what is the output from the following machine when the input is 4

Answer:

[tex]P(210<X<290)=P(\frac{210-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{290-\mu}{\sigma})=P(\frac{210-202}{70}<Z<\frac{290-202}{70})=P(0.114<z<1.26)[/tex]

And we can find this probability with this difference

[tex]P(0.114<z<1.26)=P(z<1.26)-P(z<0.114)[/tex]

And we can find the difference with the normal standard distirbution or excel:

[tex]P(0.114<z<1.26)=P(z<1.26)-P(z<0.114)=0.896-0.545=0.351[/tex]

Step-by-step explanation:

Let X the random variable that represent the hotel room cost of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(202,70)[/tex]  

Where [tex]\mu=202[/tex] and [tex]\sigma=70[/tex]

We are interested on this probability

[tex]P(210<X<290)[/tex]

The z score formula is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using the formula we got:

[tex]P(210<X<290)=P(\frac{210-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{290-\mu}{\sigma})=P(\frac{210-202}{70}<Z<\frac{290-202}{70})=P(0.114<z<1.26)[/tex]

And we can find this probability with this difference

[tex]P(0.114<z<1.26)=P(z<1.26)-P(z<0.114)[/tex]

And we can find the difference with the normal standard distirbution or excel:

[tex]P(0.114<z<1.26)=P(z<1.26)-P(z<0.114)=0.896-0.545=0.351[/tex]

Answer:

Omar can put together 6 outfits.

66.67% probability of Omar’s outfits including a red T-shirt or red shorts

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

-How many different outfits can Omar put together?

For each t-shirt, that are two options of shorts.

There are 3 t-shirts.

3*2 = 6

Omar can put together 6 outfits.

What is the probability of Omar’s outfits including a red T-shirt or red shorts?

Red t-shirt and red shorts

Red t-shirt and black shorts

Green shirt and red shorts

Yellow shirt and red shorts

4 desired outcomes.

4/6 = 0.6667

66.67% probability of Omar’s outfits including a red T-shirt or red shorts

Answer:

2

Step-by-step explanation:

Answer: y = 11 - x / -6

Step-by-step explanation:

X - 6y = 11

Since we are solving for y, we need to isolate the variable.

Move x to the other side of the equation.

- 6y = 11 - x

Now divide bith sides by -6 to cancel out -6y and get the variable y

-6y/ -6 = 11 - x/ -6

y = 11 - x / -6

Im not sure if it was solving for y, or if it was solve for x if y = 11

Answer:

LIFE: Your life purpose consists of the central motivating aims of your life—the reasons you get up in the morning. Purpose can guide life decisions, influence behavior, shape goals, offer a sense of direction, and create meaning. For some people, purpose is connected to vocation—meaningful, satisfying work. Also always be your self (:

Corona: I think corona depending on were you live will stop next year when they find a treatment for it.

Hope this helped!

Answer:

Your life is the most important thing. It shouldn't be worth 1 million dollars, or even 1 billion dollars, because it's worth everything.  

Corona can't really stop. It's a matter of the government to try to contain the virus, so it won't spread even further. I think the right time to reopen the economy is when we find a vaccine. But of course, places all over the U.S. are already reopening which will cause a spike in cases, therefore making our "self-isolation" even longer.

Answer:

  24.2

Step-by-step explanation:

You are given the hypotenuse and angle, and you want to find the length of the adjacent side.

The mnemonic SOH CAH TOA reminds you that the relation between angle and sides is ...

  Cos = Adjacent/Hypotenuse

  cos(41°) = x/32

  x = 32·cos(41°)

  x ≈ 24.2

Answer:

4.8

Step-by-step explanation:

simple interest=Principal ×time×rate ÷100

=24×4×5÷100

=4.8

Answer:

It can produce 1590 loaves of bread per day.

Step-by-step explanation:

Given that the bread machine operates only 10 hours per day. So in order to calculate how many loaves can be produce a day, you have to multiply it by 10 :

[tex]1hour = 159loaves[/tex]

[tex]10hours = 159 \times 10[/tex]

[tex]10hours = 1590loaves[/tex]

Answer:

Step-by-step explanation:

2(f^4)^2/8(f^12)

2/8= 1/4

f^16/f^12

f^(16-12)= f^4

f^4/4 is the solution

Step-by-step explanation:

multiple 6 by 9 then 2 by 5 then subtract them

Answer:

44

Step-by-step explanation:

(6*9) - (2*5)

54 - 10

44

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Listed below are head injury measurements from small cars that were tested in crashes. The measurements are in​ "hic," which is a measurement of a standard​ "head injury​ criterion," (lower ​ "hic" values correspond to safer​ cars). The listed values correspond to cars​ A, B,​ C, D,​ E, F, and​ G, respectively.

