Megan performs an experiment in her science class, with two chemicals X and Y and a catalyst Z. She notices that there is a reaction when the two chemicals are mixed together. The temperature of the reaction with respect to time is shown in the following graph.​

Answer:Mike has $100. He wants to buy a bike that costs $75 and three speakers that cost $30 each. trade of is example of Opportunity cost

Step-by-step explanation:

After constructing the scatter-plot chart, we can find that the Final and Mid-term have a negative relationship.

Dots are used in a scatter plot, also known as a scatter chart or scatter graph, to represent the values of two different numerical variables. The values of a data point are represented by the position of each dot on the horizontal and vertical axes. To view relationships between variables, utilize scatter plots. Scatter plots are primarily used to evaluate and present correlations between two numerical variables. When the data are viewed as a whole, the patterns shown by the dots in a scatter plot are in addition to the values of the individual data points.

Now in the given question, after drawing the scatter chart we can see a strong downward slope which represents a negative linear relationship.

Therefore, the Final and Mid-term have a negative relationship.

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The complete question is:

The accompanying table shows a portion of mid-term and final grades for 32 students.

Construct a scatterplot of Final against Mid-term. Given the scatterplot, which statement best describes the relationship between the Final and Mid-term?

A. Final and Mid-term have a negative relationship.

B. Final and Mid-term have a positive relationship.

C. Final and Mid-term have no relationship.

D. Final and Mid-term have a U-shaped (nonlinear) relationship.

According to the information, we can infer that the equation expressed by the parable symmetry axis is x = −b2a.

The symmetry axis of a parable is a term that refers to a vertical line that divides the parable into two congruent halves. The axis of symmetry always passes through the vertex of the parable.

To find the symmetry axis of this parable we must perform the following procedure taking into account the following information:

Additionally, we must compare the equation with y = ax2+bx+c to find the values of a, b, and c. Then these values would be like this:

According to the above, we can replace these values to solve the equation of axis of symmetry. then, the graph of a quadratic equation in the form Y = Ax2+Bx+C has ss its axis of symmetry the line X = −B2a.

Note: This Question is incomplete. Here is the complete information:

Attached Image

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Check the picture below.

Using exponent rules we can simplify the expression to get:

√y³⁶ =  y¹⁸

Here we want to simplify the expression below:

√y³⁶

Remember that the square root is equivalent to an exponent of 1/2, then we can rewrite:

√y³⁶ = (y³⁶)¹´²

And that will be equal to:

(y³⁶)¹´² = y³⁶´² = y¹⁸

That is the expression simplified.

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Answer:

D) -53.23

Step-by-step explanation:

Use PEMDAS to evaluate the expression

We do parentheses first.

[tex]|65.45-42.45|-76.23[/tex]

Evaluate what's inside of the absolute value bracket.

[tex]|23|-76.23[/tex]

Simplify

[tex]23+-76.23[/tex]

Evaluate

-53.23

Answer:

A. 25% off $20

C. $14 plus 7% sales tax

D. $14 plus 7% sales tax

E. 20% off $18 then a 10% shipping fee

Step-by-step explanation:

The rest i did the math and it doesnt add up. But your option B. is either typoed or i dont know. If its a typo then include that in your answer as well

Answer:

Can u make the question more clear?

Refer to the image attached.

The answers to the probability problem have been stated below

The mean of the distribution would be 29

The standard deviation would be  8.7/√40 = 1.38

If the sample was larger, the mean would stay the same, the standard error would decrease.

3. The corresponding z score with

43.8 - 29 / 8.7

= 1.70

b. z = (43.8-29)/(8.7/√40) = 8.94

14.8 /1.38

= 10.7

c) the fisherman is more likely to catch one fish

d) z = (30.8-29)/(8.7/√40) = 1.26

= 1.8 / 1.38

= 1.304

e) He is more likely to catch 40 fishes.

4.a) Proportion in the middle = 0.95

Proportion on left and right side of normal curve = (1-0.95)/2

= 0.025

Z score at p = 0.025 using excel = NORM.S.INV(0.025) = 1.96

X1 = µ - z*σ = 29 - (1.96)*8.7

= 11.948

X2 = µ + z*σ = 29 + (1.96)*8.7

= 46.052

between 11.948 and 46.052

b)

Proportion in the middle = 0.95

Proportion on left and right side of normal curve = (1-0.95)/2 = 0.025

NORM.S.INV(0.025) = 1.96

x1 =  29 - (1.96)*8.7/√40

= 29 - 2.698

= 26.30

x2 = 29 + 2.698

= 31.698

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The probability that the arrow will land on an even number is 1/2.

