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3 years ago

Simplify these expressions a) 5x +3x + 2y + 4y

Mathematics

2 answers:

exis [7]3 years ago

8 0

Answer:

2( 4x + 3y)

Step-by-step explanation:

5x +3x + 2y + 4y

Combine like terms.

8x + 6y

Factorize the answer.

2( 4x + 3y)

vfiekz [6]3 years ago

6 0

Answer: 8x+7y

Step-by-step explanation:

5x+3x+2y+4y

Combine like terms:

Ans: 8x+3y

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What is 5x10 expanded form

Allushta [10]

5x10 in expanded form is 500.

7 0

3 years ago

The circle graphs show the percentage of men and women from Country X who consider owning a home an important part of adult life

morpeh [17]

Answer: a) 76 : 24

b) 24 : 76

Step-by-step explanation: Odds describe the possibility an event will occur, i.e., is the ratio of an event being successful with the chance of an event failing. It can be in favor or against:

Odds in favor is expressed as: $favor=\frac{favorable}{unfavorable}$ ;
Odds against is expressed as: $against=\frac{unfavorable}{favorable}$ ;

a) Odds in favor

$favor=\frac{76/100}{24/100}$

$favor=\frac{76}{24}$

favor = 76 : 24

Odds in favor of a man agreeing owning a house is an important part of adult life is 76 : 24.

b) Odds against

$against=\frac{24/100}{76/100}$

$against=\frac{24}{76}$

against = 24 : 76

Odds against of a man agrreing that owning a house is an important part of adult life is 24 : 76

8 0

3 years ago

A CBS News/New York Times survey found that 97% of Americans believe that texting while driving should be outlawed (CBS News web

Murrr4er [49]

Answer:

a) $P(X\geq 8)=0.0317+0.228+0.737=0.9972$

b) $P(X>95) =1-P(X$

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

Part a

We want this probability:

$P(X\leq 12)$

$P(X\geq 8)=P(X=8)+P(X=9)+P(X=10)$

$P(X=8)=(10C8)(0.97)^8 (1-0.97)^{10-8}=0.03174$

$P(X=9)=(10C9)(0.97)^9 (1-0.97)^{10-9}=0.2287$

$P(X=10)=(10C10)(0.97)^{10} (1-0.97)^{10-10}=0.7374$

$P(X\geq 8)=0.0317+0.228+0.737=0.9972$

Part b

We need to check if we can use the normal approximation , the conditions are:

$np=100*0.97=97>10$ and $n(1-p)=100*(1-0.97)=3$

On this case the second condition is not satisfied, but the problem says that we can use it. So then if we apply the normal approximation to the binomial distribution in our case:

$X \sim N(\mu=97,\sigma=1.706)$

We can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And we want this probability:

$P(X>95) = P(Z>\frac{95-97}{1.706})= P(Z>-1.17)$

And we can use the complment rule and we got:

$P(X>95) =1-P(X$

6 0

3 years ago

Pls help I’ll brainlest and add extra points

Ganezh [65]

6- neither of the treatments helped dispel the green lime.
7-control group- water
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3 0

3 years ago

Why does the author refer to a strangely

wariber [46]

Answer:

Step-by-step explanation:

I think

3 0

4 years ago