How to do
Rosalita spent $18.95 on a large box of greeting cards, $2.95 for a roll of ribbon, $15.64 for a scrapbook, and $5 for scrapbook stickers (prices include tax). The cashier gave Rosalita $7.46 change.

How much money did Rosalita give to the cashier?

CS responding of 81 refers to the response to a conditioned stimulus. A suppression ratio of zero means no fear response is observed, indicating no learned association between the conditioned stimulus and the aversive outcome.


“CS responding” refers to the response elicited by a conditioned stimulus (CS). A conditioned stimulus is a neutral stimulus that, through repeated pairing with an unconditioned stimulus (UCS), acquires the ability to elicit a conditioned response (CR). The CS responding value represents the level or frequency of the conditioned response.
Now, let’s address the concept of a suppression ratio. In fear conditioning experiments, a common way to measure fear is through a suppression ratio, which is calculated by dividing the number of responses emitted during the CS presentation by the total number of responses emitted during a specific period, usually including both the CS and a baseline period.

A suppression ratio of zero indicates that no suppression of responding occurs during the presentation of the conditioned stimulus. This means that the individual is not showing any reduction in their responding when the CS is presented compared to the baseline period.
In terms of both responding and fear, a suppression ratio of zero suggests that the individual is not associating the CS with the aversive outcome (UCS) and does not exhibit any fear response. Essentially, there is no behavioral evidence of conditioned fear or a learned association between the CS and the aversive stimulus.

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The probability of drawing a diamond and then a club without replacement is 0.0588, or approximately 0.059.

The events are not independent, since the of the first draw affects the probability of the second draw.

To calculate the probability of drawing a diamond and then a club without replacement, we can use the formula.

P(diamond and club) = P(diamond) * P(club  diamond not replaced)

The probability of drawing a diamond on the first draw is 13/52, since there are 13 diamonds in a standard deck of 52 cards.

After drawing a diamond, there will be 51 cards left in the deck, including 12 clubs.

So the probability of drawing a club on the second draw, given that a diamond was not replaced, is 12/51.

Putting it all together:

P(diamond and club) = (13/52) * (12/51) = 0.0588 (rounded to four decimal places).

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On solving the question we have that Therefore, the correct answer is: function  As x → −∞, f(x) → −∞ and as x → ∞, f(x) → −∞.

Mathematicians investigate numbers and their variants, equations and related structures, shapes and their locations, and prospective locations for these things. The term "function" refers to the relationship between a group of inputs, each with its own output. A function is a relationship of inputs and outputs in which each input results in a single, distinct output. Each function has its own domain, codomain, or scope. The letter f is commonly used to denote functions (x). An x represents entry. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four basic types of accessible functions.

Based on the graph, the function approaches a horizontal line at y = -3 as x approaches negative infinity, and also approaches the same horizontal line at y = -3 as x approaches positive infinity. Therefore, we can say that:

As x → −∞, f(x) → −∞ and as x → ∞, f(x) → −∞.

Therefore, the correct answer is:

As x → −∞, f(x) → −∞ and as x → ∞, f(x) → −∞.

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Answer:

volume of cuboids having size 4cm 3cm and 3cm is 36cm^3 because the formula to calculate volume of cuboids is length × breathe × height.

other question I didn't understand.

The distance between Town A and Town B is 550 km.

Let's denote the distance between Town A and Town B as D.

When the two cars first passed each other, let's assume that car A traveled a distance of x km and car B traveled a distance of D - x km.

Let's also denote the initial speeds of car A and car B as 6s and 5s, respectively, where s is some constant representing the speed of the slower car.

The time it took for the two cars to pass each other can be calculated using the formula:

time = distance / speed

For car A, the time it took to travel x km was:

x / (6s)

For car B, the time it took to travel D - x km was:

(D - x) / (5s)

Since the two cars traveled the same amount of time until they passed each other, we can set these two expressions equal to each other:

x / (6s) = (D - x) / (5s)

Solving for x, we get:

x = 6Ds / (11s)

After the speeds of both cars were reduced, car A's speed was (5/6) * 6s = 5s, and car B's speed was (3/4) * 5s = (15/4)s.

Let's denote the time it took for car A to travel the remaining distance from x to D as t.

Then, the time it took for car B to travel a distance of (D - x - 54) km is also t.

