Answer:
0.207 = 20.7% probability that exactly 10 of these are from the second section
Step-by-step explanation:
The students are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
20 + 30 = 50 total students, which means that [tex]N = 50[/tex]
30 students from the second section, which means that [tex]k = 30[/tex]
First 15 graded projects, so sample of 15, which means that [tex]n = 15[/tex]
a. What is the probability that exactly 10 of these are from the second section
This is P(X = 10).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 10) = h(10,50,15,30) = \frac{C_{30,10}*C_{20,5}}{C_{50,15}} = 0.207[/tex]
0.207 = 20.7% probability that exactly 10 of these are from the second section
What is the y- intercept of the line * 3y=5x+12
A certain species of bird is in danger of becoming extinct. There were 1500 of these birds in 2010 and they are decreasing at an annual rate of 6.5%. If this trend continues, how many birds will be left in 2025?
A χ2 goodness-of-fit test where all assumptions were met yielded the chi-square test statistic χ2=1.92 and a corresponding p-value of 0.75. The researcher interpreted the p-value as a 0.75 probability of observing a test statistic of χ2=1.92 or larger. What is wrong with the researcher’s interpretation?
Answer:
The researcher did not state that the p-value is conditional on the null hypothesis being true.
Step-by-step explanation:
The p-value or the assumed value represent the probability in which the test results that are received would be atleast extreme in that the null hypothesis would be correct
Here the wrong thing would be that researcher would not stated the p value is in conditional form based on the null hypothesis being true
Therefore the correct option is A.
Help please I need this
Answer:
12
13
89
Step-by-step explanation:
ez pz
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Answer:
Step-by-step explanation:
Part A: (3,2)
connect all the points on the paper
Part B: 5 units. We know this since the x point for A is -2 and the point for B is 3. -2 to 3(absolute value of -2 plus 3)= 5
If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of
the same angle is b/a where a and b are not zero?
A. a/a
B. b/b
C. a/b
D. b/a
Your answer is c) a/b
You're welcome!
it a tets please help it due today
Answer:
a.
Step-by-step explanation:
the formula is y2-y1/ x2-x1, so it would be -14-19/ 0- (-4) which simplifies to -33/4
28.
Car A and car B are 120 km apart. If they move towards each other, they will meet in 1 hour. If they
move in the same direction, car A will catch up with car B in 5 hours. Find the speed of car A and
the speed of car B. (Assume that the speeds of the cars are constant.)
HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS
answer:
a. scarf costs today = $6
b. scarf costs 3 days from now = $3
step-by-step explanation:
1/2 off means you would multiply the amount by 1/2 then subtracta. original price of scarf: $12
12 X 1/2 = 6
12 - 6 = 6
— scarf costs today = $6
do the same thing but this time it is a different numberb. 12 X 3/4 = 9
12 - 9 = 3
— scarf costs 3 days from now = $3
What is x(3x+2)?Please give a reasonable explaination and answer.
Answer:
3x squared + 2x as you multiply everything in the bracket by what's on the outside of the bracket so it would be 3x multiply by x which equals 3x squared and 2 multiply x which equals 2x
Answer:
3x^2+2x
Step-by-step explanation:
multiply each of the two terms by x using the distributive property
The width of a rectangle is represented by 5 - 2y.
The length is twice as long as the width What is the
perimeter of the rectangle? Select all correct expressions
A45-27
3 65 - 27
C20 -
D30 - 12
Answer:
Perimeter of rectangle = 30 - 12y
Step-by-step explanation:
Given:
Width of rectangle = 5 - 2y
Length of rectangle = 2(width) = 2[5 - 2y] = 10 - 4y
Find:
Perimeter of rectangle
Computation:
Perimeter of rectangle = 2[l + b]
Perimeter of rectangle = 2 [10 - 4y + 5 - 2y]
Perimeter of rectangle = 2[15 - 6y]
Perimeter of rectangle = 30 - 12y
HELP PLS QUICK!MIGHT GIVE BRAINLIST IF TWO PEOPLE ANSWER!
Answer: A=bh to find the area of parallelograms.
Step-by-step explanation:
write the fraction 4/9 as an equivalent fraction with the given denominator 45
Answer:
answer is in the picture
6 or -11 ( < or >) which describes the relationship between the numbers?
Answer:
6 ( > ) -11
Step-by-step explanation:
6 is bigger than -11
A right prism has height 8 and triangular bases with sides of length 7, 8, and 9. What is the: Total surface area of the prism?
Answer:
the total surface area of the prism is 245.67
Step-by-step explanation:
Given;
height of the triangular prism, h = 8
length of the triangular bases, = 7, 8, and 9
The total surface area of the prism is calculated as;
T.S.A = ph + 2B
Where;
p is the perimeter of the base
B is area of the base
P = 7 + 8 + 9 = 24
Area of the base can be calculated using Hero's formula;
[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]
T.S.A = (24 x 8) + 2 x 26.833
T.S.A = 192 + 53.666
T.S.A = 245.67
Therefore, the total surface area of the prism is 245.67
Find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth.
