Answer:
Given:
Sample size, n = 6965
Sample proportion p' = [tex] \frac{1330}{6965} = 0.19 [/tex]
Let's claim that the return rate is less than 20%, ie, P = 0.2
Significance level = 0.01
The null and alternative hypotheses:
H0 : P = 0.2
H1 : P < 0.2
Option A is correct
_____________________________
For the test statistic, Z, let's use the formula:
[tex] Z = \frac{p'- P}{\sqrt{\frac{P(1-P)}{n}}} [/tex]
[tex] = \frac{0.19 - 0.2}{\sqrt{\frac{0.2(1 - 0.2)}{6965}}} = -1.887 [/tex]
Z = -1.887 ≈ -1.89
___________________________
The p-value.
This is a left tailed test.
Using z table,
P-value = P(Z ≤ -1.89) = 0.029
The pvalue is 0.029
Decision:
Because the pvalue, 0.029 is greater than level of significance, 0.01, we fail to reject null hypothesis, H0.
Conclusion:
There is not enough sufficient evidence to conclude that the return rate is less than 20%
75% of the temperatures are below what value? How do you know? 75% of the temperatures are above what value? How do you know? What conclusions can you draw about the temperature in Maryland?
Answer:
Complete Question:
Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.
a. Create a box-and-whisker plot for the data.
b. What is the median temperature?
c. 75%of the temperatures are below what value?How do you know? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland?
Step-by-step explanation:
TASK 3
The city picked is Baltimore, the year 2017.
The table is attached in picture #1.
a) The box-and-whisker plot is attached in picture #2.
b) The median is the central value of the distribution i.e:
42.4, 45.3, 46.8 | 54.7, 57.6, 66.0 | 69.1, 76.5, 80.6 | 85.8, 87.8, 90.0
where we marked with a tally the quartiles.
As we have 12 values, the average between the two central values will be the median :
M = (66.0 + 69.1) / 2 = 67.1 °F
c) 75% of the temperatures are below 83.2 °F.
Indeed, this value represents the third quartile. The position of the third quartile can be found by the formula:
3/4 · (n + 1) = 3/4 · (12 + 1) = 3/4 · 13 = 9.75
Therefore, since we did not get in integer position, the third quartile will be the average between the numbers in position 9 and 10:
q₀.₇₅ = (80.6 + 85.8) / 2 = 83.2 °F
d) 75% of the temperatures are above 50.8 °F.
Indeed, this value represents the first quartile. Similarly to point c), the position can be found by the formula:
1/4 · (n + 1) = 1/4 · 13 = 3.25
And therefore:
q₀.₂₅ = (46.8 + 54.7) / 2 = 50.8 °F.
e) Baltimore in 2017 had a median high temperature of 67.1 °F.
25% of the year the high temperatures were warmer than 83.2 °F, with no outlier above 90.0 °F which was the hottest temperature.
25% of the high temperatures were colder than 50.8 °F, with no outlier below 42.4 °F, which was the coldest high temperature.
What is the measure of angle GFD?
40°
50°
80°
90°
Answer:
40
Step-by-step explanation:
i took the test and got it right.
Answer:
Its A on edge 40 degrees
Step-by-step explanation:
Fill in the missing number.
(X-4)(x+9)= x2 + ?x - 36
Answer:
5
Step-by-step explanation:
By multiplying the binomials, you get the expression x² + 9x - 4x - 36. Simplify by combining like terms to get x² + 5x - 36. 5 is our missing number and is the coefficient of our x variable.
How to find the distance from one corner to another in a 3D box
Answer:
a²+b²+c²
for cuboid
Answer:
i dont understand your question.
Step-by-step explanation:
the highest common factor of 98 and 42
Answer:14
Step-by-step explanation:Start by writing like this below
98 =2×7×7
42 =2×3×7
H.C.F=2×7
=14
Take the number which is common like in 98 and 42, (2) and (7) are common
and then multiply the two numbers.
Hope it helps you!
