Answer:
Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.
Step-by-step explanation:
A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent.
This means that the null hypothesis is:
[tex]H_{0}: p = 0.05[/tex]
Test if the check verification system is effective:
If it is effective, the proportion will decrease, so we are going to test if after the change the proportion is lower than 0.05, that is:
[tex]H_{a}: p < 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that
[tex]\mu = 0.05[/tex]
[tex]\sigma = \sqrt{0.05*0.95}[/tex]
After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent.
This means that [tex]n = 1124, X = \frac{45}{1124} = 0.04[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{1124}}}[/tex]
[tex]z = -1.54[/tex]
Pvalue of the test and decision:
Probability of finding a sample proportion lower than 0.04, which is the pvalue of z = -1.54.
Looking at the z-table, z = -1.54 has a pvalue of 0.0618.
Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.
Please help ! Please help! I will heart you !
Answer:
x = 65
Step-by-step explanation:
x + 115 = 180
x = 65
Answer:
65 degrees
Step-by-step explanation:
180-115=65 degrees
The line that 115 degrees is on is equal to 180.
yuri completed a race in 0.88 fewer seconds than Josie. Josie's time was 23.95 seconds. How l9ng did it takes Yuri to complete the race?
HELPPPPPPPP NOWWWWWWW
Zack has 13 chains at 5 links each. He wants to combine them into a long chain by cutting and welding the fewest number of links. How many different links must be cut a welded.
Answer:
3
Step-by-step explanation:
There a 5 chains (each with 3 links). We take one chain and cut all three links. Now we are left with only four chains. This requires only 3 joints. Exactly the number of links I have. Therefore, the lowest number of cuts is three.
The number of different links must be cut a welded should be considered as the 3.
Calculation of the number of different links:Since
Zack has 13 chains at 5 links each. He wants to combine them
So here we considered only one chain and then cut off all 3 links
So the remaining should be four chains and it needs only 3 joints.
hence, The number of different links must be cut a welded should be considered as the 3.
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-6(2p + 1) = -7p - 31
Answer:
P=5
Step-by-step explanation:
-6(2p + 1) = -7p - 31
Expand -6(2p+1)
Apply distributive law;
a=-6, b=2p, c=1
=-6*2p+(-6)*1
=-6*2p-6*1
Simplify; -6*2p-6*1
=-12p-6
-12p-6=-7p-31
Add 6 to both sides;
-12p-6+6=-7p-31+6
simplify;
-12p=-7p-25
Add 7p to both sides;
-12p+7p=-7p-25+7p
Simplify;
-5p=-25
Divide both sides by -5
-5p/-5=-25/-5
Simplify:
p=5
Answered by the One and Only #DrippQueenMo
Answer:
p=5
Step-by-step explanation:
first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.
Find the missing number if the following
subtraction is in base six
4 5 2
* * *
254
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The height of a cylinder is twice the radius of its base.
What expression represents the volume of the cylinder,
in cubic units?
2x
O4x?
О2лх
O x2 + 2x
O 2 + x
Answer:
I believe it should be C...............
Question
The value of y varies directly as the cube of u and y = 54 when I = 3. Find the equation that represents this relationship.
Answer:
2x^3
Step-by-step explanation:
The equation that represents this relationship will be y = 2u³.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The value of y varies directly as the cube of u. y = 54 when u = 3.
y ∝ u³
Removed the proportionality constant and place the equal sign with constant k.
y = ku³
Put y = 54 when u = 3, then the value of k will be
54 = k (3)³
54 = 27k
k = 2
Then the equation that represents this relationship will be
y = 2u³
The equation that represents this relationship will be y = 2u³.
More about the ratio and the proportion link is given below.
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plz help will give crown
Answer:
C
Step-by-step explanation:
Can I have crown
Look at the pattern shown below.
2, 4, 16, 256 ...
What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?
A. (F(n))^2
B. 2(f(n))
C. (F(n)-1)^2
D. 2(f(n)-1)
Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
[tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex][tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex]
So, for the [tex]n^{th}[/tex] term, the function is [tex]f(n)[/tex]
For the next term, it is [tex]f(n+1)[/tex]
So,
[tex]\Rightarrow f(n+1)=[f(n)]^2[/tex]
Which one is the correct answer..pls HELP a answer accurately..
