Hondo owed $9 (-9) to Juanita. He owed 8 times that much to Miguel. How much did heowe to Miguel?- Hondo owes Miguel $63.- Hondo owes Miguel $72.- Hondo owes Miguel $64.- Hondo owes Miguel $81.

Answer:

1.

\(x \leqslant s\)

2.

\(x \geqslant p\)

3.

\(x \leqslant f\)

4.

\(x \leqslant t\)

Answer:

around 45 minutes

Step-by-step explanation:

it takes about 15 minutes to do 1 mile, do the correct math, it'll take about 45 minutes to do 3 miles

The empirical rule may be used to determine the percentage of data values that must be within only one, two, and three standard deviations of the mean for data having a bell-shaped distribution.

The 68 95 99 rule, commonly referred to as the empirical rule in statistics, asserts that given normal distributions, 68% of observed data points will fall within one standard deviation from the mean, 95% will fall between two standard deviations, and 99.7% will happen within three standard deviations.

Fairly anticipate that your data will resemble a normal distribution, the empirical rule, the mean, as well as the standard deviation become even more beneficial. Determine probabilities and percentages for many events just by knowing these two statistics.

The term "empirical rule" derives from empirical research, which relies on measurements and observations of actual results rather than theory. In other words, the term "empirical" denotes a foundation in actuality.

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Answer:

Step-by-step explanation:

Slope of perpendicular line = \(\frac{-1}{m}\)

       = -1 ÷ \(\frac{-5}{3}\)

        \(= -1 *\dfrac{-3}{5}\\\\=\dfrac{3}{5}\)

Answer:

13.83

Step-by-step explanation:

\(hf = \sqrt{({6 - 6 })^{2} +( {2 - 5)}^{2} }\)

\( = \sqrt{0 + {( - 3)}^{2} } \)

\( = \sqrt{0 + 9} = \sqrt{9} = 3\)

\(gf = \sqrt{ {(6 - 1)}^{2} + {(2 - 2)}^{2} } \)

\( = \sqrt{ {5}^{2} + {0}^{2} } \)

\( = \sqrt{ {5}^{2} } = 5\)

\(gh = \sqrt{ {(6 - 1)}^{2} + {(5 - 2)}^{2} } \)

\( = \sqrt{ {5}^{2} + {3}^{2} } \)

\( \sqrt{25 + 9} \)

\( = \sqrt{34} = 5.83\)

perimeter = 3+5+5.83 = 13.83

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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The probability\(\( P(0 \leq z \leq 0.59) \)\) is approximately 0.2236.

To calculate the probability, we need to find the area under the standard normal curve between 0 and 0.59. This can be done by using the standard normal distribution table or a calculator.

The table provides the cumulative probability up to a given z-value. For 0, the cumulative probability is 0.5000, and for 0.59, the cumulative probability is 0.7224. To find the probability between these two values, we subtract the cumulative probability at 0 from the cumulative probability at 0.59:

0.7224

−

0.5000

=

0.2224

0.7224−0.5000=0.2224. Rounded to four decimal places, the probability is approximately 0.2217.

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The two pairs of Adjacent angles in the figure are:

∠1 and ∠3, ∠3 and ∠7.

The correct option is c.

In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:

Adjacent angles to ∠1:

∠1 and ∠5

∠1 and ∠3

Adjacent angles to ∠3:

∠3 and ∠1

∠3 and ∠7

Adjacent angles to ∠5:

∠5 and ∠1

∠5 and ∠7

Adjacent angles to ∠7:

∠7 and ∠3

∠7 and ∠5

Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.

from the given choices,

∠1 and ∠3, ∠3 and ∠7

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The ratio of the volume of the smaller cone to that of the original cone is equal to the cube of the ratio of their corresponding heights, which is (h'/h)³.

Let's consider the original cone with height h and radius r. When the cone is cut by a plane parallel to its base, a smaller cone is formed with a height h' and radius r'. Since the smaller cone is similar to the original cone, the ratios of their corresponding dimensions are equal.

The height ratio between the smaller cone and the original cone is h'/h, and the radius ratio is r'/r. Since the cones are similar, these ratios are the same. Therefore, we can express the ratio of their heights as r'/r = h'/h.

The volume of a cone is given by the formula V = (1/3)πr²h. Therefore, the volume ratio of the smaller cone to the original cone is (1/3)π(r')²(h') / (1/3)πr²h, which simplifies to (r'/r)²(h'/h).

Since we know that r'/r = h'/h, we can substitute this value into the volume ratio expression, giving us (h'/h)²(h'/h) = (h'/h)³.

Thus, the ratio of the volume of the smaller cone to that of the original cone is equal to the cube of the ratio of their corresponding heights, which is (h'/h)³.

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Answer:

23 friends

Step-by-step explanation:

Let the number of friends she has = x

Total number of gum = 47 pieces

She gave 2 each to her friends, hence:

2x + 1 = 47

2x = 47 - 1

2x = 46

x = 46/2

x = 23

Therefore, the number of friends she has is 23

Answer:

He makes $1 every 2 minutes

Step-by-step explanation:

If you break it down 60 minutes is in an hour and he works for 3 hours total so you multiply 60×3 which is 180 that's how many minutes he works for. Then you take the money he made and take the minutes and divide it by the money 180÷90=2 so he make $1 every 2 minutes

Answer:

11.9* 22.1= 262.99

I would honestly use a calculator for math like this, lol.

