Answer:
Step-by-step explanation:
We want a line parallel to 3x − 4y = 7. Any such line will have an equation of the same form but a different constant.
If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2. We obtain:
3(-4) − 4(-2) = -12 + 8 = -4. Thus, the desired new equation is 3x − 4y = -4.
This could also be written as 3x − 4y + 4 = 0. We could also solve this for y, obtaining:
3x + 4 = 4y, or y = (3/4)x + 1.
Using proportions, the cost of the 17-ounce sundae is of $5.95.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Considering the 12-ounce sundae bought for $4.2, the cost per ounce is given by the following proportion:
$4.2/12 = $0.35.
Hence the cost of a 17-ounce sundae is:
$0.35 x 17 = $5.95.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Answer:
x = 0.5
Step-by-step explanation:
2x - 3 = - 2 ( add 3 to both sides )
2x = 1 ( divide both sides by 2 )
x =
= 0.5
Answer: 91.65 ft
Step-by-step explanation:
(200*200) + (x) = 220*220
40000 + x = 48400
48400 - 40000 = x^2
8400 = x^2
91.65 = x
Answer:
The p value for this case can be calculated with this probability:
For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change
Step-by-step explanation:
Information given
n=340 represent the random sample taken
estimated proportion of readers owned a laptop
is the value that we want to test
z would represent the statistic
Alternative hypothesis:
The statistic is given by:
(1)
Replacing we got:
The p value for this case can be calculated with this probability:
For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change