Divide and simplify. 32x9y2 2xy-2

A _______ is a set of characters that uses the same typeface.

eimsori [14]

A font is a set of characters that uses the same typeface.It is a specific typeface of a fix size and style. An example is, a font may be Arial 12 pt bold, while another font may be Times New Roman 14 pt italic. According to Merriam dictionary, font is an assortment or set of type or charactersall of one style and sometimes one size.

4 0

3 years ago

At a farmers market, oranges sell for $5 per bag and apples sell for $3 per

dimulka [17.4K]

Answer:

A. 3 bags of oranges, 4 bags of apples

Step-by-step explanation:

If O is number of bags of oranges and A is number of bags of apples:

O + A = 7

5O + 3A = 27

We can solve this system of equations with either substitution or elimination. I like to use substitution, but you can use whichever you prefer.

O = 7 − A

5 (7 − A) + 3A = 27

35 − 5A + 3A = 27

35 − 2A = 27

8 = 2A

A = 4

O = 7 − A

O = 3

Teresa bought 3 bags of oranges and 4 bags of apples.

4 0

3 years ago

What is 37 1/4 x 24 help me

-BARSIC- [3]

37 and 1 / 4 = 37 * 6 = 74 * 3 = 222

5 0

2 years ago

Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive

NeX [460]

Answer:

(a) 0.343

(b) 0.657

(c) 0.189

(d) 0.216

(e) 0.353

Step-by-step explanation:

Let P(a vehicle passing the test) = p

$p = \frac{70}{100} = 0.7$

Let P(a vehicle not passing the test) = q

q = 1 - p

q = 1 - 0.7 = 0.3

(a) P(all of the next three vehicles inspected pass) = P(ppp)

= 0.7 × 0.7 × 0.7

= 0.343

(b) P(at least one of the next three inspected fails) = P(qpp or qqp or pqp or pqq or ppq or qpq or qqq)

= (0.3 × 0.7 × 0.7) + (0.3 × 0.3 × 0.7) + (0.7 × 0.3 × 0.7) + (0.7 × 0.3 × 0.3) + (0.7 × 0.7 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.3)

= 0.147 + 0.063 + 0.147 + 0.063 + 0.147 + 0.063 + 0.027

= 0.657

(c) P(exactly one of the next three inspected passes) = P(pqq or qpq or qqp)

= (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7)

= 0.063 + 0.063 + 0.063

= 0.189

(d) P(at most one of the next three vehicles inspected passes) = P(pqq or qpq or qqp or qqq)

= (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7) + (0.3 × 0.3 × 0.3)

= 0.063 + 0.063 + 0.063 + 0.027

= 0.216

(e) Given that at least one of the next 3 vehicles passes inspection, what is the probability that all 3 pass (a conditional probability)?

P(at least one of the next three vehicles inspected passes) = P(ppp or ppq or pqp or qpp or pqq or qpq or qqp)

= (0.7 × 0.7 × 0.7) + (0.7 × 0.7 × 0.3) + (0.7 × 0.3 × 0.7) + (0.3 × 0.7 × 0.7) + (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7)

= 0.343 + 0.147 + 0.147 + 0.147 + 0.063 + 0.063 + 0.063

= 0.973

With the condition that at least one of the next 3 vehicles passes inspection, the probability that all 3 pass is,

$= \frac{P(all\ of\ the\ next\ three\ vehicles\ inspected\ pass)}{P(at\ least\ one\ of\ the\ next\ three\ vehicles\ inspected\ passes)}$

$= \frac{0.343}{0.973}$

= 0.353

3 0

4 years ago

Read 2 more answers

Which is the additive inverse of the complex number -8+3i?

lawyer [7]

The additive inverse of a complex z is a complex number $-z,$ so that

$\mathsf{z+(-z)=-z+z=0+0i=0}$

Finding $-z:$

$\mathsf{z=-8+3i}\\\\\\ \mathsf{z+(-z)=0+0i}\\\\\ \mathsf{-8+3i+(-z)=0+0i}\\\\ \mathsf{-z=0+0i+8-3i}\\\\ \mathsf{-z=(0+8)+(0i-3i)}\\\\ \boxed{\begin{array}{c}\mathsf{-z=8-3i} \end{array}}\qquad\checkmark$

If you're having problems understanding this answer, try seeing it through your browser: <span>brainly.com/question/2159647

</span>I hope this helps.

Tags: <em>complex number additive inverse opposite algebra</em>

3 0

3 years ago