Mathematics College

Events X and Y are independent. The probability of X occurring is 1/3 . The probability of Y occurring is 1/2 . What is P(X and Y)?
a. 1/6
b. 1/3
c.2/3
d.5/6

Answers

Answer 1
For independent events [tex]X,Y[/tex], [tex]\mathbb P(X\cap Y)=\mathbb P(X)\times\mathbb P(Y)[/tex].

So

[tex]\mathbb P(X\cap Y)=\dfrac13\times\dfrac12=\dfrac16[/tex]
Answer 2

Answer: a. [tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Given : Events X and Y are independent.

The probability of X occurring is [tex]\dfrac{1}{3}[/tex].

The probability of Y occurring is [tex]\dfrac{1}{2}[/tex].

Since both events are independent, then we have

[tex]\text{P(X and Y)}=\text{P(X)}\times \text{P(Y)}\\\\\Rightarrow\ \text{P(X and Y)}=\dfrac{1}{2}\times\dfrac{1}{3}=\dfrac{1}{6}[/tex]

Hence, [tex]\text{P(X and Y)}=\dfrac{1}{6}[/tex]

Thus , (a.) is the correct option.

Related Questions

Choose the correct simplification of (8x4y3)2. (5 points)

Answers

Not sure what your options are but if it is
(8x^4y^3)^2 the answer should be
64x^8y^6

Answer:

the person below is correct  64x8y6 is the right answer

Step-by-step explanation:

If sec(x)=13/12 what is cos(x)?

Answers

recall that cosine is the reciprocal of secant, so is the same fraction, just upside-down.

You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?

Answers

Your total came to $7.97 for the bagels. Those are some expensive bagels

Answer:

You would pay $7.97 for your bagels!

Heights of adult women in the united states are normally distributed with a population mean of μ = 63.5 inches and a population standard deviation of σ = 2.5. a medical researcher is planning to select a large random sample of adult women to participate in a future study. what is the standard value, or z-value, for an adult woman who has a height of 50.4 inches? (calculate to 1 decimal)

Answers

For an adult woman with a height of 50.4 inches in the United States, the standard value (z-value) is approximately -5.2, calculated based on a normal distribution with a mean of 63.5 inches and a standard deviation of 2.5 inches.

To find the standard value or z-value for a given height in a normal distribution, you can use the formula:

[tex]\[ Z = \frac{{X - \mu}}{{\sigma}} \][/tex]

where:

- Z is the z-value,

- X is the individual data point (height in this case),

- [tex]\( \mu \)[/tex] is the population mean,

- [tex]\( \sigma \)[/tex] is the population standard deviation.

For the given problem:

- [tex]\( \mu = 63.5 \)[/tex] inches,

- [tex]\( \sigma = 2.5 \)[/tex] inches,

- X = 50.4 inches.

[tex]\[ Z = \frac{{50.4 - 63.5}}{{2.5}} \]\[ Z \approx -5.24 \][/tex]

Rounded to one decimal place, the z-value for an adult woman with a height of 50.4 inches is approximately -5.2.

what is the solution of the equation 1.6m - 4.8 = -1.6m

Answers

Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer:  m ≈ 1.5

Answer:

m=1.5

Step-by-step explanation:

I took the test.

Given this arithmetic sequence, find d. 3,_,_,15

Answers

[tex]a_1=3 \\ a_4=15 \\ \\ d= \frac{15-3}{4-1}= \frac{12}{3}=4 [/tex]

The answer is d=4

How are exponential functions related to logarithmic functions?
Model that with an example.

Answers

Exponential functions are related to logarithmic functions in that they are inverse functions. Exponential functions move quickly up towards a [y] infinity, bounded by a vertical asymptote (aka limit), whereas logarithmic functions start quick but then taper out towards an [x] infinity, bounded by a horizontal asymptote (aka limit).
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:
[tex] {e}^{y} = x[/tex]
if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:
[tex]{e}^{y} = x[/tex]
switch the x and y, then solve for y:
[tex] {e}^{x} = y[/tex]
So the exponential function is the inverse of the logarithmic one, f(x) = ln x

Exponential and logarithmic functions are related in that they are inverses of each other.