Answer:
Step-by-step explanation:
98 = 2 * 7 * 7
42 = 2 * 7 * 3
Highest common factor = 7
HCF of two or more numbers is the greatest number which divides each of then exactly
Solve for g.
8g + 3 = –6g + 13g + 13
Answer: g = 10
Step-by-step explanation: 8g + 3 = –6g + 13g + 13
8g + 3 = (–6g + 13g) + (13)
8g + 3 = 7g + 13
8g + 3 - 7g = 7g + 13 - 7g
g + 3 = 13
g + 3 - 3 = 13 - 3
g = 10
Answer:
[tex]8g + 3 = -6g + 13g + 13 : g = 10[/tex]
Step-by-step explanation:
[tex]8g+3=-6g+13g+13[/tex]
Add similar elements: [tex]-6g+13g=7g[/tex]
[tex]8g+3=7g+13[/tex]
Subtract [tex]3[/tex] from both sides:
[tex]8g+3-3=7g+13-3[/tex]
Simplify:
[tex]8g=7g+10[/tex]
Subtract [tex]7g[/tex] from both sides:
[tex]8g-7g=7g+10-7g[/tex]
Simplify:
[tex]g=10[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
Solve the equation 1.2x = 5.16 for x
Answer:x=4.3
Step-by-step explanation:
Step 1: Divide both sides by 1.2
1.2x/1.2=5.16/1.2
X=4.3
Hope I helped
Answer:
X=4.3
Step-by-step explanation:
I literally guessed some random numbers and got it right. You can trust me tho. It’s right.
Find the slope of the line going through the points (1, 2) and
(0,8).
Answer: The slope is -6.
Step-by-step explanation:
(1,2) (0,8)
2-8= -6
1-0= 1
-6/1= -6
Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge the same prices. Will's Watersports made a total of $780 from renting 12 jet skis and 9 kayaks. Family Fun Rentals made a total of $570 from renting 7 jet skis and 11 kayaks. What is the cost of each type of rental?
Answer:
To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Step-by-step explanation:
Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:
Will's shop:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570
[tex]\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\[/tex]
We can isolate "x" on the second equation, we have:
[tex]x = \frac{570 - 11y}{7}[/tex]
Applying this value on the first equation:
[tex]12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20[/tex]
Applying the value of "y" we found on the "x" equation above, we have:[tex]x = \frac{570 - 11*20}{7}\\x = 50\\[/tex]
Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
PLEASE HELP ME ASAP
Find the value of x.
Answer:
x=130
Step-by-step explanation:
Find the base angles of the isosceles triangle: 2y+50=180
2y=130
y=65
x=2(65)=130
Therefore, x=130
I hope this helped and have a good rest of your day!
2y+50=180
2y=130
y=65
x=2(65)=130
answer= x=130
give brainliest to the top of me NOT ME
can someone help ???
A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.
show work plz thanks!
Theoretical Probability Compound Events
Answer:
5/33
Step-by-step explanation:
five apples and seven peaches = 12 total
P( apple) = number of apples / total
= 5/12
No replacement since you ate it
four apples and seven peaches = 11 total
P( peach) = number of peach / total
= 4/11
P(apple, no replacement, peach) = 5/12 * 4/11 = 5/33
A circular flower bed is 22 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi
Answer:
326.6 m^2
to nearest tenth.
Step-by-step explanation:
The radius of the flower bed = 1/2 * 22 = 11m
The radius of the whole area included the sidewalk = 11 + 4 = 15 m
So the area of the sidewalk = area of the whole - area of flower bed
= 3.14 * 15^2 - 3.14* 11^2
= 326.6 m^2.
please help me i am desperate please (1/3)
I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?
I'll do the first page.
