In a normal bell shaped curve, approximately which percentage of scores fall within 3 standard deviation (-3 to +3) or blank (34%,68%,95%,99%) of all scores

Answer:

Step-by-step explanation:

To solve for x, we need to simplify and rearrange the equation:

7x - 6 = 2x - 3

Subtracting 2x from both sides, we get:

5x - 6 = -3

Adding 6 to both sides, we get:

5x = 3

Dividing both sides by 5, we get:

x = 3/5

Therefore, the solution for x is x = 3/5.

The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%

The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

x' = 51

μ = 47

σ = 4

Thus;

z = (51 - 47)/4

z = 1

From empirical formula at 1 standard deviation above the means, the probability is 68%.

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There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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11 00 11 00 = 204

nice :)

Answer:

Left graph.

Domain: all real numbers.

Range: y ≤ 4

Middle graph.

Domain: all real numbers

Range: y ≥ 3

Right graph.

Domain: x ≥ -2

Range: y ≥ -3

Answer:

1.  Domain:  (-∞, ∞)     Range:  (-∞, 4]

2.  Domain:  (-∞, ∞)     Range:  [3, ∞)

3.  Domain:  [-2, ∞)     Range:  [-3, ∞)

Step-by-step explanation:

Definitions

Note:  Assume that each square on the given graphs is 1 unit.

As there are arrows at both endpoints of the curve, the domain of the function is unrestricted.

The curve has a maximum point at (2, 4) and continues indefinitely towards negative infinity at both endpoints.

Therefore, the range of the function is restricted.

As there are arrows at both endpoints of the function, the domain is unrestricted.

The function has a minimum point at y = 3.

When x > -2, the line continues indefinitely at y = 3.

When x < -2, the line continues indefinitely towards infinity.

Therefore, the range of the function is restricted.

The domain of the function is restricted since there is a closed circle at one endpoint: (-2, -3).  When x > -2, the line continues indefinitely towards infinity.

The function has a minimum point at (-2, -3). As x continues towards infinity, so does y.

Therefore, the range of the function is restricted.

Answer:

 google

Step-by-step explain

Google is key

Answer:

\( - 7.375\)

Step-by-step explanation:

43/4=10.75

21/8=2.625

6-10.75= -4.75

-4.75-2.625= -7.375

Answer:

-1/2x + 4.5

Step-by-step explanation:

Find out the slope by substituting the values in the formulas.

y2 - y1 / x2 - x1      6 - 2 / -3 - 5

-1/2

Now find the y-intercept.

y = mx + b

6 = -1/2 (-3) + b

6 = 3/2 + b

9/2 = b

Answer:

1) scewed left

2) 60-70

3) 5

Step-by-step explanation:

i took the test on edmentum and got it correct

From the histogram graph, it is clear that the graph is skewed left. Anabelle's score should be added to 60 - 70. 5 students scored below 70 on that day.

''A histogram is a graphical representation that organizes a group of data points into user-specified ranges. Similar in appearance to a bar graph, the histogram condenses a data series into an easily interpreted visual by taking many data points and grouping them into logical ranges or bins.''

Given, a histogram that shows the test score results of Ms. Garrison's Algebra class.

1. Data in the histogram is skewed left as the graph is pretty higher on the right hand side and deeper on the left hand side.

2. Anabelle was absent on the day of the test but appeared on the next week. She scored 60.  It will be added in the column of 60 - 70.

3. The students who scored less than 70 on that day of exam is = (3 + 2) = 5.

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

Question 1: 29

Question 2: 50

Question 3: AD≅BC

Step-by-step explanation:

question 1: Since it's a parallelogram opposite sides are equal.

4x+5=5x-1   add one to both sides

4x+6 =5x subtract 4x from both sides

6 = x

So AD is equal to 5(6) - 1 = 30-1 =  29=AD

Question 2: Since diagonals in a parallelogram bisect each other AE = EC

So...

5x+5 = 8x- 7 add 7 to both sides

5x+12 = 8x subtract 5x from both sides

12=3x divide both sides by 3

4=x

AC= 5(4) + 5 + 8(4) - 7

AC= 20 + 5 + 32 - 7

AC= 50

Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.

By using the elimination method you get the answer  line AD ≅ line BC

Answer:

Step-by-step explanation:

C

42 = 7*6

so,

7:9 = 7*6 : 9*6 = 42:54

Answer:

y = -6x + 8

Step-by-step explanation:

\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}

I don't know why it came out like this

Answer:

a) 2002 different groups of 5 problems can be chosen from the 14 problems.

b) P=0.04995%

c) 21 different groups of 5.

P=1.04895%

Step-by-step explanation:

a)

In order to solve this problem we must ask ourselves: Does the order matter? We can see that in this case the order in which the problems are chosen doesn't really matter, so we are talking about a combination:

\(_{n}C_{r}=\frac{n!}{r!(n-r)!}\)

in this case, n=14 while r=5, so our combination will be:

\(_{14}C_{5}=\frac{14!}{5!(14-5)!}\)

which yields:

\(_{14}C_{5}=2002\) which will be the answer for part a.

b)

In order to find the probability we can use the probability formula:

\(Probability=\frac{desired \hspace{5}outcome}{number\hspace{5} of \hspace{5} possible \hspace{5} outcomes}\)

so in this case there is only 1 desired outcome out of the 2002 possible outcomes so our probability is:

\(P=\frac{1}{2002}\)

which is the same as:

P=0.04995%

c) The same applies to part c. In order to find the number of groups Silvia did, we can make us of the combination formula:

\(_{7}C_{5}=\frac{7!}{5!(7-5)!}\)

which yields:

\(_{14}C_{5}=21\)

so there are 21 different groups of 5 she did by solving 7 problems.

So we can use the same formula to find the probability that one of the groups she completed comprised the group selected to be graded so we get:

\(P=\frac{21}{2002}=\frac{3}{286}\)

which is the same as:

P=1.04895%

(remember that in order to turn a decimal number into a percentage you need to multiply the decimal number by 100)

Answer:

Additive inverse of (5-6) is (6-5),

------------------------------

So:

(5-6)+(6-5)=0

5-6+6-5=0

5-6=-6+5

-------------------------

Left <--- -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6 ---> Right

Move 5 places to the right of -6 and you should land on -1.

Answer:

increases by 30

Step-by-step explanation: its right

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

Sum of all the sides.

Step-by-step explanation:

Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.

Therefore the sum total of the given sides V, W, x ,Y, Z are;

15 +20 + 25 + 7 + 22 = 89cm

Since a picture isn't available to know which sides of the objects can be added.

Answer:

49.45mph

Step-by-step explanation

3 hours 28 min needs to be changed to decimal form so to do that we take 28/60 to get .466 so the new time for the second part of the trip is 3.466 hours.

from their you can add the distances of each part of the trip and divide that by the total time to get your average speed of 49.45mph

((rate1 x time1) + (rate2 x time2)) / (time1 + time2)

((37 x 2.1) + (57 x 3.466)) / (2.1 + 3.466)

(77.7 + 197.562)/ (5.566)

49.45mph

If we divide Rs 21000 as Rs 7000 and Rs 14000, Nisha gets double that Nishan. ​

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Assuming, Nishan gets Rs x, Hence Nisha gets 2×x = Rs 2x.

Therefore, An equation representing the context is,

x + 2x = 21000.

3x = 21000.

x = 7000.

So, Nishan gets Rs 7000 and Nishan gets 14000.

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Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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Step-by-step explanation:

sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3

The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.

The exact value of sin(pi/3) can be determined using trigonometric properties and identities.

First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.

To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.

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slope intercept form:

y=mx+b

m=-2, b=7/2

answer:

y=-2x+7/2

Answer:

90  berries

Step-by-step explanation: