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?
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
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A student who was ineligible for financial aid needed to borrow 775,000 for tuition,books,and living expenses. Some money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each interest rate if the annual interest owed was 67,500 and the amount borrowed at 8% was four times the amount borrowed at 10%.
8%:
9%:
10%:
The sum of two numbers is 67. The smaller number is 21 less than the larger number. What are the numbers?
The equations are x + y = 67 and x = y + 21. Then the two numbers are 44 and 23.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 67. The smaller number is 21 less than the larger number.
Let the two numbers be 'x' and 'y' and x > y. Then the equations are given as,
x + y = 67 ...1
x = y + 21 ...2
From equations 1 and 2, then we have
y + 21 + y = 67
2y = 46
y = 23
Then the value of 'x' is given as,
x = 23 + 21
x = 44
The equations are x + y = 67 and x = y + 21. Then the two numbers are 44 and 23.
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one bag of toy animals weigh12 ounces. what is the total weight, in ounces, of the bags of toy animals in one crate
What is the name of the line of reflection for the pair of figures?
which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3
Pepper Jackie has 12 picks. 1 out of every 4 picks is orange . The rest are green. How many picks are orange?
find the area of an equilateral triangle (regular 3-gon) with the given measurement 9-inch A=sq. in.
Verify the identity. Show your work. (1 + tan^2u)(1 - sin^2u) = 1
if 10/4 = 14/x what is x?
The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the rhombus? Explain how you found your answer.
How do you find the perimeter of a tennis court with an area of 7,200?
Zakir loans Panji $20,000 for one year at 8% simple interest. Three months later, Zakir sells the note to Ben at a simple discount rate of 7 3/4%. How much does Ben pay for the note?
Nancy has nine books and she has read 8 total books Sally has two times more books the Nancy how many books does Sally have
Sally has 18 books, as she has two times more books than Nancy, who has 9 books. The equation used is Sally's books = 2 × Nancy's books. Therefore, 2 × 9 = 18.
To determine how many books Sally has, we need to understand that she has two times more books than Nancy. Nancy has a total of 9 books.
The equation we use here is:
Sally's books = 2 × Nancy's booksGiven Nancy's books = 9:
Sally's books = 2 × 9 = 18Therefore, Sally has 18 books.
The perimeter of parallelogram ABCD is equal to 10 cm. Find the length of diagonal
BD if you know that the perimeter of triangle ABD is 8 cm.
how do you solve it??? thanks
What is an atom? GIVING BRAINLIEST 30 POINTS PLEASE HELP
Question 1 options:
an indivisible particle
one of the three particles that make up all matter
an element without an electrical charge
the basic particle that makes up matter
Question 2 (1 point) Question 2 Unsaved
What is a neutron?
Question 2 options:
a subatomic particle with no electric charge, found in the electron cloud
a subatomic particle with no electric charge, found in the nucleus of an atom
a subatomic particle with no electric charge, found in the neutron cloud
a subatomic particle with either a positive or negative electric charge, found in the nucleus of an atom
Question 3 (1 point) Question 3 Unsaved
What is a proton?
Question 3 options:
a subatomic particle with a -1 negative electric charge, found in the proton cloud
a subatomic particle with a +1 positive electric charge, found in the nucleus of an atom
a subatomic particle with a -1 negative electric charge, found in the nucleus of an atom
a subatomic particle with a +1 positive electric charge, found in the proton cloud
Question 4 (1 point) Question 4 Unsaved
What is an electron?
Question 4 options:
a subatomic particle with a +1 positive electric charge, found in the electron cloud
a subatomic particle with a -1 negative electric charge, found in the nucleus of the atom
a subatomic particle with a +1 positive electric charge, found anywhere in an atom
a subatomic particle with a -1 negative electric charge, found in the electron cloud
Question 5 (1 point) Question 5 Unsaved
What is an electron cloud?
Question 5 options:
the area surrounded by the nucleus of an atom, where electrons and neutrons can be found
the area that surrounds the nucleus of an atom, where electrons can be found
the area that surrounds the nucleus of an atom, where electrons and neutrons can be found
the area surrounded by the nucleus of an atom, where electrons can be found
Question 6 (1 point) Question 6 Unsaved
What is an ion?
Question 6 options:
an atom with either more or fewer electrons than protons, giving the atom either a positive or negative charge
an atom with either more or fewer neutrons than protons, giving the atom a different atomic mass
an atom with either more or fewer electrons than protons, giving the atom a significantly different atomic mass
an atom with either more or fewer neutrons than protons, giving the atom either a positive or negative charge
Question 7 (1 point) Question 7 Unsaved
What are isotopes?
Question 7 options:
atoms of the same element that have different atomic masses because they have different numbers of protons
atoms of the same element that have different atomic masses because they have different number of electrons
atoms of the same element that have different electric charges because they have different numbers of neutrons
atoms of the same element that have different atomic masses because they have different numbers of neutrons
Question 8 (1 point) Question 8 Unsaved
Which statement is FALSE?
Question 8 options:
An ion can be either positively or negatively charged
Isotopes are caused by different numbers of neutrons in the electron cloud
Question 9 (1 point) Question 9 Unsaved
Look at the timeline below. What is missing from the timeline?
Question 9 options:
1913 CE: Bohr proposed that electrons can change their orbit with a change of energy. He calls the orbits valence shells.
Question 10 (1 point) Question 10 Unsaved
What is the overall charge of an atom’s nucleus?
Question 10 options:
positive
neutral
negative
It depends on how many protons are in the nucleus.
It depends on how many neutrons are in the nucleus.
Question 11 (1 point) Question 11 Unsaved
Where is most of the mass in an atom?
Question 11 options:
electrons
nucleus
electron cloud
protons
neutrons
Answer:
1. Option 4
2. Option 2
3. Option 2
4. Option 4 (not completely sure)
5. Option 2
6. Option 1 (not completely sure)
7. Option 4
8. Isotopes are caused by different numbers of neutrons in the electron cloud
9. Not sure of the question
10. Positive charge
11. nucleus
Step-by-step explanation:
Give the guy above me brainliest.
What is BP? Enter your answer as a decimal in the box
A triangle has side lengths of 14 cm, 48 cm, and 55 cm.
In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians. What is the arc length? Use 3.14 for π . Enter your answer as a decimal in the box.
Answer:
[tex]Arc length=32.97m[/tex]
Step-by-step explanation:
It is given that In a circle with a radius of 6 m, an arc is intercepted by a central angle of [tex]\frac{7\pi}{4}[/tex] radians.
Then, the arclength of the circle is given as:
[tex]Arc length=radius{\times}central angle[/tex]
⇒[tex]Arc length=6{\times}\frac{7\pi}{4}[/tex]
⇒[tex]Arc length=\frac{21\pi}{2}[/tex]
⇒[tex]Arc length=10.5{\times}3.14[/tex]
⇒[tex]Arc length=32.97m[/tex]
Thus, the arc length of the given circle is 32.97m.
Bob traveled 90 miles which was 250/3 % of his trip. How many miles did he still have to travel?
Answer:
18
Step-by-step explanation:
[tex]90[/tex] ÷ [tex]\frac{250}{3} = 1.08[/tex]
This is 1% of the trip
[tex]1.08[/tex] · [tex]100 = 108[/tex]
This is the amount of the whole trip
[tex]108 - 90 = 18[/tex]
So the answer is he has to 18 more miles to travel.
Find the midpoint of side EF. Figure EFGH is shown. E is at negative 2, 3. F is at 1, 6. G is at 4, 3. H is at 1, 0. (−1, 4) (−0.75, 4.25) (−0.5, 4.5) (−0.25, 4.75)
Hence, the mid-point of side EF is located at:
(-0.5,4.5)
Step-by-step explanation:We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:
[tex]e=\dfrac{a+c}{2},\ f=\dfrac{b+d}{2}[/tex]
Here we have to find the mid-point of side EF.
E(-2,3) i.e. (a,b)=(2,3)
and F(1,6) i.e. (c,d)=(1,6)
Hence, the coordinate of midpoint of EF is:
[tex]e=\dfrac{-2+1}{2}\ ,\ f=\dfrac{3+6}{2}\\\\\\e=\dfrac{-1}{2}\ ,\ f=\dfrac{9}{2}\\\\\\e=-0.5\ ,\ f=4.5[/tex]
Hence, the mid-point of side EF is:
(-0.5,4.5)
Using synthetic division, find (x4 − 2) ÷ (x + 1).
Answer:
Step-by-step explanation:
We have given:
x^4-2/x+1
Put x+1 = 0
x= 0-1
x= -1
-1 | 1 0 0 0 -2
| -1 1 -1 1
_______________
1 -1 1 -1 -1
Thus it makes the expression:
x^3-x^2+x-1 - 1/x+1
You can further confirm this expression by solving the expression:
(x4 − 2) ÷ (x + 1).
x^4 - 1 -1/x+1
x^4-1/x+1 - 1/x+1
(x^2-1) (x^2+1)/x+1 - 1/x+1
(x-1)(x+1) (x^2+1)/x+1 - 1/x+1
x+1 n the numerator will be cancelled out by x+1 in the denominator.
(x-1) (x^2+1) - 1/x+1
Multiply (x^2+1) by x-1
x(x^2+1) -1(x^2+1) - 1/x+1
x^3+x-x^2-1 - 1/x+1
x^3-x^2+x-1 - 1/x+1 ....
the sum of two integers is 9 and the sum of their squares is 53. Find the integers.
Solve for x. x − 4 1/6 = 9 1/3 A) −131 2 B) −51 6 C) 131 2 D) 51 6
at halloween 3/10 of the candy robin receivd was chocolate. what percent of candy was chocolate,
PLEASE HELP ME!!!!!!!
The prices of six different types of cell phones, in dollars are 49, 189, 79, 250,125,85. how many data points are closer ti the center than the mean absolute deviation?
Experts/ace/geniuses helpp
mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. Drag carrots and potatoes into the box to show how many Mark needs for 15 servings.
Answer:
10 carrots and 5 potatoes
Step-by-step explanation:
If 6 servings uses 4 carrots and 2 potatoes we can determine how many carrots and potatoes must be used per serving.
Lets look at the carrots:
[tex]=4/6=0.67[/tex]
Therefore for 15 servings:
[tex]=0.67×15=10.05≈10[/tex]
Lets look at potatoes:
[tex]=2/6=0.33[/tex]
Therefore for 15 servings:
[tex]=0.33×15=4.95≈[/tex]
Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is shown below.
mc011-1.jpg
What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
The solution of the equation [tex]-x^2+2x+3=x^2-2x+3[/tex] are the x-coordinates of common points on the graphs of the function [tex]y=-x^2+2x+3[/tex] and [tex]y=x^2-2x+3.[/tex]
As you can see from the attached diagram these graphs intersect at points (0,3) and (2,3), then the solutions of the previous equation are x=0 and x=2.
Answer: x=0, x=2.
What are the solutions to the equation √ ̅5x + 1 = x + 1?