Answer:
Step-by-step explanation:
From the information given:
Consider X to be the random variable denoting the bad debt ratios for Ohio Bank.
Then, [tex]X \sim N ( \mu, \sigma ^2)[/tex]
Thus the null hypothesis and the alternative can be computed as:
Null hypothesis:
[tex]H_o : \mu \leq3.5\%[/tex]
Alternative hypothesis
[tex]H_1 : \mu > 3.5\%[/tex]
The type I and type II error is as follows:
Type I:
The mean bad debt ratio is > 3.5% when it is not
Type II:
The mean bad debt ratio is ≤ 3.5% when it is not.
The test statistics can be calculated by using the formula:
[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
where;
sample size n = 7
mean = 6+8+5+9+7+5+8 = 48
sample mean [tex]\overline x =\dfrac{48}{7}[/tex]
[tex]\overline x[/tex] = 6.86
sample standard deviation is :
[tex]s = \sqrt{\dfrac{\sum( x -\overline x)^2}{n-1}}[/tex]
[tex]s = \sqrt{\dfrac{( 6 -6.86)^2+( 8-6.86)^2+ ( 5 -6.86)^2 + ...+( 7 -6.86)^2+ ( 5 -6.86)^2+( 8 -6.86)^2 }{7-1}}[/tex]
s = 1.573
population mean [tex]\mu = 3.5[/tex]
Therefore, the test statistics is :
[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{6.86- 3.5}{\dfrac{1.573}{\sqrt{7}}}[/tex]
[tex]t = \dfrac{3.36}{\dfrac{1.573}{2.65}}[/tex]
[tex]t = \dfrac{3.36\times {2.65}}{{1.573}}[/tex]
t = 5.660
At significance level of 0.01
[tex]t_{0.01} = 3.707[/tex]
P - value = P(T > 5.66)
P - value = 1 - (T < 5.66)
P - value = 1 - 0.9993
P-value = 0.0007
Therefore, since [tex]t_{0.01} < t[/tex] , we reject the null hypothesis and conclude that the claim that the mean bad debt ratio for Ohio banks is higher than the mean for all financial institutions is true.
Help with algebra homework please...with work shown to explain
Answer:
C: -3/7
Step-by-step explanation:
Put an extended line over each direct point you see and then count the graph it takes to reach the nearest point.
Here is a picture to better explain it!
The point (2,6) lies on the graph of the equation y = kx^2 - 3x. Find the value of K.
Answer:
k=3
Step-by-step explanation:
just did it
At 5:00 a.m., the temperature outside was 1°F below zero. By noon, it rose by 12°F. At 7:00 p.m., the temperature dropped by 6°F. What was the evening temperature?
Answer:
5 Fahrenheit
Step-by-step explanation:
In the morning, it was 1 below zero. Subtract.
0 - 1 = -1.
Then, it went up 12 degrees.
-1 + 12 = -11.
In the evening, it went down -6.
11 - 6 = 5.
The answer is 5.
y = mx + c
5.
Use the grid below to answer these questions.
a) Draw and label the graph of y = 3x + 1.
15
[
10
5
b) Draw a line parallel to y = 3x + 1 and
passing through the point (0, -3).
o
2
3
4
5
c) Write down the equation of this line.
Answer:
Step-by-step explanation:
graph cannot be drawed
which algebraic experssion is a difference with two term
Answer:
ok
Step-by-step explanation:
" a difference " means subtract
5y - 7......u have 2 terms (5y and 7)...and it is the difference of 2 terms.
so ur answer is : 5y - 7
pls mark me as brilliant
What is the sum of 637,391+372,088
the result of this problem is 1009.479
Find the slope of the line passing through the points P (2,5) and Q (8,2)
Franklin has a five-dollar bill and d dimes in his money jar. Which expression could represent the value, in dollars, in franklins money jar?
Answer:
5+0.10d
Step-by-step explanation:
A five dollar bill is worth $5 and a dime is worth 10 cents, or a tenth of a dollar. To find the value of the money take the sum of the value of the bill and the number of dimes (d) times the value of each dime. You will get $5+0.10d.
If you would like FREE tutoring in algebra or another subject, check out www.growthinyouth.org.
what is a positive and a negative number between 1 and -1 ?
Answer:
The answer is 0
Step-by-step explanation:
It's between -1 and 1 and it's not positive only and it's not negative only
Can somebody plsssss help me I’m really bad at math
Answer:
Hey there!
a.
50=28.10+0.15m
Subtract 28.10
21.90=0.15m
Divide by 0.15
m=146
Jacob can send 146 messages.
b.
50=36.50+0.10m
Subtract 36.50
13.5=0.10m
Divide by 0.10
m=135
Roberto can send 135 messages.
