Using what you noticed, find the measures of the four angles at point B in this second diagram. Lines AC and DF are parallel.

Complete question :

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 66)

b. P(X < 23)

c. P(X = 66)

Answer:

P(X < 66) = 0.86

P(X < 23) = 0.61

P(X = 66) = 0

Step-by-step explanation:

Given that:

X, P(23 ≤ X ≤ 66) = 0.25 and

P(X > 66) = 0.14 ;

Recall:

P(x ≤ a) + p(x ≥ a) = 1

Then ; P(X < 0.66) = 1 - 0.14 = 0.86

Hence,

P(X < 0.66) = 0.86

P(23 ≤ X ≤ 66) = 0.25

P(X < 66) = 0.86

Hence,

P(X < 23) = 0.86 - 0.25 = 0.61

Probability that a continuous random variable is exactly equal to a particular number equals 0

Hence,

P(X = 66) = 0

9514 1404 393

Answer:

  -3/2 < x < 9/2

Step-by-step explanation:

You can divide the inequality by -2, then rewrite as a compound inequality:

  |2x -3| < 6

  -6 < 2x -3 < 6

Add 3 and divide by 2:

  -3 < 2x < 9

  -3/2 < x < 9/2

Answer:

set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range

Answer:

132

Step-by-step explanation:

Answer:

{-1, 0, 3, 4}.

Step-by-step explanation:

sorry if this is incorrect

Answer:

1) x = 3/2  2)  x = 6  3) x = 3

Step-by-step explanation:

For Number 1:

4(x+8)−4=34

Step 1: Simplify both sides of the equation.

4(x+8)−4=34

(4)(x)+(4)(8)+−4=34(Distribute)

4x+32+−4=34

(4x)+(32+−4)=34(Combine Like Terms)

4x+28=34

Step 2: Subtract 28 from both sides.

4x=6

Step 3: Divide both sides by 4.

4x/4 = 6/4

x = 3/2

For Number 2:

2/3(9+x)=−5(4−x)

Step 1: Simplify both sides of the equation.

6 + 2/3x = −20+5x

Step 2: Subtract 5x from both sides.

−13 /3 x+6=−20

Step 3: Subtract 6 from both sides.

-13/3x = -26

Step 4: Multiply both sides by 3/(-13)

x = 6

For Number 3:

−3(x+4)+15=6−4x

Step 1: Simplify both sides of the equation.

−3(x+4)+15=6−4x

(−3)(x)+(−3)(4)+15=6+−4x(Distribute)

−3x+−12+15=6+−4x

(−3x)+(−12+15)=−4x+6(Combine Like Terms)

−3x+3=−4x+6

−3x+3=−4x+6

Step 2: Add 4x to both sides.

−3x+3+4x=−4x+6+4x

x+3=6

Step 3: Subtract 3 from both sides.

x+3−3=6−3

x = 3

Answer:

30

Step-by-step explanation:

Answer:

M=[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

M=[tex]\frac{rise}{run}[/tex]

From left to right, the line goes down. Therefore, it is a negative slope.

[tex]-\frac{3}{4}[/tex]

Answer:

47.42

Step-by-step explanation:

Try solving this way

 23.85

+07.42

+16.16

=======

47.42

▪ Answer:

2^(-12)

▪ Step-by-step explanation:

Hi there!

1/64^2 =

= 1/(2^6)^2

= 1/2^12

= 2^(-12)

Good luck !

use

(a^b)^c = a^(b×c)

1/a^b = a^(-b)

Answer:

4

Step-by-step explanation:

Answer:

I'm not sure what the question is but an example question could be

"Take 5 away from 3."

For this you would go to three on the number line and then move left five gaps. You would land on -2

another example: "Add 4 to -3."

For this, you would go to -3 on the number line, and then move right 4 times. you would land on 1.

Answer:

4.5

Step-by-step explanation:

just move 1 1/2 steps to the left

Answer:9

Step-by-step explanation:

Answer:

Add 10 to three times  the value of x minus 7.

Step-by-step explanation:

Answer:

Three times the difference of X and seven plus ten

Step-by-step explanation:

Answer:

from least to greatest.= 6.7%, 0.67, 6/7

Answer: 6.7%, 0.67, 6/7

Step-by-step explanation:

6.7% is less than 0.67.

0.67 is less than 6/7.

So, the order is 6.7%, 0.67, and 6/7.

Answer:

0.25

Step-by-step explanation:

(76-74)/8

=2/8

=1/4

=0.25

Answer: Is C

-8x-104=6x-14

Step-by-step explanation: I got the question right

Answer: -8x - 104= 6x - 14

Step-by-step explanation:

-8(x+13) =2(x-7) + 4x

-8x - 104 = 2X - 14 + 4x

-8x - 104 = 6x - 14

Answer: c

Step-by-step explanation:

The correct statement is that g(x) is a function because f(x) is one-to-one.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

We know a function f(x) has its inverse g(x) if and only if f(x) is a one-to-one function.

From the given statements the only true statement is, g(x) is a function because f(x) is one-to-one.

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Answer:

Sorry dude, I need more context. Can you write out the full equation if there's more? Sorry.

Step-by-step explanation:

Answer: B. y-1=2(x-3)

Step-by-step explanation:

First subtract both sides by 2x so it becomes -y=-2x-1

Second divide both sides by -1 so it becomes y=2x+1

After that to get it in the form they want it subtract 1 from both sides so that it becomes y-1=2x

Answer:

C

Step-by-step explanation:

Multiplying by the reciprocal is the same as division.

Answer:

its actually (b) addition property of equality

Step-by-step explanation:

i got the answer correct on edmentum

9514 1404 393

Answer:

  (5.5, 4.5)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates.

  ((0, 0) +(11, 9))/2 = (11, 9)/2 = (5.5, 4.5) . . . midpoint

Complete Question

Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test

Answer:

The p-value is  [tex]p-value  = 0.0588[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of senior citizens is  p =  0.10  

   The sample size is  [tex]n  =  225[/tex]

   The  sample proportion is  [tex]\^{p} =  0.14[/tex]

   The test statistics is  [tex] z \approx =   1.89[/tex]

The null hypothesis  is  [tex]H_o  :  p = 0.10[/tex]

The alternative hypothesis is   [tex]H_a  :  p \ne 0.10[/tex]

   Generally the p-value is mathematically represented as

       [tex]p-value  =  2 *  P(Z > 1.89 )[/tex]

From the z-table  

       [tex]P(Z > 1.89 )  =   0.029379[/tex]

=>     [tex]p-value  =  2 *   0.029379[/tex]

=>     [tex]p-value  = 0.0588[/tex]

Answer:

No because 0.06>0.05

Step-by-step explanation:

kahn

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Step-by-step explanation:

Answer:

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Step-by-step explanation:

A third-order polynomial in standard form is a sum of monomials with natural exponentials such that greatest degree of monomials is 3. This kind of polynomials is described by this definition:

[tex]p_{3}(x) =\Sigma\limits_{i=0}^{3} c_{i} \cdot x^{i}[/tex] (Eq. 1)

Where:

[tex]i[/tex] - Index of a sum component, dimensionless.

[tex]c_{i}[/tex] - i-th coefficient, dimensionless.

Where the highest value of [tex]i[/tex] is the degree of the polynomial.

In addition, the Fundamental Theorem establishes that all polynomials with real coefficients and degree higher than zero have a number of complex roots, an extension of the real set, equivalent to the degree of the polynomial itself.

In our case, we guarantee the existence of three complex roots, of which we know two of them: [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex]. The polynomial can be represented as a product of three binomials:

[tex]p_{3}(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3})[/tex] (Eq. 2)

Where [tex]r_{1}[/tex], [tex]r_{2}[/tex] and [tex]r_{3}[/tex] are the roots of the third order polynomial.

If we know that  [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex] and assume that [tex]r_{3} = -i\,3[/tex], the resulting polynomial is:

[tex]p_{3} (x) = (x-6)\cdot (x+i\,3)\cdot (x-i\,3)[/tex]

And by Algebra of real numbers we obtain the polynomial in its standard form:

[tex]p_{3}(x) = (x-6)\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x\cdot (x^{2}+9)-6\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x^{3}+9\cdot x -6\cdot x^{2}-54[/tex]

[tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex]

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Answer:

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

5x/5 = -10/5

x = -2

The solution of expression is,

⇒ x = - 2

We have to given that;

The expression is,

⇒ 5x + 17 = 7

Now, We can simplify as;

⇒ 5x + 17 = 7

Subtract 17 both side,

⇒ 5x = 7 - 17

⇒ 5x =- 10

Divide by 5;

⇒ x  = - 10/5

⇒ x = - 2

Thus, The solution of expression is,

⇒ x = - 2

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Answer:

20-12=8

here it is the difference is 8.

Answer:

Step-by-step explanation:

Before I can answer this, please furthermore evaluate on what the acronyms MAD and IQR stand for, and I will update my answer. Thank you!

Answer:

1st table: Not a function

2nd table: Function

3rd table: Not a function

4th table: Function

Step-by-step explanation:

The functions pass the verticle line test

meaning, there is only one x value for any y value

Answer:

91/4 as a fraction, 22.75 as a decimal

Step-by-step explanation:

(-51/4) - (-71/2)

=

(-51/4) + (71/2)

=

(-51/4) + (142/4)

=

(-51+142/4)

=91/4

Your answer is 91/4. The decimal version is 22.75. Hope this helps :)