The area and perimeter of the shape is 4.65cm² and 9.5cm
What is area and perimeter of a triangle?Perimeter of a triangle = a + b +c , where a, b and c are the three different sides of the triangle. Area of a triangle = 1/2 b × h; where b is the base and h is the height of the triangle.
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
Perimeter of the triangle = 3.2+ 2.0+4.3
= 9.5cm
The area of the triangle = ½bh
= 1/2 ×3.1 × 3
= 4.65 cm²
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Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
6. There were 900 sweets in 3 boxes, A, B and C. 18 sweets were transferred from A to B and 5
sweets were transferred from B to c. of the sweets in C were then transferred to A. There were
then an equal number of sweets in all 3 boxes. How many sweets were there in each box at first?
28
Answer: a=168, b=287, c=445
Step-by-step explanation:
Find all the intercepts
Answer:
x = -1, x = 9, x = -3, x = 2, and x = 1.
Step-by-step explanation:
To find this, set up each equation in x + # = 0. Example: x + 1 = 0. To solve this, you would subtract one from both sides. The equation would then be x = -1.
Leo is a barber.
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 25 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Leo charges his customers that day.
60 families from each school in the district were given a survey asking them their primary method of transportation. 65% of the families surveyed said they would need bus transportation. 15% of families surveyed said they would walk to school. 18% of families surveyed said they would use their own transportation (parent drop off). 2% of those surveyed did not respond. What is the sample and what is the population in this scenario?
a) The sample in this scenario is 60 families from each school in the district.
b) The population is the total number of families in the school district.
What is the sample?The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.
The sample of families surveyed = 60 families from each school in the district
The population = the number of families in the school district
The percentage of families surveyed who need bus transportation = 65%
The percentage of families surveyed who would walk to school = 15%
The percentage of families surveyed who would use own transportation = 18%
The percentage of non-respondents = 2%
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Given the following sample: 7, 9, 18, 22, 27, 29, 32, 40
1. Find the range of this data.
2. Find the interquartile range.
3. Compute the variance and the standard deviation of the data. 4. Compute the mean deviation.
5. Compute the median deviation.
The range is 33. The interquartile range is 18. The variance is 187.7143 and the standard deviation is 13.69.
The mean deviation is 7.75. The median deviation is 7.38.
How to find the range, standard deviation and mean deviation ?Range = maximum value - minimum value
Maximum value = 40
Minimum value = 7
Range = 40 - 7 = 33
The median of the lower half is (7 + 9 + 18 + 22)/4 = 14
The median of the entire set is (7 + 9 + 18 + 22 + 27 + 29 + 32 + 40)/8 = 24.5
The median of the upper half is (27 + 29 + 32 + 40)/4 = 32.
So, Q1 = 14 and Q3 = 32.
Interquartile range (IQR) = Q3 - Q1 = 32 - 14 = 18
Mean (μ) = (7 + 9 + 18 + 22 + 27 + 29 + 32 + 40)/8 = 23
Variance (σ^2) = Σ(xi - μ)^2 / (n-1)
= ((7-23)^2 + (9-23)^2 + (18-23)^2 + (22-23)^2 + (27-23)^2 + (29-23)^2 + (32-23)^2 + (40-23)^2) / (8-1)
= 187.7143
Standard deviation (σ) = √(σ^2) = √(187.7143) = 13.69
Mean deviation (MD) = Σ|xi - μ| / n
= (|7-23| + |9-23| + |18-23| + |22-23| + |27-23| + |29-23| + |32-23| + |40-23|) / 8
= 62 / 8
= 7.75
Median deviation = Σ|xi - M| / n
where M is the median.
M = (22 + 27) / 2 = 24.5
Median deviation = (|7-24.5| + |9-24.5| + |18-24.5| + |22-24.5| + |27-24.5| + |29-24.5| + |32-24.5| + |40-24.5|) / 8
= 59 / 8
= 7.38
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Which of the following values is most likely to be the y-intercept of the line of best fit?
Select one:
A) 8
B) -1
C) 5
D) 2
8
its the most centeral point for a y interecpt
8
"The line of best fit is a straight line that minimises the distance between some data. The line of best fit is used to express a relationship in a scatter plot of different data points." - investopedia
the line of best fit in this case would be most probably pass between the middle of the plotted points. we can see the trend is going roughly higher than 5 in the y axis , hence the answer is 8
Ana completed 40% of her math test yesterday. She completed 12 math problems. How many math problems are on her test?
Answer: 30
Step-by-step explanation:
Give the equation of the circle centered at the origin and passing through the point (0, 6).
The equation of circle is x² + y² = 36.
We have,
Center= (0, 0)
Passing point = (0, 6)
We know the equation of circle is
(x-h)² + (y-k)² = r²
where (h, k) be the center and r be the radius.
