The scores of a high school entrance exam are approximately normally distributed with a given mean Mu = 82.4 and standard deviation Sigma = 3.3. What percentage of the scores are between 75.8 and 89?

Answer: Please refer to:

- A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects. ... Forces only exist as a result of an interaction.

- Force is a vector quantity, with both direction and magnitude. It is defined as Mass x Acceleration = Force.

   + The SI unit of force is the newton (N); defined as the unit of force which would give to a mass of one kilogram an acceleration of 1 meter per second squared.

-   two effects of force​:

  +  It can change the state of movement of the body on which force is applied, i.e. it can move a stationary object or stop a moving object.

  +  It can change the shape and size of an object.

Step-by-step explanation:

I'm not sure but hope it helps.

A model shows rays of sunlight that moves straight from the sun perpendicular to the surface of the earth are called angled ray.

In optics, a ray is an idealized geometrical model of light, obtained by choosing a curve that is perpendicular to the wavefronts of the actual light, and that points in the direction of energy flow.

An Angled ray can be described as a ray that is been formed when two rays are joined together at their starting point.

It should be noted that the ends of the rays extend infinitely, hence  A model shows rays of sunlight that moves straight from the sun perpendicular to the surface of the earth are called angled ray.

Therefore, a model shows rays of sunlight that move straight from the sun perpendicular to the surface of the earth are called angled ray

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The phrase that defines the part of speech a model shows rays of sunlight moving straight from the sun perpendicular to the surface of the Earth is the direct rays. The Option C.

Direct rays are the sunlight beams that travel straight from the sun and strike the Earth's surface at a right angle. These rays provide concentrated energy and warmth, and their intensity can vary depending on factors like the Earth's tilt and position in its orbit.

Therefore, the phrase that defines the part of speech a model shows rays of sunlight moving straight from the sun perpendicular to the surface of the Earth is the direct rays.

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Answer:

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

50 is the multiple of 10 that is closest to 47.

Answer:

8/3 > 19/8

Step-by-step explanation:

Get a common denominator

8/3 *8/8 = 64/24

19/8 *3/3 =57/24

Comparing the numerators

64>57

8/3 > 19/8

Answer:

The answer is "12".

Step-by-step explanation:

Lowest number[tex]=20\\\\[/tex]

highest number[tex]=80\\\\[/tex]

Number of classes[tex]=5\\\\[/tex]

Range=highest number-lowest number

          [tex]=80-20\\\\=60\\\\[/tex]

class width [tex]=\frac{Range}{\text{number of classes}}[/tex]

                   [tex]=\frac{60}{5}\\\\=12[/tex]

Answer:

Step-by-step explanation:For what values of does the equation (2 + 1) have two 2

+ 2 = 10 − 6

real and equal roots?

A quadratic equation that has 2 roots that are equal means that the discriminant  of the equation is 0. The value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]

Given that:

[tex](2k + 1)x^2 + 2x = 10x - 6[/tex]

Rewrite as:

[tex](2k + 1)x^2 + 2x - 10x + 6 = 0[/tex]

[tex](2k + 1)x^2 - 8x + 6 = 0[/tex]

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

By comparison:

[tex]a=2k+1\\ b =-8\\\ c =6[/tex]

If an equation has 2 real and equal roots, then:

[tex]b^2 = 4ac[/tex]

So, we have:

[tex](-8)^2 = 4 \times (2k + 1) \times 6[/tex]

[tex]64 = 4 \times (2k + 1) \times 6[/tex]

Divide by 4

[tex]16 = (2k + 1) \times 6[/tex]

Divide by 6

[tex]\frac{16}{6} = (2k + 1)[/tex]

[tex]\frac{8}{3} = 2k + 1[/tex]

Subtract 2 from both sides

[tex]2k = \frac{8}{3} -1[/tex]

Take LCM

[tex]2k = \frac{8-3}{3}[/tex]

[tex]2k = \frac{5}{3}[/tex]

Divide by 2

[tex]k = \frac{5}{6}[/tex]

Hence, the value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]

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Answer:

11 cosecx is right answer.........

Answer:

The exact answer is 12*√2, if you need approximately answer it is 12*1.4= 16.8

Step-by-step explanation:

√50 + √98​ ​= √(25*2)+√(49*2)= √25√2+√49*√2= 5√2+7*√2=12*√2

Answer:

258square inches

Step-by-step explanation:

[AREA OF SHADED PORTION=TOTAL AREA -AREA OF INNER REGION.]

342-84

=258

Answer:

x( x-4)(x+2)

Step-by-step explanation:

x^3-2x^2-8x

First factor out the greatest common factor x

x( x^2 -2x -8)

What 2 numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

x( x-4)(x+2)

Answer:

Base area=5*12=60

Height is 4

Perimeter or the base is 2*(12+5)=34

Surface area is 2B+Ph=120+136=256

Answer:

(a) 18

(b) 80

Step-by-step explanation:

(a) let y=kx

so, 24=16k

or, k=24/16 or, k=3/2

now, putting x=12

y=kx

or, y=(3/2)×12

or, y=3×12/2

or, y=36/2

or, y=18

(b) let P=k/z

so, 4=k/200

or, k=800

when P = 10

P=k/z

or, 10=800/z

or, z=800/10

or, z=80

Answer:

0.3 is the right answer.

Step-by-step explanation:

hope this helps

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)

m = [tex]\frac{6-(-2)}{1-(-3)}[/tex] = [tex]\frac{6+2}{1+3}[/tex] = [tex]\frac{8}{4}[/tex] = 2

9514 1404 393

Answer:

  is a polynomial

Step-by-step explanation:

The expression is a sum of products.

Each product involves a numerical value and a product of variables to positive integer powers.

These meet the requirements for an expression to be a polynomial, so ...

  the given expression is a polynomial

Answer:

Question cannot nicely

Based on the fact that you asked this three times and got the same answer three times, I suspect the interpretation made by the users that posted those answers was incorrect, and that you meant to ask about dividing in base 2.

We have

111001₂ = 1×2⁵ + 1×2⁴ + 1×2³ + 1×2⁰ = 57

1101₂ = 1×2³ + 1×2² + 1×2⁰ = 13

and 57/13 = (4×13 + 5)/13 = 4 + 5/13.

4 = 2² is already a power of 2, so we have

111001₂/1101₂ = 1×2² + 5/13

we just need to convert 5/13. To do this, we look for consecutive negative powers of 2 that 5/13 falls between, then expand 5/13 as the sum of the smaller power of 2 and some remainder term. For instance,

• 1/4 < 5/13 < 1/2, and

5/13 - 1/4 = (20 - 13)/52= 7/52

so that

5/13 = 1/4 + 7/52

or

5/13 = 1×2 ⁻² + 7/52

Then a partial conversion into base 2 gives us

111001₂/1101₂ = 1×2² + 1×2 ⁻² + 7/52

111001₂/1101₂ = 100.01₂ + 7/52

Continuing in this fashion, we find

• 1/8 < 7/52 < 1/4, and

7/52 = 1/8 + 1/104

==>   111001₂/1101₂ = 100.011₂ + 1/104

• 1/128 < 1/104 < 1/64, and

1/104 = 1/128 + 3/1664

==>   111001₂/1101₂ = 100.0110001₂ + 3/1664

• 1/1024 < 3/1664 < 1/512, and

3/1664 = 1/1024 + 11/13312

==>   111001₂/1101₂ = 100.0110001001₂ + 11/13312

• 1/2048 < 11/13312 < 1/1024, and

11/13312 = 1/2048 + 9/26624

==>   111001₂/1101₂ = 100.01100010011₂ + 9/26624

• 1/4096 < 9/26624 < 1/2048, and

9/26624 = 1/4096 + 5/53248

==>   111001₂/1101₂ = 100.011000100111₂ + 5/53248

and so on.

It turns out that this pattern repeats, so that

[tex]\displaystyle \frac{111001_2}{1101_2} = 100.\overline{011000100111}_2[/tex]

Answer:

-329

Step-by-step explanation:

1st term a1 = 3, common difference d = -4

84th term,

3+(84-1)(-4)

= -329

Answer:

a

Step-by-step explanation:

Lateral faces that are parallel is not a property of a regular pyramid. The correct option is A.

Any pyramid whose base is a regular polygon and whose lateral edges are all of the same lengths is said to be regular.

The properties of a regular pyramid are:-

Lateral faces that are congruent isosceles triangles. Lateral edges that are congruent and the volume of the pyramid is equal to one-third the product of the area of its base and its altitude.

Hence, option A is correct.

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Answer:

7^5=16,807 and 4^5=1,024

Answer:

The weight of pail is 50g

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

8,15,22,29

Step-by-step explanation:

the interger a is 7,so to find the next term you have to add 7 plus the 8,

8+7=15

15+7=22

22+7=29

8,15,22,29

I hope this helps

Step-by-step explanation:

there it is! hopefully it's visible and understandable

:)

Answer:

hope. It helps. What. I Understood

[tex]\boxed{\sf a_n=\dfrac{(-1)^n}{5n}}[/tex]

a:-

[tex]\\ \sf\longmapsto a_1=\dfrac{(-1)^1}{5(1)}[/tex]

[tex]\\ \sf\longmapsto a_1=\dfrac{-1}{5}[/tex]

[tex]\\ \sf\longmapsto a_1=-5[/tex]

b:-

[tex]\\ \sf\longmapsto a_4=\dfrac{(-1)^4}{5(4)}[/tex]

[tex]\\ \sf\longmapsto a_4=\dfrac{1}{20}[/tex]

c:-

[tex]\\ \sf\longmapsto a_{30}=\dfrac{(-1)^{30}}{5(30)}[/tex]

[tex]\\ \sf\longmapsto a_{30}=\dfrac{1}{150}[/tex]

d:-

[tex]\\ \sf\longmapsto a_{19}=\dfrac{(-1)^{19}}{5(19)}[/tex]

[tex]\\ \sf\longmapsto a_{19}=\dfrac{-1}{95}[/tex]

f(x) = 2/cos 2x

f(x) = 2/sin1x

f(x)=1/cos1/sin3

{x∣x ≠ π/4+πn/2} , for any integer n

Must click thanks and mark brainliest

Answer:

-1 <x < 7

(-1,7)

Step-by-step explanation:

open circle on the left means the number is greater than

-1 <x

Open circle on the right means the number is less than

x < 7

Since both statements are true. we combine them

-1 <x < 7

open circles means parentheses, closed circles mean brackets

2 and 3 are the common factor of 24 and 60