Answer:
The answer is Isosceles Triangle.
Fill in the blank. Fill in the blank with the appropriate value. The class width of a frequency distribution with a first class of 10-19 and a second class of 20 29 is 9 29. 5 10
The class width of a frequency distribution is the difference between the upper class limit of a class and the lower class limit of the same class. In other words, it represents the range of data values included in a particular class.
For example, suppose we have a frequency distribution with the following classes: 0-9, 10-19, 20-29, 30-39, and 40-49.
The class width of this frequency distribution would be the same for all classes and would be equal to 10. This is because the upper class limit of each class is 9, 19, 29, 39, and 49, respectively, and the lower class limit of each class is 0, 10, 20, 30, and 40, respectively. Therefore, the difference between the upper class limit and lower class limit for each class is 9, 9, 9, 9, and 9, respectively, giving a class width of 10.
In the given problem, the first class is 10-19 and the second class is 20-29. Therefore, the lower class limit of the first class is 10 and the upper class limit of the second class is 29.
Therefore, the class width is the difference between the upper class limit of the second class (29) and the lower class limit of the first class (10), which is equal to 29 - 10 = 19.
So the correct answer is 19.
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is 2.67034165508… rational or unrational?
Solve for r.
−88=11(r−6)
Enter your answer in the box.
r =
Answer:
r=-2
Step-by-step explanation:
\(-88=11(r-6)\\\frac{-88}{11}=\frac{11(r-6)}{11}\\-8=r-6\\-8+6=r-6+6\\r=-2\)
Answer:
r = -2
Step-by-step explanation:
Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Addition
Subtraction
~
First, divide 11 from both sides of the equation:
\(-88 = 11(r - 6)\\\\-\frac{88}{11} = \frac{ [11(r-6)]}{11}\\\\-8 = r - 6\)
Next, isolate the variable, r. Add 6 to both sides of the equation:
\(-8 = r - 6\\-8 (+6) = r - 6 (+6)\\r = -8 + 6\\r = -2\)
r = -2 is your answer.
~
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Find the zeroes of the quadratic polynomial given below. find the sum and products of the zeroes and verify relationship of terms in the polynomial.
2. P of x = x square _4x+3
• P(x) = x² - 4x +3
To find :• The zeroes of the quadratic polynomial .
• To verify the relationship .
Solution :•x² - 4x + 3 = 0
Split the middle term :
=> x² - 3x - x + 3 = 0
=> x ( x - 3) - 1 ( x - 3 ) = 0
=> (x - 1)( x - 3 ) = 0
• x - 1 = 0
=> x = 1 .
• x - 3 = 0
=> x = 3 .
Hence , the zeroes are 1 and 3 .
Now , verification :• x² - 4x +3 .
compare with ax² + bx + c we get ,
• a = 1 , b = -4 and c = 3 .
As we know that :
• Sum of Zeroes = -b/a
=> 1 + 3 = -(-4)/1
=> 4 = 4
LHS = RHS .
NOW ,
• Product of Zeroes = c/a
=> 1(3)= 3/1
=> 3 = 3
LHS = RHS .
Hence, Verified .
I hope it will help you.
Regards
A cylindrical candle with a radius of 3 centimeters and a height of 8 centimeters has a mass of 300 grams.
Another candle made out of the same wax is formed into a cone. The diameter of the base of the cone is 4 centimeters and the height of the cone is 12 centimeters. What is the mass of the cone candle?
The mass of the cone candle is volume of empty space = 0.15 cm
What is the mass of the container?The property of a body that is a measure of its inertia and that is commonly taken as a measure of the amount of material it contains and causes it to have weight in a gravitational field
volume of empty space = volume of the cylinder - volume of water
First, we need to calculate the volume of the container
The volume of a cylinder = πr²h
where r = radius of the container and
h is the height of the container
r = 3cm and h = 8 cm
π is a constant which is ≈ 3.14
volume of a cylinder = πr²h
=3.14 × 3²×8
=3.14×9×8
=226.08 cm³
We will proceed to find the volume of water
since liquid will take the shape of its container,
then volume of water = πr²h
r is the radius of the container and h is the height of the water
r = 2cm and h = 12cm
volume of water = πr²h
= 3.14 ×2²×12
=3.14×4×12
=75.56 cm³
volume of empty space = volume of the cylinder - volume of water
=226.08 cm³ - 75.56 cm³ cm³
= 150.52 cm³
Mass = Volume/1000
Mass = 150.52/1000 = 0.15052g
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Tonya wants to estimate what proportion of her school's seniors plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom. Identify the population and parameter of interest.
