Answer:
Solution point is (-1,-9)
Step-by-step explanation:
Put the value of y in the first equation into the second equation.
- 2x + 5(3x - 5) = - 42 Remove the brackets on the left
- 2x + 15x - 25 = - 42 Combine like terms on the left
- 17x - 25 = - 42 Add 25 to both sides
- 17x - 25 + 25 = - 42 + 25 Do the addition
- 17x = - 17 Divide by 17
- 17x/17 = -17/17 Do the division
- x = - 1
=======
Solve for y
- y = 3x - 6
- x = -1
- y = 3(-1) - 6
- y = -3 - 6
- y = - 9
Answer:
1/4 chance (this is equal to 25% as a percentage or 0.25 as a decimal)
Step-by-step explanation:
There are 4 balls and only one can be first. As there is only 1 yellow ball, there is 1/4 chance that the yellow ball is picked first.
The answer would be 2.3x10^2.
The answer is 10.6 cubic inches.
The formula for a volume of the cone is V = 1/3 π r² h,
where:
V - the volume of the cone,
<span>r - radius of the cone base,
</span>h - height of the cone.
It is given:
h = 4.5 in
r = 1.5 in.
π = 3.14
If:
<span>V = 1/3 π r² h,
</span>Then:
V = 1/3 × 3.14 × (1.5 in)² × 4.5 in
V = 1/3 × 3.14 × 2.25 × 4.5 in³
V = 10.6 in³
Therefore, Judy's sugar cone can hold 10.6 <span> in³.</span>
Answer:
a) 
b) n = 381
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
a. Assume that nothing is known about the percentage of computers with new operating systems. n = ?
When we do not know the proportion, we use 
, which is when we are going to need the largest sample size.
The sample size is n when M = 0.01.
b. Assume that a recent survey suggests that 99% of computers use a new operating system. n = ?
Now we have that 
. So
Rouding up
n = 381