Logarithmic functions and exponential functions are inverses of each other.

For instance, let [tex]log a = b[/tex]

In order to eliminate the logarithmic function, we will apply an exponential function ([tex]e[/tex])to both sides.

[tex]e^{loga} = e^b[/tex]

The exponential function will cancel out the logarithmic function since they are inverses of each other to give:

[tex]a = e^b[/tex]

This example shows the inverse relationship that exists between the logarithmic and exponential functions.

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This table shows the weekly rainfall, in inches, for two cities for ten weeks. City A 0.2 0 1.5 1.3 2.5 3 0.4 0.3 0.2 1 City B 0 0 0.4 0.2 0.3 1 1 1 0.1 0.1 Which conclusion can be drawn from the data?

WILL GIVE BRAINLISET

Answers

the choices for the question are as follows;
A. During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
this is correct. rainfall of 1 inch was recorded on three days so it was the most often recorded rainfall. 

B. The range between the maximum and minimum values for City B is greater than the range between the maximum and minimum values for City A.
range for city A - 3 - 0 = 3
range for city B - 1- 0 = 1
this statement is incorrect as the range for city B is lesser than the range for city A.

C. For the ten weeks, City A received less rainfall, on average, than City B
the average rainfalls for;
City A - 1.04
city B - 0.41
city A received more rainfall on average than city B on average therefore this statement is incorrect.

D. The median for City A is less than the median for City B. 
city A - 0.7
city B - 0.25
median for city A is greater than median for city B therefore this statement is incorrect.

Therefore the conclusion that can be drawn from the data is During the 10 wk period, the rainfall amount recorded most often for City B was 1 in. - Statement A

Answer:

During the 10 wk period, the rainfall amount recorded most often for City B was 1 in

Step-by-step explanation:

expand the equation 1/3(2/5-2/3w)

Answers

1/3(2/5-2/3w)
= 1/3 * 2/5   - 1/3 *2/3w
= 2/15 - 2/9w

8.73e16 in simple form

Answers

8.73e16
= 8.73 x 10^16 ..............................scientific form 
= 87,300,000,000,000,000 ...........standard form

Solution:

we have been asked to write [tex]8.73e^{16}[/tex] in the simplest form.

This can be alternatively written as [tex]8.73*10^{16}[/tex]

And as we know that a number written in scientific notation can be re-written in the simple form by removing the "10 to the power" term by expanding the given number as below

[tex]8.73*10^{16}=8.73*1000,000,000,000,0000[/tex]

It can be further written by removing the decimal as below

[tex]8.73*10^{16}=87,300,000,000,000,000[/tex]

Hence the required simple form is 87,300,000,000,000,000


Which of the following are the correct properties of slope A.If two lines have the same slope, then they are the same line. B.The slope of a line that moves up from left to right is positive. C.A steep line has negative slope. D.Some lines have an undefined slope. E.The slope of a line is always positive.

Answers

Answer:

B.The slope of a line that moves up from left to right is positive.

Step-by-step explanation:

Slope is the ratio of vertical change to horizontal change. If a line moves up as x-values increase, then the signs of both changes are positive, and the slope is positive. This observation matches selection B.

_____

Comments on other choices

If a line is vertical, it will exhibit a vertical change with no horizontal change. The denominator of the ratio for slope will be zero. Division by zero is undefined, so we say the slope of a vertical line is "undefined."

Lines with the same slope will be parallel, if they're not the same line.

A line that moves down to the right has a negative change in its vertical coordinate for a positive change in its horizontal coordinate. The ratio of changes will have a negative sign. So, the slope of a line that moves down to the right is negative, not positive.

The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 6000 Fun Noodles per day during the summer. Raising the price to $4 will cause the sales to fall to 5000 Fun Noodles per day.

a. Assume the the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pars of the form (sales price, number sold).

