Answer:
$122.9
Step-by-step explanation:
Given data
Principal= $114
Rate= 3.9%
Time= 2 years
The amount in the account is given as
A=P(1+rt)
substitute
A=114(1+0.039*2)
A=114(1+0.078)
A=114(1.078)
A=$122.9
A. 10
B. 29
C. 8
D. 25
Answer:
10
i hope it will help you
4x + 8y= -8
X= -2y + 1
Answer:
Step-by-step explanation:
What is the sum of 3/10s and 5/100s
(Fractions)
Answer:
80/100
Step-by-step explanation:
this is simplified ones
8/10
4/5
A drug made by a pharmaceutical company comes in tablet form. Each tablet is branded as containing 105 mg of the particular active chemical. However, variation in manufacturing results in the actual amount of the active chemical in each tablet following a normal distribution with mean 105 mg and standard deviation 1.513 mg.
A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.
B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.
Answer:
a) 25.46% of tablets will contain less than 104 mg of the active chemical.
b) 0.52% of samples will have a sample mean of less than 104 mg of the active chemical.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Normal distribution with mean 105 mg and standard deviation 1.513 mg.
This means that [tex]\mu = 105, \sigma = 1.513[/tex]
A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.
The proportion is the pvalue of Z when X = 104. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - 105}{1.513}[/tex]
[tex]Z = -0.66[/tex]
[tex]Z = -0.66[/tex] has a pvalue of 0.2546
0.2545*100 = 25.46
25.46% of tablets will contain less than 104 mg of the active chemical.
B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.
Sample means from samples of 15. So, by the Central Limit Theorem:
[tex]n = 15, s = \frac{1.513}{\sqrt{15}} = 0.39[/tex]
The proportion is the pvalue of Z when X = 104. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{104 - 105}{0.39}[/tex]
[tex]Z = -2.56[/tex]
[tex]Z = -2.56[/tex] has a pvalue of 0.0052
0.0052*100 = 0.52
0.52% of samples will have a sample mean of less than 104 mg of the active chemical.
A restaurant has an all you can eat buffet.
They charge $13.95 per person. Is it proportional?
Answer:
No
Step-by-step explanation:
You could eat a lot or a little it would still cost $13.95 a person. The price is not proportional to the amount of food that one eats
helpppppppppppppppppp
Answer:
19 units, left
Step-by-step explanation:
You can use a graphing tool or create a graph to show how these lines relate to one another. Then, count the units that have been translated and where the translation occurred.
If f(x) = −2x − 4 and g(x) = −2x + 2, which statement about the graphs of f and g is true?
A. g is a translation of f 6 units down.
B. g is a translation of f 2 units to the right.
C. g is a translation of f 2 units to the left.
D. g is a translation of f 6 units up.
Answer: D
Step-by-step explanation:
A random sample of students were surveyed as to how much non-school screen time
they had each week (for purposes of the survey, screen time was defined as: time
spent online, on social media, watching TV, or playing video games) and if their grade
average was above or below 80.
Screen Time
above below
8
8
less than 4 hours
18
16
4-8 hours
20
16
8-12 hours
11
17
more than 12 hours
What percent of the students who spend 4-8 hours a week on screens reported a
grade average above 802 Round your answer to the nearest tenth of a percent.
Answer:
the answer is 25 .
Step-by-step explanation:
Harley invested $6,300 into an account that earns 3.5% simple interest. What is the total balance of the account after 5 years
Answer:
$7402.50 I think
Step-by-step explanation:
3.5(5)= 17.5 percent
175/1000* 6300= 17.5*63= 1102.5
6300+ 1102.5= 7402.5
if my answer helps please mark as brainliest.
Special right triangle!
Answer:
cos30=24/q
q×√3/2=24
q=24×2/√3=27.71 units
Compare the original trapezoid and the enlarged trapezoid.
Trapezoid A B C D has side lengths 4 centimeters, 2 centimeters, 5 centimeters, 2 centimeters. Trapezoid W X Y Z has side lengths 10 centimeters, 5 centimeters, 12.5 centimeters, 5 centimeters.
What is the perimeter of trapezoid ABCD?
What is the perimeter of trapezoid WXYZ?
What is the scale factor for this enlargement?
Answer:
13, 32.5, 2.5
Step-by-step explanation:
Answer:
The answer is in the photo
Step-by-step explanation:
Write the log equation as an exponential equation. You do not need to solve for x.
In (4x + 8) = 2 + 5
HELP
Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits the rest in a money market account which promises a 3.75% annual yield. He invests $5000 more in treasury bonds than he deposits in the money market account. If the annual return on his investments is $661.25 how much did Kamran win?
Answer:
Amount won by Kamran = $21,450
Step-by-step explanation:
This can be calculated using the following 3 steps:
Step 1: Calculation of the amount invested in treasury bonds
Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:
PV = P / r …………………………………. (1)
Where;
PV = Present value or the amount invested treasury bonds = ?
