Answer:
-3, -0.03, 0.003, 0.03, 3.0, 30
Step-by-step explanation:
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1. Introduction to frequency distributions Which of the following phrases correctly complete the sentence “A frequency distribution....”? Check all that apply. is a graphical presentation of original data in a histogram. is a distribution in which the values of the variable are tabled or plotted against their frequency of occurrence. is used to display summary statistics such as means and standard deviations. is often a first step of organizing the data into a logical order. You are assigned to a study group of eight students. As a “getting to know you” exercise, you each identify the season of your birth. The following are the responses of the students in your group: fall winter spring summer fall winter spring fall Organize the responses by completing the following frequency distribution table: Frequency Distribution Table for Birth Season Birth Season Number of Students Spring Summer Fall Winter
A frequency distribution is a distribution in which the values of the variable are tabled or plotted against their frequency of occurrence and is often a first step of organizing the data into a logical order. .
How to determine the correct definition of the frequency distribution?As a general rule:
A frequency distribution is in form of a tableIt is used to organize data in logical order or in groupsAn example of a frequency table is
Commute time Frequency
1 - 15 10
16 - 30 18
31 - 45 11
46 - 60 5
61 - 75 0
76 - 90 1
By comparing the above highlights to the given definitions, we have the correct options to be:
A distribution in which the values of the variable are tabled or plotted against their frequency of occurrenceIt is often a first step of organizing the data into a logical order.Read more about frequency distribution at
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Find the domain
Please help
Answer:
number. 3 hope this helps
what is the reciprocal of 4/7
The reciprocal of 4/7 is 7/4
Solve for x:
8x – 10 = 4x –30
Answer:
X=-5
Step-by-step explanation:
Answer:
x = −5
Step-by-step explanation:
8x – 10 = 4x –30
-4x -4x
4x - 10 = -30
+10 +10
4x = -20
/4 /4
x = -5
A side of the triangle below has been extended to form an exterior angle of 128. Find the value of x.
Answer:
52°
Step-by-step explanation:
Linear pair: If the non-common arms of two adjacent angles from a line, then they are called linear pair and they add up to 180.
x + 128 = 180 {linear pair}
x = 180 - 128
x = 52°
what is 28 divided by 4?
Answer: 7
Step-by-step explanation:
7•4=28 therefor 28\4= 7
Tommy was trying to solve the system of a linear equation and a quadratic equation shown below. 2x – y = –1 x2 – 5x – y = –7 Tommy had completed the following steps in his algebraic solution process but could not factor the resulting quadratic, x2 – 7x – 1, to complete the problem. Step I: y = 2x + 1 Step II: x2 – 5x – (2x + 1) = –7 Step III: x2 – 5x – 2x – 1 = –7 Step IV: x2 – 7x – 1 = –7 Determine the step in which Tommy made his mistake and justify your reasoning.
Answer:
Step IV; Tommy must set the quadratic expression equal to 0 before factoring.
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It is found that in Step IV; Tommy must set the quadratic equations equal to 0 before factoring and then solving.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given that the system of a linear equation and a quadratic equation.
2x – y = –1
x² – 5x – y = –7
Now Tommy had completed the following steps in his algebraic solution process but could not factor the resulting quadratic equation as;
x² – 7x – 1,
Step I: y = 2x + 1
Step II: x² – 5x – (2x + 1) = –7
Step III: x² – 5x – 2x – 1 = –7
Step IV: x² – 7x – 1 = –7
Therefore, we conclude that in Step IV; Tommy must set the quadratic equations equal to 0 before factoring and then solving.
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what is the discriminant of the polynomial below 4x^2 +4x + 1
The value of the discriminant of the given quadratic equation is 0.
What is a Discriminant?The part in the formula of a quadratic equation that helps us to know the nature of the roots of a quadratic equation is known as a discriminant.
D = b² - 4ac,
If the value of the discriminant is greater than zero then the roots of the equation are real and distinct,If the value of the discriminant is equal to zero then the roots of the equation are real and same, andIf the value of the discriminant is less than zero then the roots of the equation are imaginary.Given the quadratic equation 4x² +4x + 1, if this equation is compared with the general quadratic equation. Then the value of the variables can be written as,
a = 4
b = 4
c = 1
Now, the value of the discriminant of the equation can be written as,
D = b² - 4ac
= (4)² - 4(4)(1)
= 16 - 16
= 0
Hence, the value of the discriminant of the given quadratic equation is 0.
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first step in solving the equation 4x -8=7
i need help with this badddddddddd
Answer:
She forgot to add the zero when she multiplied 27 x 50
Step-by-step explanation:
If you need one ask me I can try my best to explain
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There were 8 roses in the vase. Jessica cut some more roses from her flower garden and put them in her vase. There are now 13 roses in the vase. Write an equation for how many roses did she cut ?
Answer:
8+x=13
Step-by-step explanation:
Answer:
13-8=r
r=roses she cut
Step-by-step explanation:
you take away how many roses there were in the begining from the amount she started with and you get r (the amount of roses she cut).
