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3 years ago

Solve x2 + 5x - 1 = 0 Leave your answers in surd form and simplify fully.

Mathematics

1 answer:

Alik [6]3 years ago

8 0

Answer:

x = 0.19258240

x=-5.19258240

Step-by-step explanation:

x = 0.19258240

x=-5.19258240

You might be interested in

Find the distance between the points ( - 10,12) and (15,12).

Nitella [24]

The distance formula is:

$d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

We are given two points in the form (x,y), so plug in the values to the distance formula:

$d= \sqrt{(-10-15)^2-(12-12)^2}$

Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:

$d= \sqrt{(-25)^2}$

The square and square root cancel each other out leaving us with 25.

The answer is 25.

5 0

3 years ago

In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is t

klemol [59]

Answer:

The conclusion about p using an absolute value inequality is

$0.325 < p < 0.375$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.35$

The margin of error is $E = 0.025$

The confidence interval is mathematically represented as

$\r p -E < p < \r p +E$

=> $0.35 - 0.025 < p < 0.35 + 0.025$

=> $0.325 < p < 0.375$

7 0

3 years ago

7 cm 10.5 cm 13 cm Your Turn! 3 m 15 m 11 m 5m

daser333 [38]

Answer: number 1 . 6688.5 then rounded is 6689.

Number 2. 2475

Step-by-step explanation:

3 0

3 years ago

Which inequality represents the solutions to the inequality −5r+18≤2−3r?

Harlamova29_29 [7]

Answer:

2 step equation problems.

Step-by-step explanation:

So you need to replace -3 into that to add -18 on both sides and that gives you the negative number is -20 and then you add the -5r+-3r less than or equal to -20. Now, negative -5 +3 = -8 + -20 = -28. r=-28.

4 0

2 years ago

One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independ

Illusion [34]

Question has missing details

One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independent of one another. Each plotted point can signal either that a manufacturing process is operating correctly or that there is some sort of malfunction. Even when a process is running correctly, there is a small probability that a particular point will signal a problem with the process. Suppose that this probability is 0.05. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly?

Answer:

The probability that at least one of 10 successive points indicates a problem when in fact the process is operating is 0.4013

Step-by-step explanation:

Given

Let P = Probability that a point signals an error incorrectly = 0.05

Let Q = Probability that a point signals an error correctly

P + Q = 1 ---- Make Q the subject of formula

Q = 1 - P where P = 0.05

So, Q = 1 - P becomes

Q = 1 - 0.05

Q= 0.95

Solving for the probability that at least one of 10 successive points indicates a problem when in fact the process is operating.

If two events (P and Q) are independent

Then

P(P n Q) = P(P) * P(Q)

From De Morgan law;

P(P u Q) = 1 - P(P' n Q')

Where P(P u Q) represent the probability that at least one of 10 successive points

P(P' n Q') is calculated as follows;

P(P' n Q') = 0.95^10

P(P' n Q') = 0.59873693923837890625

So,

P(P u Q) = 1 - P(P' n Q') becomes

P(P u Q) = 1 - 0.59873693923837890625

P(P u Q) = 0.40126306076162109375

P(P u Q) = 0.4013 ----- Approximated

The probability that at least one of 10 successive points indicates a problem when in fact the process is operating is 0.4013

7 0

3 years ago