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Goryan [66]
3 years ago
8

9x^2-6x+8=0 what is the fifth step in solving this equation

Mathematics
1 answer:
Simora [160]3 years ago
8 0

Answer:

write the equation as a binomial

Step-by-step explanation:


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What is the value of -2/5 divided by 6/8 PLEASE HELPPP
Tatiana [17]

Answer:

The steps to do :

- \frac{2}{5}  \div  \frac{6}{8}

=  -  \frac{2}{5}  \times  \frac{8}{6}

=  -  \frac{1}{5}  \times  \frac{8}{3}

=  - \frac{1 \times 8}{5 \times 3}

=  -  \frac{8}{15}

7 0
3 years ago
write the possible range of the measurement 214 ounces +1.2% round to the nearest hundredth if necessary
boyakko [2]

9514 1404 393

Answer:

  [211.43,216.57]

Step-by-step explanation:

1.2% of 214 is ...

 0.012 × 214 = 2.568 ≈ 2.57 . . . . rounded to hundredths

Then the minimum possible value is ...

  214 -2.57 = 211.43

and the maximum possible value is ...

  214 +2.57 = 216.57

The range is 211.43 to 216.57.

3 0
3 years ago
What is the range of a cosine function?
salantis [7]

Answer:

The sine and cosine functions have a period of 2π radians and the tangent function has a period of π radians. Domain and range: From the graphs above we see that for both the sine and cosine functions the domain is all real numbers and the range is all reals from −1 to +1 inclusive.

Step-by-step explanation:

6 0
3 years ago
A and B are two events.
Vesna [10]
In order to determine if the events are independent or not we need to find the conditional probabilities.

The conditional probability of event A, given event B is denoted as P(A|B)

P(A|B)= \frac{P(A*B)}{P(B)}

P(A*B) indicates P(A and B)

Using the values, we get:

P(A|B)= \frac{0.28}{0.8}=0.35

Since P(A|B) is not equal to P(A) this indicates that occurrence of event B has an impact on the occurrence of event A. This shows that the two events are dependent.

Therefore, the correct option is the second one.
2. A and B are not independent events because P(A∣∣B)≠P(A)
5 0
3 years ago
Read 2 more answers
Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
3 years ago
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