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likoan [24]
3 years ago
9

Simplify the expression below 2(3x+8) I need help ASAP

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

6x + 16

Step-by-step explanation:

To simplify this, distribute each term in the parentheses to the 2.

2 · 3x = 6x

2 · 8 = 16

Putting these two terms together, the final simplified expression is 6x + 16.

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Amber made 6/8 of her free-throws in the last basketball game. What percent of free-throws did Amber make?
likoan [24]
If you divide 6 by 8= 0.75, which is equivalent to 75%. So Amber made 75% of her free throws. 
8 0
4 years ago
Read 2 more answers
Identify the solutions to the quadratic equation!
Elenna [48]

The solution to the quadratic equation are option C) x= -5 and option E) x=3.

<u>Step-by-step explanation</u>:

The given  quadratic equation is x²+2x-15 = 0.

Using the factorization method,

  • product of the roots should be -15.
  • Sum of the roots should be 2.

⇒ -15 = 5 \times -3

⇒ 2 = 5+(-3)

(x+5)(x-3) = 0

Therefore, x = -5 and x = 3

8 0
4 years ago
2. to which subsets of real numbers does number -22 belong? choose all subjects that apply A) Whole numbers B) Rational numbers
nexus9112 [7]
-22 belongs to Integers
3 0
3 years ago
Calculate the area of quadrilateral ABCD.<br> State the units of your answer.
cluponka [151]

Answer:

158.76 cm²

Step-by-step explanation:

Quadrilateral ABCD is composed of 2 right triangles

Construct the line BD, then

Δ ABD and Δ BCD are the 2 right triangles.

The area (A) of a triangle is calculated using

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Δ ABD with b = 18 and h = 7.5

A = \frac{1}{2} × 18 × 7.5 = 9 × 7.5 = 67.5 cm²

Δ BCD with b = 15.6 and h = 11.7

A = \frac{1}{2} × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²

Thus

area of ABCD = 67.5 + 91.26 = 158.76 cm²

3 0
3 years ago
Silicon wafers are scored and then broken into the many small microchips that will he mounted into circuits. Two breaking method
antoniya [11.8K]

Answer:

a

The estimate is  - 0.0265\le  K \le  0.0465

b

Method B this is because the faulty breaks are less

Step-by-step explanation:

The number of microchips broken in method A is  n_1 = 400

The number of faulty breaks of method A is  X_1 = 32

 The number of microchips broken in method B is  n_2  = 400

 The number of faulty breaks of method A is  X_2 = 32

  The proportion of the faulty breaks to the total breaks in method A is

       p_1 = \frac{32}{400}

      p_1 = 0.08

 The proportion of the faulty to the total breaks in method B is

      p_2 =  \frac{28}{400}

     p_2 =  0.07

For this estimation the standard error is  

      SE =  \sqrt{ \frac{p_1 (1 - p_1)}{n_1}  + \frac{p_2 (1- p_2 )}{n_2} } }

  substituting values

       SE =  \sqrt{ \frac{0.08 (1 - 0.08)}{400}  + \frac{0.07 (1- 0.07 )}{400} } }

      SE = 0.0186

The z-values of confidence coefficient of 0.95 from the z-table is  

       z_{0.95} =  1.96

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as

        K = [p_1 - p_2 ] \pm z_{0.95} * SE

substituting values

        K = [0.08 - 0.07 ] \pm 1.96 *0.0186

         K  =  - 0.0265 \ or  \ K  =  0.0465

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is  

      - 0.0265\le  K \le  0.0465

3 0
3 years ago
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