The area of the triangle for the given parameter is 12.4 squared cm.
How to calculate the area of the triangle?
In mathematics, the area of the triangle is classified into three forms isosceles, scalene and equilateral. Depending upon the sides of the triangle, it is classified. That means, when the two sides are equal then the triangle is isosceles triangle.
According to the question, the given parameters for the calculation of the area of the triangle is as written below:
Side of the triangle(a) = 5.2 cm. Angle of a triangle(B) = 67°.
Using standard formula for the area of the triangle, we get:
Area of the triangle = (1/2)(5.2)(5.2)sin(67°) = 12.4384 = 12.4 squared cm.
Hence, the area of the triangle for the given parameter is 12.4 squared cm.
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I need serious help with this one.
Whoever helps me thank you god bless
Answer:
Try 20.
Step-by-step explanation:
To round 19.5 to the nearest whole number consider the tenths’ value of 19.5, which is 5 and equal or more than 5. Therefore, we have to round up: the whole number part of 19.5, 19, increases by 1 to 20, and the decimal point and all digits (.5) are removed.
19.5 rounded to the nearest whole number = 20
The base of a 15-foot ladder is 3 feet from a building. If the ladder reaches the flat roof, how tall is the building?
10x - 26 = 3x + 23
x= ?
10x - 26 = 3x + 23
x = 7
To find out x
10x - 3x = 23 + 26
7x = 49
x = 7
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Answer: x=7
Step-by-step explanation
[tex]10x-26=3x+23\\[/tex]
First you want to get the x's to one side you would subtract 3x from both sides.
Then your equation should be:
[tex]7x-26=23[/tex]
Then you want to add 26 to both sides.
[tex]7x=49[/tex]
Then you would divide both sides by 7, making your answer:
[tex]x=7[/tex]
Find an estimate for the mean time. Please fast !!
Mean time = 142 minutes
What is the mean of data?One of the the most common expression for the mean of a statistical distribution with random variables is the average of all the terms. The mean of any given data can be found out by adding all numbers in the data set and then dividing that by the number of values.
First calculate the mid point of the time interval :
(15+17)/2=16
(17+19)/2 = 18
(19+21)/2= 20
(21+23)/2= 22
Multiply each time mid point with respective frequency :
16*5=80
18*12= 216
20*7= 140
22*6= 132
Adding this and dividing by the total number of times that is 4:
= (80+216+140+132)/4
= 568/4
Mean time =142 minutes
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The depth of the water in a tank after t minutes is modeled by f(t) = 5+1.5t, measured in inches. Find and interpret (10).
A) 20; The depth of the water after 10 minutes is 20 inches.
B) 20; The water reaches a depth of 10 inches after 20 minutes.
C) 65; The depth of the water after 10 minutes is 65 inches.
D) 65; The water reaches a depth of 10 inches after 65 minutes.
The depth of water after 10 minutes is 20 inches which is the option A.
Given that:-
Depth of water in a tank after t minutes is modeled by the function f(t) = 5+1.5t, measured in inches.
Let us check for Option A.
Putting t = 10 min in the given equation, we get,
f(10) = 5 + 1.5*10 = 5 + 15 = 20 inches.
Hence, option A is the right answer.
We can also check the other options to confirm our answer.
Putting t = 20 minutes,
f(20) = 5 + 1.5*20 = 5 + 30 = 35 inches
As 10 inches is written in B, hence, it is not the right answer.
We already know that t = 10 gives 20 inches.
Hence, C is not the answer.
Putting t = 65 minutes,
f(20) = 5 + 1.5*65 = 5 + 97.5 = 102.5 inches
As 10 inches is written in D, hence, it is not the right answer.
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In a toy store the ratio of the number of dolls to the number of teddy bears is 6:5 if the store has 240 dolls how many teddy bears are in the store
About 200 teddy bears in the store.
Given,
The ratio of the number of dolls to the number of teddy bears is 6:5
and, The store has 240 dolls.
To find the number of teddy bears are in the store.
Now, According to the question:
Total no. of dolls are 240
The ratio of dolls and teddy bears are 6:5
Then, For dolls
= 240/6 = 40dolls
So, Teddy Bears = 40 × 5 = 200
Hence, About 200 teddy bears in the store.
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Here is the histogram of a data distribution.
Which best describes the shape of this distribution?
