\(\frac{x}{5}\) + 7 = -3

Answer:

I think y and z = 45

Answer:

140-5x

Step-by-step explanation:

x would be the number of minutes

for eg, after 1 min, the temperature of the steak would be 140-5(1) = 135

not sure how to explain this, but its basically the start temperature - change

Answer:

1: 7     2: 3

Step-by-step explanation:

Answer:

1.)x=7

2.)x=27

Step-by-step explanation:

1.) 84/12=7

2.) 9*3=27

    27/9=3

Answer:

perimeter = 12 + √74

area = 17.5

Step-by-step explanation:

See the drawing below.

This is a right triangle.

The legs have lengths 5 and 7.

We can find the length of the hypotenuse using the Pythagorean Theorem.

5² + 7² = e²

e² = 74

e = √74

perimeter = 5 + 7 + √74

perimeter = 12 + √74

area = bh/2

area = 5 × 7/2

area = 17.5

Being a female and participating in sports are independent events for the provided data because P(girl) = P(girl participates in sports)

These are the occurrences that are independent of other occurrences.

Occurrences A and B are independent events when the likelihood of one occurring is unaffected by the occurrence of the other.

Probability of independent events formula:

"P(A∩B) = if A and B are independent occurrences P(A).P(B)

Finding the chance that an event will occur is the focus of this area of mathematics."

P(A) = n(A)/n(S), where n(A) is the number of positive outcomes and n(S) is the total number of possible outcomes for an event A.

For given question,

We have been given a table that shows the results broken down by gender.

            Play sports         Do not play sports       Total

Boy            95                          45                        140

Girl             76                           59                       135

Total          171                            104                     275

Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 135/275

⇒ P(girl) = 0.49                    ....................(1)

Now we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport)

= Number of girls who plays a sport/ number of students who plays a sport

= 76/ 171

= 0.44                                    ......................(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, being a girl and playing a sport are Independent events.

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Answer:

s^15

Step-by-step explanation:

When multiplying exponents with the same base, add the exponents

Answer:

approximately 254.5

btw area of circle= pi multiplied by radius

Step-by-step explanation: I got you bro

Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]

but because it asks for nearest tenth

254.5 in²

this is your real answer

Step-by-step explanation:

19. Kim's Path = √240² + 100²

= √57600 + 10000

= √67600

= 260 ft.

Answer:

17 question: we are going to use Pythagorean Theorem :

33^2 + 56^2 = x^2

1089+3165 = x^2

4225=x^2

x=-65

x=65

the answer is c)65

18 question i dont know :((

19 question : we are going to use same method as the first question : the answer is 260 ft

that's all that i can do for you

Step-by-step explanation:

hope this helps you :)

Answer:

To find an ordered pair (x, y) that is a solution to the equation -x + 2y = 7, we can substitute any values of x and y that satisfy the equation. For example, let x = 3, then we can solve for y:

-3 + 2y = 7

2y = 10

y = 5

So (3, 5) is an ordered pair that is a solution to the equation.

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Answer:

7(x - 8)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Substitute the given values into the expression

3² + 3(8) ÷ 2 - 2(5)

= 9 + 24 ÷ 2 - 10 ← evaluate division before addition/ subtraction

= 9 + 12 - 10

= 21 - 10

= 11

Answer:

Pretty sure its 5.

Step-by-step explanation:

AB should represent the space between A and B so i think it would be 5.

The theoretical probability of landing on pink is 3/10, and the experimental probability is 30%. Therefore, option D is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, a spinner with 4 equal sections is spun 20 times.

The frequency of spinning each color is recorded in the table below.

Outcome         Frequency

   Pink                    6

   White                  3

   Blue                    7

   Orange               4

Probability of landing on color pink is 6/20

= 3/10

= 3/10 ×100

= 30%

Therefore, option D is the correct answer.

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Answer:

0.0667 = 6.67% probability that all seven machines are nondefective.

Step-by-step explanation:

The machines are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

10 machines means that \(n = 10\)

2 defective, so 10 - 2 = 8 work correctly, which means that \(k = 8\)

Seven are selected, which means that \(n = 7\)

What is the probability that all seven machines are nondefective?

This is P(X = 7). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 7) = h(7,10,7,8) = \frac{C_{8,7}*C_{2,0}}{C_{10,7}} = 0.0667\)

0.0667 = 6.67% probability that all seven machines are nondefective.