Jenna's class brought in 40 pieces of fruit for a celebration and 18 pieces of fruit were eaten. What percentage of the fruit was NOT eaten?
Answer:
e
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
40 - 18 = 22
22/40= 55%
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Using the definition f'(x) = lim f(x+h)-f(x)
h→0.
h
find f'(x) when f(x) =
-2/2x-3
Answer:
Step-by-step explanation:
We will apply the definition of the derivative. Then we use algebra to expand and simplify the numerator. Next, we can cancel a factor of
h
in the numerator and denominator since
h
is approaching zero but not actually equal to zero. Finally, we can simply substitute zero for
h
to evaluate the limit.
f
′
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
=
lim
h
→
0
(
x
+
h
)
2
−
2
(
x
+
h
)
+
3
−
(
x
2
−
2
x
+
3
)
h
=
lim
h
→
0
2
x
h
−
2
h
+
h
2
h
=
lim
h
→
0
2
x
−
2
+
h
=
2
x
−
Norman makes $15 commission for selling $200 in merchandise. He makes $37.50 commission for selling $500 in merchandise. Assuming that the variables are directly related and Norman wants to make $150 in commission, what is the total value of merchandise he needs to sell?
$335.00
$612.50
$2,000.00
$5,000.00
In a diagram of a landscape plan, the scale is 5 cm = 12 ft. In the diagram, the
trees are 9 centimeters apart. How far apart should the actual trees be planted?
Answer:
21.6 feet.
Step-by-step explanation:
By proportion that is (9/5) * 12
= 1.8 * 12
= 21.6 feet.
Which of the following are not polynomials?
Answer:
A
C
and
D
Step-by-step explanation:
4/5 + 3/15 - 2/3 please
Answer:
1/3
Step-by-step explanation:
4/5 + 3/15
We first find a common denominator which will be 15.
Multiplying the top and bottom of 4/5, we have 12/15
12/15 + 3/15 = 15/15 = 1
1 - 2/3 is 1/3
Please help me explain this
Rewrite a number in a base other than ten
Add two or three numbers in a base other than ten
Subtract two numbers in a base other than ten
Why do we learn to work with numbers in different bases?
Explanation:
You want a tutorial and a rationale for writing numbers and doing arithmetic in bases other than 10.
A. Rewrite a numberFor integers, an easy way to write a number in a different base is to repeatedly divide by the desired base, and list the remainders right to left.
Example 1: convert 67 to base 3:
67÷3 = 22 r 122÷3 = 7 r 17÷3 = 2 r 12÷3 = 0 r 267₁₀ = 2111₃
Example 2: convert 44 to base 3:
44÷3 = 14 r 214÷3 = 4 r 24÷3 = 1 r 11÷3 = 0 r 144₁₀ = 1122₃
B. Add two numbersThe usual rules of addition apply. A sum of two digits that equals or exceeds the value of the base causes a carry to the next digit to the left. (It can be convenient to write the carries on a separate line.)
In the first attachment, the sum of the two numbers above is developed in base 3. The relevant addition facts for base 3 are ...
1+1 = 21+2 = 102+2 = 11Of course, zero (0) is still the additive identity element.
C. Subtract two numbersThe usual rules of subtraction apply. When a larger digit is subtracted from a smaller one, a "borrow" is indicated from the digit immediately to the left. The relevant subtraction facts for base 3 are ...
0 - 2 = 1 (borrow 1)0 - 1 = 2 (borrow 1)1 - 2 = 2 (borrow 1)1 - 1 = 02 - 2 = 02 - 1 = 1Example: 67 -44 = 23, done in base 3
For subtraction of a smaller number from a larger one, it can work well to do the computation left to right:
2111 -1122 = ...
4th digit: 2 - 1 = 1
3rd digit: 1 - 1 = 0
2nd digit: 1 - 2 = 2 (borrow 1 from 3rd digit: 0 - 1 = 2, borrow 1 from 4th digit: 1 - 1 = 0). The difference is now 0 2 2 x
1st digit: 1 - 2 = 2 (borrow 1 from 2nd digit: 2 - 1 = 1). The difference is now ...
2111 -1122 = 0212, done in base 3
D. RationaleConsider the expanded forms of the sum and difference numbers in base 3:
11010₃ = 1×3⁴ +1×3³ +0×3² +1×3¹ +0×3⁰ = 81 +27 +3 = 111₁₀ (67+44=111)
212₃ = 2×3² +1×3¹ +2×3⁰ = 18 +3 +2 = 23₁₀ (67-44=23)
These forms clearly show the place value of a digit position is given by the corresponding power of the number base. You see this when you write base-10 numbers in expanded form. The point is driven home by working with numbers in other bases.
In short, working with numbers in other bases gives you a better understanding of place value.
__
Additional comment
Fractions can be converted to a different base by multiplying the fraction by the base, then using the integer digit as the next digit to the right.