Answer:
c
Step-by-step explanation:
$0.70 is the answer........
find equation of the line that contains the point (4,-2) and is perpendicular to the line y= _2x+8
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
9514 1404 393
Answer:
y = 1/2x -4
Step-by-step explanation:
We presume the given line is ...
y = -2x +8
This is in slope-intercept form, which allows us to determine easily that the slope of this line is -2.
A perpendicular line will have a slope that is the opposite reciprocal of -2:
m = -1/(-2) = 1/2
The y-intercept of the desired line can be found from the point (x, y) = (4, -2) using the equation ...
b = y - mx
b = -2 -(1/2)(4) = -4
Now, we know the slope and y-intercept of the desired perpendicular line through (4, -2), so we can write its equation as ...
y = 1/2x -4
__
Additional comment
"Slope-intercept form" is ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
Tinley is training to run a half-marathon. She sets a pace so that every mile takes
7 minutes.
Write an equation for the amount of time,
t, it takes Tinley to run
m miles.
Answer:
t=7m
Step-by-step explanation:
In this equation, "t" represents time, and "m" represents miles. Each mile is 7 minutes. To find how much time this run will take her, multiple the amount of miles she will run by 7.
For example:
If Tinley runs 13 miles you should do-
7(13)= 91
13 miles would take Tinley 91 minutes
What is the value of w?
Answer:
180 - 35 - 74 = 71 degrees is the angle value that is right next to 35 degree angle.
35 + 71 = 106
180 - 106 = 74.
So w = 74 degrees.
x = 5 what is 6x equal
Answer:
6 x 5= 30
Step-by-step explanation:
6(5)=30
Identify the sets that contain 2 as an element. (Check all that apply.)Check All That Apply{2, 3, 4, 5, ...}{2, 3, 4, 5, ...}{0, 1, 4, 9, ...}{0, 1, 4, 9, ...}{ 2, {2} }{ 2, {2} }{ {2}, { {2} } }{ {2}, { {2} } }{ {2}, { 2, {2} } }{ {2}, { 2, {2} } }{ { {2} } }{ { {2} } }
Question:
Identify the sets that contain 2 as an element. (Check all that apply.)
[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]
[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]
[tex]C.\ \{2, \{2\} \}[/tex]
[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]
[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]
[tex]F.\ \{\{\{2\}\}\}[/tex]
Answer:
[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]
[tex]C.\ \{2, \{2\} \}[/tex]
Step-by-step explanation:
Required
For which of the options is 2 an element
[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]
The elements of this set starts from 2, then 3 and continues as thus.
Hence: 2 is an element
[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]
From the given elements in the above set, 2 is not listed.
Hence: 2 is not an element of this set
[tex]C.\ \{2, \{2\} \}[/tex]
Here, 2 is listed as an element, 2 is also listed as a subset.
Since 2 is listed as an element, then 2 is an element of the set.
[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]
Here, 2 is listed as a subset of {2} and also as a subset of subset of {{2}}.
Since 2 is not listed as an element itself, then 2 is not an element of the set.
[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]
Here, 2 is listed as a subset of {2} and also as a subset of subset of {2,{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.
Hence: 2 is not an element of the set
[tex]F.\ \{\{\{2\}\}\}[/tex]
Here, 2 is listed as a subset of subset of {{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.
Hence: 2 is not an element of the set
Answer:
how
Step-by-step explanation:
If the domain of f(n) = -4n - 3 is (-1, 1/4, 4), what is the range?
{-1, 2, -19)
{-7.-4.-13)
{1, -4, -19)
Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $10.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
Answer:
Hours are equal: 7.2
Cost of service are equal: 51.4
Step-by-step explanation:
Happy Paws:
y = 4.5h + 19
Woof Watchers:
y = 5.75h + 10
To solve for the hours are equal:
y = 4.5h + 19
y = 5.75h + 10 (Multiply by -1)
y = 4.5h + 19
-y = -5.75h - 10
0 = -1.25h + 9
-9 = -1.25h
h = 7.2
To solve for when the services are equal:
y = 4.5h + 19
y = 4.5(7.2) + 19
y = 32.4 + 19
y = 51.4
please help me
is important
Answer:
1, 2, 3, 1
Step-by-step explanation:
In a line plot, the results are lined up, in order. The number of dots above a number correlates to how many times that result, number was the result.
Just count how many times that number appears. Also see if you can simply ant fractions.
What is the volume of the rectangular pyramid ?
14 ft
9.5 ft
15 ft
9.5 ft
Step-by-step explanation:
trust in me pls I am serious this is the right answer
Paula runs a stable. 20 horses currently board at the stable, and 8 of them are bay.
What is the probability that a randomly chosen horse will be bay?
Write your answer as a fraction or whole number.
p ( bay ) = ?
Answer:
40% chance
Step-by-step explanation:
Take the number of horses total and divide the number of bay horses.
In 1980 more than 35% of cars purchased had a manual transmission (i.e. stick shift). By 2007 the proportion had decreased to 7.7%. A random sample of college students who owned cars revealed the following: out of 133 cars, 31 had stick shifts. Estimate the proportion of college students who drive sticks with 90% confidence. Use a graphing calculator and round the answers to at least three decimal places. <
Answer:
The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of college students who owned cars revealed the following: out of 133 cars, 31 had stick shifts.
This means that [tex]n = 133, \pi = \frac{31}{133} = 0.233[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 - 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.173[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 + 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.293[/tex]
The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).
please help me.......................
Answer:
do away withTrue[tex] \infty \infty [/tex]
4. Dominick sent the following number of text messages each day over the last week:
SUN
MON
TUES
WED
THURS
FRI
SAT
64
58
63
51
60
61
70
What is the mean absolute deviation?
Explain what the mean absolute deviation represents in the situation:
Can somebody please help me with this whoever answers first gets a thanks and can you be quick please ❤️
A (-12, 14)
B (8, 8)
C (-12, -4)
D (0, -14)
E (14, 0)
F (0, 0)
Answer:
A (-12,14)
B ( 8,8)
C (-12,-4)
D (0,-14)
E (14,0)
F (0,0)
Step-by-step explanation:
(X,Y)
X coordinates go before Y coordinates in a given coordinate pair hope this helps!
NO LINKS
Mark wants to put a circular pool in his backyard. The pool has an area of 379.94 square feet. If his backyard is 10 x 15 feet, will the pool fit? Use 3.14 for pi
Answer:
no, the backyard is only 150 square ft. so a pool with an area of 379.94 square ft will not fit
Step-by-step explanation:
10×15=150
how many squre deet of outdoor carpet will we need 11ft 3ft 2ft 3 ft
Answer:
39 sq feet
Step-by-step explanation:
a certain colony of bacteria begin with one cell and the population doubles every 20 minutes. What was the population of The Colony after 2 hours?
a. 6
b. 12
c. 32
d. 64
The population of The Colony after 2 hours is d. 64
How to determine the population?The given parameters are:
Initial, a = 1
Rate, b = 2 every 20 minutes
An exponential function is represented as:
y = ab^x
So, we have:
y = 1 * 2^x
y = 2^x
There are six 20 minutes in 2 hours.
This means that:
x = 6
So, we have:
y = 2^6
Evaluate
y = 64
Hence, the population of The Colony after 2 hours is d. 64
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Explain the different ways you can name an angle. What are the different names for this angle?
Step-by-step explanation:
Hi,
This is an acute angle.
RST, STR, and TRS are the three different ways to represent/name this angle.
I hope this helps :)
Workout the probability that spinner A lands on 2 and spinner b does not land on b
Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem
Answer:
4 / 15
Step-by-step explanation:
For the numbered spinner :
P(landing on 2) = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3) = 3
Required outcome = (1) = 1
P(landing on 2) = 1 /3
Lettered spinner :
P(does not land on b)
Total possible outcomes = (A, B, C, D, E)
Required outcome = (a, c, d, e)
P(does not land on b) = 4 / 5
Hence,
P(lands on 2, does not land on b) in this scenario is :
1/3 * 4/5 = 4 / 15
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