Option D) 1/2 is the correct answer.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

the probability that the arrow will land on an even number:

Given that;

Total number of Integers on the spinner = 8

Total number f even integers on the spinner = 4

Probability that the arrow will land on an even number = ?

The probability that the arrow will land on an even number will be;

P = Total number f even integers on the spinner / Total number of Integers on the spinner

P = 4 / 8

P = 1/2

Therefore the probability that the arrow will land on an even number is 1/2.

Option D) 1/2 is the correct answer.

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Answer:

A. Image shows the two circles

B. he ordered point(2, 0) will go to the ordered pair [tex]\mbox{\large \left(\boxed{1}, \boxed{0}\right)}[/tex]'

C. The small circle is a [tex]\boxed{\textsf{copy}}[/tex] of the larger one using the origin as a center and a scale factor of [tex]\boxed{\dfrac{1}{2}}[/tex]

*** I am guessing what word goes into the first box. It should be something that is close to the word copy. The words replica or duplicate could be other choices If you are unable to come up with a choice, post the answer choices as a comment and I can be more specific ***

Step-by-step explanation:

A. Image shows the two circles

B. The larger circle x² + y² = 4 is dilated by a factor of 1/2

The ordered point(2, 0) will go to the ordered pair (2/2, 0/2) = (1,0)

C. What do you notice about the two circles?
They are concentric circles with origin(0, 0) as the center

The small circle is a copy of the larger one using the origin as a center and a scale factor of 1/2

* I do not know what your answer choices are. I have just filled in a term which indicates the relationship.

The smallest number in our sample of 11 numbers that is greater than or equal to 40% of the numbers.

In arithmetic, a percentage is a ratio or ratio that is presented as a part of 100. Usually, the acronyms "pct.," "pct," and "pc" are also utilized. Yet it is broadly classified into the following by the percent sign, "%." The % sum has no dimensions. Rates are essentially fractions when the sum is 100. Use the percent sign (%) to indicate that a number seems to be a percentage by placing it next to it. For illustrate, you score a 75% if you properly answer 75 out of 100 respondents on a test (75/100). Divide the money by total and multiply it by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

The 40th percentile's ordinal rank is equal to (40/100) X 10 (or 4).

50 is the 40th percentile and the following rank is 5 with 50 as the data value.

We observe that 50 is greater than 10, 20, 30, or 40% of the data,

4/10 = 0.4.

The smallest number in our sample of 11 numbers that is greater than or equal to 40% of the numbers.

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Therefore , the solution of the given problem of percentage comes out to be $18 is the original price.

In mathematics, a percentage is any value that can be represented as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." Nonetheless, it is typically denoted by the "%" symbol. The proportional amount is flat and lacks any dimensions. As percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

To determine the sale price of the jeans including tax, Jo should follow these steps:

Find the sale price of the jeans before tax:

Sale price = Original price - Discount

= $30 - 40%($30)

= $30 - $12

= $18

Find the tax amount by multiplying the sale price by the tax rate (which varies depending on the location):

Tax amount = Sale price x Tax rate

Add the sale price and the tax amount to get the total cost:

Total cost = Sale price + Tax amount

So the best plan for Jo to determine the sale price including tax would be to follow the above steps using the applicable tax rate in their location.

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the variance will be 0.6217.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

A small data analysis class has six computer science majors among the fourteen total students.

Three people are chosen at random to form a group.

here this is hypergeometric distribution with parameter n=sample size =3 ; N =population size =14

and k=computer sience major =6

a) E(X) =nk/N =3*6/14 =18/14 =9/7 =1.2857

b)|varaince =σ²=(nk/N)*(1-k/N)*(N-n)/(N-1)) =(3*6/14)(1-6/14)*(14-3)/(14-1)= 0.6217

Hence, the variance will be 0.6217.

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The point slope form of a linear equation is an equation that describes the relationship between two variables, x and y, in terms of their linear relationship.