The equation is?

b. Predict the daily sales of Fun Noodles if the price is $3.50.

? sales

? sales

Answers

PART A:
 The generic equation of the line is:
 y-yo = m (x-xo)
 First we look for the slope of the line:
 m = (y2-y1) / (x2-x1)
 m = ((5000) - (6000)) / (4-3)
 m = -1000
 Then, we substitute any point in the generic equation:
 (xo, yo) = (4, 5000)
 Substituting:
 y-5000 = (- 1000) (x-4)
 Rewriting:
 y = -1000x + 4000 + 5000
 y = -1000x + 9000
 The equation is:
 y = -1000x + 9000

 PART B: 
 For the price of 3.50 we have:
 y = -1000 * (3.5) +9000
 y = 5500

(a) The equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) The daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

(a) The general slope-intercept form of writing the equation of a line is [tex]y-y_1=m(x-x_1)[/tex] where, [tex]m[/tex] is the slope of the line.

According to the question,

[tex](x_1,y_1)\rightarrow (3,6000)[/tex] and [tex](x_2,y_2)\rightarrow (4,5000)[/tex]

Evaluate the value of the slope as-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{5000-6000}{4-3}\\m=-1000[/tex]

Now, substitute the parameters in the equation [tex]y-y_1=m(x-x_1)[/tex]-

[tex]y-y_1=m(x-x_1)\\y-6000=-1000(x-3)\\y-6000=-1000x+3000\\y=-1000x+9000[/tex]

Hence, the equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) Substitute [tex]x=\$3.50[/tex] in the slope-intercept equation  [tex]y=-1000x+9000[/tex] to evaluate the daily sales of fun noodles as-

[tex]y=-1000x+9000\\y=-1000(3.50)+9000\\y=-3500+9000\\y=5500[/tex]

Hence, the daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

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A square rug lies in the middle of a rectangular room. There are 7 feet of uncovered floor on 2 sides of the rug and 2 feet of uncovered floor on the other 2 sides. Find a polynomial expression for the area of the room in terms of x, the side length of the rug.

Answers

A = lw 


A=(x+10)(x+12) 


A=x²+22x+120

Polynomial expression of area of room in terms of x is A = x² + 9x + 14.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Area of rectangle(room) = Length × width

So,

A = (x + 7)(x + 2)

A = x² + 20x + 7x + 14

A = x² + 9x + 14

Hence "Polynomial expression of area of room in terms of x is A = x² + 9x + 14".

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Mr. Lin baked banana bread for a bake sale to raise money for the math team. He said that he added a spoonful of walnuts for each of the students in his three classes, and that he added more than 250 walnuts. He used the inequality
16w + 24w + 10w > 250 to represent this situation, where w represents the number of walnuts in each spoonful. How many walnuts can be in a spoonful?

Answers

To answer this question you would need to solve this inequality. The first step would be to combine all three terms on the left-hand side of the greater than symbol. By doing this you would have 50w > 250. To solve this inequality divide both sides by 50. The answer is w > 5. In words, this means the number of walnuts per spoonful is greater than five.

the hardware store sells sparklers for the 4th of july. they charge 19 cents apiece. the firework stand charges 85 cents for four. which is the better deal? how can you tell

Answers

Let’s start by finding the average for the place that charges 85 cents for 4 fireworks. You simply do 85 divided by 4 to get 21.25 cents. This means that each firework costs about 21 cents a piece. So, the first firework stand is the better deal, because 19 cents a piece is better than 21 cents a piece.

Using the equation, y=10000(0.97)x predict the purchasing power of $10000 ten years later

Answers

 Using the equation, y= 10,000(0.97)^ , predict the purchasing power of $10,000 ten years later. 
$7374

Answer:

The purchasing power is $7374

Step-by-step explanation:

We are given an equation [tex]y=10000(0.97)^x[/tex]

where,  

y represents purchasing power.

x represents the number of years.

We need to find purchasing power of $10000 after 10 years.

