\(( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = \)
I need help please​

The bearing from the port to the ship is approximately North-28.17 degrees-East. This is calculated by finding the angle formed by the two legs of a right triangle, where the opposite side is 3 miles and the adjacent side is 9 miles.

Let's assume that the ship starts at point S, and the port is at the origin (0,0). Then, the ship's initial direction of North-25 degrees-West means that it's heading towards the point that is 25 degrees clockwise from the West direction, which is equivalent to the point (-cos(25),sin(25)) on the unit circle.

After traveling 3 miles in that direction, the ship ends up at point P1 (-3cos(25),3sin(25)).

Next, the ship turns right and travels 9 miles, which takes it to point

P2 (-3cos(25)+9sin(25),3sin(25)+9cos(25)).

To find the bearing from the port to the ship at this point, we need to find the angle that the line segment from the origin to P2 makes with the positive x-axis. Let θ be this angle. Then, we have

tan(θ) = (3sin(25)+9cos(25))/(-3cos(25)+9sin(25))

Using a calculator, we can find that tan(θ) is approximately -1.32. Therefore, we have

θ = arctan(-1.32) = -52.83 degrees

Since the bearing is measured clockwise from the North direction, the bearing from the port to the ship is

360 - (25 + 52.83) = 282.17 degrees

Rounding to the nearest hundredth, we get the final answer of 282.17 degrees. Therefore, the bearing from the port to the ship is approximately North-28.17 degrees-East.

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Answer:

Option C

Step-by-step explanation:

I am going to assume that one doesn't know what an inconsistent or consistent system of equations is, let alone what a dependent and independent system of equation is. Well an inconsistent system is one that have no solutions, while a consistent system of equations has solutions. A consistent dependent system has infinite solutions, while a consistent independent system has 1 solution.

_______________________________________________________

This system of equations has one solution, as the slopes are not the same nor a multiple of one another ( no solution ) , and the equations are not the same either, nor a multiple of one another ( infinite solutions ). Thus, the system of equations is consistent, independent - Option C

I hope that clarified any questions that you had, as the answer was not Option D!

Answer:

4\(x^{2}\)+6x-5

Step-by-step explanation:

Factor out 8x from the numerator.

Answer:38.4

Step-by-step explanation:

(32x3)+(48x2)-40x/8x

96+96-40x/8x

192-5x=0

192=5x

192/5=38.4

The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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Answer:

1600

Step-by-step explanation:

8*200=1600

To find the slope intercept form, solve the equation for y.

Solve the equation for x:

Answer:

84

Step-by-step explanation:

Multiply 35 by 2.5

Answer:

75 windows

Step-by-step explanation:

35 ---- 7

x ----- 15

\(x=\frac{(35)(15)}{7} =75\)

Hope this helps

The correct answers listed below :

A)The percentage of fencers that don't utilize the foil as their primary weapon in A.

B.) X : 0, 1, 2, 3,..., 21

C.) X ~ p(X) ; 10.4

D.) 21 ~ 0.4

E.) 0.0895

F.) Yes. There is a low (less than 1%) chance that all 21 fencers will not use the foil as their primary weapon.

A.) Considering that 60% of fencers reportedly utilize the foil as their primary weapon;

Number of fencers who do not utilize foil as their primary weapon is the random variable (x);

( 100% - 60%) = (1 - 0.6) = 0.4

B.) Possible values for X include:

The sample size is 26;

X : 0, 1, 2,..., 26

The breakdown of X

X ~ B ; X ~ p(X) ; 26 *0.4

=10.4

How many fencers are anticipated to not utilize the foil as their primary weapon in Part (d)?

X * p(x) (x)

=26 * 0.4

= 8.4

= 8 (nearest whole number) (nearest whole number)

Determine the likelihood that eleven will not utilize the foil as their primary weapon in part (e).

P(x = 11)

Using the link between binomial probabilities:

P(x =x) is equal to nCx * px * (1 - p) (n - x)

P(x = 11) = 26C11 * 0.4^11 * 0.6^10

P(x = 11) = 0.0895

Would you be shocked if none of the 21 used foil as their primary weapon based on the numbers?

P(x = 26) = 26C21 * 0.4^26 * 0.6^0

P(x = 26) = < 0.00001 ( about 0) ( approximately 0)

It will therefore be surprising if all 26 do not employ foil as their primary weapon given this extremely low value, which is virtually equal to 0.

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The standard deviation for a binomial probability distribution is : √npq.

The correct option is (D) i.e., square root of npq

The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.

For a binomial distribution,

µ = np, which signifies the expected number of successes.

\(\sigma^2\) = npq , \(\sigma^2\) is the variance.

Since, the standard deviation is the square root of the variance,

Therefore, σ = Standard deviation = √npq

Thus, the standard deviation for a binomial probability distribution is given by √npq.

