I seriously need help with these circles. Please!

Answer:

B- The sales price = the original price - 25% of the originial price

Step-by-step explanation:

The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

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Answer:

I think the first one is 46,978

Answer:

Ohh i hope i can help you, but i dont know that, i had that in exam and didnt know

The cross section of a V-thread on a screw is an equilateral triangle. The distance p between successive threads is known as the PITCH of the thread, and the distance d is the DEPTH of the thread is 0.07.

To solve this problem, we can use the formula for the height of an equilateral triangle: h = √3/2 x s, where s is the length of one side (or the pitch, in this case).

Since the cross section of the V-thread is an equilateral triangle, the pitch (p) is equal to the length of one side of the triangle.

Therefore, s = p = 1/8. To find the depth (d) of the thread, we need to find the height (h) of the equilateral triangle. We know that the height is also equal to the distance from the top of one thread to the bottom of the next thread (i.e., the depth).

So: h = √3/2 x s h = √3/2 x 1/8 h = 0.0722 (rounded to nearest thousandth) Therefore, the depth of the thread (d) is approximately 0.07 (rounded to nearest hundredth).

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Answer:

16

Step-by-step explanation:

3:4 to  12:?

3*4=12

so 4*4=16

12:16

Using technology, the least square regression line equation which models the data is : y = -0.3x + 35.

b.) The slope of −0.3 means that the birth rate is decreasing by about 3 births per 1000 people every 10 years. The y-intercept of 35 means that in 1960 there were 35 births per thousand people.

Given the data :

Using either a linear regression calculator or excel :

The value of the slope, gives the rate of change in y per unit increase in x.

The intercept is the value of y when x = 0 ; This means that the number of births in 1960(beginning of the data collection), there were 35 births per thousand people.

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On solving the provided query we have Therefore, assuming that order equation counts, there are 20,736 different ways to arrange 12 different books on four shelves.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Using the permutation formula with repetition, we can determine how many different ways there are to arrange 12 books on 4 shelves.

\(n^r\)

where r is the number of empty spaces to be filled (in this example, 4 shelves) and n is the number of options to select from (12 distinct books in this case).

\(12^4 = 20,736\)

Therefore, assuming that order counts, there are 20,736 different ways to arrange 12 different books on four shelves.

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Maria gets 1/12 of the chips.

Lilly has 1/3 of chips. She gives Maria 1/4 of what she has to Maria. To find the fraction that Maria gets, we need to multiply the fraction Lilly gives to Maria (1/4) by the fraction of chips Lilly has (1/3).

Multiplying fractions involves multiplying the numerators and multiplying the denominators. So, multiplying 1/4 and 1/3 gives us (1 * 1) / (4 * 3), which simplifies to 1/12.

Therefore, Maria gets 1/12 of the chips.

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To find:

The method of drwaing the graph of given inequality.

Solution:

Given inequality: -3m +18 < 30.

Solve the inequality:

To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.

The number of ways the photographer can arrange 6 people in a row from a group of 10 people, where the two grooms are among these 10 people, is given by the combination formula:

10C6 = (10!)/(6!4!) = 210 ways

The combination formula is used to calculate the number of ways to choose r objects out of n distinct objects, where order does not matter. In this case, the photographer needs to select 6 people out of 10 people and arrange them in a row. Since the two grooms are included in the group of 10 people, they are also included in the selection of 6 people. Therefore, the total number of ways the photographer can arrange 6 people in a row from a group of 10 people is 210.

The photographer can arrange 6 people in a row from a group of 10 people, where the two grooms are among these 10 people, in 210 ways. This calculation was done using the combination formula.

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To prove the sum of all the intercepts = k^2

xi + yj +zk = k^2

The gradient of the function f(x,y,z) = s

f(x,y,z = 1/2sxi + 1/2 syj =1/2 szk

And the tangent plane at the point (xo,yo,zo) is

sx/x +  sy/y +  sz/z

=  sxo/xo +   syo/yo +  szo/zo

=>  sxo/xo +   syo/yo +  szo/zo = k       ........(1)

To find the x intercept , we set y =z=0 and obtain x = ksxo/sx. similarly, y = ksyo/yo and z= kszo/zo. their sum is

ksxo/xo + ksyo/yo + kszo/zo

=k( sx0/xo + syo/yo + szo/zo)

=k.k = k^2   ...from eqn 1

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Answer:

12x + 50 =210

Step-by-step explanation:

Given the data on the world problem, we know that one of our terms will be 12x because it says "each month" in the problem. If his mom is going to give him 50 dollars, and the Jordans cost 210, then we can write  a simple equation.

x = number of months it will take him

\(12x+50=210\)

Answer: 5.8=x

Step-by-step explanation:

$210=Price

$12=Each Month

$50=From Mom

120-50=70

70/12=5.8 Months

Answer:

37/50

Step-by-step explanation:

