Let's say a student scored 33 on a math achievement test for which scores are normally distributed with mean
43 and standard deviation 10.
What proportion of students finished worse than her?

Answer:

it is reflected in the x-axis so y=0

Answer:

Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].

Step-by-step explanation:

When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].

However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.

Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.

[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].

Integrate with respect to [tex]x[/tex]:

[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].

In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].

Answer:

Step-by-step explanation:

3x - 3y = -3

2x - 6y = 2

-6x + 6y = 6

2x - 6y = 2

-4x = 8

x = -2

-4 - 6y = 2

-6y = 6

y = -1

(-2, -1)

9514 1404 393

Answer:

  1, 2

Step-by-step explanation:

1. The area of a parallelogram is the product of length and width. The given statement is FALSE.

2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.

3. TRUE

4. TRUE

5. TRUE

__

Statements 1 and 2 are not true.

Answer:

Your answer is A

Step-by-step explanation:

I hope I helped :)

Answer:

t = 10

Step-by-step explanation:

15 = 1.5 × t

15/1.5 = t

10 = t

Answer:

[tex]c=2.25[/tex]

Step-by-step explanation:

[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]

Answer:

92/85

Step-by-step explanation:

Answer:

4*1/3

Step-by-step explanation:

easy we know for each 3/3 == 1

so:

3*4 == 12

1/3 is left over so,

4*1/3

Answer:

the answer is 4 1/3, i recommend using the app mathaway

Answer:

option 2

Step-by-step explanation:

x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.

Answer:

Option 2

Step-by-step explanation:

If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement  while option 4 would represent inequality "x ≥ 7".      

Answer:

15

Step-by-step explanation:

Answer:

C. 3.33 moles

Step-by-step explanation:

Ammonia decomposes

[tex]2NH_3\rightarrow N_2+3H_2[/tex]

We have to find the moles of hydrogen formed in 2.22 moles of ammonia.

From the reaction

2 moles of ammonia gives 3 moles of hydrogen

1 mole of ammonia  produce hydrogen=3/2 moles

2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles

Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia

=[tex]\frac{6.66}{2}=3.33[/tex]moles

Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.

Option C is true.

C. 3.33 moles

Answer:

5935 base balls

Step-by-step explanation:

Volume of a cylinder : pi * r² * h

r = Radius, h = height = 6ft

Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft

V = π * 2^2 * 6

V = 75.398223 ft³

Diameter of baseball = 2.8 inches

2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³

Hence,

75.398223 ft³ / 0.0127037ft³

= 5935.1370

= 5935 base balls

Answer:

Slope = (1/2)

Step-by-step explanation:

Rearrange the equation into the y = mx + b format.

-x + 2y = 5

2y = x + 5

y = (1/2)x + (5/2)

m represents slope, which is (1/2) in this question.

Answer:

I believe A?

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think that you want to know how many total pounds of beans do you have.

Well, to find this, simply find the LCM of 6 and 4. That is 12.

So convert the fractions to have a denominator of 12.

10/12, 9/12

Now add:

(10+9)/12 = 19/12 = 1 7/12

Answer:

D

Step-by-step explanation:

Since there are two types of values here: tokens and dollars, we will need to use the same value across numerators and denominators in the ratio.

Choice D has 11 tokens over $2 equals to t tokens over $16. In both fractions the numerator is tokens and denominator is dollars.

Answers:

B. y = 2x + 3

hope this helps

Answer:

https://geometryhelp.net/triangle-inequality-theorem/

Step-by-step explanation:

This is from that site. Visit it and you may find what you're looking for.

If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.

Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.

Answer:

identify the value that is intercepting y-axis !!

Step-by-step explanation:

in this case it is 1

Answer:

h = (A - 2πr²)/(2πr)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

A = 2πrh + 2πr²

Step 2: Solve for h

Answer:

B)7+n

Step-by-step explanation:

Answer:

A but see below.

Step-by-step explanation:

A is likely the best answer, although B is also correct. However you should write things in the other they are given.

n + 7 is the very best way to answer.

7 + n is not wrong but maybe not wanted.

Answer:

(x+1)(x-6)

thats the ans :)

Answer:

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

[tex]\frac{1}{4}(4x - 6) = 4x*\frac{1}{4} - 6*\frac{1}{4}\\\\[/tex]

              [tex]= x -3*\frac{1}{2}\\\\=x - \frac{3}{2}[/tex]

Answer:

A third degree binomial

Step-by-step explanation:

The highest power is 3 hence the 3rd degree

and there are 2 terms hence the bi-nomial

the answer is,

541.42%

I think this is the answer.

Answer:

The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

Step-by-step explanation:

Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:

X + X + 1.15 + X + 1.15 = 8.60

3X + 2.30 = 8.60

3X = 8.60 - 2.30

X = 6.30 / 3

X = 2.10

Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.