Solution :
It is given that we have a null and an alternative hypothesis. The hypothesis are :
[tex]$H_0: \mu = 240,000$[/tex]
[tex]$H_a : \mu < 240,000$[/tex]
We have to find if the cost of average home has decreased or not in this month.
So it is given that the test statics is -1.79, so the p value associated with the test statics is less than ( α ) 0.01
Therefore, we can conclude that the cost of the average house is less than $ 240,000.
Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?
Answer: 4 months
Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.
Answer: 4months
Step-by-step explanation:
Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.
Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket, attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue
Answer:
New price is $12.75
New attendance is 57500
Step-by-step explanation:
For starters, we use the relation.
18 - 3x
Since we don't know the number of times we're expected to deduct $3 from the price.
Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.
Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be
(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0
Expanding the bracket, we have
[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have
900000 + 105000x - 30000x² = 0 or
-30000x² + 105000x + 900000 = 0
Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a
x = -105000 / 2 * -30000
x = -105000 / -60000
x = 1.75
From our earlier equations, the new price then is
18 - 3(1.75) = 18 - 5.25 = $12.75
The new attendance also is
40000 + 10000(1.75) =
40000 + 17500 = 57500
PLS HELP answer all and the pictures, label them as the first 3, and the second one 4
1. Identify the solid by its description:
One triangular base and three lateral faces that are triangles
2. Identify the solid by its description:
Two parallel rectangular bases and four lateral faces that are rectangles
Answer:
Is a rectangular polygon because it has sides which are rectangleIt a polygon cone or a polygon pyramid because it has a base of a polygonn airline company charges the following baggage fees: $25 for the first bag and $35 for the second (i.e., you pay $60 if you check two bags). Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. About how much revenue should the airline expect for a flight of 120 passengers
Answer:
The airline should expect a revenue of $1,884 for a flight of 120 passengers
Step-by-step explanation:
For each passenger:
54% of passengers have no checked luggage, that is, 54% probability of no revenue.
34% have one piece, that is, 34% probability of $25 revenue.
12% have two pieces, that is, 12% probability of $60 revenue.
The expected revenue for a single passenger is:
[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]
For 120 passengers
15.7*120 = $1,884
The airline should expect a revenue of $1,884 for a flight of 120 passengers
Determine which of the following pairs of angles are complementary,
supplementary or neither.
Step-by-step explanation:
Supplementary angles add up to 180
Complementary angles add up to 90
you can check those angles by adding them up
121+59=180 Supplementary
49+51=100 Neither
25+65=90 Complementary
Hope that helps :)
Step-by-step explanation:
121 and 59 are supplementary.49 and 51 neither.25 and 65 are complimantary.Dont steal points please if you do you will get repo answer all please I will give brainliest if its correct and 5 stars rating and the heart thanks.
Answer:
Here is the work I did yesterday for you
Step-by-step explanation:
its very easy just try it
Answer:
it is biased
Step-by-step explanation:
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
answer:
i believe 28
Step-by-step explanation:
PLZ HELP!!!!! Find the slope of each line that passes through the given points. (−2, 1) and (6, −5)
Answer:
m = -3/4
Step-by-step explanation:
-5 - 1 / 6 - -2 = -6/8 = -3/4
Answer:
Step-by-step explanation:
(-5 - 1)/(6 + 2)= -6/8 = -3/4
At the school fall festival, the student council sold sodas as a fundraiser. The table below shows the number of sodas they sold and the cumulative total money.
Sodas Sold Money Collected
0 $0.00
2 $3.00
5 $7.50
9 $13.50
10 $15.00
Based on the information, what is the price per soda?
A.
$1.50 per soda
B.
$0.50 per soda
C.
$2.25 per soda
D.
$2.50 per soda
Can somebody please help me with this question?
To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)
(5-2) · 180 = 3 · 180 = 540.
Now, all we have to do is add up all of the angles:
75 + 126 + 126 + 81 + c = 540
c = 132
The diameter of a circle is 16 kilometers. What is the angle measure of an arc 6 kilometers long?
In simplest form
Answer: 135/pi
Step-by-step explanation: Circumference is 16pi. So then 6/16pi is the fraction of the 360 arc measure of the entire circle that is the angle measure of the arc, so we multiply 6/16pi times 360 and yield 135/pi. Hope this helps!
