Response:
a) 8
b) 15
c) 34
Detailed explanation:
Section a) Options for neck-wear
Regular ties count = 3
Bow ties count = 5
Overall ties count = 3 + 5 = 8
Any tie can be selected from these 8 available options. Thus, the options for neck-wear total 8.
Section b)
We now calculate choices for using both regular and bow ties.
Selecting a regular tie is independent of the bow tie selection. According to counting principles, if two events are independent, the total ways to realize both equal the product of their individual possibilities. Thus,[
Number of ways to select both ties = Count of ways to choose each tie
So,
Ways for wearing both types of ties = 3 x 5 = 15 ways
Section c)
Count of shirts = 5
Count of skirts = 4
Count of pants = 3
Count of dresses = 7
Choice options for outfits include:
- Shirt paired with Skirt or Pants
- Or simply a dress
Pants can be chosen in 3 ways. Pairing a skirt or pant provides 9 options.
Reapplying counting rules:
Ways to wear a shirt with a skirt or pant = 3 x 9 = 27
Choices for dresses = 7
Consequently, the total is 27 + 7 = 34 outfit combinations.
Answer:
The linear equations are:
Step-by-step breakdown:
Here, a denotes the quantity of 2-point shots, and b indicates the number of 3-point shots.
According to the information given:
The basketball team accumulated 82 points through 2-point and 3-point baskets.
⇒
It is also stated that: They made a total of 38 baskets.
⇒
therefore, the linear equations are:
Response:
First, subtract one-half from each side of the equation.
Next, divide both sides by 6/7.
Then, multiply each side by 7/6.
Detailed explanation:
I simply took the question on ed.
Answer:
The formula representing the penny's height as a function of time is:
After 7 seconds, the height of the penny will reach 667 feet.
Step-by-step explanation:
The penny experiences free fall.
With an initial velocity of zero and an initial height of h(0)=1,451.
Gravity acts as the acceleration, measured as g=32 ft/s^2.
The model can be initiated by analyzing speed:
Then, the height is expressed as:
The height of the penny at approximately 7 seconds can be calculated as:
After 7 seconds, the penny will stand at a height of 667 feet.
