Answer:
72
Step-by-step explanation:
(b) What will the total repayment amount be (including interest)? X
Answer:
a) Simple interest paid = $360
b) Total repayment amount = $6360
Step-by-step explanation:
It is given that:
Principal, P = $6000
Rate of interest, R = 2%
Time, T = 3 years
(a) Total interest paid:
Formula for Simple Interest is given as:
Putting the values of P, R and T to find out Simple Interest:
(b) Total repayment amount:
We know that formula for total amount is given as:
Amount = Principal + Simple Interest
Amount = 6000 + 360 = $6360
So, total repayment amount = $6360
So, the answers are:
a) Simple interest paid = $360
b) Total repayment amount = $6360
Answer:
a) 0.2588
b) 0.044015
c) 0.12609
Step-by-step explanation:
Using the TI-84 PLUS calculator
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question, we know that:
μ = 119 inches
standard deviation σ = 17 inches
(a) What proportion of trees are more than 130 inches tall?
x = 130 inches
z = (130-119)/17
= 0.64706
Probabilty value from Z-Table:
P(x<130) = 0.7412
P(x>130) = 1 - P(x<130) = 0.2588
(b) What proportion of trees are less than 90 inches tall?
x = 90 inches
z = (90-119)/17
=-1.70588
Probability value from Z-Table:
P(x<90) = 0.044015
(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?
For x = 95
z = (95-119)/17
= -1.41176
Probability value from Z-Table:
P(x = 95) = 0.07901
For x = 105
z = (105 -119)/17
=-0.82353
Probability value from Z-Table:
P(x<105) = 0.2051
The probability that a randomly chosen tree is between 95 and 105 inches tall
P(x = 105) - P(x = 95)
0.2051 - 0.07901
= 0.12609
Why is Tina making so many sandwiches?
I´ll go find if there is the rest of the question
I believe if this is the correct question then this would be the rest
Tina makes 480 sandwiches she only makes tuna sandwiches, beef sandwiches, hand sandwiches and cheese sandwiches. 3/8 of the sandwiches are tuna. 35% of the sandwiches are beef. the ratio of the number of ham sandwiches to the number of cheese sandwiched is 5 : 6. work out the number of ham sandwiches that Tina makes
3 / 8 ×480 + 35 /100× 480 + 5x + 6x = 480
180 + 24 × 7 + 11x = 480
180 + 168 + 11x = 480
348 + 11x = 480
11x = 480 - 348
= 132
x = 132 / 11
= 12
no of ham sandwiches = 5x
= 5 ×12
= 60
therefore , the # of ham sandwiches = 60
HOPe tHIS HELPS
Answer:
0.5 = 50% probability that he or she is not in any of the language classes.
Step-by-step explanation:
We treat the number of students in each class as Venn sets.
I am going to say that:
Set A: Spanish class
Set B: French class
Set C: German class
We start building these sets from the intersection of the three.
In addition, there are 2 students taking all 3 classes.
This means that:
6 that are in both French and German
This means that:
So
4 French and German, but not Spanish.
4 that are in both Spanish and German
This means that:
So
2 Spanish and German, but not French
12 students that are in both Spanish and French
This means that:
So
10 Spanish and French, but not German
16 in the German class.
This means that:
8 in only German.
26 in the French class
10 only French
28 students in the Spanish class
14 only Spanish
At least one of them:
The sum of all the above values. So
None of them:
100 total students, so:
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
50 out of 100. So
50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.
1. 4 inside angles must sum to 360:
X = 360-45-65-95 = 155
2. All the outside angles must sum
To 360:
2x + 70+ 86 + 9 = 2x + 248
2x = 360-248
2x = 112
X = 112/2 = 56
3. Sum of interior angles for 6 sides figure = 720.
X = 720 - 90-120-130-140-150
X = 90
4. Exterior angles sum to 360
4x +x + 98 + 162 = 360
5x + 260 = 360
5x = 100
X = 100/5
X = 20
Answer:
For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:
Null hypothesis (H0):
Alternative hypothesis (H1):
And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no
Step-by-step explanation:
For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:
Null hypothesis (H0):
Alternative hypothesis (H1):
And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no