A rectangular garden measures 26ft by 37ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent. 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. Does this sample provide sufficient evidence at the .01 significance level that the check verification system is effective
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.
what is the approximate length of hypotenuse with a 35 degree angle and one leg is 12
Answer:
37
Step-by-step explanation:
35^2+12^2=37
would anoyone be willing to help
Sure, what do you need help with?
What is 73 as a decimal?
Answer
Step-by-step explanation:
A line passes through the point (6,-4) and has a slope of 3/2 I Write an equation in point-slope form for this line.
Answer:
y-4=3/2(x+4)
Step-by-step explanation:
If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).
HOPE THIS HELPS
What is the slope of the line in the graph?
Which input value produces the same output value for the two functions on the graph?
Answer:
x=3
Step-by-step explanation:
Please make sure to add more information to the question next time. I had to do some research to find which question you are talking about. I hope this is one of the answer options because you didnt provide any of the answer options. Thanks :)
the intersection of the two lines of a function both equations have the same x and y
therefore,
x=3
Joaquin gets paid every Friday. His paychecks for the past 8 fridays were $324, $245.25, $245.25, $245.25, $324,$324,$245.25 and $402.75 find the median
Answer:
284.625
Step-by-step explanation:
Arrange the numbers highest to lowest.
Find the middle value in the arrangement.
Your answer
PLS SOMEONE HELP AND NO LINKS PLS
Answer:
71
Step-by-step explanation:)
Solve this system of equations by substitution.
y = 4x
2x + y = 6
3% as a fraction
a- 1/50
b-3/100
c-30/100
Answer:
b
Step-by-step explanation:
Answer:
The answer is b
Step-by-step explanation:
100 represents a whole amount so the numerator would be 3 over 100 because it is 3% out of a total of 100.
Is 3 tens more than 25 ones
Answer:
yes ofc boiiiiii 3 tens=30 ones boiiii and 25 ones=2 tens and 5 ones boiiiii
Step-by-step explanation:
Can somebody please help me!!!!!
Answer:
Varies
Step-by-step explanation:
What this question is asking you to do is to measure the angle of the blue dot and find the 90 degree angle, so you need to get a protractor and measure the 90 degree angle in order to get the answer
Answer:
Step-by-step explanation:
I need help please. aaaaaannnnnnnnndddddddddd thannkyou
Answer:
7:58
Step-by-step explanation:
The little hour hand is a bit past the 7. The long minute hand is closest to 12, which is 60 minuets. Just look the the mark that the little hand points at.
Hey I have tests tmrw that determine wether or not i can go to highschool and ive been struggling with my classes do yall know any websites that provide sample tests and such
Answer:
Umm, it test to go into high school is pretty simple
Step-by-step explanation:
Just go with your gut, because its very simple, believe in your self and don't double guess yourself! I believe in you, and Good Luck!
Ps. here is a amazing math solver that solves most of your math problems
https://www.symbolab.com/solver/step-by-step/42%20%2B%207x%20-%5Cleft(2x%20-38%5Cright)%3D0
Test Pythagorean Theorem
> Chemistry: Periodic Table of Elen
Х
learning.k12.com/d21/le/enhancedSequenceViewer/1425828?url=https%3A%2F%2Fe0271165-1353.40b6-af9b-349f7ff846bd.sequences.api.brightspace.com%2F14... ☆
K12 K12.com KAR OLS Login RMy Info K12 Customer Supp. > Class Connect LogMeln 123 Microsoft Office 365
ck to Content
Unit Test: Pythagorean Theorem
UNIT TEST:
Pythagorean Theorem
Reading Off
Calculator
ABCD is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters.
What is the length of the other leg?
Enter your answer, as a decimal rounded to the nearest tenth, in the box
Answer:
11.31 cm
Step-by-step explanation:
you got the k12 link to
plus you wanna get on my animal crossing island
the dodo code is 98GVY
35=11x. i need help
Answer:
x= 35/11
Step-by-step explanation:
steps
35 = 11x
swich sides
11x = 35
Divide both sides by 11
11x/11 = 35/11
simplify
x = 35/11
Let f(x) = square root 7x and g(x)= x-5. whats the smallest number that is in the domain of f ° g ?
check the photos they have the answer
Which of the following are ordered pairs for the equation y = 1/2x + 2?
Answer:
Some ordered pairs could be (0,2) and (2,3).
Step-by-step explanation:
Hope this helps!!