Using the new speeds, we can write the equation:

\((D - x - 54) = (15/4)s * t\)

Solving for t, we get:

\(t = (4/15)(D - x - 54) / s\)

The distance car A traveled after the two cars passed each other is:

D - x = D - 6Ds / (11s) = (5/11)D

The time it took for car A to travel this distance is:

\(t + x / (6s) = (4/15)(D - x - 54) / s + 6Ds / (66s)\)

Setting these two expressions equal to each other and solving for D, we get:

D = 550 km

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yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

According to the question  the marine science class after attempting each day for the first 5 days the probability of the event occurring is 0.3 or 30%.

To calculate the probability of an event, we need the total number of favorable outcomes and the total number of possible outcomes. Let's assume we have 10 possible outcomes and 3 favorable outcomes.

In this case, the probability (P) of the event occurring is calculated as:

P = favorable outcomes / total outcomes

Substituting the values:

P = 3 / 10

P = 0.3 or 30%

So, the probability of the event occurring is 0.3 or 30%.

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Answer:

$60745

Step-by-step explanation:

2,5÷100×2200

=55

55+2200

=2255

therefore 63000-2255

= $60 745

Options b, d, and e are the true statements about the substitution method.

b. It is useful to solve the integral ∫2x sin x^2 dx.

d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.

e. It is based on the chain rule for derivatives.

The true statements about the substitution method are:

b. It is useful to solve the integral ∫2x sin x^2 dx.

The substitution method is commonly used to simplify integrals and make them easier to evaluate. It can be applied to various types of integrals, including the given example.

d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.

The substitution method involves making a substitution in the integral by introducing a new variable. This formula represents the fundamental principle of substitution, where the derivative of the substituted function appears in the integral.

e. It is based on the chain rule for derivatives.

The substitution method is based on the chain rule of derivatives. By making an appropriate substitution, the integral can be transformed into a new form that corresponds to a derivative of a simpler function.

Therefore, options b, d, and e are the true statements about the substitution method.

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The inequality -x ≤ x cos ≤ x holds for all values of x ≥ 0. The value of x cos can be any real number between -1 and 1, inclusive, depending on the specific value of x.

To find the value of x cos in the inequality -x ≤ x cos ≤ x for all values of x ≥ 0, let's analyze each part separately.

First, we have -x ≤ x cos. Since x is non-negative (x ≥ 0), we can divide both sides of the inequality by x (assuming x ≠ 0) without changing the direction of the inequality:

-1 ≤ cos

The cosine function ranges from -1 to 1, so the inequality -1 ≤ cos is always true. Therefore, this inequality holds for all values of x ≥ 0.

Now, let's consider the second part, x cos ≤ x. Since x is non-negative (x ≥ 0), we can divide both sides of the inequality by x (assuming x ≠ 0) without changing the direction of the inequality:

cos ≤ 1

The cosine function's maximum value is 1, so the inequality cos ≤ 1 is always true. Therefore, this inequality also holds for all values of x ≥ 0.

Combining the two inequalities, we have -1 ≤ cos ≤ 1. In other words, the cosine function's values range from -1 to 1 for all values of x ≥ 0.

To find the value of x cos, we need a specific value of x. Let's choose x = 1 as an example. In this case, we have:

1 cos ≤ 1

Simplifying, we find that cos ≤ 1, which is always true. Therefore, for x = 1, the value of x cos (or 1 cos) is any value between -1 and 1, including -1 and 1 themselves.

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The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

An equation is a statement that shows the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots. An equation can be solved by finding the value(s) of the variable(s) that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to describe relationships between different quantities and to make predictions or solve problems.

Here,

Since line B is perpendicular to line A, the product of their gradients is -1. Therefore, the gradient of line B is 1/5.

a) To find the y-intercept of line B, we need to know a point on the line. Since we don't have one, we can use the fact that the y-intercept is the point where the line intersects the y-axis. To find this point, we can set x = 0 in the equation of line B:

y = (1/5)x + c

0 = (1/5)(0) + c

c = 0

Therefore, the y-intercept of line B is (0,0).

b) The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

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Hi!

Your answer will be: C., "1|3"

hope this helps!

Answer:

$33.60

Step-by-step explanation:

$32.50 + $9.50 = $42.00

20% is changed to .20

Multiply 42.00 x .20 = $8.40 percentage discount

$42.00 - $8.40 = $33.60 is how much he spent

Answer:

i got you it 10,000

Step-by-step explanation:

all you have to do is add the zeros

The structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid is shown below.

We have,

To draw the structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid.

Here's the structure of an optically inactive fat that, when hydrolyzed, yields glycerol, one equivalent of lauric acid, and two equivalents of stearic acid:

       H              H         H

        |               |           |

H O - C - C - C - C - C - C - C - C - C - C - C - C - C - C - O H

        |               |          |

      H             OH       OH

In this structure, the fatty acids attached to the glycerol backbone are lauric acid (C₁₂:0) and stearic acid (C₁₈:0).

The hydrolysis of this fat will break the ester bonds between the glycerol and the fatty acids, resulting in the formation of glycerol, one molecule of lauric acid, and two molecules of stearic acid.

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Answer: The height of the mountain is 1,331.4 meters (approximately)

Step-by-step explanation:

From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.

The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;

Tan β = opposite/adjacent

Tan 59 = AC/800

Tan 59 x 800 = AC

1.6643 x 800 = AC

1331.44 = AC

AC ≈ 1331.4

Answer:

h = 1886.8 m

Step-by-step explanation:

Step 1: Get one more angle in the left triangle.

Notice that there is an angle suplementary to angle β.

angle = 180° - β = 180°- 49° = 131°

Step 2: Get hypotenuse.

You can either calculate hypotenuse of the big right triangle or small right triangle.

We know two angles in the left triangle - angle α and the angle calculated in previous step. We also know that distance a is 1500 m. We can use sine law to get the hypotenuse. I chose to calculate the hypotenuse of the big right triangle (big right triangle is the one that includes both left and right little triangle).

We also have to find the angle that is opposite of side a.

opp_a_angle = 180° - α - angle = 180° - 31°- 131° = 18°

\(\frac{a}{\sin{(opp\_a\_angle)}} = \frac{hypotenuse}{\sin{(angle)}}\)

\(\frac{1500}{\sin{(18^\circ)}} = \frac{hypotenuse}{\sin{(131^\circ)}}\)

\(hypotenuse = \frac{1500 \cdot \sin{(131^\circ)}}{\sin{(18^\circ)}}\)

\(hypotenuse \approx 3663.437257 \text{ m}\)

Step 3: Calculate height

To calculate height we can use trigonometric functions. In this case it's going to be sine.

Formula:

\(\sin{\theta} = \frac{opposite}{hypotenuse}\)

\(\sin{\alpha} = \frac{h}{hypotenuse}\)

\(\sin{(31^\circ)} = \frac{h}{3663.437257}\)

\(1886.8096 \approx h\)

\(h = 1886.8 \text{ m}\)

When you flip two coins 28 times, the best prediction possible for the number of times both coins will land on heads is 7 times.

This can be explained with the following calculations:

When flipping a coin, the chance of getting heads or tails is 1/2 or 0.5.

If you flip two coins, the probability of getting two heads is calculated by multiplying the probability of getting heads on the first coin by the probability of getting heads on the second coin, which is (1/2) x (1/2) = 1/4 or 0.25 or 25%.

To calculate the expected number of times both coins will land on heads in 28 flips, we use the following formula:

Expected value = Probability x Total number of flips

Expected value = 0.25 x 28

Expected value = 7

Therefore, the best prediction possible for the number of times both coins will land on heads is 7 times.

It's important to note that this is only a prediction, and the actual number of times both coins land on heads could be more or less than 7.

This is because probabilities are based on chance, and chance outcomes can be unpredictable.

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we need to first find the common ratio (r) of the sequence. We can use the formula for the nth term of a geometric sequence:The 10th term of the geometric sequence is approximately 96.074.

an = a1 * r^(n-1)
where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.
Using the given information, we can find the value of r:
24 = 12 * r^(4-1)
r^3 = 2
r = ∛2
Now that we know the common ratio, we can find the 10th term:
a10 = 12 * (∛2)^(10-1)
a10 = 12 * (∛2)^9
a10 ≈ 72.99
Therefore, the 10th term of the geometric sequence is approximately 72.99.
Hi! To find the 10th term of the geometric sequence, we need to identify the common ratio (r) first. Given the first term (a1) is 12 and the fourth term (a4) is 24, we can set up the following equation:
a1 * r^3 = a4
12 * r^3 = 24
Now, we solve for r:
r^3 = 24 / 12
r^3 = 2
r = ∛2
Now that we have the common ratio, we can find the 10th term (a10) using the formula:
a10 = a1 * r^(10-1)
a10 = 12 * (∛2)^9
a10 ≈ 96.074

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Answer:

No it cant

Step-by-step explanation:

You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.