Put x=10 into equation and solve for y

[tex]y=10000(0.97)^{10}[/tex]

[tex]y=7374.24\approx 7374[/tex]

After 10 years the purchasing power of $10000 becomes $7374

As we can see the value of the product decrease.

Hence, The purchasing power is $7374

Which expression is equivalent to 2.25 + 2.25x + 1 - 0.75x + 2x

Answers

2.25 + 2.25x + 1 - 0.75x + 2x = 3.5x + 3.25

How far does a horse on a Merry-go-round travel in one revolution if he is 6.5 feet from the center? (Use 3 for π)
A) 13 feet
B) 26 feet
C) 39 feet
D) 52 feet

Answers

Circumference of Circle = 2 π r 

2 · 3 · 6.5 =39

So it is C) 39 Feet

Answer:

41 FEET

Step-by-step explanation:

I JUST DID USATESTPREP

Two buses leave the station traveling in opposite directions one going east and one going west the eastbound bus travels at 40 mph and the west bound bus travels at 65 mph if both buses leave the station at 10 AM at what time will they be 1260 miles apart

Answers

Answer:

  10 PM

Step-by-step explanation:

The combined speed of the two buses is ...

  40 mph + 65 mph = 105 mi/h

The relationship between distance, speed, and time can be written ...

  time = distance/speed

so the elapsed time until the buses cover the distance is ...

  time = (1260 mi)/(105 mi/h) = 12 h

___

12 hours after 10 AM is 10 PM.

The buses will be 1260 miles apart at 10 PM.

In the diagram below QRS=NMP what is length in inches of MP

Answers

mp is congruent to rs

can u show me common core way this problem how to do 5/9 ×3 1/2

Answers

1.) you want to make 3 1/2 an improper fraction. so multiply 3 times 2 (your denominator) then add 1 (numerator). 
3x2= 6  6+1=7, then put 7 over your denominator which would be 7/2.
2.) multiply 5/9 times 7/2
5 times 7 is 35
9 times 2 is 18
your answer is 35/18
3.) make it a proper fraction
18 times 2 is 36 so that would't work to have two!
so you only can put 18 into 32 once so subtract 32-18 so you know what is left over after you take a whole out. 32-18=14. 14 is now the numerator and so put your whole number first then put your numerator over your denominator: 1 14/18
4.) simplify
1 14/18=  1 7/9, I divided 14 and 18 by 2 to simplify


The answer is 1 7/9
first off, we change the mixed fraction to an "improper" fraction, and then multiply like we would any other fractions, so let's do so,

[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies\cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\ -------------------------------\\\\ \cfrac{5}{9}\times 3\frac{1}{2}\implies \cfrac{5}{9}\times\cfrac{7}{2}\implies \cfrac{5\times 7}{9\times 2}\implies \cfrac{35}{18}\implies 1\frac{17}{18} \\\\\\ \textit{keep in mind that }1\frac{17}{18}\implies \cfrac{1\cdot 18+17}{18}\implies \cfrac{35}{18}[/tex]

Let $\mu$ and $\sigma^2$ denote the mean and variance of the random variable x. determine $e[(x-\mu)/\sigma]$ and $e{[((x-\mu)/\sigma)^2]}$

Answers

[tex]\mathbb E\left(\dfrac{X-\mu}{\sigma}\right)=\dfrac1\sigma\mathbb E(X)-\dfrac\mu\sigma=\dfrac{\mu-\mu}\sigma=0[/tex]

[tex]\mathbb E\bigg(\left(\dfrac{X-\mu}\sigma\right)^2\bigg)=\dfrac1{\sigma^2}\mathbb E\left(X^2-2\mu X+\mu^2\right)=\dfrac{\mathbb E(X^2)-2\mu\mathbb E(X)+\mu^2}{\sigma^2}[/tex]
[tex]=\dfrac{\mathbb E(X^2)-2\mu^2+\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mathbb E(X)^2}{\sigma^2}[/tex]
[tex]=\dfrac{\mathbb V(X)}{\sigma^2}=\dfrac{\sigma^2}{\sigma^2}=1[/tex]
Final answer:

The expectation of (x-µ)/ equals 0, as it's the standardized form of variable X having a mean of 0. The expectation of {[((x-µ)/)]^2} equals 1, as it's the variance of the standardized variable which is always 1.

