The product of a number and negative 7/10 is 1/2 what is the number

The union of events A and B combines their sample points, and the probability of the combined event can be calculated using the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B). This formula ensures that shared sample points are not double-counted.  The probability of either event A or event B occurring, P(A ∪ B), is equal to 200.

The symbol ∪ represents the union of events. When two events, A and B, are combined through union, the resulting event contains all the sample points that belong to event A or event B or both events. The probability of the combined event, denoted as P(A ∪ B), can be calculated using the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where P(A) represents the probability of event A, P(B) represents the probability of event B, and P(A ∩ B) represents the probability of their intersection.

The maximum probability for the combined event is 1.0, which indicates certainty. This occurs when event A and event B are identical or when they have a non-empty intersection. On the other hand, the probability of the combined event is 0 if there are no shared sample points between events A and B, indicating that they are mutually exclusive.

To calculate the probability of either event A or event B occurring, we use the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B). We add the individual probabilities of A and B and then subtract the probability of their intersection, which avoids double-counting the shared sample points.

For example, let's assume P(A) = 150 and P(B) = 170, while P(A ∩ B) = 120. Substituting these values into the formula, we get:

P(A ∪ B) = 150 + 170 - 120 = 200

Therefore, the probability of either event A or event B occurring, P(A ∪ B), is equal to 200.

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Answer:

I think the answer would be $21

Step-by-step explanation:

On a calculator you type 108.53 then divide it by six and add 18%.

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.

Combining like terms, the equation becomes:

3p^2 - 10p + 5 = 0

Now, we can use the quadratic formula to solve for p. The quadratic formula states:

p = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:

p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)

Simplifying further:

p = (10 ± √(100 - 60)) / 6

p = (10 ± √40) / 6

p = (10 ± 2√10) / 6

Now, we can simplify and find the two possible values of p:

p₁ = (10 + 2√10) / 6

p₂ = (10 - 2√10) / 6

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

In simplified form, the solutions are:

p₁ = (5 + √10) / 3

p₂ = (5 - √10) / 3

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Answer:

13

Step-by-step explanation:

brainliest plssss

Answer:

336

Step-by-step explanation:

They can place 1 of 8 frags on the bottom.

Now they have 7 flags left.

They can place 1 of 7 flags in the middle.

Now they have 6 flags left.

The can place 1 of 6 flags on top.

8 × 7 × 6 = 336

Answer:

What questions???

Step-by-step explanation:

Answer:

CD= 9

Step-by-step explanation:

AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.

Answer:

5 PLZ GIVE BRAINLIEST

Step-by-step explanation:

83+37 = 120

120/5=24

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Since 1 and 3 are vertical angles, the graphic demonstrates that m1 = 90. They have identical measurements, therefore m3 = 90. 1 and 2 are additional.

A circle is formed when every point in the plane that is a specific distance apart from another point does so (center). Thus, it is a curve made up of points that are separated from one another by a set distance while moving in the plane. It is also rotationally symmetric about the center at all angles. A circle is a closed, two-dimensional object where each pair of points in the plane is equally separated from the "center." A specular symmetry line is made by drawing a line through the circle. It is also rotationally symmetric about the center at all angles.

given

when measured with a protractor, points to 100°, crossing 90°. As a result, the angle has a 100° measurement.

Since 1 and 3 are vertical angles, the graphic demonstrates that m1 = 90. They have identical measurements, therefore m3 = 90. 1 and 2 are additional.

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Answer:

D. A’(-4,-4), B’(-4,4)C’(8,-4)

Step-by-step explanation:

For the given average principal $28650 of per student loan at the rate of interest increases from 5.05% to 6.8% , the amount of interest increases for the period of 10 years is equal to $8424 (nearest dollars).

As given in the question,

Principal amount owed by student for student loan 'P' = $28,650

Rate of interest increases from 5.05% to 6.8%

Time period of repayment of student loan 'T' = 10-years

Interest for the first rate of interest 'R' = 5.05%

Interest = P ×( 1+ R/100)^T

             = 28,650 × ( 1 + 5.05/100 ) ^10

             = 28,650 × ( 1 + 0.0505 )^10

             = 28,650 × 1.63667

             = $46,890.6

Interest for the second rate of interest 'R' = 6.8%

Interest = P ×( 1+ R/100)^T

             = 28,650 × ( 1 + 6.8/100 ) ^10

             = 28,650 × ( 1 + 0.068 )^10

             = 28,650 × 1.930689

             = $55,314.2

Increase in interest amount for increase in rate of interest from 5.05% to 6.8%

=  $( 55,314.2 - 46,890.6 )

= $8423.6

=$8424 ( nearest dollar)

Therefore,  for the given average principal $28650 of per student loan at the rate of interest increases from 5.05% to 6.8% , the amount of interest increases for the period of 10 years is equal to $8424 (nearest dollars).

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Answer:

a^2-12a+36

Step-by-step explanation:

;)

The square root of 0.36

= \(\sqrt{0.36}\)  = 0.6

ans: 0.36

Happy to help!

Answer:

It’s just -24 minus -18 so that’s $-6

Step-by-step explanation:

Answer:

m = 18

as 44 : 12 :: 66 : m

therefore 44÷(12×66)

=44÷792

= 18

Answer:

m = 18

Hope this helps and have a great day!

And please mark me brainliest if you can :)

The correct system of equations that describes the situation is: 0.12x + 0.38y = 0.25(100) x + y = 100. Riley to make a 25% saline solution using the available 12% and 38% saline mixtures.

The problem states that Riley wants to make 100 ml of a 25% saline solution using 12% and 38% saline mixtures. To solve this problem, we need to set up a system of equations that represents the given conditions. Let x represent the amount of the 12% solution used, and y represent the amount of the 38% solution used.

The first equation in the system represents the concentration of saline in the mixture. We multiply the concentration of each solution (0.12 and 0.38) by the amount used (x and y, respectively) and add them together. The result should be equal to 25% of the total volume (0.25(100)) to obtain a 25% saline solution.

The second equation in the system represents the total volume of the mixture, which is 100 ml in this case. We add the amounts used from both solutions (x and y) to get the total volume.

By solving this system of equations, we can find the values of x and y that satisfy the given conditions and allow Riley to make a 25% saline solution using the available 12% and 38% saline mixtures.

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Answer:

m=4

Step-by-step explanation:

m = y2 - y1/x2 - x1

(y2=8, y1=0, x2= 2, x1=0)

m = y2 -y1/x2 - x1

= 8 - 0/2 - 0

= 8/2

=4

To calculate the safe radius R for a curve with a given superelevation, we can use the formula\(R = f(V^2/g)(1 + (a^2)),\)where V is the velocity in feet per second, a is the superelevation, f and g are constants.

Given:

V = 49 miles per hour = 49 * 5280 feet per hour = 49 * 5280 / 3600 feet per second

a = -48/316

t = 0.016

Substituting these values into the formula, we have:

\(R = f((49 * 5280 / 3600)^2 / g)(1 + ((-48/316)^2))\)

To calculate R, we need the values of the constants f and g. Unfortunately, these values are not provided in the. Without the values of f and g, it is not possible to calculate R accurately.

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Answer:

i don't know if it's dependent or not cuz not native english speaker, but here's the answer

Step-by-step explanation:

\(\left \{ {{12x+3y=12} \atop {y=-4x+5}} \right.\)   \(\left \{ {{-4x-y=-4} \atop {4x+y=5}} \right.\)  ⇒ 0=1      (x; y) ∈ ∅

Answer:

6+x

Step-by-step explanation:

An expression is a set of operations without an equal sign. This question is asking which operation is being performed. The question states that there should be six more than x, this means 6 is being added to x. So, addition should be used to make the expression.

For this problem, we are informed that a population of frogs grows 24% every year, and we are asked to create a model for the growth of 100 frogs released into a pond.

The initial value of the population is equal to 100 frogs, so we have:

After the first year, the population grew by 24%, so we have:

After the second year, the population grew again by 24%, but this time in relation to the population after the first year, so we have:

In the third year, the population increased again by the same rate, we can represent it as shown below:

We can now see a trend, after a certain year, the size of the population can be found by multiplying the initial population with the increase rate powered by the number of years that have passed. A general model would be:

Since we know the value of the initial population, the complete model is:

Now we need to find the population after 5 years:

The population of frogs will be equal to 293 frogs after 5 years.

Now we need to find the population after 10 years:

After 10 years, the population will be 859 frogs.

Now we need to determine how many years it will take to have at least 1000 frogs. For this, we need to replace P(n) with 1000, and solve for n.

The population will be at least 1000 frogs for any time greater than or equal to 10.702 years.

Answer:

Step-by-step explanation:

The perimeter of a quarter circle can be calculated by adding the length of the arc and the two radii that make up the quarter circle.

The length of the arc of a quarter circle is given by (πr)/2, where r is the radius of the quarter circle and π is approximately 3.142 (as given in the question).

So, for a quarter circle with a radius of 7 cm, the length of the arc would be:

(πr)/2 = (3.142 x 7)/2 = 10.997 cm (rounded to 3 decimal places)

The two radii that make up the quarter circle are each equal to the radius of the quarter circle, so the total length of the two radii would be:

2r = 2 x 7 = 14 cm

Therefore, the perimeter of the quarter circle would be:

10.997 cm + 14 cm = 24.997 cm (rounded to 3 decimal places)

So the perimeter of the quarter circle is approximately 24.997 cm. The digits given by the calculator will depend on the specific calculator used.

All the missing angles of the given image are;

(a) = 145°

(b) = 35°

(c) = 145°

(d) = 35°

(e) = 145°

(f) =35°

The line transversal theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Thus, angle e is a corresponding angle to 145°

Angle f is a corresponding angle to 35°

Similarly, angle b is an opposite angle to 35° while angle c is an opposite angle to 135°

Angle a is opposite to angle e and as such angle a = 145°

Angle d is opposite to angle f and as such angle d = 35°

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Answer:

(2, 1)

Step-by-step explanation:

8x - 9 = 7

8x = 16

x = 2

y = 2(2) - 3

y = 4 - 3

y = 1