Answer:
20
Step-by-step explanation:
A wedding website states that the average cost of a wedding is $25,809. One concerned bride hopes that the average is less than reported. To see if her hope is correct, she surveys 46 recently married couples and finds that the average cost of weddings in the sample was $24,638. Assuming that the population standard deviation is $5531, is there sufficient evidence to support the bride’s hope at the 0.10 level of significance?
Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below.
H0Ha: μ=25,809: μ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯25,809
Step 2 of 3 : Find the test statistic
Step 3 of 3 : What is the conclusion?
Answer:
1)
Null hypothesis H₀ : μ = 25,809
Alternative hypothesis H₁ : μ < 25,809
2) Test Statistic = -1.44
3) Conclusion:
The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.
Step-by-step explanation:
Given the data in the question;
Sample mean x" = 24,638
sample size n = 46
standard deviation σ = 5531
level of significance ∝ = 0.10
NULL and ALTERNATIVE HYPOTHESIS
Null hypothesis H₀ : μ = 25,809
Alternative hypothesis H₁ : μ < 25,809
TEST STATISTICS
Z = (x"-μ) / σ√n
we substitute
Z = (24,638 - 25,809) / (5531/√46)
Z = -1171 / 815.5
Z = -1.44
Test Statistic = -1.44
Now, from normal z-table;
P-value = P( Z < -1.44 ) = 0.0749
P-value = 0.0749
Since P-value ( 0.0749 ) is less than level of significance ( 0.10 ), we reject H₀.
Conclusion:
The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.
need help w/ this
can someone tell me the answer and explain it? will give out 25pts
Answer:
Step-by-step explanation:
bro this is easy work the answer is C
A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and
2 green marbles. You randomly choose one marble from the bag. (a) Find
the number of ways the event can occur. (b) Find the favorable outcomes
of the event.
1. Choosing red
2. Choosing green
3. Choosing yellow
4. Choosing not blue
Step-by-step explanation:
1) 4/12= answer --->1/3
2)2/12= -----> 1/6
3)3/12------>1/4
4) 1/9
its been so long since I did this so number 4 might be wrong
In the song, 25 percent of the class weighed less than 6 pounds, 1 ounce at birth. 6 pounds, 1 ounce is the
Answer:
Step-by-step explanation:
A
For the considered case, the weight 6 pound 1 ounce will be taken as : Option C: Lower quartile.
What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
For this case, it is said that 25% of the class weighted less than 6 pounds 1 ounce. That means it is first quartile or say lower quartile.
Thus, for the considered case, the weight 6 pound 1 ounce will be taken as : Option C: Lower quartile.
Learn more about quartiles here:
https://brainly.com/question/9260741
calcular el número de lados de aquel poligono cuyo número de diagonales.
I need help with this!
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Answer:
see attached
Step-by-step explanation:
12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.
The baby was growing fastest in the first 3 months.
__
13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.
The second attachment shows a graph of the distance versus time.
_____
I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)
5. Solve the following system using Gauss-Jordan Elimination. Indicate all row
operations and show all steps.
3x + 4y + 2z = 3
4x – 2y - 8z = -4
x + y - z= 3
Answer:
(-3,4,-2)
Step-by-step explanation:
Answer:
x=0
Step-by-step explanation:
What expression is equivalent to 3/5
Answer:
9/15
Step-by-step explanation:
1
What is the measure of A?
The measure of A is: 78°
A random sample of 8 Samsung Galaxy smartphones being sold over the Internet in 2013 had the following prices, in dollars:
249 349 299 249 149 135
199169
Assume the population standard deviation is alpha = 85.
If appropriate, construct a 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013.
Answer:
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]S_{m} = \frac{249+349+299+249+149+135+199+169}{8} = 224.75[/tex]
Confidence interval:
We have the standard deviation for the population, so the z-distribution is used.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.995}{2} = 0.0025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0025 = 0.9975[/tex], so Z = 2.807.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.807\frac{85}{\sqrt{8}} = 84.36[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 224.75 - 84.36 = $140.39
The upper end of the interval is the sample mean added to M. So it is 224.75 + 84.36 = $309.11
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
What is the area?
6 mi
4 mi
square miles
Answer:
12 sq mi
Step-by-step explanation:
base times height divided by 2
Answer:
12
Step-by-step explanation:
Formula for area of a triangle = length X width ÷ 2
so the equation would be (6 X 4) ÷ 2
which equals (24) ÷ 2
which is 12.
So the answer is 12
Four high school students are working on a math problem to find the solution to (2x - 3)² = 255. Each student got a different answer. The four answers were 4,6,8, and 9. Which of these number make the equation true?
Answer:
9
Step-by-step explanation:
[tex]15^{2} =255[/tex]
(2*9)-3
18-3=15
Help Plis................
Answer:
B should be where C is, C is A, and A is B
How can I use coordinates to find distances determine perimeter and geometric shapes
Answer:
Step-by-step explanation:
sketch it out
According to the eScience Lab Manual for Lab 1, Experiment 3, you need to prepare 65 ml of 60% soda/syrup prescription. To do this you can use the 80% soda solution and the syrup solution (0% strength) that you have in inventory. How many mls of soda solution do you need to create this final solution?
Answer:
16.25 mL
Step-by-step explanation:
Since we are mixing from the syrup in the inventory, we can say that the syrup in the inventory must be equal to that in the final solution. Thus, we will use the dilution equation to solve for the Initial volume;
Dilution equation is;
V₁C₁ = V₂C₂
Where;
V₁ is initial volume
C₁ is initial concentration or initial molarity
V₂ is final volume
C₂ is final concentration of final molarity
We are given;
C₁ = 80% = 0.8
C₂ = 60% = 0.6
V₂ = 65 mL
Making V₁ the subject in the dilution equation, we have;
V₁ = (V₂C₂)/C₁
V₁ = (65 × 0.6)/0.8
V₁ = 48.75 mL of inventory syrup
Since we have 48.75 mL of inventory syrup and the dilute solution is 65 ml, then the volume of soda solution required = 65mL - 48.75 mL = 16.25 mL
James bought a cabinet for $438.00. The finance charge was $49 and she paid for it over 18 months.