514 541 302 400 507 406 369

Find the

a.​ mean,

b.​ median,

c.​ midrange,

d. mode for the data.

Also complete parts e. and f.

e. Which car appears to be the safest?

f. Based on these limited results, do small cars appear to have about the same risk of head injury in a crash?

Answer:

a) Mean = 434.14

b) Median = 406

c) Midrange = 421.5

d) Mode = 0

e) Car C appears to be the safest

f) The small cars does not appear to have about the same risk of head injury in a crash.

Step-by-step explanation:

We are given the head injury measurements from small cars that were tested in crashes.

The measurements are in​ "hic," which is a measurement of a standard​ "head injury​ criterion.

The listed values are;

A = 514

B = 541

​C = 302

D = 400

​E = 507

F = 406

G = 369

a)​ Mean

The mean of the measurements is given by

Mean = Sum of measurements/ Number of measurements

Mean = (514 + 541 + 302 + 400 + 507 + 406 + 369)/7

Mean = 3039/7

Mean = 434.14

b)​ Median

Arrange the measurements in ascending order (low to high)

302, 369, 400, 406, 507, 514, 541

The median is given by

Median = (n + 1)/2

Median = (7 + 1)/2

Median = 8/2

Median = 4th

Therefore, the 4th measurement is the median that is 406

Median = 406

c)​ Mid-range

The midrange is given by

Midrange = (Max + Min)/2

The maximum measurement in the data set is 541

The minimum measurement in the data set is 302

Midrange = (541 + 302)/2

Midrange = 843/2

Midrange = 421.5

d)​ Mode for the data

The mode of the data set is the most repeated measurement.

302, 369, 400, 406, 507, 514, 541

In the given data set we don't have any repeated measurement therefore, there is no mode or we can say the mode of this data set is 0.

Mode = 0

e) Which car appears to be the safest?

Since we are given that the measurements are in​ "hic," which is a measurement of a standard​ "head injury​ criterion," (lower ​ "hic" values correspond to safer​ cars)

The lowest hic value corresponds to car C that is 302

Therefore, car C appears to be the safest among other cars.

f) Based on these limited results, do small cars appear to have about the same risk of head injury in a crash?

302, 369, 400, 406, 507, 514, 541

As you can notice, the hic values differ a lot from each other therefore, we can conclude that the small cars does not appear to have about the same risk of head injury in a crash.

Mark all of the values that are between 61 and 80. See the diagram below. You should mark exactly 6 values.

Answer:

C. Parameter since the data set of all 14 teams is a population.

Explanation:

Find the attachment

Answer:

The number of weeks it will take for the  beetle population to reach 236 is 28.75.

Step-by-step explanation:

If a quantity starts at size P₀ and grows by d every time period, then the

quantity after n time periods can be determined using explicit form:

[tex]P_{n} = P_{0} + d \cdot n[/tex]

Here,

d = the common difference, i.e. the amount  that the population changes each time n is increased by 1.

In this case it is provided that the original population of beetle was:

P₀ = 6; (week 0)

And the population after 8 weeks was,

P₈ = 86

Compute the value of d as follows:

[tex]P_{8} = P_{0} + d \cdot 8\\86=6+8d\\86-6=8d\\80=8d\\d=10[/tex]

Thus, the explicit formula for the beetle population after n weeks is:

[tex]P_{n}=P_{0}+8n[/tex]

Compute the number of weeks it will take for the  beetle population to reach 236 as follows:

[tex]P_{n}=P_{0}+8n\\\\236=6+8n\\\\8n=236-6\\\\8n=230\\\\n=28.75[/tex]

Thus, the number of weeks it will take for the  beetle population to reach 236 is 28.75.

Answer:

113 feet

Step-by-step explanation:

Use the ratio 1:50 to calculate the height of the tower.

