PLEASE help me answer this question!!

Step-by-step explanation:

I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.

1)

y = 7/2 x - 2

so, the first and easiest point is the y-intercept (where x = 0).

x = 0, therefore, y = -2

so, the first point is (0, -2)

for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?

well, x = 2 !

so,

y = 7/2 × 2 - 2 = 7 - 2 = 5

and our second point is (2, 5)

2)

y = -6x + 3

the same principles. first x = 0, therefore y = 3

the first point is (0, 3)

for the second point we can choose any integer x, as all the other terms are integer too.

let's pick x = 1

y = -6×1 + 3 = -6 + 3 = -3

so, the second point is (1, -3)

3)

y = -5

this just means that for every possible value of x the resulting y value is -5.

that means it is a horizontal line through y = -5 or (0, -5)

4)

y = 6/5 x + 1

the same principles. x = 0, therefore y = 1

the first point is (0, 1)

for the second point, again, what x eliminates the fraction and makes all an integer operation ?

well, x = 5.

y = 6/5 × 5 + 1 = 6 + 1 = 7

ok, 7 is off the chart, so let's use x = -5 instead.

y = 6/5 × -5 + 1 = -6 + 1 = -5

so, the second point on the chart is (-5, -5)

The steps to convert Celsius to Fahrenheit has been explained

To convert Celsius to Fahrenheit, use the following formula:

F = (C x 1.8) + 32

Where C represents the temperature in Celsius and F represents the temperature in Fahrenheit.

To use this formula, simply multiply the temperature in Celsius by 1.8 and then add 32 to the result. The final result will be the temperature in Fahrenheit.

It's important to note that Celsius and Fahrenheit are two different temperature scales used in different parts of the world. Celsius is used in most countries, including Europe and Canada, while Fahrenheit is used primarily in the United States.

Therefore, the steps of conversion has been explained

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The given question is incomplete, the complete question is:

How to convert Celsius to Fahrenheit?

Answer:

412 adults

Step-by-step explanation:

Let the number of adults be x

Let the number of children be y

If a total of 1,236 people attended the concert, then;

x + y = 1236 .....1

If there were twice as many adults as children who attended the concert, then;

y = 2x

Substitute y = 2x into 1

x + 2x = 1236

3x= 1236

x = 1236/3

x = 412

Hence 412 adults attended the concert.

Ha: The mean wait time is not 39 minutes.

(b) Select a suitable test statistic (e.g., t or z).

(c) Choose the level of significance (α).

(d) Establish a decision rule based on the test statistic and level of significance to accept or reject the null hypothesis.

(a) Null Hypothesis (H0): The mean wait time at the Space Mountain ride is equal to 39 minutes.

Alternative Hypothesis (Ha): The mean wait time at the Space Mountain ride is not equal to 39 minutes.

(b) Test Statistic: A suitable test statistic needs to be selected based on the given information and assumptions. Commonly used test statistics for comparing means include the t-statistic or z-statistic, depending on the sample size and whether the population standard deviation is known or estimated.

(c) Level of Significance: The desired level of significance, denoted as α, needs to be chosen. This determines the probability of rejecting the null hypothesis when it is actually true. Commonly used levels of significance are 0.05 and 0.01.

(d) Decision Rule: Based on the chosen level of significance, a decision rule is established. It defines the critical region(s) or critical value(s) that determine when to reject the null hypothesis. The decision rule depends on the selected test statistic and the desired level of significance.

To complete the formal hypothesis test, data would need to be collected from the Space Mountain ride to compute the test statistic and compare it against the critical value(s) or critical region(s) defined by the decision rule. The conclusion of the hypothesis test would then be made based on whether the null hypothesis is rejected or not.

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They are similar because it is possible to map one parallelogram to the other using a dilation and a reflection, which are both similarity transformations.

Examples of transformations are given as follows:

All these transformations are similarity transformations, as the figures continue having the same angle measures.

The transformations in this problem are given as follows:

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Answer:1.66 and .1 if you multiply 1/2 and 1/5

And add everything

Step-by-step explanation:

The sum of the given series, which alternates between multiplying by 1/2 and 1/5 to obtain successive terms, is 1.2.

To find the sum of the series, we can analyze the pattern of the terms. The series starts with 1, followed by 1/2, then 1/10, and so on. We can observe that each term is obtained by alternately multiplying the previous term by 1/2 and 1/5.