Use the formula Approximate APR =(Finance Charge÷#Months)(12)Amount Financed
to calculate her approximate APR.
Round the answer to the nearest tenth.
1.6%
1.7%
7.4%
7.5%
Answer:
7.5
Step-by-step explanation:
The Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12
years old for its performances. On a recent weekend evening when 551 people
paid admission, the total receipts were $ 9290. How many who paid were
children under 12 years old?
Let A = number of adult tickets, let C = number of child tickets
1. Using the variables A and C, write a system of linear equations that reflect the
above problem.
2. Solve the system of equations for both A and C.
3. How many tickets sold were for children under 12?
Answer:
197 adult tickets and 354 child tickets were sold for the event.
Step-by-step explanation:
Given that the Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12 years old for its performances, and on a recent weekend evening when 551 people paid admission, the total receipts were $ 9290, to determine how many who paid were children under 12 years old the following calculation must be performed:
22 - 14 = 8
551 x 14 = 7.714
9,290 - 7,714 = 1,576
1,576 / 8 = 197
551 - 197 = 354
197 x 22 + 354 x 14 = X
4.334 + 4.956 = X
Therefore, 197 adult tickets and 354 child tickets were sold for the event.
John made a kite with all four sides the same length, as shown below. What is the perimeter of the kite?
Answer:
There's no images attached
What is the area of the polygon below?
Answer:
area = 24 units squared
Step-by-step explanation:
area = 1/2 (base 1 + base 2) x height
area = 1/2 (4 + 8) x 4
area = 1/2 (12) x 4
area = 6 x 4
area = 24
Solve for n.
4n + 3 = 5(2 – 2n)
Answer:
n = 1/2 or .5
Step-by-step explanation:
4n + 3 = 10 -10n
14n = 7
n = 1/2 or .5
Hope this helps!
Answer:
n = -0.5
Step-by-step explanation:
4n + 3 = 5(2 - 2n)
First you multiply 2 and 2n by 5
4n + 3 = 10 - 10n
subtract 4n on both sides (meaning subtract 4n by itself on the left side of the equal sign and subtract 10n and 4n)
3 = 10 + 14n
Subtract 10 on both sides
-7 = 14n
Divide on both sides
Your answer should be n = -0.5 (or -0.5 = n)
Hope this helps!
NEED HELP QUICK PLEASE HELP
Answer:135
Step-by-step explanation:
[tex]area \: = {135}cm^{2} [/tex]
Step-by-step explanation:
[tex] \: from \: the \: diagram \: we \: have \: 3\: retangles \: \\ [/tex]
area of rectangle = L×B 1 rectangle = 3×2=62 rectangular = 4×2 =8
3 rectangle = (13-2) × (7+4)
= 11×11 =121
total area = 6+8+121=135
PLEASE HELP ASAP! Identify the shape that can be formed using the following net.
9514 1404 393
Answer:
A
Step-by-step explanation:
The only answer choice with 2 triangular faces and 3 rectangular faces is A, the triangular prism.
Answer:
A
Step-by-step explanation:
help please ! i need it asap & do not put any typa link .
Answer:
SU = 32 and <SVT = 32
Step-by-step explanation:
math, i am pretty sure about the angle and positive on the diagonal
Convert the following equation into
slope-intercept form.
x + y = -1
y = [? ]x+[ ]
Enter
ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP
Answer:
if I am wrong in any number please tell me but later because my mum if she finds me here I'll be in big trouble I have to go wash utensils I'll help you with the otherquestion later good day.
Answer: the person above me is correct
Step-by-step explanation:
WHICH HAT HELP THANK YOU WHICH HAT HELP THANK YOU
Answer:
They're both cool but I personally like the first one better lol
Write the equation for the circle with center (2, 4) and radius 7 in standard form
Answer:
Step-by-step explanation:
Let's get the equation first and then look at the circle when it has been graphed.
(x - 2)^2 + (y - 4)^2 = 7^2
(x - 2)^2 + (y - 4)^2 = 49
You will notice that the center of the circle has been marked and it is at (2,4) just as the question required.Another point has been added. It is at (2,11).It is the radius of the circle11 - 4 = 7 which is the radius that has been requestedgiven a correlation of 0.09 how would you describe this correlation (be sure to include positive/negative and strong/moderate/weak)rate weak
Answer:
Very weak
Step-by-step explanation:
the higher the correlation value (R²) the higher the strength of the correlation
As the earth revolves around the sun, it travels at a speed of approximately 18 miles per second. Convert this speed to kilometers per second. At this speed, how many kilometers will the earth travel in 2 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answer.
Answer:
i dont know have an amazing day
Step-by-step explanation:
be kind ppl
1. In order to draw a straight vertical line segment that is 4 units long, which point must be connected to (1, 2)?
A. (7,2)
B) (5,2)
C. (2,7)
D. (1,6)
Answer:
D. (1,6)
Step-by-step explanation:
Vertical line segment:
A vertical line segment has fixed x coordinate.
In this question:
Vertical line segment that is 4 units long and is connected to (1,2).
The x-coordinate is x = 1.
The y-coordinate can be y = 2 - 4 = -2 or y = 2 + 4 = 6.
(1,6) is one of the options, so the correct answer is given by option D.