A. Bimodal skewed
B. Bimodal symmetric
C. Unimodal symmetric
D. Unimodal skewed
E. Uniform
The given distribution is (A) Bimodal skewed as the distribution has 2 humps.
What is Bimodal skewed?If a histogram has one hump, it is unimodal; if it has two humps, it is bimodal; and if it has many humps, it is multimodal. If a histogram is not symmetric, it is referred to as skewed. It is positively skewed if the upper tail is longer than the lower tail. They can have multiple peaks or be bimodal (two peaks) (or many peaks). But a single distribution with two peaks characterizes a bimodal distribution. Typically, it appears as two separate bell curve shapes contained within two normal distributions on a graph that is displayed side by side.As the given graph has 2 humps, we can conclude that the given distribution is an (A) Bimodal skewed.
Therefore, the given distribution is (A) Bimodal skewed as the distribution has 2 humps.
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the population standard deviation for the height of college hockey players is 3.2 inches. if we want to estimate 95% confidence interval for the population mean height of these players with a 0.55 margin of error, how many randomly selected players must be surveyed?
Given,
Population Standard deviation = 3.2 inches
Required confidence interval (C) = 95%
Margin of error = 0.55
Let h be the number of randomly selected players surveyed.
∝ = 1 - C = 1 - 0.95 = 0.05
∝/2 = 1 - C / 2 = 0.05/2 = 0.025
Score of ∝/2 = 2.5 - 0.025 = 2.475
We know,
Margin of error = 0.55
Standard deviation = 3.2
∵ 0.55 = 2.475 x 3.2/ √h
√h = √0.144/1000
∴ h = 12
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Kim cuts 2 2/3 yards from a roll of ribbon to make one bow.
They have 22 5/8 yards of ribbon available to make bows.
Use the drop-down menus to answer each question.
22 5/8÷2 2/3 will tell us the number of bows that is there will be some ribbon left over once we have enough to make 8 full bows but not a ninth.
Given that,
To construct one bow, Kim uses 2 2/3 yards of ribbon from a roll.
22 5/8 yards of ribbon can be used to create bows.
We have to find 22 5/8÷2 2/3 will tell us the number of bows.
Take the mixed fractions,
A mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls between any two whole numbers.
=22 5/8÷2 2/3
=181/8÷8/3
Change to improper fractions
=181/8×3/8
Multiply by the reciprocal. Nothing cancels.
=543/64
Change into a mixed number
=8 31/64
Therefore, There will be some ribbon left over once we have enough to make 8 full bows but not a ninth.
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Does the function f of x equals 3 times the quantity 1 over 2 end quantity to the x power represent growth or decay? what is the y-intercept of f(x)? growth; 0 comma one-half growth; (0, 3) decay; 0 comma one-half decay; (0, 3)
For the exponential function f(x) = 3(0.5)^x, we have that:
The function represents exponential decay.The y-intercept of the function is given by point (0,3).What is an exponential function?An exponential function is modeled according to the rule given below:
[tex]y = ab^x[/tex]
In which the parameters are described as follows:
a is the initial value of the function, hence the y-intercept is of (0,3).b is the rate of change of the function, determining if it represents exponential growth (|r| > 1) or exponential decay (|r| < 1).For this problem, the rule of the exponential function is given by:
y = 3(0.5)^x.
Hence the parameters are:
a = 3, b = 0.5.
Then:
The function represents exponential decay, as |b| = 0.5 < 1.The y-intercept of the function is given by point (0,3), as the coefficient a has a value of a = 3.More can be learned about exponential functions at https://brainly.com/question/25537936
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Answer:
decay; (0,3)
Step-by-step explanation:
1. Minimum salary: $160.
Commission: 53% on $2900.
Total income for Minimum salary: $160 and Commission: 53% on $2900 will be $1,697.
Salary and Commission : -A salary is a set earnings that an employee normally gets on a weekly, biweekly or month-to-month foundation. A Commission is greater earnings an worker earns once they promote items or services.
We had given the minimum salary of $160 which will be fixed and not depend on the earning of the commission.
Now As given the sale of $2900 and the commission percentage of 53%
∴ Total Commission will be = [tex] \frac{2900\ (53)}{100} [/tex]
∴ Total Commission = 29 (53).
