Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution

Answer:

B. f and g are reflections of each other about the y-axis.

Step-by-step explanation:

I calculated it logically

Answer: 5.6v

Step-by-step explanation:

Answer:

i dont have the picture so how?

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(82 - 60) + [(-3*4) - 36÷4]

22 + [(-12) - 36÷4] <-- Do (82-60) and (-3*4) first

22 + (-12 - 9) <-- Do 36÷4

22 + (-21)

22 - 21

1

Answer:

ok

Step-by-step explanation:

ya

Answer:

The answer would be 65%

Answering a question asked 2 months ago...

65/100 = 65%

The median for the distribution table is falls within the range of 60-70 points.

Understanding the concept of median is crucial in analyzing data and making statistical inferences.

From the given distribution table, we can see that the percentage of students scoring between 0-60 points is 15%, between 60-70 points is 10%, between 70-80 points is 25%, between 80-90 points is 30%, and between 90-100 points is 20%. To calculate the cumulative percentage, we can add up the percentages from left to right.

For instance, the cumulative percentage of students scoring between 0-70 points is

=> 15% + 10% = 25%.

Similarly, the cumulative percentage of students scoring between 0-80 points is

=> 15% + 10% + 25% = 50%.

We can repeat this process to find the cumulative percentage for each score range.

Once we have the cumulative percentages, we can find the median score. In this case, since the total percentage is 100%, the median score would be the point at which the cumulative percentage reaches 50%. We can use the height column to calculate this value.

Starting from the lowest score range, we can add the heights until the cumulative percentage exceeds 50%. The point where this happens is the median score.

Moving on to the next score range, the cumulative percentage for scores between 0-70 points is 25%, which is greater than 50%. Therefore, the median score falls within the range of 60-70 points.

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Complete Question:

A distribution table for the scores on an exam is shown below. The second row says that 10% of the students scored between 60 and 70. Fill in the blanks in the height column. Do not include units.

Points (Width) % 0-60  60-70 70-80 80-90 90-100

(Area) Height=Area/Width (% per point)  15  10  25 30  20

What is the median score?

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

2.50 + 1.25= 3.75

15.00 - 3.75= 11.25

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

the answer is −42−6x

because you Simplify  -6 times 7−6×7  to  -42−42.

You want to multiply the -6 into the bracket (distribute).

-6 x 7 = -42

X multipled by -6 is equal to -6x

Therefore, -6(7+x) once the -6 is distributed is -42-6x.

So no, it is not equal, because it should be -6x not +6x.

Answer:

AngleCAB = 44°

AngleHAB = 66°

Step-by-step explanation:

AngleEAF is a right angle, equal to 90°.

EH and DC are just two intersecting lines. They form a couple of pairs of vertical angles. Vertical angles are equal to each other. We'll use the vertical angles, AngleEAD and CAH.

Angle EAD and CAH are equal to each other.

EAD = CAH

90°+20° = 2x + 3x

Combine like terms.

110° = 5x

Divide by 5

110/5 = x

22 = x

Angle CAB

= 2x

= 2(22)

= 44

AngleCAB = 44°

AngleHAB

= 3x

= 3(22)

= 66

AngleHAB = 66°

Answer:

What's the question? Ill try to answer in comments

Step-by-step explanation:

The surface areas and volumes of the solids are listed below:

Case 1: A = 118 cm², V = 70 cm³

Case 2: A = 121.5 in², V = 91.125 in³

Case 3: A = 192 m², V = 144 m²

Case 4: A = 480 ft², V = 576 ft³

Case 5: A = 87.965 yd², V = 62.832 yd³

In this problem we need to determine the surface area and the volume of each solid. The surface area is the sum of the areas of all faces. The area and volume formulas required to answer this question are shown below:

Area

Rectangle

A = w · l

Triangle

A = 0.5 · w · l

Circle

A = π · r²

Lateral face of a cylinder

A = 2π · r · h

Volumes

Prism

V = A · h

Where:

Now we proceed to determine the surface areas and volumes of the solids:

Case 1

A = 2 · [(5 cm) · (7 cm) + (5 cm) · (2 cm) + (7 cm) · (2 cm)]

A = 2 · (35 cm² + 10 cm² + 14 cm²)

A = 2 · 59 cm²

A = 118 cm²

V = (5 cm) · (7 cm) · (2 cm)

V = 70 cm³

Case 2

A = 6 · (4.5 in)²

A = 121.5 in²

V = (4.5 in)³

V = 91.125 in³

Case 3

A = 2 · 0.5 · (8 m) · (6 m) + (6 m) · (10 m) + (6 m)² + (8 m) · (6 m)

A = 192 m²

V = 0.5 · (8 m) · (6 m)²

V = 144 m²

Case 4

A = 2 · 0.5 · (12 ft) · (8 ft) + 2 · (10 ft) · (12 ft) + (12 ft)²

A = 480 ft²

V = 0.5 · (12 ft) · (8 ft) · (12 ft)

V = 576 ft³

Case 5

A = 2π · (2 yd)² + 2π · (2 yd) · (5 yd)

A = 87.965 yd²

V = π · (2 yd)² · (5 yd)

V = 62.832 yd³

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Answer:

rate: 4                             rate: -2

starting: 3                       starting: 30

y= -4x + 3                        y= -2x + 30

rate: 2                            rate: 6

starting: -4                     starting: 6

y= 2x -4                          y= 6x + 6

Step-by-step explanation:

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

^equation to find slope

To also find b, the starting value,  you need to take any point given and substitute it back into the equation with the slope.

However, these problems give you the y-int already [it is the point like (0,y)]

7-3/1-0 = 4/1

rate: 4

starting: 3

y= 4x + 3

28-30/1-0= -2/1

rate: -2

starting: 30

y= -2x + 30

-2 - (-4)/1-0 = 2/1

rate: 2

starting: -4

y= 2x -4

6-0/1-0 = 6/1

rate: 6

starting: 6

y= 6x + 6

Answer:

40$

Step-by-step explanation:

because if he gets 4$ a week and he saves for 5 weeks you would do 4 times 5 which is 20

but also keep in mind that he has 20$ as a gift to start

so u will add the gift money with his savings so 20+20 which is 40

hope this helps! :)

Answer:

$40

Step-by-step explanation:

1. Miguel received $20 to start and $4 per week for allowance. The $20 is not a repeated thing, unlike the allowance. So, multiply the dollars per week by the number of weeks that he is saving for.

$4 per week x 5 weeks = $20.

2. Add in the $20 that he was initially given to start with.

$20+$20 = $40

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

Answer:

Inequality Form:

y<35

Interval Notation:

(−∞,35)

Answer:

y is smaller than 34 or less

Step-by-step explanation:

put the 11 to the other side and make it a negative then you get 46-11=35 than it says 35>y

Answer:

C

Step-by-step explanation:

The following shows a proper representation of vector addition using the head -to-tail method is option c.

Vector addition is a method for combining two or more vectors to obtain a resulting vector. Vector addition is performed by adding the corresponding components of each vector.

Given that,

Two vectors,

Vector 1:  u

Vector 2: v

the sum of both the vectors = ?

According head to tail method of vector addition

Head of any one vector will be added to tail of the another vector,

And in this process,

if we draw another vector, by connecting its tail with tail of vector 1 & its head with head of vector 2

then it will be a resultant of addition of two vectors

Hence, in the figure in the option c is following all the rules of method

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Answer:

faxs

Step-by-step explanation:

its b

The correct option for the function in this problem is:

D- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.9 times its value 1 year before.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

For this problem, during each 1 -year period after the equipment was purchased, the value of the equipment at the end of the period was 10% less than its value at the beginning of the period, hence r = 0.1 and the equation is:

\(A(t) = A(0)(1 - 0.1)^t\)

\(A(t) = A(0)(0.9)^t\)

Which means that option D is correct.

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Answer:

8

Step-by-step explanation:

To get 2 divided by 1/4, you can rewrite the expression as 2 times 4.

This is because 4 is the reciprocal of 1/4, and you can use the skip, flip, multiply rule when dividing a number by a fraction.

2 times 4 is 8,  therefore, your answer is 8.

Answer:

2c coins

Step-by-step explanation:

this is because 2×c=2c

para la escuela necesito mucho para mi escuela

Answer:

x=50° and y=45°

Step-by-step explanation:

x=QU(90°)-QP(40°)

x=50°

y=SU(90°)/2

y=45°

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer:

2 cos (2x)

Step-by-step explanation:

\(\frac{4 -2 sec^2x}{sec^2x} \\=\frac{4-\frac{2}{cos^2x} }{\frac{1}{cos^2 x} } \\=\frac{\frac{4 cos^2x-2}{cos^2 x} }{\frac{1}{cos^2x} } \\=\frac{2(2 cos^2x-1)}{cos^2x} \times \frac{cos^2x}{1} \\=2(2cos^2x-1)\\=2cos(2x)\)

Each coordinate of the midpoint between two points is given by the sum of the respective coordinates of those two points, divided by 2:

For the points (0,7) and (4,-9), we have:

x₁ = 0

y₁ = 7

x₂ = 4

y₂ = -9

Thus, the midpoint between those points is:

Therefore, the midpoint is: (2,-1)

Answer:

A.

✔ Aida’s Work

Step-by-step explanation:

E 2021

Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

The contribution to geometry that the work of Rene Descartes is credited with is inventing analytic geometry.

Rene Descartes is frequently referred to as the creator of analytic geometry, a branch of geometry and algebra. This is due to Descartes' discovery that any two-dimensional point may be plotted on a mathematical plane.

Descartes traveled throughout northern and southern Europe from 1619 to 1628, where, as he subsequently claimed, he studied "the book of the world." He made his name by creating analytic geometry while he was in Bohemia in 1619.

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