sara correctly solves a system of two linear equations and finds that the system has no solution. if one of the two equations is -

to inverse a equation make all y's x and andy x's y

Thus the inverse is

x=4y-8

Evaluated to

4y=x+8

y=

if we take the 423000 to be the 100%, how much is 8% off of it in bucks?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 423000&100\\ x&8 \end{array}\implies \cfrac{423000}{x}=\cfrac{100}{8}\implies \cfrac{423000}{x}=\cfrac{25}{2} \\\\\\ 846000=25x\implies \cfrac{846000}{25}=x\implies 33840=x\)

Answer(s):

Step-by-step explanation:

Hence, the current cost of the house is $456,840.

Hence, the house value increase in dollars in 33,840.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

g(-3x) = -9x - 3

Step-by-step explanation:

Step 1: Define function

g(x) = 3x - 3

g(-3x) = x = -3x

Step 2: Substitute

g(-3x) = 3(-3x) - 3

g(-3x) = -9x - 3

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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Answer:

\(\boxed{16a + 11}\)

\( \boxed{\bf \: None \: of \: the \: Above} \)

Step-by-step explanation:

Given algebraic expression :

\( \tt 9a + 11 + 7a\)

We need to find the expression which is equivalent to the given expression.

Solution :

\(\tt= 9a+11+7a\)

We can rewrite this expression as,

\( \tt= (9a + 7a) + 11\)

\( \underline{\rm \: Combine \: the \: Like \: terms : }\)

\( \tt = 16a + 11\)

This expression can't be combined as 11 doesn't have a term to combine with 16a.

Also, this matches with none of the given choices.

Hence, the equivalent expression would be ,

\(\underline{\tt 16a + 11}\)

\( \boxed{\sf \: None \: of \: the \: Above} \)

\( \rule{225pt}{2pt}\)

I hope this helps!

If you have any questions,Let me know.

Answer:

\( \bf \boxed{None \: of \: the \: above.}\)

\( \frak{Explanation:}\)

Given,9a+11+7a

=9a+7a+11

=16a+11

Hence, the equivalent expression would be,

\( \bf \boxed{16a + 11}\)

The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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No, the conditions for inference are not met. The Large Counts Condition is not satisfied because the number of successes (6) is less than 10.

To determine if the conditions for inference are met in this scenario, we need to consider a few key conditions: the 10% condition, the randomness condition, and the Large Counts Condition.

The 10% condition: This condition states that the sample size should be no more than 10% of the population size. In this case, the sample size is 10 (the number of times the penny was spun), and we don't have information about the population size. However, since the proportion of times the penny lands tails up is not likely to be affected by the sample size of 10, we can assume that the 10% condition is met.

The randomness condition: This condition requires that the sample is randomly selected from the population. If the student followed the instructions and spun the penny 10 times, recording the number of times it landed tails side up, and there was no bias in the way the spins were performed, we can assume that the randomness condition is met.

The Large Counts Condition: This condition is related to the number of successes and failures in the sample. It states that both the number of successes and failures should be at least 10. In this case, the student recorded 6 tails side up out of 10 spins. Since 6 is less than 10, the Large Counts Condition is not met.

Based on these conditions, we can conclude that the conditions for inference are not fully met. The 10% condition and the randomness condition are likely met, but the Large Counts Condition is not satisfied. This means that we should be cautious when making inferences about the true proportion of tails up based on this sample. It may not be appropriate to construct a confidence interval or perform statistical inference in this case due to the violation of the Large Counts Condition.

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Answer:

5. b  6. c  7. d  8. a

Step-by-step explanation:

Option D (2nd table in the second row)

a = b + 8.6

From the options given, the relationship between a and b should be:

b = a + 8.6

This is because the values of b in all the tables are more than the values of a. Also if we follow this relatioship, we would be able to get the correct answer in the option.

b = a + 8.6

a) if a = 2

b = 2 + 8.6 = 10.6

10. 6 is different from 17.2 (option is wrong)

b) if a = 2

b = 2 + 8.6 = 10.6

10. 6 is different from 8.8 (option is wrong)

c) if a = 2

b = 2 + 8.6 = 10.6

This is correct with the value of b. we need to confirm if other values on the same table follow this

if a = 4

b = 4 + 8.6 = 12.6

12.6 is different from 10.8 as value of b

d) if a = 2

b = 2 + 8.6 = 10.6

if a = 4

b = 4 + 8.6 = 12.6

if a = 6

b = 6 + 8.6 = 14.6

This option is correct as it follows the relationship between a and b

Answer:

Please, see the image below.

