HELP ME !!
A ham is cured with 12 grams of salt. Salt has a density of 2.16 g/cm³. What is the volume of salt in the ham?

Given that the particle moves along the curve y=e^(2x) and the magnitude of its velocity is v=5ft/s.A particle moving along a curve is given by:y = e^(2x)Taking the derivative of this function with respect to time t will give the velocity function as follows;dy/dt = 2e^(2x) dx/dt ............................... (1)We know that the magnitude of velocity is constant v = 5ft/s.

Therefore, we can use the velocity function to solve for dx/dt and dy/dt as shown below;dx/dt = v/√(4e^(4x)) = v/(2e^(2x)) ................ (2)Substituting equation (2) into (1), we get;dy/dt = 2e^(2x) dx/dt = 2e^(2x) * v/(2e^(2x))=v = 5 ft/sHence, the y-component of velocity when the particle is at y = 8 ft is 5 ft/s.

Therefore, we can use the slope of the curve at point y = 8 ft to find the angle of the slope, then use trigonometry to solve for the x-component of velocity.

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Answer:

Hi, there!!!!

See explanation in pictures.

I hope it helps you...

The best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.

Since we are looking for an approximation of the cost for an additional square foot of living space, we need to find the slope of the line of best fit for the given scatterplot. The slope of the line represents the change in the cost of the house for every one unit increase in the living space, which in this case is one square foot.

From the scatterplot, we can see that as the living space increases, the cost of the house also increases, indicating a positive linear relationship. We can also see that there is a line of best fit that closely approximates this relationship.

To find the slope of the line of best fit, we can choose any two points on the line and calculate the change in the y-coordinate (the cost) divided by the change in the x-coordinate (the living space). One way to do this is to choose the two points where the line intersects the y-axis and the x-axis. From the scatterplot, we can estimate these points to be approximately (0, 200) and (1600, 0), respectively.

Using these two points, the slope of the line of best fit is:

slope = (change in y) / (change in x)

slope = (200 - 0) / (0 - 1600)

slope = -0.125

Therefore, the best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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The regression line equation, can be found to be y = 0.90x - 3.79

Find the slope using the slope formula :

m = ( 5 x 1944 - 98 x 69 ) / ( 5 x 2580 - 98² )

m = ( 9720 - 6762 ) / ( 12900 - 9604 )

m = 2958 / 3296

=  0.8975

Then find the y - intercept :

b = ( 69 - 0. 8975 x 98) / 5

b = ( 69 - 87. 945) / 5

b = - 18. 945 / 5

= - 3.789

The regression equation is:

y = 0.90x - 3.79

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The probability that the sum of the two is even and at least one of the dice shows 5 is 1/18.

There are a total of 36 possible outcomes when you roll two dice, since each die has 6 possible outcomes.

To find the number of outcomes where the sum of the dice is even, we can divide the 36 outcomes into two groups: outcomes where the sum is even, and outcomes where the sum is odd. There are 18 even sums (2, 4, 6, 8, 10, 12) and 18 odd sums (1, 3, 5, 7, 9, 11). So the probability that the sum of the dice is even is 18/36, or 1/2.

Now, we need to find the number of outcomes where at least one of the dice shows 5. There are 4 outcomes where the first die shows 5 (5,5; 5,1; 5,2; 5,3) and 4 outcomes where the second die shows 5 (1,5; 2,5; 3,5; 4,5). There are also 4 outcomes where both dice show 5. However, we have counted each of these outcomes twice (once as an outcome where the first die shows 5, and once as an outcome where the second die shows 5). So we need to subtract these 4 outcomes from our total. This leaves us with a total of 8 outcomes where at least one of the dice shows 5.

So the probability that at least one of the dice shows 5 is 8/36, or 2/9.

Finally, we want to find the probability that the sum of the dice is even and at least one of the dice shows 5. Since these two events are independent (the fact that the sum is even does not affect the probability that one of the dice shows 5, and vice versa), we can find the probability of both events occurring by multiplying the probabilities of the individual events.

So the probability that the sum of the dice is even and at least one of the dice shows 5 is (1/2) * (2/9) = 1/18.

