Answer:
for every 1mm is equal to 20 miles (it is a scale)
Step-by-step explanation:
On the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.) P(n) = (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.) P(1) = 0.740 P(2) = 0.192 P(3) = 0.050 (c) Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3). (Enter a number. Round your answer to three decimal places.) 0.018 (d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Probability distribution of a random variable n :
P(n) = (1 - p)^(n-1) * p
p = 0.74
P(n) = (1 - 0.74)^(n-1) * 0.74
P(n) = (0.74)0.26^n-1
Compute the probabilities that n = 1, n = 2, and n = 3.
n = 1
P(1) = (0.74)0.26^1-1
= 0.74 * 0.26^0
= 0.74
n = 2
P(2) = (0.74)0.26^2-1
= 0.74 * 0.26^1
= 0.74 * 0.26
= 0.192
n = 3
P(3) = (0.74)0.26^3-1
= 0.74 * 0.26^2
= 0.74 * 0.0676
= 0.050
Compute the probability that n ≥ 4.
P(n ≥ 4) = 1 - p(n ≤ 3)
p(n ≤ 3) ; n = 1, n = 2, n = 3
p(n = 1) = 0.74
p(n = 2) = 0.192
p(n = 3) = 0.050
P(n ≥ 4) = 1 - (0.74 + 0.192 + 0.050)
P(n ≥ 4) = 1 - 0.982
P(n ≥ 4) = 0.018
(d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry?
Expected number of residents (μ) :
μ = (1 - p) / p
p = 0.74
μ = (1 - 0.74) / 0.74
μ = 0.26 / 0.74
μ = 0.35
find the unkown angle of a triangle
Step-by-step explanation:
Find
Triangle A(because there are two triangles)
take 28°+39°=67°
an angle is 180° in total so you take
180°-67°=113°
Angle x = 113°
Angle y = 67°
Triangle B
64°+67° = 131°
180°-131°=49°
Angle z =49°
Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms
Answer:
5.91 kilograms
591,000 centigrams
Step-by-step explanation:
These two are WRONG:
59,100 kilograms
59.1 centigrams
According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/
Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet
9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9
a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)
Test statistic
b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.
c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes
Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9
Answer:
Explained below.
Step-by-step explanation:
A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
(a)
The hypothesis can be defined as follows:
H₀: μ₁ - μ₂ ≤ 0 vs. Hₐ: μ₁ - μ₂ > 0
(b-1)
Use Excel to perform the t test for independent samples.
The output is attached below.
The test statistic value is, t = 7.58.
(b-2)
The degrees of freedom is, df = 58.
The critical value is, t₅₈ = 1.672.
The rejection region is:
Rejected H₀ if t > t₅₈ = 1.672.
(c)
Decision:
t = 7.58 > t₅₈ = 1.672
The null hypothesis will be rejected at 5% level of significance.
Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.
The correct option is Yes.
Help ! I’ll mark you brainly
Answer:
There you go :)
Hope this helped you
<3
Red
Find each percent increase. Round to the nearest percent
Answer:
1. 15 to 21 = 21 - 15 / 15 = 0.4*100% = 40%
2. 12 teachers to 48 teachers = 48 - 12/48 = 0.75 * 100% = 75%
3. 80 pencil to 120 pencil = 120 - 80 / 80 = 0.5*100% = 50%
4. 40 cans to 70 cans = 70 - 40 / 70 = 0.43 * 100% = 43%
a. -3x2 + 4x +5 for x =-2
Answer:
9
Step-by-step explanation:
Ameera had $10.50 with her. She bought some pencils costing $2.50 each and some erasers costing $1.00 each. Could she buy 4 pencils and 3 erasers with the money she had?
Answer:
Step-by-step explanation:
Pls help me
8th grade math
Answer:
y-intercept = 7
Step-by-step explanation:
y intercept is where the line meets with the y axis which is the vertical axis.
hope this helped!
1x2x3x4x5 will make brainliest
Answer:
120
Step-by-step explanation:
I wrote down the equation on paper and solved it
The product of the given numbers is 120.
The given expression is 1×2×3×4×5.
Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Here, 1×2×3×4×5 = 120
Therefore, the product of the given numbers is 120.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
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Space space space space
Answer:
Step-by-step explanation:
Comma comma comma comma
Answer:
space is scape
Step-by-step explanation:
Simplify 5^2•5^4
A. 5•8
B. 5^8
C. 5^2
D. 5^6
9.215
627
How to work the problem
Answer:
multiply
Step-by-step explanation:
what is 4/9 times what equals 12
Step-by-step explanation:
4/9A = 12
A = 12×9/4
= 27
......
598x 10 reminder of 3
Answer:
you wrote that a bit wrong
Step-by-step explanation:
Luisa wants to use place-value blocks to show 367+215. How many tens blocks will she need to show the sum by regrouping?
Answer:
She will need 58 tens blocks but there is a leftover amount of 2 so that would be 2 ones as well.
Step-by-step explanation:
357+215=582/10=58.2 (2 is the remander and thats how I got 2 ones as well)
PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!
WILL GIVE BRAINLIEST!!!
