if f(x) = mx +c, f(4) = 11 and f(5) = 13, find the value of f(2).​

The probability that the student will answer all 7 problems correctly is approximately 0.03498 or 3.498%.

To calculate the probability that the student will answer all 7 problems correctly, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes:

Since the next quiz consists of a random selection of 7 problems out of a set of 14, the total number of possible outcomes can be calculated using the combination formula:

Total possible outcomes = C(14, 7) = 14! / (7! * (14-7)!) = 3432

Number of favorable outcomes:

Since the student has figured out how to do 10 of the problems, we can select all 7 problems from those 10 that the student knows how to solve:

Number of favorable outcomes = C(10, 7) = 10! / (7! * (10-7)!) = 120

Now, we can calculate the probability of answering all 7 problems correctly by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability of answering all 7 problems correctly = Number of favorable outcomes / Total possible outcomes

= 120 / 3432

≈ 0.03498

Therefore, the probability that the student will answer all 7 problems correctly is approximately 0.03498 or 3.498%.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer: 1.5

Step-by-step explanation:

The interquartile range (IQR) is a measure of statistical dispersion and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). For the given dot plot data of the toddler's heights, the data would first be arranged in ascending order, then divided into two halves below and above the median to determine the first and third quartiles.

To find the interquartile range (IQR) in the dot plot data of the toddler's heights at Mrs. Orlando's daycare, we first need to understand what the IQR represents. The Interquartile Range is a measure of where the bulk of the values lie in a data set. It's computed by subtracting the first quartile (Q1) from the third quartile (Q3).

As a first step, you would arrange the data points in ascending order. The median would give us the second quartile (Q2). The data set is then divided into two halves, below and above the median. The first quartile (Q1) is the median of the lower half and the third quartile (Q3) is the median of the upper half. Finally, subtract Q1 from Q3 to find the IQR.

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Answer:

The answer is "descriptive statistics".

Step-by-step explanation:

Descriptive statistics are short descriptive factors that add up a production set, that can be either a reflection of a whole or a sample population. It is broken down into cumulative frequency measurements and variance measurements. The study uses descriptive statistics to explain the profile of the respondents. People give simple summaries about the sample as well as the actions.

Answer:

The complete table is

d               t

1               3

3              9

5              15

Step-by-step explanation:

Here is the correct and complete question:

The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation t = 3d.

Complete the table below.

d               t

1

3

               15

Step-by-step explanation:

For the first space, we are to determine the value of t when d is 1

From the given equation, t = 3d, put d = 1 and determine t

t = 3d

∴ t = 3(1) = 3×1

t = 3

For the second space , we are to determine the value of t when d is 3

Put d = 3 in the equation to determine t

t = 3d

∴ t= 3(3) = 3×3

t = 9

For the third space, we are to determine the value of d when t is 15.

Put t = 15 in the equation and then find d

t = 3d

∴ 15 = 3d

Divide both sides by 3

15/3 = 3d/3

5 = d

∴ d = 5  

Answer:

4π in.

Step-by-step explanation:

formula circumference= 2πr

r = half of diameter

Answer:

n m n .m .nmn nm Step-by-step explanation:

Answer:

sxqdwbvgefccsgcvnevn veb ehev ev nnmb

Step-by-step explanation:

Answer:

Disconformity.

Nonconformity.

Angular unconformity.

Paraconformity.

Buttress unconformity.

Blended unconformity.

Step-by-step explanation:

There are all the Non-conformities so pick the odd one that doesn't have these

The correct answer is option D. 1 1/2. This would mean that the difference between the medians is 1.5 times larger than the interquartile range for the boys.

The median is a measure of central tendency in a set of data, and it is the value that separates the data into two equal parts, with half of the values falling below it and half of the values falling above it. The interquartile range (IQR) is a measure of dispersion that describes the range of values within the middle 50% of the data.

In this case, the difference between the medians of boys and girls is described as a multiple of the interquartile range for the boys. This multiple would represent how many times larger or smaller the difference between the medians is than the IQR for the boys.

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Marilyn sold approximately 28 raffle tickets this week, representing a 75% increase from the previous week's sales.

To find out how many tickets Marilyn sold this week, we first need to determine the 75% increase from last week's sales. Since Marilyn sold 16 tickets last week, we can calculate the increase by multiplying 16 by 0.75 (75% expressed as a decimal). The result is 12, indicating that Marilyn's ticket sales increased by 12 tickets.

To determine the total number of tickets sold this week, we add the increase of 12 to last week's sales of 16 tickets. This gives us a total of 28 tickets sold this week. Therefore, Marilyn sold approximately 28 raffle tickets this week, representing a 75% increase from the previous week's sales of 16 tickets.