Answer:

21670

Step-by-step explanation:

3 which is after 7 on the ten column is not up to or more than 5

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

$18.28

Step-by-step explanation:

To complete this problem is a straightforward answer:

First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!

Answer:

Step-by-step explanation:

let dogs be heads. Let cats be tails. A coin has two sides, in which you are flipping two of them. Note that there can be the possible outcomes  

h-h, h-t, t-h, t-t.  

How this affects the possibility of two dogs & two cats. Note that there are 1/2 a chance of getting those two (with the others being one of each), which means that out of 4 chances, 2 are allowed.  

2/4 = 1/2  

50% is your answer

Heads represents cats and tails represents dogs. There is two coins because we are checking the probability of two pets. You have to do the experiment to get your set of data, once you get your set of data, you will be able to divide it into the probability for cats or dogs. To change the simulation to generate data for 3 pets, simply add a new coin and category for the new pet.

Answer:

1. -12x^8

2. 8x^6

3. 16x^11

Step-by-step explanation:

The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.

The given table represents the Multiplication table.

To fill the table we need to multiply the corresponding elements of that cell of the table.

For drop-down 1,

\((-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}\)

\((-4x^{11})\times (3x^{-3})=-12x^{8}\)

For drop-down 2,

\((-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}\)

\((-4x^{11})\times (-2x^{-5})=8x^{6}\)

For drop-down 3,

\((-4x^{11})\times (-4)=(-4\times (-4))x^{11}\)

\((-4x^{11})\times (-4)=16x^{11}\)

Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.

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Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem:

Then:

\(p = \frac{6}{20} = 0.3\)

0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

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Answer:

Yes, it is.

Step-by-step explanation:

A polynomial is a mathematical expression containing two or more terms.

For example, a+b is a polynomial. 2a-23b+c is also a polynomial.

Hope this helps :)

Answer:

Yes x^-3-5y^-2 is a polynomial

Step-by-step explanation:

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 and x^-3-5y^-2 is a polynomial.

Answer:

12

Step-by-step explanation:

area =1/2 base×height

=1/2 ×4×6

=12

Answer:

Step-by-step explanation:

Formula for area of a triangle:

Height x Base /2

Base (b) = h +4

Height = h

h + 4 x h /2 = 30cm

=> h +4 x h = 60

=> h+4h =60

=> 5h = 60

=> h = 12

Height = 12

Base = 12 +4 = 16

Answer:

# of ways to succeed:: 3! = 6

# of possible arrangements:: 5!

-----

Ans: 6/5! = 0.05

Answer:

$

180

Step-by-step explanation:

The original price is the quotient between $120 and 2/3, we get:

P = $180

We know that 2/3 of the original price is $120, then to get the original price, we need to take the quotient between $120 and 2/3.

\(P = \frac{\$120}{2/3} = (3/2)*\$ 120\)

By taking that quotient we will see that the original price of the coat is:

\(P = (3/2)*\$120 = $180\)

We conclude that the original price of the coat is $120.

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The True- False of given statements of Solutions of Equations are justified.

1.13 False. The solution set to a system of three equations in three unknowns can be a point, a line, or a plane. It depends on the system of equations and how they intersect in three-dimensional space.

1.14 False. A system of linear equations can have infinitely many solutions, one solution, or no solutions. It depends on the coefficients of the equations and the rank of the coefficient matrix.

1.15 False. The solution set to a consistent rank 2 linear system in four unknowns would be a plane in four-dimensional space, not a line.

1.16 False. A system of four equations in four unknowns may not have a solution, or it may have infinitely many solutions or one solution. It depends on the coefficients of the equations and the rank of the coefficient matrix.

1.17 False. A system of four equations in four unknowns can have infinitely many solutions or one solution, but it cannot have at most one solution.

1.18 True. The rank of a system is always less than or equal to the number of equations in the system.

1.19 (a) False. If (i) has exactly one solution, it does not necessarily mean that (ii) will have exactly one solution. It depends on the coefficients of the equations in (ii).

(b) False. If the solution set of (i) is a line, it does not necessarily mean that the same is true for (ii). It depends on the coefficients of the equations in (ii).

(c) True. If (i) has no solutions, then the same is true for (ii), since (ii) is equivalent to (i).

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Answer:

100+150DHS

Step-by-step explanation:

100 base and 150 is the rate per a day