The bad debt ratio for a financial institution is defined to the dollar value of loans defaulted divided by the total dollar value of all loans made. Suppose that a random sample of 7 Ohio banks is selected and that the bad debt ratios (written as percentages) for these banks are 6%, 8%, 5%, 9%, 7%, 5% and 8%. Banking officials claim that the mean debt ratio for all Midwestern banks is 3.5 percent and the mean bad debt ratio for Ohio banks is higher. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that the mean bad debt ratio for Ohio banks exceed 3.5 percent. (a) H0: μ ≤ [ Select ] % versus Ha: μ > [ Select ] %. (b) Discuss the meanings of a Type I error and a Type II error in this situation. Type I : Conclude that Ohio's mean debt ratio is [ Select ] 3.5 % when it actually is 3.5%. Type II : Conclude that Ohio's mean debt ratio is [ Select ] 3.5 % when it actually is 3.5%.

Answer:

Step-by-step explanation:

9g - 7g + 18 = 8

2g + 18 = 8

2g = -10

g = -5

The car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

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.

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the result of this problem is 1009.479

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

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

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.

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 :)

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

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.

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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

this is the answer hope this will help u

Answer:

k=3

Step-by-step explanation:

just did it

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.

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

Answer:

5/4, just sub in x

Step-by-step explanation:

Answer:

Understgand what?

Step-by-step explanation:

Answer:

whats your question?

Step-by-step explanation:

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

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

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

Answer:

Coplanar

Step-by-step explanation:

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.)

Answer:

Step-by-step explanation:

graph cannot be drawed

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!

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

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

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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]

頑張って!

Answer:-3

-3

Step-by-step explanation:

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!

Answer:

the greatest common factor is 5^2 * 7^3

(I think!!!)