Answer:
The answer is the following:
r≈5.64in
Answer:
5.641
Step-by-step explanation:
If you think about it, the formula for getting the area of a circle is:
[tex]a = \pi r^2[/tex]
So to rearrange and make r the subject, divide both sides of the equation by pi:
[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]
[tex]\frac{a}{\pi} = r^2[/tex]
Now square root both sides to find r:
[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]
Plug the known area value in:
[tex]\sqrt{\frac{100}{\pi} } = r[/tex]
= 5.641
Hope this helps!
A study was conducted that measured the total brain volume (TBV) (in) of patients that had
schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal
patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009." 2013). Is
there enough evidence to show that the patients with schizophrenia have less TBV on average than a
patient that is considered normal? Test at the 10% level.
Table #9.3.5: Total Brain Volume (in ) of Normal Patients
1663407 1583940 1299470 1535137 1431890 1578698
1453510 1650348 1288971 1366346 1326402 1503005
1474790 1317156 1441045 1463498 1650207 1523045
1441636 1432033 1420416 1480171
1360810 1410213
1574808 1502702 1203344 1319737 1688990 1292641
1512571 1635918
Table #9.3.6: Total Brain Volume (in) of Schizophrenia Patients
1331777 1487886 1066075 1297327 1499983 1861991
1368378 1476891 1443775 1337827 1658258 1588132
1690182 1569413 1177002 1387893 1483763 1688950
1563593 1317885 1420249 1363859 1238979 1286638
1325525 1588573 1476254 1648209 1354054 1354649
Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a patient that is considered normal, that is, the subtraction is not negative, hence:
[tex]H_0: \mu_S - \mu_N \geq 0[/tex]
At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:
[tex]H_1: \mu_S - \mu_N < 0[/tex]
Regarding each sample, the mean and standard deviation are found using a calculator.
[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]
[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]
We have the standard deviation for each sample, hence, the t-distribution will be used.
The standard errors are given by:
[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]
[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]
The distribution of the difference has mean and standard error given by:
[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]
[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
In which [tex]\mu[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]
[tex]t = -0.47[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]
Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
A similar problem is given at https://brainly.com/question/13873630
(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second
Answer:
Step-by-step explanation:
20=total marbles
7/20 × 6/20= 21/400 or 5.25%
red white
cite a real life situation that describes the concept of direct and inverse variation. create your own word problem and answer it. present your answer with table of values, graph and equation
A need a appropriate answer, thanks...
Step-by-step explanation:
An example of direct variation would be the relationship of distance with time when speed is constant.
d = stLet's assume you travel at the speed of 60 mph. The distance at 0, 0.5, 1, 2 hours would be 0, 30, 60, 120 miles.
d = 60tThis is a linear relationship and produces a graph of line.
See the graph.
--------------------
An example of inverse variation would be the time to complete the same work as number of workers increase.
t = w/p, where w is work (constant), p- number of workersAssume 5 workers complete wok in 20 days, 10 workers do same in 10 days, 20 workers do in 5 days.
t = 100/pThis relationship produces a curved line.
See the graph.
What are the zeros of the following function?
Answer:
Hence , (a,0) is a zeros of a function
A rectangular poster has a area of 504 centimeters. The width of the poster is 14 centimeters. How long is the poster?
Answer:
36 cm
Step-by-step explanation:
504/14=36
find the sum of 6/12+1/2
Answer:
1
Step-by-step explanation:
[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]
Answer this problem y =-7/5x-1/5
Step-by-step explanation:
y=-7/5x-1/5
=-7×5/5x-1
=-35/5x-1
plzz help don't understand
Answer:
3b
Step-by-step explanation:
[tex]3\sqrt{b^{2} }[/tex]
= 3b
a dance club had 3 times as many members as an art club. The art club has 3598 fewer members than the dance club. How many members did the art club have? show bar graph
Answer:
1799 members in the art club i think but i don't have a bar graph
Step-by-step explanation:
^^
C plus 3/8 equals 1 1/3 what does C equal
ASAP
Answer:
Exact Form:
C=23/24
Decimal Form:
C=0.9583
Step-by-step explanation:
Pls help me if i got to fimd the quotient and it is due pls help if I got any of them wrong ple put it in the answer NO LINK YA SCAMMERS I don't even have anything for yall to steal from me
Answer:
4.75 divided by 5 =0.95
Step-by-step explanation:
Find the point on the line y=x that is closest to the point (-4,8)
Answer:
(2,2)
Step-by-step explanation:
You may use a calculator for this item,
Zach, Kolby, and Peyton are investing a total of $360,000 to open a cottee shop Their investments are in the radio
1:2:0.5, respectively
How much has Zach invested, in dollars?
