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3 years ago

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The first four terms of a sequence are shown below. 18, 25, 32, 39,… Which expression could be used to find the nth term of the

sequence? 7 + 18(n-1) 7 + 18n 18 + 7(n-1) 18 + 7n

1 answer:

labwork [276]3 years ago

8 0

Answer: 18 + 7n

Step-by-step explanation:

ex: 1st term of sequence

18 + 7(1) = 25

2nd term of sequence:

18 + 7(2) = 32

and so on....

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How do you solve for x when you have this problem below please explain !!

Rzqust [24]

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

<u>Corresponding angles are congruent.</u>

So,

Angle 6x+4° and 100° will be congruent or equal

$6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16$

Hence,

The value of x is 16

3 0

3 years ago

What is the length of AB

tester [92]

I believe the answer would be B.

8 0

3 years ago

PLEASE HELP ASAP NOW WILL MARK BRAINIEST LOTS OF POINTS!!!! HELP NOWWWWWWWWWWW 22. Explain why an sin^-1(sin(3pi/4))not equal 3p

NemiM [27]

22. The range of the arcsine function (sin⁻¹(x)) is [-π/2, π/2]. The function will return π/4 for arcsin(sin(3π/4)) = arcsin(1/√2).

The sine function does not pass the horizontal line test, so it has no inverse over its entire domain. The arcsine function is only the inverse of the sine function over a limited domain/range.

25. sin(cos(π/2)) = sin(0) = 0.

As with any nested function evaluation, you evaluate the inner function first.

... cos(π/2) = 0

Then you evaluate the outer function.

... sin(0) = 0

7 0

3 years ago

Twenty-five percent of the customers entering a grocery store between 5 P.M. and 7 P.M. use an express checkout. Consider five r

diamong [38]

Answer:

a) $P(X=1)=(5C1)(0.25)^1 (1-0.25)^{5-1}=0.39551$

b) $P(X \leq 1) = P(X=0) +P(X=1)=0.23730+0.39551 =0.63281$

c) $P(X \geq 2) = 1-P(X$

And for this case we can use the result from part b

$P(X \geq 2) = 1-P(X$

d) $P(X \neq 1)$ since the random variable just takes values between 0 and 5 we can use the complement rule like this:

$P(X \neq 1) = 1-P(X=1)= 1-0.39551=0.60449$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Part a

For this case our random variable X who represent the "number among the five who use the express checkout." follows $X \sim Bin (n=5, p=0.25)$

And we can find P(X=1) replacing on the mass function like this:

$P(X=1)=(5C1)(0.25)^1 (1-0.25)^{5-1}=0.39551$

Part b

For this case assuming that we want to find this probability $P(X \leq 1)$ we can do this:

$P(X \leq 1) = P(X=0) +P(X=1)$

$P(X=0)=(5C0)(0.25)^0 (1-0.25)^{5-0}=0.23730$

$P(X=1)=(5C1)(0.25)^1 (1-0.25)^{5-1}=0.39551$

$P(X \leq 1) = P(X=0) +P(X=1)=0.23730+0.39551 =0.63281$

Part c

We can find $P(2 \leq X)$ replacing on the mass function like this, using the complement rule:

$P(X \geq 2) = 1-P(X$

And for this case we can use the result from part b

$P(X \geq 2) = 1-P(X$

Part d

Assuming that we want to find this probability:

$P(X \neq 1)$ since the random variable just takes values between 0 and 5 we can use the complement rule like this:

$P(X \neq 1) = 1-P(X=1)= 1-0.39551=0.60449$

6 0

3 years ago

The diagram shows the dimensions of a solid concrete patio in the shape of a right rectangular prism.

sammy [17]

Answer: A

Step-by-step explanation: i multiplied all the sides

7 0

3 years ago