Robert can make 24 gadgets in 2.5 hours. How many can he make in 11.25 hours?
1 answer:
You might be interested in
Using the normal distribution, it is found that the probabilities are given as follows:
a) 0.8871 = 88.71%.
b) 0.0778 = 7.78%.
c) 0.8485 = 84.85%.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters in this problem are given as follows:
Item a:
The probability is the <u>p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000</u>, hence:
X = 1250:
By the Central Limit Theorem
Z = 1.42
Z = 1.42 has a p-value of 0.9222.
X = 1000:
Z = -1.81
Z = -1.81 has a p-value of 0.0351.
0.9222 - 0.0351 = 0.8871 = 88.71% probability.
Item b:
The probability is <u>one subtracted by the p-value of Z when X = 1250</u>, hence:
1 - 0.9222 = 0.0778 = 7.78%.
Item c:
The probability is the <u>p-value of Z when X = 1220</u>, hence:
Z = 1.03
Z = 1.03 has a p-value of 0.8485.
0.8485 = 84.85% probability.
More can be learned about the normal distribution at brainly.com/question/4079902
#SPJ1
The price of less expensive equipment is $1575.
Step-by-step explanation:
Let,
Price of one equipment = x
Price of other equipment = y
According to given statement;
x+y=4000 Eqn 1
x = y+850 Eqn 2
Putting Eqn 2 in Eqn 1
Dividing both sides by 2;
Putting y=1575 in Eqn 2;
The price of less expensive equipment is $1575.
Keywords: linear equation, substitution method
Learn more about linear equations at:
#LearnwithBrainly
Answer:
Option A is correct : . a=115, b=71
Step-by-step explanation:
Consider the attached file.
AB is parallel to CD.
∠1+ a° = 180° (since sum of linear pairs is 180°) ---(A)
And ∠1 = ∠2 because they are corresponding angles.
∠1 = ∠2 = 65°
Putting this value in (A)
⇒65°+ a° = 180°
⇒a° = 180°-65°
⇒a° = 115°
∠3+ 109° = 180°(since sum of linear pairs is 180°) ---(B)
⇒∠3 = 180°-109°
⇒∠3 = 71°
Now, ∠3 = b° (because they are corresponding angles and corresponding angles are equal)
⇒∠3= b°= 71°
Thus Option A is correct : . a=115, b=71
