Margo can purchase tile at a store for $0.99 per tile and rent a tile saw for $24. At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the cost to be the same at both stores?

PLEASE HELP ME HOMEWORK DUE TONIGHT!!!

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

Answer:

\(a^2 + b^2 = c^2\\6^2 + 10^2 = c^2\\36 + 100 = c^2\\136 = c^2\\\sqrt{136} = \sqrt{c^2} \\11.66 in = c\)

A' - (-1,4)

B' - (-1,8)

C' - (-5,4)

hope this helps

Answer:

one number is -6

two number is -5

3. -4

4. -3

5. 0

6. 3

Answer:

$66

explanation:

1/6 of a pie costs $1

11 divided 1/6

11 ÷ 1/6

11 * 6

$66

The school earned total: $66

Answer:

2 ⅓  

Step-by-step explanation:

division is the same as a fraction

the dividend is the numerator and the divisor is the denominator

7÷3 is the same as 7/3

change 7/3 into a mixed number which is 2 ⅓  

Using limits, the correct statement is given by:

The degree is odd and the leading coefficient is negative.

It is found by it's limits as x goes to infinity. On the left, it is given by:

\(\lim_{x \rightarrow -\infty} f(x)\)

On the right, it is given by:

\(\lim_{x \rightarrow \infty} f(x)\)

Since it is a limit as x goes to infinity, we only consider the term with the highest degree and it's leading coefficient.

Hence, the behavior described, that is, \(\lim_{x \rightarrow -\infty} = \infty, \lim_{x \rightarrow \infty} = -\infty\) happens when:

The degree is odd and the leading coefficient is negative.

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Answer:

The degree is odd and the leading coefficient is negative.

Step-by-step explanation:

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

f(x)=x^3-4x^2+5x-2

Step-by-step explanation:

This question is a "working backwards" question. They give you the solutions and then you work backwards to find the function that those are the solutions to. Zeros are solutions (also x-intercepts)

"a zero of multiplicity 2" means that that answer was the solution twice. So we put that factor in twice.

Multiply all the factors together to find the function.

see image.

Answer:

Mai, Elena, Diego, and Kiran.

Explanation:

• Diego raised $40.00.

Kiran sold 2 1/2 times as much lemonade as Diego, therefore the amount raised by Kiran will be:

Elena sold 7/8 as much lemonade as Diego, therefore the amount raised by Elena will be:

Mai also sold 2/3 as much lemonade as Diego, therefore the amount raised by Mai will be:

Therefore, the names of the students in order of who raised the least amount of money to who raised the most amount of money:

• Mai ($26.67), Elena ($35), Diego ($40) and Kiran ($100)

•

Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.

What is a good example of a line's slope?

The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.

A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.

B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.

C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.

D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.

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Answer:

  C.  d = 24g

Step-by-step explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

  d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

  k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

  (gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

  k = d/g = 120/5 = 24

The equation is d = 24g.

Answer:c.

The list price, because it is derived from the price of a car.

Step-by-step explanation:

Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.)         ANSWER C

Answer: A. A down payment, because it reduces the amount financed.

Step-by-step explanation: I just took the quiz and got a 100%. Edge 2021

Answer:

cos.1.1k

Step-by-step explanation:

Chandler ended up 8 feet below sea level. The negative sign indicates that his final position is below sea level. This means that he has descended further into the lake compared to the starting point on the cliff.

Chandler started on the cliff at 32 feet above sea level. When he jumped for 40 feet, we need to determine the final position in relation to sea level.

Since Chandler jumped down, the distance below sea level will be calculated as a negative value. To find how far below sea level Chandler ended up, we subtract the jump distance (40 feet) from the starting height (32 feet above sea level):

32 feet - 40 feet = -8 feet

It's important to note that negative values are used here to represent the direction and magnitude of Chandler's descent relative to sea level

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Answer:

-8 feet

Step-by-step explanation:

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer: 601

Step-by-step explanation:

The formula to find the minimum sample size(n) , if the prior population proportion is unknown:

\(n=0.25(\dfrac{z^c}{E})^2\), where E = margin of error , \(z^c\) = critical z-value for confidence level c.

Given : E  = 0.04

Z-value for 95% confidence = 1.96

So, the minimum sample size required = \(0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2\)

\(= 0.25\times 2401=600.25\approx601\)

Hence, the minimum sample size required = 601

Using multipliers, the expression is given by:

\(y = 0.9875x\)

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

The decimal multiplier for a decrease of x% is given by:

\(M = \frac{100 - b}{100}\)

In this problem, decrease of 1.25%, thus:

\(M = \frac{100 - 1.25}{100} = \frac{98.75}{100} = 0.9875\)

Alex's net proceeds is then of 98.75% = 0.9875 of y, removing the broker proceedings, thus, the expression is:

\(y = 0.9875x\)

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The frequency distribution based on the information given is illustrated below.

What is the frequency distribution of table?

A frequency distribution table is the chart that summarizes all the data under two columns - variables/categories, and their frequency.

It should be noted that the distribution table has two or three columns and the first column lists all the outcomes as individual values or in the form of class intervals, depending upon the size of the data set.

Given the above information the frequency distribution table is:

Cost of living\(\begin{table}[]\begin{tabular}{ll}Cost of living & Number of States \\85.0 - 94.9 & 9 \\95.0 - 104.9 & 5 \\105.0 - 114.9 & 0 \\115.0 - 124.9 & 2 \\125.0 - 134.9 & 2 \\135.0 - 144.9 & 1 \\145.0 = 154.9 & 1 \end{tabular}\end{table}\)   Number of states

85.0 - 94.9             9

95.0 - 104.9         5

105.0 - 114.9         0

115.0 - 124.9         2

125.0 - 134.9         2

135.0 - 144.9         1

145.0 - 154.9         1

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Answer: D

Step-by-step explanation: The answer wouldn't be A because all the information is there, B is out because the question tells you there is a correlation between the two, and C is out because it has a more negative affect than positive.

1) The value of given random variable having mean 20 and variance 25 is (a) 0.1587, (b) 0.0228 and (c) 0.5328.

2) The z-score corresponding to a probability of a) 0.95 is 1.645, b) 0.05 is -1.645 and c) 0.1515 is -1.04.

The mean is a measure of central tendency, which represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.

1) (a) We can standardize the random variable X using the formula z = (X - μ) / σ, where μ is the mean and σ is the standard deviation. Therefore,

z = (15 - 20) / 5 = -1

Using a standard normal distribution table or calculator, we can find P(Z < -1) = 0.1587.

(b) Similarly, we have

z = (30 - 20) / 5 = 2

Using the standard normal distribution table or calculator, we can find P(Z > 2) = 0.0228.

(c) To find P(18 ≤ X ≤ 25), we can again standardize the random variable:

z1 = (18 - 20) / 5 = -0.4

z2 = (25 - 20) / 5 = 1

Then we can use the standard normal distribution table or calculator to find P(-0.4 ≤ Z ≤ 1) = 0.5328.

2) (a) Since we are given that X is a standard normal random variable, we can use the standard normal distribution table or calculator to find the value of a such that P(X < a) = 0.95. From the table, we find that the z-score corresponding to a probability of 0.95 is 1.645. Therefore,

a = μ + σ * z = 0 + 1 * 1.645 = 1.645

(b) Similarly, we can find the value of b such that P(X ≤ b) = 0.05 using the standard normal distribution table or calculator. From the table, we find that the z-score corresponding to a probability of 0.05 is -1.645. Therefore,

b = μ + σ * z = 0 + 1 * (-1.645) = -1.645

(c) We want to find the value of c such that P(X > c) = 0.8485. Since the normal distribution is symmetric about the mean, we know that P(X > c) = 1 - P(X < c), so we can find the value of c such that P(X < c) = 1 - 0.8485 = 0.1515. From the standard normal distribution table, we find that the z-score corresponding to a probability of 0.1515 is -1.04. Therefore,

c = μ + σ * z = 0 + 1 * (-1.04) = -1.04.

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a ) Construction of stem and leaf display of the data is:

For n = 129 and with splint unit = 0.1, the stem and splint map of the given data on Shower- inflow rate( L/ min) is as follows

a stem-and-leaf display of the data.

   Stems                                                Leaves

       2                                                       28

       3                                                1344567789

       4                                                 01356889

       5                                          00001114455666789

       6                              0000122223344456667789999

       7                                     00012233455555668

       8                                                02233448

       9                                         012233335666788

      10                                             2344455688

      11                                                2335999

      12                                                     17

      13                                                      9

      14                                                     36

      15                                                  0035

      16                                                  None

      17                                                  None

      18                                                     3

b) From brume and splint map we note that minimal Shower inflow rate is2.2 whereas outside is18.3 L/ mim. farther typical or representative rate is7.0 L/min.

c) The display of data on steam and leaf chart shows that data is positively skewed means concentration of data on left side or lower value side is high as compared to other side.

d) Distribution is not symmetric rather very clear positive skew ness is observed through steam and leaf chart. Even distribution is Unimodal.

e) From steam and leaf chart is indicative to conclude that the highest observation 18.3 is outlier.

