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3 years ago

Use the distributive property to expand -4 (-2+3x). Which is an equivalent expression?

Mathematics

1 answer:

Verizon [17]3 years ago

4 0

Answer:

The answer should be 8-12x......if i take a wild guess out of your answer choices, would say C.

Step-by-step explanation:

-4 (-2+3x)

[carry over the -4 to (-2) and (3x) ]

8-12x

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The sides of a triangle are (x+5), and (x+8) units. Find the value of x if the perimeter of the triangle is 106 units.

lutik1710 [3]

106=x+x+5+x+8

106=3x+13

3x=93

x=31

(the sides are 31, 36, 39 respectively)

5 0

3 years ago

1. How many parts have the same color? 2. Identify the colors that occupies the first three largest part.

Jlenok [28]

9514 1404 393

Answer:

no parts have the same color (0)
yellow, blue, red
percentages can be written in several forms: fraction, decimal, for example. The sectors can also be identified by their angle measures.
see attached

Step-by-step explanation:

1. The seven different sectors have seven different colors. No parts have the same color.

2. The attached table lists the sectors in decreasing order of size. The largest three are yellow, blue, red.

3. Percentages can be written a number of ways. They can be written as decimal numbers, or as fractions. In a pie chart, the sectors can also be given an angle measure.

4. Fraction equivalents of the percentages are shown in the attached.

5. Reduce fraction equivalents of the percentages are shown in the attached.

4 0

3 years ago

The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.15. If there a

sashaice [31]

Answer:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

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

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

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

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: $P(A)+P(A') =1$

Solution to the problem

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

$X \sim Binom(n=10, p=0.15)$

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

what is the probability that at least one error made?

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule:

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

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors and at least one error

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

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

8 0

3 years ago

What happens when warm air collides with cold air and is forced to rise over cold dome.

igor_vitrenko [27]

Answer:

Something to raise the moist air to form the clouds and cause precipitation. An example of lift is warm air colliding with cold air and being forced to rise over the cold dome. The boundary between the warm and cold air masses is called a front.

Step-by-step explanation:

6 0

3 years ago

Which facts could be applied to simplify this expression? Check all that apply.

Lubov Fominskaja [6]

Answer:

i think ii first add 5x + x then you can remove the parentheses, group similar terms and add similar elements

Step-by-step explanation:

3 0

3 years ago