Answer: ooo ok i got it. it is nice
The radioactive compound 14CO2 may be used as a tracer to study metabolism in plants. Suppose that a compound isolated from a plant exhibited 28, 32, 27, 39 and 40 counts of radioactive decays per minute. A blank sample used to measure the background counts of the radiation counter gave 28,21, 28 and 20 counts per minute. It appears that the isolated compound gives more counts than those from background. Can we be 95% confident that the compound is indeed radioactive?
Using the t-distribution, it is found that since the test statistic is more than the critical value for the right-tailed test, it can be conclude that the isolated compound gives more counts than those from background, and hence, we can be 95% confident that the compound is indeed radioactive.
At the null hypothesis, it is tested if isolated compounds do not give more counts than those from background, that is:
[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]
At the alternative hypothesis, it is tested if the give more counts, that is:
[tex]H_1: \mu_1 - \mu_2 > 0[/tex]
Using a calculator, the mean and the standard deviation for each sample are given by:
[tex]\mu_1 = 33.2, s_1 = 6.058[/tex]
[tex]\mu_2 = 24.25, s_2 = 4.35[/tex]
Considering the sample sizes of 5 and 4, respectively, the standard errors are given by:
[tex]s_1 = \frac{6.058}{\sqrt{5}} = 2.71[/tex]
[tex]s_2 = \frac{4.35}{\sqrt{4}} = 2.175[/tex]
For the distribution of differences, the mean and standard error are given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 33.2 - 24.25 = 8.95[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.71^2 + 2.175^2} = 3.4749[/tex]
The standard error was found from the standard deviation for each sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.95 - 0}{3.4749}[/tex]
[tex]t = 2.58[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 5 + 4 - 2 = 7 df and a 0.05 significance level is of [tex]t^{\ast} = 1.895[/tex]
Since the test statistic is more than the critical value for the right-tailed test, it can be conclude that the isolated compound gives more counts than those from background, and hence, we can be 95% confident that the compound is indeed radioactive.
A similar problem is given at brainly.com/question/24826023
Please help me on this!!! I’d really appreciate it!!!
Answer:
B
Step-by-step explanation:
Nineteen less than twice a number is greater than the number added by four
Answer:
2x - 19 + x + 4
Step-by-step explanation:
2x - 19 + x + 4
-4x+2y=0
10x+3y=8
HELPPPPPPP
Answer:
x=1/2 y =1
Step-by-step explanation:
(-4x+2y)/2x5=0/2x5
10x+3y=8
(-2x+y)x5=0
10x+3y=8
-10x+5y=0
10x+3y=8
8y=8
y=1
x=1/2
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.
Answer:
the answer is in the site faith mate is the same question and in that site have the response np
Approximately what portion of the circle is shaded blue?
A. 2/3
B. 2/10 C.2/5
Answer:
2/5
Step-by-step explanation:
Try to make equal sections. The fraction they are asking for has the shaded number of sections on top (this us called the numerator) and the total number of sections on the bottom (this is called the denominator) see image
11) Which shows another way to write 6%?
A) 6
B) -6
C) 0.06
D) six tenths
Answer:
i think C. 0.06 is answer
Step-by-step explanation:
6% = 6/100 = 0.06
[tex]6\% \\ = \frac{6}{100} \\ = 0.06[/tex]
Answer:
C) 0.06
Hope you could get an idea from here.
Doubt clarification - use comment section.
PLS HELP ME WITH GEOMETRY PLSAND THANK YOU
Answer:
Yes
Step-by-step explanation:
They are equal acute triangles, are congurent. Your welcom
[tex]\displaystyle \text{Find the summation given that } f(x) = x^3 \text{ and } \triangle x_i = 2 + \frac{i}{4}. \\ \\\[ \sum_{i = 1}^{4} x^3 \times \triangle x[/tex]
Answer:
Click the picture and u will see the answer.
#CarryOnLearning
The summation of the given function from 1 to 4 is 10.5x³.
The given parameters:
[tex]\Sigma \ x^3 \times \Delta x, \ \ \ \Delta x = 2 + \frac{i}{4} \\\\[/tex]
The summation of the given function from i = 1, to i = 4, is calculated as follows;
[tex]\Sigma \ x^3 \times \Delta x = x ^3 (2 + \frac{1}{4} ) + x ^3 (2 + \frac{2}{4} ) + x ^3 (2 + \frac{3}{4} ) + x ^3 (2 + \frac{4}{4} )\\\\= x^3(10\frac{1}{2} )\\\\=\frac{21}{2} x^3\\\\= 10.5x^3[/tex]
Thus, the summation of the given function from 1 to 4 is 10.5x³.