The correct option is (D)

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The value of tSTAT is 4.08. The slope of the regression line tells us the rate at which Y changes for each unit increase in X.

tSTAT stands for "t statistic". t statistic is a parameter that estimates how far a sample mean is likely to be from the population mean. A t-test is used to determine whether a difference between two groups is significant. The formula for calculating the t-statistic is:tSTAT = (b1 - 0) / Sb1Where b1 is the slope of the regression line, Sb1 is the standard error of the slope, and 0 is the hypothesized value of the slope (which is zero when testing for no linear relationship between two variables, X and Y).In this case, b1 = 5.3, Sb1 = 1.3, and 0 = 0. Therefore:tSTAT = (5.3 - 0) / 1.3 = 4.08Thus, the value of tSTAT is 4.08.

In statistics, the t statistic is a ratio between the difference between the sample mean and the null hypothesis and the standard error of the mean. The null hypothesis in this case is that there is no linear relationship between two variables, X and Y. The t-test is used to determine whether this null hypothesis is true or not.In order to calculate the t statistic, we need to know the slope of the regression line (b1) and the standard error of the slope (Sb1).  The standard error of the slope tells us how much variation there is in the slope estimate from sample to sample.The formula for calculating the t statistic is:tSTAT = (b1 - 0) / Sb1Where b1 is the slope of the regression line, Sb1 is the standard error of the slope, and 0 is the hypothesized value of the slope (which is zero when testing for no linear relationship between two variables, X and Y).In this case, b1 = 5.3, Sb1 = 1.3, and 0 = 0. Therefore:tSTAT = (5.3 - 0) / 1.3 = 4.08.Thus, the value of tSTAT is 4.08.

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Answer:

The answer is B. 600

Step-by-step explanation:

Hope that helps!

Answer:

B. $600.00

Step-by-step explanation:

every 10hrs worked you are getting $120.00 so just add $120.00 every 10 hrs

Answer:

16.50+91.25=91.25

91.25×40=3650

11.75-37.00=-25.25

Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00

Given,

Charges per person = 16.50

Service charges = 74.75

Let n be the number of the people,

Let T be the total cost

Now, according to the given question,

T = 16.50n + 74.75

If n>=40

T = 11.75n + 37.00

So, we have 2 equations which define the total cost -

T = 16.50n + 74.75,

T = 11.75n + 37.00

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Equation in english:

Luis has brought 6/8 of his savings to the bank. What fraction of his savings has led to the bank? (simplified)

Step-by-step explanation:

su 2/3

Using the Central Limit Theorem, the formulas are given as follows:

The Central Limit Theorem states that a random variable X with mean \(\mu\) and standard deviation \(\sigma\) can have the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

A distribution of proportions, with a  proportion p in a sample of size n, also respects the Central Limit Theorem, as the the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation given as follows:

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The degrees of freedom for the error source of variation is:  df = 30 - 3 = 27 To calculate the degrees of freedom for the treatment source of variation in an ANOVA table, we need to use the formula:

df (degrees of freedom) = number of groups - 1

In this case, the number of groups is equal to the number of processes, which is 3. Therefore, the degrees of freedom for the treatment source of variation is:

df = 3 - 1 = 2

This means that we have 2 degrees of freedom for the variation among the three processes. These degrees of freedom will be used to calculate the F-statistic, which is a measure of the variability between the means of the different groups (in this case, the processes).

It's worth noting that the other source of variation in an ANOVA table is the error or residual variation, which represents the variation within the groups or samples. The degrees of freedom for this source of variation are calculated using the formula:

df = total sample size - number of groups

In this case, the total sample size is 30 (the sum of the sample sizes for each process), and the number of groups is 3. Therefore, the degrees of freedom for the error source of variation is:

df = 30 - 3 = 27

This means that we have 27 degrees of freedom for the variation within the samples.

Overall, the ANOVA table provides information about how much of the variation in the data can be explained by the treatment (process) and how much is due to random error. By comparing the F-statistic to a critical value based on the degrees of freedom and a chosen significance level, we can determine whether there is a significant difference between the means of the different processes.

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The estimate for the number of cars that are red will be 9450000.

From the information, when Ben sat outside his school in Cambridge and made a note of the colour of the first 100 cars that passed, he found out that 27 of them were red.

Based on the above, the ratio of red cars to total cars is 27:100.

Therefore, if thee are 35 million cars, the red cars will be:

= Ratio of red cars × Total cars

= 27/100 × 3500000

= 9450000

The number of red cards is 9450000.

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Answer:

One with a slope of -2 and different y-intercept

e.g. y = -2x + 3

Matt purchased a new car for $30,000. The car depreciates approximately 12% of its value each year compounded continuously. $15831.951 is it worth after 5 years.

Given that

Principal = $30,000

rate = 12% per year

n = 5 years

Amount = P (1 - R%)ⁿ

Now put the values in above formula we get the amount worth after 5 years.

A = P (1 - R%)ⁿ

\(A = 30,000 \left(1 - \frac{12}{100} \right)^{5}\)

A = 30,000 × 0.88⁵

A = $ 15,831.951

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Answer:

Step-by-step explanation:

Answer:

Option A is correct .

Step-by-step explanation:

if in a question it is given that BC is equal to AB then only we can do like that...

Answer:

Determine the solutions of the equation. What solution makes sense for the situation?

x = 8

width = 8inches

length = 13

The distance, which is determined by integrating the velocity function over the specified time interval, is calculated as 2.98 and 2.58.

We will use left Riemann sum and right Riemann sum to obtain an overestimate and an underestimate. The definite integral, which in this case is a distance, can also be approximated using the average of these estimates.

1 ) The distance the bug crawls obtained by integrating the velocity function v(t) = 4/1+t over the inclined time interval is

\(\int\limits^1_0 \, \frac{4}{1+t} dt.\)

Splitting the interval [0, 1] into sub intervals of length Δt = 0.2, we get the Riemann sum L and the right Riemann sum R:

L = ∑⁴ v(ti) Δt

L = (0.2) (v(0) + v(0.2) + v(0.4) + v(0.6) + v(0.8))

L ≈ 2.98

R = ∑⁵ v(ti) Δt

R = (0.2) (v(0.2) + v(0.4) + v(0.6) + v(0.8) + v(1.0))

R ≈ 2.58

2 )The average of these two Riemann sums gives us a new estimate for the distance :

AVG = (2.98 + 2.58)/2

=2.78.

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Since both sides are equal, we have shown that ∑(i=1 to 6) (dx_i + e) = d(∑\((i=1 to 6) x_i\)) + 6e. This represents the summation of the terms \((5x_3 + i)\) for i = 1 to 6.

To show that ∑(i=1 to 6) \((dx_i + e)\)= d(∑(i=1  \(x_i\)) + 6e, we can expand both sides and compare.

Left-hand side:

∑\((i=1 to 6) (dx_i + e) = (dx_1 + e) + (dx_2 + e) + (dx_3 + e) + (dx_4 + e) +\)(dx_5 + \(e) + (dx_6 + e)\)

                        = \(dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6 + e + e + e + e\)+ e + e

                        = \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6) + 6e\)

Right-hand side:

d(∑\((i=1 to 6) x_i)\)+ 6e = d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\)+ 6e

Now, let's compare the two sides:

Left-hand side: \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6)\) + 6e

Right-hand side: d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\) + 6e

Since both sides are equal, we have shown that ∑\((i=1 to 6) (dx_i + e)\) = d(∑(i=1 to 6)\(x_i)\) + 6e.

To represent the equation\((5x_3 + 4) + (5x_3 + 5) + (5x_3 + 6) + (5x_3 +\)7) + \((5x_3 + 8) + (5x_3 + 9)\) using a Sigma operator notation, we can write it as:

∑\((i=1 to 6) (5x_3 + i)\)

This represents the summation of the terms \((5x_3 + i)\)for i = 1 to 6.

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Answer:

b.15 for every 24

Step-by-step explanation:

Answer:

x > -7

-7x > 49

Multiply both sides by (-1) (Reverse inequality)

(-7x) (-1) < 49 (-1)

Simplify

7x < -49

Divide both sides by 7

7x/7 < -49/7

Simplify = x > -7

The probability of household views between 5 and 11 hours will be 0.7653. Number of hours needed in order to be in top 3% will be 13.03 hours. Probability of views more than 3 hours will be 0.9838.

a) The probability of television views between than 5 and 11 hours.

 P( 5≤X≤11) = P[ (5-μ)/σ ≤ (X-μ)/σ ≤ (11-μ)/σ]

                   = P [ (5-8.35)/2.5 ≤ z ≤ (11-8.35)/2.5)

                    = P ( -1.34 ≤ z ≤ 1.06)

                    = P ( z≤ 1.06) - P(z ≤ -1.34)

Substituting values from the z-table

   P ( 5≤X≤11) = 0.85543 - 0.09012 = 0.76531

Probability that household views between 5 and 11 hours is  0.7653.

b) Hours needed to be in top 3% of all households.

 P( X> h) = 0.03

 P[ (X-μ)/σ > (h-μ)/σ] = 0.03

P ( z >h-8.35/2.5) = 0.03

P ( z ≤ h-8.35/2.5) = 0.97

From the table

  (h - 8.35)/ 2.5 = 1.87

   h = (1.87× 2.5) + 8.35

      = 13.025 = 13.03 hours

So if the viewing time is more than 13.03, the household will be in the top 3%.

c) Probability of viewing more than 3 hours

 P(X> 3) = P[ (X-μ)/σ > (3-μ)/σ]

               = P( z < -2.14) = 0.9838

So probability the household will have views more than 3 hours will be 0.9838.

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Answer:

Step-by-step explanation:

If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:

\(3x^2+2x=8\) Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:

\(3(x^2+\frac{2}{3}x)=8\). Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.

\(3(x^2+\frac{2}{3}x+\frac{1}{9})=8+\frac{1}{3}\) to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get

\(3(x+\frac{1}{3})^2=\frac{25}{3}\) Now we move the constant back over and set the parabola back equal to y:

\(y=3(x+\frac{1}{3})^2-\frac{25}{3}\) which shows us that the vertex is

\((-\frac{1}{3},-\frac{25}{3})\)