Find the distance between the two points
(-2,-9) and (3,3).

The probability that a player will get an extra turn is 1/2 or 50%.

There are four possible outcomes when a player spins the spinner: 1, 2, 3, or 4. The probability of spinning a one or a three is 2/4 or 1/2, since there are two favorable outcomes out of four equally likely outcomes.

If a player spins a one or a three, they get an extra turn, which gives them another chance to spin the spinner. Since the probability of spinning a one or a three is 1/2, the probability of getting an extra turn is also 1/2.

Therefore, the probability that a player will get an extra turn is 1/2 or 50%.

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Answer:

50

Step-by-step explanation:

By the triangle midsegment theorem, 2(VX)=YZ.

This means that 2(t-25)=t, and thus t=50.

Answer:

Look at the explanation.

Step-by-step explanation:

To determine the number of significant discriminant functions and their relative discriminating power in a dataset, a discriminant analysis needs to be performed. Discriminant analysis is a statistical technique used to classify objects or individuals into different groups based on a set of predictor variables.

The number of significant discriminant functions is equal to the number of distinct groups or classes in the dataset minus one. Each discriminant function represents a linear combination of the predictor variables that maximally separates the groups or classes.

The relative discriminating power of each discriminant function can be assessed by examining the Wilks' lambda value or the eigenvalues associated with each function. Wilks' lambda represents the proportion of total variance unexplained by each discriminant function. Smaller values of Wilks' lambda indicate higher discriminating power.

To determine the exact number of significant discriminant functions and their relative discriminating power in a specific dataset, the discriminant analysis needs to be performed using statistical software or tools specifically designed for this analysis.

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Answer: 4 ten-point questions and 15 four-point questions

Step-by-step explanation:

We will set up a system of equations to help us solve this question. Let x be ten-point questions and y be four-point questions.

         A test has 19 questions;

                   x + y = 19

         ... worth a total 100 points;

                   10x + 4y = 100

Now, we will solve by graphing. See attached. The point of intersection is our solution, where the lines cross each other.

         (4, 15), 4 ten-point questions and 15 four-point questions.

Answer:

option C

Step-by-step explanation:

2, 4, 6

i don't know whether it is correct or not...

Step-by-step explanation:

To write an exponential function in the form y=ab^x that goes through points (0,8) and (3,8000), we need to find the values of a and b.

First, we can use the point (0,8) to find the value of a:

y = ab^x

8 = ab^0

8 = a

Next, we can use the point (3,8000) to find the value of b:

y = ab^x

8000 = 8b^3

b^3 = 1000

b = 10

Now that we have found the values of a and b, we can write the exponential function:

y = ab^x

y = 8(10)^x

Therefore, the exponential function in the form y=ab^x that goes through points (0,8) and (3,8000) is y = 8(10)^x.

The first five terms in the sequence: 1, 1, 2, 3, 5 (Fibonacci sequence) The sequence F=1, F₂=1, F=F₁+F will look like 1,1+1=2,1+2=3, 2+3=5,3+5=8. P₁ is true.

Statement P is given as 5+9+13+17+. . . +(4n+1)=n(2n+3)Step 1:For n=1,5+9=14 and 1(2(1)+3)=5Hence, P is true for n=1.Step 2:Suppose, for n=k, P is true. So, 5+9+13+…+(4k+1)=k(2k+3) We need to show P is true for n=k+1.Step 3:When n=k+1,5+9+13+…+(4k+1)+(4(k+1)+1)=(k+1)(2(k+1)+3)RHS= (k+1)(2k+5)k(2k+3)+8(k+1)=5k+3+8k+8=13k+11LHS= 5+9+13+…+(4k+1)+(4(k+1)+1)=k(2k+3)+(4(k+1)+1)=2k²+7k+5=13k+11

Therefore, P₁ is true. Step 4:By the principle of mathematical induction, the statement P is true for all natural numbers.10.

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The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

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Answer:

27/8

Step-by-step explanation:

To find the third power of the expression, we multiply it by itself 3 times

3/2 * 3/2 * 3/2 = 27/8

\( ( \frac{3}{2})^{3} \\ = \frac{ {3}^{3} }{ {2}^{3} } \\ = \frac{3 \times 3 \times 3}{2 \times 2 \times 2} \\ = \frac{27}{8} \)

\( \frac{27}{8} \)

ray4918 here...

Answer:

\(\boxed {\tt True}\)

Step-by-step explanation:

This is true. Whenever you divide or multiply an inequality by a negative number, you must flip the inequality sign.

Here is an example:

\(-9x>27\)

We have to divide both sides of the inequality by -9. Since it is a negative number, flip the inequality sign.

\(\frac{-9x}{-9} <\frac{27}{-9}\)

\(x<\frac{27}{-9}\)

\(x<-3\)

So, it is true that you must flip the inequality sign when multiplying or dividing by a negative number.

Answer:

true

Step-by-step explanation:

yes true

..............

answer:

3x^3=4x

step-by-step explanation:

hope that helps!

Answer:

B

Step-by-step explanation:

Using the sine ratio in the right triangle

sin17° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{AC}{42}\) ( multiply both sides by 42 )

42 × sin17° = AC then

AC ≈ 12.28 ( to 2 dec.places ) → B

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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The equation of this parabola in vertex form is y = ( -1/2) x² - 0.5

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We are given that Focus (0,-1), Directrix is the line y=0

so, we have a vertical parabola open downward

Remember that the distance from the vertex to the directrix must be the same that the distance from the vertex to the focus

This means that the vertex is the point (0,-0.5)

The midpoint between the focus and the directrix

Find out the value of p (focal distance)

p=0.5

The equation of the parabola is given by

y =( -1/2) x² - 0.5

The vertex is (0,-0.5)

The value of p=0.5

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Answer:

-4 is the answer

Answer:

-4

Step-by-step explanation:

8+(-12)

+ x - = -

8-12

-4

Answer:

A≈314.16

Step-by-step explanation:

Add the numbers

It can be deduced that the addition of 5 and (-5) will be;

= 5+(-5)

= 0

It can be deduced that the addition of −15 and −13 will be;

=-15-13

=-28

It can be deduced that the addition of 25 and 40 will be;

=25+40

=65

Subtract the numbers

It can be deduced that the subtraction  of  2 and  4 will be;

=2-4

=2

Divide the numbers

It can be deduced that the division  of  ÷2 and ( 4 ) will be;

=÷2  ( 4 )

=-8

By solving the above equations we get,

The answer to the given equation is

-12990

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Answer: 40

Step-by-step explanation: k12 unit test

Answer:

f(-1) means value of f when x = -1

From the above table we can say when x =-1

value of f i.e f(-1) = 2

f(x) =2

when x =0, -2

The given problem is a 0-1 integer programming problem, which involves finding the maximum value of a linear objective function subject to a set of linear constraints, with the additional requirement that the decision variables must take binary values (0 or 1).

To solve this problem by implicit enumeration, we systematically evaluate all possible combinations of values for the decision variables and check if they satisfy the constraints. The objective function is then evaluated for each feasible solution, and the maximum value is determined.

In this case, there are three decision variables: x1, x2, and x3. Each variable can take a value of either 0 or 1. We need to evaluate the objective function 2x1 - x2 - x3 for each feasible solution that satisfies the given constraints.

By systematically evaluating all possible combinations, checking the feasibility of each solution, and calculating the objective function, we can determine the solution that maximizes the objective function value.

The explanation of the solution process, including the enumeration of feasible solutions and the calculation of the objective function, can be done using a table or a step-by-step analysis of each combination.

This process would involve substituting the values of the decision variables into the constraints and evaluating the objective function. The maximum value obtained from the feasible solutions will be the optimal solution to the problem.

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Answer:

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

2^2-1^2=c^2

c^2=3

c=\(\sqrt{3}\)

espero que esto te ayude, pero no se si esta correcto lo siento

Answer:

6

Step-by-step explanation:

To solve this problem, you are supposed to take the GCF of 60 and 42.

Factors of 42: 1,2,3,6,7,14,21

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30

The common numbers are: 1,2,3,6

The greatest common factor is 6.

So, the greatest number of boxes she can make are 6

The pooled mean standard error is a measure of the variability associated with the difference between two group means in a statistical hypothesis test with equal variances.

The pooled mean standard error is a measure of the variability or uncertainty associated with the difference between two group means in a statistical hypothesis test, where the two groups have equal variances. Specifically, it is the standard error of the difference between the means of two independent samples, calculated by combining the standard errors of the two sample means into a single estimate.

The formula for the pooled mean standard error is:

SEp = \(\sqrt{ [ (s1^2/n1) + (s2^2/n2) ]}\)

where SEp is the pooled mean standard error, s1 and s2 are the standard deviations of the two samples, n1 and n2 are the sample sizes, and sqrt represents the square root function.

The pooled mean standard error is used in the calculation of the t-statistic in a two-sample t-test, which is used to test the hypothesis that there is a significant difference between the means of the two groups. By accounting for the variability of both groups, the pooled mean standard error provides a more accurate estimate of the standard error of the difference between the means, which in turn allows for more precise hypothesis testing.

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Answer:

0.44?????/

Step-by-step explanation:

big brain

Answer:

Step-by-step explanation:

See image

Answer:

D

Step-by-step explanation:

the square root is between 14.1 and 14.2.

Answer:

Between 14.1 and 14.2

Step-by-step explanation:

D