Answer:
The null hypothesis is [tex]H_0: \mu = 6658[/tex]
Tha alternate hypothesis is [tex]H_a: \mu > 6658[/tex]
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is evidence to conclude that these households paid more interest than the survey result.
The test statistic is [tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
Step-by-step explanation:
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. Test if it is reasonable to conclude that these households paid more interest than the survey result.
At the null hypothesis, we test if they paid the same, that is:
[tex]H_0: \mu = 6658[/tex]
At the alternate hypothesis, we test if they paid more, that is:
[tex]H_a: \mu > 6658[/tex]
Test statistic:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
State the decision rule for 0.05 significance level.
Right-tailed test(test if the mean is higher than the value) with 12 - 1 = 11 degrees of freedom, has a critical value of t = 1.976.
So
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no reasonable evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is reasonable evidence to conclude that these households paid more interest than the survey result.
6658 is tested at the null hypothesis:
This means that [tex]\mu = 6658[/tex]
Sample mean and standard deviation:
With the given data-set:
Mean of [tex]X = 7163.6[/tex]
Standard deviation of [tex]s = 902.25[/tex]
Sample of 12:
This means that [tex]n = 12[/tex]
Compute the value of the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{7163.6 - 6658}{\frac{902.25}{\sqrt{12}}}[/tex]
[tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
The universal set is the set of rational numbers. S is the set of integers.
Which represents SC?
{x|x is a real number}
{x|x is a rational number}
{x|x is a rational positive number}
{x|x is a rational non-integer}
Answer:
It's D on EDGE
Step-by-step explanation:
The compliment of the set S is {x|x is a rational non-integer}
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the universal set be represented as U
where the value of U is
U = {x|x is a rational numbers}
And , let the second set be represented as S,
where S = {x|x is an integer}
Now , the compliment of set S is given by = S'
And , S' = 1 - S
On simplifying , we get
S' = 1 - {x|x is an integer} and it belongs to U
So , S' = {x|x is a rational non-integer}
Hence , the set is S' = {x|x is a rational non-integer}
To learn more about union and intersection of sets click :
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PLease Help help Help
Answer:
98.1 square units
Step-by-step explanation:
know you need it quick
Elena is knitting a design on a sweater. The first row has 10 stitches and each
additional row has 7 stitches more than the row before it. How many stitches are in
the 12th row?
A.74
B.70
C.87
S.86
Answer: 87
Step-by-step explanation:
This will be solved using an arithmetic progression. The formula will be:
= a + (n - 1)d
where,
a = first term = 10
d = common difference = 7
n = 12
Therefore, 12 term will be:
= a + (n - 1)d
= 10 + (12 - 1) × 7
= 10 + (11 × 7)
= 10 + 77
= 87
Therefore, the number of stitches that are in the 12th row will be 87.
Tessellations
Rotate the parallelogram 180° clockwise about point Q.
Please select the best answer from the choices provided
Answer:
D.
Step-by-step explanation:
I calculated it logically
Find the volume of a pyramid with a square base, where the perimeter of the base is
19.9 in and the height of the pyramid is 14.3 in. Round your answer to the nearest
tenth of a cubic inch.
Answer:
118.0 in^3
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 6.5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?
what is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)
Answer:
Option C (2.5, 1) is the right alternative.
Step-by-step explanation:
The given points are:
A = (-1, 5) = (x₁, y₁)
B = (6, -3) = (x₂, y₂)
Now,
The midpoint on X-axis is:
= [tex]\frac{x_1+x_2}{2}[/tex]
= [tex]\frac{-1+6}{2}[/tex]
= [tex]\frac{5}{2}[/tex]
= [tex]2.5[/tex]
The midpoint on Y-axis is:
= [tex]\frac{y_1+y_2}{2}[/tex]
= [tex]\frac{5+(-3)}{2}[/tex]
= [tex]\frac{5-3}{2}[/tex]
= [tex]\frac{2}{2}[/tex]
= [tex]1[/tex]
Thus the midpoint of AB is "2.5, 1".
use a flowchart to prove if the triangles in each pair are congruent. NO LINKS!!!!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.
In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.
the answer is x=4 4(2×8)
the table below shows the distribution of students in Mrs. boxer 6th grade class what is the ratio of the number of girls to the total number of students ? * it is 15 boys and 12 girls. Write each ration as a fraction
Answer:
Ratio is 12:27 ratio as a fraction is 12 over 27
Step-by-step explanation:
no need for explaination lolz
PLZ HELP FIRST RIGHT GETS BRAINLEST
A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?
