Unit rate for 150 students in 3 classes.

Answer:

x: 1/4=0.25 quarts of 100% antifreeze

Hope this helps

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.

Answer:

R=V/I

Step-by-step explanation:

Divide V by I to isolate R on one side.

Answer:

R=V/I

Step-by-step explanation:

Because resistance formula is v/i

Answer:

angle CDA and angle BDC

mark this as brainliest!

Answer:

∠CDA and ∠BDC as their sum equals 90°

Step-by-step explanation:

Answer:

Step-by-step explanation:

A picture on scratch paper works as well as any.

__

The sum of the two angles is 180°:

  (5x -4) +(3x +10) = 180

  8x = 174 . . . . . . collect terms, subtract 6

  x = 21.75 . . . . . .divide by 8

Then the angle measures are ...

  ∠TYU = 5(21.75) -4 = 104.75°

  ∠UYB = 3(21.75) +10 = 75.25°

_____

Check

The total is 104.75 +75.25 = 180, as required.

Answer:

104.75 +75.25 = 180

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Simply plug in 0 for x:

g(0) = 5x + 1

g(0) = 5(0) + 1

g(0) = 1

Answer:

-2/7

Step-by-step explanation:

Going from (7,-1) to ( 21,-5) we see x (the 'run') increasing by 14 and y (the 'rise') decreasing by 4.  Thus, the slope of the line connecting these two points is m = rise/run = -4/14, or -2/7.

Answer: 10

Explanation:

remember that when you have a divided fraction, you can change de numerator and denominator so your fractions be like this:

4/10 * 25/1 = 100/10

          10*1

100/10= 10

this happens because when you have a fraction that is being divided, it's also like you are cross multiplying, just like the resolution upwards, then you get 100 divided by 10, which is 10.

I hope it helps you. :)

Answer:

A graph has to be clearly labelled and drawn for clarity and to aid the correct interpretation of the data shown on the graph.

Answer: negative numbers

Explanation: Notice that on the number line, 0 is in  the middle, all numbers to the left of 0 are negative, and all numbers to the right of 0 are positive.

Since the numbers highlighted only include numbers

to the left of 0, negative numbers are shown here.

Answer: K=23

Step-by-step explanation:

Answer:

k=9

Step-by-step explanation:

4k+44 because you distribute the 4 to the parenthesis

new equation: 4k+44-2=6

add 2 to 6 which would be 8 because you have to get k by itself

4k+44=8 subtract 44 from 8

-36=4k

divide by four

k=-9

if the equation is really 4(k+11)--2=6

do the same first steps so 4k+44

but the -2 would become positive cuz of the double negative

so:

4k+44+2=6

4k+46=6

subtract 46 from 6

4k=-40

divide -40 by 4

k=-10

Answer:

$50.05

Step-by-step explanation:

Since you have to pay $3.85 per day, and you pay it 13 days late, then you would multiply $3.85 and 13.

3.85*13= 50.05

Total amount of late charges fee is $50.05

Amount pay for late charges = $3.85

Number of days = 13 days

Total amount of late charges fee

Total amount of late charges fee = Amount pay for late charges × Number of days

Total amount of late charges fee = 3.85 × 13

Total amount of late charges fee = $50.05

https://brainly.com/question/22177923?referrer=searchResults

Answer:

CFB or DFE

Step-by-step explanation:

Congruent angles have the same value in degrees.

Knowing that line DB is straight and CE is perpendicular to DB (at 90 degrees to DB), we know CFD is 90 for the sum of CFD and CFB to equal 180 degrees (since they are on a straight line which is 180 degrees). We also know DFE is 90 for the same reason.

Our question is asking what is congruent or the same angle as CFD. In this case, there are 2 congruent angles: CFB and DFE.

CFB is 90 these angles are on the same line DB and are supplementary (add up to 180 degrees)

DFE is also a correct option since this and CFD are on the line CE and are also supplementary

Answer:

176

Step-by-step explanation:

Usually you'll follow PEMDAS & the left->right rule, however, as you are only multiplying and dividing, it does not matter.

22/2 = 11

11 * 16 = 176

176 is your answer.

~

Answer:

176

Step-by-step explanation:

PEMDAS : first Multiply 16 & 22 which equals 352. Then Divide 352 by 2 which equals 176.

Answer:

Step-by-step explanation:

decrease=400×0.285=114.000 $

amount at the end=400-114=286 $

Answer: Choice A) 0.0000034

[tex]3.4 \times 10^{-6} = 0.0000034[/tex]

There are five zeros between the decimal point and the '3'

To get this answer, you start with 3.4 and then move the decimal point 6 places to the left due to the exponent of -6. If the exponent was positive, then we'd move 6 places to the right.

