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Black_prince [1.1K]
3 years ago
15

Please help

Mathematics
1 answer:
Alinara [238K]3 years ago
7 0

Answer: A. 2x(x²)+2x(5x)+2x(-2xy)+2x(-10y)

B. 2x(x²+5x-2xy-10y)

Step-by-step explanation:

note: x*x means x times x

remember distributive and reverse it

ab+ac=a(b+c)

a is gcf

factor each

2x³=2*x*x*x

10x²=2*5*x*x

4x²y=2*2*x*x*y

20xy=2*2*5*x*y

gcf=2*x or 2x

2x³+10x²-4x²y-20xy=

2x(x²)+2x(5x)+2x(-2xy)+2x(-10y)=

2x(x²+5x-2xy-10y)

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The bad debt ratio for a financial institution is defined to be the dollar values of loans defaulted divided by the total dollar
Nimfa-mama [501]

Answer:

(a) NULL HYPOTHESIS, H_0 : \mu \leq  3.5%

    ALTERNATE HYPOTHESIS, H_1 : \mu > 3.5%

(b) We conclude that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

Step-by-step explanation:

We are given that a random sample of seven Ohio banks is selected.The bad debt ratios for these banks are 7, 4, 6, 7, 5, 4, and 9%.The mean bad debt ratio for all federally insured banks is 3.5%.

We have to test the claim of Federal banking officials that the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

(a) Let, NULL HYPOTHESIS, H_0 : \mu \leq  3.5% {means that the the mean bad debt ratio for Ohio banks is less than or equal to the mean for all federally insured banks}

ALTERNATE HYPOTHESIS, H_1 : \mu > 3.5% {means that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks}

The test statistics that will be used here is One-sample t-test;

                T.S. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where,  \bar X = sample mean debt ratio of Ohio banks = 6%

             s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} } = 1.83%

             n = sample of banks = 7

So, test statistics = \frac{6-3.5}{\frac{1.83}{\sqrt{7} } }  ~ t_6

                             = 3.614

(b) Now, at 1% significance level t table gives critical value of 3.143. Since our test statistics is more than the critical value of t so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

Hence, Federal banking officials claim was correct.

7 0
3 years ago
Is 3/5 a rational number
Allushta [10]
Yes all fractions are
7 0
3 years ago
Read 2 more answers
Solve the system
Helga [31]
The answer is actually choice A

---------------------------------------------------------
---------------------------------------------------------

If we add up the equations straight down we will have 0a+2b = 6

Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away

The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6

To isolate b, we divide both sides by 2

2b = 6
2b/2 = 6/2
b = 3

We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'

Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'

3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1

So a = -1 and b = 3 pair up to form (a,b) = (-1,3)

--------------------------------------

To check, plug this ordered pair back into both equations

Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out

Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well

So this confirms that the final answer is choice A
8 0
3 years ago
Read 2 more answers
Joe spends $8 for lunch and $6.50 for dry cleaning. He also buys 2 shirts that cost the same amount. Joe spends a total of $52.
faltersainse [42]

2shirts=52-8-6.50=37.50

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4 0
3 years ago
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vesna_86 [32]

Answer:Number of minutes of second  Song = 5 1/4 minutes

Number of minutes of third   Song =3 1/2  minutes

Step-by-step explanation:

Number of minutes of First Song = 3 1/2 minutes

Number of minutes of second  Song = one 1/2 times as long as her first

= 1 1/2 X 3 1/2 minutes

3/2 X 7/2

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Number of minutes of third   Song = 2/3 times as long as her second song

2/ 3 x 5 1/4

= 2/3 x 21/4 =42/12

Dividing the numerator and denominator by 3 to reduce the fraction

42/ 12 / 3/3 = 14/4

14/4 = 3 2/4 = 3 1/2  minutes

5 0
3 years ago
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