∴ Total Commission = $ 1,537
∴ Total Income will be the addition of base/minimum salary and the commission in total.
∴ Total income will be $160 + $1,537
∴ Total income = $1,697.
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What is the volume of the following cone?
Write an equation of a line that is perpendicular to y = 3x + 3 and passes through (−6, 3).
y equals negative one-third times x plus 1
y equals negative one-third times x minus 5
y = 3x + 21
y = 3x − 15
The equation of a line that is perpendicular to y = 3x + 3 is option A y equals negative one-third times x plus 1(-1/3x + 1)
Given,
The equation of line, y = 3x + 3
The line passes through (-6, 3)
We have to find the equation of the line that is perpendicular to y = 3x + 3
Slope of the line, m = 3
Here, in perpendicular case, slope is negative of its reciprocal.
That is, m = -1/3
Now, we can find the equation
y - y₁ = m(x - x₁)
Here,
y₁ = 3
x₁ = -6
m = -1/3
So,
y - 3 = -1/3(x - (-6))
y - 3 = -1/3(x + 6)
y - 3 = -1/3x + -1/3(6)
y - 3 = -1/3x - 6/3
y - 3 = -1/3x - 2
y = -1/3x - 2 + 3
y = -1/3x + 1
That is, the equation of a line that is perpendicular to y = 3x + 3 is y equals negative one-third times x plus 1(y = -1/3x + 1)
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Answer:A is the answer
Step-by-step explanation:
i got it right on the test
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 140 pints of a mixture that is 70% pure fruit juice?
The fruit drink which contains 70 % fruit juice will have 120 pints of 65 % pure fruit juice and 20 pints of 100% pure fruit juice.
Given that:-
Two types of juice are 65 % fruit juice and 100 % pure fruit juice.
The company is attempting to produce a fruit drink that contains 70% pure fruit juice.
We have to find the amount of each of 65% pure fruit juice and 100 % pure fruit juice which contains 70 % fruit juice with 140 pints of total juice.
Let the amount of 65 % pure fruit juice be x pints and,
The amount of 100 % pure fruit juice be y pints
We know that,
x + y = 140 ...(1)
Also,
Using weighted mean, we can write,
(65x + 100y)/(x + y) = 70
65x + 100y = 70x + 70y
5x = 30y
x = 6y
Putting x = 6y in (1), we get
6y + y = 140
7y = 140
y =140/7
y = 20 pints
x = 6y = 6*20 = 120 pints
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Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. N=4; i and 4i are zeros; f(-1)=102
Answer:
[tex]f(x)=3x^4+51x^2+48[/tex]
Step-by-step explanation:
As n = 4, the degree of the polynomial is 4.
Therefore, the function cannot have more than 4 distinct roots.
[tex]\implies f(x)=a(x-p)(x-q)(x-r)(x-s)[/tex]
If a complex number z is a root of f(z) = 0 then its complex conjugate is also a root. Therefore:
If i is a root, then -i is also root.If 4i is a root, then -4i is also root.[tex]\implies f(x)=a(x-i)(x+i)(x-4i)(x+4i)[/tex]
[tex]\implies f(x)=a(x^2-i^2)(x^2-16i^2)[/tex]
[tex]\implies f(x)=a(x^2-(-1))(x^2-16(-1))[/tex]
[tex]\implies f(x)=a(x^2+1)(x^2+16)[/tex]
Given f(-1) = 102, then:
[tex]\begin{aligned}\implies f(-1)=a((-1)^2+1)((-1)^2+16)&=102\\a(1+1)(1+16)&=102\\a(2)(17)&=102\\34a&=102\\a&=3\end{aligned}[/tex]
Therefore:
[tex]\implies f(x)=3(x^2+1)(x^2+16)[/tex]
[tex]\implies f(x)=3(x^4+17x^2+16)[/tex]
[tex]\implies f(x)=3x^4+51x^2+48[/tex]
The height of a ball in feet can be found by the function h(t)=-16t^2+80t+5 where t is the elapsed time in seconds. Find the time or times that the ball is 34 feet high to the nearest tenth of a second
The times that the ball is 34 feet high to the nearest tenth of a second is equal to 4.61 and 0.39 seconds.