6)
Right triangle, opposite side of 10, adjacent side of 21,
tan x = opp/adj = 10/21
x = arctan 10/21 = 25.46°
Answer: 25
7)
cos x = adj / hyp = 10/14
x = arccos 10/14 = 44.42°
Answer: 44
8)
tan x = opp/adj = 12/24 = 1/2
x = arctan 1/2 = 26.57°
Answer: 27
9)
tan x = 31/32
x = arctan 31/32 = 44.09°
Answer: 44
10)
x = arctan 10/27 = 20.32°
Answer: 20
The point-slope form of a line that has a slope of
of 1
and passes through the point (3, 0) is shown.
y-0 = 2(x - 3)
What is the equation in slope-intercept form?
O y=-x-3
1
12
» Intro
Answer:
Step-by-step explanation:
y-0=1(x-3)
y=x-3
4. Nguyen is decorating the room for her sister's baby shower party. She is wrapping
Vietnamese conical hats in baby prints tissue paper to decorate the tables and some
shelves in the wall. Each hat has a diameter of 16 inches and a height of 9 inches. If
she wants to wrap 21 Vietnamese hats, how much tissue paper will she need?
A 4,176 in2
B 8,975 in2
C 10,580 in2
D 36,267 in 2
Answer:
Step-by-step explanation:
Given the information of the conical hat
diameter of 16 inches => Radius = 8 inches height of 9 inches=> the slant height of the hat is (use Pythagorean Theorem)
[tex]s^{2}[/tex] = [tex]r^{2} + h^{2}[/tex]
<=> [tex]s^{2}[/tex] = [tex]8^{2} + 9^{2}[/tex]
<=> s = [tex]\sqrt{145}[/tex]
The area (without the base area) of tissue paper will she need to make one hat is:
SA = πrs in2
<=> SA = π*8*[tex]\sqrt{145}[/tex] in2
<=> SA =8 [tex]\sqrt{145}[/tex] π
=> the total tissue paper will she need for 21 hats is:
SA*21
= 8 [tex]\sqrt{145}[/tex] π*21
= 6352,18 in 2
The units pf the digits of a two digits numeral is 8 if the digits are reversed the new number is 18 greater than the oringal number fund the oringal numeral
complete question:
The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?
Answer:
The original number is 10a + b = 10 × 3 + 5 = 35
Step-by-step explanation:
Let
the number = ab
a occupies the tens place while b occupies the unit place. Therefore,
10a + b
The sum of the digits of two-digits numeral
a + b = 8..........(i)
If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.
Therefore,
10b + a = 18 + 10a + b
10b - b + a - 10a = 18
9b - 9a = 18
divide both sides by 9
b - a = 2...............(ii)
a + b = 8..........(i)
b - a = 2...............(ii)
b = 2 + a from equation (ii)
Insert the value of b in equation (i)
a + (2 + a) = 8
2a + 2 = 8
2a = 6
a = 6/2
a = 3
Insert the value of a in equation(ii)
b - 3 = 2
b = 2 + 3
b = 5
The original number is 10a + b = 10 × 3 + 5 = 35
Write each of the following expressions without using the absolute value sign. |x−4| if x>4
Answer:
x-4
Step-by-step explanation:
|x−4| if x>4
That means x-4 is always positive since x> 4
x-4
what are all the key features of parabola
Answer:
A parabola has a vertex. The vertex is the point of a parabola where it changes direction. It also has an axis of symmetry which is an imaginary line that cuts it in two equal parts. A parabola may have x-intercepts ("zeros") which are points where the graph cross the x-axis. It may have x-intercepts which are points where the graph cross the x-axis.
Write an equation for the nth term of the geometric sequence below: (Equation NEEDS to be written as gn=7(5)^(n-1) or as gn=2/3(1/4)^(n-1) NOTICE NO SPACES & using ^ to represent an exponent)
Answer:
You didn't give the geometric sequence in question.
But to find the nth term of a geometric sequence, use the formula
Sn = ar^(n - 1)
Where a is the first term of the sequence
r is the common ratio of the sequence.
Example: To find the nth term of the geometric sequence
1/2, 1/4, 1/8, 1/16, ...
Here, a = 1/2
r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.
