Answer:
1. The correct option is 3.
2.The correct option is 3.
3.The correct option is 3.
4.The correct option is 4.
Step-by-step explanation:
1.
Sameera planned a rectangular walkway to be 25 ft long. She decides to change the walkway to be 45 ft long.
The scale factor is
[tex]k=\frac{\text{Initial length}}{\text{New length}}[/tex]
[tex]k=\frac{45}{25}[/tex]
[tex]k=\frac{9}{5}[/tex]
The scale factor is 9/5, it means the change in the scale factor is 5 to 9.
Therefore the correct option is 3.
2.
Total possible outcomes for flipping four coins are
S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}
[tex]n(S)=16[/tex]
Possibilities of getting the same number of heads and tails.
A = {HHTT, HTHT, HTTH, THHT, THTH, TTHH} = 6
[tex]n(A)=6[/tex]
The probability of getting the same number of heads and tails is
[tex]P=\frac{n(A)}{n(S)}[/tex]
[tex]P=\frac{6}{16}=\frac{3}{8}[/tex]
Therefore the correct option is 3.
3.
The given expression is
[tex]-96.43-(-98.67)[/tex]
[tex]-96.43+98.67[/tex]
[tex]2.24[/tex]
Therefore the correct option is 3.
4.
The given expression is
[tex](-10.2)(-16.4)[/tex]
Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)
Step 2: = (–16.4)(–10) + (–16.4)(–0.2)
Step 3: = 164 + 3.28
Step 4: = 167.28
Therefore the correct option is 4.
