A set of scores ranges from a high of x = 96 to a low of x = 11. if these scores were placed in a grouped frequency distribution table, what is the best value for the interval width?

Answers

Answer 1

There is no hard and fast rule to select the class width. It largely depends on our application.However, one thing that should be kept in mind is that the number of classes should neither to be too low nor too high. So keeping this thing in mind, the class width is select.

The range of the data is = Maximum- Minimum = 96 - 11 = 85
10 classes will be most suited for this data.

The class width for each data can be calculated as:

Class Width = Range / Number of Classes = 85/10 = 8.5
Class width is always rounded to nearest next integer. So the class width will be 9 in this case.

So, the best value of class width or interval width for the given data will be 9.

Answer 2

The best value for the interval width is 17

The highest and the lowest data elements are given as:

x = 96

x = 11

Start by calculating the range

Range = High - Low

So, we have:

Range = 96 - 11

Range = 85

The interval width depends on the number of classes.

Assume that the number of classes is 5,

Then the width is calculated as:

Width = Range / Class

So, we have:

Width = 85/5

Width = 17

Hence, the number of interval width is 17

Related Questions

The legs of a right triangle are 13 and 22 inches long. Needa says that the hypotenuse is 17.7 inches long and Monifa says that it is 25.6 inches long. Is either of them correct? Explain

Answers

Monifa's answer is closer to the correct answer. To find the hypotenuse of the triangle, you will use the Pythagorean theorem. This states that a^2+b^2=c^2. So. 13 squared + 22 squared is c squared. 653 is c squared. To solve for c, find the square root of 653 which is approximately 25.6.

if a/4 = b/7, what is the value of a-b/b ?

Answers

Consider this option:
1. to simplify given expression (a-b)/b:
[tex] \frac{a-b}{b}= \frac{a}{b}-1;[/tex]
2. to rewrite given expression a/4=b/7:
[tex] \frac{a}{b} = \frac{4}{7};[/tex]
3. to substitute a/b into the simplified expression:
[tex] \frac{a}{b} -1= \frac{4}{7} -1=- \frac{3}{7};[/tex]

answer: -3/7

I NEED HELP PLEASE??!!!???

Answers

Instruments for measuring:

You can use different instruments for measuring capacity. You'll need to choose the most suitable instrument for the task.

You Need to Consider:
What you are measuring: Is it a large or small amount of liquid.
Whether the scale on the instrument goes up high enough, to do this you need to estimate the measurement. For example to measure 1.5 liters you can't use a jug that only measures up to 1 liter.

What measuring instruments you have available
Whether the scale uses the correct units. Older measuring instruments might have this scale in imperial units, fluid ounces (FL oz.).

Whether the scale will give you an accurate enough reading. Are the divisions small enough?

Here are some examples:

1. You can use a medicine cup to measure small amounts of liquid. It has a Capacity of 30 ml.

2. You can use a Jug in the kitchen. It has a Capacity of 1 liter. The jug's scale in metric units (liters and milliters), and imperial units (pints and fluid ounces).

3. You can use the scale on a kettle to measure amount of water you want to boil. It has a Capacity of 1.7 liters.

4. You can use a bucket to measure large amounts of liquid. This one has a capacity of 11 liters.

Hope this Helps!!!!

Will someone please do number 8 for me ?

Answers

14/12 = 1.166
18/16 = 1.125
they are not similar

round the following number to the nearest hundredth which one of the numbers is in the hundreds place and does it go up or down I don't know which number is the hundredths place

Answers

This topic is place value. The hundredths place is the second number from the decimal point (from the picture, I think it says 5?).
Here is a quick order of place value:
Thousands
Hundreds
Tens
Units
(Decimal point)
Tenths
Hundredths
Thosandths

George does not like the fact that his neighborhood makes it mandatory to pay a yearly fee to use the pool. He conducts a survey of all the neighborhood families to help support his case that the yearly fee should be voluntary. The survey asks questions about pool usage and financial statistics of the families. Is this a valid survey? Why or why not?

Answers

yes, since he wants to try to convince the pool owner to change the mandatory fee

The lines shown below are parallel. If the green line has a slope of -2, what is the slope of the red line?

Answers

If the two lines are parallel, then they have the same slope. Parallel lines never intersect.

If the two lines are parallel, they must have the same degree of steepness,
therefore their slope is the same.

If the green line has a slope of -2, then the red line must have a slope of -2 too.

Ans: -2

Factorise x^2 + 3x -40

Answers

notice, all we do is "prime factor" 40, and use the factors about to add them and get the middle coefficient of 3, and since they're factors, their product will give us 40 back.

[tex]\bf x^2\stackrel{8-5}{+3}x\stackrel{(8)(-5)}{-40}\implies (x+8)(x-5)[/tex]

lindsey earn $70 for working 5 hours. how much does she earn for working 12 lawns?

Answers

$180 for working 12 lawns.

Answer $ 168

as per the question,

money earned for working 5 hours = 70

money earned for working 1 hour = 70/5= 14

money earned for working 12 hours = 12 * 14

money earned for working 12 hours = $168

Genna can build a cabinet in 4 hours. Claude can build a cabinet in only 3 hours. Which of the following can be used to determine the amount of time it would take for Genna and Claude to build a cabinet together? (2 point

Answers

add to find the answer
it is really
answer: 7 hours

1/4+1/3=1/x is the correct answer

if an object is shot with an initial velocity , vo, in feet per second(ft/s) the velocity, v, in ft/s is given by the formula v=v0 -32t, where t is time in seconds. find the initial velocity of an object if the velocity after 3 seconds is 31 ft/s

Answers

We are given the information that when[tex]t=3[/tex],

Final answer:

To find the initial velocity, we rearrange the given velocity equation to solve for the initial velocity, then substitute the given values. The initial velocity is found to be 127 ft/s.

Explanation:

The given formula for velocity is v = v0 - 32t, where 'v' is the velocity at a certain time 't', and 'v0' is the initial velocity. In this case, we're given that v is 31 ft/s after 3 seconds. To find the initial velocity 'v0', you need to rearrange the equation to solve for 'v0'. This gives:

v0 = v + 32t

Substituting the given values into the rearranged equation gives:

v0 = 31ft/s + 32(3s)

This simplifies to:

v0 = 31ft/s + 96ft/s = 127ft/s

So the initial velocity of the object is 127 ft/s.

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A circle has a diameter of 9 inches. What is the approximate ratio of the circumference of the circle to its diameter?

A) 22/7
B)7/22
C)1/2
D)2/1

Answers

The ratio of circumference to diameter is the irrational constant named "pi." It is approximately 3.141592653589793238462643... and is sometimes approximated by 22/7.

Selection A.

The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviation of 5.3 lbs. what is the probability that for (a random sample of) 100 passengers … the total luggage weight is less than 2,100 lbs?

Answers

Answer:

0.9987

Step-by-step explanation:

Given that X, The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviation of 5.3 lbs.

For a sample of size 100, we have

n=100

Hence std deviation of sample = [tex]\frac{SD}{\sqrt{n} } =0.53[/tex]

To find the probability that X>2100/100 lbs

=P(X<21[tex]\frac{21-19.4}{0.53} =3.019[/tex]) =P(Z<3.019)

=0.5+0.4987

0.9987

By what percent will a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%?

Answers

Let the fraction be (x/y).

If the numerator is decreased by 30% and its denominator is decreased by 50%

the new fraction becomes (0.7x/0.5y)=1.4(x/y)

The increase=(1.4-1)*100=0.4*100=40%

40 percent of a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, numerator is decreased by 30% and its denominator is decreased by 50%.

Let x/y be the original fraction.

Then, the new fraction is (x-30% of x)/(y-50% of y)

= 0.7x/0.5y

Now, difference = 0.7x/0.5y-x/y

= 0.7x/0.5y - 0.5x/0.5y

= 0.2x/0.5y

Percentage increase = 0.2x/0.5y ÷ x/y

= 0.2/0.5 ×100

= 40%

Therefore, 40 percent of a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%.

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when is a rectangle a square?
a) when its sides are parallel
b) when its angles are right angles
c) when its sides are congruent
d) when its angles are convex angles

Answers

A rectangle becomes a square when all of its sides are congruent, which is the defining characteristic that differentiates it from a rectangle. While rectangles do share other attributes such as parallel sides, right angles, and convex angles, these do not specifically define a square.

A rectangle becomes a square when all of its sides are congruent. This by definition means that all four sides of the shape are of equal length. While rectangles do have parallel sides and right angles, these characteristics alone do not suffice to differentiate a square from a rectangle, as rectangles also have these attributes. In the case of convex angles, both squares and rectangles have angles that are convex, so this also cannot be used to distinguish a square from a rectangle.

To specifically address the options provided:

a) when its sides are parallel: This is true for both rectangles and squares, but it doesn't make a rectangle a square.b) when its angles are right angles: Again, both shapes share this characteristic so it doesn't define a square specifically.c) when its sides are congruent: This is the defining characteristic of a square compared to a rectangle.d) when its angles are convex angles: Both rectangles and squares have convex angles, so this does not define a square.

Therefore, the most accurate answer is (c) when its sides are congruent.

Dana and her 4 friends are going on a camping trip. Dana wants to see how much fruit she can share so everyone will get the same amount of fruit. There are 5 apples, 10 oranges, 5 strawberries and 10 grapes. How much will each person get?

Answers

I agree that the answer is 6. 30÷5=6

One number is 4 less than twice a second number. find a pair of such numbers so that their product is as small as possible.

Answers

For this case, the first thing we must do is define a variable.
We have then:
x: unknown number.
First number: 2x - 4
Second number: x
The product of the numbers is:
[tex] y = x (2x-4) [/tex]
Rewriting:
[tex] y = 2x ^ 2-4x [/tex]
Deriving the equation we have:
[tex] y '= 4x-4 [/tex]
We equal zero and clear x:
[tex] 4x - 4 = 0 x = 4/4 x = 1[/tex]
Then, the first number is:
[tex] 2x - 4 = 2 (1) - 4 = 2 - 4 = - 2 [/tex]
Answer:
First number: -2
Second number: 1

Answer:

Numbers are -2 and 1.

Step-by-step explanation:

Let x be the second number,

⇒ First number = 4 less than twice a second number

= 2 × Second number - 4

= 2x - 4

Thus, the product of first and second number is,

[tex]f(x) = x(2x-4)[/tex]

[tex]\implies f(x) = 2x^2 - 4x[/tex]

Differentiating with respect to x,

[tex]f'(x) = 4x -4[/tex]

Again differentiating with respect to x,

[tex]f''(x) = 4[/tex]

Now, for maximum or minimum,

[tex]f'(x)=0[/tex]

[tex]\implies 4x - 4 = 0\implies 4x = 4\implies x = 1[/tex]

Since, for x = 1, f''(x) = Positive,

Therefore, the function f(x) is minimum for x = 1,

⇒ The product is smallest for x = 1,

Hence, the second number = x = 1,

And, first number = 2x - 4 = 2 - 4 = -2

find the value of the combination

Answers

=1 I calculated the combine value

In a certain class 40% of students are girls and 20% of the girls wear glasses what percent of the children in the class a girl who wear glasses?

Answers

Okay.
40/100 students are girls.
20% of those 40 girls wear glasses.
So that's 20/40.
20/100

The percentage of the children in the class who is a girl and wears glasses is 8%.

Given that:

Total students in the class = 100%

Percentage of students in the class who are girls = 40%

Percentage of girls who wear glasses = 20%

It is required to find the percentage of students in the class who are girls wearing glasses.

This can be found as:

P = 40% × 20%

= 0.4 × 0.2

= 0.08

Now 0.08 in terms of percentage is 0.08 × 100 = 8%.

Hence the percentage of girls who wear glasses is 8%.

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find the surface area

Answers

2(4x2)+2(1/2 4x3.5)+(4x2)
2(8)+2(1/2 14)+8
16+ 2(7)+8
16+14+8
38 sq. ft.

suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is pi/3. what is the length of the third side of the triangle

Answers

Apply cosine rule:

c²=b²+a²-2ba cosC

C= pi/3 = 180/3 = 60 degrees
cosine 60 deg = 0.5
c²=2²+3²-[2×2×3×0.5]
c²=7
c=√7
c=2.645 ;length of third side of angle

The length of the third side of the triangle will be 2.65 units.

What is law of cosine?

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle C, then we have:

a² + b² – 2ab cos(C) = c²

A triangle has two sides of length 2 and 3 and that the angle between these two sides is π/3.

Then the length of the third side of the triangle will be

c² = 2² + 3² – 2 x 2 x 3 x cos(π/3)

c² = 4 + 9 – 12 x (1/2)

c² = 13 – 6

c² = 7

c = √7

c = 2.65 units

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Does the graph represent a function that has an inverse function?
A. Yes
B. No

Answers

Answer: A. Yes.

Step-by-step explanation:

To find out if the function represented in the graph has an inverse function, you must apply the Horizontal Line Test, which is used to know if a function is a One-to-one function.

A one-to-one function is that function where each x value has an unique y value.

Therefore, if in the Horizontal Line Test, the horizonal intersects the graph of the function at only and only one point, then the function has an inverse function.

As you can see in the graph attached, the horizontal lines intersect the function at only one point, therefore, you can conclude that it is a One-to-one function and it has an inverse function.

Final answer:

TRUE. The graph represents a function that has an inverse function because it passes the horizontal line test.

Explanation:

The graph represents a function that has an inverse function if and only if each horizontal line crosses the graph at most once. This is known as the horizontal line test. If a function passes the horizontal line test, then it has an inverse function. If it fails the horizontal line test, then it does not have an inverse function.

In this case, we can see that the graph passes the horizontal line test because each horizontal line intersects the graph at most once. Therefore, the graph represents a function that has an inverse function.

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what is the perimeter of a right trianglr whose hypotenuse is the line segment A(-6,4) B(2,-1)

Answers

Given hypotenuse is the line segment A(-6,4) B(2,-1)

[tex]\text { Length of hypotenuse = } \sqrt{(-6-2)^2 + (4-(-1))^2} [/tex]

[tex]\text { Length of hypotenuse = } \sqrt{64 + 25} [/tex]

[tex]\text { Length of hypotenuse = } \ 9.43 \text { units}[/tex]

height = | 4 - (-1)|= 5 units

Base = |-6 -2| = 8 units

Perimeter = 9.43 + 5 + 8 = 22.43 units

---------------------------------------------
Answer: Perimeter = 22.43 units
---------------------------------------------

What is the equation of this circle in general form?

x² + y² + 8x + 10y + 25 = 0

x2+y2−8x−10y+25=0

x2+y2−8x−10y+37=0

x² + y² + 8x + 10y + 37 = 0

Answers

The center of the circle is located at (-4,-5) and its radius is 4.
The equation of a circle is:
[tex](x - xo) {}^{2} + (y - yo) {}^{2} = r {}^{2} [/tex]
(x+4)²+(y+5)²=4²
x²+8x+16+y²+10y+25=16
Simplify 16:
x²+y²+8x+10y+25=0

Tis the actual answer :)

twice a number x is at most -24. 2x ≥ -24

Answers

Hello! So we have the inequality set up as 2x ≥ -24. To find the value of x, all we have to do is divide each side by 2 to isolate the x. 2x/2 cancels out. -24/2 is -12. There. The solution is x ≥ -12.

The value of x should be equal to and greater than -12.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

twice a number x is at most -24.

So, the mathematical expression is

2x ≥ -24

Now, divide both side by 2

2x / 2 ≥ -24 /2

x ≥ -12

So, the value of x should be equal to and greater than -12.

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Find equations for the tangent plane and the normal line at point upper p 0(3 comma 5 comma 0) on the surface negative 7 cosine left parenthesis pi x right parenthesis plus 3 x squared y plus 5 e superscript xz baseline plus yz equals 147.

Answers

Dude what the heck......

starting value 16 increases by 50% with each teem

Answers

16, 24, 32, 40, 48, 56, 64
If I'm correct about what you're looking for, you'd add 8 each time since that's 50% of 16. Really hope this helps!

simplify the expression given below

Answers

Option D should be the correct answer.
Photomath is a great app to use for algebra problems.

For this case, what you should do is follow the steps below.
Step 1:
Cross product for sum of fractions.
Step 2:
Rewrite the expression Adding and subtracting terms from the same grade.
Step 3:
Simplify expression.
Answer
Option 4
See attached image.

Verify the identity. Show your work. cos(α - β) - cos(α + β) = 2 sin α sin β

Answers

[tex]\bf \textit{Sum and Difference Identities} \\\\ cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\ -------------------------------[/tex]

[tex]\bf {cos(\alpha - \beta)-cos(\alpha+\beta)}=2sin(\alpha)sin(\beta) \\\\\\ \stackrel{\textit{left-hand-side}}{[cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)]-[cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)]} \\\\\\ \underline{cos(\alpha)cos(\beta)} + sin(\alpha)sin(\beta)-\underline{cos(\alpha)cos(\beta)} + sin(\alpha)sin(\beta) \\\\\\ sin(\alpha)sin(\beta)+ sin(\alpha)sin(\beta)\implies 2 sin(\alpha)sin(\beta)[/tex]

he circle shown below has AB and BC as its tangents: AB and BC are two tangents to a circle which intersect outside the circle at a point B. If the measure of arc AC is 160°, what is the measure of angle ABC? (1 point) 80° 40° 60° 20°

Answers

A quadrilateral has a sum of interior angles equal to 360.

Angle A & C are each 90 degrees, and we're given that AOC (arc AC) is 160 degrees.

Therefore
angle ABC=360-160-90-90=20 degrees

Answer:

m∠ABC=20°

Step-by-step explanation:

Consider quadrilateral ABCO. The sum of the measures of all interior angles in quadrilateral ABCO is equal to 360°.

Lines BA and BC are tangent to the circle, then the radii OC and OA are perpendicular to the tangent lines BC and BA. Therefore,

m∠BCO=90°;m∠BAO=90°.

The measure of the angle AOC is 160° (because the measure of arc AC is 160°). So,

m∠ABC+m∠BCO+m∠BAO+m∠AOC=360°,

m∠ABC=360°-(m∠BCO+m∠BAO+m∠AOC)=360°-(90°+90°+160°)=20°.

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