The scale model height is 2.25 feet, so multiply that by 50

2.25 x 50 = 112.5

Round to 113 feet

Answer:

D. 113 feet

Step-by-step explanation:

We know that Josephine made a smaller model that is one-fiftieth the size of the real model. That means the height of the real model is fifty times as big as this model. All we need to do to find the height of the real thing is to multiply 50 and 2.25. (50) 2.25 = 112.5. That will round to 113 feet, which is the height of the new water tower.

Hope this helps ^-^

Answer:

Step-by-step explanation:

Area of rectangle = l × b

= 23 × 6

= 138 feet

hope this helps

plz mark it as brainliest!!!!!!!

Answer:

1: Glide

2: Reflection

3: Reflection

Step-by-step explanation:

1): The first one is glide because you are just moving the triangle and not changing anything to the angle and the size.

2): The second one is a reflection because you are reflecting across an invisable line. Basicly think of it as a mirror. In the picture below, you can see the line of reflection.

3): The third one is also a reflection for the same reason as the second, (view attached image below for line of reflection.

Answer:

[tex]z^{0.5}[/tex]

Step-by-step explanation:

So first simplify inside:

[tex]z^4z^{-1.5}=z^{2.5}[/tex]

Now divide that by 5:

[tex]z^{0.5}[/tex]

Answer:

a) The Expectation of the Population  to grow in the next year

                         = 3069

b) The Expectation of the Population decrease in the next year

                         = 12,467

Step-by-step explanation:

Explanation:-

a)

The population of Boom town is currently 3000

Given expected to grow by 2.3 % over the  next year

                  = [tex]3000 X \frac{2.3}{100} = 69[/tex]

                  = 69

The Expectation of the Population growth in the next year

                         = 3000 +69 = 3069

b)

The population of town is currently 13000

Given expected to grow by 4.1 % over the  next year

                  = [tex]13000 X \frac{4.1}{100} = 533[/tex]

The Expectation of the Population decrease  in the next year

                         = 13000 - 533 = 12,467

Answer:

c.(x+1)^2=10

Step-by-step explanation:

Completing the square:

We use the following relation:

[tex](x + a)^{2} = x^{2} + 2ax + a^{2}[/tex]

In this question:

[tex](x + a)^{2} = x^{2} + 2ax + a^{2} = x^{2} + 2x + a^{2}[/tex]

We have to find a.

[tex]2a = 2[/tex]

[tex]a = \frac{2}{2}[/tex]

[tex]a = 1[/tex]

[tex]x^{2} + 2x + 1 = (x+1)^{2}[/tex]

Thus, we have to add 1 on the right side of the equality.

We end up with:

[tex](x+1)^{2} = 9 + 1[/tex]

[tex](x+1)^{2} = 10[/tex]

So the correct answer is:

c.(x+1)^2=10

Answer:

Dear User,

Answer to your query is provided below

(i) Total Loss = Rs.15

(ii) Loss percent = 5%

Step-by-step explanation:

Eggs purchased = 5x12 = 60

Total Cost = 60x5 = Rs 300

Eggs Broken = 10

Eggs Broken cost = 10x5= Rs. 50

Eggs sold = 60-10 = 50

Egg Sale cost = 50x5.70 = Rs 285

(i) Total Loss = C.p. - S.p. = 300 - 285 = 15

(ii) Loss Percent = (Loss/CP)x100 = (15/300)x100 = 5%

Answer:

Step-by-step explanation:

A=πr^2

But A=88/63

88/63=πr^2

88/63π=r^2

√88/63π=r

Answer:

π

Step-by-step explanation:

For a circle, arc length is equal to the radius times the angle.

s = rθ

s = (1) (π − 0)

s = π

Answer:

[tex] p =\frac{7}{51}= 0.1372[/tex]

And then the probability that is NOT from sport temas using the complement rule is given by:

[tex] q = 1-p =1- \frac{7}{51}= 0.8627[/tex]

And if we convert that into % we got:

[tex] 0.8627 *100= 86.27\%[/tex]

Approximately 86.27% of the floats were NOT sports teams

Step-by-step explanation:

For this case we can begin finding the % of floats that were from sport tems using the Laplace definition of probability given by:

[tex]p = \frac{Possible}{Total}[/tex]

And replacing we got:

[tex] p =\frac{7}{51}= 0.1372[/tex]

And then the probability that is NOT from sport temas using the complement rule is given by:

[tex] q = 1-p =1- \frac{7}{51}= 0.8627[/tex]

And if we convert that into % we got:

