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Find the Z-scores that separate the middle 18% of the distribution from the area in the tails of the standard normal distribution.

The Z-scores are?
(Use a comma to separate answers as needed. Round to two decimal places as
needed.)

Answer:

Please find attached pdf

Step-by-step explanation:

Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

Answer:

C is the correct answer.

Answer:

Diagonals of a rhombus bisect each other perpendicularly(at 90°) :therefore

we have a triangle where in we have

\( x + 58 + 90 = 180 \\ \\ x = 180 - 58 - 90 \\ x = 32\)

As per the given rhombus ABCD in the figure, the value of x will be equal to 32°.

A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines. Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.

As per the given information in the question,

As we know that the diagonal of a rhombus bisects each other at 90°.

We also know that the sum of all sides of the triangle is 180°.

So, the equation will be,

x + 58° + 90° = 180°

x = 180 - 90 - 58

x = 32°

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12,480 es par y la suma de sus digitos da un multiplo de 3, por ello concluimos que es divisible por 6.

Para que un número sea divisible por 6 debe cumplir dos condiciones.

En este caso tenemos 12,480, que sabemos que es par.

La suma de sus digitos da:

1 + 2 + 4 + 8 + 0 = 15

15 es multiplo de 3.

Entonces este número cumple ambas condiciones, por lo que concluimos que 12,480 es divisible por 6.

Sí quieres aprender más sobre divisiones.

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Answer:

7. 123

8. 38

9. 68

10. 65

11. 113

12. 52

Step-by-step explanation:

Answer:

7) 123°

8) 38°

9) 68°

10) 65°

11) 113°

12) 52°

Answer:

believe it is "the median is 82."

Step-by-step explanation:

55,66,82,89,90,92

there are 6 numbers so in order to find the median here you would have to add 82 and 89 together and then divide by 2.

82+89=171

171/2=85.5

hence "the median is 82." is the right answer

Darling, the answer is 13.

To find range just subtract the lowest number from the highest number.

30-17=13

Hope this helps~ ^^

Answer: I believe it is the first bubble but it could also be the third one im sorry that is kinda confusing.

Answer:

Step-by-step explanation:

\((3x+5)+(x-25)=180 \text{ \ (angles on a straight line are supplementary)}\)

                 \(4x-20=180\)

                         \(4x=200\)         (+20 both sides)

                           \(x=50\)           (÷4 both sides)

The value of the determinants are

D=13

Dx =26

Dy =52

Dz =26

The determinant of a matrix is ​​a scalar value calculated for a given square matrix. Linear algebra deals with the determinant, it is calculated using the elements of a square matrix. It can be thought of as a scaling factor for the matrix transformation. Useful for solving a system of linear equations, calculating the inverse of a matrix, and numerical operations.

Given system is

x+ y-z= 4

3x+4y-3z=16

9x- 3y+4z=14

from the system the determinants become,

D=  1   1  -1

      3  4  -3

      9   -3  4

D= 1(16-9)-1(12+27)-1(-9-36)

   =7-39+45

   13

Dx=4   1  -1

      16  4  -3

      14   -3  4

   =26

Dy=1  4  -1

      3  16  -3

      9   14  4

   =52

Dz=1  1  4

      3  4  16

      9   -3  14

 =26

Hence, D=13, Dx=26, Dy=52, Dz=26

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Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Answer: 873

Step-by-step explanation:

The hundreds place is greater since it basically means 100

The ten place means 10

and the ones place means 1

So, if 8 is in the hundreds place it goes first, since 7 is in the tens place it goes second, and since 3 is in the ones it goes last. Which gives us 873!

Answer:-4 > -5

Step-by-step explanation:

Answer:

b -4 <-5

Step-by-step explanation:

The function is odd, and the graph would be shifted downward. option(2)

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units.

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units. Option(2)

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Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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Rebounds did Mark have is x = 21

The Option C is correct.

Mark and Gary had a basketball game Saturday.

and, Mark had three times as many rebounds as Gary.

Together they had 28 rebounds.

To find the how many rebounds did Mark have?

Now, According to the question:

Based on the given conditions:

Let x be the rebounds mark

Mark had three times rebounds as Gary

then, formulate ;

x × (1 + 3)÷ 3 = 28

Solve the equation:
[x × (1 + 3)] / 3 = 28

(x × 4) / 3 = 28

x = 28 × \(\frac{3}{4}\)

x = 21

Hence, Rebounds did Mark have is x = 21

The Option C is correct.

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Answer:

40x+24y-56=

8(5x+2y-7)

Step-by-step explanation:

Answer:

19.6 in²

Step-by-step explanation:

area of circle = π r²

= π (3 1/2)²

= π (5/2)²

= π 25/4

= 22/7 x 25/4

= 275/14

=19.6 in²

Answer: 768

Step-by-step explanation:

Just multiply 2 by the first term (3) until u get to the 9th term

So 1.. 3*2= 6

2.. 6*2=12

3.. 12*2= 24

& so forth

So the 9th term is 768

Answer:

True:

D.

E.

F

Step-by-step explanation:

First, you should know that the square of any odd number is also odd.

The easiest way to go about this is to plug in an odd number for n. Lets use 3:

Plug 3 into A:

\(3^{2} -1=9-1=8\)

Plug 3 into B:

\(3(3-1)=9-3 = 6\)

Plug 3 into C:

\((3-2)^{2} = 2^{2} = 4\)

Plug 3 into D:

\(3^{2} +2 = 9+2=11\)

Plug 3 into E:

\(3(3-2) = 9-6 = 3\)

Plug 3 into F:

\((3-2)^{2}=1^{2} =1\)

Answer:

It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10

Step-by-step explanation:

In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.

• Take the products of both functions.

f(x)g(x) = 3x²+5 • x-2

• Next, expand the functions. We expand by combining like terms.

= 3x^3 - 6x^2 + 5x - 10

Since the function cannot be simplified further, this leads to option B being our answer.

Hope this helps!

The centre and the radius of the circle is (-7, -1) and 6 units

The equation of the circle in standard from is expressed as:

x^2+y^2+2gx+2fy+C = 0

where;

(-g, -f) is the centre

r= √g²+f²-C

Given the equation below

x^2+y^2+14x+2y+14 = 0

2g = 14

g = 7

2f = 2

f =1

Hence the centre of the circle is (-7, -1)

Radius = √49+1-14

Radius = √36 = 6 units

Hence the centre and the radius of the circle is (-7, -1) and 6 units

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Answer:

Step-by-step explanation:

2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )

Answer:

(72 divided by 8) second one, 72 divided by (8 - 2),third one,  72 divided by (8 - 2) x (3 + 1). last one. then the leftover number is the first one.

Step-by-step explanation:

Answer:

○ C. \(\displaystyle 10\:in.\)

Explanation:

In an equilateral triangle, all angles and edges are congruent, so with that, you have your answer.

I am joyous to assist you at any time.

Answer:

A. Similar triangles

Step-by-step explanation:

Triangle ABC

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125°

x = 55°

They are similar due to the occurrence in angles

Answer:

30 miles

Step-by-step explanation:

2.5 h

12 miles per hour

12x2.5=30

The differnce in the volumes of the two cones is 15072 ft³.

Volume of a cone = 1/3(nr^2h)

Where:

n = pi

r = radius = diameter / 2

h = height

Volume of cone X = 3.14 x (20 /2)² x 16 = 5024 ft³

Volume of cone Y = 3.14 x (40 /2)² x 16 = 20,096 ft³

Difference in volumes = 20,096 - 5024 = 15072 ft³

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Python lines to get the output for the probability P(x<0.325) are -

a) import scipy.stats as

st print(st.norm.cdf(0.325, 0, 1))

Hence, option a is the correct answer.

The Python code -

        import scipy.stats as

        st print(st.norm.cdf(0.325, 0, 1))

This line of code imports the scipy.stats module as "st", and then uses the norm.cdf function to calculate the cumulative distribution function (CDF) of a normal distribution with mean 0 and standard deviation 1, evaluated at x=0.325.

The CDF gives the probability that a random variable from the normal distribution is less than or equal to a certain value, so this line of code is outputting the probability P(x<0.325).

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