Answer:
11 cats
Step-by-step explanation:
I did trial and error.
I started with 16 cats and 17 dogs, so:
(16x$2.5) + (17x$4.5) = $116.5
The value is too low which means that they spent more money on the expensive side (i.e., dogs).
I ended up with 11 cats and 22 dogs, so:
(11x$2.5) + (22x$4.5) = $126.5
Answer:
300
Step-by-step explanation:
1500 is 500% of what number?
100%=1
500%=5
1500/5=300
Answer:
P=0.125
If it is repeated 10,000, it is expected "3 tails in a row" about 1,250 times.
Step-by-step explanation:
When flipping a coin a number of times, we can modeled this as a random variable with a binomial distribution.
In this case, we have to calculate the probability of 3 consecutive tails. If we define p as the probability of getting a tail (which has a value of p=0.5 if it is an unbiased coin), the probability of getting 3 tails in a row is:

If that event of "flipping a coin 3 times" is repeated 10,000 times, we can expect to have 3 tails in a row about 1,250 times:

because we expect 0.125 events of this type for every try, so we can multiply this probability (or expected frequency) by the number of trials and we get the expected number of events described.
Answer:
A, B, and C
Step-by-step explanation:
We can substitute each number into each equation
2 <u><</u> -1 + 5 true
2 <u>></u> 1 true
1 <u>></u> 0 true
A is correct
4 <u><</u> -1 + 5 true
4 <u>></u> 1 true
1 <u>></u> 0 true
B is correct
3 <u><</u> -0 + 5 true
3 <u>></u> 0 true
0 <u>></u> 0 true
C is correct
5 <u><</u> -2 + 5 false
D is incorrect
Answer:
124°.
Step-by-step explanation:
x+24°+32°=180° (sum of angles is 180°)
⟹x+56°=180°⟹ x=180°–56°=124°.