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Diano4ka-milaya [45]
2 years ago
6

The quotient of a number and 3 minus two is at least -12

Mathematics
1 answer:
Amanda [17]2 years ago
6 0
X/3 - 2 greater than or equal to -12
add two
x/3 is greater than or equal to -10
now multiply both sides by 3
x is greater than or equal to -30
Hope this helped! If it did you should select my answer as brainliest!!
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What values of b satisfy 4(3b + 2)2 = 64?
Vikentia [17]
Given the equation 4(3b + 2)² = 64, dividing both sides of the equation by 4, we have (3b + 2)² = 16 and getting the square root of both sides, (3b + 2) = 4 and (3b + 2) = -4 We can solve for b for each equation and have 3b = 2 | 3b = -6 b = 2/3 | b = -2 Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
8 0
2 years ago
The area of a triangle is 45.5 cm2 and the base is 10 cm.
blondinia [14]
The area of a triangle is A=1/2b*h
You have the base (b) and you have the area (A)
So, if you plug in what you know, you get this:
45.5=1/2*10*h
Simplify it:
45.5=5h

Now solve for h
Divide by 5 to get h alone:
9.1=h

Your height is 9.1cm
Hope this helps :)
3 0
3 years ago
Read 2 more answers
Roberta is 20 years older than Julian. In 4 years, Roberta's age will be twice Julian's age.
mars1129 [50]

Step-by-step explanation:

There are 2 questions in one.

1)

<u>Roberta is 20 years older than Julian. In 4 years, Roberta's age will be twice Julian's age:</u>

  • r = j + 20
  • r + 4 = 2j

---------------------------

2)

<u>Roberta is twice as old as David. In 10 years, Roberta will be 8 less than three times David's present age:</u>

  • r = 2d
  • r + 10 = 3d - 8

Correct choice is A

8 0
2 years ago
Simplify the complex number i^28 as much as possible.
ella [17]

let's recall that i⁴ = 1 so then    i^{28}\implies i^{4\cdot 7}\implies (i^4)^7\implies (1)^7\implies 1

5 0
2 years ago
On a standardized test with a normal distribution the mean score was 67.2. The standard deviation was 4.6. What percent of the d
Reika [66]

Answer:

P ( -1 < Z < 1 ) = 68%

Step-by-step explanation:

Given:-

- The given parameters for standardized test scores that follows normal distribution have mean (u) and standard deviation (s.d) :

                         u = 67.2

                         s.d = 4.6

- The random variable (X) that denotes standardized test scores following normal distribution:

                         X~ N ( 67.2 , 4.6^2 )

Find:-

What percent of the data fell between 62.6 and 71.8?

Solution:-

- We will first compute the Z-value for the given points 62.6 and 71.8:

                          P ( 62.6 < X < 71.8 )

                          P ( (62.6 - 67.2) / 4.6 < Z < (71.8 - 67.2) / 4.6 )

                          P ( -1 < Z < 1 )

- Using the The Empirical Rule or 68-95-99.7%. We need to find the percent of data that lies within 1 standard about mean value:

                          P ( -1 < Z < 1 ) = 68%

                          P ( -2 < Z < 2 ) = 95%

                          P ( -3 < Z < 3 ) = 99.7%

6 0
3 years ago
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