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The researcher in question has performed a meta-analysis. A meta-analysis is a statistical method used to synthesize the findings from multiple studies that have investigated a similar research question using the same variables and measurement strategies. In this case, the researcher is interested in examining the relationship between exercise and myasthenia gravis.

The process of conducting a meta-analysis involves several steps. First, the researcher identifies and selects relevant studies that meet specific criteria, such as using the same dependent and independent variables (in this case, exercise and myasthenia gravis). In this scenario, 28 studies were identified that meet these requirements.
Next, the researcher extracts the relevant data from each study, such as effect sizes, sample sizes, and other important information. This allows the researcher to compare and combine the results of the individual studies into a single, comprehensive statistical analysis.

In summary, the researcher has conducted a meta-analysis to synthesize the results from 28 studies examining the relationship between exercise and myasthenia gravis, allowing for a more comprehensive understanding of the topic.

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you used approximately 569 sheets of paper each day.

To determine the number of sheets of paper used each day, we'll first calculate the total number of sheets used in 888 days and then divide it by the number of days.

Total sheets used = Initial number of sheets - Remaining sheets
Total sheets used = 505050 - 222 = 504828 sheets

Now, divide the total sheets used by the number of days:
Sheets used each day = Total sheets used / Days
Sheets used each day = 504828 / 888 ≈ 568.5 sheets

Since you cannot use half a sheet, it is likely a rounding error. So, you used approximately 569 sheets of paper each day.

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Answer:

She had four marbles in four bags. 4m. She had three more marbles.

Step-by-step explanation:

4y+3

Answer:

4m+3

Step-by-step explanation:

I had this same answer in Kahn and got it right

Answer:

8.50x \(\geq\) 348.50

41 hours

Step-by-step explanation:

x= amount of hours

Answer:

D

Step-by-step explanation:

Convenience sampling enables generalizations to a larger group and probability sampling is not "bad."

Any non-sampling technique where units are selected for the sample based on their accessibility to the researcher is called convenience sampling.

This can be due to geographical closeness, availability at a certain time, or participation in the study.

A non-random sampling technique is convenience sampling, also referred to as accidental sampling.

Convenience sampling is commonly used in qualitative and medical research initiatives.

In medical science, convenience sampling typically comprises selecting clinical cases or volunteers from a database of medical data that are accessible nearby (such as at a hospital).

Where it is practicable to do so, convenience sampling is often used in qualitative research in the social sciences and in education, even among groups like these students.

Therefore,

Convenience sampling enables generalizations to a larger group and probability sampling is not "bad."

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The bagel need to be dilated by a scale factor of 25 so as to serve 25 people.

A dilation is the increase or decrease in the size of a figure by a scale factor of k. If k > 1, it is an increase and if k < 1, it is a decrease.

Given that the bagel can serve 1 person each, to serve 25 people:

Scale factor = 25 / 1 = 25

The bagel need to be dilated by a scale factor of 25 so as to serve 25 people.

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Answer:

5 and 15

Step-by-step explanation:

20 = 3x+x

Answer: The smallest number is 20, and the largest number is 27. (27 - 20) + 1 = 8. Eight numbers make 4 pairs, and the sum of each pair is 47. 4 x 47 = 188. The sum of the numbers from 20 to 27 is 188.

The range of the function shown in the graph is the set of all real numbers for y.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The set of input values in the function is called domain and the set of output values are called range of the function.

So the range of the function will be the set of y values.

From the graph, it is clear that, the curve is passing corresponding to every y value.

In other words, if we draw a horizontal lines from curve, all the y values are touching the curve.

So the range is the set of all real numbers.

Hence the range is all the real numbers for y.

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0.529 is the probability that a student does not have a college degree.

From the information given, we know that:

The formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).

Using these values, we can calculate:

P(college degree and B) = (1/2) * (400/850) = 0.235

P(A and B) = 310/850 - 0.235 = 0.07

Finally, we can calculate P(A) using the formula for total probability:

P(A) = 1 - P(college degree)

= 1 - (400/850)

= 0.529

Therefore, the probability that a student does not have a college degree is 0.529.

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The statement suggests that there is likely to be an interaction between nitrogen (N) and phosphorus (P), which are two fertilizer ingredients used to achieve optimum levels in plant growth. However, without further context or specific details, it is uncertain to determine the nature and extent of this interaction.

In agriculture and plant nutrition, both nitrogen and phosphorus are essential elements for plant growth and development. They play crucial roles in various physiological processes and are often supplied through fertilizers to optimize crop yields. The interaction between nitrogen and phosphorus can have significant implications for plant growth and nutrient utilization.