Step 1) Multiply 7/10 by 5/5 to get 35/50

Step 2) Add 3/50 and 35/50

Step 3) 3/50+ 35/50= 37/50

Answer:

Step-by-step explanation:

circumference = \(\pi\)* diameter

circ = 3 * 32

circ = 96

The system of linear differential equations is homogeneous and the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

Given the system of linear differential equations can be put in the form (A - λI)X = 0, where λ and X are the eigenvalue and eigenvector of the matrix A, respectively. Determine λ and X and determine whether the system is homogeneous or non-homogeneous. Choose the largest interval such that a unique solution of the initial value problem is guaranteed to exist.For the given system of linear differential equations:

dx/dt = 4x + 6y

dy/dt = -2x - 4y

the matrix A is given by:

 [4   6 ][-2 -4 ]

The eigenvalue λ can be found from the characteristic equation det(A - λI) = 0 as follows:

[4 - λ   6    ][-2    -4 - λ] = 0λ² - λ - 8 = 0

Solving the above equation, we get, λ = -1 and λ = 8.

Therefore, λ1 = -1 and λ2 = 8 are the eigenvalues of matrix A.

To find the eigenvectors, we solve the equation (A - λI)X = 0 for each λ separately.

For λ1 = -1, we get[A - (-1)I]X = 0

⇒[5   6 ][x    ] = 0[-2   -3][y    ]      [x    ][-2y  ]

Therefore, the eigenvector corresponding to

λ1 = -1 is

X1 = [x y]T = [2 -1]T.

For λ2 = 8, we get

[A - 8I]X = 0⇒[-4   6 ][x    ]

= 0[-2  -12][y    ]  [x    ][3y   ]

Therefore, the eigenvector corresponding to

λ2 = 8 is

X2 = [x y]T = [3 1/2]T.

The given system of linear differential equations can be written in the matrix form as

dX/dt = AX,

where A is the matrix [4 6][-2 -4] and X is the column vector [x y]T.

The general solution of this system is given by

X(t) = c1 e^(λ1t)X1 + c2 e^(λ2t)X2,

where c1 and c2 are constants of integration and X1 and X2 are the eigenvectors corresponding to the eigenvalues λ1 and λ2, respectively. Therefore, the general solution of the given system is given by

x(t) = 2c1 e^(-t) + 3/2 c2 e^(8t)y(t)

= -c1 e^(-t) + 1/2 c2 e^(8t)

where c1 and c2 are constants of integration to be determined from the initial conditions. Since the system of differential equations is homogeneous, the trivial solution x(t) = y(t) = 0 is a solution of the system. Hence, the system is homogeneous.

The given initial value problem has initial conditions x(0) = 1 and y(0) = 0.

Therefore, we have

c1 + 3/2 c2 = 1 and

-c1 + 1/2 c2 = 0

Solving these two equations, we get c1 = 1/5 and c2 = 2/5.

Therefore, the particular solution of the given initial value problem is given by

x(t) = (2/5) e^(-t) + (6/5) e^(8t)y(t)

= -(1/5) e^(-t) + (1/5) e^(8t)

Hence, the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

The system of linear differential equations is homogeneous and the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

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Answer:

x+6=y and 3x=12

Step-by-step explanation:

Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:

x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:

3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)

So our statements/equations are:

x+6=y and

3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)

Answer:

28.5

Step-by-step explanation:

(7×18+45)÷3×2

7x8 = 126

3x2 =6

(126+45) / 6

126+45= 171

171 /6

171/6 = 28.5

Answer:

Close, but the answer is 1/2

Step-by-step explanation:

The answer would be 2 when you are finding the scale factor of ABCD to EFGH, but since it is going from EFGH to ABCD, then all you have to do is divide by 2 or multiply by 1/2.

EFGH to ABCD= 12 • 1/2 = 6 or 12 ÷ 2 = 6

Answer:

Scalene triangle, right triangle.

Step-by-step explanation:

To find out what type of triangle this is, we have to find x, so we set up an equation:

The sum of interior angles in a triangle add up to 180°

(2x + 15°) + (4x - 10°) + (x) = 180°

Open paranthesis:

2x + 15° + 4x - 10° + x = 180°

Combine like terms:

7x +  5° = 180°

Same to both sides

7x = 175°

x = 25°

We plug in x for each of the values:

2(25°) + 15° = 65°

4(25°) - 10° = 90°

25° = 25°

Because none of the angles are equal, that makes this triangle a scalene triangle, and since one of the angles is a 90° angle, that makes this triangle a right triangle

I hope this helped, let me know if you have any questions.

Answer:

A function that changes the same way can be a linear function.

y = a*x + b.

Where the rate of change (this is, how much changes y when x increases or decreases) is defined by the coefficient a, that is constant.

for example, suppose that when x = x0, we have y = y0

y0 = a*x0 + b.

Now x0 increases by one unit, to (x0 + 1)

y = a*(x0 + 1) + b = (a*x0 + b) + a = y0 + a.