It takes the form:.y - y₁ = m(x - x₁)

where (x₁, y₁) is a point on the line and m is the slope of the line.

In this form, you can find the equation of a line if you know a point on the line and the slope of the line. You can also use this form to find the equation of a line if you are given two points on the line, by first finding the slope using the two points, and then plugging in one of the points and the slope into the equation.

The point slope form can be useful in a variety of contexts, such as in graphing and in solving problems involving rates of change.

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Answer:

48.

Step-by-step explanation:

Area of a rectangle formula is [tex]l[/tex]·[tex]w[/tex]

[tex]6[/tex] · [tex]8[/tex] [tex]= 48[/tex]

Thus, the area of the rectangle equals 48.

Answer:

36 green marbles

Step-by-step explanation:

If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:

Green marbles = 60% x 60 marbles

To simplify this calculation, we can convert 60% to a decimal by dividing by 100:

Green marbles = 0.60 x 60 marbles

Green marbles = 36 marbles

Therefore, Rudy received 36 green marbles.

Answer: 36

Step-by-step explanation:

60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36

The period of the sine function is given as follows:

2π.

Hence the frequency is given as follows:

0.5/π Hz.

The standard definition of a sine function is given as follows:

y = Asin(Bx + C) + D.

The parameters are given as follows:

A: amplitude.

B: the period is 2π/B.

C: phase shift.

D: vertical shift.

From the function defined in this problem, the parameter B is given as follows:

B = 1.

Hence the period of the function is given as follows:

P = 2π/1 = 2π.

The frequency is the inverse of the period, hence it is given as follows:

f = 1/p

F = 1/(2π)

F = 0.5/π Hz.

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The amount of cards in each row is a factor of 60 in each scenario, ensuring that Vildia will utilize all 60 cards and that there will be an equal number of cards in each row.

In mathematics, a combination is a way of selecting a subset of items from a larger set, where the order of the selected items does not matter. A combination is different from a permutation, which is a way of selecting a subset of items from a larger set, where the order of the selected items does matter.

Here,

If Vildia wants to set up a card game using 60 cards and wants to make an array with the same number of cards in each row, she could arrange the cards in the following ways:

1 x 60: In this case, Vildia would arrange all 60 cards in a single row.

2 x 30: In this case, Vildia would arrange the cards in two rows, each containing 30 cards.

3 x 20: In this case, Vildia would arrange the cards in three rows, each containing 20 cards.

4 x 15: In this case, Vildia would arrange the cards in four rows, each containing 15 cards.

5 x 12: In this case, Vildia would arrange the cards in five rows, each containing 12 cards.

6 x 10: In this case, Vildia would arrange the cards in six rows, each containing 10 cards.

10 x 6: In this case, Vildia would arrange the cards in ten rows, each containing 6 cards.

12 x 5: In this case, Vildia would arrange the cards in twelve rows, each containing 5 cards.

15 x 4: In this case, Vildia would arrange the cards in fifteen rows, each containing 4 cards.

20 x 3: In this case, Vildia would arrange the cards in twenty rows, each containing 3 cards.

30 x 2: In this case, Vildia would arrange the cards in thirty rows, each containing 2 cards.

60 x 1: In this case, Vildia would arrange all 60 cards in a single column.

Note that in each case, the number of cards in each row is a factor of 60, which ensures that Vildia will use all 60 cards and that there will be an equal number of cards in each row.

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The required measures of the angles are the following: ∠J = 135°, ∠F = 45°, ∠B = 135°, and ∠C = 22°.

The supplementary angles are illustrated as when pairing of angles addendum to 180° then they are called supplementary angles.

The measure of the angles are given as follows:

∠I = 22°

∠A = 23°

∠J = 180° - ∠I - ∠A (sum of interior angles in a triangle)

∠J = 180° - 22° - 23° = 135°

∠F = 180° - ∠J (supplementary angles)

∠F = 180° - 135° = 45°

∠B = 360° - 90° - 90° - 45° (sum of interior angles in the quadrilateral)

∠B = 135°

∠C = 180° - ∠A - ∠B (sum of interior angles in a triangle)

∠C = 180° - 23° - 135° = 22°

Thus, the required measures of the angles are the following: ∠J = 135°, ∠F = 45°, ∠B = 135°, and ∠C = 22°.

