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3 years ago

12

Alberto has 2 cats. The smaller car weighs 10 3/4 pounds. The larger cat weighs 15 1/3 pounds. How much do the cats weigh altoge

ther?
A.26 1/12
B.26 11/12
C.25 4/7
D.25 7/12

1 answer:

il63 [147K]3 years ago

5 0

Answer:

A. 26 1/12

Step-by-step explanation:

10 3/4 + 15 1/3 + 26.08333333 or 26 1/12

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Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 7 adult smartphone use

Morgarella [4.7K]

Answer:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

Step-by-step explanation:

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".

Solution to the problem

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

$X \sim Binom(n=7, p=0.51)$

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:

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

For this case we want to find this probability:

$P(X \geq 3)$

And we can use the complement rule for this case:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

7 0

3 years ago

Which expression is equivalent to the following complex fraction?

mamaluj [8]

The equivalent expression of $1 - \frac{1}{x} \div 2$ is $\frac{2x - 1}{2x}$

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

1 minus StartFraction 1 Over x EndFraction divided by 2

Rewrite properly as:

$1 - \frac{1}{x} \div 2$

Express the division as product

$1 - \frac{1}{x} \times \frac 12$

Evaluate the product

$1 - \frac{1}{2x}$

Take the LCM

$\frac{2x - 1}{2x}$

Hence, the equivalent expression of $1 - \frac{1}{x} \div 2$ is $\frac{2x - 1}{2x}$

Read more about equivalent expression at:

brainly.com/question/27911936

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2 years ago

1. Find the surface area of the triangular pyramid.

marshall27 [118]

Look on this website they have all the answer getmathhelp.net

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3 years ago

3. At a bargain store, Tanya bought 4 items that each cost the same amount. Tony bought 5 items that each cost the same amount,

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Tanya spent $9.00 on each item; Tony spent $6.75 on each of his items.

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4 years ago

Solve for x: 4 − (x + 2) < −3(x + 4) 90 points!!!!!

slava [35]

Hello :)

First, solve each side before we solve the inequality

4 − (x + 2)

−3x − 12

− (x+2)

4 − x − 2

*group the like terms*

− x + 4 − 2

− x + 2

−3(x + 4)

−3(x + 4)

3x − 12

− x + 2 < 3x − 12

subtract 2 from both sides

− x + 2 < −3x − 12

-2 -2

−x < − 3x − 14

add 3x to both sides

−x < − 3x − 14

+3x +3x

2x < − 14

divide both sides by 2

$\frac{2x}{2}$ < $\frac{-14}{2}$

<h2>x < − 7</h2>

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3 years ago