Step-by-step explanation:

I attached an image of the sketched region below.

You take into account that y=0 is the x axis.

Furthermore, you take into account that f(x)=-5x^3 is, for x=-2 and x=-1:

f(-2)=40

f(-1)=5

Finally, the region bounded by the equations is above the negative x axis.

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer: a) $10 per month b) the original runners

Step-by-step explanation: A) since runners cost $240, and you used them for a total of 2 years, which is 24 months. This means they cost 240/24 = $10 per month

b) The other pair costs $168 but you only have them for 2 months so they cost 168/2 = $84 per month which are more expensive.

Answer:

Log(x)

Step-by-step explanation:

Work Shown:

m = number of girls who have an A = 12

n = number of girls in the class = 15

probability = m/n = 12/15 = (3*4)/(3*5) = 4/5

Answer:

the scale factor is 3.

Answer:

The scale factor is 3.

The value of the side length x is equal to 14 using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin45 = 7√2/x {opposite/hypotenuse}

√2/2 = 7√2/x {sin45 = √2/2}

x = 7√2 × 2/√2 {cross multiplication}

x = 7 × 2

x = 14

Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.

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Answer:

Step-by-step explanation:

Follow the numbers.

Answer:

Step-by-step explanation:

9 tins of cat food feed her 2 cats for 18 days

Step-by-step explanation:

Sally has 2 cats

food eaten by 1 cat each day =

food eaten by 2 cat each day=  tins

sally buys 9 tins of cat food

then

tins  required in = 1 day

1 tin required in

i.e  1 tin required in  2 days

9 tin  required  for = 9×2 = 18 days

hence ,  9 tins of cat food feed her 2 cats for 18 days

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Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?

a. Apples:  Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes: The amount of grapes that Lily has is not given

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.

a. Apples:

2½ × 4 cups = 10 cups

Therefore, Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons:

2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups

Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes:

The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.

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Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

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Answer:

Step-by-step explanation:

15/2

Answer:

25 + 10h = 50+5h

Step-by-step explanation:

Black Diamond Ski Resort

25 + 10h

Bunny Hill Ski Resort

50+5h

Set them equal to each other to find when the cost is the same

25 + 10h = 50+5h

Answer:

$35,000

Step-by-step explanation:

In a proposed business venture, Serena estimates that there is a 65% chance that she will make $70,000

And also a 35% chance that she will loose $30,000

Therefore the expected value can be calculated as follows

E= 65/100 × 70,000 + 35/100 × (-30,000)

= 0.65 × 70,000 + 0.35(-30,000)

= 45,500 - 10,500

= $35,000

Hence the expected value is $35,000

Based on the probability of the payoffs, we can calculate that the expected value is $35,000.

The expected value is calculated as:

= ∑(Probability of payoff x Payoff)

The expected value here is therefore:

= (65% x 70,000) + (35% x -30,000)

= 45,500 - 10,500

= $35,000

In conclusion, the expected value is $35,000.

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Answer:

128.22

Explanation:

A = 6 * 5.2 + 6 * √ (5.2 / 2)² + (8.2)² + 5.2 * √ (6 / 2)² + (8.2)²

Answer:

-11

Step-by-step explanation:

\(3( - 2) + 5( - 1)\)

\( - 6 + ( - 5)\)

\( - 11\)

Answer:

y=45

x=9

z= 9 root 2

Step-by-step explanation:

This is a right isosceles triangle, so

y=45

x=9

z= 9 root 2

9²+9²=z²

81+81=z²

162=z²

√162=z

z=9√2

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Answer:

6 groups of 2, 4 groups of 3, 3 groups of 4, 2 groups of 6, and 1 group of 12 or 12 groups of 1.

Step-by-step explanation:

This question requires you to factor 12. This is because you need to find the numbers that multiply to 12, or its factors. After factoring, you get 1, 2, 3, 4, 6, and 12. When you use these numbers as the amount of groups, you can divide 12 by them to get the size of the groups.