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3 years ago

HURRY

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

I think it is the e first one A because if the graph shows that it’s in one so I think the if you but it in one I think that the gragh also has to show 9

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What would be the slope intercept form for the inequality 3 x − 2 y > 5 ?

tensa zangetsu [6.8K]

Answer:

y < 3/2x - 5/2 or y < 3/2 x - 2.5

Step-by-step explanation:

3x -2y > 5

Solve for y

3x - 2y > 5 when solving a problem with an inequality sign, rewrite the problem and solve with an equal sign and add the equality at the end.

3x - 2y = 5

-2y = -3x + 5

y = -3/-2x+ 5/-2

y = 3/2x - 2 1/2

Now if you have to use the inequality sign, you will use < because the y term was negative and that will change the direction of the inequality sign.

So y < 3/2x - 5/2 or y < 3/2 x - 2.5

3 0

2 years ago

in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person

Assoli18 [71]

Answer:

c. A and C

Step-by-step explanation:

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:

$X \sim Binom(n=100, p=0.11)$

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:

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

We need to check the conditions in order to use the normal approximation.

$np=100*0.11=11 > 10 \geq 10$

$n(1-p)=100*(1-0.11)=99 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.11=11$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.11(1-0.11)}=3.129$

Part A

We want this probability:

$P(X \geq 12) = 1-P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(X \geq 12) = 1-P(X$

Part B

P(X>12) = 1-P(X\leq 12) = 1-P(Z< \frac{12-11}{3.129})=1-0.625=0.375[/tex]

Part C

$P(10\leq X \leq 14) = P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(10 \leq X \leq 14) =P(Z< \frac{14-11}{3.129}) -P(Z< \frac{10-11}{3.129})=P(Z$

So then the best option is : c. A and C

8 0

4 years ago

which property is illustrated by the following statement? 2(-3/9)=(-3/9)2^? Associative Property of Addition, Commutative Proper

Ratling [72]

Consider the given statement:

$2(\frac{-3}{9}) = (\frac{-3}{9})2$

We have to identify the property used in this statement.

1. Associative Property of Addition: Let a,b and c be three real numbers. This property states that $a+(b+c) = (a+b)+c$ . This property is not used in the given statement.

2. Commutative property of multiplication: Let 'a' and 'b' be two real numbers. This property states that $a \times b = b \times a$ .

In the given statement, $2(\frac{-3}{9}) = (\frac{-3}{9})2$

This statement holds commutative property of multiplication as whether 2 is multiplied to $\frac{-3}{9}$ or $\frac{-3}{9}$ is multiplied to 2, the result is same.

So, Commutative property of multiplication is illustrated in this statement.

3. Inverse property of multiplication: A number 'a' is said to have an inverse ' $\frac{1}{a}$ ' if $a \times \frac{1}{a}=1$ . This property is not used in the given statement.

4. Commutative property of addition: Let 'a' and 'b' be two real numbers. This property states that $a+b = b+a$ . This property is not used in the given statement.