Answer:
308 pounds
Step-by-step explanation:
2.2 pounds /kg
2.2 x 140 = 308 pounds
Find the perimeter of the following shapes
3.6 cm
3 cm
7.2 cm
Step-by-step explanation:
Perimeter = 3.6 + 3 + 702
= 708.6 cm
i need help ////////
Answer:
[tex]1\frac{1}{2}[/tex] miles = 7920 feet
2[tex]\frac{1}{2}[/tex] miles = 13200 feet
3[tex]\frac{1}{2}[/tex] miles = 18480 feet
4[tex]\frac{1}{2}[/tex] miles = 23760 feet
5[tex]\frac{1}{2}[/tex] miles = 29040 feet
6[tex]\frac{1}{2}[/tex] miles = 34320 feet
Explanation:
1 mile = 5280 feet
[tex]\frac{1}{2}[/tex] miles = 2640 feet
to convert miles into feet, multiply the whole numbers by 5280 and add 2640 to find your overall feet
2[tex]\frac{1}{2}[/tex] : 2 x 5280 + 2640 = 13200 ft
3[tex]\frac{1}{2}[/tex] : 3 x 5280 + 2640 = 18480 ft
4[tex]\frac{1}{2}[/tex] : 4 x 5280 + 2640 = 23760 ft
5[tex]\frac{1}{2}[/tex] : 5 x 5280 + 2640 = 29040 ft
6[tex]\frac{1}{2}[/tex] : 6 x 5280 + 2640 = 34320 ft
Patrick randomly selects a marble from a bag , records the color and then returns the marble to the bag . After 40 trials , he has recorded 14 red marbles 12 blue marbles yellow marbles and 4 green marbles Which of the following experimental probabilities is correct based on his record ?
Answer: A
Step-by-step explanation:
Dawn bought 12 grams of chocolate. She ate half of the chocolate. How many grams of chocolate did she eat
A line that includes the point (-4, 9) has a slope of 1/2. What is its equation in point-slope
form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answer:
Hi Jewel, leave a comment if you want more explanation of the following:
Step-by-step explanation:
point-slope formula: y-y1 = m(x-x1)
slope-intercept formula: y = mx + b
using point-slope: y-9 = 1/2(x-(-4))
= y-9 = 1/2(x + 4)
= y -9 = 1/2x +2
we've almost made it to slope-intercept from , notice, but the problem says to leave it in point-slope form, so there you go :) and leave a comment if you need more explanations :)
(Write a sentence equation ) There are 3 lambs .Each lamb has 4 legs. How many legs are there on 3 Lambs?
Answer:
Well its basically 3 x 4 = 12, so for every lamb add four legs until you get to three
Step-by-step explanation:
Simplify: 17b + 82c + 90 + e - 18 - 10c - b
The measure of an angle is 149.5°. What is the measure of its supplementary angle?
Answer:
30.5°
Step-by-step explanation:
Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.
Measure of its supplementary angle = 180° - 149.5°
= 30.5°
Two trains on opposite tracks leave the same station at the same
time. One train travels at an average speed of 80 kilometers per
hour and the other travels at an average speed of 70 kilometers
per hour. How long after they leave the station will they be 50
km apart?
Answer:
20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time.
Step-by-step explanation:
One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.
A piece of machinery depreciates 6000 the first year 5500 the second year and 5000 the third year. If the rate of depreciation is constant what is the amount of depreciation of the piece of the machinery in the sixth year?
Answer:
3500
hope this helps
A cone in the diagram below has a radius (r) of 10mm and its height (h) is 24mm calculate the length of the slant height
Answer:
26mm
Step-by-step explanation:
by the Pythagorean theorem,
[tex]x^2=10^2+24^2\\x^2=676\\x=26[/tex]
i need help can you explain how to do it
Answer:
-7.
Step-by-step explanation:
(x²+t²x+t³+8)`=(x²)`+(t²x)`+(t³)`+(8)`=2x*x'+2t*x+t²*x'+3t²;
[tex]x'=\frac{2tx+3t^2}{t^2+2x};[/tex]
[tex]x'(-2;-4)=\frac{2*2*4+3*4}{4-8}=-7.[/tex]
Question 3:
Hank is throwing a party. The party costs $20 per person. Answer the questions below to describe the relationship between the cost of the party and the number of friends attending.
The independent variable is .
The dependent variable is .
The equation that can be used to represent this relationship:
If 50 people attended, what would be Hank's cost?
(Only input numeric values, no commas, decimal points, or symbols.)
Answer:
$1000
Step-by-step explanation:
It would be $1000 in total of all the people attending the party. This is because, you need to multiply, 50 and 20! The answer will be 1000.
Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?
$12
$10.50
$10
$8.50