Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. <u>[Attached]</u>
The coordinates of the y intercept are (0,3).
Answer:
3 is tens and 9 is ones
Step-by-step explanation:
hope this helps
cos (90° - x) should be the answer
A sample of size n taken from a population with mean = µ and standard deviation = σ has sample mean = µ and sample s.d. = σ/√n.
If the final exam scores are normally distributed, and X is a random variable for the mean of a sample, then
Pr[X < 70] = Pr[(X - 73) / (7.8/√24) < (70 - 73) / (7.8/√24)]
… ≈ Pr[Z < -1.8842]
… ≈ 0.0298
(where Z is normally distributed with µ = 0 and σ = 1).
Total amount of the mixture = 
ounces
Proportion of formula = 
Proportion of water = 
Amount of water needed to make the mixture can be given as:
Total amount of mixture x Proportion of water
Using the values, we get:
Amount of water needed = 
= 7 ounces
Similarly the amount of formula needed will be:
Total amount of mixture x Proportion of formula
Using the values, we get:
Amount of formula needed = 
= 3.5 ounces
Therefore, the home health care assistant needs 3.5 ounces of formula and 7 ounces of water to prepare 10 and a half ounces of formula.
