Find the perimeter of the triangle. Perimeter is the distance around the outside. *
Answer:
s=
\( \frac{1}{2} \)
Answer:
To find the perimeter of an equilateral triangle, the formula is Side X 3
If it's a Scalene or an Isosceles triangle , add all sides.
Hope it helps ;)
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Summary statistics are given for independent simple random samples from two populations. Use the nonpooled t-test to conduct the required hypothesis test. 1 = 75.1, s 1 = 4.5, n 1 = 11, 2 = 66.2, s 2 = 5.1, n 2 = 9 Perform a two-tailed hypothesis test using a significance level of α = 0.01.
Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The first sample mean is \(\= x_1 = 75.1\)
The first sample standard deviation is \(s_1 = 4.5\)
The first sample size \(n_1 = 11\)
The second sample mean is \(\= x_2 = 66.2\)
The second sample standard deviation is \(s_2 = 5.1\)
The second sample size is \(n_2 = 9\)
The significance level is \(\alpha = 0.01\)
The null hypothesis is \(H_o : \mu_1 = \mu_2\)
The alternative hypothesis is \(H_a : \mu_1 \ne \mu_2\)
Generally the pooled standard deviation is mathematically represented as
\(s = \sqrt{ \frac{(n_ 1 - 1) s_1^2 + (n_2 - 1) s_2^2}{n_1 + n_2 -2 } }\)
=> \(s = \sqrt{ \frac{(11 - 1) 4.5^2 + (9 - 1) 5.1^2}{11 + 9 -2 } }\)
=> \(s = 4.78\)
Generally the degree of freedom for the is mathematically represented as
\(df = [ \frac{[\frac{s_1^2 }{n_1} + \frac{s_2^2}{ n_2} ]^2}{[\frac{[\frac{s_1^2}{n_1} ]^2}{n_1 - 1 } ] + [\frac{[\frac{s_2^2}{n_2} ]^2}{n_2 -1} ]} ]\)
=> \(df = [ \frac{[\frac{4.5^2 }{11} + \frac{5.1^2}{9} ]^2}{[\frac{[\frac{4.5^2}{11} ]^2}{ 11 - 1 } ] + [\frac{[\frac{5.1^2}{9} ]^2}{9 -1} ]} ]\)
=> \(df = 16 \)
Generally the test statistics is mathematically represented as
\(t = \frac{\= x_1 - \= x_2}{ \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} } }\)
=> \(t = \frac{ 75.1 - 66.2 }{ \sqrt{\frac{ 4.5^2 }{ 11} + \frac{5.1^2}{ 9} } }\)
=> \(t = 4.092\)
Generally the student distribution table the probability of \(t = 4.092\) to the right at a degree of freedom of \(df = 16 \) is
\(P( T > 4.092 ) = 0.00042536\)
Generally the p-value is mathematically represented as
\(p-value = 2 * P(T > 4.092)\)
=> \(p-value = 2 * 0.00042536\)
=> \(p-value = 0.001\)
From the value obtained we see that \(p-value < \alpha\) hence we
The decision rule is
Reject the null hypothesis
Really bad at math please help
Answer:
X = 26
Step-by-step explanation:
triangle = 180 degrees
180 - (25+112) = 43
X + 17 = 43
43 - 17 = 26
x = 26
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PLZZ MARK BRAINLIEST
Find the number of 3-digit numbers that can be formed by using the digits 8,9,5,2,1,7 when repetition of digits is not allowed in the number formed
a. 6!
b. 6P3
c. 6^3
d. 6C3
Answer:
Step-by-step explanation:
okay you can do it
good luck
Please help with this math question!
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
8th grade
Math pls help
Answer:
y=2/3x+600
Step-by-step explanation:
as x goes up by 3, y goes up by 2. So this means the slope is 2/3. also, you add 600 which is the y intercept
On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
7x + 10y = 2900
x + y = 320
7x + 10y = 320
x + y = 2900
10x + 7y = 2900
x + y = 320
10x + 7y = 320
x + y = 2900
Brainiest for correct answer
A system of equations to model this scenario is given as follows -
x + y = 320
7x + 10y = 2900
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.The general equation of a straight line is → y = mx + c{m} - slope {c} - intercept along the y - axis.
Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.
Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -
x + y = 320
7x + 10y = 2900
Therefore, a system of equations to model this scenario is
x + y = 320
7x + 10y = 2900
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A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
\(\frac{170}{17}\) = 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
The number of yellow marbles in the bag is 50
Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values. For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.
In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.
Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles
Sum of ratios = 9 + 3 + 5 = 17
(5 / 17) x 170 = 50 marbles.
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What is the geometric mean between 9/16 and 25/36
Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.
What is the geometric mean between 9/16 and 25/36 ?To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.
The formula for the geometric mean is given by:
GM = n√x1 x2 . . . xn
Solving for the geometric mean between 1/5 and 60 using the formula:
GM = n√x1 x2 . . . xn
where n = 2, x1 = 9/16, and x2 = 25/3
GM = √(9/16(25/36)
GM = 0.625
Hence, the geometric mean of 9/16 and 25/36 is 0.625
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Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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Answer this!
18 divides x
this makes no sense so maybe try something better
I need help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x
If 3 dogs eat 4 pounds of food per day, how many dogs eat 15 pounds of food?
11 dogs will eat 15 pounds of food.
According to the question,
We have the following information:
3 dogs eat 4 pounds.
We have to find how many dogs will eat 15 pounds.
We have the following expression:
4 pounds = 3 dogs
We can treat dog as a non-living object or a product.
So, we can find the parts devoted to 1 pound:
1 pound = 3/4
Now, we have to find the same for 15 pounds:
15 pounds = (3/4)*15
15 pounds = 11.25
Now, note that the number of dogs can not be in points. So, we will round it off to form a whole number.
So, 15 pounds = 11 dogs
Hence, 15 pounds of food is enough for 11 dogs.
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What’s the correct answer for this?
Answer: false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
unless u used a ruler nothing would find it out
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Select all the equations that are equivalent to y-4 =2/3(x-1)
The equivalent equations of y - 4 = 2/3(x - 1) are y - 4 = 2/3x - 2/3 and y = 2/3x + 10/3
How to determine the equivalent equation?From the question, we have the following parameters that can be used in our computation:
y - 4 = 2/3(x - 1)
We start by expanding the bracket
So, we have the following representation
y - 4 = 2/3x - 2/3
Next, we add 4 to both sides of the equation
This gives
y - 4 + 4 = 2/3x - 2/3 + 4
Evaluate the like terms
So, we have the following representation
y = 2/3x + 10/3
Hence, the equivalent equation is y = 2/3x + 10/3
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Which symbol replaces the box to make the statement true? 18÷6+3□6+12÷3 Responses > greater than < less than =
The correct expression of the inequality expression is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3
How to complete the inequality expression?From the question, the expression is given as
18 ÷ 6 + 3 □ 6 + 12 ÷ 3
We start by converting the above expression to the same form
So, we start by solving the quotients
This gives
3 + 3 □ 6 + 4
Next, we evaluate the sum
So, we have
6 □ 10
In the above expression, we have
6 and 10
By convention, the number 6 is less than the number 10
This is so because 6 has a smaller value and 10 has a higher value
When the above numbers are compared, we have
6 is less than 10
This means that we make use of the inequality symbol <
So, we have
18 ÷ 6 + 3 < 6 + 12 ÷ 3
Hence, the complete inequality is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3
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Can someone please answer a-d I have 5 mins!!!!
6 points and Brainly:)
Answer:
a) 12×6=72 cm²
b) 3x6:2= 9 cm²
c) 3x6:2=9 cm²
d) 72-9-9= 54 cm²
p(x)=x² – 2x-3/2x2-x-10
Answer:
2x^2+x-10=0
Step-by-step explanation:
Answer:
Hi Amy it's don sorry about du mb ronny
Step-by-step explanation:
just bored without you :-'( see ya buttercup
Which scenario may not be represented by the expression 1.18x?
A restaurant bill costs a total of dollars. Jose leaves a tp that is 18% of the total bill How much does Jose spend in all?
After buying gasoline from the manufacturer for a dollars, a gasoline company marks up the cost of oil 18% before selling it to the consumer. How much does the
consumer pay for the oil relative to how much the manufacturer pays?
Tyrese owns a tire company. Normally he sells tres to customers for twice as much as he pays for them, but he is having a big sale and offering them for 82% off the
usual price. During the sale, how much do the customers pay for tres relative to how much Tyrese pays for them?
The local produce market is having a sale, and customers can buy watermelons at an 18% discount. How much do the watermelons cost after the discount?
It’s b
Answer:
The local produce market is having a sale, and customers can buy watermelons at an 18% discount. How much do the watermelons cost after the discount?
sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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term of the sequence 8, 16, 32,
Answer:
8,16,32,64
Step-by-step explanation:
8 to 16 +8
16 to 32 +16
32 to 64 +32
Answer:
8,16,32,64,128,256...
Step-by-step explanation:
the sequence is multiplied by 2
for example; 8*2= 16
16*2=32
⦁ The smallest number by which to divide is 6075 to make it a perfect square.
The smallest number by which to divide 6075 to make it a perfect square is 3
Perfect squareFrom the question, we are to determine the smallest number by which to divide the given number to make is a perfect square
The given number is 6075
A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. That is, a number that can expressed as n², where n is an integer.
The given number cannot be divided by 2 without given a remainder.
Divide the given number by 3
6075 / 3 = 2025
NOTE:
2025 = 45 × 45 = 45²
Thus, 2025 is a perfect square
Hence, the smallest number by which to divide 6075 to make it a perfect square is 3
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Joe makes tomato sauce to sell at a craft fair. He makes it in 5 gallon batches. How many pint jars does he need to hold 5 gallons of sauce?
By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.
How many pint jars does he need?
We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.
We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.
Remember the relation:
1 gallon = 8 pints.
So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:
5*8 pint jars = 40 pint jars.
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Enter an equation that represents the data in the table. 3 5 10 8 16 10 20 у 6 An equation is y = 6
Given data:
The given table is shown.
The expression for the equation passing through the points (3, 6) and (5, 10) is,
\(\begin{gathered} y-6=\frac{10-6}{5-3}(x-3) \\ y-6=\frac{4}{2}(x-3) \\ y-6=2(x-3) \\ y=2x \end{gathered}\)Thus, the equation of the line is y=2x.
Does 17 divide each of these numbers?
a) 68
b) 84
c) 357
d) 1001
Answer:
A and C divide by 7
Step-by-step explanation:
68÷17=4
357÷17=21
68 and 357 are completely divisible by 17. Therefore, option A and C are correct answers.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The given number is 17.
A) 68
Here, 68/17 =4
B) 84
84÷17
17|84|4
68
______
16
Here, remainder is 16
C) 357÷17
17|357|21
357
______
0
C) 1001÷17
17|1001|58
986
______
15
68 and 357 are completely divisible by 17. Therefore, option A and C are correct answers.
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Help me on this please.
PLEASE HELP HEHE!!!!
A bag contains 3 red balls, 8 blue balls and 11 white balls. What is the probability of drawing two balls after replacing the first ball; first is red and then a white ball? Round to the nearest tenth and include a percent sign
Answer:
0.1Step-by-step explanation:
Probability = expected outcome/total outcome
If a bag contains 3 red balls, 8 blue balls and 11 white balls, then the total outcome will be;
Total outcome = 3 + 8 + 11 = 22 balls
Since we are drawing two balls with replacement;
Probability of drawing red ball = number of red/total outcome = 3/22
Probability of drawing white ball = number of while/total outcome = 11/22 = 1/2
Probability of drawing red first and then white = 3/22 * 1/2
Probability of drawing red first and then white = 3/44
To the nearest tenth, 3/44= 0.1
In percent = 6.8%
Shown below is a wooden six-sided (hexagon) frame. Which of
the following best approximates the slopes of the six line
segments?
O The slopes are approximately -1.4, 0, and 1.4.
O The slopes are approximately -1.7, 0, and 1.7.
O The slopes are approximately -1.8, 1, and 1.4.
O The slopes are approximately -1.7,0, and 1.4
The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.
How to find the slope between two coordinates?The formula to find the slope between two coordinates is expressed as:
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of each line above the x-axis are:
Slope 1 = (5 - 0)/(5 - 8)
Slope 1 = -1.7
Slope 2 = (5 - 5)/(5 - (-2))
Slope 2 = 0
Slope 3 = (5 - 0)/(-2 - (-5))
Slope 3 = 5/3 = 1.7
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-5 = -36 / m + m
pls help me with this question hurry
This is 6 grade work
The solution of the given quadratic equation -5 = -36 / m + m is,
m = - 9 or m = 4
The given equation is
-5 = -36 / m + m
After re arranging it we get,
m² + 5m - 36 = 0
This is nothing but quadratic equation,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
So now we can write,
⇒ m² + 9m - 4m - 36 = 0
⇒ m(m + 9) - 4(m + 9) = 0
⇒ (m + 9)(m - 4) = 0
Therefore,
⇒ (m + 9) = 0 or (m - 4) = 0
⇒ m = - 9 or m = 4
Thus,
The solution of the given expression is
m = - 9 or m = 4
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Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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