Answer:
Yes, after 10 key presses, both will arrive at the number 30.
Step-by-step explanation:
The difference between the numbers on the calculators is reduced by 10 with each key press. After 10 key presses, the initial difference of 100 will be zero. After 10 key presses of (-7), the calculator starting at 100 will be ...
100 +10(-7) = 30
After 10 key presses of (+3), the calculator starting at 0 will be ...
0 +10(+3) = 30
Both calculators will show 30 after 10 key presses.
Students on the minibus = 8
students that are boys = 5
fraction of the student that are boys = ?
we can write fraction as the numerator and denominator so here the fraction of boys students is = 5/8
this fraction means and shows that there are 5 students are boys from 8 students.
Answer:
The probability that the next mattress sold is either king or queen-size is P=0.8.
Step-by-step explanation:
We have 3 types of matress: queen size (Q), king size (K) and twin size (T).
We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.
We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:
![P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0](https://tex.z-dn.net/?f=P_Q%3D%5Cdfrac%7BP_K%2BP_T%7D%7B4%7D%5C%5C%5C%5C%5C%5C4P_Q-P_K-P_T%3D0)
We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:
![P_K=3P_T\\\\P_K-3P_T=0](https://tex.z-dn.net/?f=P_K%3D3P_T%5C%5C%5C%5CP_K-3P_T%3D0)
Finally, we know that the sum of probablities has to be 1, or 100%.
![P_Q+P_K+P_T=1](https://tex.z-dn.net/?f=P_Q%2BP_K%2BP_T%3D1)
We can solve this by sustitution:
![P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6](https://tex.z-dn.net/?f=P_K%3D3P_T%5C%5C%5C%5C4P_Q%3DP_K%2BP_T%3D3P_T%2BP_T%3D4P_T%5C%5C%5C%5CP_Q%3DP_T%5C%5C%5C%5C%5C%5CP_Q%2BP_K%2BP_T%3D1%5C%5C%5C%5CP_T%2B3P_T%2BP_T%3D1%5C%5C%5C%5C5P_T%3D1%5C%5C%5C%5CP_T%3D0.2%5C%5C%5C%5C%5C%5CP_Q%3DP_T%3D0.2%5C%5C%5C%5CP_K%3D3P_T%3D3%5Ccdot0.2%3D0.6)
Now we know the probabilities of each of the matress types.
The probability that the next matress sold is either king or queen-size is:
![P_K+P_Q=0.6+0.2=0.8](https://tex.z-dn.net/?f=P_K%2BP_Q%3D0.6%2B0.2%3D0.8)
Answer: x=-4.8
Step-by-step explanation:
Given
-10x+4=52
Subtract 4 on both sides
-10x+4-4=52-4
-10x=48
Divide -10 on both sides
-10x/-10=48/-10
x=-4.8
Hope this helps!! :)
Please let me know if you have any questions