According to a Gallup poll, 60% of American adults prefer saving over spending. You randomly select 4 adults and ask if they prefer spending over saving. Construct a probability distribution for the random variable x. Then graph the distribution. (Histogram)



Expected Value ______________________________

Standard Deviation _____________________________

B –

I-

N-

S-

Interpretation

Answers

Answer 1

Using the binomial distribution, it is found that:

The expected value is of 2.4.The standard deviation is of 0.76.The distribution is given by the histogram.

For each person, there are only two possible outcomes, either they prefer saving, or they prefer spending. The preferences of each person are independent of any other person, hence, 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:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

The expected value is:

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

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]

In this problem:

60% prefer saving over spending, hence [tex]p = 0.6[/tex]4 adults are selected, hence [tex]n = 4[/tex].

Then:

[tex]E(X) = np = 4(0.6) = 2.4[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{2.4(0.6)(0.4)} = 0.76[/tex]

The histogram is sketched at the end of the answer.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

According To A Gallup Poll, 60% Of American Adults Prefer Saving Over Spending. You Randomly Select 4

Related Questions

Can anyone understand what this symbol is , I'm viewing scratch work to understand what to do with a problem but I can't understand what this is, is this cursive or something?​

Answers

Unfortunately no it’s not

HURRY HELP PLEASE! SERIOUS ANSWERS ONLY!


Living Space?

You have the opportunity to live in a 3 bedroom 3.5 bath on Miami Beach in a Luxury Condo or in Laurel Mississippi in a 5-bedroom 7 bath home. Money for either is not an issue. The only stipulation is that you and your present family situation will remain intact. Given your present situation, which would you choose and why? (Students will receive full credit for their completion of the project; steps 2 and 3)

1. Look up property and amenities

a. Condo on: unaresidencemiami.com/price-list

b. Home on: 2230 Ridgewood Dr, Laurel, MS 39440 (type in address)

2. Look up the community in which EACH is located

3. Solve for the intersection of the two properties (two variable systems of equations using the

cost and the Square Footage as the variables)

a. Condo: $2.2 million / 1946 sq feet

b. House : $.3 million / 4681 sq feet

4. Which would you choose and why?

Answers

Answer:

The Mississippi home

Step-by-step explanation:

I would get the Mississippi home because it has 5 bedrooms with 7 bathrooms, it would be a great home for a family and guest to go to. and it also depends on the condition of the home and the amount of people in you family.

Question 2 of 10
What is the y-intercept of the line given by the equation y = 5x + 16?
Answer here
SUBNI

Answers

Hi!

This equation is written in ' y = mx + b ' form, where m is the slope, and b is the y-intercept.

Therefore, looking at this equation, we can see that 16 is the y-intercept.

Hope this helps! Let me know if you need any other help :D

Answer:

the y intercept is (0,16)

Step-by-step explanation:

In an equation like this y= 5x+16.  The number next to x would be the slope and the number after the x would be the y intercept.  

can someone help pls

Answers

Answer:

[tex]5.5[/tex]

Step-by-step explanation:

Since 1pt = 2qt, 2.75pt = 5.5qt

3x+y=5
2x-y=0
Plsss help i need step by step plsss 9th grade

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

3x + y = 5

y = 5 - 3x

-----

2x - (5 - 3x) = 0

2x + 3x - 5 = 0

5x - 5 = 0

5x = 5

x = 1

-----

3(1) + y = 5

3 + y = 5

y = 2

Step-by-step explanation:

1. you add 3x to the other side to get y=-3x+5

2. then for the other equation you subtract 2x to the other side to get -1y=2x

3.then you divide by -1 to get y=2x

y=-3x+5 and y=2x

A bag of mixed nuts contains cashews, pistachios, and almonds. There are 4000 total nuts in the
bag, and there are 400 fewer almonds than pistachios. Cashews weigh 2 g, pistachios weigh 3 g, and almonds weigh 5 g. If the bag weighs 9.7 kg, find out how many of each type of nut is in the bag.
Cashews:
Pistachios:
Almonds:

Answers

Answer :

Cashews : 2950

Pistachios : 725

Almonds : 325

( credits to FB person : Moni )

Solve the linear system using elimination.
46) -2x+4y=-2
6x - y=28

Answers

Answer:

x = 5, y = 2

Step-by-step explanation:

just trust me, I used a calculator

The following system of linear equations is solved by graphing them on the coordinate plane.

y=3x−2y=−35x−1

Which ordered pair is the best approximation of the solution to the system?


