Find the 15th term of the geometric sequence 7, -21, 63,

Answer: If I am correcto, it's 638.625.

Sorry if the question may be Wrong, but, I am almost certain this is correct, from a Scientific point of Math.

The measure of angle DAC must be 60 degrees. Since a right angle is 90 degrees, the sum of the degrees of both of the angles must be that amount. If angle BAD is 30 degrees, the measure of angle DAC must be 60 degrees.

The information given:

a+b=8 (the sum of two numbers is 8)

b=a-6 (one number is 6 less than the other)

Since we have two equations and two variables, we can substitue one equation on the other:

a+(a-6)=8

a+a-6=8

2a-6=8

2a=8+6

a=14/2

a=7

Since we have a, now we substitute a in the equation:

7+b=8

b=8-7

b=1

Answer:

A) 6.25x+7.50=26.25

Step-by-step explanation:

To find how much she payed for every round she played (woah that rhymed) you multiply 6.25 by the amount of rounds she played, which is x.

That's where we get 6.25x

7.50 is the base cost, so she will pay that much regardless of how much she played.

26.25 is the total amount of money spent. The admition cost and how much she spent on playing ads up to her total cost

The PDF for the wait time (denoted by the random variable X) is

\(f_X(x) = \begin{cases}\lambda e^{-\lambda x} & \text{if }x \ge 0 \\ 0 &\text{otherwise}\end{cases}\)

where λ = 1/75. We want to find Pr[X > 70 | X ≥ 40]. Pierre has already been waiting for 40 min, so if he waits another 30 min he will have waited for a total of 70 min.

By definition of conditional probability,

Pr[X > 70 | X ≥ 40] = Pr[X > 70 and X ≥ 40] / Pr[X ≥ 40]

If X > 70, then automatically X ≥ 40 is satisified, so the right side reduces to

Pr[X > 70 | X ≥ 40] = Pr[X > 70] / Pr[X ≥ 40]

Use the PDF or CDF to find the remaining probabilities. For instance, using the PDF,

\(\mathrm{Pr}[X > 70] = \displaystyle \int_{-\infty}^{70} f_X(x) \, dx = \int_0^{70} f_X(x) \, dx \approx 0.3932\)

Or, using the CDF,

\(F_X(x) = \displaystyle \int_{-\infty}^x f_X(t) \, dt = \begin{cases}0&\text{if }x<0 \\ 1-e^{-\lambda x} & \text{if }x \ge 0\end{cases}\)

\(\implies \mathrm{Pr}[X > 70] = 1 - \mathrm{Pr}[X \le 70] = 1 - F_X(70) \approx 0.3932\)

Similarly, you'll find that Pr[X ≥ 40] ≈ 0.5866.

It follows that

Pr[X > 70 | X ≥ 40] ≈ 0.3932 / 0.5866 ≈ 0.6703

Answer:

2/ 3.00

3/4.50

4/6.00

Step-by-step explanation:

Let x denote the number of model A phones.

Let y denote the number of model B phones.

We can set up two equations with the given information.

The total number of phones in the inventory is 195.

Model A is valued at $75 and Model B at $110 and the total worth of these phones is $17,215.

Now we can use the substitution method to find the values of x and y.

From eq. 1, you can separate out any one of the variables and substitute it into eq. 2

Substitute it into the eq. 2

Finally, substitute the value of x into eq. 1 to find the value of y.

Therefore,

x = 121 the number of model A phones

y = 74 the number of model B phones

Answer:14.5

Step-by-step explanation:

Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Answer:

is 96

Step-by-step explanation:

its simple hope you do good

Answer:

It's 96

Step-by-step explanation:

it's  96 because 128-(128/8)=96

PLEASE MARK AS BRAINLEIST

Step-by-step explanation:

bring the common ones together

al +bl +am +bm

l(a+b) +m(a+b)

(l+m) (a+b)

Answer:

10.33

Step-by-step explanation:

mean = (6+13+4+15+17+7) / 6 = 62/6 = 10.33

Answer:

slope: -5/2

y-intercept: (0, 2)

Linear function: y = -5/2x + 2

Step-by-step explanation:

Given points (-2, 7) and (2, -3):

Use these points to solve for the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)

Let  (x1, y1) =  (-2, 7)

      (x2, y2) =  (2, -3)

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 7) / [2 - (-2)]

m = -10/ (2 + 2)

m = -10/4 = -5/2

Therefore, the  slope of the line in reduced form is m = -5/2.

The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis of the Cartesian grid. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, use one of the given points (2, -3) and the slope (m = -5/2), and substitute their values into the slope-intercept form:

y = mx + b

-3 = -5/2(2) + b

-3 = -5 + b

Add 5 to both sides to solve for the y-intercept, b:

-3 + 5 = -5 + 5 + b

2 = b

Given the value of b = 2, it means that the y-intercept is (0, 2).

Therefore, given the slope of -5/2, and the y-intercept, b = 2:

The linear equation in slope-intercept form is: y = -5/2x + 2

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The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Answer:

N = 1/4

Step-by-step explanation:

Okay, so 1/4 is equal to N.

3/4 x1/4=3/16

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

Probability of 15 = 3/10

Probability of 14 = 2/10

Probability of 10 = 2/10

Probability of 12 = 1/10

Probability of 20 = 1/10

Probability of 25 = 1/10

Step-by-step explanation:

→ Find how many numbers there are

2 14's, 3 15's, 2 10's, 1 12, 1 20 and 1 25 ⇒ The x value row will be 14, 15 ,10 ,12, 20 and 25

→ Now divide each front number by the total

Probability of 15 = 3/10

Probability of 14 = 2/10

Probability of 10 = 2/10

Probability of 12 = 1/10

Probability of 20 = 1/10

Probability of 25 = 1/10

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

Answer:

Blue = YES

Red = NO

Green = YES

Step-by-step explanation:

Given the distribution of colors on a spinner :

Blue = 4 ; Red = 6 ; Green = 2

Number of spins = 24

Total = (4 + 6 + 2) = 12

Recall:

Probability, P = required outcome / Total possible outcomes

P(red) = 6 /12 = 1/2

P(blue) = 4 / 12 = 1/3

P(green) = 2 / 12 = 1/6

On 24 spins :

Possible number of red = 1/2 * 24 = 12

Possible number of green = 1/6 * 24 = 4

Possible number of blue = 1/3 * 24 = 8

Therefore, P(K|J) is equal to 1/5 in its simplest form.

What is fraction?

A fraction is a mathematical expression that represents a part of a whole. It is written in the form of one integer (the numerator) divided by another integer (the denominator), separated by a horizontal line. For example, the fraction 2/5 represents two parts out of a total of five parts.

The numerator represents the number of parts we are interested in, while the denominator represents the total number of equal parts that make up the whole. Fractions can be proper (the numerator is less than the denominator), improper (the numerator is greater than or equal to the denominator), or mixed (a whole number and a fraction together). Fractions are used in a wide range of mathematical operations, such as addition, subtraction, multiplication, and division.

by the question.

We can use the formula P(B/A) = P(B∩A)/P(A) to calculate P(KJ), where A is the event that J occurs, and B is the event that K and J occur.

First, we need to find P(K|J∩N). We can use the formula P(JNK) = P(KJ∩N)/P(J) to find this value.

\(P(K|J∩N) = P(JNK) * P(J) = (1/5) * (3/7) = 3/35\)

Next, we need to find P(J) = 3/7.

Finally, we can use the formula P(K|J) = P(K|J∩N)/P(J) to find P(KJ):

\(P(K|J) = P(KJ∩N)/P(J) = (3/35) / (3/7) = (3/35) * (7/3) = 1/5\)

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Answer:

x = -5 , x = 1

Step-by-step explanation:

f(x) = ⅔(x + 5)(x - 1)

0 = ⅔(x + 5)(x - 1) → x + 5 = 0 OR x - 1 = 0

x = -5 , 1

Answer:

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\frac{5}{6}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

about like 4-5

Step-by-step explanation:

its 4 or 5

Answer:

(z+w)y = X

Step-by-step explanation:

first add Z to both sides

w+z = x/y

then multiply both sides by Y

(w+z)y=x