A stem and splint plot, also known as a stem and splint illustration, is a way to arrange data so that it's simple to see how constantly colorful feathers of values do. It's a graph that displays ordered numerical data. A stem and a splint are divided into each piece of data.

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Complete question:

The accompanying data set consists of observations on shower-flow rate (L/min) for a sample of n = 129 houses:

4.6 12.1 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.1

11.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.5

7.5 6.2 5.8 2.8 3.4 10.4 9.8 6.6 3.7 6.4

8.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.9 6.2

5.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.3

7.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.3 7.2

5.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.2

8.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.7

5.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.6

10.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.6

7.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.3

9.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.2

8.3 3.1 4.9 5.0 6.0 8.2 6.3 3.8 6.0

(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)

Stems Leaves

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

(b) What is a typical, or representative, flow rate?

L/min

(c) Does the display appear to be highly concentrated or spread out?

highly concentrated, except for a few values on the positive sidehighly concentrated in the middle highly concentrated, except for a few values on the negative sidespread out

(d) Does the distribution of values appear to be reasonably symmetric? If not, how would you describe the departure from symmetry?

Yes, the distribution appears to be reasonably symmetric.No, the data are skewed to the right, or positively skewed. No, the data are skewed to the left, or negatively skewed.No, the distribution of the values appears to be bimodal.

(e) Would you describe any observation as being far from the rest of the data (an outlier)?

Yes, the value 2.2 appears to be an outlier.Yes, the value 15.5 appears to be an outlier. Yes, the value 18.3 appears to be an outlier.No, none of the observations appear to be an outlier.

Answer:

Option B,

They're similar because two pairs of corresponding angles in the two trapezoids are congruent

Answer:

They're not similar because only one pair of corresponding angles in the two trapezoids is congruent.

Step-by-step explanation:

Answer:

a. How many apartment buildings were in the sample?

_________________

b. Write the estimated regression equation (to 2 decimals if necessary).

ŷ = _________________ + _________________   x

c. What is the value of sb1 (to 4 decimals)?

_________________

d. Use the F statistic to test the significance of the relationship at a .05 level of significance.

Compute the F test statistic (to 2 decimals).

_________________

What is the p-value?

p-value is _________________

What is your conclusion?

_________________

e. Predict the selling price of an apartment building with gross annual rents of $50,000 (to 1 decimal).

$ _________________ thousands.

Step-by-step explanation:

a) Total degree of freedom is 8

so number of observation is 8 + 1 = 9

so there are 9 apartment in the sample

b) The estimated regression is

\(\hat y=20+7.21x\)

c) = 1.3626

d)

\(H_0:\beta _1=0\\\\H_1:\beta _1\neq 0\\\\SSE=SST-SSR\\\\=51984.1-41587.3\\\\=10396.8\\\\MSR=\frac{SSR}{\texttt {no of independent variable}} \\\\=\frac{41587.3}{1} =41587.3\\\\MSE=\frac{SSE}{n-2} \\\\=\frac{10396.8}{9-2} \\\\=1485.26\)

The F-statistic to test the hypothesis is

\(F=\frac{MSR}{MSE} \\\\=\frac{41587.3}{1485.26} \\\\=28.0001\)

The F distribution table show that one degree of freedom on the numerator and n -2 = 7 degree of freedom in the denominator

F = 28.001 is greater that 12.25

so the area in the  upper tail of the F - distribution corresponding to the F  statistic F = 36.9968 must be less than 0.01

Thus we conclude that the p-value must be less than 0.01

From excel exact P-value is 0.00113

Because p-value is less than α 0.05 we reject H₀ and conclude that there is a significant relationship between annual gross rents, x and selling price , y of apartment building

e)The estimate of the selling price of an apartment building with gross annual rent of $50,000 is

\(\hat y=20.0+7.21x\\\\=20.0+7.21(50000)\\\\=380500\)

So ,the estimate of the selling price of an apartment building with gross annual rent of $50,000 is $380500

Answer:

Step-by-step explanation:

Given functions are,

s(x) = 2x - 2

t(x) = 3x

(s - t)(x) = (2x - 2) - 3x

            = -x - 2

            = -(x + 2)

(s + t)(x) = (2x - 2) + 3x

             = 5x - 2

(s . t)(x) = (2x - 2)(3x)

            = 6x² - 6x

(s . t)(-1) = 6(-1)² - 6(-1)

            = 6 + 6

            = 12

Answer:

625

Step-by-step explanation: