Arianys has $0.45 worth of pennies and nickels. She has a total of 21 pennies and
nickels altogether. Graphically solve a system of equations in order to determine the
number of pennies, x, and the number of nickels, y, that Arianys has.

Answer:

x < -2

Step-by-step explanation:

-2x + 4 > 8

     -4      -4

-2x > 4

divide both sides by -2

x < -2

Because we divided by a negative number, the sign gets flipped. So, the answer is x < -2

Hope this helps!

In contrast to the CDC's reported success rate, the success rate for art at this clinic is substantially greater.

A claim or assumption that there is no statistically significant difference between two populations or sets of data is known as the null hypothesis. It serves as the beginning point for statistical hypothesis testing and is typically indicated as H0. According to the null hypothesis, any observed difference between the populations or data sets is the result of sampling error or random chance rather than a genuine difference.

given

The success rate for art at this clinic is not statistically different from the CDC's claimed success rate.

In contrast to the CDC's reported success rate, the success rate for art at this clinic is substantially greater.

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Answer:

if the 3 is underlined in number 5 it would be ten thousand, i did 6 and 7 on your first post

9) the blanks, in order, are 6300, 10, 530

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

960 cm^3

Step-by-step explanation:

The volume of any object is found by multiplying the area of the base times the height. I'll use the triangular sides as the base in this case. The area of the triangle is (bh)/2, so this calculation is:

(16x12)/2 = 96

The height is 10, so Volume is 96 x 10 = 960 cm^3

The product $c_1 c_2$ in rectangular frame is \(\$10 e^{i(2\theta \pm \frac{pi}{3})}\$.\)

Let $c_1$ and $c_2$ be the two complex numbers that frame an even triangle with $3+2i$ and $6+i$.

The dispose of between two complex numbers $a$ and $b$ is given by $|b-a|$. Since the triangle is even, the wipe out someplace in the scope of $3+2i$ and $6+i$ ought to be equivalent to the underlying venture with to the kill among $3+2i$ and $c$, conjointly make back the underlying speculation with to the take out among $6+i$ and $c$.

So, we have the following conditions:

$|6 + i - (3 + 2i)| = |c - (3 + 2i)|$

$|6 + i - (3 + 2i)| = |c - (6 + i)|$

Tackling these conditions, we get:

$|3 - i| = |c - (3 + 2i)|$

$|3 - i| = |c - 6 - i|$

Presently, let's discover the esteem of $c$:

$|c - (3 + 2i)| = |3 - i|$

\(\$|c - (3 + 2i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$\)

So, \(\$c - (3 + 2i) = \pm \sqrt{10} e^{i\theta}\$\), where \(\$\theta\$\) is the point between the positive genuine hub and the line interfacing $3+2i$ and $c$?

Presently, let's discover the esteem of $c$ utilizing the moment condition:

$|c - (6 + i)| = |3 - i|$

\(\$|c - (6 + i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$\)

So, \(\$c - (6 + i) = \pm \sqrt{10} e^{i\theta'}\$\), where \(\$\theta'\$\) is the point between the positive genuine hub and the line interfacing $6+i$ and $c$?

Since the triangle is equilateral, $theta$  \(\$\theta'\$\) must vary by \(\$\pm\) \(\frac{\pi}{3}\$.\)

Presently, let's discover the item $c_1 c_2$:

$c_1 c_2 = (c - (3 + 2i))(c - (6 + i))$

$c_1 c_2 =\((\pm \sqrt{10} e^{i\theta})(\pm \sqrt{10} e^{i(\theta \pm \frac{\pi}{3})})\$\)

$c_1 c_2 = \(10 e^{i\theta} e^{i(\theta \pm \frac{\pi}{3})}\$\)

$c_1 c_2 = \(10 e^{i(2\theta \pm \frac{\pi}{3})}\$\)

So, the item $c_1 c_2$ in rectangular frame is \(\$10 e^{i(2\theta \pm \frac{\pi}{3})}\$.\)

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27 cars had air conditioning and automatic transmission but not power steering.

A Venn diagram is a diagram that uses circles to show the relationships between things or finite groups of things. Intersecting circles have one thing in common, but non-intersecting circles  do not have these features.

Venn diagrams help visualize the similarities and differences between two concepts. They have long been recognized for their usefulness as educational tools.  Venn diagrams have been used as part of  introductory logic curricula and in elementary school planning around the world since the mid-20th century.

Venn diagrams help show how different concepts and elements intersect. At a glance, you can see how things are similar, how they differ, and where and how they overlap. The center of a Venn diagram (the intersection of two or more circles) often represents a connection or main idea that can be decomposed into  various other circles, and labels on the outer part are more common than labels in the center. is clear. .

calculation has been attached below .

27 cars had air conditioning and automatic transmission but not power steering

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Answer:

Step-by-step explanation:

Cuz if the latter is 34 it`s close to the house how can he can`t touch the house if he didn`t touch a house or anything he will fall.

Answer:

\(\huge\boxed{\sf x = 6500 \ m}\)

Step-by-step explanation:

Let the original length be x.

Given that,

6% of original length = 390 m

Key: "%" means "out of 100" and "of" means "to multiply"

So,

\(\displaystyle \frac{6}{100} \times x = 390\\\\0.06 \times x = 390\\\\Divide \ both \ sides \ by \ 0.06\\\\x = 390/0.06\\\\x = 6500 \ m \\\\\rule[225]{225}{2}\)

The present value of payments at the end of each quarter of $245 for ten years with an interest rate of 4.35% compounded monthly is approximately $25,833.42.

To find the present value of the payments, we can use the present value formula for an ordinary annuity. The formula for the present value of an ordinary annuity is:
PV = PMT * ((1 - (1 + r)^(-n)) / r)

Where:
PV = Present Value
PMT = Payment amount
r = Interest rate per period
n = Number of periods

In this case, the payment amount is $245, the interest rate is 4.35% compounded monthly, and the number of periods is 10 years or 40 quarters (since there are 4 quarters in a year).

Let's plug in the values into the formula:
PV = $245 * ((1 - (1 + 0.0435/12)^(-40)) / (0.0435/12))

First, let's simplify the exponent part:
(1 + 0.0435/12)^(-40) ≈ 0.617349

Now, let's plug in the values and calculate:
PV = $245 * ((1 - 0.617349) / (0.0435/12))
PV = $245 * (0.382651 / 0.003625)
PV = $245 * 105.4486339
PV ≈ $25,833.42

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The probability of picking a chocolate-covered cherry is 0.

The probability that an a fell on the floor is 0.08

The probability that an a or a o would be picked is 0.36

The probability a girl would be picked is 1.

Probability is used to calculate the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of picking a chocolate-covered cherry is zero because there is no chocolate-covered cherry in the bag.  

The probability that an a fell on the floor = number of a in the letter / total number of letters

= 1/13 = 0.08

The probability that an s or a o would be picked is = (number of s in the letter / total number of letters) +  (number of 0 in the letter / total number of letters)

= 4/11 + 0 = 4/11 = 0.36

The probability a girl would be picked is one since its an all-girls school.

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There were 50 more in August compared to October.

Answer:

50

Step-by-step explanation:

400-350=50

there are 50 soft drink bottles

Answer: 5:9

Explanation:

You can create a equivalent ratio by simplified. A common factor between both numbers is 3. If you divide both sides of the ratio by 3, you get 5:9.

:)

Answer:

5:9

Step-by-step explanation:

1. Find the least Common Factor, which is 3.

2. Then divide 15 by 3, which equals 5.

3. Then divide 27 by 3, which equals 9.

3. Finally just put it together to make the answer, 5:9.

I’m not sure if this is right or not but I tried…

let's first define the random variable X, which represents the outcome of a single roll of the fair 4-sided die. The possible outcomes are 0, 0, 0, and 4.

To compute E(X), or the expected value of X, we multiply each outcome by its probability and then sum them:
E(X) = P(0) * 0 + P(4) * 4

Since there are three 0s and one 4, the probabilities are P(0) = 3/4 and P(4) = 1/4. Plugging these into the equation:
E(X) = (3/4) * 0 + (1/4) * 4 = 0 + 1 = 1

Now, let's compute Var(X), the variance of X. We first need to calculate E(X^2):
E(X^2) = P(0) * 0^2 + P(4) * 4^2 = (3/4) * 0 + (1/4) * 16 = 4

Next, we'll use the formula Var(X) = E(X^2) - (E(X))^2:
Var(X) = 4 - (1)^2 = 4 - 1 = 3
So, the expected value E(X) is 1, and the variance Var(X) is 3.

First, let's define the terms "random variable" and "single":
- A random variable is a numerical quantity that is assigned to each possible outcome of a random event. In this case, the random variable x is assigned to the result of a single roll of the 4-sided die.
- Single means that we are only considering one roll of the die, not multiple rolls.

Now, to compute e(x) and var(x):
- e(x), or the expected value of x, is calculated by taking the sum of all possible values of x multiplied by their probabilities. In this case, the possible values of x are 0 and 4 (since those are the only faces on the die), and each value has a probability of 1/4 (since the die is fair). So:

e(x) = (0 * 1/4) + (4 * 1/4)
    = 1
Therefore, the expected value of x is 1.
- var(x), or the variance of x, measures how much the values of x deviate from the expected value. It is calculated by taking the sum of the squared deviations from the mean, multiplied by their probabilities. In this case, the deviations from the mean (1) are -1 and 3, so:
var (x) = ((-1 - 1)^2 * 1/4) + ((3 - 1)^2 * 1/4)
      = 4/2
      = 2

Therefore, the variance of x is 2.

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The answer to the question is C, which is integers 4,5 or -4,-3.

Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2

The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.

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Answer:

$96.95

Step-by-step explanation:

13.85*7=96.95

Answer:

so subtract -2v to the left side add 5 to the right side so your left with

v = 15

Answer:

15 = v

Step-by-step explanation:

First start by grouping like terms,

=> - 5 - 10 = 2v - 3v

evaluate the LHS and RHS

=> - 15 = - v

Divide through by the coefficient of v, which in this case is - 1

=>

\( \frac{ - 15}{ - 1} = v\)

Therefore, 15 = v

Answer:

20

Step-by-step explanation:

20 is the greatest factor because:

20*5=100

20*1=20

Answer: − 20 1/12

Step-by-step explanation:

Answer:

2/3 π ³+ πr²(h-r)

Step-by-step explanation:

If the function is on a graph and it's a straight line then its linear.

A linear function is modeled by the following rule: y = mx + b

In which m is the slope, which is the rate of change, that is, the change in y divided by the change in x.

Here b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

If the function is on a graph and it's a straight line then its linear.

If the function is not on a graph, it will fall under a few different formulas, but as a general rule if it does not have an exponent on the x or y then it'll be linear.

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Step-by-step explanation:

\(area = length \times width \\ = (4x + 3) \times (2x + 2) \\ = ( {8x}^{2} + 8x + 6x + 6) \\ = ( {8x}^{2} + 14x + 6) \: {units}^{2} \)

Answer:

\((8x + 14x + 6)^{2}\)

Step-by-step explanation:

Area of a rectangle is length x breadth

In the given figure, the length is 2x + 2 and breadth is 4x + 3

So, the area would be:-

(2x + 2) (4x + 3)

\(8x^{2}\) + 6x + 8x + 6

So the area would be => \((8x + 14x + 6)^{2}\)

In order to make 544 litres of petrol oil, require 204 litres of natural oil.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

Given that,

3 litres of natural oil for every 5 litres of synthetic oil,

If 544 litres have to be made then,

Add 3 + 5 = 8

So, 3/8 of 544 litres will be = 204 litres of natural oil

And, 5/8 of 544 litres will be =340 litres of synthetic oil

Therefore, in order to make 544 litres of petrol oil, require 204 litres of natural oil.

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9514 1404 393

Answer:

  $2.98

Step-by-step explanation:

The amount of interest earned is ...

  I = P((1 +r)^t -1)

  I = $9(1.1^3 -1) ≈ $2.98

Daniel will earn about $2.98 in interest in 3 years.

Below steps provide a general approach to assess the approximation of a normal curve using a histogram.

As an AI text-based model, I don't have access to the specific table or image you mentioned. However, I can provide you with some general guidance on determining whether a histogram approximates a normal curve.

To assess whether a histogram approximates a normal curve, you need to consider the shape and characteristics of the data distribution. Here are a few steps to help you evaluate the histogram:

1. Plot the histogram: Start by creating a histogram based on the recorded data for the number of tornadoes in 2008. The histogram should have the number of tornadoes on the vertical axis (y-axis) and a range of values (e.g., number of tornadoes) on the horizontal axis (x-axis).

2. Evaluate symmetry: Look at the shape of the histogram. A normal distribution is symmetric, meaning that the left and right sides of the histogram are mirror images of each other. If the histogram is symmetric, it suggests that the data may follow a normal distribution.

3. Check for bell-shaped curve: A normal distribution typically exhibits a bell-shaped curve, with the highest frequency of values near the center and decreasing frequencies towards the tails. Examine whether the histogram resembles a bell-shaped curve. Keep in mind that it doesn't have to be a perfect match, but a rough resemblance is indicative.

4. Assess skewness and kurtosis: Skewness refers to the asymmetry of the distribution, while kurtosis measures the shape of the tails relative to a normal distribution. A normal distribution has zero skewness and kurtosis. Calculate these statistics or use statistical software to determine if the skewness and kurtosis values deviate significantly from zero. If they are close to zero, it suggests a closer approximation to a normal curve.

5. Apply statistical tests: You can also employ statistical tests, such as the Shapiro-Wilk test or the Anderson-Darling test, to formally assess the normality of the data distribution. These tests provide a p-value that indicates the likelihood of the data being drawn from a normal distribution. Lower p-values suggest less normality.

Remember that these steps provide a general approach to assess the approximation of a normal curve using a histogram. It's essential to consider the context of your specific data and apply appropriate statistical techniques if necessary.

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If there are currently 250,000 square miles of rainforest, then number of square miles of rainforest will happen in n years is, f = 250000(0.73)ⁿ

So option B is correct

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The rainforest is currently decreasing at a rate of 27% per year

There are currently 250,000 square miles of rainforest

The number of square miles of rainforest will happen in n years = ?

The expression for remaining rainforest is,

after 1 year

f = 250000(1 - 0.27)

after 2 year

f = 250000(1 - 0.27)(1 - 0.27)

after 3 year

f = 250000(1 - 0.27)(1 - 0.27)(1 - 0.27)

Similarly

after n year

f = 250000(1 - 0.27)ⁿ

f = 250000(0.73)ⁿ

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