Solve the equation for X:
3x – 8 – 5x
2(x+3)

Answer:

4x+12 ≤ 0 or 4x+1>3

4x ≤ -12 or 4x+1 > 3

x ≤-3 or x >1/2

The radius is approximately 3.78 inches.

We can solve the question using the formula for the surface area of a sphere:

S=4πr^2

We are given that the surface area is 225 square inches, so we can substitute this value into the formula and solve for r:

\(225=4\pi r^2\frac{225}{4\pi}\)

      = r^2

r={{225}{4π}}

approx  3.78

A sphere does not have any edges or vertices, like other 3D shapes. The points on the surface of the sphere are equidistant from the center.

Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere.

The Radius of a circle or sphere is equal to the Diameter divided by 2.

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Joe can make a total of 81 different first-aid kits using exactly one of each item.

To find the number of different first-aid kits Joe can make, we can use the multiplication principle of counting. According to this principle, if there are n₁ ways of doing the first task and n₂ ways of doing the second task, then there are n₁ * n₂ ways of doing both tasks together.

In this case, Joe has 3 options for choosing a bandage, 3 options for choosing a disinfectant, and 9 options for choosing a thermometer. Using the multiplication principle of counting, the total number of different first-aid kits Joe can make using exactly one of each item is:

Total number of different first-aid kits = (number of options for bandage) * (number of options for disinfectant) * (number of options for thermometer)

= 3 * 3 * 9

= 81

Therefore, Joe can make a total of 81 different first-aid kits using exactly one of each item.

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7.0% is the maturity yield. It is computed by taking into account the present value of the bond's future cash flows, the face value, and the current market price.

A bond's yield to maturity is a measure of the expected return on investment. It takes into account the bond's face value as well as the current market price and future cash flows. In this case, the bond has a 10-year maturity period, a 3% coupon rate, annual payments, and a $1,000 face value. If it is currently trading at $901, the can be calculated. To begin, we must compute the present value of the bond's future cash flows, which include coupon and principal payments. The YTM is used in this case. The in this case is 7.0%, implying that an investor will earn a 7.0% return.

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Answer:

Step-by-step explanation:

1) Use the sum-product pattern:

\(y^{2} +2y-48\\y^{2} -8y-6y-48\)

2) Common factor from the two pairs:

\(y^{2} +8y-6y-48\\y(y+8)-6(y+8)\)

3) Rewrite in factored form:

\(y(y+8)-6(y+8)\\(y-6)(y+8)\)

Answer:

4 fourths are in one whole

8 eighths are in one whole

and 3 thirds are in one whole

Step-by-step explanation:

Answer: 6xy

Explanation:

a. The odds for E are: 2 to 1.

b. The odds against E are: 1 to 2.

a. The ratio between the likelihood that an event will occur and the likelihood that it won't is known as the odds for an event, or E. Hence, the following formula can be used to get the probability for E:

Odds for E = P(E) / (1 - P(E))

Given that P(F) = 0.66 and P(E ∩ F) = 0.33, we can calculate the probability of E as follows:

P(E) = P(E ∩ F) / P(F)

= 0.33 / 0.66

= 0.5

Therefore, the odds for E can be calculated as:

Odds for E = P(E) / (1 - P(E))

= 0.5 / (1 - 0.5)

= 0.5 / 0.5

= 1

Therefore, the odds for E are 2 to 1.

b. The probability of an event occurring E is the ratio between the likelihood that an event will occur and its lack thereof. Thus, we can compute the chances against E as follows:

Odds against E = (1 - P(E)) / P(E)

Given that P(F) = 0.66 and P(E ∩ F) = 0.33, we can calculate the probability of E as follows:

P(E) = P(E ∩ F) / P(F)

= 0.33 / 0.66

= 0.5

Therefore, the odds against E can be calculated as:

Odds against E = (1 - P(E)) / P(E)

= (1 - 0.5) / 0.5

= 0.5 / 0.5

= 1

Therefore, the odds against E are 1 to 2.

Complete Question:

Suppose events E and F are independent, with P(F)=0.66 and P(E∩F)=0.33. Calculate the following and enter your answer one digit per box (Please simplify rour numbers to the extent possible).

a. The odds for E are: _____ to ______.

b. The odds against E are: _____ to ______.

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The predicted total number of calories for a food containing 25 grams of fat is approximately 483.55. 

The equation for the least-squares regression line is:

z = 13.198x + 153.6

where ŷ= predicted value of y (total calories), x = value of the predictor variable (grams of fat), 13.198= slope of the line, and 153.6= y-intercept of the line.

To find the predicted total calories for a food with 25 grams of fat, simplify by substituting x = 25 into the equation.

z = 13.198x + 153.6

ŷ = 13.198(25) + 153.6

ŷ = 329.95 + 153.6

z = 483.55

Therefore, the predicted total number of calories for a food containing 25 grams of fat is approximately 483.55. 