If we consider the terms as separate subsequences, we can see that the first subsequence is 1, 1/10, 1/100, and so on, which forms a geometric series with a common ratio of 1/10. The sum of this subsequence can be calculated using the formula for the sum of an infinite geometric series: S1 = a / (1 - r), where a is the first term and r is the common ratio. Plugging in the values, we get S1 = 1 / (1 - 1/10) = 1 / (9/10) = 10/9.

Similarly, the second subsequence is 1/2, 1/20, 1/200, and so on, which also forms a geometric series with a common ratio of 1/10. Again, applying the formula, we find S2 = (1/2) / (1 - 1/10) = (1/2) / (9/10) = 5/9.

Now, to find the sum of the entire series, we add the sums of the two subsequences: S = S1 + S2 = 10/9 + 5/9 = 15/9 = 1.666... = 1.2.

Therefore, the sum of the given series is 1.2.

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Answer: 5% increase

Step-by-step explanation:

15.75 (new rate) divided by 15 (old pay rate) = 1.05

1.05=105%=5% increase

The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

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Answer: It would mainly b: (x − 4)(x^2 + 5x + 2) is x^3 + x^2 − 18x − 8.

Step-by-step explanation:

Answer: the figure and it’s image are similar and the image has been translated 3 units up.

Step-by-step explanation:

Answer:

The choice B.

\(f ^{ - 1} (x) = \frac{1}{3} {x}^{2} \)

Answer: B

Step-by-step explanation:

\(f(x)=y=\sqrt{3x} \\\\x=\sqrt{3y} \ exchanging\ x\ and\ y\\\\Finding\ y\\\\x^2=3y\\\\f^{-1}(x)=y=\dfrac{x^2}{3}\)

Answer B

A:

Let x = cheese wafers and Y = chocolate

Set up the two equations:  

Total packets: x + y = 11

Total cost: 3x + 2y = 25

B: Solve:

Rewrite x+y = 11 as x= 11-y

Replace x in the second equation:

3(11-y) + 2y = 25

Simplify:

33-3y +2y = 25

Combine like terms:

33-y = 25

Subtract 33 from both sides:

-y = -8

Divide both sides by -1:

y = 8

Now replace y in the first equation to solve for x:

x +8 = 11

x = 3

They bought 3 cheese wafers and 8 chocolate wafers.

Used the substitution method, which eliminates one of the variables so you can solve for the second variable.

The SSwithin, or the sum of squares within groups, is a measure of the variation within each group of data.

It is calculated as the total sum of squares (SStotal) minus the sum of squares between groups (SSbetween). In this case, we are given SStotal and SSbetween, but we do not have enough information to calculate SSwithin.

We would need to know either the number of groups or the degrees of freedom associated with SSbetween in order to calculate SSwithin using the formula SSwithin = SStotal - SSbetween.

Therefore, the correct answer is D, which needs more information.

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Answer:

Step-by-step explanation:

so...

on your new sheet of paper, draw a straight horizonal line label one end Y the other Z ( Y will be your vertex, point of angle )

then on original figure,  use a compass and put the in B and measure to A

on new sheet put the pin in Y and draw an arc ( lightly )

now back to orig and put pin in C and measure up to A

on new put pin onthe line so that when you draw an arc it will bisect the one you did previously. will will create a point . join the point to Y

hope that makes  some sort of sense.

Answer:

Could be a mix of answers

Step-by-step explanation:

6(x-7y)-300+9y) is what would do

A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.

Correct answer will be b) About an equal number of students had relatively high and relatively low scores.

And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.

This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.

In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.

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Answer:

B. The given value is a for the because the data collected represent a . statistic year sample

Step-by-step explanation:

A population is the total of similar items that are of interest to the researcher.

Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.

A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.

In this scenario the population is the whole year, and the sample is 41 days.

So the mean derived from the sample is statistic of sample from the year.

This can be used to make deductions about the whole year.

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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a) The high temperature for today using a 3-day moving average = 92.7 degrees.

b) The high temperature for today using a 2-day moving average = 91.5 degrees.

c) The mean absolute deviation based on a 2-day moving average = 1.5 degrees.

d) The mean squared error for the 2-day moving average = 2.25 degrees².

e) The mean absolute percent error (MAPE) for the 2-day moving average = 2.9%.

To calculate the high temperature for today using a 3-day moving average, we sum the high temperatures of the last three days (90, 93, and 95), and then divide the sum by 3. This gives us an average of 92.7 degrees, rounded to one decimal place.

For a 2-day moving average, we sum the high temperatures of the last two days (90 and 93), and divide the sum by 2. This gives us an average of 91.5 degrees, rounded to one decimal place.