Learn more about summation of functions here: https://brainly.com/question/16599038
Lena bought 40 tickets to use at a carnival. She used some of the tickets to ride the bumper cars and play some games. Now she has 24 tickets left. What is the percent of decrease in the number of tickets that he has?
a. 66.6
b. 40
c. 60
d. 80
Answer:
40
Step-by-step explanation:
that's how it is done hope it will help
Please help and I have to do this as soon as possible
Answer:
60
Step-by-step explanation:
→ Work out the change in distance
160 - 40 = 120
→ Work out the change in time
3 - 1 = 2
→ Apple speed = distance over time
120 ÷ 2 = 60
find the value of p-8 when p=14
Answer:
6
Step-by-step explanation:
If p = 14
rewrite the equation
so replace the variable with 14.
now do basic subtraction.
14 - 8
= 6
if 10 people share 5 cookies , how much cookie does each person get
Answer:
1/2
Step-by-step explanation:
5 / 10 = 1/2
HELP ASAP
The temperature was -1°F at noon and dropped to -14°F by the evening.
What was the change in temperature?
13°F
-13°F
-15°F
15°F
Answer:
The change in temperature is -13°F.
Step-by-step explanation:
The change in temperature is,
→ -1 + x = -14
→ x = -14 + 1
→ [ x = -13 ]
Therefore, -13°F is the change.
identify a potential sustainable agriculture practice to reduce the impact of the large-scale intensive agriculture on
Answer:
Focus on planting trees and and getting healthier soil, improve energy efficiency and not use so much pesticides using natural ways to plant things.
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
On a number line, point O is at -7, and point P is at 8. Point N lies between points O and P. If the ratio of ON to NP is 4:8, where does point N
lie on the number line?
Point N is at
on the number line.
Answer:
N is at -2 on the number line
Step-by-step explanation:
The location of point N can be found by writing the segment lengths as a proportion.
ON : NP = 4 : 8
8(ON) = 4(NP) . . . . . . . . "cross multiply"
2(N -O) = (P -N) . . . . . divide by 4, show lengths ON and NP
2(N -(-7)) = 8 -N . . . . . use given values of O and P
3N = -6 . . . . . . . . . . . add N-14 and simplify
N = -2 . . . . . . . . . . divide by 3
Point N is at -2 on the number line.
If the ratio of ON to NP is 4:8, point N lie on the -2 at the number line.
Point O is at -7.
Point P is at 8.
The ratio of ON to NP is 4:8.
The ratio 4:8 simplifies to 1:2. This means that ON is one-third of the total distance from O to P, and NP is two-thirds of the total distance.
The total distance from O to P is the sum of the distances between O and N, and between N and P.
As the ratio of ON to NP is 1:2, and the total distance is 15 (8 - (-7) = 15), we can set up the following equation:
ON/NP = 1/2
ON/(15 - ON) = 1/2
Now we can solve for ON:
2 × ON = 15 - ON
3 × ON = 15
ON = 5
So, ON is 5 units away from O.
Now O is at -7, point N is at -7 + 5 = -2 on the number line.
So, N is at -2.
Learn more about number line here:
https://brainly.com/question/24644930
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Round 48.079 to the nearest tenth.
A:48.08
B:48.8
C:50
D:48.1
Answer:
48.1
Step-by-step explanation:
Seven rounds up.
Hope this helped! :)
PLEASE HELP ASAP! harold makes a plan to save $500 per month for the next 5 years. He is depositing it in an interest bearing account at 2% APR (compounded monthly). What will be Harold’s balance at the end of 5 years?
Answer:
50
Step-by-step explanation:
Help help help help help math math
Step-by-step explanation:
again, a line cutting through 2 parallel lines must have the exact same angles with both of them. otherwise they would not be parallel.
therefore, both angles must be identical
3x + 2 = 2x + 6
x = 4
what does the u stand for in these problems? is it the same as r?
I think "u" stands for units. [tex]u^2[/tex] means units squared which is like saying ft^2 if you were looking for the area of something with feet dimensions. So in this case, the circle has a diameter of x units (u) and an area of x units^2 ([tex]u^2\\[/tex]). It is not the same as r. "r" is most always going to be used to represent the radius.
13/15% of a quantity is equal to what fraction of the quantity?
