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Arlecino [84]
3 years ago
11

Analyze the given parts. State if the given information would create a unique triangle, multiple triangles, or no triangle. (You

can use patty paper if needed.)
A.
This information results in a unique triangle.

B.
This information could result in many different triangles.

C.
This information results in no triangles.

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

<u><em>B.  </em></u>

<u><em>This information could result in many different triangles.</em></u>

Step-by-step explanation:

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Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40
valentinak56 [21]

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula:  i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40.  We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00).  This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

8 0
3 years ago
10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.
erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

p = \frac{4}{6} = 0.6667

10 normal six sided dice are thrown.

This means that n = 10

Find the probability of obtaining at least 8 failures.

This is:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951

P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867

P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174

Then

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0
3 years ago
What is the lowest common multiple of 3 and 4
Rufina [12.5K]

So an example


least common multipule is like what is the smallest number both will fit into


example, 6 and 10, least common multilule is 30 because 6*5=30 and 3*10=30


so 3 and 4

factor each

3=3

4=2*2

so we have to have 2*2*3 which is 12


12 is least common multiplule


7 0
3 years ago
The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x
LekaFEV [45]
We have that (x) + (x+2) + (x+4) = 126 so 3x + 6 = 126 can be used to find the first integer.

3x + 6 = 126
3x = 120
x = 40

The numbers are 40, 42, 44
4 0
3 years ago
Read 2 more answers
What is 7,776 ÷ 24? This is for 30 points.
baherus [9]

Answer:

324

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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