Answer:
a) y = (x+2)/3
b) 5
Step-by-step explanation:
f^-1(x) means "f inverse of x". To find the inverse, we simply:
a ) f(x) = 3x -2
y = 3x - 2 --> because f(x) is the same thing as y
x = 3y - 2 --> to find the inverse, we simply just switch x and y
x + 2 = 3y
y = (x+2)/3
b) f^-1(13)
f^-1(13) = [((13) + 2)/3]
f^-1(13) = (15)/3
f^-1(13) = 5
What is the correct answer on identify the error(s) in the proposed proof?
Answer:
correct i think
Step-by-step explanation:
yesterday,it's was negative 7 degrees Fahrenheit outside today, it is 14 degrees Fahrenheit warmer. Click on today's temperature
Answer:
It is 7 degrees.
Step-by-step explanation:
Hope this helps! Add -7 + 14= 7
6. When you barter, you must ________
in order to buy something.
Answer:
When you barter, you must trade it for something else in order to buy something.
Step-by-step explanation:
When you barter, you must exchange in order to buy something.
What is barter?Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.
Given: A person barters
Therefore he must trade it for something else (exchange) in order to buy something.
Hence, When you barter, you must exchange in order to buy something.
Learn more about barter here:
https://brainly.com/question/14903216
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What is the coefficient of 5a^2-7
Answer: 5
Step-by-step explanation:
A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.
Ms.banks walks at about 3 feet per second how many miles per day could she travel is she walked without taking a break?
Answer:
About 49.09 miles a day .
Step-by-step explanation:
Help please posted this twice immediate help right now
Answer:
(-3, 4)
Step-by-step explanation:
Given equation of the line is,
y - 4 = -2(x + 3)
Any point (x, y) lying on this line will satisfy the equation by substituting x and y values.
If a point (-3, a) lies on this line,
By substituting x and y coordinates in the equation,
a - 4 = -2(-3 + 3)
a - 4 = -2(0)
a - 4 = 0
a - 4 + 4 = 0 + 4
a = 4
Therefore, ordered pair shown in the picture will be,
(-3, 4)
Answer: (-3, 4)
Step-by-step explanation:
I’m confused can someone help?!
Answer:
C: up two over 1
What is the mean score what is the median of the score brookewood medical center
Step-by-step explanation:
The mean of a set a score is simply the average score.
To find the mean, simply sum the individual scores and divide by the total number of scores;
Mean of a set of score = [tex]\frac{Total scores}{Number of scores}[/tex]
Another way to find the mean is using:
Mean = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]
Multiply the frequency of each score with the score and divide by the sum of all of the frequency.
2. The median is the middle score;
Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.
If there are two numbers find their sum and divide by 2.
A triangle is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does NOT preserve the length of the sides of the triangle?
A
(x, y) --> (-x + 9, y - 8)
B
(x, y) --> (-x + 9, -y - 8)
C
(x, y) --> (x + 4, y + 6)
D
(x, y) --> (5x - 4, y + 2)
Answer:
Step-by-step explanation:
D
What is the square root of 36?
A.4
B.6
C.8
D.10
Answer:
B 6
Step-by-step explanation:
because 6x6 is 36
Answer:
6
Step-by-step explanation:
6×6=36 bdhdgsjsbdbd
What must be true about the average rate of change between any two points on the graph of an increasing function?
Answer:
If a function is increasing, the average rate of change between any 2 points must be positive.
If we have an increasing function, the average rate of change between any two points must always be positive.
What must be true about the average rate of change?
For an increasing function f(x), we have that if:
b > a
Then:
f(b) > f(a).
Now, we define the average rate of change on an interval (a, b) as:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, because:
b > a
f(b) > f(a)
Then:
b - a > 0
f(b) - f(a) > 0.
So both numerator and denominator are positive, which implies that the quotient must be positive.
Then, if we have an increasing function, the average rate of change between any two points must always be positive.
If you want to learn more about average rate of change, you can read:
https://brainly.com/question/8728504
Four years ago, you started a job with an annual salary of $40,000. At the end of each year on the job, you received a raise of 4.8%. The table shows your salary after each of your four annual raises.
Number of Years
Annual Salary
1
$41,920.00
2
$43,932.16
3
$46,040.90
4
$48,250.87
Answer:
the third one
Step-by-step explanation:
If n // m, which of the following statements are true? Select all that apply.
B
2.
3
200
А
60°
A m2 2 = 60°
m
B. m23 = 100
Cm2 2 + m 24 = 80°
D. m2 2 + m23 = 80°
Answer:
A is answer
Step-by-step explanation:
please follow me
Answer:
B and C
Step-by-step explanation:
Since m and n are parallel, we can call the two lines extending from the point B transversals.
[tex]m\angle{1} = 60^\circ[/tex] because they are vertical angles
[tex]m\angle{2} = 20^\circ[/tex] from the corresponding angles theorem.
[tex]m\angle{4} = 60^\circ[/tex] from the corresponding angles theorem.
[tex]m\angle{3} = 100^\circ[/tex] because angle 2 and 4 sum to 80, and [tex]m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ[/tex] because it is a straight angle.
From this, we can see which ones are true.
A is false because angle 2 is 20 degrees.
B is true because angle 3 is 100 degrees.
C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.
D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.
Therefore, only B and C are true.