To calculate the mean absolute deviation based on a 2-day moving average, we first find the absolute difference between each high temperature and the 2-day moving average (91.5 degrees). The differences are 1.5, 1.5, 1.5, 2.5, 3.5, and 1.5. Then, we calculate the average of these differences, which is 1.5 degrees, rounded to one decimal place.

The mean squared error for the 2-day moving average is calculated by squaring the differences between each high temperature and the 2-day moving average (91.5 degrees), and then finding the average of these squared differences. In this case, the squared differences are 2.25, 2.25, 2.25, 6.25, 12.25, and 2.25. The average of these squared differences is 4.83 degrees^2, rounded to one decimal place.

The mean absolute percent error (MAPE) for the 2-day moving average is calculated by finding the absolute difference between each high temperature and the 2-day moving average (91.5 degrees), dividing this difference by the high temperature, and then finding the average of these percentages. The percentages are 1.6%, 1.6%, 1.6%, 2.6%, 3.7%, and 1.6%. The average of these percentages is 2.9%, rounded to one decimal place.

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The Department of Zoology at Virginia Tech conducted a study to compare the density of organisms at two different stations on Cedar Run, a secondary stream in the Roanoke River drainage basin. The study aimed to determine if there was a significant difference in the variances of the number of organisms per square meter of water at the two locations.

To test the hypothesis at the 0.05 level of significance that sigma^2_1 = sigma^2_2 against the alternative that sigma^2_1 ≠ sigma^2_2, we will perform an F-test. Here are the steps:

1. Calculate the sample variances (s^2) for both sets of density measurements.
2. Find the ratio of the larger sample variance to the smaller sample variance: F = (s^2_1) / (s^2_2), where s^2_1 > s^2_2.
3. Determine the degrees of freedom for both sets of data: df1 = n1 - 1 and df2 = n2 - 1, where n1 and n2 are the sample sizes.
4. Find the critical F values for a two-tailed test at the 0.05 level of significance using the F-distribution table, with df1 and df2 as the row and column indexes.
5. Compare the calculated F value to the critical F values. If the calculated F value is between the lower and upper critical F values, then we fail to reject the null hypothesis (sigma^2_1 = sigma^2_2). If the calculated F value is less than the lower critical F value or greater than the upper critical F value, we reject the null hypothesis and accept the alternative hypothesis (sigma^2_1 ≠ sigma^2_2).
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Answer:

x is 33

Step-by-step explanation:

All 3 of these angles added together create a straight line, and such lines always measure 180°, so if we create an equation with the 3 angles being added together, set it equal to 180, and solve, we'll find the answer:

104+x+(x+10)=180

104+x+x+10=180 (use the distributive property to remove parenthesis)

104+10+x+x=180 (rearrange terms)

114+2x=180 (combine like terms)

2x=180-114 (subtract 114 from both sides)

2x=66

x=33 (divide 2 from both sides)

Therefore, the space inside the fence serves as the best indicator of Johnny's home's perimeter.

A perimeter is a closed path that surrounds, encircles, or outlines a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is its circumference. Perimeter calculations have many applications in the real world.

Here,

the grassy area = 40' x 100'

He has numerous outbuildings in the forested area as well, and he mows the area surrounding the trees less regularly than the rest of the yard. A fence completely encloses the area that has been described. He maintains his collection of exotic marijuana plants hidden in the long grass in the area outside the fence, which is an area he does not maintain.

Therefore, the space inside the fence serves as the best indicator of Johnny's home's perimeter.

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A. Scheme (i) is easier to crack compared to scheme (ii).

B. If scheme (i) is used, a 10-char password may be less secure than a 7-char password because it provides the attacker with more information to work with.

A. Scheme (i) is easier to crack compared to scheme (ii) as the attacker can perform a dictionary attack on each half of the password independently. Since there are only 32 possibilities for each character, the total number of possible 7-char passwords is 32⁷. Therefore, an attacker would need to perform 2*(32⁷) hash computations to exhaust all possible passwords.

On the other hand, scheme (ii) requires brute-forcing the entire 14-char password, resulting in 32¹⁴ hash computations. Hence, scheme (ii) is much harder to crack compared to scheme (i).

B. If scheme (i) is used, a 10-char password may be less secure than a 7-char password because it provides the attacker with more information to work with. If an attacker knows that a password is split into two halves of 7 and 3 characters, they can perform a brute-force attack on the 7-char half and use the discovered password to narrow down the search space for the 3-char half. This significantly reduces the number of possible passwords that need to be tested, making the attack much easier and faster.

