Using Accuracy and Precision

Marysya12 [62]

Tan 45°= 15/x
x= 15/tan 45°
x= 15

y= $\sqrt{15^2+15^2} =15 \sqrt{2}$

6 0

3 years ago

In one semester, doug and Laura spent a combined 250 hours in the tutoring lab. If doug spent 40 more hours in the lab then Laur

aksik [14]

Answer:

Step-by-step explanation:

What we have is a general equation that says this in words:

Laura's hours + Doug's hours = 250 total hours

Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:

x + x + 40 = 250 and

2x = 210 so

x = 105

Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!

8 0

4 years ago

3 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a re

Rudik [331]

Answer: $\dfrac{15}{17}$

Step-by-step explanation:

Total number of cards in a deck = 52

Number of red cards = 26

Number of cards not red =

Number of ways to draw not red cards = $^{26}C_3$

Total ways to draw 3 cards = $^{52}C_3$

The probability that none of three cards are red = $\dfrac{^{26}C_3}{^{52}C_3}$

$=\dfrac{\dfrac{26!}{3!(26-3)!}}{\dfrac{52!}{3!(52-3)!}}$ [∵ $^nC_r=\dfrac{n!}{r!(n-r)!}$ ]

$=\dfrac{\dfrac{26\times25\times24\times23!}{(23)!}}{\dfrac{52\times51\times50\times49!}{3!(49)!}}=\dfrac{2}{17}$

Now , the probability that at least one of the cards drawn is a red card = 1- Probability that none cards are red

$=1-\dfrac{2}{17}=\dfrac{17-2}{17}=\dfrac{15}{17}$

Hence, the required probability = $\dfrac{15}{17}$

6 0

3 years ago

(02.03)

Dmitry [639]

The use of ratio language was used in the following sentences:

For every 1 students out of school, there are 10 students in school

For every 5 apples John eats, he eats 20 boxes of chocolate

For every 5 minutes, study, I sleep for 1 hour

Ratio is used to show the relationship that exists between numbers. It shows the frequency of the number of times that value of one number is contained within the value of another number or numbers

For example, There are 3 apples and 20 oranges. If I want to express the relationship between apples and oranges as a ratio. The ratio will be 3 : 20 . It means for every 3 apples, there are 20 oranges.

To learn more about ratios, please check: brainly.com/question/13419413?referrer=searchResults

8 0

3 years ago

How do you solve 2/3 x=12 one step

asambeis [7]

Remembe you can do anything to an equation as long as you do it to both sides

multiply both sides by 3/2 or divide both sides by 2/3 (same thing)
we get x=36/2 or x=18

8 0

4 years ago