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lozanna [386]
3 years ago
12

Which ordered pairs are in the solution set of the system of linear inequalities?

Mathematics
1 answer:
Nataly [62]3 years ago
8 0

Answer:

C

Step-by-step explanation:

The solution to the system of the inequalities lies in the shaded region between the 2 lines.

The ordered pairs (5, - 2), (3, 1), (4, 2) lie within this region ⇒ C

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What are the x-intercepts of the graph of f(x) = (2x-1)(2x-5)? Show your work.
nlexa [21]

Answer:

Step-by-step explanation:

The x intercepts are obtained by equating the factors to zero.

2x - 1 = 0

2x = 1

x = 1/2

2x - 5 = 0

2x = 5

x = 5/2

x = 2 1/2 or 2.5

The graph of f(x) = (2x -1)*(2x - 5) is given below. The x intercepts are labeled.

4 0
3 years ago
Adding Expressions
Brut [27]

Answer:

the last one

Step-by-step explanation:

I checked

5 0
4 years ago
Read 2 more answers
About 11% of adult Americans are left-handed. Suppose that two people are randomly selected from this
marshall27 [118]

Answer:

a) P(X=0)=(2C0)(0.11)^0 (1-0.11)^{2-0}=0.7921  

P(X=1)=(2C1)(0.11)^1 (1-0.11)^{2-1}=0.1958  

P(X=2)=(2C2)(0.11)^2 (1-0.11)^{2-2}=0.0121  

And then we have our probability distribution like this:

X     |       0    |      1     |     2    |

P(X) |  0.7921 | 0.1958 | 0.0121|

b) P(X \geq 1) = P(X=1)+P(X=2) = 0.1958+0.0121=0.2079

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=20, p=0.48)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution for the problem

Part a

On this case since we select a sample size of n =2 we have the following values for the number of left handed X=0,1,2. We can find the probabilities for each case since we know that p=0.11.

P(X=0)=(2C0)(0.11)^0 (1-0.11)^{2-0}=0.7921  

P(X=1)=(2C1)(0.11)^1 (1-0.11)^{2-1}=0.1958  

P(X=2)=(2C2)(0.11)^2 (1-0.11)^{2-2}=0.0121  

And then we have our probability distribution like this:

X     |       0    |      1     |     2    |

P(X) |  0.7921 | 0.1958 | 0.0121|

Part b

For this case we want this probability:

P(X \geq 1) = P(X=1)+P(X=2) = 0.1958+0.0121=0.2079

8 0
3 years ago
Need help with 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12
kobusy [5.1K]

Do oz so oz.  Top oz so off.

3 0
4 years ago
The measure of each angles
Aleks [24]
Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead
4 0
4 years ago
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