H(x)=3x-4 complete function table

Answer:

yes

Step-by-step explanation:

First we should find a GCF for the number of boys and girls.

The gcf for the two would be 4.

Divide.

20/4 = 5

28/4= 7

therefore the ratio for boys to girls would be 5 to 7

Answer:

y = \(\frac{24}{x}\)

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

To find k use the condition y = 4 when x = 6 , then

4 = \(\frac{k}{6}\) ( multiply both sides by 6 )

24 = k

y = \(\frac{24}{x}\) ← equation of variation

Answer:

Harry made 49 pieces of rope.

There were 395-392=3 feet of rope left

Step-by-step explanation:

Division

Harry has a rope 395 feet long. He wants to cut it into pieces 8 feet long each.

To find the number of pieces, we use division

395/8=49.375

Since the division is decimal, we cannot say Harry had 49.375 pieces of rope.

We must use the previous integer number:

Harry made 49 pieces of rope.

Since 49*8=392 feet

There were 395-392=3 feet of rope left

Answer:

The answer is 1.41 times

Step-by-step explanation: I had the

Answer:

1.41

Step-by-step explanation:

Answer:

∠ ADB = 29°

Step-by-step explanation:

∠ ADB + ∠ BDC = ∠ ADC , that is

53° + ∠ BDC = 82° ( subtract 53° from both sides )

∠ BDC = 29°

Answer:

the value of BDC(angle on D) is 29

When we are finding f(x) given a value of x, we must identify the value of y that results from the value of x.

We are asked to find f(2).

On the graph, first find the location of x=2.

Then, identify where the function is at x=2.

Finally, identify the corresponding y-value: 12.

The value of f(2) is 12.

Answer:

d

Step-by-step explanation:

Answer:

Let T show the total number of stops in 100 rolls. According to Central limit theorem, sampling distribution of sample sum will be approximately normal distribution with following parameters

Answer:

{0, 6, 10}

Step-by-step explanation:

Well let's first graph,

f(x) = 4x + 6

Look at the image below ↓

If some of the domain is {-1, 0, 2},

then some of the range is the range is {0, 6, 10}.

Thus,

the range is {0, 6, 10}.

Hope this helps :)

Answer:

9. Second part \( (30\div 6)\)

10. 7.6u (first part)

Step-by-step explanation:

9. Second part \( (30\div 6)\)

10. 7.6u (first part)

Answer:

289.8................

Answer:

289.8

Step-by-step explanation:

420 x 0.69 = 289.8

nice

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer:

a = 3

Step-by-step explanation:

since the parabola passes through (7, 27 ) then te coordinates of the point make the equation true.

substitute x = 7 and y = 27 into the equation and solve for a

27 = a(7 + 2)(7 - 6) = a(9)(1) = 9a ( divide both sides by 9 )

3 = a

\(\\ \sf\longmapsto \dfrac{20}{3x-18}=\dfrac{15}{9}\)

\(\\ \sf\longmapsto 300=15(3x-18)\)

\(\\ \sf\longmapsto 300=45x-270\)

\(\\ \sf\longmapsto 45x=570\)

\(\\ \sf\longmapsto x\approx 13\)

Answer:

• from scale factors, big triangle : small triangle

\(\dashrightarrow \: { \tt{ \frac{24}{(24 - 9)} = \frac{(3x - 18) + 20}{20} }} \\ \\\dashrightarrow \: { \tt{20 \times 24 = (3x + 2) \times 15}} \\ \\ \dashrightarrow \: { \tt{480 = 45x + 30}} \\ \\ \dashrightarrow \: { \tt{45x = 450}} \\ \\ \dashrightarrow \: { \boxed{ \tt{x = 10}}}\)

• The missing length:

\( = { \tt{3x - 18}} \\ \\ = { \tt{3(10) - 18}} \\ \\ = { \tt{30 - 18}} \\ \\ \dashrightarrow \: { \boxed{ \boxed{ \tt{ \: \: missing \: length = 12 \: \: }}}}\)

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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Answer:

$51, 200

Step-by-step explanation:

First is to find the increase of tuition

$3,200 × .8 = $2560

then subtract the year.

2020-2000=20

lastly multiply the year and the increase of tuition to know the final answer

$2560 × 20 = $51,200

The statement " Time plots are special scatterplots where the explanatory variable, x, is a measure of time" is true because time plots are scatterplots where the x-axis represents time, and they are commonly used to visualize trends and patterns in time series data.

A time plot is a type of scatterplot where the x-axis represents time and the y-axis represents a response variable. Time plots are useful for displaying data that change over time and can reveal trends, patterns, and seasonality in the data. They are commonly used in fields such as economics, finance, and social sciences to analyze time series data.

By visualizing data over time, time plots can help to identify relationships, outliers, and potential forecasting models. Overall, time plots are a powerful tool for analyzing and understanding trends and patterns in time series data.

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The given question is incomplete, the complete question is:

Time plots are special scatterplots where the explanatory variable, x, is a measure of time. True or false

From the given picture, we can note that

Similarly,

In the same way, we have

and finally,

A compound inequality that show these GDP rates is: C. 7.1 ≤ g ≤ 7.9.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Let the variable g represent the gross domestic product (GDP) growth rate. Since economists recommend that the gross domestic product (GDP) growth rate should be between 7.1 and 7.9 percent inclusively, a compound inequality to represent this situation is given by;

7.1 ≤ g ≤ 7.9

In conclusion, a graph of this compound inequality is shown in the image attached below.

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Complete Question:

Economists recommend that the GDP (gross domestic product) growth rate of a nation be between 7.1 and 7.9 percent inclusively. Identify the compound inequality and graph that show these GDP rates.