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Answer:

It is also called Archimedes constant which was named after the Greek mathematician, Archimedes, who created an algorithm to approximate the pi value. The value of pi is irrational, which means that the count of digits after the decimal point is infinite.

I hope this helped (;

Answer:

of a Circle. The circumference divided by the diameter of a circle is always π, no matter how large or small the circle is! To help you remember what π is ... just draw this diagram.

...

Step-by-step explanation:

The rate of the boat in still water is 48 km/h, and the rate of the current is 13 km/h.

Let's denote the rate of the boat in still water as "b" and the rate of the current as "c".

When the boat is traveling upstream, its effective speed is reduced by the speed of the current, so the boat's speed is (b - c). The distance traveled upstream is 210 kilometers, and the time taken is 6 hours. Therefore, we can set up the equation:

210 = (b - c) * 6

Similarly, when the boat is traveling downstream, its effective speed is increased by the speed of the current, so the boat's speed is (b + c). The distance traveled downstream is 366 kilometers, and the time taken is 6 hours. We can set up the equation:366 = (b + c) * 6

We now have a system of two equations with two unknowns. We can solve this system of equations to find the values of "b" and "c".

From the first equation, we can rewrite it as:

(b - c) = 210/6

b - c = 35 ... (Equation 1)

From the second equation, we can rewrite it as:

(b + c) = 366/6

b + c = 61 ... (Equation 2)

Now we can solve the system of equations by adding Equation 1 and Equation 2:

(b - c) + (b + c) = 35 + 61

2b = 96

b = 48

Substituting the value of "b" back into Equation 1, we can solve for "c":

48 - c = 35

c = 13

Therefore, the rate of the boat in still water is 48 km/h, and the rate of the current is 13 km/h.

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The assumptions in each case of this statistics problem is given as follows:

ts < tc Do not reject H0

P value > α Do not reject H0

There is insufficient data to determine that the mean scores of the two groups of pupils differ.

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Answer:15$

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]

18 . ( 5 ) ÷ [ 12 - 6 ]

90 ÷ 6

15

Answer:

61x over 3

=16? on a graph

Step-by-step explanation:

Answer:

\(x=37\,\sqrt{2}\)

Step-by-step explanation:

Notice you are dealing with a right angle triangle, since one of the angles measure \(90^o\). Now, what you are asked to find is the hypotenuse of that triangle, given an angle of \(45^o\) and the opposite side: 37 units. Then, we can use for example the sine function which relates opposite, and hypotenuse:

\(sin(45^o)=\frac{opposite}{hyp} \\hyp=\frac{opposite}{sin(45^o)} \\hyp=\frac{37}{\sqrt{2}/2}\\hyp=37\,\sqrt{2}\)

The exponential function is given by:

y = 6200(1.15)ˣ

Exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier

Let y represent the number of farmers after x years.

From the question:

a = 6200, b = 100% + 15% = 115% = 1.15

The exponential function is given by:

y = 6200(1.15)ˣ

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Answer:

yes your answer is right

Step-by-step explanation:

Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

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Answer:

  (b)  56.5 ft

Step-by-step explanation:

The circumference of a circle of diameter d is given by ...

  C = πd

For the given diameter, the circumference of the frame is ...

  C = (3.14)(18 ft) ≈ 56.52 ft

The length of the outside edge of the frame is about 56.5 feet.

Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Answer:

i - 6d/0.5

that's all i remember ive done this before but my memory is wack, im sorry

Answer:

Yes, 6(2b-4) when b is 5 is equal to 36. This can be calculated by substituting 5 for b in the equation and then solving for the value of 6(2b-4). This gives 6(10-4) which is equal to 36.

Step-by-step explanation:

Answer:

You are correct                

Step-by-step explanation:

6[2(5) -4]

6(10 - 4)

6(6)

36

The correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this scenario, Maria and John are conducting a study on the relationship between forearm length and height. Maria measures the subjects in centimeters and calculates the correlation coefficient to be r = 0.86. Since John measures the same subjects but in inches, we can expect that his correlation coefficient will still be approximately 0.86.

This is because the linear relationship between the variables remains the same, regardless of the unit of measurement used. The pattern in the data, which indicates a strong positive correlation, should persist even when converting from centimeters to inches.

Therefore, the statement "John's correlation will be approximately 0.86 because the pattern in the data will be the same" is the most accurate explanation.

It suggests that the linear relationship between forearm length and height, as observed by Maria, will be consistent when John measures the same subjects in inches, resulting in a similar correlation coefficient of approximately 0.86.

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Let us write the formula for probability,

The number of balls that lands in the black slot are 17, because we were told that half of the slots are red and half of the slots are black.

The total number of slots= 36

The probability of balls that land in a black slot will be,

Hence, P(ball lands in a black slot)= 17/36.

Answer:

Monique is correct

Step-by-step explanation:

The actually temperature decrease = 30 - (-5) = 35*F

Monique is correct

Answer:

?∠ = 123°

Step-by-step explanation:

? = 360 - 50 - 92 - 95 = 123°