Answer:
x = 20
Step-by-step explanation:
since the triangle is a right angle, that means the angle is 90 degrees
equation:
30 + 3x = 90
subtract 30 on both sides
30 - 30 + 3x = 90 - 30
3x = 60
then divide each side by 3
x = 20
Answer:
u= 2.5
Step-by-step explanation:
Using BIDMAS
Step 1: Expand the bracket
9(u-2) + 1.5u=8.25
9u-18+1.5u=8.25
Step 2: collect like terms
9u+1.5u=8.25+18
10.5u=26.25
Step 3: Divide both sides by 10.5 to get u
u= 
= 2.5
Answer:
Janet reads 13.865 pages in 4.7 minutes.
Step-by-step explanation:
Given that Janet can read 2.95 pages of a book in a minute.
- unit rate = 2.95 pages/per minute
As she reads for 4.7 minutes.
We just need to multiply 4.7 minutes with 2.95 to determine total pages she would read in 4.7 minutes.
i.e.
4.7 × 2.95 = 13.865 pages
Therefore, Janet reads 13.865 pages in 4.7 minutes.
It can be deduced that the probability of having 4 or more correct guesses will be 0.0296.
<h3>How to calculate the probability</h3>
From the given information, the null hypothesis is p = 1/7 and the alternate hypothesis is p>1/7. In this case, the mind reader gets a 4 out of 9 chances.
In order to test the hypothesis, simulations for 10000 cases were run with a probability of the correct answer being 1/7.
In this case, the p-value is the probability of correct answers that are greater than 4, assuming the null hypothesis is true. Here the p-value is 0.0296.
Also, the significance level to reject the hypothesis is less than 0.01. Since p > 0.01, we then fail to reject the hypothesis. Therefore the null hypothesis stands and Joao is not a mind reader.
Learn more about probability on:
brainly.com/question/24756209