(0,−1)

(−1,0)

(−1,−1)

(1,1)

Math lol

Answers

Answer:

  (0, -1)

Step-by-step explanation:

Maybe you're graphing ...

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

These lines meet in the 4th quadrant. The closest point among the answer choices is on the negative y-axis: (0, -1).

velocity question ht=2+31t-16tsquared​

Answers

Answer:

Step-by-step explanation:

If I am not mistaken the equation is [tex]S(t) = 2 + 31t - 16t^{2}[/tex]

Then in that case V(t) = S'(t) = 31 - 32t

V(t)=0 gives the time when the stone hits the ground.

31 - 32t = 0

32t = 31

t = 31/32 = 0.96875s

i really need helpppppppppppppppppppppppppppppp

Answers

Answer:

it makes no sence

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Mean x¯¯¯ 7.25

Median x˜ 7

Mode 6

Range 12

Minimum 1

Maximum 13

Count n 16

Sum 116

Quartiles Quartiles:

Q1 --> 5

Q2 --> 7

Q3 --> 10

Interquartile

Range IQR 5

Outliers none

7.25 - 7 = 0.25

help please asappppppppp​

Answers

Answer:

First Equation: 6a-23

Second Equation: 5a-20

Step-by-step explanation:

So, I think you want me to answer part 2...

For the first equation, we can see that the denominator stays the exact same, meaning the numerator will also not change.

For the second equation, we can see the denominator changed from a-3 to 5a-15. The denominator was simply multiplied by 5. Since the denominator was multiplied by five we must multiply the numerator by five as well.

5(a-4)

5a-20

Hope this helps :)

Simplify. x+y -x²-y²/x-y

Answers

X=222 y=58 nngvvhhydvkuvv

Negative five times a number decreased by ten is negative twenty five

What is the equation

Answers

-5x-10=-25 not sure if it’s correct!!!!

112
121
124
137
147
156
173
189

Find the median revenue.

Answers

Answer:

142

Step-by-step explanation:

Median is the MID Number

Types of Angle Relationships
Listen
Question
If two angles are supplementary, then the sum of their measures is _[blank] degrees.
Question
ol
What number correctly fills in the blank in the previous sentence?
Question
Enter your answer as a number, like this: 42
а

Answers

Answer: The answer is 180°.

Explanation: Two angles are called supplementary when their measures add up to 180 degrees, therefore the answer is 180 degrees.

please help

x-3=x^(2)-10x+25

Answers

Answer:

x=7,4

Step-by-step explanation:

Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.

Answers

Answer:

1

Step-by-step explanation:

(f/g)(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x}{3x-2}[/tex] ← substitute x = 2 into the expression

= [tex]\frac{2(2)}{3(2)-2}[/tex]

= [tex]\frac{4}{6-2}[/tex]

= [tex]\frac{4}{4}[/tex]

= 1

r (90 degree) (def) for d (0,5) e (-2,8) f(-3,-5)

Answers

Answer:

d'(5,0) e'(8,2) f(-5,3)

Step-by-step explanation:

When rotating 90 degrees clockwise you only flip the x,y coordinates and changes the x

Example- (4,5) would become (5,-4)

Concrete pour requires 9.83 cubic yards of cement. How many one cubic foot sacks must be order?

Answers

Answer:

  266

Step-by-step explanation:

There are (3 ft)^3 = 27 ft^3 in 1 cubic yard. Then 9.83 cubic yards will be ...