Then if x increases (or decreases) 1 unit, y increases (or decreases) a units.

Now, we can define the rate of change of a function as it's derivate with respect to some variable.

In this case, if we derive with respect to x, we have:

y' = a

Then the rate of change is constant.

Work Shown:

48w+23

48*3+23

144+23

167

It takes 167 minutes to cook 3 kg of meat.

Convert this to hours+minutes format.

167 min = 120 min + 47 min

167 min = 120/60 hr + 47 min

167 min = 2 hr + 47 min

Answer:

Canada

Step-by-step explanation:

Multiply $1.50 by the amount of liters in a gallon 3.78541 and it is less than 6.20

Answer:

peter pays more money

Step-by-step explanatipeter is more

because 4 liters is a bit over a gallon and each liter is 1.50 so 1.50 x 4 is 6 dollars so peter pays more money

We have enough data to reject our null hypothesis if the value of our test statistics falls below critical values of z at a 1.25% level of significance (critical values are -1.645 and 1.645). This is because the test statistic value will not fall within this region.

Given that the population mean is 650, we do a two-tail hypothesis test with a level of significance of 0.025.

Let, μ = population mean

Thus, Null hypothesis, \(H_{0}\):μ= 650.

Alternate Hypothesis, \(H_{A}\):μ≠650

In this case, the population mean is equal to 650, according to the null hypothesis.

The alternative hypothesis, on the other hand, contends that the population mean is not 650.

First things first: the level of significance to be accepted for the two-tailed test is (\(\frac{\alpha }{2}\)= \(\frac{0.025}{2}\)) = 0.0125 or 1.25%.

Therefore, the following is the decision rule for rejecting a null hypothesis:

We have enough data to reject our null hypothesis if the value of our test statistics falls in the rejection region and is less than the critical values of z at a 1.25% level of significance (critical values are -1.645 and 1.645). This is because the test statistic value will not fall within this region.

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Therefore, Pump B will have a longer average cycle time compared to Pump A.

To determine which pump will have a longer average cycle time, we need to calculate the cycle time for each pump based on the given information and compare the results. The cycle time for a single-server system can be calculated using Little's Law: Cycle Time = (1 / Arrival Rate) * (1 / (1 - Utilization))

Given:

Arrival Rate = 0.2 car per minute

Squared-Coefficient of Variation (CV^2) for Arrival Rate = 1

Utilization can be calculated as the product of the mean effective process time and the arrival rate:

Utilization = Mean Effective Process Time * Arrival Rate

For Pump A:

Mean Effective Process Time (A) = 4 minutes

Squared-Coefficient of Variation for Pump A = 0.5

Utilization (A) = 4 * 0.2 = 0.8

For Pump B:

Mean Effective Process Time (B) = 3 minutes

Squared-Coefficient of Variation for Pump B = 5

Utilization (B) = 3 * 0.2 = 0.6

Now, let's calculate the cycle time for each pump:

Cycle Time (A) = (1 / 0.2) * (1 / (1 - 0.8))

= 5 minutes

Cycle Time (B) = (1 / 0.2) * (1 / (1 - 0.6))

= 2.5 minutes

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With number = 6, the while condition is satisfied. Then number is decremented by 3, meaning we replace the value of number (6) with its current value minus 3 6 - 3 = 3.

Then with number = 6, we still have number > 0, so we decrement again and end up with number = 0.

With number = 0, number > 0 is no longer true, so we exit the loop.

Then the print statement simply prints the current value of number, which is 0.

Answer: The answer is 65.5%

Step-by-step explanation: I hope it helps you!

Answer:

Pretend the y-axis is a mirror

If the original shape is

P=4,-2

Z=5,-4

M=4,-4

The new image made by mirroring it will be

P’= -4,-2

Z’= -5,-4

M’= -4,-4

Step-by-step explanation:

Sorry if this doesn’t make sense, just graph P’, Z’, and M’ for a mirrored image

At b = 5, we have a solid circle, and the value of b is greater than 5. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given as

b ≥ 5

Then at b = 5, we have a solid circle, and the value of b is greater than 5.

Then the correct option is B.

The diagram is given below.

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The average daily balance at the end of the month will be $1,000.00 (option C).

To calculate the average daily balance, we need to determine the total balance over the 30-day period and divide it by the number of days (30) to get the average.

The daily balance for the first 10 days is $500, for the next 10 days is $1,000, and for the last 10 days is $1,500.

To find the total balance, we can multiply each daily balance by the number of days it was held:

Total balance = (10 days * $500) + (10 days * $1,000) + (10 days * $1,500)

Total balance = $5,000 + $10,000 + $15,000

Total balance = $30,000

Now we divide the total balance by the number of days (30) to find the average daily balance:

Average daily balance = Total balance / Number of days

Average daily balance = $30,000 / 30

Average daily balance = $1,000

Therefore, the average daily balance at the end of the month will be $1,000.00 (option C).

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