What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? check all that apply.

y = −x − 1
2x + 5y = −5
y = −x − 3
2x + 5y = −15
y − 1= −(x + 5)
a b and e i took the test

For this case we have that if two lines are parallel, then their slopes are equal.

We have the line given by:

Rewriting:

So, the slope is given by:

So, we have the following equation:

We substitute the given point to find the cut point:

So, we have:

Rewriting:

Option B

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94