[tex] 0.8627 *100= 86.27\%[/tex]

Approximately 86.27% of the floats were NOT sports teams

Answer:

$8.5

Step-by-step explanation:

We need to propose a system of equations with the information provided to us.

two large pizzas and one small pizza cost $36:

[tex]2L+S=36[/tex]

where

[tex]L[/tex]: Large pizza

[tex]S:[/tex] Small pizza

and the difference in cost between a large and small pizza is $5.25:

[tex]L-S=5.25[/tex]

our system of equations is:

[tex]2L+S=36[/tex]

[tex]L-S=5.25[/tex]

We are asked for the price of small pizza, so we must manipulate the equations in such a way that adding or subtracting them removes the variable L and we are left with an equation for S.

Multiply the second equation of the system by -2

[tex](-2)(L-S=5.25)\\\\-2L+2S=-10.5[/tex]

and now we sum this with the first equation of the system:

[tex]-2L+2S=-10.5\\+(2L+S=36)\\-------------\\-2L+2L+2S+S=-10.5+36[/tex]

simplifying the result:

[tex]3S=25.5[/tex]

and solving for S (the price of a small pizza)

[tex]S=25.5/3\\S=8.5[/tex]

Answer:

The more extreme height was the case for the shortest living man at that time (12.1017 standard deviation units below the population's mean) compare with the tallest living man (at that time) that was 9.3374 standard deviation units above the population's mean.

Step-by-step explanation:

To answer this question, we need to use standardized values, and we can obtain them using the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]  

Where

A z-score "tells us" the distance from [tex] \\ \mu[/tex] in standard deviation units, and a positive value indicates that the raw score is above the mean and a negative that the raw score is below the mean.

In a normal distribution, the more extreme values are those with bigger z-scores, above and below the mean. We also need to remember that the normal distribution is symmetrical.

Heights of men at that time had:

Let us see the z-score for each case:

Case 1: The tallest living man at that time

The tallest man had a height of 252 cm.

Using [1], we have (without using units):

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{252 - 176.74}{8.06}[/tex]

[tex] \\ z = \frac{75.26}{8.06}[/tex]

[tex] \\ z = 9.3374[/tex]  

That is, the tallest living man was 9.3374 standard deviation units above the population's mean.

Case 2: The shortest living man at that time

The shortest man had a height of 79.2 cm.

Following the same procedure as before, we have:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{79.2 - 176.74}{8.06}[/tex]

[tex] \\ z = \frac{-97.54}{8.06}[/tex]

[tex] \\ z = -12.1017[/tex]

That is, the shortest living man was 12.1017 standard deviation units below the population's mean (because of the negative value for the standardized value.)

The normal distribution is symmetrical (as we previously told). The height for the shortest man was at the other extreme of the normal distribution in [tex] \\ 12.1017 - 9.3374 = 2.7643[/tex] standard deviation units more than the tallest man.

Then, the more extreme height was the case for the shortest living man (12.1017 standard deviation units below the population's mean) compare with the tallest man that was 9.3374 standard deviation units above the population's mean.

Answer:

s(t)=8t

Step-by-step explanation:

The length of the sides of a square are initially 0 cm and increase at a constant rate of 8 cm per second.

Let the length of the Square = s

[tex]\dfrac{ds}{dt}=8 $cm/seconds, s_0=0 cm[/tex]

We solve the differential equation above subject to the given initial condition.

[tex]\dfrac{ds}{dt}=8\\ds=8$ dt\\Take the integral of both sides\\\int ds=\int 8$ dt\\s(t)=8t+C, where C is the constant of integration\\When t=0, s=0cm\\s(0)=0=8(0)+C\\C=0\\Therefore, s(t)=8t[/tex]

The formula that expresses the side length of the square, s (in cm), in terms of the number of seconds, t , since the square's side lengths began growing is:

s(t)=8t (in cm)

Answer:

Around 57.74 feet

Step-by-step explanation:

The tower and James form a right triangle, where the other two angles are 30 degrees and 60 degrees. The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side, which means:

[tex]\tan 30=\dfrac{x}{100} \\\\x=\tan 30 \cdot 100 \approx 57.74[/tex]

Hope this helps!

Answer:

Distance between 2 boats= 5.86m (3 s.f.)

Actual distance from farther boat from top of cliff= 16m

Step-by-step explanation:

Please see the attached pictures for full solution.