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 3y = 6

7x + 3y = 27

11x = 33

x = 3

7(3) + 3y = 27

21 + 3y = 27

3y = 6

y = 2

(3,2)

Answer:

x=3 and y=2

Step-by-step explanation:

Let's solve your system by substitution.

4x−3y=6;7x+3y=27

Step: Solve4x−3y=6for x:

4x−3y=6

4x−3y+3y=6+3y(Add 3y to both sides)

4x=3y+6

4x /4 = 3y+6 /4  (Divide both sides by 4)

x= 3 /4 y+ 3 /2

Step: Substitute

3 /4 y+ 3 /2  for x in7x+3y=27:

7x+3y=27

7( 3 /4 y+ 3 /2 )+3y=27

33 /4 y+ 21 /2

=27 (Simplify both sides of the equation)

33 /4 y+ 21 /2 + (−21 /2 )

=27+ (−21 /2) (Add (-21)/2 to both sides)

33 /4 y= 33 2

33/4y=33/2

33 /4  =33/4 (Divide both sides by 33/4)

y=2

Step: Substitute 2 for y in x= 3 /4 y+ 3 /2

x= 3 /4 y+ 3 /2

x= 3 /4  (2)+ 3 /2

x=3 (Simplify both sides of the equation)

Answer:

x=3 and y=2

HOPE THIS HELPS!!!! :)

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Answer:

7....................

Answer:

Step-by-step explanation:

f(x) = 4x² - 6

To find f(3) substitute the value of x that's 3 into f (x) that is for every x in f (x) replace it with 3

We have

f(3) = 4(3)² - 6

= 4(9) - 6

= 36 - 6

We have the final answer as

Hope this helps you

Answer: f(3) = 30

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. 8.95 x 10^11

b. 3.65 x 10^8= 365,000,000

Answer:

a. 8.95 x 10^11

b. 3.65 x 10^8= 365,000,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first is (-2)(-2) = 4.

The second is -(2)(2) = -4.

The order of operations says exponents are evaluated first. An exponent signifies repeated multiplication of the base.

_____

If your calculator is working correctly, it will show you the difference.

__

Beware spreadsheet programs. They don't always follow the order of operations when evaluating formulas. Parentheses are often required to keep them honest.

Answer: The one with perinthesis is bigger because you would do the negative first and you would have nothing to take away from

Step-by-step explanation:

what grade math is this????????????????????

Answer:

five minus y

Step-by-step explanation:

Answer:

y less than five

Step-by-step explanation:

thats your answer, please trust me

Answer:

[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]

Step-by-step explanation:

We want to evaluate the integral:

[tex]\displaystyle \int\left(\ln x\right)^2 \, dx[/tex]

We can use Integration by Parts. Rewriting the integral yields:

[tex]\displaystyle =\int 1\cdot (\ln(x))^2\, dx[/tex]

Recall that IBP is given by:

[tex]\displaystyle \int u\, dv = uv - \int v \, du[/tex]

Let u be (ln(x))². And let dv be (1) dx. Therefore:

[tex]\displaystyle du = 2\ln x \cdot \frac{1}{x}\, dx[/tex]

Simplify:

[tex]\displaystyle du=\frac{2\ln(x)}{x}\, dx[/tex]

And:

[tex]dv=(1)dx\Rightarrow v = x[/tex]

Therefore:

[tex]\displaystyle \int (\ln(x))^2\, dx=\underbrace{\ln(x)^2}_{u}\underbrace{x}_{v}-\int\underbrace{x}_{v}\cdot \underbrace{\frac{2\ln(x)}{x}\, dx}_{du}[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2 \int\ln(x)\, dx[/tex]

We can perform IBP again. Let u = ln(x) and v = 1. Hence:

[tex]\displaystyle du = \frac{1}{x} \, dx[/tex]

And:

[tex]dv=(1)dx\Rightarrow v = x[/tex]

Thus:

[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (x)\frac{1}{x}\, dx\right)[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (1)\, dx\right)[/tex]

Evaluate:

[tex]=x\ln(x)^2-2(x\ln(x)-x)+C[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2x\ln(x)+2x[/tex]

Factor:

[tex]=x(\ln(x)^2-2\ln(x)+2)[/tex]

Therefore:

[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]

Answer:

30

Step-by-step explanation:

Well its pretty simple just take 19-49 unless its for something else all i knew was that its 19-49= 30

Answer:

Hey there!

30/40 are cheddar flavored, so 10/40 are cream cheese flavored.

10/40=25, so 25% of the chips are cream cheese flavored (assuming that the rest of the chips are all cream cheese flavored)

Let me know if this helps :)