Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards,

Given:
Two identical parallelograms total area = 9 1/3 yd²
Each parallelogram has height 1 1/3 yd

Area formula: area = base × height

Split the total area equally to find each parallelogram's area.

Convert 9 1/3: (9*3)+1 = 28/3

Divide by 2: 28/3 × 1/2 = 28/6 yd², which is 4 4/6 yd² → 4 2/3 yd²

So each parallelogram's area is 4 2/3 yd²

Set up base × 1 1/3 yd = 4 2/3 yd²

Convert and divide: 14/3 yd² ÷ 4/3 yd = base

Multiply: 14/3 × 3/4 = base
Compute: 14*3 / 3*4 = base
42 / 12 = base
Which simplifies to 3 6/12 yd = base
or 3 1/2 yd = base

a) Each parallelogram has a base of 3 1/2 yards
b) If the two parallelograms form a rectangle:
Rectangle area = length × width

Length = 3 1/2 yd × 2 = 7 yds
Width = 3 1/2 yds

Area = 7 yd × 3 1/2 yd
Area = 7 × 7/2 yd²
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²

Answer:

You need to purchase 3 shirts to be able to use your coupon.

Step-by-step explanation:

Each shirt originally costs $17.99.

There is a 20% discount on this specific brand of shirts.

$17.99 × 0.2 = $3.60 (discount per shirt)

Subtracting the discount from the original price:

$17.99 - $3.60 = $14.39 (price per shirt after discount)

To qualify for the $10 off coupon which requires a $40 minimum purchase:

$40 ÷ $14.39 ≈ 2.779, rounded up to 3 shirts

Therefore, you must buy 3 shirts.

3 shirts × $14.39 = $43.17, surpassing the $40 minimum needed to apply the $10 discount.

Response:

The likelihood that fewer than 8 of the sampled adults use glasses or contact lenses is 0.4745.

Detailed explanation:

We have the following information:

Considering adults wearing glasses or contact lenses a success.

P(Adults use glasses or contact lenses) = 75% = 0.75

Hence, the number of adults follows a binomial distribution, represented as:

with n as total observations, x as successful outcomes, and p as success probability.

For our case, n = 10

We need to calculate:

P(fewer than 8 adults wear glasses or contact lenses)

0.4745 is the probability of having fewer than 8 of the selected adults utilizing glasses or contact lenses.

Answer: 20 units

Step-by-step explanation:

The formula for calculating the distance between two coordinates P(a,b) and Q(c,d) is as follows:-

Initially provided: The coordinates of the quadrilateral's vertices are C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

The distance between vertices C (−2, 1) and D (2, 4) is as follows:-

Distance between points D (2, 4) and E (5, 0) is calculated as:-

Distance between coordinates E (5, 0) and F (1, −3) is given by:-

Distance from C (−2, 1) to F (1, −3) is as follows:-

The total perimeter of the quadrilateral is calculated as = CD + DE + EF + FC

Answer:

- 1675.38

Step-by-step explanation:

In 2017, the kitchen equipment's value was recorded at $14,550.

V(0)=$14550

Its following value is represented by .

We need to ascertain the rate of value change as of January 1, 2019.

As of 2019, which is 2 years later, we set t=2.

The rate of value change is

== -1675.38