30 × x = 90

Plzzz help

Answers

Answer 1

Answer: 30 × x = 90

90 ÷ 30 = 3

So, x = 3.

Check:-

30 × 3 = 90

Hope I helped ya!!!☺☺☺

Answer 2

Answer: Divide 90 by 30 to find the value of x.
90/30=3.
So x=3.

To check, substitute x as 3 in the equation. We get 30 X 3 = 90. We find that this is true. So x=3.

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What is the answer for -5x-4=?

Answers

if you want to solve for x
-5x-4=?
add 4 to both sides
-5x=4+?
divide both sides by -5
x=(4+?)/-5
x=-(4+?)/5

Add 4 to each side to get -5x=4+?. then divide each by 5, -x=(4+?)/5 then make x positive and 4/5 negative! x=-(4+?)/5. Hope this helped!

Find an exact value cos(19pi/12)

Answers

$cos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}$

Step-by-step explanation:

We know that

cos 2x = 2cos²x - 1

So we have

$cosx=\sqrt{(1+cos2x)/(2)}$

Substituting $x=(19\pi)/(12)$

$cos\left ( (19\pi)/(12)\right )=\sqrt{(1+cos2\left ( (19\pi)/(12)\right ))/(2)}\n\ncos\left ( (19\pi)/(12)\right )=\sqrt{(1+cos\left ( (19\pi)/(6)\right ))/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(1+cos570)/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(1-(√(3))/(2))/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(2-√(3))/(4)}\n\ncos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}$

$cos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}$

19 π / 12 = 19 * 180° / 12 = 285 °
cos ( 19 π / 12 ) = cos 285° = cos ( - 75° ) = cos 75°
cos 75° = cos ( 45° + 30° ) = cos 45° cos 30° - sin 45° sin 30° =
= ( √2 / 2 · √3/2 ) - ( √2 / 2 · 1/2 ) = √6/4 - √2/4 =
= ( √6 - √2 )/ 4

Hi, I need help with this equation x²+y²-4x-6x+9=0

Answers

$x^2+y^2-4x-6y+9=0\n\n x^2-4x+16+y^2-6y+9-16=0\n\n(x-4)^2+(y-3)^2=16\n\nthis\ is\ the\ equation\ of\ a\ circle:\ \ (x-a)^2+(y-b)^2=r^2\n\ncenter\ \ S=(4;3)\ \ \ and\ \ \ radius\ \ r =4$

1 Suppose you choose at random a real number X from the interval [2, 10]. (a) Find the density function f(x) and the probability of an event E for this experiment, where E is a subinterval [a, b] of [2, 10]. (b) From (a), find the probability that X > 5, that 5 < X < 7, and that X2 − 12X + 35 > 0.

Answers

Answer:

Step-by-step explanation:

Given that you choose at random a real number X from the interval [2, 10].

a) Since this is a contnuous interval with all number in between equally likely

E = probability for choosing a real number is U(2,10)

pdf of E is $(1)/(8)$

b) P(X>5) = $\int\limits^10_5 {1/8} \, dx = (5)/(8)$

$P(5<x<7) = (2)/(8) =(1)/(4)$

For

$x^2-12x+35 >0\n(x-5)(x-7)>0\nx<5 or x >7$

P(X<5 or x>7) = 1-P(5<x<7)

= $(3)/(4)$

Final answer:

The density functionof a real number selected randomly within the range [2,10] is 1/8, with the probability of an event being the difference between the two values divided by 8. The probabilities that X is greater than 5, lies between 5 and 7 and that the inequality X^2 - 12X + 35 > 0 always holds are 5/8, 1/4 and 1 respectively.

Explanation:

The subject of this question is probability, particularly continuous uniform distribution. (a) A real number X selected from a certain interval [2, 10] has a continuous uniform distribution. Hence, the density function f(x) = 1/(b-a) = 1/8 for 2 ≤ x ≤ 10 and0otherwise. The probability of an event E, where E is [a,b], is the integral of f(x) from a to b, which is (b-a)/(10-2).

(b) Probability that X > 5 is the integral of f(x) from 5 to 10, which is (10-5)/8 = 5/8. Probability that 5 < X < 7 is the integral from 5 to 7, which is (7-5)/8 = 1/4. Lastly, the inequality X^2 - 12X + 35 > 0 factors out to (X-5)^2 + 10 > 0 which is always true as square number is always non-negative, thus the probability is 1.

Learn more about Probability here:

brainly.com/question/22962752

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Last year, manuel saved $50 per month . this year, he increases his monthly savings by 25%. he plans to buy a smart phone for $375. at this rate, how long will it take him to save enough money to buy the smart phone if he starts saving for it this year?

Answers

First multiply 50 and .25 to find out how much extra he is saving, $12.5 Then add that to 50 to get $62.5. Divide $375 by $62.5 to get 6. It will take 6 months to save the money. Hope this helps!

Explain what happens when you round 4.999 to the nearest tenth?