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Alborosie
4 years ago
11

Solve for x in the equation x^2+4x-4 = 8.

Mathematics
1 answer:
ollegr [7]4 years ago
8 0

Answer:

Its the first choice.

Step-by-step explanation:

x^2+4x-4 = 8

x^2 + 4x - 4 - 8 = 0

x^2 + 4x - 12 = 0

(x + 6)(x - 2) = 0

x = -6, 2.

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valentinak56 [21]

Answer:

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Step-by-step explanation:


4 0
4 years ago
In one statistics course, students reported studying an average (mean) of 9.92 hours a week, with a standard deviation of 4.54.
quester [9]

Answer:

For the student who is studying 10 hours a week is in the 57.93th percentile.

Step-by-step explanation:

Corresponding z-score for the student who studies 10 hours a week can be calculated by the formula

z=\frac{x-M}{s} where

  • x is the hours student work in a week, which is 10,
  • M is the mean studying hour of the class, which is 9.92,
  • s is the standart deviation which is 4.54

from here we find that z=\frac{10-9.92}{4.54}≈0.2

Corresponding percentile for z=0.2 is 57.93

6 0
3 years ago
Which equations illustrate the associative property of addition? Choose exactly two answers that are correct.
sveticcg [70]
Solutions 

Associative Property is a rule that refers to grouping. The rule is "<span>a + (b + c) = (a + b) + c</span><span>". 
</span>
The correct answers are (A) and (D) 

(A) = <span> (11 + 2.2) + (–5) = 11 + [2.2 + (–5)] 

(D) = </span><span>–7 + [4 + (–2.1 • 6)] = (–7 + 4) + (–2.1 • 6)</span> 
5 0
4 years ago
The area of a rectangular piece of sheet metal is 216 ft. the width of the sheet is 6 ft less than the length what are the dimen
Ludmilka [50]
Just multiply lol i think
4 0
3 years ago
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on
Iteru [2.4K]

Answer:

P(X_i=2) =\dfrac{1}{6}

P(X_i=-1) =\dfrac{5}{6}

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

_nC_r = \frac{n!}{r!(n-r)!}

Here, n = 4 and r = 2.

So, total number of ways = _4C_2  = \frac{4!}{2!\times 2!} = 6

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. _2C_2 = \frac{2!}{2! 0! } = 1

Now, let us have a look at the formula of probability of an event E:

P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}

So, the probability of winning.

P(X_i=2) =\dfrac{1}{6}

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

P(X_i=-1) =\dfrac{5}{6}

Please refer to the attached image for answer table.

7 0
3 years ago
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