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RideAnS [48]
3 years ago
8

Refer to the above graph to answer questions 1 through 5. 1. Lines A and B form what type of system?

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

Lines A and B form a consistent independent system

Step-by-step explanation:

we know that

A consistent system of equations has at least one solution

In this problem

The system of Line A and Line B has only one solution, since it has only one point of intersection.

and the Line A is different to Line B

therefore

Lines A and B form a consistent independent system

(independent because Lines A and B are different)

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Solve the equation c^2=4
mixas84 [53]

Answer:

c = 2 or c = -2

Step-by-step explanation:

c^2=4\\\\\sqrt{c^2}=\sqrt{4}\\\\ \boxed{c=2; c=-2}

Hope this helps.

7 0
3 years ago
Read 2 more answers
The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea
weeeeeb [17]

31 degrees, 31 degrees, 118 degrees

Step-by-step explanation:

Step 1 :

Let x be the measure of 2 angles of the given isosceles triangle with same measure

Let y be the measure of  3rd angle

So we have x + x + y = 180

Step 2 :

Given that the measure of  3rd angle of  triangle is 25​° more than three times the measure of either of the other two​ angles

So we have , y = 3 x + 25

Step 3:

Substituting for y in the first equation we have,

x + x + 3 x + 25 = 180

=> 5 x + 25 = 180

=> 5 x = 180-25 = 155

=> x = 155/5 = 31

Hence the 2 angles of the triangle are 31 degrees.

Step 4:

we have y = 3 x + 25

=> y = 3 * 31 + 25 = 118

Hence the 3rd angle of given triangle is 118 degrees

8 0
3 years ago
Which is greater 400 mililiters or 4 liters?
Elena-2011 [213]
1 milliliter = 0.001 liters

400 milliliters = 0.4 liters

Therefore, 4 liters is greater than 400 milliliters 
5 0
3 years ago
Read 2 more answers
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
Um help plz apprecate it
SpyIntel [72]

Answer:

4.35 / 100 = 0.0435

Step-by-step explanation:

We find it useful to convert 4.35% to decimal, because if you need to find 4.35% of any number, you can simply multiply that number with 0.0435.

8 0
3 years ago
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