Answer:

10 and 7

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions!

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Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

The dimensions of the largest bulletin board that meets fire  is a rectangle with dimensions width = √20 and length = 3√20.

Given that area of rectangular bulletin board = 60 sq feet

The length of the boards three times as long as the width.

Then the dimension of the rectangular bulletin board can be represented as follows:

Let the width of the board be x feet

Then, the length of the board is 3x feet.

Area of rectangular bulletin board = 60 sq feet

Area = length × width

60 = 3x × x

60 = 3x²

x² = 60/3 = 20

x = √20

Therefore, the dimensions of the bulletin board are width = √20 and length = 3√20.

For the bulletin board to meet fire code, it must not cover more than 45% of a classroom wall. This implies that,

Total area of classroom wall = 100% of the wall area

Hence, the maximum area of the bulletin board that is allowed = 45% of the wall area

Area of the wall = area of the rectangular bulletin board

Area of the wall = width × length

Area of the wall = √20 × 3√20

Area of the wall = 3 × 20 = 60 sq feet

Therefore, the largest bulletin board that meets fire code is a rectangle with dimensions width = √20 and length = 3√20.

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Answer:

oh no that's tough bro

hope you get through

Answer:

-1048

Step-by-step explanation:

Use the formula

\(a_{n} = a_{1} + (n - 1)d\)

d = -14 - (-3) = -25 - (-14) = -11

In your problem, the first term is -3, n = 96, d = -11

\(a_{96} = -3 + (96 - 1)(-11)\\ = - 3 + 95(-11)\\ = -3 - 1045\\ = -1048\)

the most appropriate answer Based on this analysis would be that evidence  there is against the null hypothesis is somewhat strong evidence.

Option A is correct.

It is a general rule that  a smaller p-value provides stronger evidence against the null hypothesis.

We start by comparing the p-value to different levels of significance for each case:

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complete question:

Consider you are performing a hypothesis test. You find that the p-value is 0.02. Evaluate the p-value at 0.10, 0.05, 0.01, and 0.001 levels of significance. How much evidence is there against the null hypothesis?

a. Somewhat strong evidence

b. Strong evidence

c. Very strong evidence

d. Extremely strong evidence

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

The random variable Y = the number of cars the collector counts until he gets a red-headed driver for the first time. Yes –all conditions for the geometric setting are met. So the option A is correct.

The probability of success after N failures is given by a geometric distribution. The distribution is essentially a set of probabilities that represent the chances of success after zero, one, two, and so on failures.

A geometric distribution is a discrete probability distribution of a random variable "x" that meets some conditions. The geometric distribution conditions are as follows:

A phenomenon characterised by a series of trials

Each trial can only have one of two outcomes: success or failure.

Every trial has the same chance of success.

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The complete question is:

To pass the time, a toll booth collector counts the number of cars that pass through his booth until he encounters a driver with red hair. Suppose we define the random variable Y = the number of cars the collector counts until he gets a red-headed driver for the first time. Is Y a geometric random variable?

A. Yes –all conditions for the geometric setting are met.

B. No –“red-headed driver” and “non-red-headed driver” are not the same as “success” and “failure”.

C. No –we can’t assume that each “trial” (that is, each car) is independent of previous trials.

D. No –the number of trials is not fixed.

E. No –the probability of a driver being red-headed is not the same for each trial

On a negatively skewed curve The mean is lower than the median which is lower than the mode. The correct answer is E.

In statistics, a distribution is said to be negatively skewed if more values are concentrated on the right side (tail) of the distribution graph and the left tail is longer.

Positive skew is characterized by a longer or fatter tail on the right side of the distribution, and negative skew is characterized by a longer or fatter tail on the left. These two skews represent the direction or weight of the distribution.

The central tendency of a distribution is defined as its mean, median, and mode. The fact that the mean, median, and mode of the typically skewed data are all equal demonstrates the equality of wealth and income distribution as well as the significance of governmental policies and economic progress.

The distributions have a wide gap because the negative side is so heavily weighted. For instance, the data shows that the distribution of income is unequal and negatively skewed, and the central tendency is as follows:

Mode > Median > Mean.

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Answer:

The answer is... B 9.8%