Answer:
The number of red pens is 20.
The number of blue pens is 4.
Step-by-step explanation:
We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.
∴ Let us assume that the number of red pens be 5<em>x</em> and number of blue pens be <em>x</em>.
Total number of pens in the desk drawer = 24
Now, according to question :
Number of red pens + Number of blue pens = 24
⇒5<em>x</em> + <em>x</em> = 24
⇒6<em>x</em> = 24
⇒
So, number of red pens in the drawer = 5<em>x</em> = 5 × 4 = 20
Number of blue pens in the drawer = <em>x</em> = 4
Answer:
5=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 152.5
For the alternative hypothesis,
µ ≠ 152.5
This is a two tailed test.
Since no population standard deviation is given, the distribution is a student's t.
Since n = 231
Degrees of freedom, df = n - 1 = 231 - 1 = 230
t = (x - µ)/(s/√n)
Where
x = sample mean = 148.9
µ = population mean = 152.5
s = samples standard deviation = 27.4
t = (148.9 - 152.5)/(27.4/√231) = - 2
We would determine the p value using the t test calculator. It becomes
p = 0.047
Since alpha, 0.05 > thanthere sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals the p value, 0.047, then we would reject the null hypothesis. Therefore, At a 5% level of significance, there is sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals
Answer:
Time left for each question is less than 5.5 minutes
Step-by-step explanation:
Given that:
Raphael is trying to solve 5 math questions in less than 20 minutes.
3 questions have been completed which have taken 3 minutes each.
To find:
How much time is left with Raphael for each question so as to reach his goal.
Solution:
First of all, let us find the time that has been already consumed by Raphael in solving the 3 questions.
3 
3 = 9 minutes
Time left = Total Time - Time already consumed
Time left = 20 - 9 = 11 minutes
Number of questions to be solved = Total questions - Questions solved
Number of questions to be solved = 5 - 3 = 2
Average time left for each question = Time left divided by Number of questions to be solved
Average time left for each question = 11 
2 = 5.5 minutes
Therefore, time left for each question is less than 5.5 minutes.
Answer:
-20° F
Step-by-step explanation:
the temperature would be :
=》-14 - 6 = -20° F