How to calculate the times?In order to determine the time or times for this ball at a height of 34 feet, we would simply substitute the value of the height into the function h(t) as follows;
h(t) = -16t² + 80t + 5
34 = -16t² + 80t + 5
Re-arranging the equation, we have:
16t² - 80t + 34 - 5 = 0
16t² - 80t + 29 = 0
Next, we would solve the quadratic equation by using the quadratic formula:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-(-80)\; \pm \;\sqrt{-80^2 - 4(16)(29)}}{2(16)}\\\\x = \frac{80\; \pm \;\sqrt{6400 - 1856}}{32}\\\\x = \frac{80\; \pm \;\sqrt{4544}}{32}[/tex]
x = (80 ± 8√71)/32
x = (80 + 8√71)/32 and x = (80 - 8√71)/32
x = 4.61 and 0.39 seconds.
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The compositions f(g(x)) and g(f(x)) of functions f and g are shown on the graph. Which statements describe the compositions? Check all that apply. f(g(x)) = g(f(x)) for at least one value of x. The composition of f and g is commutative. f(g(0)) = 5 and g(f(–2.5)) = 5. Both f(g(x)) and g(f(x)) have the same domain. The graphs show that function composition is not commutative.
Given the Graph functions above, the option that applies in the above scenario are:
f(g(x)) = g(f(x)) for at least one value of x. [Option A]f(g(0)) = 5 and g(f(–2.5)) = 5. [Option C]Both f(g(x)) and g(f(x)) have the same domain. [Option D]The graphs show that function composition is not commutative. [Option E]What is a Graph function?A function's graph is the set of all points in the plane of the form (x, f(x)). The graph of f might similarly be defined as the graph of the equation y = f. (x). As a result, the graph of a function is a subset of the graph of an equation.
Explanation for Option A:
Note that both functions intersect at some point. That one is where f(g(x)) = g(f(x)) for at least one value of x. Note, this is for the value of x and not y;
Explanation for Option C:
This simply means that on the if f(g) where y = 5,x is 0; for g(f) where y = 5, x = -2.5. This is also observable in the graph
Explanation for Option D
If two functions f and g have the same domain and codomain, and f(a)=g for every an in the domain, we say they are equal (a).
Explanation for Option E
If a graph is cummulative, there will be a noticeable trend either as an upward trajectory or a negative one with the line crossing the origin. This is not the case here.
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Answer:
The expert answer is correct. But here is the short answer.
1, 3, 4, 5.
Suppose 91% of students chose to study French their sophomore year, and that meant that there were 819 such students. How many students chose not to take French their sophomore year?
Using percentage we can calculate that 81 students did not take French.
In mathematics, a number or ratio that is expressed as a fraction of 100 is referred to as a percentage. Although the abbreviations "pct" and "pc" are also often used, the percent symbol "%" is the one that is most frequently used. A % is a number that has neither established units of measurement nor dimensions.
The percentage can be calculated by taking the value and dividing it by the total value, then multiplying the result by 100. using the formula (Value/Total Value) × 100% to calculate percentages.
Let the total number of students be x.
Now 91% of this students is equal to 819.
Now using the properties of percentages we can write:
91% of x = 819
or, x = 900
Number of students who did not take French = 900 - 819 = 81
Hence using percentages we can say that 9% or 81 students did not take French.
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which small digit represent M so that the number 2m234 and is divisible by 3
Answer:
m = 1
Step-by-step explanation:
A number is divisible by 3 if the sum of the digits is a multiple of 3
the given number is 2m234 and we are asked to find the smallest m
Adding up known digits gives 2 + 2 + 3 + 4 = 11
The next multiple of 3 is 12
So 11 + m = 12
m = 1
The other possibilities are
m = 4, m = 7
Reuters reports that 15 percent of australians smoke. by introducing tough laws banning brand labels on cigarette packages, australia hopes to ultimately reduce the percentage of people smoking to 10%. answer the following questions based on a sample of 240 australians..
The mean of the sampling distribution of proportion is 0.15
The probability the sample proportion will be within 0.04 of the population proportion is 0.9182
The probability the sample proportion that will be within 0.02 of the population proportion is 0.6157
P(Smokers) in Australia= 15/100=0.15
Sample, n =240
Part a, The mean of the sampling distribution of proportion:
μ₂ = P(Smokers)
= 0.15
The mean of the sampling distribution of proportion is 0.15
The standard deviation of the sampling distribution of proportion is,
δ [tex]=\sqrt{p\frac{(1-p)}{n} }[/tex]
[tex]=\sqrt{0.15\frac{(1-0.15)}{240} }[/tex]
[tex]=0.0230[/tex]
The standard deviation of the sampling distribution of proportion is 0.0230
Part b, The probability the sample proportion will be within +/-0.04 of the population proportion:
To find this, we first, compute the z score then find probability based on standard normal table.