Therefore the answer is: 1/18.

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Answer:

w=-50

(negative fifty)

Step-by-step explanation:

Answer:

vnfcjvfn dcjxfhhnvn vn

Step-by-step explanation:

Answer:

the value of 7x-y is -14.

Step-by-step explanation:

When x=2 and y=4,

To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.

7x - y = 7(2 - 4)

14 - 28

= -14.​

The Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ: π > 0.79

Statistic Z = -26.38

P-value = 0

Conclusion : The null hypothesis is

rejected .

Final Conclusion : which implies that population proportion is different from

π= 0.79.. This sample proportion can notbe product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

We have problem of proportion and we have to apply hypothesis testing in it .

We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .

Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ : π> 0.79

The significance level is 0.01

The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42

The standard error is

σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014

Then we can calculate Z – value

Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387

P-value for this test statistic is 0

P-value (z<-26.38)= 0

P-value = 0 < 0.01

As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79

This sample proportion can not be product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

#Complete Question:

In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?

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The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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The answers are (a) 1.5 orders (b) 0.5  (c)-1

a. Probability that a faxed order will arrive within the next 9 minutes:

Since there are 24 hours in a day, and we receive an average of 20 orders every two hours, this means we receive an average of 10 orders per hour. We can assume that orders arrive uniformly throughout the hour. To find the probability that a faxed order will arrive within the next 9 minutes, we can convert the time to hours. 9 minutes is \(\frac{9}{60} = 0.15\) hours. The probability of an order arriving within the next 9 minutes is equal to the average rate of orders per hour multiplied by the time interval:

Probability = (10 orders/hour) * (0.15 hours) = 1.5 orders.

b. Probability that the time between two faxed orders will be between 3 and 6 minutes. Again, we need to convert the time interval to hours. 3 minutes is \(\frac{3}{60}=0.05\) hours, and 6 minutes is \(\frac{6}{60} = 0.1\).

The probability of the time between two orders being between 3 and 6 minutes can be calculated as the difference between the probabilities of an order arriving within the next 3 minutes and an order arriving within the next 6 minutes:

Probability = (10 orders/hour)  (0.1 hours) - (10 orders/hour) (0.05 hours)

= 1 - 0.5

= 0.5.

c. Probability that 12 or more minutes will elapse between faxed orders:

Similar to the previous calculations, we convert the time to hours. 12 minutes is \(\frac{12}{60} = 0.2\) hours.

The probability that 12 or more minutes will elapse between faxed orders can be calculated as the probability of no orders arriving within the next 12 minutes:

Probability = 1 - (10 orders/hour) (0.2 hours)

= 1 - 2

= -1.

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Using linear functions, it is found that:

\(y_G(x) = x + 30\)

\(y_A(x) = 3x + 10\)

A linear function has the following format:

\(y = mx + b\)

In which:

At Greenpoint Florist, $1 is charged per rose, plus $30 for the vase, hence, the equation is:

\(y_G(x) = x + 30\)

At Ashley's Flowers, $3 is charged per rose, plus $10 for the vase, hence, the equation is:

\(y_A(x) = 3x + 10\)

At the end of this answer, the two solutions are graphed, and it is found that when 10 roses are sold, the total cost would be of $40 for at both shops.

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a) The median number of goals scored is 3.

b) The mean number of goals scored is 2.33.

In the question, we are given a table showing the number of goals a football team conceded in a season.

a) We are asked to find the median number of goals scored.

The median for any frequency distribution is the middle value of the cumulative frequency distribution.

The cumulative frequency distribution for the given table can be shown as follows:

Conceded Goals _ Frequency _ Cumulative Frequency

_____0_______ ______2_____ ________2_________

_____1_______ ______8_____ _______10_________

_____2_______ ______4_____ _______14_________

_____3_______ _____10_____ _______24_________

_____4_______ ______6_____ _______30_________

The total number of observations is 30.

The middlemost frequency is the average of the 15th and 16th observations, that is, 3.

Thus, the median number of goals scored is 3.

b) We are asked to find the mean number of goals conceded per match.

