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goblinko [34]
3 years ago
7

The difference of the square of a number and 5 is equal to 4 times that number. Find the negative solution

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

Answer:

x = - 3

Step-by-step explanation:

x² - 5 = 4

x² = 4 + 5

x² = 9

x = ± 3

the negative solution

x = - 3

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2 years ago
Pls help me with this multiple choice !
lana66690 [7]

Answer:

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Step-by-step explanation:

\sin(60)  =  \frac{6 \sqrt{3} }{x}  \\ x =  \frac{6 \sqrt{3} }{ \sin(60) }  = 12 \\  \tan(60)  =  \frac{6 \sqrt{3} }{y}   \\ y =  \frac{6 \sqrt{3} }{ \tan(60) }  =   6

8 0
2 years ago
suppose that O has coordinates (0,0),and the points P and Q have coordinates that are whole numbers between 0 and 2, inclusive.
pishuonlain [190]

Answer:

Step-by-step explanation:

suppose that O has coordinates (0,0),and the points P and Q have coordinates that are whole numbers between 0 and 2, inclusive. One example of a triangle with O,P, and Q as vertices is shown below . how many such triangle are right triangle ?

4 0
3 years ago
In a​ study, 36​% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop
steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36​% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this​ area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health.

i.e. P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

Formula :P(x=r)=^nC_r p^r q ^ {n-r}

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!}  (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=0.390748

Hence  the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health is 0.3907

5 0
3 years ago
Is 6 15/28 or 6 5/9 bigger?
spayn [35]

Answer:

6 \frac{5}{9}

is greater than

6 \frac{15}{28}

4 0
3 years ago
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