For 0.15-0.04, p=0.11 and converts to:
[tex]z=\frac{p-u_{p} }{standard deviation} \\[/tex]
[tex]=\frac{0.11-0.15}{0.0230}[/tex]
= -1.74
For 0.15+0.04, p=0.19, and converts to:
[tex]z=\frac{0.19-0.15}{0.0230}[/tex]
= 1.74
From the standard normal distribution table, the associated probability for z values and subtracts the probability is,
[tex]=p(-1.74\leq z\leq 1.74)[/tex]
[tex]=0.9591-0.0409[/tex]
[tex]=0.9182[/tex]
Hence, the probability the sample proportion will be within 0.04 of the population proportion is 0.9182
Part c, the probability the sample proportion will be within 0.02 of the population proportion:
First, compute the z score then find probability based on standard normal table.
For 0.15-0.02, p=0.13, and converts to:
[tex]=\frac{0.13-0.15}{0.0230}[/tex]
=-0.87
For 0.15+0.02, p=0.17, this converts to:
[tex]=\frac{0.17-0.15}{0.0230}[/tex]
=0.87
From the standard normal distribution table, the associated probability for z values and subtracts the probability is,
[tex]=p(-0.87\leq z\leq 0.87)[/tex]
[tex]=0.8079-0.1922[/tex]
[tex]=0.6187[/tex]
Hence, the probability the sample proportion will be within 0.02 of the population proportion is 0.6157
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.
Write the ratio 60: 145 in the form 1: n, where n is a fraction in its simplest form.
Answer:
n = 29/12 is the simplest form
Step-by-step explanation:
145 ÷ 60 = 29/12
Given the area of a square window is 36 ft2, what is the measure of one side? Show your work.
Answer:
The length is 6 ft
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
36 = s^2
Take the square root of each side
sqrt(36) = sqrt(s^2)
6 =s
The length is 6 ft
Answer:
6 ft
Step-by-step explanation:
We know that the formula to find the area of a square is :
Area = a² ( length × width)
According to the question they've already given the area of the square as 36ft².
So, to find the the measure of a one side, let the in unknown measure of a side be a.
Remember that, all the sides of a square are equal to each other.And now, using the formula let us find the value of a ( length of a one side).
[tex] \sf \: Area = a² \\ \sf 36 = a² \\ \sf \: \sqrt{36} = a \\ \sf6ft = a[/tex]
What is the distance between (8,-3) and (4, -7)?
Choose 1 answer:
6
9
√32
√42
Answer:
C. 32Step-by-step explanation:
Use the distance formula.
Distance:
[tex]\Rightarrow \sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}[/tex]
y₂=(-7)
y₁=(-3)
x₂=4
x₁=8
[tex]\sf{\sqrt{\left(4-8\right)^2+\left(-7-\left(-3\right)\right)^2}}[/tex]
Solve.
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtractDo parentheses first.
(4-8)=-4
[tex]\sf{\left(-4\right)^2+\left(-7-\left(-3\right)\right)^2}[/tex]
-7-(-3)=-7+3
-7+3=-4
[tex]\sf{\left(-4\right)^2+\left(-4\right)^2}[/tex]
Do exponents.
[tex]\sf{(-4)^2=4^2=4*4=16}[/tex]
Then, you add.
16+16
[tex]\Rightarrow \boxed{\sf{32}}[/tex]
Therefore, the correct answer is C. 32.
Which one of these pictures is not like the others? Explain what makes it different using ratios.
M is not like the others. ratio and proportion is used.
What is ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7). Any number of quantities, such as counts of people or objects or measurements of length, weight, or time, etc., can be included in a ratio. In most cases, both numbers must be positive.
Shorter diameter of L is 3:4.
the ratio of M is 4/8= 1:2
the ratio of N is 9/12= 3:4 (count the squares)
so, M is not like the others.
