20x-28+12=16x+24 (i distributed the 4 to get this)
20x-16=16x+24 (added -28 & 12)
4x=40 (Subtracted 16x from both sides and added 16 to both sides)
(divide by 4 on both sides)
x=10
Answer:
257 is prime.
Step-by-step explanation:
To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.
In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)
- 257 is odd, so it is not divisible by 2.
- The sum of its digits is 14, therefore, it is not divisible by 3.
- 257 ends in 7, therefore it's not divisible by 5.
- 257/ 7 = 36.71 so it's not divisible by 7.
- 257/ 11 = 23.36 so it's not divisible by 11
- Finally 257 / 13= 19.76 so it's not divisible by 13.
Therefore, 257 is prime.
A cross section is the shape we get when cutting straight through an object. In geometry it is the shape made when a solid is cut through by a plane. cylinder cross section.The cross section of this circular cylinder is a circle.
Answer:
m=0.18b+4
She'll earn $10.30
Step-by-step explanation:
m=0.18b+4
m=0.18(35)+4
m=6.3+4
m=10.3
The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.
Data;
- Mean rate = 0.3
- x = 50
- standard deviation = ?
<h3>Poission Rule</h3>
Using poission formula,
Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45
b)
The probability the next call arrives after 2 hours.
c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;
The mean = 360
The standard deviation is given as
The probability the sum of these 50 number is less than 356 is
Learn more on poission formula here;
brainly.com/question/7879375
