If 8 people invest each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work
This question is incomplete, the complete question is;
If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work
Answer:
Each person lost $25
Step-by-step explanation:
Given the data in the question;
Number people that invested = 8
Amount each invested = $500
worth after a year the collection = $3,800
Now, the amount each person lost will be;
[tex]Lost_{each-person[/tex] = Total loss / total number of persons
[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8
[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8
[tex]Lost_{each-person[/tex] = 200 / 8
[tex]Lost_{each-person[/tex] = 25
Therefore, each person lost $25
Tanya is playing Pokemon Go, and searching for a Snorlax. The game is programmed such that pokemon are generated randomly, and there is a 5% chance that a Snorlax will appear. Tanya will search Mill Creek park until she captures 312 random pokemon. Consider the proportion in her sample that will be Snorlax. As we have learned, the sample proportion is a random quantity.
Required:
a. What type of random variable can we use to approximate the sample proportion?
b. What is the mean of the sample proportion?
c. What is the standard deviation of the sample proportion?
d. What is the approximate probability that more than 10% of her sample will be Snorlaxes?
Answer:
a) Approximately normal variable.
b) 0.05.
c) 0.0123
d) Approximately 0% probability that more than 10% of her sample will be Snorlaxes
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 z-score 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 p-value, 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.
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]
5% chance that a Snorlax will appear. Tanya will search Mill Creek park until she captures 312 random pokemon.
This means that [tex]p = 0.05, n = 312[/tex]
a. What type of random variable can we use to approximate the sample proportion?
By the Central Limit Theorem, an approximately normal variable.
b. What is the mean of the sample proportion?
[tex]\mu = p = 0.05[/tex]
The mean is 0.05.
c. What is the standard deviation of the sample proportion?
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{312}} = 0.0123[/tex]
d. What is the approximate probability that more than 10% of her sample will be Snorlaxes?
This is 1 subtracted by the pvalue of Z when X = 0.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.1 - 0.05}{0.0123}[/tex]
[tex]Z = 4.05[/tex]
[tex]Z = 4.05[/tex] has a pvalue of approximately 1
1 - 1 = 0
Approximately 0% probability that more than 10% of her sample will be Snorlaxes
compete the two column proof
Answer:
i cant read half the stuff on the paper
bye
The sum of two numbers is 2. Their difference is -16. What is the first number?
Answer:
the number are 9 and -7
Step-by-step explanation:
9 + -7 = 2
9 - (-7) = -16
Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer
1
Answer:
-8 yd. lost in football
Step-by-step explanation:
Which graph represents the solution set of the inequality x+2267
-1 0
3
.
10
9 -
1
3
5.
B
O +
-6--4--221
0
1
3
15
-6
1
10
1
Answer: D
Step-by-step explanation:
Below is the Excel output from a single factor ANOVA analysis. The data was collected to measure the effect of fertilizer amount on the pH of soil samples. Anova: Single Factor SUMMARY Groups Count Sum Average Variance 0 3 23.280 7.760 0.011 0.11 3 23.300 7.767 0.012 0.19 3 23.340 7.780 0.017 0.38 3 23.530 7.843 0.020 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 0.013 3 0.004 0.289 0.832 4.066 Within Groups 0.121 8 0.015 Total 0.134 11 A hypothesis test will be done to determine whether or not to accept the shipment. According to the output, the fertilizer level had a significant effect on the pH of soil samples. True False
Answer:
False
Step-by-step explanation:
In the question, it is given a output of a single factor ANOVA analysis. It provided the measure of the effect of the amount of fertilizer on the pH of the soil samples.
pH may be defined as the content of alkalinity or acidity of a solution or the sample on a logarithmic scale. The pH value of 7 is considered to be neutral.
From the data sheet in the context, the p value of the ANOVA analysis is 0.8324. This value is very large value. So the results are not very statistically significant. As the p value is large, therefore, the answer is false.
-picture linked-
ILL MARK BRAINLIEST
PLEASE HELP ME ASAP
Answer:
a
Step-by-step explanation:
PLEASE HURRY
Kevin rides the bus to school each day. He always arrives
at his bus stop on time, but his bus is late 80% of the time.
Kevin runs a simulation to model this using a random
number generator. He assigns these digits to the possible
outcomes for each day of the week:
• Let 0 and 1 = bus is on time
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = bus is late
The table shows the results of the simulation.
Group number 1
2
3
4
5
Random digits 28713 01792 00095 72765 24943
Group number 6
7
8
9
10
Random digits 39638 24697 | 47511
0929771197
What is the estimated probability that Kevin's bus will be late every day next
week?
Answer:
4/10=40%
Step-by-step explanation:
Answer:
4/10=40%
Step-by-step explanation:
Each of 6 students reported the number of movies they saw in the past year. This is what they reported:
6, 15, 7, 16, 19, 12
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
Median: movies
Х
5
?
Mean: I movies
Answer:
Median = 13.5
Mean = 12.5
Step-by-step explanation:
What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-(-1))/(-8-4)
m=(-7+1)/-12
m=-6/-12
m=1/2
y-y1=m(x-x1)
y-(-1)=1/2(x-4)
y+1=1/2x-4/2
y=1/2x-2-1
y=1/2x-3
Write each percent as a common fraction
16 2/3
9514 1404 393
Answer:
1/6
Step-by-step explanation:
16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6
3.04 divided by 0.04
Answer:
76
Step-by-step explanation:
3.04/ 0.04=76
(-4) + 8 =
-10 + 12
9 +(-3)
(+3) + (-3)
5 +(-2)
(-18) + 9
25 + (-30)
Step-by-step explanation:
42603-9-5all these are the answers of your question
hope it is helpful to you
Find the product and fill in the blanks to write in standard complex number form.
(5+3)(8 - 2) =
Answer:
14
Step-by-step explanation:
Find the product and fill in the blanks to write in standard complex number form.
Help ASAP WILL GIVE BRAINLY!!
Need help on all answers/ show work
Answer:
Jdjdkdjdjdjdjfjfjdjfjdkdjdjdjdjdjdjdjfjjff
What is the place value of the 2 in the following number?
43.287
tenths
thousandths
hundredths
Answer:
tenths
Step-by-step explanation:
0.2 is two tenths
so twotenths
Answer:
tenths
Step-by-step explanation:
from the decimal it would go
.tenths hundreds thousands
3. Which graph shows the probability distribution of the spinner (red, green, blue, yellow)?
Answer: the first graph does
Step-by-step explanation:
Pls help 10 ptsssssssssssss
NO LINKS
I MEAN IT I WILL FLAG YOU
Answer:
20
Step-by-step explanation:
its is 20 for both because the 0 and 20 are the same.
term of the sequence 8, 16, 32,
Answer:
8,16,32,64
Step-by-step explanation:
8 to 16 +8
16 to 32 +16
32 to 64 +32
Answer:
8,16,32,64,128,256...
Step-by-step explanation:
the sequence is multiplied by 2
for example; 8*2= 16
16*2=32
Find the value of the tangent for ZA.
40 in
12 in
391
CH
91
91
10
b.
3
d.
1091
3
10
Please select the best answer from the choices provided
Answer:
a
Step-by-step explanation:
a
Multiply (3x - 2)(4x - 7).
7x² - 13x+5
B)
7x2 - 29x + 14
C)
12x2 - 13x + 14
D)
12x2 - 29x + 14
Answer:
D
Step-by-step explanation:
...............
.
....
Step-by-step explanation:
[tex] \tt \mapsto \:(3x - 2)(4x - 7) \\ \tt \mapsto \:3x(4x - 7) - 2(4x - 7) \\ \tt \mapsto \: {12x}^{2} - 21x - 8x + 14 \\ \tt \mapsto \: {12x}^{2} - 29x + 14[/tex]
Option D is correct
You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84
$972.84 is invested in total after 1 year.
Correct option is (D)
What is compound interest?Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.
As per the given data:
Compounding frequency (n) = 12
Final value (FV) = $1000
Time period (t) = 12 months = 1 year
[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]
FV – Future worth of the investment is the final balance in our calculation.
P – Initial balance (the value of the investment);
r – Annual interest rate (in decimal);
n – Number of times the interest is compounded per year (compounding frequency); and
t – Numbers of years the money is invested for.
Substituting the given values
[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]
[tex]P = \$ 972.84[/tex]
Hence, $972.84 is invested in total after 1 year.
To learn more about compound interest, click:
brainly.com/question/13155407
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A fair coin is tossed three times. What is the probability of getting at least two heads?
X2
2
ab
ab to
b
The diagian
K
n shows
rectangle. The shade
Find x.
Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
kamal earned a total of $32500 in 2017
he paid 9% of his amount into his pension
he paid 22% tax on the remainder of his earings
what is the amount left after paying his pension and his tax???
need the working.
$32500 * 0.09 = 2925
32500-2925 = 29575
29575 * 0.22 = 6506.5
Amount left: 29575 - 6506.5 = 23068.5
Let Y1 < Y2 < Y3 < Y4 < Y5 be the order statistics of five independent observations from an exponential distribution that has a mean of θ = 3. (a) Find the p.d.f. of the sample median Y3. (b) Compute the probability that Y4 is less than 5.
Answer:
a) [tex]10[1-e^{-y/3} ] ^{2} e^{-y}[/tex]
b) ≈ 0.76
Step-by-step explanation:
Given that : Y1 < Y2 < Y3 < Y4 < Y5 are the order statistics of five independent observations
mean of θ = 3
a) Determine the P.d.f of the sample median
P.d.f of sample median ( y3 ) = [tex]10[1-e^{-y/3} ] ^{2} e^{-y}[/tex]
attached below is the detailed solution
b) determine the probability that Y4 is < 5
p( Y4 < 5 ) = G4( 5 )
= 0.7599 ≈ 0.76
attached below is the detailed solutions
Which set is a proper subset of the counting numbers?
{−1,0,1}
{5}
{0}
{1,2,3,…}
Answer:
{5}
Step-by-step explanation:
Set of counting numbers:
Set of numbers you count with, starting from 1. So
C = {1,2,3,4,5,....}
Proper subset of a set:
A proper subset of a set A is a subset B that is not equal to A, that is, all elements of B are in A but A has at least one element that is not in B.
In this question:
The set of counting numbers is C = {1,2,3,4,5,....}
Among the options, {-1,0,1} and {0} are not subsets of C, as they contain elements that are not in C, while {1,2,3,...} is not a proper subset, as it is equals to C. So the correct answer is {5}.
sin 0 = - 3/5 and cos 0 > 0. Identify the quadrant of the terminal side of 0 and
find cos 0
Answer:
Quadrant IV
cos0=4/5
Step-by-step explanation:
Direct Variation
There are about 100 calories in 30 grams of Swiss cheese. Ruth ate 70 grams of this cheese. About how many calories were in the cheese that she ate if the number of calories varies directly as the weight of the cheese?
a. 224
b. 280
c. 218
d. 233
Please select the best answer from the choices provided
Answer:
d.233 is the answer
Step-by-step explanation:
hope it helps you