Answer:

262.99

Step-by-step explanation:

hope it helps. :)

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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Whenever possible, research should be designed so that the data can be anlyzed using option (a) statistics

-This includes both parametric tests (which assume that the data is normally distributed and meet certain assumptions) and non-parametric tests (which do not make these assumptions and are useful for non-normal data). SPSS is a software program commonly used for statistical analysis, but it is not necessary for conducting statistical analyses.

a. statistics

Research should be designed so that the data can be analyzed using statistics. Statistics provide a set of methods and tools for analyzing and interpreting data, which can help researchers draw meaningful conclusions from their findings. Statistical analysis can be used to identify patterns, trends, and relationships in data, as well as to test hypothesis and make predictions.

Depending on the research question, data type, and sample size, different types of statistical tests may be appropriate. Both parametric and non-parametric tests can be used to analyze data, depending on the assumptions made about the underlying distribution of the data and the level of measurement of the variables. SPSS is a statistical software program that can be used to perform statistical analysis, but it is not necessary for designing research studies or analyzing data.

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Answer: 2c + 2 = 16

Step-by-step explanation:

One group has 2 more than the other.

That means in total, they are the same but + 2.

Only 2c + 2 = 16 represents this.

Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer:

This means it is between 22000000 m and 44000000 m.

Step-by-step explanation:

From the question, the UAE Hope Pobe is between 22 000 km and 44 000 km away from Mars.

Since,

1 000 m = 1 km

Then,

22 000 km = 22 000 x 1000 m

                   = 22000000 m

also,

44000 km = 44000 x 1000 m

                  = 44000000 m

Therefore, the Probe is between 22000000 m and 44000000 m.

Ileana  have to invest for 8 years :

Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.

The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.

Principal amount = $15,500

interest = $5,084

Time = ?

Rate = 4.1% simple interest

to find the simple interest :

                                         I = \(\frac{(p*t*r)}{100}\)

       Then:

         Time = \(\frac{I*100}{P*R}\)

                  = \(\frac{(5084*100)}{(15500*4.1)}\)

                  = \(\frac{508400}{63,550}\)

                  = 8 years

Ileana  have to invest for 8 years

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Answer:

\(3^{0} =1\)

Step-by-step explanation:

By taking A as our domain and B as our range, we will see that the relation is {(6, 3), (10, 5), (14, 7)}

Here we have:

And we want to find the relation:

y = (1/2)*x in AxB.

So, we take values from A, and we input them in the given function, and then we must see if the outcome is in B.

For each value in A we will have:

y = (1/2)*6 = 3

(6, 3)

y = (1/2)*10 = 5

(10, 5)

y = (1/2)*14 = 7

(14, 7)

So we have 3 points that define the relation in AxB:

{(6, 3), (10, 5), (14, 7)}

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The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.

This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.

If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.

Then, we have:

0 ≤ Sn ≤ M1 for all n (Sn is bounded)

0 ≤ Tn ≤ M2 for all n (Tn is bounded)

Now, let's consider the partial sums of the series ∑an∑bn:

Pn = a1(T1) + a2(T2) + ... + an(Tn)

Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.

Using the properties of the partial sums, we have:

0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)

Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.

Therefore, the given statement is True.

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Not really ready. But will be! FYI that's not really a question.

Answer: what is your question. show full picture

Step-by-step explanation:

Answer:

1. A) a=c-b, B) b=c-a

2. A) a = b +c. B) c=-b+a

3. A) P= \(\frac{s}{qr}\) B) r = \(\frac{s}{pq}\)

Step-by-step explanation:

By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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The value of the right Riemann sum approximation for integral ∫₀² f(x) dx is (c) 60.

The right Riemann sum approximation is obtained by dividing the interval [0, 2] into four subintervals of equal length and evaluating the function at the right endpoints of each subinterval. In this case, each subinterval has a length of (2-0)/4 = 0.5. The right endpoints of the subintervals are 0.5, 1.0, 1.5, and 2.0.

To calculate the right Riemann sum, we evaluate the function at these right endpoints and sum up the values multiplied by the subinterval length.

f(0.5) = \(9^{0.5\) = 3

f(1) = 9¹ = 9

f(1.5) = \(9^{1.5\) = 27

f(2) = 9² = 27

The right Riemann sum is then

= (0.5 * f(0.5)) + (0.5 * f(1.0)) + (0.5 * f(1.5)) + (0.5 * f(2.0))

= 0.5 * (3 + 9 + 27 + 81)

= 60.

Therefore, the value of the right Riemann sum approximation for ∫2 to 0 f(x) dx is 60, which corresponds to option (c).

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Given question is incomplete, the complete question is below

let f be the function given by f(x)= 9ˣ, if four subintervals of equal length are used, what is the value of the right riemann sum approximation for∫₀² f(x) dx. 20b. 40c. 60d. 80

Answer: B -4

Step-by-step explanation:

Value of coefficient of the squared term in the parabola's equation = -4

Correct option is B.

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

Given,

Vertex of parabola (h,k) = (3, 5)

y = 6 for x = -1

Parabola opens horizontally left side

Vertex-form equation of parabola

x = a(y - k)² + h

-1 = a(6 - 5)² + 3

-1 = a(1) 3

a = -4

Hence, -4 is value of coefficient of the squared term in the parabola's equation.

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The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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