A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Identify the FALSE statement: Group of answer choices At least 25% of the students scored a 67 or below. At least 18 students scored below a 67. At least 9 students scored between 67 and 73. At least 25% of the students scored an 81 or above.

Answers

Answer 1

Answer:

At least 18 students scored below a 67.

Step-by-step explanation:

Given the 5 number summary of scores obtained by 37 students in a test worth 100 points :

55, 67, 73, 81, 98

Minimum = 55

Q1 = 67

Q2 = 73

Q3 = 81

Maximum = 98

Q1 = first quartile = 25%

Atleast 25 % scored below 67 (True)

25% of 37 students = 0.25 * 37 = 9.25

Atleast 9 students scored below 67 (True)

Median, Q2 = 50%

Score between Q2 and Q1 = 50% - 25% = 25% ;

Hence, atleast 25 students scored between 73 and 67 ; meaning (0.25 *37) = 9.25 students Hence. Atleast, 9 students scored between 73 and 67 (True)

Third quartile = 75%

Percentage above third quarterile = (100 - 75)% = 25%

Hence, atleast 25% scored above 81 (True)

The false statement is At least 18 students scored below a 67.


Related Questions

which are true please help

Answers

Answer:

  All statements above are false

Step-by-step explanation:

You want to know which of the statements saying translation, rotation, and reflection change the measures of line segments or angles is true.

Rigid motion

Translation, rotation, and reflection are referred to as "rigid motion." That means all parts of the transformed figure keep their measures and positions relative to other parts of the figure. No lengths or angle measures are changed.

  All of the (above) listed statements are false.

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Three lines intersect to form six angles that measure in degrees in some of the angles are represented by expressions as shown in this. Based on the diagram write an algebraic equation that can be used to find the value of X show explain how you got your answer

Answers

1. The equation to be formed is 40 + 5x + 90 = 180

2. The value of x is 10

What is the sum of angles on a straight line?

A straight line's total angles are always 180 degrees. Around the place where two lines join, they create four angles. The total of the angles on either side of a straight line, if those lines are straight and form one, is always 180 degrees.

We know that;

40 + 5x + 90 = 180 (Sum of angles on a straight line)

130 + 5x = 180

5x = 180 - 130

x = 50/5

x = 10

Thus the value of x is given as 10

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The number of miles on a car when the engine fails is normally distributed. The mean is 60,000 miles and the standar
deviation is 5000 miles. What is the probability the engine will not fail between 55,000 and 65,000 miles?
25%
40%
35%
32%

Answers

The probability that the engine will not fail between 55,000 and 65,000 miles, based on normal distribution probabilities, when the mean failure is 60,000 miles and standard deviation of 5,000 miles is e) 68%.

What is the normal distribution probability?

Normal distribution probability is a continuous probability distribution with symmetrical values that mostly cluster around the mean.

We can compute the normal distribution probability using the normal distribution calculator.

Mean number of miles when a car's engine fails = 60,000 miles

Standard deviation = 5,000 miles

Sample  cutoff = between 55,000 and 65,000 miles

The probability of the engine fail between 55,000 and 65,000 miles = 0.6827.

= 68%.

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Question Completion:

a) 25%

b) 40%

c) 35%

d) 32%

e) 68%

Please help due 5 min!!!!

Answers

The midsegments of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases

-49 = 7i, what number is the i.

Answers

Answer:

-7

Step-by-step explanation:

divide by 7 on both sides and you get i = -7

some help is required

Answers

54° is the value of the given angle BAC.

As we know that the arc and angles formed by intersecting chords,

θ = (α + β)/2    .....(i)

According to the given figure, we have

θ = 10x+4

α =9x-12

β = 12x +15

Substitute the value in equation (1)

10x+4 = (9x-12+12x +15)/2

20x+8 = 21x +3

x = 8-3

x = 5

Thus,

∠BAC = θ

= 10*5+4

= 50 + 4

=54

Therefore, the value of the given angle will be 54°.

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Help me please I need help asap

Answers

1. Area of the smaller circle is 100πcm²

2. Area of the bigger circle 800πcm²

How to determine the value

The formula for the circumference of a circle is expressed as;

Circumference = 2πr

Substitute the values, we get;

20π = 2πr

Divide by the coefficient of r, we get;

r = 10cm

Now, area of a circle is expressed as;

Area = πr²

Substitute the value of the radius

Area = π × 10²

Find the square

Area = 100πcm²

Area of the big circle = 8(area of the small circle)

substitute the values

Area of the big circle = 8(100π)

expand the bracket

Area of the big circle = 800 πcm²

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at ghs the ratio of students to teachers is about 14.5 to 1 approximately how many teachers would there be if the school had an enrollment of 205 students

Answers

Answer:

14

Step-by-step explanation:

14.5 to 1

205/14.5 = 14

solve for v, PV/T=pv/t

Answers

No matter the values of P, V, T, p, and t, as long as the equation PV/T = pv/t holds true, the solution for v is always equal to V.

To solve for v in the equation PV/T = pv/t, we can manipulate the equation to isolate v on one side.

Starting with the given equation:

PV/T = pv/t

To isolate v, we can cross-multiply:

PVt = pVt

Next, we divide both sides of the equation by pt:

V = v

Therefore, the solution is v = V.

In other words, v is equal to V, which means they represent the same values.

This implies that v and V are interchangeable and can be used interchangeably in the equation.

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Simplify > (x)3(−x3y)2

−x9y2

x5y2

−x6y2

x9y2

Answers

The simplified expression of the expression (x)³(−x³y)² is x⁹y²

Simplyfing the expression using the common factor

From the question, we have the following parameters that can be used in our computation:

(x)3(−x3y)2

Express properly

So, we have

(x)³(−x³y)²

Open the brackets

(x)³(−x³y)² = x³ * x⁶y²

Multiply (x)³ and x⁶ in the expression

So, we have the following representation

(x)³(−x³y)² = x⁹y²

Hence, the simplified expression is x⁹y²

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need help fast pls!!!​

Answers

The volume of solid figure is,

⇒ V = 113 cm³

We have to given that;

A solid figure is shown with a cylinder and a cone.

Now, We know that;

Volume of cylinder = πr²h

And,

Volume of cone = πr²h / 3

Where, 'r' is radius and 'h' is height.

Here, Height of cylinder = 7 cm

And, Radius of cylinder = 4/2 = 2 cm

Hence, WE get;

Volume of cylinder = πr²h

Volume of cylinder = 3.14 x 2² x 7

Volume of cylinder = 87.9 cm³

And, Height of Cone = 6 cm

Radius of Cone = 4/2 = 2 cm

Hence, WE get;

Volume of Cone = πr²h/3

Volume of Cone = 3.14 x 2² x 6 / 3

Volume of Cone = 25.1 cm³

Thus, The volume of solid figure is,

⇒ V = 87.9 cm³ + 25.1 cm³

⇒ V = 113 cm³

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You roll a 6-sided number cube and toss a coin. Let event A = Toss a heads.

What outcomes are in event A?

What outcomes are in event AC?

Answers

1. Event A includes the outcomes of H and T,

2. while event AC includes all the possible outcomes of rolling a number cube, which are 1, 2, 3, 4, 5, and 6.

1. Event A is defined as tossing a heads on a coin, regardless of the outcome of rolling a number cube. Therefore, the outcomes in event A are H (heads) and T (tails), since either of these outcomes could occur when rolling a number cube and tossing a coin.

2. Event AC is the complement of event A, i.e., it is the set of outcomes that are not in event A. Since event A contains H and T, the outcomes in event AC are the remaining outcomes that are not in event A, which are all the possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, and 6.

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The product of a number and five added to 17

Answers

Answer:

The phrase "The product of a number and five added to 17" can be represented mathematically as:

5x + 17

In this expression, 'x' represents the unknown number. The product of the number and five is calculated by multiplying the number by 5, and then 17 is added to the result.

Can someone answer this question

Answers

8/5 is the value that is not one of the possible rational zeros of the given polynomial.

Using the Rational Root Theorem, we need to consider the factors of the constant term (-8) divided by the factors of the leading coefficient (5).

The factors of -8 are ±1, ±2, ±4, ±8.

The factors of 5 are ±1, ±5.

Since the leading coefficient of the given polynomial is positive (5), the negative factors can be ignored.

So, the possible rational zeros are:

1/1, 2/1, 4/1, 8/1, 1/5, 2/5, 4/5, 8/5

Now, we can substitute each of these values into the polynomial and see if any of them result in a zero.

Upon checking, we find that 8/5 is not a zero of the polynomial 5x³ - 2x² + 20x - 8.

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50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

Answer:

d. 465 degrees (not my own answer, see below)

Step-by-step explanation:

Take a look here for the expert-verified answer:

https://brainly.com/question/31503639

Find the area of the composite figure

Answers

The area of the composite shape is 125units²

What is area of shape?

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A composite shape can be defines as a shape created with two or more basic shapes.

The composite shape can be divided into 2 equal squares and a rectangles.

Area of the square = l²

= 5× 5 = 25

For two squares it will be;

25 × 2

= 50 units²

area of the rectangle = l× w

where w is the width

A = 15 × 5

= 75 units²

Therefore the area of the composite shape = 50 + 75 = 125 units²

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b) tan 2A cot A-1 = sec 2A

Answers

The trigonometric equation is tan 2A cot A-1 = sec 2A

We have to prove the trigonometric equation

tan 2A cot A-1 = sec 2A

Now let us take LHS

tan 2A cot A-1  

2tanA/1-tan²A - 1 . cotA - 1

2-1+tan²A/1-tan²A

1+tan²A/1-tan²A

sec2A

Hence, the trigonometric equation is tan 2A cot A-1 = sec 2A

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b) Find the sum of all the numbers between 0 and 207 which are exactly divisible by 3.

Answers

27 and 9 are two numbers between 0 & 207 which are divisible with three and then their sum = 27+9=36

5. [0.5/1 Points] DETAILS PREVIOUS ANSWERS SALGTRIG4 7.3.112.
A rectangle is to be inscribed in a semicircle of radius 4 cm as shown in the following figure.
10
4 cm-
(a) Find the function that models the area of the rectangle.
A(0) = 16 sin (20)
Need Help? Read It
MY NOTES
4
ASK YOUR TEACHER
(b) Find the largest possible area for such an inscribed rectangle. [Hint: Use the fact that sin(u) achieves its maximum value at u=/2.]
16
cm²
(c) Find the dimensions of the inscribed rectangle with the largest possible area. (Round your answers to two decimal places.)
smaller dimension 2
x cm
larger dimension 25
x cm
PR.

Answers

The Area function [tex]A(x) = 2x * \sqrt(16 - x^2).[/tex]

How to solve

(a) For a rectangle inscribed in a semicircle of radius 4 cm, let half-length be x and height be y.

Therefore, the Area function [tex]A(x) = 2x * \sqrt(16 - x^2).[/tex]

(b) Maximum area occurs when x = [tex]4 * sin(\pi/4), so A(4 * sin(\pi/4)) = 16 cm^2.[/tex]

(c) Dimensions for the largest inscribed rectangle are smaller dimension (height) ≈ of 2.83 cm, a larger dimension (base) ≈ of 5.66 cm.

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A triangle has side lengths of 2.83 meters, 4 meters, and 2.24 meters. The angles measure 45°, 63°, and 72°.

What type of triangle is this?

Answers

Answer:

ougylbhj,

Step-by-step explanation:

ulygkuyHold on, our servers are swamped. Wait for your answer to fully load

The proof shows that ABCD is a square. Which of the following is the missing
reason?
E
B
AC BD
mZDEC = 90°

Answers

The missing reason in the proof is "mZDEC = 90°" or "Angle DEC is a      right angle."

The missing reason in the proof is the statement "mZDEC = 90°". This statement implies that the angle DEC is a right angle, which is a crucial piece of information in proving that ABCD is a square.

In a square, all angles are right angles, so if we can establish that an angle in the figure is 90°, we can conclude that the figure is a square. In this case, the angle DEC being 90° is the key piece of evidence that supports the claim that ABCD is a square.

The statement "mZDEC = 90°" indicates that the measure of angle DEC is 90 degrees. This is significant because it confirms that one of the angles in the figure is a right angle, meeting the definition of a square.

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A kid's size small T-shirt is designed to fit children
who weigh between 43 and 55 pounds.
a. Write an inequality to describe w, the weight
of a child who has outgrown the small T-shirt.
9 √
b. Write an inequality to describe y, the weight
of a child who is not ready for the small T-shirt
yet.

Answers

A) The inequality that the weight of a child who has outgrown the small T-shirt is w > 55. B) The inequality that the weight of a child who is not ready for the small T-shirt yet. Is y < 43

How to determine the inequalities

a. To describe the weight (w) of a child who has outgrown the small T-shirt, we can use the inequality:

w > 55

This inequality states that the weight of a child (w) must be greater than 55 pounds for them to have outgrown the small T-shirt.

b. To describe the weight (y) of a child who is not ready for the small T-shirt yet, we can use the inequality:

y < 43

This inequality states that the weight of a child (y) must be less than 43 pounds for them to not be ready for the small T-shirt yet.

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Could someone help me with this? I have to double check I’m right thank you

Answers

Solving linear equations using matrices involves steps ranging from creating an augmented matrix, performing row operations, back substitution, and then interpreting results

To solve a system of linear equations using matrices:

Step 1: Write the system of linear equations in matrix form.

Represent the coefficients of the variables as a matrix (called the coefficient matrix), and the constants on the right side of the equations as another matrix (called the constant matrix).

Step 2: Create the augmented matrix.

Combine the coefficient matrix and the constant matrix into a single matrix by appending the constant matrix as an additional column. This combined matrix is called the augmented matrix.

Step 3: Perform row operations to achieve row-echelon form.

Use row operations (swapping rows, multiplying a row by a constant, or adding/subtracting rows) to manipulate the augmented matrix into row-echelon form. Row-echelon form has zeroes below the diagonal and non-zero elements on the diagonal.

Step 4: Perform back-substitution.

Starting from the last row of the row-echelon form matrix, solve for the variables using back-substitution. Substitute the values of the variables you find into the previous rows to determine the remaining variable values.

Step 5: Interpret the results.

Once you have solved all the variables, you have found the solution to the system of linear equations. If there are infinitely many solutions or no solutions, this will be indicated by the row-echelon form.

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Which equation is represented by the graph below?
16
&
T
&
4
Oy=e*+5
Oy=e* +4
Oy=Inx+4
2
1
-2 -1₁
7 ?
TY
1
2
3 4

Answers

The exponential function graphed in this problem is given as follows:

[tex]y = e^x[/tex]

How to define an exponential function?

An exponential function has the definition presented according to the equation as follows:

[tex]y = ab^x[/tex]

In which the parameters are given as follows:

a is the value of y when x = 0.b is the rate of change.

The graphed function has an intercept of 1, hence the parameter a is given as follows:

a = 1.

The function has the base e, hence it is given as follows:

[tex]y = e^x[/tex]

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Write the equation of a line perpendicular to the one above that passes through (-2, 9). You may use either slope intercept or point slope form.

Answers

Answer:

-3x + 3

Step-by-step explanation:

To find the equation of a line perpendicular to the line passing through (-2, 1) and (4, 3), we need to determine the slope of the original line first. Then, we can use the negative reciprocal of that slope to find the slope of the perpendicular line. Finally, we can use the point-slope form to write the equation of the perpendicular line.

Step 1: Find the slope of the original line.

Slope (m) = (change in y) / (change in x)

m = (3 - 1) / (4 - (-2))

m = 2 / 6

m = 1/3

Step 2: Determine the slope of the perpendicular line.

The slope of the perpendicular line is the negative reciprocal of the original line's slope.

Perpendicular slope = -1 / (1/3)

Perpendicular slope = -3

Step 3: Use the point-slope form to write the equation.

The point-slope form is given by:

y - y1 = m(x - x1)

Using the point (-2, 9) and the perpendicular slope (-3), we can write the equation as:

y - 9 = -3(x - (-2))

y - 9 = -3(x + 2)

y - 9 = -3x - 6

y = -3x + 3

Therefore, the equation of the line perpendicular to the line passing through (-2, 1) and (4, 3) and passing through (-2, 9) is y = -3x + 3.

1. Is there a right angle in the triangle shown by connecting the center of the earth, the
satellite & station 1? How do you know? *Assume that the line connecting the satellite
& station 1 is tangent to the earth*

Answers

The triangle shown in the figure formed by the line connecting the center of the Earth to the Station 1, the Station 1 to the Satellite, and the Satellite to the center of the Earth forms a right triangle.

What is a right triangle?

A right triangle is a triangle that has a 90 degrees interior angle.

The line joining the center of the Earth and Station 1 is perpendicular to the line connecting the Satellite to Station 1, because, the line connecting the Satellite to Station 1 is a tangent and tangents to a circle are perpendicular to a radius of the circle at the point of tangency.

The triangle formed by connecting the center of the Earth to the Station 1, and connecting the Satellite to Station 1, and connecting the Satellite to the center of the Earth forms a right triangle, because the angle formed by the line connecting the center of the Earth to Station 1, forms a right angle with the tangent from the Satellite to the Station 1

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3.3.4√20+5-43 calculate ​

Answers

Here are the steps to calculate the expression √20 + 5 - 43 :

Step 1: Simplify the square root of 20:

[tex]\sqrt{20}[/tex]

Step 2: Calculate the value of the square root:

[tex]\sqrt{20} = 2\sqrt{5}[/tex]

Step 3: Substitute the value of the square root into the expression:

[tex]2\sqrt{5} + 5 - 43[/tex]

Step 4: Perform addition:

[tex]2\sqrt{5} + 5 = 2\sqrt{5} + \frac{5}{1} = \frac{2\sqrt{5} + 5}{1}[/tex]

Step 5: Perform subtraction:

[tex]\frac{2\sqrt{5} + 5}{1} - 43 = \frac{2\sqrt{5} + 5 - 43}{1}[/tex]

Step 6: Simplify the numerator:

[tex]\frac{2\sqrt{5} - 38}{1}[/tex]

Step 7: Simplify the expression:

[tex]2\sqrt{5} - 38[/tex]

Therefore, the calculation √20 + 5 - 43 simplifies to 2√5 - 38.

A researcher performed an experiment with two groups. She found the difference of the means for each group. Then
she combined the groups, chose two new groups, and found the difference between the means of those groups. She
repeated this process 200 times. The normal distribution of the difference in the means she found is given below. How
great would the difference in means between the first two groups have to be in order to be considered significant?
At least 8
O At least 10
At least 9
At least 7

Answers

Answer:

Step-by-step explanation:

To determine the significance level for the difference in means between the first two groups, we need to refer to the provided normal distribution. However, you haven't provided the details or parameters of the normal distribution, such as the mean and standard deviation. Without this information, it is not possible to determine the exact significance level required.

In hypothesis testing, the significance level, typically denoted as α (alpha), is chosen by the researcher before conducting the experiment. It represents the threshold at which the researcher considers the results to be statistically significant. Commonly used significance levels are 0.05 (5%) or 0.01 (1%).

Please provide the necessary parameters or more information about the normal distribution to determine the specific significance level for the difference in means between the first two groups.

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

5/4 = h/44, so h = 55

The height of the tree is 55 feet.

D is correct.

24. Find RT.
13
Ø
S
P
X
11
20
RT =

Show work need bothof these problems

Answers

24. The length RT is 18 units

25. The equation of the circle graphed is x² + (y - 3)² = 16

24. How to calculate the length RT

The length RT can be calculated using the intersecting secants equation

So, we have

11 * (11 + x) = 9 * (9 + 13)

So, we have

11 + x = 18

This gives

RT = 18

The equation of the circle

The equation of the circle graphed is represented as

(x - a)² + (y - b)² = r²

Where, we have

Center = (a, b) = (0, 3)Radius, r = 4 units

So, we have

(x - 0)² + (y - 3)² = 4²

Evaluate

x² + (y - 3)² = 16

Hence, the equation of the circle graphed is x² + (y - 3)² = 16

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