0.65788\\\approx 0.6579[/tex]

Thus, the value of P (235 < X < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{5}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{5}})[/tex]

                             [tex]=P(-0.28<Z<0.28)\\=P(Z<0.28)-P(Z<-0.28)\\=P(Z<0.28)-[1-P(Z<0.28)]\\=2P(Z<0.28)-1\\=(2\times 0.64803)-1\\=0.29606\\\approx 0.2961[/tex]

Thus, the value of [tex]P(48<\bar X<52)=0.2961[/tex].

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{10}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{10}})[/tex]

                             [tex]=P(-0.40<Z<0.40)\\=P(Z<0.40)-P(Z<-0.40)\\=P(Z<0.40)-[1-P(Z<0.40)]\\=2P(Z<0.40)-1\\=(2\times 0.65542)-1\\=0.31084\\\approx 0.3108[/tex]

Thus, the value of [tex]P(48<\bar X<52)=0.3108[/tex].

(d)

Let the sample size be n.

[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{n}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{n}})[/tex]

                             [tex]0.95=P(-z<Z<z)\\0.95=P(Z<z)-P(Z<-z)\\0.95=P(Z<z)-[1-P(Z<z)]\\0.95=2P(Z<z)-1\\P(Z<z)=\frac{1.95}{2}\\\\P(Z<z)=0.975[/tex]

The value of z for this probability is,

z = 1.96

Compute the value of n as follows:

[tex]z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241[/tex]

Thus, the sample selected must be of size 240.

Answer:

b

Step-by-step explanation:

the point-slope form of the equation is equal to

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is

[tex]y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4[/tex]

We have the final answer as

[tex]y = - \frac{2}{5} x - 2 \\ [/tex]

Hope this helps you

Answer:

9.34088235

Step-by-step explanation:

Divide  317.59  by  34 .

Answer:

The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.

Step-by-step explanation:

hope this helped ✨

Answer:

Step-by-step explanation:

We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.

Let R(x) = 300x-2x²

C(x) = 5000+4x

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 300-2x - (5000+4x)

Expand

P(x) = 300-2x-5000 - 4x

Rearrange:

P(x) = -2x+300-4x  - 5000

P(x) = -6x- 4700

The profit function is P(x) = -6x-4700

For  the company to break even, R(x) = C(x)

300-2x = 5000+4x

300-5000 = 4x+2x

6x = -4700

x = -4700/6

x = -783 units

Note that the functions are assumed. Use this concept to solve your real question

If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.

Here, We can assume revenue and expenses.

Let R(x) = 300x - 2x²

C(x) = 5000 + 4x

It is the difference between the total revenue and the total expenses.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 300-2x - (5000+4x)

Expand

P(x) = 300-2x-5000 - 4x

P(x) = -2x + 300 - 4x  - 5000

P(x) = -6x- 4700

The profit function is P(x) = -6x-4700

For  the company to break even, R(x) = C(x)

300-2x = 5000+4x

300-5000 = 4x+2x

6x = -4700

x = -4700/6

x = -783 units

Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.

Learn more about revenue profit here:

https://brainly.com/question/13128315

Answer:

A = x^2 + 5x - 14

Step-by-step explanation:

A = L × W

A = (x+7) × (x-2)

A = x^2 + 7x - 2x - 14

Answer:

Step-by-step explanation:

320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour

Their GCF is 6 and the sum is 66

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the over all total equals 200 and you can not subtract the 2 variables to get the total you have to add them

Answer:

10x+23 (pretty sure) and the * means multiply

Step-by-step explanation:

[tex]12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23[/tex]

Answer:

100 is a cool number

Step-by-step explanation:

i also ate a rock

Answer:

C

Step-by-step explanation:

The points in C, when graphed, have a positive slope as well as going up or down by the same amount each time

-3-2=-5-2=-7

5-2=3-2=1

Answer:

60.15 km

Step-by-step explanation:

If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation

6 km -> 4 mi

x km -> 40.1 mi

Where x km is the length on the map we're looking for. If we cross multiply

6 * 40.1 = 4x

240.6 = 4x

x = 240.6/4

x = 60.15 km.

That is the length we're looking for

Answer:

4, 11

Step-by-step explanation:

The lowest y value is 0, the highest value is 11

Answer: 7/38

Step-by-step explanation:

So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)

Hope this helps!

Answer:

The difference is [tex]p= 0.045[/tex]

Step-by-step explanation:

From the question we are told that

The proportion unemployment rate for high graduated is [tex] p_1 = 0.097[/tex]

The proportion unemployment rate for college graduate is [tex] p_2 = 0.052[/tex]

Generally the difference in proportions of those unemployed between these two groups is mathematically represented as

[tex]p= p_1 - p_2[/tex]

=> [tex]p= 0.097- 0.052[/tex]

=> [tex]p= 0.045[/tex]

Answer:

10

Step-by-step explanation:

its 5+5

Answer:

The third one

Step-by-step explanation:

Answer:

Hey mate......

Step-by-step explanation:

The third option is the correct one....

hope it helps,

mark me as the brainliest.....

follow me.....

Answer:

7 and. 10 uvbuv7cycyyccu xxx yxr x rxytscc6vucc ttyl j

Answer and explanation:

42. Statistic :A fitness center is interested in the mean amount of time a client exercises in the center each week

Statistic:the mean amount of time is an example of a statistic

Population:

43. Parameter :Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.

Parameter: this is a number or measurable quantity that sets a condition, boundary or limit or scope such as the age in which children start snowboarding

You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even. If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.

In all other cases, the function is "neither even nor odd".

Let's see what this looks like in action:

Determine algebraically whether f (x) = –3x2 + 4 is even, odd, or neither.

If I graph this, I will see that this is "symmetric about the y-axis"; in other words, whatever the graph is doing on one side of the y-axis is mirrored on the other side:

graph of y = –3x^2 + 4

This mirroring about the y-axis is a hallmark of even functions.

Also, I note that the exponents on all of the terms are even — the exponent on the constant term being zero: 4x0 = 4 × 1 = 4. These are helpful clues that strongly suggest to me that I've got an even function here.

But the question asks me to make the determination algebraically, which means that I need to do the algebra.

So I'll plug –x in for x, and simplify:

f (–x) = –3(–x)2 + 4

= –3(x2) + 4

= –3x2 + 4

I can see, by comparing the original function with my final result above, that I've got a match, which means that:

f (x) is even

Answer:

[tex]y = \frac{1}{4}x - 5[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-5 - (-4)) / (0 - 4)

   = -1 / -4

   = 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

[tex]-5 = \frac{1}{4}(0) + b[/tex]

b = -5

Now use the above slope and y intercept to create equation of a line:

[tex]y = \frac{1}{4}x - 5[/tex]

Answer:

5.12 x 10 -6

Step-by-step explanation: I’m pretty sure

Answer:

The maximum number of guests for $780 would be 26.

Step-by-step explanation:

Write and solve an equation of ratios.  In the first column write $630/$780; in the right column write 21/x:

 630         21

---------- = -------

  780         x

Cross-multiplying, we get 630x = 21(780), which yields x = 26.

The maximum number of guests for $780 would be 26.

Answer:

an individual who invested in the market in 2006  has yet to regain the losses incurred in 2008

Step-by-step explanation: