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4 years ago

10

You can determine by the discriminant whether the solutions to the equation are real or _______ numbers.

1 answer:

True [87]4 years ago

5 0

I think the answer would have to be complex

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Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 9 adult smartphone use

valina [46]

Answer:

0.18173219.

Step-by-step explanation:

We have been asked to find what will be the probability that at least 6 of 9 adults use their smartphones in meetings or classes.

We will find our answer using Bernoulli's trails.

$_{r}^{n}\textrm{c}\cdot p^{r}\cdot (1-p)^{n-r}$

First of all we will find the probabilities when r is 6, 7,8 and 9 then we will add them all.

When r=6,

$_{6}^{9}\textrm{c}\cdot 0.46^{6}\cdot (1-0.46)^{9-6}$

$\frac{9!}{6!3!} *0.46^{6} *0.54^{3}$

$\frac{9*8*7*6!}{6!*3*2*1} *0.009474296896*0.157464$

$84*0.009474296896*0.157464=0.12532$

Similarly we will find Probabilities when r=7, 8 and 9.

When r=7

$_{7}^{9}\textrm{c}\cdot 0.46^{7}\cdot (1-0.46)^{9-7}$

$\frac{9!}{7!2!} *0.46^{7} *0.54^{2}$

$\frac{9*8*7!}{7!*2*1} *0.00435817657216*0.2916$

$36*0.00435817657216*0.2916=0.04575039$

When r=8

$_{8}^{9}\textrm{c}\cdot 0.46^{8}\cdot (1-0.46)^{9-8}$

$\frac{9!}{8!1!} *0.46^{8} *0.54$

$\frac{9*8!}{8!*1!} *0.00200476*0.54$

$9 *0.00200476*0.54=0.0097431336$

When r=9,

$_{9}^{9}\textrm{c}\cdot 0.46^{9}\cdot (1-0.46)^{9-9}$

$\frac{9!}{9!0!} *0.46^{9} *1$

$1 *0.00092219*1=0.00092219$

Now let us add all the probabilities to get the final answer.

$0.12532+0.04575+0.00974+0.00092219=0.18173219$

Therefore, probability that at least 6 of 9 adults use their smartphones in meetings or classes is 0.18173219.

6 0

4 years ago

Read 2 more answers

The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.

quester [9]

Answer: $ar^{n-1}=54(\dfrac{1}{3})^{n-1}$

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

$a_n=ar^{n-1}$ (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term= $\dfrac{2}{3}$ (2)

Put n=5 and a= 54 in (1), we get

$a_5=(54)r^{4}=$ (3)

From (2) and (3), we have

$\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}$

Explicit form for the geometric sequence: $ar^{n-1}=54(\dfrac{1}{3})^{n-1}$

3 0

4 years ago

Solve the equation -10x + 1 + 7 = 37

Aneli [31]

Answer:

-2.9

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like factors.

-10x + 8 = 37

Subtract 8 from both sides.

-10x = 29

Divide both sides by -10.

x = -2.9

6 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through 10, -8 1,12

photoshop1234 [79]

Answer:

im really bad at math but here

Step-by-step explanation:

hi my

5 0

3 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

PolarNik [594]

Answer:

by mid point formula,

$\frac{9+x}{2}=11 \\ \implies x= 13$

similarly, $\frac{1+y}{2}=4 \\ \implies y,= 7$

endpoint is (13,7)

8 0

3 years ago