The ratio of nitrogen to phosphorus in the soil can affect nutrient uptake, plant growth, and overall productivity. Different plant species and soil conditions may exhibit varying responses to the interaction between these two fertilizer ingredients. Factors such as soil type, pH, organic matter content, and crop-specific nutrient requirements further contribute to the complexity of this interaction. To fully understand and assess the interaction between nitrogen and phosphorus, detailed research and experimentation specific to the particular context are necessary.

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Answer:

the answer is 220

Step-by-step explanation:

8(27)+4

216 + 4

220

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

\( \Large{\boxed{\sf z= -\dfrac{59}{\: 34} + \dfrac{19}{34}i}} \)

\( \\ \)

To express the given complex number in a + bi form, also known as algebraic form, we will need to define what the conjugate of a complex number is.

\( \\ \)

\( \\ \)

\( \textsf{Let z be our complex number, and} \: \overline{\sf z} \: \textsf{its conjugate.} \)

\( \\ \)

The conjugate of z, \( \overline{ \sf z}, \) is the complex number formed of the same real part as z but of the opposite imaginary part.

Since a is the real part of z, and b is its imaginary part, this can be expressed as:

\( \sf If \: z = a + ib \:, then \: \overline{ \sf z} = a - ib \)

\( \\ \)

\( \\ \)

\( \sf z = \dfrac{7 - 8i}{ - 5 + 3i} \\ \\ \\ \diamond \sf Multiply \: both \: the \: numerator \: and \: the \: denominator \: by \: the \: conjugate \: of \: - 5 + 3i. \\ \\ \\ \sf z = \bigg(\frac{7 - 8i }{ - 5 + 3i \: } \bigg) \times \bigg( \frac{ - 5 - 3i}{ - 5 - 3i} \bigg) = \dfrac{(7 - 8i)( - 5 - 3i)}{( - 5 + 3i)( - 5 - 3i)} \\ \\ \\ \diamond \: \sf Expand \: knowing \: that \: (a + b)(c + d) = ac + ad + bc + bd. \\ \\ \\ \\ \sf z = \dfrac{7( - 5) + 7( - 3i) + ( - 8i)( - 5) + ( - 8i)( - 3i)}{( - 5)( - 5) + ( - 5)( - 3i) + 3i( - 5) + 3i ( - 3i)} \\ \\ \\ \sf z = \dfrac{ - 35 - 21i + 40i + 24 {i}^{2} }{25 + 15i - 15i - 9 {i}^{2} } = \dfrac{24 {i}^{2} + 19i - 35 }{25 - 9{i}^{2} } \\ \\ \\ \diamond \sf \: Substitute \: {i}^{2} = - 1. \\ \\ \\ \sf \: z = \dfrac{24( - 1) + 19i - 35}{25 - 9( - 1)} = \dfrac{ - 24 + 19i - 35}{25 - ( - 9)} = \dfrac{ - 59 + 19i}{34} \\ \\ \\ \diamond \: \sf Simplify \: the \: expression. \\ \\ \sf \: z = \dfrac{ - 59 + 19i}{34} = \dfrac{ - 59}{ \: \: 34} + \dfrac{19i}{34} \\ \\ \\ \\ \implies \boxed{ \boxed{ \sf z = - \dfrac{59}{34} + \dfrac{19}{34}i }} \)

\( \\ \\ \)

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Answer:

12 R cm

Step-by-step explanation:

Answer:

6>x=4

hope that helps!

please mark brainiest<3

Answer:

A. 144 units³

Step-by-step explanation:

Volume of prism= 1/2×height× base × length

Height= 3

Base= 8

Length= 12

Lets put all of these together

1/2×3 × 8 × 12

1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³

The Area Of The Circle Is 452.16

The Circumference Of The Circle Is 75.36

Answer:

Step-by-step explanation:

Dr Davis says that ratios are everywhere like 4 legs on each dog, 2 arms on each person, etc. She also said that ratios can be 5 people per car, 2 people per elevator, etc.

The correct inequality that represents the given graph is "x greater-than-or-equal-to negative 53."

The inequality represented by the given graph is "x greater-than-or-equal-to negative 53."

In the graph, there is a closed circle at negative 53 on the number line. This indicates that the value -53 is included in the solution set. Additionally, everything to the right of the closed circle is shaded, indicating that all values greater than -53 are also part of the solution.

The symbol ">" represents "greater than," and the symbol "≥" represents "greater than or equal to."

Since the closed circle is at -53, which is included in the shaded region, we use the "greater than or equal to" symbol to indicate that the values greater than or equal to -53 satisfy the inequality.

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Answer:

its d

Step-by-step explanation: