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SOVA2 [1]
3 years ago
10

Factor:x^2 + 9x - 36 = 0​

Mathematics
2 answers:
Yuliya22 [10]3 years ago
8 0
Just search it up and You’ll find it

alexdok [17]3 years ago
7 0

Answer:

I'm pretty sure it's x = 12, -3

Step-by-step explanation:

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(Show full work please) Carter spots an airplane on radar that is currently approaching in a straight line, and
Otrada [13]

Consult the attached diagram.

In the larger triangle,

tan(16°) = (7250 ft) / (<em>x</em> + <em>y</em>)

and in the smaller triangle,

tan(26°) = (7250 ft) / <em>y</em>

You want to solve for <em>x</em>.

From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have

(<em>x</em> + <em>y</em>) tan(16°) = 7250

<em>x</em> tan(16°) + <em>y</em> tan(16°) = 7250

<em>x</em> tan(16°) = 7250 - <em>y</em> tan(16°)

<em>x</em> = 7250 cot(16°) - <em>y</em>

<em />

From the second equation,

<em>y</em> = 7250 cot(26°)

Solving for <em>x</em> gives

<em>x</em> = 7250 cot(16°) - 7250 cot(26°)

<em>x</em> = 7250 (cot(16°) - cot(26°))

<em>x</em> ≈ 10,433 ft

8 0
3 years ago
What is -5/6 ÷ 9 /10 ?
vredina [299]
D: -25/27
-5/6  ÷  9/10  =  5/6  x   10/9   *when diving fractions, use recipricals.*
-5/6  ÷  10/9  =  - 25/27  *just multiply each numerator and denominator*
8 0
3 years ago
We learned in that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty
maw [93]

Answer:

(1) The expected number of people who would have consumed alcoholic beverages is 34.9.

(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.

Step-by-step explanation:

Let <em>X</em> = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.697.

A random sample of <em>n</em> = 50 adults in the age group 18 - 20 years is selected.

An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 0.697.

The probability mass function of a Binomial random variable <em>X</em> is:

P(X=x)={50\choose x}0.697^{x}(1-0.697)^{50-x};\ x=0,1,2,3...

(1)

Compute the expected value of <em>X</em> as follows:

E(X)=np\\=50\times 0.697\\=34.85\\\approx34.9

Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.

(2)

Compute the standard deviation of <em>X</em> as follows:

SD(X)=\sqrt{np(1-p)}=\sqrt{50\times 0.697\times (1-0.697)}=10.55955\approx10.56

Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3)

Compute the probability of <em>X</em> ≥ 45 as follows:

P (<em>X</em> ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)

                =\sum\limits^{50}_{x=45} {50\choose x}0.697^{x}(1-0.697)^{50-x}\\=0.0005+0.0001+0.00002+0.000003+0+0\\=0.000623\\\approx0.0006

The probability that 45 or more have consumed alcoholic beverages is 0.0006.

An unusual or surprising event is an event that has a very low probability of success, i.e. <em>p</em> < 0.05.

The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.

Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.

6 0
3 years ago
The sum of three consecutive intergers is 267. What is the largest interger?​
pav-90 [236]

90

Step-by-step explanation:

4 0
3 years ago
Find the area of the figure.
Aloiza [94]

Answer:

Step-by-step explanation:

4 0
2 years ago
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