Answer:
Approximately [tex]0.012[/tex] (that's approximately [tex]1.2\%[/tex].)
Step-by-step explanation:
The question did not specify the exact distribution of the size of those images. However, the sample size [tex]n = 80[/tex] is a rather large number. Assume that:
the sizes of these [tex]80[/tex] images follow the same distribution, with mean [tex]\mu = 0.5[/tex] megabytes and standard deviation [tex]\sigma = 0.2[/tex] megabytes.the size of each image is independent of one another.If both assumptions are met, the central limit theorem would apply. This theorem would suggest that the sum of the sizes of these [tex]80[/tex] image (a random variable) will approximately follow a normal distribution. The mean of that sum would be approximately [tex]n\cdot \mu= 80 \times 0.5[/tex]. The standard deviation of that sum would be approximately [tex]\sigma\, \sqrt{n} = 0.2\times \sqrt{80}[/tex].
Let [tex]\displaystyle \Sigma X[/tex] denote the sum of these eighty sizes.
Under these assumption, [tex]\displaystyle \Sigma X \stackrel{\text{app.}}{\sim} \mathrm{N}\left(n\, \mu,\, \sigma\,\sqrt{n}\right)[/tex].
That is: [tex]\displaystyle \Sigma X \stackrel{\text{app.}}{\sim} \mathrm{N}\left({80\times 0.5},\, \left(0.2\times \sqrt{80}\right)^2}\right)[/tex].
The question is asking for the probability [tex]P(49 \le \Sigma X \le 53)[/tex]. Therefore, calculate the [tex]z[/tex]-score that corresponding to [tex]\Sigma X = 49[/tex] and [tex]\Sigma X = 53[/tex]:
For [tex]\Sigma X = 49[/tex], the [tex]z[/tex]-score would be [tex]\displaystyle \frac{\sum X - n\, \mu}{\sigma \sqrt{n}} = \frac{49 - 80 \times 0.5}{0.2\times \sqrt{80}} = 2.25[/tex].For [tex]\Sigma X = 53[/tex], the [tex]z[/tex]-score would be [tex]\displaystyle \frac{\sum X - n\, \mu}{\sigma \sqrt{n}} = \frac{53 - 80 \times 0.5}{0.2\times \sqrt{80}} = 3.25[/tex].Make use of a [tex]z[/tex]-table to find these two probabilities:
[tex]P(X \le 49) = P(Z < 2.25) \approx 0.98778[/tex].[tex]P(X \le 53) = P(Z < 3.25) \approx 0.99942[/tex].Calculate the probability that this question is asking for:
[tex]\begin{aligned}& P(49 \le \Sigma X \le 53) \\ &= P(\Sigma X < 53) - P(\Sigma X < 49) \\ & \approx 0.99942 - 0.98778 \approx 0.012 = 1.2\%\end{aligned}[/tex].
0.25 of 40 plz plz help
Please help, I really need help, will mark brainliest
ANSWER
have it right it is -4
A dozen is how much in maths?
Answer:
well for me it's
Step-by-step explanation:
12
But a german dozen is 13
please give me brainlest
the answer below thanks
Answer:
The equation of the circle having centre (-5,-9) and radius r=3 is
x² + 10 x +y² + 14 y + 65 = 0
Step-by-step explanation:
Explanation:-
From graph The centre of the circle C( -5 , -7)
The radius of the circle r = 3cm from the centre of the given circle
The equation of the circle
From graph the centre ( h, k) = ( -5,-7) and r = 3cm
[tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]
x² + 10 x +25 +y² + 14 y + 49 =9
x² + 10 x +25 +y² + 14 y + 49 -9=0
The equation of the circle
x² + 10 x +y² + 14 y + 65 = 0
lb = 64 oz Helppppppppppppp me
[tex]5[/tex]
Answer:
no u
Step-by-step explanation: no no no no no no no no no
What is the y-value of the solution of the system of equations given below?