Enter your answer in the space provided
Based on the investment ratio and the amount invested, the amount that Zach invested is $102,857.14.
First thing to do is to add up the numbers in the ratio:
= 1 + 2 + 0.5
= 3.5
The amount that Zach invested is:
= Zach's ration/ Sum of ratio x Amount invested
= 1 / 3.5 x 360,000
= $102,857.14
In conclusion, Zach invested $102,857.14.
Find out more at https://brainly.com/question/17061956.
Elliot ran 4 laps in 209.2 seconds. If he ran at the same
speed for each lap, what was his time for each lap?
Answer: 52.3 seconds
Step-by-step explanation:
209.2 divided by 4
which is 52.3 seconds
pls help the will mean the world
Answer:
A: the area of the walls that are being painted
C: the cost per gallon of different paints
F: the number of square feet that can be painted per gallon of paint
Step-by-step explanation:
Henry is investing at a continuously compounded annual interest rate of 4.4%. How many years will it take for the balance to triple? Round your answer up to the nearest whole number, and do not include units in your answer.
The number of years it would take the amount to triple is 25 years.
The formula that would be used to determine the number of years it would take the balance to triple is:
FV = PV x [tex]e^{r}[/tex]N
Where:
n = number of years fv = future value PV = present value e = 2.7182818 r = interest rate3 = [tex]e^{0.044}[/tex]N
Take the log of both sides
log(3) / log(e) / (0.044) = 25 years
A similar question was answered here: https://brainly.com/question/7133042
Write 2 over 5 as a percent.
Answer:
40%
Step-by-step explanation:
2/5 = 40/100 = 40%
Simplify 10^9 ÷ 10^7
Answer:
10^2
Step-by-step explanation:
10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2
Answer:
100
Step-by-step explanation:
Hope it helps
write an absolute value equation representing all numbers x whose distance from 0 is 6 units
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Find the equation of a line that passes through the point (2,5) and has a gradient of 2. Leave your answer in the form y = m x + c
Answer:
y=2x+1
Step-by-step explanation:
y-5/x-2=2
2x-4=y-5
y=2x+1
64/ 896 neeed to use dividing decimals
Frank is going to buy some ties
at $7.50 per tie and some shirts
at $18.50 per shirt. If he buys
twice as many ties as shirts and
spends no more than $205, what is the greatest number of shirts he
can buy? [All prices include tax.]
Answer:
6 shirts
Step-by-step explanation:
The cost of a shirt and 2 ties is ...
$18.50 +2(7.50) = $33.50
For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.
Frank can buy 6 shirts (and 12 ties) for an amount less than $205.
_____
Additional comment
Frank's cost will be $201 for that purchase.
Which relation is not a function?
Multiply or divide. write fractions in simplest form.
2/3 * (-2 1/4) * (-1 1/2)
i really need help with this problem! i will mark you brainliest :)
Step-by-step explanation:
Okay so, let's turn these into decimals first (rounded to nearest 2 thousandths).
2/3 = 0.66666 (repeating), to the nearest 2 thousandths would be 0.66.
-2 1/4 = -9/4 = -2.25
-1 1/2 = -3/2 = -1.5
then we set up the problem
0.66 × -2.25 × -1.5 = 2.2275 rounded 2.22 as an improper fraction 111/50 and that cannot be simplified any smaller.
PLS HELP WILL MARK BRAINLIEST
The price was reduced from two thousand, four hundred ninety-eight dollars to one thousand, nine hundred ninety- nine dollars. By how much was the price reduced?
Answer:
$499
Step-by-step explanation:
Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.
2489-1999=499
(When you get your answer,make sure to add the dollar sign.)
The price was reduced by $499.
What is the net pay for these details?
$764 gross pay
Federal withholding $128
FICA $41.87
State $45.15
Health $19.25
A. $529.73
B. $568.23
C. $658.53
D. $703.77
Answer:
Its a
Step-by-step explanation:
1. What is the place value of 7 in 43.0671? A. tenths B. hundredths TA C. thousandths D. ten thousandths
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select three options. choosing 1 blue marble choosing 1 red marble choosing 1 red marble, not replacing it, and then choosing a blue marble choosing 1 white marble, replacing it, and choosing another white marble choosing 1 white marble
hi i know i'm late but might as well add my answer!
here's your answer: B D E or
B.choosing 1 red marble
D.choosing 1 white marble, replacing it, and choosing another white marble
E.choosing 1 white marble
hope i helped
Answer:
b d and e
Step-by-step explanation:
ya
2x-32=12
means they spent how much
Answer:
22
Step-by-step explanation:
