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3 years ago

Which one is it? A, B, C, or D?

Mathematics

1 answer:

grigory [225]3 years ago

3 0

Answer: I'd go with C

Step-by-step explanation:

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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

Find the rate of change, or slope, in the following equation:

Elena-2011 [213]

The answer is -4.

Step-by-step explanation:

the number before the x is how u can tell

3 0

3 years ago

Read 2 more answers

Which one is it? Will receive Brainliest!!!

Bezzdna [24]

$\huge\text{Hey there!}$

$\large\text{GUIDE}\downarrow\\\\\large\text{\bf{ Trinomial}}\large\text{ equals \bf{THREE TERMS}}\large\text{ because \underline{TRI means}}\\\large\text{\underline{THREE}}\\\\\large\text{\bf{Monomial}}\large\text{ equals \bf{ONE TERM}}\large\text{ because\underline{ MONO means ONE}}\\\\\large\text{\bf{Polynomial}}\large\text{ equals SEVERAL TERMS because \underline{POLY means MULTIPLE}}\\\\\large\text{\bf{Binomial}}}\large\text{ equals \bf{TWO TERMS}}\large\text{ because \underline{BI means TWO}}}$

$\large\text{We have approximately FOUR TERMS, so we could ELIMINATE}\\\large\text{OPTIONS A through B and Option D as a possible answer}\\\large\text{because remember what we said.. tri is three, mono is one, \& bi is two}$

$\text{This leaves \bf{\underline{option C}}}\text{ as your given \underline{answer}}\text{ because it has MANY terms }$

$\boxed{\boxed{\large\textsf{Answer: \large\text{\bf{C. polynomial}}}}}}\huge\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

4 0

3 years ago

What is the equation of a line with a slope of −4 and a point (−2, 5) on the line? Express the equation in the form

Alja [10]

Answer:

y = - 4x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

Here m = - 4, thus

y = - 4x + b ← is the partial equation

To find b substitute (- 2, 5) into the partial equation

5 = 8 + b ⇒ b = 5 - 8 = - 3

y = - 4x - 3 ← equation of line

6 0

3 years ago

Read 2 more answers

6 and 7? Geometry homework

Rashid [163]

Answer:

Step-by-step explanation:

6) triangle ABC is similar to triangle DEC. It means that

AB/DE = BC/EC = AC/DC

Therefore,

6/21 = 10/y

Cross multiplying, it becomes

6y = 210

y = 210/6

y = 35

Also

6/21 = x/28

Cross multiplying, it becomes

6 × 28 = 21x

21x = 168

x = 168/21

x = 8

7) triangle JKL is similar to triangle NMP. It means that

JK/NM = KL/MP = JL/NP

Therefore,

49/14 = (9x + 1)/(x + 5)

Cross multiplying, it becomes

49(x + 5) = 14(9x + 1)

49x + 245 = 126x + 14

126x - 49x = 245 - 14

77x = 231

x = 231/77

x = 3

4 0

4 years ago