In contrast, a 7-char password would provide no such information, forcing the attacker to brute-force the entire 14-char password. Therefore, in scheme (i), shorter passwords may be more secure as they provide less information to the attacker and require more brute-forcing.

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Answer:

History test

Step-by-step explanation:

28 divided by 40 is 0.7 which equals 70 percent.

39 divided by 60 is 65 percent .

Answer:

Phil did better on his History test.

Step-by-step explanation:

In the history test, he scored a 28/40. There are many ways to do this, but here is my way. Convert this to decimal to make comparison easy.

28/40 = 0.7

In the Geography test, he scored 39/60. Convert this to decimal as well.

39/60 = 0.65.

Since 0.7 > 0.65, Phil did better on his history test.

The standard deviation of the sampling distribution, also known as the standard error, measures the amount of variability or uncertainty in the estimates of a population parameter (such as the mean) based on a sample. It is calculated as the standard deviation of the sample means (or other statistics) over all possible samples of the same size from the population.

The standard deviation of each sample distribution, on the other hand, measures the amount of variability or spread within the individual sample itself. It is calculated as the standard deviation of the individual observations within the sample.

In general, the standard deviation of the sampling distribution decreases as the sample size increases, and it is used to estimate the uncertainty of the sample statistics. The standard deviation of the each sample distribution does not change with the sample size.

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The amount of money Natasha will spend is $348.

The total money that Natasha will spend is calculated as follows:

Cost of twenty-five hamburger plates = $225

Cost of one hamburger plate = $225/25 = $9

Ten hot dog plates and ten hamburger plates cost a total of $120

Cost of Ten hot dog plates = $120 - ($9 * 10) = $30

Cost of one hot dog plate = $30/10 = $3

Number of people eating hamburger = (52 - 12)/2 + 12 = 32 people

Number of people eating hot dog = 20 people

Amount of money Natasha will spend = 32 * $9 + 20 * $3

Amount of money Natasha will spend  = $348

In conclusion, the money Natasha will spend is obtained from the number of people eating hamburger or hot dog.

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Answer:

50.75 seconds

Step-by-step explanation:

0.0145 x 3500 = 50.75 sec

I hope this helps! Have a nice day!

The value of x  and y in the triangles are -5 and 5 respectively.

Since ΔPQS ≅ ΔRQS, we know that PQ = RS, QP = QS, and ∠P = ∠R.

We are also given that x = RS - PQ and y = QP - RS.

Substituting these equations into the equation PQ = RS, we get x + y = 0.

Therefore, x = -y.

Since x = RS - PQ and y = QP - RS, we know that x and y are the lengths of the two legs of a right triangle.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is PS, so we have:

PS² = x² + y²

We are also given that PS = 10.

Substituting this equation into the equation PS² = x² + y², we get 10² = x² + y².

Solving for x² + y², we get x² + y² = 100.

Since x = -y, we can substitute this equation into the equation x² + y² = 100 to get (-y)² + y² = 100.

Simplifying this equation, we get 2y² = 100.

Dividing both sides by 2, we get y² = 50.

Taking the square root of both sides, we get y = 5.

Since x = -y, we know that x = -5.

Therefore, x = -5 and y = 5.

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In order to determine the value of p(3/4), we just have to replace 3/4 for x, like this:

Then, we just have to simplify this expression to determine the vapue of p(3/4), like this:

By multiplying the denominator and numerator of the second fraction by 2 we can make the the denominator 8 and add the two fractions:

Similarly, by multipling by 8 and dividing by 8 the last term, -9, we get:

Then, th answer is:

Any expression that can be simplified to a ratio of two integers is a rational number.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. Therefore, any expression that can be simplified to a ratio of two integers is a rational number.

Expressions that represent rational numbers include:

1. 5/7 - This is a ratio of two integers (5 and 7) and can be simplified to a fraction.

2. -3/4 - This is a negative ratio of two integers (3 and 4) and can be simplified to a fraction.

3. 0.25 - This is a decimal, but it can be written as 1/4, which is a raio of two integers.

4. -6/8 - This is a negative ratio of two integers (6 and 8) and can be simplified to a fraction.

5. 1/2 + 1/3 - This is the sum of two ratios of integers (1/2 and 1/3), which can be combined and simplified to a fraction.

6. (2x + 3)/(x - 4) - This expression can be simplified to a ratio of two polynomials, but it still represents a rational number because polynomials are just combinations of integers.

In general, any expression that involves only arithmetic operations (+, -, x, ÷) with rational numbers or polynomials will represent a rational number.

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