Consider 5/9 in base 3:
5/9 × 3 = 1 2/32/3 × 3 = 2Then 5/9 in base 3 is 0.12
As with base 10, any fraction that cannot be written using a power of the base as its denominator will have a repeating fractional part. For example, ...
1/10 = 0.00220022...(4-digit repeat) in base 3
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors?
320 minus 7.50 p
320 + 7.50 p
7.50 p minus 320
7.50 p + 320
Answer:
320 minus 7.50 p
Explanation:
the florist earned 320 dollars and then lost money due to having a competitor deliver, since we dont know the amount of people who chose competitors we use the term p next to the amount that p is worth because each time a customer uses a competitor it costs 7.50 out of the original 320.
-3.1x +6x = 2+3z+8-10
=
Answer:
_
z=96x
(line on top of the nine)
Step-by-step explanation:
Given m n, find the value of x and y.
The value of x and y from the given parallel lines are 140° and 40° respectively.
Given that, straight line m parallel to straight line n and t is the transversal.
Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
Here, y°+140°=180° (Adjacent angles on straight line)
y°=40°
y°+z°=180° (Allied angles adds upto 180°)
40°+z°=180°
z°=140°
Now, x=140° (Vertically opposite angles are equal)
Therefore, the value of x and y from the given parallel lines are 140° and 40° respectively.
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Two bags contain coloured cubes.
Bag 1 has 2 green cubes and 1 yellow cube.
Bag 2 has 3 green cubes and 1 yellow cube.
Determine each probability if you choose 2 cubes from Bag 1 without returning the first cube and 1 cube from Bag 2. What's the probability of getting all three cubes are the same colour.
The required probability would be 0.57, representing getting all three cubes are the same color.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Bag 1 contains 1 yellow and 2 green cubes.
Bag 2 contains 1 yellow and 3 green cubes.
Seven cubes total would be present.
You select one cube from Bag 2 and two cubes from Bag 1 without returning the first cube.
As per the condition,
So the probability of getting all three cubes are the same color would be
⇒ (³c₂ × ⁴c₁) / ⁷c₂
⇒ (3 × 4) / 21
⇒ 12 / 21
⇒ 0.57
Therefore, the probability would be 0.57, representing getting all three cubes are the same color.
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Find the difference. 862 - 316.87
Answer: 545.13
Step-by-step explanation:
Answer:
the first one is a whole number and the other one is a decimal number
thank me later
Step-by-step explanation:
Which one is the answer
Answer:
i think it should be option C.......
[tex]8^{2}=x\\x+12=y\\y-3=n\\n=?[/tex]
Answer:
n = 73
Step-by-step explanation:
—Math8² = x ==> x = 64
x + 12 = y ==> y = 64 + 12 = 76
y – 3 = n ==> n = 76 – 3 = 73
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Solve for x in the following problem Remember to align your variables.
5x + 2y = 12
-3x = 10 + 2y
Answer:
x= [tex]\frac{12}{5}[/tex]-[tex]\frac{2y}{5}[/tex]
x=[tex]-\frac{10}{3}[/tex]-[tex]\frac{2y}{3}[/tex]
Please answer this as quick as you can
Answer:
B is correct because there cannot be negative people in a cafeteria.
Step-by-step explanation:
(x + 4)(x − 12) = 0 can someone help me with this
Answer:
You chose the correct option on the picture
x = -4; x = 12
Step-by-step explanation:
You solve for x by simplifying both sides of the equation, then isolating the variable.
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x + 4 = 0
x − 12 = 0
Set x + 4 equal to 0 and solve for x.
Set x+4 equal to 0.
x+4=0
Subtract 4 from both sides of the equation.
x = −4
Set x − 12 equal to 0 and solve for x.
Set x−12 equal to 0.
x−12=0
Add 12 to both sides of the equation.
x=12
The final solution is all the values that make (x+4)(x−12)=0 true.
x=−4,12
Sorry for taking a while but have a good day
Guys anyone please help . Please explain how to solve these questions it gives the answers but I need expiation (Calculus) ,I’ll give brainliest for the correct answer ! Pleasseee
9514 1404 393
Answer:
(ii) center: (-3, 6)
(iii) A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)
(iv) (x +3)²/100 +(y -6)²/51 = 1
Step-by-step explanation:
(ii) The center is the midpoint between the foci:
center = ((-10, 6) +(4, 6))/2 = (-10+4, 6+6)/2
center = (-3, 6)
__
(iii) The vertices are the center plus or minus the semi-major axis length in the x-direction: (-3±10, 6).
The semi-minor axis length is the root of the difference of squares of the semi-major axis and the center-focus distance:
semi-minor axis = √(10² -7²)
semi-minor axis = √51
So, the co-vertices are the center plus or minus this value in the y-direction: (-3, 6±√51)
Using the labeling in the drawing the various points are ...
A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)
__
(iv) For center (h, k) and semi-axis lengths 'a' and 'b' the equation of an ellipse is ...
(x -h)²/a² +(y -k)²/b² = 1
For the center and axes here, the equation is ...
(x +3)²/100 +(y -6)²/51 = 1