Explanation:

The question pertains to the concepts of expected values, mean and variance in probability and statistics. When we have a random variable X with mean µ and variance ^2, we can determine the expected value of a transformed variable (x-µ)/ and its square (x-µ)/^2.

The expectation of (x-µ)/ is actually 0. This is because when you subtract the mean (µ) from the random variable and divide by the standard deviation (), you are standardizing the variable to have a mean of 0.

For the expectation of {[((x-µ)/)]^2}, we actually get 1. This is because the square of a standardized random variable, like (x-µ)/, is the variance of the standardized variable, which is always 1.

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!100! POINTS PLEASE HELP ME BRAINLIEST!!!!!!!!!!!!

Answers

This should be a basic system of equations problem
-------------
12x + 4y = 152
32x + 12y =420
-----------------------
First solve 12x + 4y = 152 for x
Add -4y to each side
12x+4y+-4y=152+-4y
12x=-4y+152
----------------------------
Divide each side by 12
12x ÷ 12 = [tex] \frac{-4y+152}{12} [/tex]
x = -1/3y + 38/3
============================================================
Substitute -1/3y + 38/3 for x in 32x+12y=420
32(-1/3y + 38/3)+12y=420
-------------
Simplify each side
4/3y + 1216/3 = 420
-------------------
Add -1216/3 on each side
4/3y + 1216/3 + -1216/3 = 420 + -1216/3
4/3y = 44/3
-------------------------
Divide each side by 4/3
4/3y ÷ 4/3 = 44/3 ÷ 4/3
y = 11
y = 11 is your answer

Answer:

y = 11 is your answer

Abigails mom said she will be home from work in 65 minutes its 4:27 pm and abigail has dance practice at 6:00 pm. How much time will abigail have between the time that her mom gets home from work and the beginning of dance practice

Answers

she will have 28 minutes. 65 mins= 1 hour and 5 minutes. 1 he and 5 min+ 4:27= 5:32. 5:33 + 28=6:00.

The time that her mom gets home from work and the beginning of dance practice is 28 minutes.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, It is 4:27 pm and Abigail's mom said she will be home from work in 65 minutes.

Now 60 minutes from 4:27 pm is 5:27 pm and 5 minutes more is 5:32 pm.

Abigail has dance practice at 6:00 pm, So the time that her mom gets home from work and the beginning of dance practice is 28 minutes seems obvious.

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is the sample valid? what percent of students prefer caramel popcorn?

Answers

Is the sample valid?
 First you must see if the number of students in the table corresponds to the number of students surveyed that was 75.
 We have then:
 33 + 15 + 27 = 75
 We have then that:
 The sample is valid.

 what percent of students prefer caramel popcorn? 
 We can make the following rule of three to answer this question:
 75 ---> 100%
 27 ---> x
 Clearing x we have:
 x = (27/75) * (100)
 x = 36%
 36% percent of students prefer caramel popcorn

A class of 32 students shares a class set of 78 colored pencils. On a day with six students absent, which statement is true? A. For each student, there are 4 colored pencils. B. For each student, there are 3 colored pencils. C. For every 3 students, there is 1 colored pencil. D. For every 4 students, there is 1 colored pencil. I need help solving the problem

Answers

With six students absent, there are 26 students, so 78/26 = 3 colored pencils for each student.

Selection B is appropriate.

Tom spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his credit card bill. If $1320 was left, what was his monthly salary?

Answers

assume that x = monthly salary

x -1/3x - 1/7x = 1320
11/21x =1320
x = 1320 divides by 11/21
x = $ 2520

his monthly salary was $ 2520

Susan been a total of $26 at the State Fair she's mad she spent 9 on food in the rest of the money susan spent on games,g.

Answers

the answer for this problem would be D. g+9 = 26
The answer is D, because she spent 9 on food and subsequently 15 on games.

Convert a length of 25.0 m to inches.
express your answer numerically in inches.

Answers

Answer:

  98.4 inches

Step-by-step explanation:

You want the length 25.0 meters expressed in inches.

Conversion

There are 0.254 m in an inch, so the distance d can be found from the proportion ...

  d/(25 m) = (1 in)/(0.254 m)

Multiplying by 25 m, we find ...

  d = 25/0.254 in ≈ 98.4252 in

The length is about 98.4 inches.

__

Additional comment

The value to convert is given to 3 significant figures. The conversion factor is exact. The answer is appropriately expressed using 3 significant figures.

Melissa estimated that she would read 250 Pages last week. she read 290 pages. What is the percent error of Melissa's estimate round to the nearest whole percent

Answers

estimate = 250
Actual = 290
Error = 290 - 250 = 40
Percentage error = 40/250 x 100 = 16% 

Answer:13.79

Step-by-step explanation: I put that answer and gt it wrong an dthe thing told me the answear was 13.79

Other Questions
The Dunkers is a religious group which moved from Germany to Pennsylvania in the 1700's. The Dunkers do not mate outside of their small group, and this has led to a change in the frequency of certain genes. The Pennsylvania Dunkers are now unique for other populations, including their German relatives. Which of these best describes this occurred?A)gene flowB)speciationC)genetic driftD)natural selection Describe the settlement pattern of a typical American city. Answer the following question in a complete French sentence: Est-ce que ta mre a peur des monstres? ________________________________________I know this means is your mother afraid of monsters?Can someone help how to answer.. Im kinda stuckThis is what I have so farNon, mon mere...I need help finishing it thanks :) How did mauryan empire fund its complex pilitical structure why does douglass view this invitation to speak on the fourth of july as an act of tokenism the graph below could be the graph of which exponential function The sixth grade art students are making a mosaic using tiles in the shape of right triangles. Each tile has leg measures of 3 centimeters and 5 centimeters. If there are 200 tiles in the mosaic, what is the are of the mosaic? Explain. PLEASE HELP!!! why did the Roman empire fall in 476 CE Cuando se usan estructuras temporales en estados unidos Which word is not derived from ludere?a. collusionb. illusionc. preluded. ablutione. ellude A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150.00 with a standard deviation of $30.20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2.5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test? The popular idea that terminally ill and bereaved people go through predictable stages, such as denial, anger, and so forth: 12x3+4x3+3x+1 factor by grouping Which of the following statements describes how you would classify Figure 28.2 as a negative feedback loop? aThe control center counteracts change from a set point. bThe sensors notice an increase away from a set point. cNerves and hormones carry messages to target organs. dA target organ receives and responds to a message. A 14.5-gallon gasoline tank is 3434 full. How many gallons will it take to fill the tank? Write your answer as a mixed number. The combining of the nuclei of atoms is known as nuclear _____.A.) fissionB.) fusionC.) bombardmentD.) fallout According to eugene v. debss speech to the jury before sentencing under the espionage act (1918), what did socialists in the united states strive for? The figure is a cylinder with a sphere within it.To the nearest whole number, what is the approximate volume of the shaded part of this figure?Use 3.14 for Pi.Drag the correct value to the box. Very unsure on my answers for these 2 questions. I really have no idea what I'm doing. Could someone please explain? Will give medal and maybe become a fan if someone would just help me understand! Please?1. Which of the following energy yields is likely to have come from a fission or fusion reaction? 1.0 10^2 kJ/mol 2.5 10^2 kJ/mol 1.2 10^3 kJ/mol*This one??? 1.4 10^11 kJ/mol2. In a nuclear reaction, a change in mass of 1.0 104 g occurs. What is the corresponding change in energy? Use the formula E = mc2. 9.0 10^3 kJ*My best guess... 9.0 10^6 kJ 9.0 10^9 kJ 9.0 10^12 k I was known as the "swamp fox." i used methods against the british in south carolina that break traditional rules of war. who am i