P = Annual return on his investments = $661.25
r = Annual rate of return = 5%, or 0.05
Substitute the values into equation (1), we have:
PV = $661.25 / 0.05 = $13,225
Step 2: Calculation of the amount deposited in the money market account
From Step 1 above, we have:
Amount invested treasury bonds = $13,225
Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:
Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225
Step 3: Calculation of the amount won by Kamran
Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450
A right triangle has one that measures 11 what is the other acute angle
Answer:
[tex]\huge\boxed{ 79\°}[/tex]
Step-by-step explanation:
A right triangle has angles of measure:
=> 11°
=> 90°
The unknown angle:
=> 180 - 90 - 11 [Interior angles in a triangle add up to 180 degrees.]
=> 79°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807the fraction a/b must be equal to which expression
a b+a
b b divided by a
c a + b
d a divided by b
Well, a fraction is essentially a division expression. So A and C are out because those are addition expressions.
B and D are left. Because a is being divided by b, instead of b divided by a, the only answer left would be D.
---
sorry if this doesn't help
$17.99
with an
11.25% tax
Answer:
your final price is 19.02
your ta rate is 5.75
Step-by-step explanation:
your
Solve the equation.
n+75=105
Answer:
n = 30....................
Answer:
30
Step-by-step explanation:
n+75=105
We move all terms to the left:
n+75-(105)=0
We add all the numbers together, and all the variables
n-30=0
We move all terms containing n to the left, all other terms to the right
n=30
An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 185 tons with a standard deviation of 35 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 175 tons with a standard deviation of 28 tons. When testing the hypothesis that there is no difference between the average yields using the different fertilizers, if the test statistic is 1.53 and the critical value is 2.57 then what is your conclusion concerning the null hypothesis?
Answer:
We do not reject the null
Step-by-step explanation:
Given that :
Sample size, n = 41
Test statistic ; Zstatistic ;= 1.53
Critical value ; Zcritical ; = 2.57
The null hypothesis H0 ;
H0: μ1 - μ2 = 0
Alternative hypothesis, H1 ;
H1: μ1 ≠ μ2
Decision region :
Reject Null ; if |Zstatistic ≥ Zcritical|
Zstatistic > Zcritical
Result :
1.53 < 2.57
Zstatistic < Zcritical
Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.
On each request the ith of n possible books is the one chosen with probability pi. To make it quicker to find the book the next time, the librarian moves the book to the left end of the shelf. Define the state at any time to be the sequence of books we see as we examine the shelf from left to right. Since all the books are distinct this list is a permutation of the set
{1, 2,... n}, i.e., each number is listed exactly once. Show that Ï(i1,... in)= pi1. pi^2/1-pi_1 . pi^3/1-pi_1- pi_2 ........ pi^n/1-pi_1- pi_2.....pi_n is a stationary distribution.
Answer:
attached below
Step-by-step explanation:
loops have permutations , steps to show that the given set of permutations is a stationary distribution is attached below
What is the area of the rectangle above?
A.
72 square units
B.
66 square units
C.
17 square units
D.
34 square units
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Please help I urgently need it, I’ll give brainliest to whoever answers and 20 points!
Answer:
92.3
Step-by-step explanation:
Home to gas station: (0,0) to (6,2) = 6.3
Gas station to friends house: (6,2) to (4,-7) = 9.2
Freinds house to movie theatre: (4,-7) to (-7,-3) = 11.7
Movie theatre to ice cream: (-7,-3) to (-8,2) = 5.1
Ice cream to park: (-8,2) to (7,7) = 15.8
Park to friends house: (7,7) to (4,-7) = 14.3
Friends house to grocery store: (4,-7) to (-4,8) = 17
Grocery store to home: (-4,8) to (0,0) = 8.9
Add them together =
can someone go to my profile and answer my recent questions ty
1) Silk Road 2) Increase of trading
llus
Find the length of arc RS. Use 3.14 for .
Round to the nearest tenth.
Р
6.48 in
ie
739
1500 650
Answer: 16.96 in
Step-by-step explanation:
Answer:
it’s 17
Step-by-step explanation:
solve using elimination x-2y=12 and 5x+3y=-44 *
(4,8)
(-4,8)
(4,-8)
(-4,-8)
Step-by-step explanation:
( x-2y=12)5
5x-10y=60
- 5x+3y=-44
____________
13y=-104
y=-104/13
five friends went to a game baseball .Three of the friends each bought a ticket for x dollars and a soda for $6.00 the other two friends each bought only tickets. Write and simply an expression they represent the amount of money spent
Answer:
Total amount spent = 3X+18 +2X = 5X +18 = Total amount spent
Now if we know the total amount spent we can find the price of each ticket
But that is not given unfortunately
Step-by-step explanation:
hope it helps ( ꈍᴗꈍ)
Work out the difference between 77.5 and 2.27.
Answer:
75.23 is the answer for 77.5-2.27
Can y’all help me on question 19?!
Answer:
Its D
Step-by-step explanation:
Which figure can be formed from the net?
In ASTU, S = 360 cm, t = 110 cm and u=450 cm. Find the measure of ZU to the
nearest 10th of a degree.
Answer:140.1
Step-by-step explanation:
Answer:
140.1
Step-by-step explanation:
Help me please I really need help whoever answers this question first gets a thanks and that’s worth five points
Answer:
5 in.
Step-by-step explanation: