why is the equation y = mx + b called the slope - intercept form?​

Answer:

Step-by-step explanation:

The coordinate point of intersection on the graph will be at (1.5, 4.5)

Given the equations Dimitri wrote expressd as:

y = 3x

y = x + 3

Since they are both y-values, we can equate the right hand side to have:

3x = x + 3

3x - x = 3

2x = 3

x = 3/2

x = 1.5

Get the value of y:

y = 3x

y = 3(1.5

y = 4.5

Answer:

I don't know this problem or the answer

Answer:

(-15,7) (11,7) (-2,20) (-2,-6)

Step-by-step explanation:

There are four possible coordinate pairs which are (-15,7), (11,7), (-2,20) and (-2,-6).

Given that Point M is located at (-2,7).

If point N is 13 units away from point M,  we have to find the possible cordinate pairs.

When N is vertically upwards of M, then the x point will not change but the point y is increased by 13.

So the point N is located at (-2, 7+13) which is (-2, 20).

When N is vertically downwards of M, then the x point will not change but the point y is decreased by 13.

So the point N is located at (-2, 7-13) which is (-2, -6).

When N is horizonatally rightside of M, then the y point will not change but the point x is increased by 13.

So the point N is located at (-2+13, 7) which is (11, 7).

When N is horizonatally leftside of M, then the y point will not change but the point x is decreased by 13.

So the point N is located at (-2-13, 7) which is (-15, 7).

Hence, there are four possible coordinate pairs which are (-15,7), (11,7), (-2,20) and (-2,-6).

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The probability that at least 96 of the 244 students admitted to binge drinking in the last week is approximately equal to 0.999996 or 0.9999 (rounded to four decimal places).

We can calculate it using the binomial probability distribution as follows:

follows:

P(X ≥ 96) = P(X = 96) + P(X = 97) + ... + P(X = 244 - n)

P(X ≥ 96) = 1 - P(X < 96)

P(X < 96) = P(X ≤ 95)

P(X < 96) = Σ_(k=0)⁹⁵ (244 C k) (0.44)^k (0.56)⁽²⁴⁴⁻k⁾

P(X ≥ 96) = 1 - P(X < 96)P(X ≥ 96) = 1 - P(X ≤ 95)

Now we can use any statistical calculator or standard normal distribution table to find the cumulative probability corresponding to the probability value of P(X < 96).

Using an online calculator, we get:

P(X ≥ 96) ≈ 1 - 3.124 x 10⁻⁶

P(X ≥ 96) ≈ 0.999996

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Answer:

Not a function

Step-by-step explanation:

For 0 in the domain (input), there are two possible values in the output (range). This goes against the definition of a function, where every element in the domain must have only one value in the range.

Hope this helps!

Answer:

x = 7

Step-by-step explanation:

2 (-4x + 2) + 5x - 2 = -19       Distribute 2 to -4x and 2

-8x + 4 + 5x - 2 = -19            Combine like terms

-3x + 2 = -19                          Subtract 2 from both sides

-3x = -21                                To get x by itself, divide -3 on both sides

x = 7

Answer:

286

Step-by-step explanation:

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

C

Step-by-step explanation:

There are 3 pairs of corresponding sides with proportional lengths.

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Type I error (also called a false positive) occurs when a null hypothesis is rejected when it is actually true. The probability of committing a Type I error is denoted by the symbol alpha (α), and is typically set at a certain level (e.g., 0.05 or 0.01) depending on the significance level desired for the hypothesis test.

Type II error (also called a false negative) occurs when a null hypothesis is not rejected when it is actually false. The probability of committing a Type II error is denoted by the symbol beta (β). The power of a statistical test is equal to 1 minus the probability of a Type II error (i.e., power = 1 - β).

Therefore, the statement that is true regarding the probability of Type I and Type II errors is that they are complementary to each other. That is, as the probability of a Type I error decreases (by setting a lower significance level), the probability of a Type II error generally increases (i.e., the power of the test decreases). Conversely, as the probability of a Type II error decreases (by increasing the sample size or effect size), the probability of a Type I error generally increases. It is important to strike a balance between controlling these two types of errors, depending on the specific goals and context of the research or hypothesis test.

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Answer: Whole= Part x %/100

Step-by-step explanation:

All of the other equations are algabraecally correct when solving for either part whole or percent but Whole \(\neq\) Part x %/100

Answer:

  7

Step-by-step explanation:

We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.

__

Let the thousands digit be 'd'. Then we want to find the integer solutions to ...

  n -1000d = n/9

  n -n/9 = 1000d . . . . . . add 1000d -n/9

  8n = 9000d . . . . . . . . multiply by 9

  n = 1125d . . . . . . . . . divide by 8

The values of d that will give a suitable 4-digit value of n are 1 through 7.

When d=8, n is 9000. Removing the 9 gives 0, not 1000.

When d=9, n is 10125, not a 4-digit number.

There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.

Answer:

Sasha has used the theoretical probability which assumes that all the possibilities have an equal chance of occurring but in reality, the chances of each probability happening are not going to be equally split with the chances of the bus being on time being slightly higher than being early or late. This is called the experimental probability where you actually test out the probability of the bus being on time, early or late which is much more accurate than the general, theoretical probability.

The THREE true statements regarding the graph of B(w) are;

A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.

C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.

E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.

We are given the graph represented by the quadratic function;

B(w) = 120w/(150 + w²) for w ≥ 0 that models;

the number of boxes, B, in thousands, of the cereal sold after w weeks

From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct

Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct

Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.

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In the given regression model, the coefficient for the "mailer" variable is 0.093943. This means that for individuals who are not affiliated with a political party, receiving a mailer is associated with a 0.093943 increase in voter turnout.

The coefficient is expressed in percentage points, which means that for every one-unit increase in the mailer variable (i.e., for every individual who receives a mailer), the predicted increase in voter turnout is 0.093943 percentage points.

0.093943 x 100 = 9.3943%

So, receiving a mailer is expected to increase voter turnout by approximately 9.4% for individuals who are not affiliated with a political party. However, the question specifically asks for the increase in terms of percentage points, not percent.

To convert from percent to percentage points, we simply multiply by 100. Therefore, the increase in voter turnout in terms of percentage points is:

0.093943 x 100 = 9.3943 percentage points

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Answer:

11 inch dummy

Step-by-step explanation:

4 + 7=11

Answer:

Divide by 7 on both sides

Step-by-step explanation:

7x is a coefficient so you divide by 7

Answer:

Can I get brainliest please?

Step-by-step explanation:

Ok so, Let's solve your equation step-by-step.

5x−2(2x−1)=6

Step 1: Simplify both sides of the equation.

5x−2(2x−1)=6

5x+(−2)(2x)+(−2)(−1)=6(Distribute)

5x+−4x+2=6

(5x+−4x)+(2)=6(Combine Like Terms)

x+2=6

x+2=6

Step 2: Subtract 2 from both sides.

x+2−2=6−2

x=4

So, your answer would be:

x=4

Answer:

x=4

Step-by-step explanation:

5x-2(2x-1)=6

multiply 2 to the parathesis

5x-4x+2=6

collect like terms

x+2=6

subtract both sides by 2

x=4

Answer: Choice C

\(x < -2 \text{ or } x \ge 4\)

==========================================

Reason:

The portion on the left represents \(x < -2\) because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.

The portion on the right represents all values that are 4 or larger; hence \(x \ge 4\). Note the use of a closed circle at 4 to include this value.

We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.

Considering the definition of probability, the probability that the smoke will be detected by either a or b or both is 99%.

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The union of events AUB is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs.

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events A∩B is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

In first place, let's define the following events:

Then you know:

Considering the definition of union of eventes, the probability that the smoke will be detected by either a or b or both is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.95 + 0.98 -0.94

P(A∪B)= 0.99= 99%

Finally, the probability that the smoke will be detected by either a or b or both is 99%.

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Answer:

False

Step-by-step explanation:

Well it's True in a way, but they didn't simplify all the way. Correct simplification would be 1/3

Answer:

It is true

Step-by-step explanation:

As a proportion, they are equal, making it true.

a. The independent variable in this function is the amount of time a car is parked, measured in hours. The dependent variable is the cost of parking, measured in dollars.

b. "The cost of parking is a function of the amount of time a car is parked."

c. Here is a possible graph of the function:

           ^

           |

   $12     +--------/-----

           |      /      

           |    /        

           |  /          

   $3      o              

           |              

           |              

           |              

           +--------------->

                 Time

In this graph, the vertical axis represents the cost of parking in dollars, and the horizontal axis represents the amount of time a car is parked in hours. The graph shows a linear relationship between the two variables, with a slope of $3 per hour, up to a maximum cost of $12. This means that the cost of parking increases by $3 for each additional hour of parking, up to a maximum cost of $12.

This expression is false because it is not true for all x.

If x = 1, there is no real number y such that y2 = x and x < 0.

The true expressions are:

∀x∀y (xy = yx)

This expression is true because multiplication of real numbers is commutative, meaning that the order of the factors does not affect the product.

∀x∃y (xy > 0)

This expression is true because the product of two real numbers is positive if and only if both numbers have the same sign (both positive or both negative).

The false expressions are:

∀x ∀y (x2 ≠ y2 ∨ |x| = |y|)

This expression is false because it is possible for x and y to have different signs and magnitudes such that their squares are equal (e.g., x = 2 and y = -2).

In this case, |x| ≠ |y|, but x2 = y2.

∀x∃y (x < 0 ∨ y2 = x)

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The true expression from the given options for the domain of all real numbers is: ∀x∀y (xy = yx).

The expression ∀x∀y (xy = yx) represents the commutative property of multiplication, which states that for any real numbers x and y, the product of x and y is equal to the product of y and x. This property holds true for all real numbers since the order of multiplication does not affect the result.

The other options do not hold true for all real numbers:

- The expression ∀x ∀y (x^2 ≠ y^2 ∨ |x| = |y|) states that either the squares of x and y are not equal or their absolute values are equal. This is not true for all real numbers since there are cases where x^2 = y^2 and |x| ≠ |y|.

- The expression ∀x∃y (xy > 0) states that for every real number x, there exists a real number y such that their product is greater than zero. This is not true for all real numbers since there are cases where x is negative and there is no real number y that can make the product positive.

- The expression ∀x∃y (x < 0 ∨ y^2 = x) states that for every real number x, there exists a real number y such that either x is negative or the square of y is equal to x. This is not true for all real numbers since there are cases where x is positive and there is no real number y that satisfies the condition.

Therefore, the only true expression for the domain of all real numbers is ∀x∀y (xy = yx).

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The volume of given sphere is 3054 cm³

Given that a sphere with diameter of 18 cm we need to find its volume,

Volume of a sphere = 4/3 × π × radius³

So,

Volume = 4/3 × 3.14 × 9³

= 9156.24 / 3

= 3053.08

≈ 3054 cm³

Hence the volume of given sphere is 3054 cm³

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Answer:

x=54°

...

...

.....

....

Answer:25

Step-by-step explanation:

The formula for the distance between point (x_1,y_1) and (x_2,y_2) is,

Determine the distance between points (4,9) and (12,3) by using distance formula.

So distance between the two points is 10.