Question 14 of 28 (1 point) Attempt 2 of Unlimited Find the value to the right of the mean so that 66.64% of the area under the distribution curve lies to the left of it. Use The Standard Normal Distribution Table and enter the answer to 2 decimal places. alb

Answer:

Akira Haraguchi.

Step-by-step explanation:

Akira Haraguchi, who in 2006 recited 100,000 digits of pi from memory at a public event near Tokyo.

Answer:

A. 28.1 cm^2

Step-by-step explanation:

a = bh

a = (7.6)(3.7)

a = 28.12 cm^2

a = 28.1 cm^2

for the sake of readability, let's change "a" to "z", so for what values of "z" there's only one rational root?

well, we can look at the discriminant of a quadratic, and if the discriminant spits out a 0, or equals 0, then we have only one rational root, so let's reword that.

what values of "z", make the equation 0?

\((2z-5)x^2-2(z-1)x+3=0\implies (2z-5)x^2-(2z-2)x+3=0 \\\\\\ (2a-5)x^2+(2-2z)x+3=0 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{(2z-5)}x^2\stackrel{\stackrel{b}{\downarrow }}{+(2-2z)}x\stackrel{\stackrel{c}{\downarrow }}{+3} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\[-0.35em] ~\dotfill\)

\((2-2z)^2~~ - ~~4(2z-5)(3)~~ = ~~0\implies (4-8z+4z^2)-(8z-20)(3)=0 \\\\\\ (4-8z+4z^2)-(24z-60)=0\implies 4z^2-32z+64=0 \\\\\\ 4(z^2-8z+16)=0\implies z^2-8z+16=0 \\\\\\ (z-4)(z-4)=0\implies \boxed{z=4}\)

Answer:

50 because 10x5 is 50 and 10

This in the desired form:

x = xh + xp

where

xh = -(1/2)y1 + z1

and

xp = -(3/2)z

To find the general solution of the system of linear equations represented by the given augmented matrix, we first need to write the corresponding system of equations. Let's call the variables x, y, and z:

x+y+z=0

y+2z=0

-x+2y=0

-y-z=0

2x+4z=0

We can simplify this system by solving for x, y, and z in terms of one of these variables. Let's solve for z:

z=-y/2

Substituting this into the first equation, we get:

x + y - y/2 = 0

or, x + (1/2)y = 0

Solving for x in terms of y, we get:

x = -(1/2)y

So the general solution of the associated homogeneous equations is:

x = -(1/2)y + y1

z = -(1/2)y + z1

y1 and z1 are arbitrary constants.

Now let's find a particular solution of the nonhomogeneous equations using row reduction. We'll represent the augmented matrix with the original coefficients and the constants as follows:

⎡⎣⎢⎢⎢⎢00112−102−11−10−10124⎤⎦⎥⎥⎥⎥

Using row operations, we can transform this matrix to reduced row echelon form:

⎡⎣⎢⎢⎢⎢100−12−111000⎤⎦⎥⎥⎥⎥

The last row corresponds to the equation 0x+0y+0z=0, which is redundant and doesn't provide any additional information.

The reduced row echelon form indicates that z is a free variable, and that x and y can be expressed in terms of z as follows:

x = (1/2)y - z

y = 2z

So a particular solution to the original system of equations is:

x = -(1/2)(2z) - z = -3/2z

y = 2z

z = z

Therefore, the general solution to the nonhomogeneous system of equations is:

x = -(1/2)y - (3/2)z

y = 2z

z = z

Expressing this in the desired form:

x = xh + xp

where

xh = -(1/2)y1 + z1

and

xp = -(3/2)z

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Angled E and G are congruent because they are vertical angles

PLEASE MARK BRAINLIEST

Answer:

congruent and vertical

I TOOK THE TEST AND GOT A 100

Answer:

-6,0,15

Step-by-step explanation:

If x=-2 then g(-2)=3(-2) would be equal to -6

If x=0 then g(0)=3(0) would be equal to 0

If x=5 then g(5)=3(5) would be equal to 15

The radius of the circle is approximately 5.3 inches.

The area (A) of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. Rearranging the formula, we have r = √(A/π).

Given that the area of the circle is 88 square inches, we can substitute this value into the formula to find the radius. Plugging in the values, we get r = √(88/π). Using the approximation of π as 3.14, we can evaluate this expression to find that the radius is approximately 5.3 inches when rounded to the nearest tenth.

