How many solutions can a consistent system of linear equations have?

abruzzese [7]

Find 10% of it (just move the decimal point one spot to the left) and multiply by 4

6 0

3 years ago

What are the solutions of the quadratic equation (x + 3)(x +3) = 49? Ax = -2 and x = -16 Bx = 2 and x = -10 Cx = 4 and x = -10 D

Ivahew [28]

Answer:

4 and -10

Step-by-step explanation:

$\displaystyle (x + 3)(x +3) = 49 \\ x^2+3x+3x+9=49 \\ x^2 +6x+9=49 \\ x^2 + 6x + 9 - 49 = 0 \\x^2+6x-40=0 \\\\ \Delta=b^2-4ac \\ \Delta=6^2-4 \cdot 1 \cdot (-40) \\ \Delta=36+160 \\ \Delta=196 \\ \\ X_{1,2}=\frac{-b \pm \sqrt{\Delta} }{2a} \\ \\ X_1=\frac{-b+\sqrt{\Delta} }{2a} = \frac{-6+14}{2} = \frac{8}{2}=4 \\ \\ X_2=\frac{-b-\sqrt{\Delta} }{2a} = \frac{-6-14}{2}=\frac{-20}{2} = -10$

4 0

3 years ago

A livestock company reports that the mean weight of a group of young steers is 1143 pounds with a standard deviation of 88 pound

malfutka [58]

Answer:

a) P(x<1200)=74.14%

b) P(1100<X<1250)=57.54%

Step-by-step explanation:

Normal Distribution

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model $N(\mu,\sigma)$ to understand the behavior of some real-life variables. Where $\mu$ is the mean value and $\sigma$ is the standard deviation.

In our case, we have

$\mu=1143,\ \sigma=88$

And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

NORM.DIST(x,mean,standard_dev,cumulative)

a) X<1200

The formula is used with the following parameters

NORM.DIST(1200,1143,88,true)

and we get

$P(X$

b) We need to compute P(1100<X<1250). To do this, we calculate both left tails and the subtract them

NORM.DIST(1100,1143,88,true)=0.3125

NORM.DIST(1250,1143,88,true)=0.8880

$P(1100$

$\boxed{P(1100$

6 0

3 years ago

Is 5 rational or irrational?

kaheart [24]

Answer:

That would be rational

Step-by-step explanation: If you want to break it down it would be because when I look back to middle school Rational were not even to their numerator and denominator but not sure how that applies if you have 5/5 but your answer is rational hopes this helps.

6 0

3 years ago

Add.

gayaneshka [121]

Answer:

8 7/24 hope this helps

Step-by-step explanation:

7 0

3 years ago

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