The mean is given by the formula, μ = {∑xf}/{∑f}, where μ is the mean, x is the variable, and f is the frequency of the variable.

Thus, the mean number of goals conceded = { (0*2) + (1*8) + (2*4) + (3*10) + (4*6) }/{ 2 + 8 + 4 + 10 + 6} = { 0 + 8 + 8 + 30 + 24 }/{30} = 70/30 = 2.33.

Thus, the mean number of goals scored is 2.33.

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N 2

Part a

Multiply $5 for the number of sandwiches

so

5*359=$1,795

Part b

Divide the number of sandwiches by the number of customers

so

9514 1404 393

Answer:

  area = x(3x +10)

Step-by-step explanation:

The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.

  horizontal unmarked = (2x+15) -x = x +15

  vertical unmarked = (2x -5) -(x -5) = x

The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.

The whole area is ...

  x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)

Answer:

first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1

Step-by-step explanation:

The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.

Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.

To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:

z = (p' - p) / √[p * (1 - p) / n]

where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.

Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.

For example, if p' = 0.4, then the z-score is:

z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03

Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.

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Answer:

1/5

Step-by-step explanation:

slope m = (y₂ - y₁) / (x₂ - x₁)

              = (-3 - (-1)) / (-7 - 3)

              = -2 / -10

              = 1/5

** pay attention to your minus signs

Answer:

the last one

Step-by-step explanation:

Both are used then the sencond is used as well

Answer: 10 cm

Step-by-step explanation: because i am alwauys right about your mom

The one possible simplified form of the expression is (1 + cos x) / sin²x.

To perform the addition or subtraction and use the fundamental identities to simplify the given expression, 3(1 + cos x) ÷ 3(1 - cos x),

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a. Null hypothesis is a statement that suggests no significant difference or relationship exists between two variables or populations. It is the starting point of hypothesis testing, and the aim is to prove it wrong.
b. Alternative hypothesis is a statement that suggests there is a significant difference or relationship between two variables or populations. It is the opposite of the null hypothesis and is supported if there is enough evidence to reject the null hypothesis.
c. Critical values are the values that divide the rejection region from the acceptance region in hypothesis testing. They are determined based on the chosen alpha level and the degrees of freedom.
d. Rejection region is the area in the distribution where the null hypothesis is rejected. It is determined by comparing the test statistic with the critical values.
e. Test statistic is a calculated value that measures the difference between the observed sample data and the expected values under the null hypothesis. It is used to determine whether the null hypothesis should be rejected.
f. Alpha level is the significance level set by the researcher, which determines the probability of rejecting the null hypothesis when it is true. It is typically set at 0.05 or 0.01, indicating a 5% or 1% chance of rejecting the null hypothesis when it is true. The alpha level is used to determine the critical values and the rejection region.

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Answer:

7x + 6y = 24

Step-by-step explanation:

y = -7/6x - 3

Standard form: Ax + By = C

7x + 6y = -18

Since it's parallel, Ax and By have to be the same

The only choice is

7x + 6y = 24

Answer:

Congruent triangles are exact same triangles, but they might be placed at different positions. The corresponding congruent part for each segment or angle can be arranged as shown below.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

(|AB| denotes the length of line segment AB, and so on for others).

Given the two triangles, ΔDFC and △SNP are congruent to each other, DFC≅△SNP. Therefore, we can write,

Step-by-step explanation:

Answer:

Given triangles are similar

\( \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}\)

Answer:

240

Step-by-step explanation:

you have to divide 1,920 by 8

Answer:

x=4

Step-by-step explanation:

divide the x-value by the y-value. 9/36 =0.25.

0.25*16=4

x=4.

Answer:

Domain: all real numbers

Step-by-step explanation:

This graph is a parabola. It's equation looks like it should be:

y = x^2 - 1

If you have a graph and are looking for the domain, you are determining where the graph exists. For what x's the graph exists. If you have the equation then the domain is what x's may be put into the equation. There are no limitations on what numbers can go into this equation so the domain is all real numbers.

There are several ways to write the domain is all real numbers, set builder notation and interval notation. But the main idea is that it is all real numbers.