Sn = (1/2)(1/2)^( n - 1)
Apply this method to the sequence you were given, it will be helpful.
How many unique ways are there to arrange the letters in a word OPAL.
Answer:
24.
Step-by-step explanation:
We can use the factorial function to find the number of unique arrangements in a word.
There are 4 unique characters in 'OPAL'. As such, 4! = 24.
In the case that there were repeating characters, such as 'OPALA', then we would divide by the factorial of the number of repeating letters. That looks something like this:
[tex]\frac{5!}{2!} = 60[/tex]
Hope this helped.
Answer:
i think 24 beacuse opal has 4 letters and then u mutiply it by 6 and get 24
Step-by-step explanation:
percent of increase from 43 to 78
I need help plz
Answer: about 81.395%
Step-by-step explanation:
1) Subtract 78 - 43 to find the difference. ==> 35
2) Divide the increase by the original number, 43. ==> 35/43 = 0.8139534884
3) Multiply the answer by 100. ==> ~81.395%
BASICALLY: % increase = Increase ÷ Original Number × 100.
Write a division problem such that the quotient is the same as 3/8÷3/5
Answer:
[tex]\frac{5}{2}[/tex] ÷ [tex]\frac{20}{5}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] ÷ [tex]\frac{3}{5} =\\[/tex]
[tex]\frac{3}{8} *\frac{5}{3} =[/tex]
[tex]\frac{15}{24} = \frac{5}{8}[/tex]
So we need a division problem that equals [tex]\frac{5}{8}[/tex]
[tex]\frac{5}{8} =\frac{25}{40}[/tex]
[tex]\frac{5}{2} *\frac{5}{20}[/tex]=
[tex]\frac{5}{2}[/tex] ÷ [tex]\frac{20}{5}[/tex]
Answer:
Step-by-step explanation:When we divide this we got . First we need to check if we can divide numerator by numerator, denominator by denominator. We can not. Then we multiply first fraction by other but in other we use reciprocal value.
Liam bought 11/8 cups of carrots. If Liam eats 2/8 cup in a serving, how many servings did Liam buy
Answer:
13/8
Step-by-step explanation:
11/8 plus 2/8 that's he ate equals 13/8
PLEASE HELP!
What is the first step in drawing a 40° angle?
A.Line up the ray with the baseline and origin on the protractor
B. Draw a mark on the paper at 40°
C. Draw a ray
D. Draw a ray connecting the vertex and the mark
Answer:
C. Draw a ray
Step-by-step explanation:
The first step in constructing an angle - or copying one - is to draw a ray. Then, you will use a protractor, compass, straightedge, etc.
Answer:
C draw a ray
Step-by-step explanation:
PLEASE HELP ME
Find the value of y. Use 3.14
Answer:
Answer is 11.046
Explanation :
The formula is pie × r² × height
If you don't understand.. Lemme know ya
what is 4738.46÷ by 4930.92
please i really need help :( please help me please if you are online
Answer: 4738.46 ÷ by 4930.92=0.960968744
You can use online calculators
Answer: 0.960968744
Step-by-step explanation: 4738.46/4930.92
= 0.960968744
A normal distribution has mean and standard deviation . Find the indicated probability for a randomly selected x-value from the distribution P (x > +3)
Answer:
0.0228
Step-by-step explanation:
Let us assume that the mean (μ) = 2 and the standard deviation (σ) = 0.5
Z score is a standard score used to measure the number of standard deviations by which the raw score (x) is above or below the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For x > 3
[tex]z=\frac{x-\mu}{\sigma} =\frac{3-2}{0.5}=2[/tex]
From the normal distribution table, P(x > 3) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228
m-15=-5
URGENT PLEASE HELP!!
m minus fifteen equals negative five!!
(find m)
Answer:
m-15=-5
m=15-5
m=10
when you take the-15 over it becomes positive and the negative remains giving you 15-5
when you work it out 10-15=-5
Which is 0.54 delete converted to a simplified fraction
As a fraction it would be 54/100