Answer:
13/15
Step-by-step explanation:
The slope of a line running through points (6, 2) and (5, 7) is: 5. -5. 1. -1.
Answer:
-5
Step-by-step explanation:
We use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-2)/(5-6)
= 5/-1
= -5
Given f(x)=9-2x, find f(10).
A.-11
B.11
C.29
D.-29
Answer:
the answer is A
Step-by-step explanation:
9-2(10) 9-20
The given function is a linear function that decreases as the value of the
input x increases.
The value of f(10), given f(x) = 9 - 2·x is option A. -11Reasons:
The given function is f(x) = 9 - 2·x
The output of the function is the value of f(x) for a given input x of the function.
The input value, x is substituted into the function to obtain the output value, f(x).
Given that the input, x = 10
We have;
f(10) = 9 - 2×10 = -11
Therefore, the correct option for f(10) is A. -11
Learn more about functions here:
https://brainly.com/question/10781304
A 4-card hand is dealt from a standard 52-card deck, and then one of the 4 cards is chosen at random. If only two of the cards in the hand are hearts, what is the probability that the chosen card is a heart?
Explanation:
There are two hearts out of four cards in this particular hand. The probability of picking a heart card is 2/4 = 1/2
In other words, we have a 50% chance of getting a heart. The prior stuff dealing with the 52 card deck is just extra unneeded info.
7/18 divided 13/36 help
Answer:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/18 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
18 = 2 × 3^2;
gcf (7; 2 × 3^2) = 1;
Fraction: 13/36 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
13 is a prime number;
36 = 2^2 × 3^2;
gcf (13; 2^2 × 3^2) = 1;
Reduce (simplify) fractions to their simplest form, online calculator
135% as a fraction or a mixed number fully simplified please
Answer:
135% = 27/20 = 17/20 as a fraction
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
135% = 135/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 135 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(135,100) = 5. So,
(135÷5)/(100÷5) = 27/20 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 135/100 is also equal to 1 7/20 when expressed as a mixed number.
Will give brainliest!! Thank you
Answer:
All the mentioned can be constructed with the help of piling method. But, for construction of B and D we need a point as well.
Please give brainliest only need 3 more brainliest before next rank!
Step-by-step explanation:
a) Yes, a cube can be formed by stacking polygons. If we stack squares one upon another, then the resulting 3-D figure would be a cube.
b) Yes, a cone that does not include the point can be made by stacking disc. If we stack discs such that the discs are arranges in descending order then the resultant 3-D figure would be a cone that does not include a point.
c) Yes, a pyramid can be formed by stacking polygons.
If we stack squares such that they are arranged in descending order of their side length and stacked by a point on the top. Then the resultant figure would be a pyramid that includes a vertex.
f) There are many types of prism. Fro example a rectangular prism can be constructed by simply stacking rectangle polygon on one another.
e) Yes, a cone can be formed by stacking disc.
We need to stack disks arranged in descending order of their radius stacked with a point on the top. The resulting figure would be a cone that includes a point.
f) Yes, a cylinder can be formed by stacking. We need to stack discs of same radius to get a cylinder.
Answer:
B and D
Step-by-step explanation:
In the number 777.77 how does the value of 7 in the tenths place compare to the value of 7 in the hundredths place
Answer:
630
Step-by-step explanation:
the value of 7 in the tenths place is 70
the value of 7 in the hundredths place is 700
compare 700 and 70
So 700-70 = 630
Write and solve an absolute value inequality.
18. Students are guessing the number of jelly beans in a jar. Each student who guesses
within 15 of the correct amount will win a prize. The correct amount of jelly beans in the
jar is 389. Write and solve an absolute value inequality to represent this situation.
Express your solution as a compound inequality.
Compound inequalities are used to combine several inequalities
The solution as a compound inequality is [tex]374<x <404[/tex]
Assume the correct amount of jelly beans in the jar is x.
15 away from x can be represented as 15 - x or x - 15
The correct number of jelly beans is given as 389.
So, when the statement is represented as an absolute inequality, we have:
[tex]|x - 15| < 389[/tex]
Express as compound inequality:
[tex]389 - 15<x <389 + 15[/tex]
Evaluate like terms
[tex]374<x <404[/tex]
Hence, the solution as a compound inequality is [tex]374<x <404[/tex]
Read more about compound inequalities at:
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Un árbol proyecta una sombra de 24 pies al mismo tiempo que una vara de medir proyecta una sombra de 2 pies encuentre la altura del árbol