Now, the radius of circle is
= √(6-0)² + (0-0)²
= √36
= 6 unit
So, the equation of circle
(x-0)² + (y-0)² = 6²
x² + y² = 36
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I need to know if the graph makes sense based on how Naoya shoots, everything is in the photo.
Answer:
Not correct
Step-by-step explanation:
Sample 8 has one free throw, sample 9 has 3 free throw success,
sample 10 has 3 free throw success
sample 11 has 5 free throw success
sample 12 has 5 free throw success
sample 13 has 2 free throw success
sample 14 has 1 free throw success;
See one sample should contain 15 free throw and the probability of success should be 0.7
Let's look at sample 8
Total no of success is 1
Total no of free throws 15
Probability is 1/15 = 1/15 * 100 =6.67%
Similarly you can do so for the others.
how many prime numbers are multiples of 8
There are no prime numbers are multiples of 8. All the multiples of 8 are divided by 2.
What is a prime number?Prime numbers are whole numbers larger than one with only one element the number itself. Prime numbers can only be divided by the number 1 or by themselves.
All the terms that come in the table of 8 are multiples of 8.
8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are the multiples of 8. There are no prime numbers are multiples of 8.
Hence there is no prime numbers multiples of 8.
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I'LL BRAINLIST!!!!
solve each proportional
4/12= y/9
1.2/m= 3/5
y/5= 13/10
5/10= 8/w
Step-by-step explanation:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
Answer:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
Step-by-step explanation:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
What is
3.149
3.149 rounded to the nearest hundredth?
Answer:
3.15
......................................
nine thousand one hundred thirty two in numbers
Answer:
9,132
Step-by-step explanation:
9 in the thousands place
1 In the hundreds place
3 in the tens place
2 in the ones place
Answer:
IT IS 9932
Step-by-step explanation:
Just change the word to number
I need help with this question ???
Answer:
i dont know how many decimals you need but its 5.56
tell me if u want an explanation
Answer:
5.74456264654
Step-by-step explanation:
HEEEEEEEEEEEELLLLLLPPPPPPPPP
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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Please help ASAP thank you
Answer:
A) a = 25
B) b = 14
Step-by-step explanation:
hopefully this helps :)
Solve the following:
\( \\ \sf \: a) \: \: \frac{a}{5} + 3 = 8\)
\( \\ \sf \: b) \: \: \frac{3b}{7} - 1 = 5\)
Solution:-Solving question a) :
\( \\ \sf \frac{a}{5 } + 3 = 8\)
\( \\ \sf \mapsto \frac{a + 15}{5} = 8\)
\( \\ \sf \mapsto \: a + 15 = 8 \times 5\)
\( \\ \sf \mapsto \: a = 40 - 15\)
\( \\ \sf \mapsto \: a = 25\)
\( \\ \sf \therefore \: a = 25\)
Solving question b) :
\( \\ \sf \frac{3b}{7} - 1 = 5\)
\( \\ \sf \mapsto \: \frac{3b - 7}{7} = 5 \)
\( \\ \sf \mapsto3b - 7 = 5 \times 7\)
\( \\ \sf \mapsto3b = 35 + 7\)
\( \\ \sf \mapsto \: b = \frac{42}{3} \)
\( \\ \sf \mapsto \: b = 14\)
\( \\ \sf \therefore \: b = 14\)
Answer:-a = 25
b = 14
Write as a percent 0.011
Answer:
1.1%
Step-by-step explanation:
To convert from percentage to decimal you simply divide by 100 so to convert from decimal to percentage you do the opposite, by multiplying by 11. In doing so, you get 1.1%. Think about it this way, if you wanted 100% of an item, you would basically just be multiplying by 1... which is 100% divided by 100. But if you wanted 50%, you would want half, or other in other words divide it in half, which is the same as multiplying by 0.50 which is 50% divided by 100
In a classroom, 100 plastic fish are in a tub. The tub is hidden from the student view. Some fish are green, and the rest are yellow. The students know that there are 100 fish, but they don’t know how many of each color there are. The students go fishing, each time, picking a random fish from the tub, recording its color, and throwing the fish back in the tub. At the end of the day, 65 fish have been chosen, 12, green and 53 yellow. What is the best estimate you can give for the number of green fish in the number of yellow fish in the tub? Describe how to calculate this best estimate, and explain why your method of calculation makes sense in a way that a seventh grader my understand. Is your best estimate necessarily accurate? Why or why not?
The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.
What is the estimated number of fish of each color?This can be calculated using a rule of three as follows. Let's start with the yellow fish:
53 = 65
x = 100
53 x 100 / 65 = 82 yellow fish
Green fish:
12 = 65
x = 100
12 x 100 / 65= 18 green fish
Is this estimate accurate?This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.