  (9.83 yd^3)(27 ft^3/yd^3) = 265.41 ft^3

265 sacks will not be enough. 266 sacks must be ordered.

The quotient of 2 numbers, p and q

A: pq

B: p+q

C: p/q

D: p - q

Answers

Answer:

b

Step-by-step explanation:

pls pls pls mark me as brainliest

Answer:

C: p/q

Step-by-step explanation:

Quotient is the result of dividing two numbers so C would be the best answer

Hope this helps! :D

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

at the vertex x = 4.5

Step-by-step explanation:

hope this helps! :)

Answer:

at the vertex x = 4.5

Step-by-step explanation:

Each of the following is a tip for saving EXCEPT:
A.
shop smart
B.
use credit cards
C.
pay yourself first
D.
focus on reaching a goal

Answers

A (good way to save money): If you shop smart, you can pick up amazing deals like BOGO's, 50% Off, 60 or even 70% off and yet you can still get so many brand that people enjoy

B (good way to save money): If you have a good credit card company, you can earn free rewards or even cheaper rewards for things that can cost large amounts

C (helps save lots of money): This is almost like paying another bill every month, where you set aside a certain amount every month for in the future like vacations or when you hit retirement. This could also be considered the answer because that could also bring to the lack of able to pay all bills needed

D (this is where I think the answer could be possible): Some people make "goals" of spending hundreds of dollars on shopping mall trips or goals of purchasing tons of things that want and can cost thousands of dollars, which is considered a waste of money

Subtract 8 feet from 9 yards, 1 foot.

7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foot

Answers

Answer:

6 yards, 2 feet

Step-by-step explanation:

9yards and 1 ft - 8 feet= 6.66666667 yards

6.66666667 yards=6 yards, 2 feet

6 yards, 2 feet

hope it helps

Need help a lot stuck

Answers

The answer is A

ok done. Thank to me :>

Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station over time. The train moves more quickly than the bus. Write an equation of a function that could represent the train's distance to the next station.​

Answers

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

y=(5/2)x +20

3) Solve the problem using your graphing calculator. Round all para meter values to the nearest hundredth.

Beatrice used a slingshot to launch an egg into the air. She recorded the egg's path using a motion detector. The following data represents the height (in feet) of the egg at certain time points (in seconds). Distance is the dependent variable and time is the independent variable: {(0.0, 16), (1.7, 20.46), (2.5, 23.16),(3.7, 23.51),(5.1, 20.07), (6.6, 12.4),(7.3,5.62), (8.0, 0.15)}

At approximately which time is the egg on the ground?

A). O seconds
B). 16 seconds
C). 8 seconds
D). -2 seconds
E). The egg is never on the ground.​

Answers

Answer:

mmm, well, not much we can do per se, you'd need to use a calculator.

I'd like to point out you'd need a calculator that has regression features, namely something like a TI83 or TI83+ or higher.

That said, you can find online calculators with "quadratic regression" features, which is what this, all you do is enter the value pairs in it, to get the equation.

Step-by-step explanation:

1/4, 3/4, 5/4, 7/4, ... 15th term

Answers

Answer:

29/4

Step-by-step explanation:

2/4 is added per step

14 steps from 1/4

1/4 + 14.(2/4) = 29/4

Answer:

29 / 4 is the 15th term

simplified : 7 1/4

Step-by-step explanation:

3/4 - 1/4 = 2/4

5/4 - 3/4 = 2/4

7/4 - 5/4 = 2/4

. Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

a15 = a1 + (n-1) d

a15 = 1/4 + (15 - 1) 2/4

a15 = 1/4 + 14 (2/4)

a15 = 1/4 + 7

a15 = 29/4 or 7 1/4

Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters

Answers

Answer:

In a period of time of 24 hours...

Step-by-step explanation:

In a period of time of 24 hours, she would have put 1008 letters. Good job Natasha

free pointttttttttttttttttttts

Answers

yo mama is so fat

when she saw you she died from diabetes

help with this please

Answers

Answer:

8

Step-by-step explanation:

we conformed the 8s by 4 and 3

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