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3 In an election, a good candidate may lose because 40% of voters do not cast their votes due
to various reasons. Form an equation and draw the graph with data. From the graph, find:
(i) The total number of voters, if 720 voters cast their votes.
The total number of voters is 1200, and out of that 720 voters cast their votes.
Let's take total voters = V
The percentage of voters do not cast their votes due to various reasons is 40%.
Therefore, Voters did not cast their votes = (40÷100)V = 0.4V
As 0.4V voters did not cast their votes. To calculate the total number of voters who cast votes, divide (total) by (non-casted-voters):
Voters casted their votes = V - 0.4V = 0.6V
0.6V = 720
=> V = 1200
The total number of voters is 1200 if 720 voters cast their votes.
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Match each relationship on the right with the correct description on the
left.
Direct
variation
Indirect
variation
Joint
variation
The amount of time it takes to
drive some place depends on
the distance.
The volume of a can depends
on its radius and on its height.
The time it takes to shingle a
roof depends on how many
workers are helping shingle the
roof.
Each relationship should be matched with the correct description as follows:
Direct variation: the amount of time it takes to drive some place depends on the distance.Joint variation: the volume of a can depends on its radius and on its height.Indirect variation: the time it takes to shingle a roof depends on how many workers are helping shingle the roof.What is direct variation?Direct variation can be defined as a type of proportional relationship in which a variable is directly proportional to another variable.
What is an indirect variation?An indirect variation can be defined as a type of proportional relationship in which a variable is inversely proportional to another variable. This ultimately implies that, an indirect variation represents two variables that are inversely proportional to each other.
In conclusion, a joint variation describes a situation in which a variable depends on two other variables which share a directly proportional relationship.
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Simple function problem (will mark brainliest to correct answer)
From the given quadratic function ff(x) = (x² + cx - 1)/(2x² - 3x + 2), we can tell that the possible values for which the function lies on the interval (-1, 2) is; c c ≤ 12
What is the solution to the quadratic function?We are given the quadratic function f(x) as;
f(x) = (x² + cx - 1)/(2x² - 3x + 2)
Now, we want to find the possible values of c for which the function belongs to the interval (-1, 2). Thus, we will plug in -1 for x and equate the function to 2;
f(-1) = ((-1)² + c(-1) - 1)/(2(-1)² - 3(-1) + 2) = 2
(1 - c - 1)/6 = 2
-c/6 = 2
c = -12
Thus, the possible values for which the given function f(x) belongs to the interval (-1, 2) are; c ≤ 12
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What percentage is 55cm of 4 metres ?
55cm is 13.75% of 4 meters.
Answer: 12.5%
Step-by-step explanation:
There are 100 CM in 1 M.
4×100=400
50/400=12.5
Can the numbers 12, 6, 6 be used to form the sides of a triangle? Why or why not
Answer:
No
Step-by-step explanation:
Not because the sum of the measurements of the smaller sides (6, 6) must not be equal to or greater than the measure of the larger side (12) since in these conditions the triangle does not exist.
Hope this helps
Using the numbers 12, 6, 6, the triangle can not be formed.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Here, we have,
given that,
The given numbers are 12, 6 and 6.
Here, 6 + 6 = 12 but not greater than 12
so, we get,
Therefore, using the numbers 12, 6, 6, the triangle can not be formed.
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a construction company has found it has a probability of 0.10 of winning each time it bids on a project. the probability of winning a given number of projects out of 12 bids could be determined with a binomial distribution.
Every time a construction company submits a bid, the odds of winning are 0.10 percent. With the aid of a binomial distribution, it is possible to calculate the likelihood of selecting a specific number of projects out of 12 bids: TRUE
What is binomial distribution?When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution. For the trials we are looking at, the probability of receiving success in a binomial distribution must stay constant. Since there are only two possible outcomes when tossing a coin, for instance, the probability of flipping a coin is 1/2 or 0.5 for each trial we conduct.As it is given in the description itself that the probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.
Therefore, the statement "every time a construction company submits a bid, the odds of winning are 0.10 percent. With the aid of a binomial distribution, it is possible to calculate the likelihood of selecting a specific number of projects out of 12 bids" is TRUE.
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The complete question is given below:
A construction company has found it has a probability of 0.10 of winning each time it bids on a project. the probability of winning a given number of projects out of 12 bids could be determined with a binomial distribution. TRUE or FALSE.