You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 hours?
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 429 watts with a standard deviation of 10 watts. What is the probability that the mean amplifier output would be greater than 432.1 watts in a sample of 76 amplifiers if the claim is true
Answer:
0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean output of 429 watts with a standard deviation of 10 watts.
This means that [tex]\mu = 429, \sigma = 10[/tex]
Sample of 76:
This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]
What is the probability that the mean amplifier output would be greater than 432.1 watts?
This is 1 subtracted by the pvalue of Z when X = 432.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{432.1 - 429}{1.147}[/tex]
[tex]Z = 2.7[/tex]
[tex]Z = 2.7[/tex] has a pvalue of 0.9965
1 - 0.9965 = 0.0035
0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.
Show processes po Pa help po need ko po bukass pleaseeee po.... I BRAINLIEST ko po yung tamang sagot:(
there's your answer.............
Billy ate 30% of a pizza and Bonnie ate 3/8 of a pizza who ate more
Is the following equation exponential? Why or why not y=x^2+5
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Yes because of x^2
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Anna charges $8.50 per hour to babysit . How much will earn if she works for 31/2 hours?
Answer:
$29.75
Step-by-step explanation:
$8.50 for 1 hour
So for 3 hours, it will be 8.50 + 8.50 + 8.50 equaling to 25.50
So far the total is $25.50 for 3 hours ONLY!
Now, for half of an hour it will be half of a price, making 8.50 into 4.25
Finally, add $25.50 + $4.25 giving you the totality of $29.75 as the final pay after working for 3 1/2 hours
Which two-way frequency table correctly shows the marginal frequencies?
Answer:
B
Step-by-step explanation:
Need answer asap, brainliest for correct answer
Answer:
C
Step-by-step explanation:
The rotation of 90 degree anti clockwise makes more sense as the reflection is across the x axis shows us a line of symmetry above after the rotation of 90 degree anticlockwise at x axis (0) so that the rectangle is reflected ito (-8,-3)) (-3,-3) (-8,-6) (-3,-6)
Proving that the rectangle is 5cm long and 3cm high after 90 degree rotation and reflection from y axis to the x axis position in the far left corner.
solve the equation of the 18y = 144 to find the value of y
Answer:
y=8 i think
Step-by-step explanation:
Answer: y=8
Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8
I hope this helps you or anybody!
Can someone help with vectors?
Answer:
Wait, the vector from despicable me or the math vector?
Step-by-step explanation:
If its the math vector than here: The correct answer is a vector
HELP PLEAse?
Classify the triangle by its sides and angles.
-acute, scalene
-obtuse, scalene.
-acute, equilateral
-obtuse, equilateral
Answer:
acute, equilateral
Step-by-step explanation:
Answer:
Acute, equilateral
Step-by-step explanation:
Angle of 60 is acute and it is an equilateral triangle.
Jane's dog is 62 centimeters long. Alan's dog is 33 centimeters long. How
much shorter is Alan's dog than Jane's dog?
Amir has 5 cups of water. He uses it to water 12 plants. Each plant gets
the same amount of water. How much water does each plant get?
Answer:
5/12 cup of water per plant
help help help please
Answer:
the lines are perpendicular because they have the same slope so the correct answer would be c
Step-by-step explanation:
find the area (pls help)
Answer:
Equation: 4.8 times 5.2 then divided by 2
= 12.48 (area)
Step-by-step explanation:
The formula of finding the area of a triangle:
base * height then divided by 2
* = multiply
Base: 4.8
Height: 5.2
multiply them
= 24.96
then divide by 2
= 12.48
hope this helped :)
Answer:
12.48
Step-by-step explanation:
5.2 times 4.8 is is 24.96 and that divded by 2 is 12.48
Find the measure of 44.
{
44
158°
K
*4 = [?]
<4=22°
Answer:
<4+158=180 co interior angle
<4=180-158=22°
Answer:
solution given:
<4+<158°=180°[co- interior angle]
<4=180°-<158°=22°
<4=22° is your answer
When (3x + 2)^2 is subtracted from 10x^2, the result is