3x + 2y = -6
y = 2x + 4
A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 5 median age in 2005, X2 5 number of 2005 bank- ruptcies per 1,000 people, X3 5 2004 federal expenditures per capita, and X4 5 2005 high school graduation percentage. (a) Write the fitted regression equation. (b) Interpret each coef- ficient. (c) Would the intercept seem to have meaning in this regression
Answer:
hello your question is incomplete attached below is the complete question
Answer :
a) attached below
b) Agemed ; 2005 median age of population
Fedspend ; 2004 federal spending per capita for all functions
HSGrad% ; 2005 public high school graduation rate
Bankrupt ; 2005 corporate or individual bankruptcies filed per 1,000 population
c) No
Step-by-step explanation:
A) Fitted regression equation
attached below is the excel procedure and the answer related to the question
b) Interpret each coefficient
Agemed ; 2005 median age of population
Fedspend ; 2004 federal spending per capita for all functions
HSGrad% ; 2005 public high school graduation rate
Bankrupt ; 2005 corporate or individual bankruptcies filed per 1,000 population
C) would the intercept seem to have meaning in this regression
The intercept wouldn't have a meaning in this regression
What is the value of −|−20| + |−8| ÷ |−4| − |6|?
What is -23/6 - 7/3
A-37/6
B-30/9
C-16/6
D37/6
Answer:
A
Step-by-step explanation:
i solved it
x + 5y = 8
3x = 24 - 157
Answer:
x = [tex]-\frac{133}{3}[/tex], y = [tex]\frac{157}{15}[/tex]
Step-by-step explanation:
x + 5y = 8
3x = 24 - 157
3x = 24 - 157
3x = -133
x = [tex]-\frac{133}{3}[/tex]
x + 5y = 8
[tex]-\frac{133}{3}[/tex] + 5y = 8
5y = [tex]\frac{157}{3}[/tex]
y = [tex]\frac{157}{15}[/tex]
CO
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If
she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
a. Very likely, recurring debt is less than what is allowed.
b. Somewhat likely, recurring debt is equal to what is allowed.
C. Not likely, recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
C. Not likely, recurring debt is higher than what is allowed.
edge 2021
Mandy's approval based on her debt - to - income ratio is;
C: Not likely, recurring debt is higher than what is allowed.
What is Debt to income ratio?Debt to income ratio is simply the percentage of your gross monthly income that goes to paying your monthly debt payments.
Now, her annual salary is $37,580. This means that her monthly income is; 37580/12 = $3131.67
Her monthly debt servicing = $265 + $120 =$385
Using the 28/36 ratio, the maximum allowable recurring debt for someone with a monthly income of $3,200 is $256.
Since her recurring monthly debt is $385 it is more than the maximum recurrent limit and so her home loan will not be approved.
Read more about debt - to - income ratio at; https://brainly.com/question/24814852
HELP
i need a graph of 10x+6y=150
Rearrange the equation to get it into slope intercept form:
10x+6y=150
6y=-10x+150
y=-5/3x+25
The slope is -5/3, the y-intercept is 25. Graph below:
Answer:
See below
Step-by-step explanation:
Given
10x + 6y = 150To graph the line easily, find x-intercept and y-intercept and connect those points with a line, that will be a graph you need.
x-intercept is the coordinate of x when y = 0
10x + 6*0 = 15010x = 150x = 15y-intercept is the coordinate of y when x = 0
10*0 + 6y = 1506y = 150y = 25We have now required points:
(0, 25) and (15, 0)The graph is attached
HELPP QUICKKK its timedd
Answer:
10
Step-by-step explanation:
Sophia had 63¢ until she spent 5 nickels. How much money does Sophia have now?
Answer:
38 cents
Step-by-step explanation:
5x5=25
63-25=38
help meeeeeeeeeeeeeeeeeee
Answer:
18
Step-by-step explanation:
the other right triangle is 3-4-5. so, 3*4/2=6
4*6/2=12
6+12=18
give brainliest pls
A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
25 Point Math Question Image Attached
X = hypotenuse x sin(angle)
Rewriting this with the given information:
Sin(26) = x/10
The answer is B.
Answer:
answer is B
Step-by-step explanation:
just got it right
what is the value of x in the eqation 5[x-6] = 2 [x+3]
Answer:
x = 12
Step-by-step explanation:
5x - 30 = 2x + 6
3x = 36
x = 12
Answer:
x=12
Step-by-step explanation:
1) distribute values:
5x-30=2x+6
2) add 30 to both sides
5x=2x+36
3) subtract 2x from both sides
3x=36
4) divide by 3
x=12
12. A company advertises on a website. A worker tracked the number of visits to the
website and the number of clicks on the advertisement. The table shows the data
for several days. A linear function can be used to model the data.
Website Advertisement
Number of Visits
to Website, X
Number of Clicks
on Advertisement, y
14
153
629
38
471
30
914
53
307
21
1,045
60
510
32
1,106
63
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1,500 people visit the website?
Answer:
The answer is 83
Step-by-step explanation:
It's a build up of a continental slope
Im in 8th grade and hope this helped
Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answer:
use calculater
Step-by-step explanation:
What is the slope of a line that passes through the following points (4, 6) and (2, 0)?
Answer:
3
Step-by-step explanation:
Step-by-step explanation:
formula to fine slope
m=tan()=y2-y1/x2-x1
I CAN GIVE BRAINLIEST!!!!!!
Answer: 2/1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Line is passing through the points (2, 3) & (5, 9)
Slope = (9 - 3)/ (5 - 2) = 6/3 = 2
Slope of the line is 2.
can anybody help me and explain how to calculate it?
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
1. note, that
[tex]arcsin\frac{1}{2}=\frac{\pi}{6};arcsin\frac{\sqrt{2}}{2}=\frac{\pi}{4};arcsin1=\frac{\pi }{2};arcsin\frac{\sqrt{3}}{2}=\frac{\pi}{3}[/tex]
2. after the substitution:
[tex]\frac{\pi}{6}+\frac{\pi }{4}- \frac{\pi }{2} + \frac{\pi }{3}=\frac{\pi }{4}.[/tex]
Solve the equation.
k/-9 =7
Answer:
k=-63
Step-by-step explanation:
multiply both sides by -9
k=7*-9
k=-63
Answer:
-63
Step-by-step explanation:
by simplifying both sides of the equation, then isolating the variable. k= -63
-9 x 7 = -63
What does "(-2)(6)" mean
Answer:
Step-by-step explanation:
it means that you do negative 2 times 6. That is -2 x 6, which is -12
Answer:
implied multiplication
Step-by-step explanation:
(-2)(6)
When two parentheses are next tow each other, there is implied multiplication
-2 * 6
-12
In the accompanying diagram of ABC, AB = 6, BC = 8, and AC = 12. Points X, Y, and Z are midpoints of AB, BC, and AC, respectively. Find the perimeter of quadrilateral XYCZ.
Answer:
cb
Step-by-step explanation:
HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False
Answer:
True
Step-by-step explanation:
Answer:
[tex] \huge\purple{TRUE}[/tex]
Step-by-step explanation:
The absolute value of any number is always positive.
I need help with this
Answer:
A
Step-by-step explanation:
process of elimination... :D
Leshonda had been working at her job for almost twenty years. She felt like she worked overtime more often than not (more than 50% of the time) and deserved a raise, so she randomly selected 50 paychecks (each for one week of work) and found that she had worked overtime in 32 of those weeks. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether Leshonda worked overtime more often than not. Identify the p-value, rounding to three decimal places.
Answer:
Z statistic = 1.980
Pvalue = 0.024
Step-by-step explanation:
Sample size (n) = number of paychecks = 50
Number of overtime (x) = 32
Let Number of overtime = o
Claim : Overtime work is done more than 50% of the time ;
Null hypothesis:H0: o = 0.5
Alternative hypothesis : H1: o > 0.5
Using the T84 calculator :
Selecting the 1 proportion test under the Stat menu:
p0 = 50% = 0.5
x = 32 ; n = 50 ; >p0
The z test statistic value obtained is 1.980 (3 decimal places)
The P value = 0.024 (3 decimal places)
At α = 0.05 ;
P value < α ; therefore we reject the null
Hence, overtime work is done more than 50% of the time.
True or false
do all states have an income tax?
Answer:
All states have a state income tax. The amount of tax withheld generally depends on the level of income and the number of exemptions claimed.