To explain further, the formula A = πr^2 represents the relationship between the area and the radius of a circle. By solving for the radius, we can determine the length of the radius when the area is known. In this case, with an area of 88 square inches, we substitute this value into the formula and simplify to find the radius. The square root is taken to undo the squaring operation in the formula. Rounding to the nearest tenth ensures that we provide a value with one decimal place, as the radius is typically expressed in decimal form rather than exact values. Therefore, the radius of the circle is approximately 5.3 inches.

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The completely simplified form of csc(z) cot(z) + tan(z) is 1 / sin²(z) + sin(z) Using the fundamental identities.

Given,

csc(z) cot(z) + tan(z)

We know that:

cot(z) = cos(z) / sin(z) csc(z)

= 1 / sin(z) tan(z)

= sin(z) / cos(z)

Now, csc(z) cot(z) + tan(z)

= 1 / sin(z) × cos(z) / sin(z) + sin(z) / cos(z)

= cos(z) / sin²(z) + sin(z) / cos(z)

The LCM of sin²(z) and cos(z) is sin²(z)cos(z).

Hence, cos(z) / sin²(z) + sin(z) / cos(z)

= cos²(z) / sin²(z) × cos(z) / cos(z) + sin³(z) / sin²(z) × sin²(z) / cos(z)

= cos²(z) / sin²(z) + sin(z) = 1 / sin²(z) + sin(z)

The completely simplified form of csc(z) cot(z) + tan(z) is 1 / sin²(z) + sin(z).

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Answer:

25

Step-by-step explanation:

because you have to divide by 15's

Answer:

9 inches.

Step-by-step explanation:

To find out what d (distance) is, make a proportion of the values you know and d. This would be 15/67.5 = 2/d.

¹⁵/₆₇.₅ = 2/d

Variable d cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by d.

d * (¹⁵/₆₇.₅) = 2

Expand 15/67.5   by multiplying both numerator and the denominator by 10.

d * (¹⁵⁰/₆₇₅) = 2

Reduce the fraction ¹⁵⁰/₆₇₅  to lowest terms by extracting and canceling out 75.

d * (²/₉) = 2

Multiply both sides by ⁹/₂, the reciprocal of ²/₉.

d = (2 * 9)/2

Cancel out 2 and 2.

d = 9

The distance between the SLMS from the tide pools on the map is 9 inches.

Answer:

2,A because it's a line with a specified direction

Answer:

A is the correct answer

Step-by-step explanation:

Thats your answer

Answer:

he domain is all real numbers, and the range is all integers that are multiples of 3.

The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.

The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.

On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.

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Answer:

1. x=6

2. x = -4

3. x³ = 0

Step-by-step explanation:

Step 1: Equation at the end of step 1

((x⁵) - ( 2 · (x⁴)))-(2³· 3x³) = 0

Step 2:

Equation at the end of step 2:

((x⁵)-2x⁴)-(2³ · 3x³) = 0

Step 3: X

Step 4: Pulling out like terms

Pull out like factors :

x⁵ - 2x⁴ -24x³ = x³· (x² - 2x -24)

Trying to factor by splitting the middle term

Factoring  x² -2x - 24

The first term is, x² ts coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -2 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  4

 x2 - 6x + 4x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-6)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x-6)

            Which is the desired factorization

Equation at the end of step

4

:

 x3 • (x + 4) • (x - 6)  = 0  

STEP

5

:

Theory - Roots of a product

5.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

5.2      Solve  :    x3 = 0  

 Solution is  x3 = 0

Solving a Single Variable Equation:

5.3      Solve  :    x+4 = 0  

Subtract  4  from both sides of the equation :  

                     x = -4

Solving a Single Variable Equation:

5.4      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

Supplement : Solving Quadratic Equation Directly

Solving    x2-2x-24  = 0   directly  

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

6.1      Find the Vertex of   y = x2-2x-24

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   1.0000  

Plugging into the parabola formula   1.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 24.0

or   y = -25.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-2x-24

Axis of Symmetry (dashed)  {x}={ 1.00}  

Vertex at  {x,y} = { 1.00,-25.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-4.00, 0.00}  

Root 2 at  {x,y} = { 6.00, 0.00}  

Solve Quadratic Equation by Completing The Square

6.2     Solving   x2-2x-24 = 0 by Completing The Square .

Add  24  to both side of the equation :

  x2-2x = 24

Now the clever bit: Take the coefficient of  x , which is  2 , divide by two, giving  1 , and finally square it giving  1  

Add  1  to both sides of the equation :

 On the right hand side we have :

  24  +  1    or,  (24/1)+(1/1)  

 The common denominator of the two fractions is  1   Adding  (24/1)+(1/1)  gives  25/1  

 So adding to both sides we finally get :

  x2-2x+1 = 25

Adding  1  has completed the left hand side into a perfect square :

  x2-2x+1  =

  (x-1) • (x-1)  =

 (x-1)2

Things which are equal to the same thing are also equal to one another. Since

  x2-2x+1 = 25 and

  x2-2x+1 = (x-1)2

then, according to the law of transitivity,

  (x-1)2 = 25

We'll refer to this Equation as  Eq. #6.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-1)2   is

  (x-1)2/2 =

 (x-1)1 =

  x-1

Now, applying the Square Root Principle to  Eq. #6.2.1  we get:

  x-1 = √ 25

Add  1  to both sides to obtain:

  x = 1 + √ 25

Three solutions were found :

x = 6

x = -4

x3 = 0

Answer:

if younger one weighs 1 ton, then older one is heavier

Step-by-step explanation:

1 ton = 2000lbs

Answer:

Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.

Answer:

(0,-6), (2,0), and (1,-3)

Step-by-step explanation:

We are given the equation of the line, and are then asked to find points on that line that correspond to values of x and y (x,y).  We can either graph the line and look for the points, or we can solve the equation using the given value of x or y, to find the other value of y or x.  Let's do both.

Graph

See the attached graph.  The line is drawn and then the three points are located using the provided value of x or y.  

We find:

    (0,-6)

    (2,0), and

    (1,-3)

Solve

Fun, but we could also put the one given value in the equation and then solve for the other:

y = 3x - 6

----------

1.  (0,__)

y = 3x - 6

y = 3*(0) - 6

y = -6

The point is (0,-6)

2.  (__,0)

y = 3x - 6

0 = 3x - 6

-3x = -5

x = 2

The point is (2,0).

3.  (1,__)

y = 3x - 6

y=3*(1)-6

y= -3

The point is (1,-3)

Answer:

9.3

Step-by-step explanation:

a^2 + b^2 = c^2

hypotenuse is always C, and the other legs are A or B. just replace the letters with the numbers given

A^2 + (13)^2 = 16^2

a^2 + 169 = 256

a ^2 = 256-169

now take square root of both sides

✓87 = 9.3

A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

C.  The sampling distribution of p is approximately normal.

D. We find that the probability is 0.0912 or about 9.12%.

E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:

Sample size (n) = 100

Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.

d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.

e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.

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Answer: Let X be the amount of money Helen had to start with.

After spending one half of her money on ice cream, she had X - X/2 = X/2 left.

After spending three eighths of her remaining money on soda, she had X/2 - 3X/8 = 5X/8 left.

Since she had $7 left, we have:

5X/8 = 7

X = 56

So, Helen had $56 to start with.

Step-by-step explanation:

Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

The average rate of change is given by:

For p(x):

For m(x):

For q(x):

For n(x):

Therefore, the function which has an average rate of change of -4 over the interval [-2,2] is p(x).

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48

Answer:

$1.44

Step-by-step explanation:

9kg costs $12.96

1kg costs ($12.96*1kg)÷9kg

=$1.44

Answer:

-123

Step-by-step explanation:

13(-x+4)-6 when .x is 13

we just replace x with 13

13(-13+4)-6

13(-9)-6

applying bodmas we multiply 13 by negative 9 before the subtraction aspect

13*-9=-117

-117-6=-123

All the batter would fit into the pan as it has more volume than half a gallon.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know, One gallon is equal to 231 cubic inches.

Therefore, Half a gallon is equal to 231/2 cubic inches.

The volume of the pan is (9×4×4) cubic inches.

= 144 cubic inches.

Now, 144 > 231/2, so it would fit.

Q. Anita is baking pumpkin bread and has a half gallon of batter. She plans to pour the batter into a glass pan with a length of 9 inches, a width of 4 inches, and a depth of four. Determine if all the batter will fit in the pan.

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

Step-by-step explanation:

x = 8  ; y = 5/3

\(3z = \dfrac{5}{3}\)

\(\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10\)