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The conditions which will construct a triangle as required to be identified are;

The triangle inequality theorem suggests that the sum of any two side lengths of a triangle must be greater than the third side and the difference of any two side lengths must be less than the third side.

Also, the sum of interior angles of a triangle is; 180°.

Hence, the conditions as required are; Angles 20°, 150°, 10° and Side lengths 11 cm, 4 cm, 8 cm.

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Answer: 1/64 cubic inch

Step-by-step explanation:

Side of cube = 1/4

Volume = s^3 = 1/4^3

= 1/64

Hope this helps!!

Yes, to see if there is a non-linear relationship between X and Y.

The intensity and direction of a relationship between two variables is indicated by a correlation coefficient, which is a number between -1 and 1. In other words, it illustrates the degree to which measurements of two or more variables are comparable throughout a dataset.

Given:

The correlation coefficient r between x and y is 0.97.

As, On a scatterplot, the correlation coefficient, or r, quantifies the magnitude and axis of a linear relationship between two variables.

and, The relationship between two variables is generally considered strong when their r value is larger than 0.7.

So, here the correlation of 0.97 indicates a strong positive linear relationship between variable x and y.

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200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, [tex]\frac{50.00}{0.25}[/tex]= 200 pounds.

The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.

The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.

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Answer:

Find the ninth term rule for the sequence 3, 4, 7, 12, 19

28, 39, 52, 67

(the term number) nth term is +increasing odd numbers (+1, +3, +5, +7, etc)

Step-by-step explanation:

You're welcome.

the equation "y = 2x + 7" represents a proportional relationship.

The values for this problem are given as follows:

a) lim x -> 2^- f(x) = 3.

b) lim x -> 2^+ f(x) = 1.

c) lim x -> 2 f(x) is not defined.

d) f(2) = 3.

e) lim x -> 4 f(x) = 4.

f) f(4) is not defined.

To the left of x = 2, the graph of f(x) approaches x = 2 at y = 3, hence:

lim x -> 2^- f(x) = 3.

To the right of x = 2, the graph of f(x) approaches x = 2 at y = 1, hence:

lim x -> 2^+ f(x) = 1.

As the lateral limits are different, the limit of f(x) as x -> 2 is not defined.

Due to the closed circle, at x = 2, the function has a numeric value of f(2) = 3.

At x = 4, the graph of the function approaches x = 4 both left and right at y = 4, hence:

lim x -> 4 f(x) = 4.

Due to the open circle at x = 4, we have that f(4) is not defined.

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The sample space for x, where x is the number of shots the basketball player makes out of 5 free throws, is,{SSSSS, FSSSS, SFSSS, SSFSS, SSSF S, SSSSF, FSSF S, FSFSS, FSSSF, SFFSS, SFSSF, SSFFS, FSSFS, FSFSS, FFSSS, SFFSF, SFSSF, SSFSF, FSSSF, FSFSS, SFSFS, FSSFS, FSSSF, SFFFS, SSFFS, FFSFS, FFSFF, FSFFS, SFSFF, SFSSS}There are 32 possible outcomes in the sample space.

The sample space for x is the set of all possible outcomes of the experiment of shooting 5 free throws. Since each shot can either be made or missed, there are 2 possible outcomes for each shot. Therefore, there are 2^5 = 32 possible outcomes for the experiment.

To enumerate the sample space, we can use the notation S for made shots and F for missed shots. Then, each outcome of the experiment can be represented by a string of 5 letters, where each letter represents the outcome of a single shot.

Using this notation, the sample space for x is:

{SSSSS, FSSSS, SFSSS, SSFSS, SSSF S, SSSSF, FSSF S, FSFSS, FSSSF, SFFSS, SFSSF, SSFFS, FSSFS, FSFSS, FFSSS, SFFSF, SFSSF, SSFSF, FSSSF, FSFSS, SFSFS, FSSFS, FSSSF, SFFFS, SSFFS, FFSFS, FFSFF, FSFFS, SFSFF, SFSSS}

Note that there are 6 outcomes where the player makes 0 shots, 5 outcomes where the player makes 1 shot, 10 outcomes where the player makes 2 shots, 10 outcomes where the player makes 3 shots, 5 outcomes where the player makes 4 shots, and 1 outcome where the player makes all 5 shots.

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