Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
<h3>
Answer: y = (3/4)x + 13/4</h3>
This is the same as writing y = 0.75x + 3.25
slope is 3/4 = 0.75
y intercept is 13/4 = 3.25
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Explanation:
One marked point on this line is (-3,1)
Another point is at (1,4)
Let's find the slope of the line through these two points.
m = (y2-y1)/(x2-x1)
m = (4-1)/(1-(-3))
m = (4-1)/(1+3)
m = 3/4
m = 0.75
Now let's use point slope form to find the equation of the line
y - y1 = m(x - x1)
y - 1 = 0.75(x - (-3))
y - 1 = 0.75(x + 3)
y - 1 = 0.75x + 2.25
y = 0.75x + 2.25 + 1
y = 0.75x + 3.25
If you wanted, you can convert those decimal values to fraction form
- 0.75 = 75/100 = 3/4
- 3.25 = 325/100 = 13/4
That means the equation
y = 0.75x + 3.25
is the same as
y = (3/4)x + 13/4
Answer:
about 52 feet
Step-by-step explanation:
The figure is omitted--you may draw it to confirm my answer.
sin (38°) = 32/x
x sin (38°) = 32
x = 32 / sin (38°) = about 52 feet
Answer:
a)
b)
Step-by-step explanation:
We have to build appropriate null and alternate hypothesis for the given scenarios.
a) Population mean, μ = $62,500 per year
The market research wants to find whether the mean household income of mall shoppers is higher than that of the general population.
We would use one-tail(right) test to perform this hypothesis.
b) Population mean, μ = 2.6 hours
The company want to know the average time to respond to trouble calls is different or not.
We would use two-tail test to perform this hypothesis.
