Answer:
5
Step-by-step explanation:
Let's take the numerator first
3 1/2 - 9 3/4
Convert to improper fraction
7/2 - 39/4
Find the LCM
= -25/4
Now let's take the denominator
-2.5
Convert to fraction
-5/2
Combine the two parts of the fraction
-25/4 / (-5/2)
This becomes;
-25/2 * -2/5
= +5
Using trigonometric ratios, the length in inches of the given triangle is 22 inches.
Given a right angled triangle.
The length of the hypotenuse is also given.
We can find the length of "a" using the sine trigonometric ratio.
We know that,
Sine of any angle is defined as the ratio of the opposite side to the hypotenuse of a right angled triangle.
Using the sine function here for the angle 30°,
sin (30°) = opposite side / adjacent side
sin (30°) = a / 44
Or,
a / 44 = sin (30°)
We know that sin (30°) = 1/2.
So,
a / 44 = 1/2
Multiplying both sides by 44, we get,
a = 44 / 2
a = 22 inches
Hence the length is 22 inches.
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Answer:
Step-by-step explanation:
The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.
Which sampling methods are likely to be biased?
Choose all answers that are correct.
A.
The manager selects 20 boards at random each day for 5 days and examines them.
B.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied.
C.
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.
D.
Every 40th board produced over the course of 1 week is selected and examined.
I think C and D am i correct ?
Answer:
I'm pretty sure it's C and D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)
y = 5(x-2) + 3 (distribute parentheses)
y = x(5) - 2(5) + 3
y = 5x -10 + 3
y = 5x - 7
recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)
hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5
From the choices, the only one that is consistent with this is C
i.e choice C:
5y + x = 25
5y = -x + 25
y = -(1/5) x + 5 ===> gradient of -1/5