Answer:
The Answer is 5.5, rounded to the nearest tenth
Step-by-step explanation:
650 x .05 = 32.5
178.25 ÷ 32.5 = 5.48461538462
5.48461538462 rounds to 5.5
It will take 5 years and 6 months to earn $178.25 in interest.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.
Given:
You deposit $650 in a savings account with an annual interest rate of 5% to earn $178.25 in interest.
That means,
178.25 = 650 x 5 x t/100
t = 17825/3250
t = 5.5
Therefore, it will take 5 years and 6 months.
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Let's say you want to poll a random sample of 150 students on campus to see if they prefer to take online classes. Of course, if you took an actual poll you would only get one number (your sample proportion, p-hat). Imagine all the possible samples of 150 students that you could draw and the distribution of all the possible sample proportions you would get from them.
If I told you that we know that 35% of all students actually prefer to take classes online, how would you respond to the following?:
1. Discuss the conditions necessary to use the normal curve to model this sampling distribution and explain whether or not they are met.
2. If the normal model is appropriate for this distribution, what shape would you expect it to have?
3. If you were to use the normal model for this p-hat sampling distribution, what value would be at the center of your sampling distribution? In other words, what value would all of those sample proportions center around?
4. What would be the standard deviation of this sampling distribution?
Answer:
1. Since [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], these conditions are met.
2. Approximately normal.
3. 0.35
4. 0.0389
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
Let's say you want to poll a random sample of 150 students on campus to see if they prefer to take online classes.
This means that [tex]n = 150[/tex].
35% of all students actually prefer to take classes online
This means that [tex]p = 0.35[/tex]
1. Discuss the conditions necessary to use the normal curve to model this sampling distribution and explain whether or not they are met.
The conditions necessary are [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].
We have that
[tex]np = 150*0.35 = 52.5 \geq 10[/tex]
[tex]n(1-p) = 150*0.65 = 97.5 \geq 10[/tex]
Since [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], these conditions are met.
2. If the normal model is appropriate for this distribution, what shape would you expect it to have?
By the Central Limit Theorem, approximately normal.
3. If you were to use the normal model for this p-hat sampling distribution, what value would be at the center of your sampling distribution? In other words, what value would all of those sample proportions center around?
The mean, which by the Central Limit Theorem, is [tex]\mu = 0.35[/tex].
4. What would be the standard deviation of this sampling distribution?
By the Central Limit Theorem,
[tex]s = \sqrt{\frac{0.35*0.65}{150}} = 0.0389[/tex]
Pls help extra points and mark brainlist
A 2-yard roll of plastic wrap costs $3.36. What is the price per foot?
Answer:
$0.56 per foot
Step-by-step explanation:
2 yards= 6 feet
3.36/6= 0.56
Answer:
$0.56 per foot
Step-by-step explanation:
1 yd = 3 ft
2 yd = 6 ft
3.36/6 = 0.56
what is 40 x 23 + 70 x 23
Answer:
40 x 23 + 70 x 23= 2530
Step-by-step explanation:
-6(x - 7)
Help Please
Answer:
-6x + 42
I distributed the -6
What is the y-intercept of this equation?
y=5x+8
Answer:
5x+8=13x
Step-by-step explanation:
Answer:
y = 8
Step-by-step explanation:
substitute x = 0
y = 5 × 0 + 8
y = 8
Can anyone please help me? I'm struggling.
Answer:
I'm not saying this is right, but I'd try it...
Step-by-step explanation:
Look at the X.
It's positionined by a 5.
There's no h, but we can infer that the line has something to do with it.
Look at the line's points.
Try to find an equation.
please help on this one.
Answer:
it's A
Step-by-step explanation:
look at the bolded line, it's after 4.4 which would mean z> 4.4
Answer:
A
Step-by-step explanation:
so we have a less than sign, which immediately tells us this going to be going left as 4.4 is greater. and obviously since the number is 4.4, the graph will have targeted that number. Hope this helps!
"Triple a number is 18."
Show all work
Answer: 6
Step-by-step explanation:
3x = 18
Divide 18 by 3
x = 6
Please Help Me ASAP.
Answer:
Parallel lines ALWAYS have the same slope
Step-by-step explanation:
The equations have unequal slopes, meaning they aren't parallel.
What's the answer 1/5 divided by 4
Answer:
1/20
Step-by-step explanation:
1/5 divided by four is 1/20
5x4=20
Answer:
1/20
Step-by-step explanation:
1/5 / 4
cross multiply but first write 4/1
4 * 5 IS 20
1* 1 = 1
1/20
please i’ve been stuck on this for days i need help
Answer:
x=12, y=9, z=7, w=3
Step-by-step explanation:
Evan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over tt months is given by the equation C=40t+125.C=40t+125. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
the slope of the function is 40 which represents the monthly fee to remain a mrmber.
Step-by-step explanation:
THE SLOPE IS THE COEFFICIENT OF THE INDEPENDENT VARIABLE
C= 40t + 125
how many seconds in 3 hours and 26 seconds
Answer:
10826
Step-by-step explanation:
Answer:
1 hour = 60× 60= 3,600 seconds
3 hour = 3600 ×3=10,800 second
So, 3 hours 26 seconds = 10,800+26
= 10,826 second (Answer )
Your bill at a restaurant was for $36. You want to leave a 15 % tip. What would the tip amount be?
$5.40
$6.20
$4.17
$2.40
Help please
Alex wants to buy a house in 5 years. If he puts $3245 in an account at 7.35% compounded annually for 5 years. How much money will he have for a down payment on his house?
Answer: 32.78
Step-by-step explanation:
Help&EXPLAIN
Don’t use for points or I’ll take it back and report
Answer:
132
Step-by-step explanation:
a straight line is 180% , so if the other triangle has a 48% we would subtract 180% by 48%.
Answer:
132
Step-by-step explanation:
Since those two angles are linear, they would form to make 180 degrees. So 180-48 is 132.
Which of the binomials below is a factor of this trinomial?
3x2 + 19x+6
O A. 3x + 1
O B. 3x - 1
O C. 3x+6
O D. 3x-6
Answer:
ccccccc.
Step-by-step explanation:
c.cccccccc.ccccccccccccccccccccc
Which value is a solution of the inequality 9 >_ 1/2x
18
20
24
36
The volume of this cube is 1 ft. What is its surface area? A 6 ft. B 1 ft? C 26 ft? D 10 ft?
Answer:
A
Step-by-step explanation:
The surface area of the cube is 6 ft².
What is a cube?It is a polygon having six faces.
The volume of a cube is side³.
We have,
Volume = 1 ft³
The surface area of the cube = 6a²
Now,
Volume = 1 ft³
This means,
Side = 1 ft
a = 1 ft
So,
The surface area of the cube.
= 6a²
= 6 x 1²
= 6 ft²
Thus,
The surface area of the cube is 6 ft².
Learn more about cubes here:
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Answer:
k
Step-by-step explanation:
can i have branliest answer for no reason and god bless u
Answer:
period
Step-by-step explanation:
simplify (-4 - 3n) x -8
Given that ABCD is a rhombus, what is the value of x?
B
с
(Ax-25)
O A. 29
O B. 23
O C. 46
OD. 38
O E. 45
F. Cannot be determined
Answer:
D
Step-by-step explanation:
i did the test
Answer:
I think it is B. 23
Step-by-step explanation:
Tony drives 2 times the hours that Monique does. Tony and Monique drive for a total of 12 hours.
How long did each person drive?
Answer:
so the answer would be he drives 8 hrs she drives 4 which equals 12
Step-by-step explanation:12 divided by 2 is six so then u take away 2 from moniques hrs and add them to tonys and u get 8 for him and 4 for her
A local pizza shop sells pizza by the slice at a price of $1.25 per each slice. The table below represents how much it would cost for different amounts of slices. What is the SLOPE of this table?
Slices (x) Total Cost (y)
0 slices $0
1 slice $1.25
2 slices $2.50
4 Slices $5
6 slices $7.50
8 slices $10
Is an egg a fruit or a vegetable?
Answer:
fruit
Step-by-step explanation:
can you help me with my question Complete the following sentence: After we explained why we needed her in the play, she and joined our rehearsal A quaffed B. acquiesced C vengeance D. wreaked
If f(x)=47x-55, then f(f^-1(x))=?
Nhich describes the slope of a horizontal line?
a. positive
b. negative
d. undefined
C. Zero
Step-by-step explanation:
c.
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.50 PTS! PLEASE HELP me OUT!
Answer:
my thing is being weird so i cant really help. lo siento
i am bord
Step-by-step explanation:
Guys I need help. How do I solve 3/4 + 5/8 + 2/3 - 1/6 ?
Answer:
15/8
Step-by-step explanation:
Literally find the common denomiator. That's the first step for any of these computational fraction problems.
Here are the following denomiators: 4,8,3,6. You notice that 24 is a multiple of all the numbers. Thus, our common denomiator is 24. Next we change each fraction based on our new denomiator
3/4 = 18/24
5/8 = 15/24
2/3 = 16/24
1/6 = 4/24
Now we do basic computation
18/24 + 15/24 + 16/24 - 4/24 = 45/24 = 15/8