Answer:
base = 15 units
Step-by-step explanation:
We are given area of a triangle = 52.5 sq. units
Height is given as 7 and we have to find the base.
Using formula for area of triangle:
Area of triangle = 
52.5 * 2 = base × 7
105 = base × 7
base = 15
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
x equals 4 and y equals 5 . so the formula would be 5x+12y=80 and if we need 4 of the small boxes we sub x for 4 and we get 5(4) =20. Next, 80 minus 20 is 60, and the equation would now be 12y=60. we now divide both sides by 12 and we get left with y=5. 5x + 12y = 80 5(4) + 12(5)=80 20+60=80. That is all. I hope that doesn't sound confusing
An equation in the form of slope intercept is written as y=mx+b. That means that we need to get y positive, which we can do by adding 3y to each side, and then subtracting 3 from each side to get y by itself. Doing all of these steps, the equation becomes 3y=5x-3. But, we're not done because we still need to get y equal to one, which we can do by dividing each side of the equation by 3. This makes the equation become y=5/3x-1.
The graph of the equation looks like this:
Answer:
<h2>
1.5</h2>
Step-by-step explanation:
We are given two points. Let the points be A and B
A ( 8 , -2 ) ------> ( x1 , y1 )
B ( 12 , 4 ) ------> ( x2 , y2 )
Now, let's find the slope of the given points:
plug the values
When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression
Subtract the numbers
Add the numbers
Reduce the fraction with 2
Hope this helps..
Best regards!!
