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OlgaM077 [116]
3 years ago
9

Solve for t. −3t≥39 Enter your answer as an inequality in the box.

Mathematics
2 answers:
Flauer [41]3 years ago
6 0

Answer:

\[t\leq -13\]

Step-by-step explanation:

Given inequality is \[−3t\geq39\]

Simplifying:

\[-t\geq \frac{39}{3}\]

\[=>-t\geq13\]

Sign of the inequality changes  of making both sides negative.

\[=>t\leq -13\]

Hence the solution for the given inequality is represented by \[t\leq -13\]

This means that the original inequality will be true only for those values of t which are less than or equal to -13.

Marta_Voda [28]3 years ago
4 0

Answer:

its t< with the underscore under the less than -13                                                                                                                                                                                               so its t< -13

Step-by-step explanation:

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Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f
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Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws are independent. So we use the binomial probability distribution 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.

He has a 3/4 probability of success.

This means that p = \frac{3}{4} = 0.75

Giannis shoots three free throws

This means that n = 3

What is the probability that he succeeds on at least two of them

P(X \geq 2) = P(X = 2) + P(X = 3)

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

P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219

P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438

84.38% probability that he succeeds on at least two of them

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Sharon is conducting research on two species of birds at a bird sanctuary. The number of birds of species A is represented by th
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Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.


Step-by-step explanation:

Given: Sharon is conducting research on two species of birds at a bird sanctuary.

The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.

S=2^x+12

The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.

S=15x+35

To plot the above function, first find points by which they are passing.

For species A, At x=0 , S=1+12=13

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Similarly find more points and plot curve on graph.

For species A, At x=0 , S=0+35=35

At x=2 , S=15+35=50

Plot a line with the help of these two points.

Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.



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Answer:

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Step-by-step explanation:

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