Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
Step-by-step explanation:
Given that;
X has normal distribution has mean µ = 3
standard deviation σ = 2
now
P( x< 4) = P( (x-µ)/σ /(3-4)/5)
= P( z < -0.5 )
= 0.3085 {from the z-table}
X has binomial distribution with n = 8 and p = 0.3085
so P(x=5)
P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵
= 0.0517 ≈ 0.05
Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
You can find the slope either by just looking at the line or using the slope formula.
#1: The slope formula is:
Find two points and plug it into the formula
I will use (0, 2) and (1, -1)
(0, 2) = (x₁, y₁)
(1, -1) = (x₂, y₂)
[two negatives cancel each other out and become positive]
m = -3
#2: To find the slope without having to do the work, you use this:
Rise is the number of units you go up(+) or down(-) from each point
Run is the number of units you go to the right from each point
If we start at a defined/obvious point, like (0, 2), find the next point and see how many units it goes up or down and to the right. The next point is (1, -1), so from each point, you go down 3 units and to the right 1 unit. So your slope is -3/1 or -3. You can make sure the slope is right by looking at another point.
Answer:
Percentage of computers working equals:
90%
Step-by-step explanation:
Three of the thirty computers are out of service.
Number of computers working=30-3=27
Total computers=30
Percentage of working computers=
=
= 90%
Hence, Percentage of computers working is:
90%
Answer:
8x+5
Step-by-step explanation:
To solve this, you need to combine the like terms. The line terms are 3x +5x and -2+7. 3x+5x=8x and 7-2 (same thing as -2+7) is positive 5 so its 8x+5
Hi Cherise1cherhop lets break this equation down with these steps:
1) add the whole numbers first
2) find the LCD of the fractions and that would be 42 since 42 can go into both denominators through multiplication
3) make the denominators (bottom numbers) the same as the LCD (42)
4) simplify it, now the denominators are equal
5) join the denominators together
6) simplify it (3 + 65/42)
7) convert 65/42 to mixed fraction
8) now that we made it a mixed fraction, simplify it
Answer: 4 23/42