7.1 < g <7.9

7.1 ≤ g <7.9

7.1 ≤ g ≤ 7.9

7.1 < g ≤ 7.9

The width is less than 13

Let the width of the rectangle be represented by w

Therefore, the length will be: 2w + 8

Based on the information given, the inequality to solve the question will be:

2w + 8 < 34

Collect like terms

2w < 34 - 8

2w < 26

Divide both side by 2

2w/2 < 26/2

w < 13

Therefore, the width is less than 13.

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The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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Answer:

C) 3

Step-by-step explanation:

Answer:

I'm 90 percent sure it's zero could be 3 though

Step-by-step explanation:

There were 7 number of pieces that were in the puzzle that took the child 30 seconds to complete,that can be found using the data given & the coordinates on the graph (7,30) which indicates the number of pieces as 7 and time as 30 sec.

What is data?

Data is the collected information that can be arranged and used for analysing or interpretation. The collected data is also called as raw data, which further needs to be arranged. The data can be represented visually, in tabular form , grouped or ungrouped form. Pictographs, bargraphs, box-whisker plot, line plot, histogram, pie chart are the visual representations.

Here given that the data is arranged in the form of graph containing x-axis & y-axis. Data collected/arranged represents the number of pieces contained in the puzzle & the time taken to solve it.

X-axis represents the number of pieces in the puzzle & Y-axis represents the time taken to complete that.

The points plotted on graph are:

(4,15): Number of pieces=4

         Time taken to complete=15 seconds

(5,15):Number of pieces=5

         Time taken to complete=15 seconds

(7,30): Number of pieces=7

         Time taken to complete=30 seconds

(8,25): Number of pieces=8

         Time taken to complete=25 seconds

(12,40): Number of pieces=12

         Time taken to complete=40 seconds

∴The puzzle that was completed by child in 30 seconds contained 7 pieces.

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Refer to the attachment for the graph.

Answer:

11

Step-by-step explanation:

PEMDAS

Answer: 56-70+35 hope this helps

Step-by-step explanation: -7x-8 (neg x neg = positive), -7x10, -7x-5

Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

The keys in the binary search tree will be visited in the following order in an inorder traversal: 12, 23, 25, 30, 37, 40, 45, 50, 60, 75, 80, 88.

In an inorder traversal of a binary search tree, the keys are visited in ascending order. Starting from the left subtree, the left child is visited first, followed by the root, and then the right child. This process is then repeated for the right subtree. So, the keys are visited in ascending order from the smallest to the largest value in the tree. In the given binary search tree, the sequence of keys visited in an inorder traversal is 12, 23, 25, 30, 37, 40, 45, 50, 60, 75, 80, 88.

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The ladder should be about 10.44 feet long (rounded to the nearest hundredth of a foot) for Joseph to reach the window 10 feet above the ground when the ladder is 3 feet away from the wall.

To solve this problem, we'll use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c² = a² + b².

In this case, the ladder acts as the hypotenuse, the distance from the wall to the ladder's base is one side (a = 3 feet), and the height of the window is the other side (b = 10 feet).

Using the Pythagorean theorem:
c² = (3)² + (10)²
c² = 9 + 100
c² = 109

Now, to find the length of the ladder, we'll take the square root of 109:
c ≈ √109
c ≈ 10.44

So, Joseph should use a ladder that is approximately 10.44 feet long, rounded to the nearest hundredth of a foot.

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a. The probability that a patient experiences relief is 0.9.

b. The probability that at least 10 patients experience relief is 0.9988 (rounded to four decimal places)

c. The probability that at most 7 experience relief is 0.0007 (rounded to four decimal places)

d. The average number of patients who experience relief is 1.14 (rounded to two decimal places)

e. The probability that none of the 15 patients experience relief is 1.0E-15 (rounded to scientific notation)

a. The probability that a patient experiences relief is 0.9. The probability that all 15 experience relief is given by:

P(all 15 experience relief) = (0.9)^15 = 0.2059 (rounded to four decimal places)

b. The probability that at least 10 patients experience relief can be calculated by adding the probabilities of 10, 11, 12, 13, 14, and 15 patients experiencing relief:

P(at least 10 experience relief) = P(10) + P(11) + P(12) + P(13) + P(14) + P(15)

where P(k) represents the probability that k patients experience relief. Each P(k) can be calculated using the binomial probability formula:

P(k) = (15 choose k) * 0.9^k * 0.1^(15-k)

Using a calculator or software, we can find:

P(at least 10 experience relief) = 0.9988 (rounded to four decimal places)

c. The probability that at most 7 patients experience relief is the same as the probability that 8 or fewer patients experience relief. We can use the complement rule to calculate this probability:

P(at most 7 experience relief) = 1 - P(more than 7 experience relief)

To find P(more than 7 experience relief), we can add the probabilities of 8, 9, ..., 15 patients experiencing relief:

P(more than 7 experience relief) = P(8) + P(9) + ... + P(15)

Again, each P(k) can be calculated using the binomial probability formula. Using a calculator or software, we can find:

P(at most 7 experience relief) = 0.0007 (rounded to four decimal places)

d. The average number of patients who experience relief is given by the expected value of a binomial distribution:

E(X) = np

where X is the number of patients who experience relief, n is the sample size (15), and p is the probability of success (0.9). Thus,

E(X) = 15 * 0.9 = 13.5

The standard deviation of a binomial distribution is given by the square root of the variance:

s = sqrt(np*(1-p))

Thus,

s = sqrt(150.90.1) = 1.14 (rounded to two decimal places)

e. The probability that none of the 15 patients experience relief is given by:

P(none experience relief) = 0.1^15 = 1.0E-15 (rounded to scientific notation)

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