If Tonya interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to prom, the population and the parameter of interest are 750 and 36/750 respectively.
To find the population and the parameter of interest:
Tonya wants to estimate what proportion of her school's seniors plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom. In this problem, the population is the group of seniors in Tonya's school. There are 750 seniors in her school, but only 50 were interviewed. Therefore, the population is all 750 seniors in the school. The parameter of interest is the proportion of all seniors in the school that plan to attend the prom. We are given that Tonya found 36 seniors in her SRS of 50 who plan to go to the prom. Therefore, the proportion of all seniors in the school that plan to attend the prom is 36/750.Hence, the population and the parameter of interest are 750 and 36/750 respectively.
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27 points please help me out which are equivalent
Answer:
a)
\(8(x + 5)\)
b)
\(13y + 10\)
Step-by-step explanation:
Hope it helps you<3Answer:
(a) 1st, 2nd
(b) 4th
Step-by-step explanation:
(a) Option 1: Expanding with the distributive property, we have
\(8(x+5)=8x+8\cdot 5\\~~~~~~~~~~~~=8x+40,\)
which is equivalent.
Option 2: Multiplying the terms gives
\(8\cdot x+8\cdot 5= 8x+40\),
which is equivalent.
Option 3: We don't know what x is, so there is no way to write \(48x\) as \(8x+40\). This is not equivalent.
Option 4: Expanding with the distributive property gives
\(8(5x+1) = 8\cdot 5x+8\cdot1\\~~~~~~~~~~~~~=40x+8,\)
which is not equivalent.
(b) First, we combine like terms in the given expression:
\(12+14y-2-y=12-2+14y-y\\~~~~~~~~~~~~~~~~~~~~~~~=10+(14-1)y\\~~~~~~~~~~~~~~~~~~~~~~~=10+13y.\)
Looking at the given answer choices, only the fourth option is equivalent.
Of the 38 students in the club, 20 were boys. What was the ratio of girls to boys in the club?
Answer:
ratio of boys to girls is
20 : 18
or
10 : 9
Step-by-step explanation:
helppp asap Given:
Prove: ΔKVM ~ ΔBVG
Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.
angle M and G are both 90° , this means they are equal.
angle KVM = BVG
therefore angle K = angle B
Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG
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Dakota and her friends are celebrating Dakota's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade. Dakota's mom gives 18 arcade tokens to each kid at the party. In all, she gives out 144 tokens.
Use an equation to find the number of kids at Dakota's party.
Answer:
There were 8 kids at the party.
Step-by-step explanation:
144/18 = 8
8 X 18 = 144
There were 8 kids at the party.
Have a great day!
Please rate!
HELPPP PLEASE ASAP!!!!!!!!
Answer:
x=6
Step-by-step explanation:
i assume these are similar triangles so we can set them up as fractions
x/9=4/x
cross multiply
9(4)=x(x)
36=x^2
√. √
6=x
and now we can check if each have the same ratio
6/9= 4/6
2/3=2/3
hopes this helps please mark brainliest
after being nominated for an mtv music award, the probability of winning is 25%. if ariana grande has been nominated for five awards, what is the chance that she will win at least one award? how many awards should she expect to win? what is the standard deviation associated with this probability?
The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.
If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.
As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.
Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.
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Please help me. I will marks as Brainly if correct
1.70p−0.34q 0.17(q 1)−0.85(p−1) =0 =0 consider the system of equations above. how many (p, q)(p,q)left parenthesis, p, comma, q, right parenthesis solutions does this system have?
The system has exactly one solution, which is (p, q) = (-0.2118, -8.0).
We are given the system of equations:
1.7p - 0.34q = 0
0.17(q+1) - 0.85(p-1) = 0
We can simplify the second equation by distributing the 0.17 and 0.85 terms:
0.17q + 0.17 - 0.85p + 0.85 = 0
0.17q - 0.85p = -0.72
Now we have two equations in two variables, which we can solve using substitution or elimination. We will use elimination here.
Multiplying the first equation by 5, we get:
8.5p - 1.7q = 0
Multiplying the second equation by 2, we get:
0.34q - 1.7p = -1.44
Adding these two equations, we get:
6.8p = -1.44
p = -0.2118
Substituting this value of p into either of the original equations, we get:
1.7(-0.2118) - 0.34q = 0
q = -8.0
So the system has exactly one solution, which is (p, q) = (-0.2118, -8.0).
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Perform the indicated operation. Express answer in scientific notation. (4×10−3)÷(5×105)8×10−88×10−70.8×1028×10−9
The final answer for the expression is 3.2 × 10⁻⁴.
We can write the given expression as below:
(4×10−3)÷(5×105)8×10−88×10−70.8×1028×10−9 = (4/5) × (10⁻³ / 10⁵) × (8 / 8) × (10⁻⁸ / 10⁻⁷) × (0.8 × 10¹⁰ / 10⁻⁹)
On solving, we get
(4/5) × (10⁻³ / 10⁵) × (8 / 8) × (10⁻⁸ / 10⁻⁷) × (0.8 × 10¹⁰ / 10⁻⁹) = 0.00032
= 3.2 × 10⁻⁴
Hence, the final answer is 3.2 × 10⁻⁴.
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Aaron is baking cookies. The recipe uses 2 cups of flour to make 30 cookies. If Aaron wants to make 40 cookies, how many cups of flour should he use
plz answer asap.
Step-by-step explanation:
30 cookies = 2 cups
1 cookie = 2/30 cups = 1/15 cups
40 cookies = 1/15 × 40 = 8/3 cups
–42t + 80t + –59t − –97 = –29
Answer:
The answer is t= -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hoped this helped!
Could I perhaps get brainly, please?
PLEASE HELP ASAP! WILL GIVE BRAINLIEST! The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part.
Answer:
Solution:- In the given figure
Side of square= 10 cm
area of square = side x side m= 10 x 10 = 100 sq cm
Now , diameter of semi circle AOD = 2r = 10cm
⇒ radius of semi circle AOD = 5 cm
∴ area of AOD =
similarly Area of semicircle BOC =
Area of white portion in figure 1 = area of square - [ area of semicircle BOD + area of semicircle AOD]
=
Total area of white portion in the given figure=
∴Area of Shaded portion = area of square - area of total white portion
=
So the area of shaded portion is
Now perimeter of AD(which is a semicircle) = (as perimeter of semicircle=πr)
So the perimeter of shaded region = 4×perimeter of AD=4×15.7=62.8cm
Step-by-step explanation:
IQ scores are normally distributed with a
mean of 100 and a standard deviation of
15. What percentage of people have an IQ
score less than 117, to the nearest tenth?
Answer: To find the percentage of people with an IQ score less than 117, we need to calculate the z-score first. The z-score measures how many standard deviations an individual score is from the mean in a normal distribution.
The z-score formula is given by:
z = (x - μ) / σ
Where:
x = IQ score (117 in this case)μ = mean IQ score (100)σ = standard deviation (15)
Let's calculate the z-score:
z = (117 - 100) / 15z = 17 / 15z ≈ 1.1333
Now, we need to find the percentage of people with a z-score less than 1.1333. We can look up this value in the standard normal distribution table (also known as the Z-table) or use statistical software/tools.
Using the Z-table, we find that the percentage of people with a z-score less than 1.1333 is approximately 0.8708, or 87.08% (rounded to the nearest hundredth).
Therefore, approximately 87.1% of people have an IQ score less than 117.
At the movie theatre, child admission is $5.30 and adult admission is $8.70. On Saturday, 163 tickets were sold for a total sales of $1169.90. How many child tickets were sold that day?
The number of child tickets were sold that day are 73.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Cost of child admission= $5.30
Cost of adult admission= $8.70
Now,
Let's assume that "c" represents the number of child tickets sold, and "a" represents the number of adult tickets sold. We can create two equations based on the given information:
c + a = 163 (equation 1: the total number of tickets sold)
5.30c + 8.70a = 1169.90 (equation 2: the total sales)
We can use equation 1 to solve for "a" in terms of "c":
a = 163 - c
Substituting this expression for "a" into equation 2, we get:
5.30c + 8.70(163 - c) = 1169.90
Simplifying and solving for "c", we get:
5.30c + 1418.10 - 8.70c = 1169.90
-3.4c = -248.20
c = 73
Therefore, by algebra the answer will be 73.
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Sally graphs a system of inequalities as shown below:
Step-by-step explanation:
first inequality :
x + 2y ≥ 10
second inequality :
x - y ≤ -2
how many integers must you pick in order to be sure that at least two of them have the same remainder when divided by 14?
Because of this, we need to choose 15 integers in such a way that we can ensure that when they are divided by 14, at least two of them will provide the same residual.
In order to be sure that at least two of them have the same remainder when divided by 14.
Generally, If you divide a number by 14, the result is a fraction. There are 14 remainders that might occur, and they are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and, 13.
So if we pick a number and divide it by 14, the remainder can be one of 14 (0 memory 13). So if we select 14 numbers, we have the option to select 14 unique memories ranging from 0 to 13.
Finally, if we choose another integer, we will have the same reminders according to the drawer principle, because there are only 14 reminders and 15 > 14.
Therefore, we should choose the number of 15 so that at least two numbers have the same remainder when divided by 14.
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Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches
Answer:
V = πr²(h/3)
Step-by-step explanation:
83.74 = πr²(5/3)
R = 4.00 in
Diamater = 2r = 2 x 4.00 = 8 inches
How many meters are there in 2.5 kilometers? 2.5 km = m 2,500 250 25 20.5
Answer:
2500
Step-by-step explanation:
i calculated it
2.5 Km can be expressed as 2500 in meters.
To convert from kilometers to meters,
The conversion factor for kilometers to meters is
1 kilometer = 1000 meters.
Given that we want to convert 2.5 kilometers to meters, we can use the conversion factor:
2.5 km x 1000 meters/kilometer
= 2500 meters
So, there are 2500 meters in 2.5 kilometers.
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compute 1240.64/12.5. round the answer appropriately.
The result of dividing 1240.64 by 12.5 and rounding appropriately is 99.
To compute the division of 1240.64 by 12.5, divide the dividend 1240.64 by the divisor 12.5:
1240.64 ÷ 12.5 = 99.2512
The quotient is 99.2512.
To round the answer appropriately, we need to determine the desired level of accuracy. In this case, we are asked to round the answer appropriately, so we will round to the nearest whole number.
Since the decimal part of the quotient, 0.2512, is less than 0.5, we round down the whole number part, 99, to get the rounded answer:
Rounded Answer: 99
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The required result of 1240.64 divided by 12.5, rounded to two decimal places, is 99.25.
To compute 1240.64 divided by 12.5, we can simply divide the two numbers:
1240.64 / 12.5 = 99.2512
Now, to round the answer appropriately, we need to consider the desired level of precision. If we want to round to two decimal places, we can round the answer to:
99.25
Therefore, the result of 1240.64 divided by 12.5, rounded to two decimal places, is 99.25.
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Plz help I am bad at this
what fraction equals to 4
Answer:
confusing wording... read below ( 12/3 )
Step-by-step explanation:
if you meant adding fractions then the other answer, but if i read it right then 12/3. 12 divided by 3 = 4
Isaac buys a used dirt bike that he pays for in monthly payments. He pays $218.21 each month. If he makes 12 monthly payments, how much does Isaac spend on the dirt bike in all?
Answer:
$2618.52
Step-by-step explanation:
we multiply each monthly payment by the total amount of monthly payments to figure out the overall cost
218.51*12 = 2618.52
? Please answer this question
Convert 4ft 6 inches in ft.
Answer:
find the number of students who obtained more than 70 mark