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2 years ago

Three times a number increased by four is less than -62.

Mathematics

2 answers:

sesenic [268]2 years ago

7 0

The answer will be x<-22

klemol [59]2 years ago

6 0

Answer: x<-22

Step-by-step explanation:

3x+4<-62

3x<-66

x<-22

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

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:

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

And we want to find this probability:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

$P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727$

6 0

2 years ago

A triangle was dilated by a scale factor of 6. If sin aº

Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

8 0

3 years ago

Here is an expression: 2 + 3t

Dima020 [189]

2+3t
When t is 1
2+3(1)
2+3
5

When t is 4
2+3(4)
2+12
14

3 0

2 years ago

Read 2 more answers

Find the perimeter of the triangle. Recall that the perimeter of a figure is the distance around a figure.

Svet_ta [14]

Answer:

1 inch

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides:

Perimeter = 3/23 + 9/23 + 11/23 = (3 + 9 + 11)/23 = 23/23 = 1

8 0

2 years ago

Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles.

Step2247 [10]

I hope this helps

Answer:

32.75

Step-by-step explanation:

If you divide 131 by 4 (131/4), then you should get the answer 32.75, so if you need to round it, round it to 31, and if you do not need to round it, then it will be 32.75

4 0

2 years ago