Let me know if this helps :)
Help just one question can you show steps
this is the answer hope this will help u
Type the integer that makes the following multiplication sentence true: –3 × = 9
Answer:-3
-3
Step-by-step explanation:
11(15g-13)=-6 help please
Answer:
g = 0.83
Step-by-step explanation:
11(15g-13) =-6
165g - 143 = -6
165g = 137
165 165
g = 0.83
The solution of the given equation 11(15g-13) = -6 is g = 0.83
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
11(15g-13) = -6
To solve the above equation following steps are taken,
Divide both the side of the equation by 11
11(15g-13)/11 = -6/11
Solving them we get,
15g - 13 = -6/11
Adding 13 both the sides,
15g - 13 + 13 = -6/11 + 13
So we obtain,
15g = -6/11 + 13
Solving the numbers right hand side,we get
15g = 137/11
Dividing both the sides by 15 we get,
g = 137/165
or, g = 0.83
Hence,The solution of the given equation 11(15g-13) = -6 is g = 0.83
Learn more about equations :
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Find the general solution of the following equation: y'(t) = 3y -5
Answer:
The general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 = [tex]e^{3t}e^{3C}[/tex]
3y - 5 = [tex]Ae^{3t}[/tex] [tex]A = e^{3C}[/tex]
3y = [tex]Ae^{3t}[/tex] + 5
dividing through by 3, we have
y = [tex]\frac{A}{3}e^{3t}[/tex] + 5
So, the general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5
What are the chances that a coin toss will result in heads? (vs. tails)?
Answer:
50/50
Step-by-step explanation:
there are only two sides so they both get 50 percent
Answer: 1 in 2 chance
Step-by-step explanation: because there are only 2 sides and can only land on one side
I need help ASAP!! 1+(x-4)=-(3x+6)+1
Answer: x= -2
Step-by-step explanation: 1.) use PEMDAS
2.) distribute the 1 and -1 to (x+4) and (3x+6) --> 1+x+4 = -3x-6+1
3.) Put common terms on the same side (so x's together and the numbers together) so you will add 3 to the right side and add 3x to the left side
4.) that will get you 4x = -8 so then you will divide 4 to both sides to get x by itself
5.) Answer: x=-2
5.)
what is the answer for -8=-16+n
Answer:
n=8
Step-by-step explanation:
[tex]-8=-16+n\\\\-8+16=-16+16+n\\\\8=0+n\\\\n=8[/tex]
Answer:
Step-by-step explanation:
-8=-16+n
-8(+16)=-16(+16)+n get "n" by itself by adding 16 to both sides.
negative eight plus sixteen is positive eight. on the right side the sixteens cancel eachother out, so you are left with just "n".
Therefore...,
8=n
Your car can drive 300 miles on a tank of 15 gallons. How far can it drive on 40
gallons?
The car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
Your car can drive 300 miles on a tank of 15 gallons
300 miles → 15 gallons
Let x be the number of miles or distance a car travel in 40 gallons
x → 40 gallons
300/x = 15/40
x = (300×40)/15
x = 800 miles
Thus, the car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.
Learn more about the fraction here:
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964,103 rounded to the nearest ten thousand
Find the midpoint of the segment joining X(5,6) and Y(9,2).
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is:
[tex]M=(\frac{x_1+x_1}{2},\frac{y_1+y_2}{2})[/tex]
Let (5,6) be x₁ and y₁ and let's let (9,2) be x₂ and y₂. Thus, the midpoint is:
[tex]M=(\frac{5+9}{2},\frac{6+2}{2})[/tex]
Add:
[tex]M=(\frac{14}{2},\frac{8}{2})[/tex]
Divide by 2:
[tex]M=(7,4)[/tex]
So, our midpoint is (7,4).
And we're done!
Help me please!!! :(
Answer:
the greatest common factor is 5^2 * 7^3
(I think!!!)
5g + 18-7g + 4g = 8
Answer:
Step-by-step explanation:
9g - 7g + 18 = 8
2g + 18 = 8
2g = -10
g = -5
Please help!! I don't understand this!?!?!?
Answer:
Understgand what?
Step-by-step explanation:
Answer:
whats your question?
Step-by-step explanation:
Help me please ..............................................................
Answer:
Coplanar
Step-by-step explanation:
Evaluate 3^2 + (6-2)x4-6/3
Answer:
23
Step-by-step explanation:
9+4x4-2
9+16-2
9+16-2
23
Answer:
23
Step-by-step explanation:
3 ^ 2 = 9
6 - 2 = 4
4 * 4 = 16
16 + 9 = 25
6/3/ = 2
25 - 2 = 23
what is the value of a
Help please
When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.
B and C are 7, so a would also be 7
f(-1/2)=1/2x +3/2 what is the answer to this?
Answer:
5/4, just sub in x
Step-by-step explanation:
Solve the equation. −2=67p
Answer:
p = -2/67
Step-by-step explanation:
We divide 67 on both sides.
-2 / 67 = -2/67
67p / 67 = p
We got p = -2/67
Hope this helps.
Write an equation in slope-intercept form for the line described. Slope 9/2, passes through (0,-13/2)
Use slope-intercept equation form: [tex]y=mx+b[/tex]
We know that the slope is 9/2
[tex]y=\frac{9}{2}[/tex]
[tex]y=\frac{9}{2}x+b[/tex]
To solve for b, we can plug in the point given, since it's on the line.
[tex]-\frac{13}{2}=\frac{9}{2}(0)+b[/tex]
[tex]b=-\frac{13}{2}[/tex]
So the equation is: [tex]y=\frac{9}{2}-\frac{13}{2}[/tex]
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Large bags hold 14 apples. When a fourth grade class went to apple picking, they filled 9 large bags. How many apples did they pick?
Answer:
They picked 126 apples
Step-by-step explanation:
Because 1 large bag holds 14 apples, and 9 large bags were filled, you would need to multiply 14 by 9. 14 multiplied by 9 equals 126