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3 years ago

Identify whether each phrase is an expression, equation or inequality.

Mathematics

2 answers:

katrin [286]3 years ago

4 0

$\frac{7}{y} < 6$ is an inequality.

$3-2$ is an expression.

$4x^{2} +8=9$ is an equation.

kozerog [31]3 years ago

4 0

Answer:

[see below]

Step-by-step explanation:

An equation is a mathematical statement that states that two expressions are equal. Equations have an equal sign.

An inequality is a mathematical statement that states that two expressions are greater than, less than, greater than or equal to, or less than or equal to.

An expression is a combination of mathematical symbols that show the value of something. It does not have any inequality sign nor an equal sign.

$\frac{7}{x}< 6$ is an inequality. It has a less than sign.

3 - 2 is an expression. It does not have any inequality sign nor an equal sign.

$4^2+8=9$ is an equation. It includes an equal sign.

Hope this helps you.

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A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 14 adults are

Alexxandr [17]

Answer:

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

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

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:

$X \sim Binom(n=14, p=0.79)$

For the first part we want this probability:

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

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

4 0

3 years ago

Help me please +brainliest

solmaris [256]

Ok let's start with question 1.

1. The equation is given. If she advices 360 people each week for 4 week she earns...

4(80+360(15)/100) = $536

2. In this problem instead of evaluating M we solve for n with M given.

140=80+15n/100

n=400 people

3. The new equation will still follow the same format.

M=65+21n/100

4. This will be the intersection point of the two lines. So when does...

80+15n/10=65+21n/100

We just have to solve for n.

-0.06n=-15

n=250 people

6 0

3 years ago

Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. Find the range, variance, and standard de

soldi70 [24.7K]

Answer:

$Range= Max-Min= 10.2-8.7=1.5 inches$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 0.50 inches$

$s^2 = 0.503^2 = 0.25 in^2$

D. The statistics are representative because they are taken from a random sample

Step-by-step explanation:

For this case we have the following data:

9.9 8.7 10.1 9.2 9.2 9.9 10.1 9.4 9.1 9.3 10.2

The data was colledted from a random sample of people selected in 1988.

We can order the dataset on increasing way and we got:

8.7 9.1 9.2 9.2 9.3 9.4 9.9 9.9 10.1 10.1 10.2

The range is defined as $Range= Max-Min= 10.2-8.7=1.5 inches$

The mean is defined as:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}= 9.555 inches$

The standard deviation can be calculated with the following formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 0.50 inches$

The sample variance would be just the deviation squared:

$s^2 = 0.503^2 = 0.25 in^2$

And since the data comes from a random sample then is representative fo the population data in 1988. So then the best answer for this case would be:

D. The statistics are representative because they are taken from a random sample

3 0

3 years ago

Which of the following represents a function?

statuscvo [17]

D is the answer because the x value does not contain any of the same numbers.

8 0

3 years ago

The sum of two numbers is 37. The greater number is 5 more than three times the lesser number. What is the lesser of the two num

labwork [276]

Answer: Lesser number is 8

Step-by-step explanation:

Let the smaller number be y.

Greater number= (3×y)+ 5 = 3y+5

y+3y+5 = 37

4y + 5 = 37

4y= 37-5

4y=32

y=8

Smaller number is 8

Bigger number is 3y+5= (3×8)+5 = 29

7 0

3 years ago

Read 2 more answers