Answer:
A,C,D,F
Step-by-step explanation:
Answer:
Step-by-step explanation:
If a line is parallel to another it must have the same slope
The slope/intercept form of a line is y = mx + b where m is the slope and b the y intercept
The line y = 2x + 5 has slope 2
So the slope of the line that passes through (2,3) must also have the slope 2
We have
y = 2x + b; Substituting x =2, y =3 in this equation gives us
3 = 2 (2) + b or b = -1
Hence the equation of the line is
y = 2x -1
Cross-check
Substitute for x = 2 ==> y = 2(2) - 1 = 3 which is consistent
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
<u>Using the binomial probability relation</u> :
- P(x = x) = nCx * p^x * q^(n-x)
- p = probability of success = 0.4
- q = 1 - p = 0.6
- n = number of trials = 100
P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
<u>Using a binomial probability calculator</u> :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
Learn more :brainly.com/question/12474772
Renaud has to pay 2 percent + 14 percent = 16 percent initial costs
We can establish a proportion:
If 100% is => $170,500
Then 16% => $C costs
$C = 16 x $170,500/100 = $27,280 initial costs
Total cost = $163,021.87 + $27,280 = $190,301.87
Answer : C.) $190,301.87
Answer:
9 pencils
Step-by-step explanation:
We know that the ratio is 5:3 and its pens to pencils. So, every 5 pens have 3 pencils. Now Jose has 15 pens, so his pen supply triples. therefore his pencil supply must also triple. So 3x3=9.