Express the quantity "14 revolutions per second" in radians per second. Write your
answers in terms of a
A. 28n rad/sec
C. 18n rad/sec
B. 52n rad/sec
D. 32n rad/sec
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
A).28n rad/sec
Please SHOW YOUR WORK!
Thanks In Advance, Will Mark Brainliest!
What is the domain of the function
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
i think its 28.27
Step-by-step explanation:
Step-by-step explanation:
[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]
Volume = 3.14×2.25×4 = 28.26 yd³
Exercise 11.1.2: Find the next permutation in lexicographic order. About For each permutation of {1, 2, 3, 4, 5, 6, 7}, give the next largest permutation or indicate that the permutation is the last one in lexicographic order. (a) (1, 2, 3, 4, 5, 6, 7) (b) (7, 6, 5, 4, 3, 2, 1) (c) (1, 7, 6, 4, 2, 3, 5) (d) (3, 7, 6, 5, 4, 2, 1) (e) (5, 4, 7, 6, 3, 2, 1)
Solution :
A permutation in the field of mathematics may be defined as the arrangement of its members into a linear order or a sequence. However, if a set is already being ordered, then it is the rearrangement of the elements of the set.
In the context, the next largest permutation set is :
a). (1,2,3,4,5,6,7)
b). The given permutation is the last one in the lexicographic order.
c). (1,7,6,4,2,5,3)
d). (4,1,2,3,5,6,7)
e). (5,6,7,4,3,2,1)
The next permutation in lexicographic order will be (5,6,7,4,3,2,1).
What is a permutation?
It should be noted that a permutation in the field of mathematics where there are several possible ways in which numbers or things can be ordered or arranged.
When applied to numbers, the lexicographic order is increasing numerical order. This is an increasing numerical order from left to right). For example, the permutations of {1,2,3} in lexicographic order are 123, 132, 213, 231, 312, and 321
In the context, the next largest permutation set is (5,6,7,4,3,2,1).
Learn more about permutations on:
https://brainly.com/question/1216161
For the following system, if you isolated x in the second equation to use the subsition method, what expression would you subsitute into the first equation?
2x + y = 8
-x - 3y = -12
A. 3y + 12
B. -3y + 12
C. 3y - 12
D. -3y - 12
graph the line by plotting any two ordered pairs that satisfy the equation.
[tex]y = \frac{4}{3} x - 4[/tex]
One of the ordered pairs must be Y Intercept.
Points to the person who explains step by step, start to finish. Please note the correct set of ordered pairs is not random x to get y, or random y to get x variables. I tried that already and it was marked wrong.
Answer:
(0,-4)
(3,0)
Step-by-step explanation:
Let start at the orgin.
This is a linear equation since the equation is in the form of
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept.
Since we starting at the orgin, and b is our y intercept.
Our first point is
(0,-4).
since the slope is 4/3.
We would rise 4 from the y value and run 3 to the x value.
In other words, to find your second point, go up 4 units from the first point and move to the right 3 units.
So our next point is at
(3,0).
U can continously go up 4 units and move 3 units to the right to find other points.
1. Which of the following sets of integers is arranged in order from LEAST to GREATEST?
Oi-1.5 - 9
O (1. - 5. - 10)
O (12. - 8,0)
O { - 13. - 12,9)
Answer:
Last option:
(-13, -12, 9)
Step-by-step explanation:
Here you need to look at a number line.
(an infinite line with the zero in the middle, at the left we have the negative numbers which increase to the left, and at the right, we have the positive numbers that increase to the right)
for any two pair of numbers in the number line, the number at the right is larger than the number at the left.
So for example, -10 is at the left of -3
Then:
-10 < -3.
Then a set is ordered from least to greatest if:
first we have the largest negative numbers
then the smaller negative numbers
then the zero (if there is a zero)
then the smaller positive numbers
then the largest positive numbers.
The only set that meets this condition is the last one:
(-13, -12, 9)
Why the others not meet this condition?
in the first one we have -9 after 5, and we know that -9 < 5
in the second one we actually have an order from greatest to least.
in the third one we have -8 at the right of 12, and we know that -8 < 12
The measures of two complementary angles are in the ratio 7:3. What is the measure of the smaller angle?
what is the surface area? 4 mm. 4 mm
4 mm
Answer:
So its hard to tell if you want the answer to the SA of 4mm x 4mm x 4mm or the image but I did the mm one.
I got 9216 mm I wasn't sure if you need them converted to any other measurement.