Answer:
[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]
(see explanation)
Step-by-step explanation:
This problem is asking about compound probability, what is the probability of this even happening three times in a row.
Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,
[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]
In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.
[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]
Simplify,
[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]
[tex]\frac{9}{78}[/tex]
BRAINLIEST
PLEASE HELP
10PTSS
A scale drawing of Julie's living room is shown below:
If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?
Match the equation below with the following graph.
In the "magic square" at the right, the four numbers
in each column, in each row, and in each of the two
diagonals, have the same sum. What value should N
have?
URGENT PLEASE HELP DUE ON THURSDAY 5/27/2021
Answer:
15
Step-by-step explanation:
Pwease help i will give you brain thing if its correct ♡
Answer:
1. 54 = 0.6x
2. 90 dollars (see below)
Step-by-step explanation:
54 = 0.6x
0.6 is the decimal equivalent of 60%
Divide both sides by 0.6:
54/0.6 = 0.6x/0.6
90 = x
How do I get the answer
Answer:
-9Step-by-step explanation:
[tex] - |3a + \sqrt{b} | [/tex]
By putting the values of a = -4 , b = 9,
[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]
[tex] = - | - 12 + 3| [/tex]
[tex] = - | - 9| [/tex]
= -(9)
= -9 (Ans)
please help me !!!!!!
Answer:
okay!
Step-by-step explanation:
its B
Answer:
C)
Step-by-step explanation:
option—B&Dwe eliminate these two options
because remember quadratic function standard form
[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]
recall that, if
a is negative then the graph will flip upside downbut a is positive so it won't flip upside down therefore,
these two are our answer
option-A:it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:
option-C:it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so
likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so
hence our answer is C
Hannah Borjas
What is the perimeter of the rectangle?
TH
65 feet
55 feet
A 240 feet
B 130 feet
с
3,575 feet
D
120 feet
How many millimeters are in 3.4 liters?
Answer:
3400 milliliters
Step-by-step explanation:
A field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?
Constant of Variation
State the relationship between the graphs of f(x) and g (x)
f(x) = -5/x, g )x) 5/x
a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Please select the best answer from the choices provided.
Answer:
B. f and g are reflections of each other about the y-axis.
Step-by-step explanation:
I calculated it logically
Please help fast..........
Answer:
Where's the picture?
find the value of X and please show your work.
Answer:
x= -22
Step-by-step explanation:
3x=5x+44
subtract 2x from both sides and leave only x on one side 3x(-2x)=5x(-2x)+44
then you get
x=3x+44
then you subtract the 3x to both sides
x(-3x)=3x(-3x)+44
then you get
-2x=44
and divide 2 on each side so-
x= -22
eric has 20 toy trains. Tommy has 3 times as many. How many toy trains does tommy have?
Answer:
20 times 3, do the math and you get
Answer:
60
Step-by-step explanation:
20x3=60 ............
What is p(3) and p(3) when spinning the spinner shown at the right twice (fraction) ?
Answer:
1/49
Step-by-step explanation:
There are 7 possible outcomes, so the probability that the spinner lands on 3 twice is (1/7) * (1/7) = 1/49
22/33 = a/24 sovle the proportion
Jeremy was saving $8 per week.
How many weeks would it take him to save $124?
set n as the value of weeks jeremey needs to save
so jeremy needs to save 8n = 128
so n =[tex]\frac{128}{8}[/tex] = 16 weeks
Help Give brainliest quickly
Answer:
I think the answer is forth one
Tell whether the ordered pair is a solution of the inequality.
3x + 3y 5 -6: (-1,-4)
step by step explanation
help
Answer:
(-1, -4) is a solution
Step-by-step explanation:
3x + 3y ≤ -6
plug in point (-1, -4)
3(-1) + 3(-4) ≤ -6
-3 + -12 ≤ -6
-15 ≤ -6 true
(-1, -4) is a solution
Find the quotient: 5 1/7 ÷ 3
Answer:
12 /7
Step-by-step explanation:
theres no quotient
Answer:
The answer is: (12/7) OR (1 5/7) <-- (SIMPLIFIED)
Step-by-step explanation:
First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would simplify the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12) and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)
~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~
I need help with this
Answer:
65*
Step-by-step explanation:
All angles in a triangle = 180 degrees.