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find the area of circle with a radius of 70m(take pie 22/7)
Answer:
15400 m²--------------------
Use area formula for circle:
A = πr²Substitute 22/7 for π and 70 for r:
A = (22/7)*70²A = 15400The area is 15400 m².
Answer:
15400 m²
Step-by-step explanation:
The formula to find the area of the circle is:
\(\sf A=\pi r^2\)
Given that,
r = 70 m
Let us find the area of the circle
\(\sf A=\pi r^2\\\\\sf A=\dfrac{22}{7}*70*70\\\\\sf A =15400 \:m^2\)
A spinner is divided into three sections: red, blue, and green. The red section is 2/5 of the area of the spinner. The blue section is 1/2 of the area of the spinner. Give the probability for each outcome. Express your answers as fractions.
Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).
Meaning of probability :
Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.
The analysis of events governed by probability is called statistics.
According to the given information :
Red section = \(\frac{2}{5}\)
multiply numerator and denominator by \(2\) we get
Red section = \(\frac{4}{10}\)
Blue section = \(\frac{1}{2}\)
multiply numerator and denominator by \(5\) we get
Blue section = \(\frac{5}{10}\)
Green section = \(1\)- Red section - Blue section
Green section =\(1-\frac{4}{10} -\frac{5}{10}\)
Green section = \(\frac{1}{10}\)
Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).
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Benjamin had 12 lb of modeling clay. He used 1/5 lb on Monday and another 1/4 lb on Tuesday.
How many pounds of clay does Benjamin have left after Tuesday?
Enter your answer in simplest fractional form in the box.
Answer:1/2 = 10/20. 1/5 = 4/20. 1/4 = 5/20.
10/20 - 4/20 = 6/20.
6/20 - 5/20 = 1/20 lbs
Step-by-step explanation:
an=26-6n find the 5th term in the sequence
5th term of the sequence is -4
To find the 5th term in the sequence, we need to substitute n = 5 into the expression given
\(a_5\) = 26- 6( 5)
\(a_5\) = 26- 30
\(a_5\) = -4
The formula given, an = 26- 6n, represents an computation sequence with a common difference of-6.
This means that each term in the sequence is attained by obtain 6 from the former term.
It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the matching value of n.
In this case, we were asked to find the 5th term, so we substituted n = 5 into the formula to get a5 = -4.
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Ill give brainliest
Answer:
is 4 an option?
Step-by-step explanation:
I think it is 4
Santiago has been approved for a conventional loan which requires a 20% down payment, he has been approved for a mortgage up to $195,000. If Santiago buys a house for the max amount, how much will his down payment be? Therefore, how much house could Santiago afford? How much is Santiago's down payment? How much can Santiago spend on a house?
If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:
Down payment = 20% * $195,000
Down payment = $39,000
Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.
To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:
Maximum home price = Total mortgage amount - Down payment
Maximum home price = $195,000 - $39,000
Maximum home price = $156,000
Therefore, Santiago can afford a home up to a maximum price of $156,000.
To summarize:
Santiago's down payment will be $39,000.
Santiago can spend up to $156,000 on a house.
I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull
what is the scale factor? 4/x = 8/3
Answer:
x= 3/2
Step-by-step explanation:
8/3= 2.6 repeating
4/(3/2)= 2.6 repeating
12. What is the value of the following expression when
a = -2 and b = -4?
5(4a3b)+ ab
A-108
B -92
C -12
D12
E 28
Answer:
1st one is b. 2nd one is A
Step-by-step explanation:
i did the quiz
I Need Help Please This Will Only Take 1min…
The (C) solution of the equation is the value of the variable that causes an equation to be a true statement.
What are equations?A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others.So, the Root or solution of the equation is the value of the variable that turns an equation into a true statement.
An equation that compares two mathematical expressions is a sentence or mathematical statement.The value of the variable that makes the equation true or satisfies it is referred to as the equation's root or solution.For instance,
"x + 2 = 0"The equation's solution in this case is x = - 2.
x² - 1 = 0Here, the equation's roots or solutions are x = 1 and -1.
Therefore, the (C) solution of the equation is the value of the variable that causes an equation to be a true statement.
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The complete question is given below:
The value of the variable which makes an equation a true statement is called the ________ of the equation.
A. Coefficient
B. Equation
C. Solution
D. Algebraic expression
E. Constant
F. Variable
Two bicycle trails were developed in a new housing development. One trail is
3 1/2 miles long. The other trail is 3/4 as long. How long is the second trail?
The length of the second trial will be equal to 2(⁵/₈) miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.
The length of the second trial will be calculated as,
Length = 3/4 x ( 3¹/₂ )
Length = 2(⁵/₈)
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