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madreJ [45]
3 years ago
5

Select the correct answer.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

x^2 -10x+2

Step-by-step explanation:

(3x^2 - 11x - 4) – (x – 2) (2x + 3)

FOIL

(3x^2 - 11x - 4) – (2x^2-4x+3x-6)

Combine like terms

(3x^2 - 11x - 4) – (2x^2 -x-6)

Distribute the minus sign

3x^2 - 11x - 4 – 2x^2 +x+6

Combine like terms

x^2 -10x+2

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Find the median of 11, 99, 62, 30, 41
gladu [14]

Answer:

41

Step-by-step explanation:

once you put the numbers in numerical order, 11 30 41 62 99, the median (middle number) is 41

3 0
2 years ago
Use the quadratic formula to answer the question below.
ra1l [238]

Answer:

x = -2.32, 10.32 to the nearest hundredth.

Step-by-step explanation:

x^2 - 8x - 24 = 0

x = [ - (-8) +/- sqrt (((-8)^2 - 4*1*(-24)] / 2

= 4 +/- sqrt160/2

= 4 +/- 6.3245

=  -2.32, 10.32.

6 0
3 years ago
A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

    P(\bar X > 4985 psi) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{4985-5500}{\frac{100}{\sqrt{9} } } ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

4 0
3 years ago
Bryan drives at an average speed of 60 miles per hour.
riadik2000 [5.3K]

Answer:

180

Step-by-step explanation:

Multiply 60x3

and you will get 180miles

3 0
3 years ago
Read 2 more answers
Can you please help me with this, I have no idea
sergejj [24]
I have no clue sorry
6 0
3 years ago
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