The probability that an event will happen is . What is the probability that the event will not happen?

5/8
0
3/8

Answer:

(3,-1)

Step-by-step explanation:

The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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Answer: -35

Step-by-step explanation:

Answer:

The LCD is 6, I think.

Step-by-step explanation:

a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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Step-by-step explanation:

5a+9=5+3a

2a=-4 is the required value

Cindy's average tax rate is approximately 13.59%.

To calculate Cindy's average tax rate, we divide the total tax paid by her taxable income and then multiply by 100 to express it as a percentage.

Average tax rate = (Total tax paid / Taxable income) * 100

In this case, Cindy's taxable income is $65,500, and she has calculated that she will owe $8,902 in taxes.

Average tax rate = (8,902 / 65,500) * 100

Average tax rate ≈ 13.59%

Therefore, Cindy's average tax rate is approximately 13.59%.

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Cindy is projecting her earnings to be $90,000, a taxable income of $65,500, and has calculated that she will owe $8,902. Her average tax rate is 13.60%.

How to find the average tax rate?

The average tax rate is determined by dividing the total tax paid by the total income earned. The average tax rate is calculated by dividing the total amount of tax paid by the total taxable income.

Average Tax Rate = Total Tax Paid / Taxable Income Cindy's

The average tax rate can be found as follows:

Average tax rate = (Total tax paid ÷ Taxable income) × 100%

Average tax rate = ($8,902 ÷ $65,500) × 100%

Average tax rate = 0.135994 × 100% ≈ 13.60%

Therefore, Cindy's average tax rate is 13.60%.

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Answer:

NO (n = -5 is not a solution to the inequality).

Step-by-step explanation:

Given

\(6-n-6>11-6\)

Subtract 6 from both sides

\(6-n-6>11-6\)

Simplify

\(-n>5\)

Multiply both sides by -1 (reverse the inequality)

\(\left(-n\right)\left(-1\right)<5\left(-1\right)\)

Simplify

\(n<-5\)

Therefore, n = -5 is NOT a solution of the inequality because 'n' must be less than -5.

Hence,

NO (n = -5 is not a solution to the inequality).

Verification:

Given

\(6-n-6>11-6\)

substitute n = -5

6 - (-5) - 6 > 5

6+5-6 > 5

5 > 5

FALSE

Answer:

Step-by-step explanation:

Answer:394284

Step-by-step explanation: is this math

Answer:

6 1/2

Step-by-step explanation:

Distance is always positive

Add the absolute values of each of the numbers

|-2| + |4 1/2| = 2 + 4 1/2 = 6 1/2

Part-A:  linear model is not reasonable which is strong

Part-B : Strong, but linear model is not reasonable

Part-C :  Strong,  linear model is reasonable

Part-D : moderate, linear model is not reasonable

Given that,

We have to find explain the strength of the relationship in the data and whether or not it would be appropriate to fit a linear model.

We know that,

There are 4 options that are:

weak relationship

moderate, linear model is reasonable

strong, linear model is reasonable

strong, but linear model is not reasonable

moderate, but linear model is not reasonable

Therefore,

Part-A:  linear model is not reasonable which is strong

Part-B : Strong, but linear model is not reasonable

Part-C :  Strong,  linear model is reasonable

Part-D : moderate, linear model is not reasonable

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Answer:

240

Step-by-step explanation:

24 students sold 10 tickets so 24x10

Answer:

Side FE < Side DE < Side DF

Step-by-step explanation:

Side FE < Side DE < Side DF are in ascending order.  Side FE is the shortest because it is opposite the smallest angle (47 degrees).

D 11 1/4

Step-by-step explanation:

3/4 + 1 1/2 is 2 1/4

2 1/4 x 5 is 11 1/4

Answer:

Because in 0.78 78 is in the hundreths place so you would place 78/100

Step-by-step explanation:

Answer:

H0 : μ ≤ x

H1 : μ > x

The hypothesis :

The null hypothesis, H0 : μ ≤ x

The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;

The alternative hypothesis, H1 : μ > 8

For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.

Let the population mean value = x

The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :

H1 : μ > x

The wingspan height is 12 feet.

The correct option is (D)

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Height of plane= 20 feet

Wingspan height= 16 feet.

Model height= 15 feet

Model wingspan height= x

Now, using proportion

20/16 = 15/x

20x= 16 x 15

20x= 240

x= 240/20

x= 12 feet.

Hence, the wingspan height is 12 feet.

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This is a very simple case of inequality as a math word problem. Note that the situation that is best modeled by the math expression ≥ 16 is: "You must be at least 16 years old to get a driver’s license." (Option A). This means 16 years or older.

In mathematics, an inequality is a relationship that involves a non-equal comparison of two numbers or other mathematical expressions. It is most commonly used on a number line to compare the sizes of two numbers.

Less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and not equal (≠) are the five inequality symbols.

Both equations and inequalities are mathematical formulations formed by joining two expressions. The notation = denotes that two expressions in an equation are considered equal. In contrast, the two expressions in inequality are not necessarily equal.

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Full Question:

Which situation is best modeled by the inequality a ≥ 16?

a)You must be at least 16 years old to get a driver’s license.

b)You must get a driver’s license before you turn 16.

c)You must be older than 16 to get a driver’s license.

d)You must get a driver’s license on your 16th birthday.

your answer should be 3 :)

Answer:

392.69908169872 feet3

Step-by-step explanation:

1/3πr^2h

1/3π*5^2*15

125π

392.69908169872 feet3

We know that after 36 months, Martin will have to pay Richard P193,969.

Hi! Based on your question, Richard lends P154,600 to Martin at an 8.5% simple interest rate per annum, and the debt is payable after 36 months. To find out how much Martin will have to pay Richard after 36 months, we'll first calculate the interest.

Simple Interest = Principal × Rate × Time
Interest = P154,600 × 8.5% × (36 months / 12 months per year)
Interest = P154,600 × 0.085 × 3
Interest = P39,369

Now, add the interest to the principal to find the total amount Martin needs to pay Richard:
Total Amount = Principal + Interest
Total Amount = P154,600 + P39,369
Total Amount = P193,969

After 36 months, Martin will have to pay Richard P193,969.

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Answer:

First option. \((53\times100)\)

Step-by-step explanation:

Five thousand, three hundred = 5300

\(53\times100=5300\) (Correct)

\(510\times59=30090\) (Incorrect)

\(100\times500=50000\) (Incorrect)

Answer:

You only have to solve each one until you get the right answer, in this case this is what you can do:

Step-by-step explanation:

53 times 100 = 5,300

510 times 59 =  30,090

100 times 500 = 50,000

The right answer is the first one!

Hope this is right, and helps!!!

You should not drive faster than the indicated speed limit of 65 mph.

The top speed restriction on most highways is 65 mph. You may drive at 75 mph only if the posted speed limit is 75 mph. Otherwise, you should stay at your speed of 65 mph.

On the other hand, if the average speed of the traffic is 75 mph and you insist on going 65 mph. Then, instead of "moving with the flow," you become an obstruction in the road and put other drivers at graver risk.

A large number of vehicles are approaching you at 10 mph or more. A rear-end collision that may involve numerous cars might happen in the span of a split second of inattention.

The letter of the law and common sense are two different things. If you feel uneasy keeping up with the pace of the traffic. Take a different path.

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Polynomials are divided using synthetic division by the simplified form of long division.

Polynomials are divided using a technique called synthetic division, which uses a condensed version of long division. The procedures listed below can be used to divide a polynomial P(x) by a binomial of the form x - c (where c is a constant):

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Answer:

Step-by-step explanation:

answer is b

The indicial equation of the differential equation

2x2y′′+x(2x−1)y′+y=0 is:  The correct answer is: (r-1)(r-1/2).

The indicial equation of a differential equation is found by substituting a power series solution into the differential equation and equating the coefficients of like powers of x to zero.
In the given differential equation, 2x^2y'' + x(2x-1)y' + y = 0, we can see that the highest power of x is x^2. Therefore, we can assume a power series solution of the form y(x) = ∑(n=0)^(∞) a_nx^(n+r).
Substituting this into the differential equation and equating the coefficients of like powers of x to zero, we get:
2x^2(∑(n=0)^(∞) (n+r)(n+r-1)a_nx^(n+r-2)) + x(2x-1)(∑(n=0)^(∞) (n+r)a_nx^(n+r-1)) + ∑(n=0)^(∞) a_nx^(n+r) = 0.
Now, let's simplify this equation:
∑(n=0)^(∞) 2(n+r)(n+r-1)a_nx^(n+r) + ∑(n=0)^(∞) 2(n+r)a_nx^(n+r) - ∑(n=0)^(∞) (n+r)a_nx^(n+r-1) + ∑(n=0)^(∞) a_nx^(n+r) = 0.
Rearranging the terms and grouping them by powers of x, we get:
∑(n=0)^(∞) ((2(n+r)(n+r-1) + 2(n+r) - (n+r))a_n)x^(n+r) = 0.
Now, let's focus on the coefficient of x^(n+r). We can see that the coefficient is zero when:
2(n+r)(n+r-1) + 2(n+r) - (n+r) = 0.
Simplifying this equation, we get:
2(n+r)^2 - (n+r) = 0.
Factoring out (n+r), we get:
(n+r)(2(n+r)-1) = 0.
Therefore, the indicial equation of the given differential equation is:
(r-1)(2r-1) = 0.
This can be simplified as:
(r-1)(r-1/2) = 0.
So, the correct answer is: (r-1)(r-1/2).

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An nth-degree polynomial function with real coefficients satisfying the given conditions and n = 4, 2i and 3i are zeros and f(-1) = 150 can be found as follows:First of all, the complex conjugate of 2i is -2i and that of 3i is -3i. Since all coefficients of the polynomial are real, so their product must also be a factor of the polynomial.

The factor of the polynomial whose zeroes are 2i and -2i is(x - 2i) (x + 2i) = (x^2 + 4).Similarly, the factor of the polynomial whose zeroes are 3i and -3i is(x - 3i) (x + 3i) = (x^2 + 9).Therefore, the nth-degree polynomial function with real coefficients satisfying the given conditions is:f(x) = a (x^2 + 4) (x^2 + 9)Where a is the constant of proportionality.To find the value of a, substitute the value of x as -1 in the equation given in the problem and equate it to 150.

f(-1) = a ((-1)^2 + 4) ((-1)^2 + 9)150 = a (5) (10)a = 150/50a = 3

Hence, the required nth-degree polynomial function with real coefficients satisfying the given conditions is:f(x) = 3 (x^2 + 4) (x^2 + 9) and it has been obtained above.

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