Answer:
Answered and explained below
Step-by-step explanation:
A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125
Sample size; n = 150
Formula for mean is;
μ = np
μ = 150 × 0.125
μ = 18.75
Formula for standard deviation is;
σ = √(np(1 - p))
σ = √(150 × 0.125(1 - 0.125))
σ = √16.40625
σ = 4.05
B) usually, when np ≥ 10 , we make use of normal distribution.
I'm this case, it is 18.75 which is greater than 10.
Thus,we can use a normal model to approximate the distribution.
C) we are told that he found the trait in 22 of the frogs.
Thus;
Proportion is now; 22/150 = 0.1467
This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.
A rectangular yard is X feet wide. The yard is 4 feet longer than it is wide. The perimeter P of yard is given by the equation P= 4x + 8. If the perimeter of the yard is 84 feet how long is the yard?
A. 19 feet
B. 23 feet
C. 24 feet
D. 28 feet
Given:
Width of the rectangular yard = x feet
Length of the rectangular yard = x+4 feet
Perimeter of the rectangular yard is:
[tex]P=4x+8[/tex]
Perimeter of the yard = 84 feet
To find:
The length of the rectangular yard.
Solution:
Perimeter of the yard is 84 feet.
[tex]4x+8=84[/tex]
[tex]4x=84-8[/tex]
[tex]4x=76[/tex]
Divide both sides by 4.
[tex]x=\dfrac{76}{4}[/tex]
[tex]x=19[/tex]
So, the width of the rectangular yard is 19 feet.
Length = [tex]19+4[/tex]
Length = [tex]23[/tex]
The length of the rectangular field is 23 feet.
Therefore, the correct option is B.
A parallelogram is shown below:
A parallelogram ABCD is shown with DC equal to 9 feet and the perpendicular distance between AB and DC equal to 8 over 9 foot.
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answer:
a). Area of the parallelogram = 8 cm²
b). Area of both the triangles = 4 cm²
Step-by-step explanation:
a). Area of the given parallelogram ABCD = Base × Height
= DC × (Vertical distance between
AB and DC)
= 9 × [tex]\frac{8}{9}[/tex]
= 8 ft²
b). If we decompose this parallelogram into two triangles ΔABC and ADC by a diagonal AC,
Area of both the triangles will be equal.
(Since, diagonal of a parallelogram divides the parallelogram into two equal triangles)
Therefore, area of ΔABC = Area of ΔADC = 4 ft²
help please
thank you for your help
Answer:
3(7+x²)x-2
3x(7+x²)-2
21x+3x³-2
If Q1=5 and Q3=15, what is the Interquartile range (IQR) and what does it tell you about the data?
find-5/6÷(-1/2) write the answer in the lowest terms.
Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is /-0.0001
Answer:
0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
Eight percent of all college graduates hired by companies stay with the same company for more than five years.
This means that [tex]p = 0.08[/tex]
Sample of 11 college graduates:
This means that [tex]n = 11[/tex]
The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001
The tolerance means that the answer is rounded to four decimal places.
The probability is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662[/tex]
0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years
does anyone know what
6 divided by 31.2
Jamal records the number of minutes he practice his trumpet each day what is the mean (average) number of minutes two more practice for the week shown in the chart below
Sun 20 | Mon 15 | Tues 20 | Wed 45 | Thur 20 | Fri 30
A. 20 min
B. 25 min
C. 35 min
D. 45 min
Which statement does not describe the graph of f(x) = -3
3 (*)*-+2?
A As x→ 00, f(x) +0.
B As x→-0, f(x) →-0.
© The y-intercept is (0, -13).
D The asymptote is y = 2
In ΔVWX, w = 770 inches, x = 520 inches and ∠V=81°. Find the area of ΔVWX, to the nearest square inch.
Answer: 197735
Step-by-step explanation: deltamath
Answer:
197735
Step-by-step explanation:
see attached image
istribute and simplify these radicals square root 12 times (-1+ square root 5)
Here's link to the answer:
tinyurl.com/wpazsebu
determine the x-intercept of the graph
I need these three and they shouldn’t be too hard.
Answer:
i dont know
Step-by-step explanation:
sorry my man my school is still just going into these kind of questions ):
three consecutive even integers add up to -6 what are they?
PLEASE PLEASE HELP I GIVE BRAINLIEST AND ALOT OF POINTS
Answer:
I think this is the answer
Answer:
0,-2,-4
Step-by-step explanation:
1st Integer = x-2
2nd Integer = x
3rd Integer = x+2
(x-2) + x + (x+2) = -6
x+x+x=-6
3x=-6
x=-2
Hope this helps!
I need some help thanks!
-
Answer:
9 inches
Step-by-step explanation:
Let's call the width x and length 2x
The perimeter is calculated by adding all side lengths
so x + 2x + x + 2x = 54 inches add like terms
6x = 54 divide both sides by 6
x = 9 inches that's the answer.
25 liters of water are pumped into a dam in 20 seconds
how much water will be pumped in within 3 minutes??? help please
1 minute = 60 seconds.
3 minutes x 60 seconds = 180 seconds.
180 seconds / 20 = 9
25 liters x 9 = 225
Total water in 3 minutes = 225 liters
Answer:
225 liters
Step-by-step explanation:
There is 25 liters in 20 seconds, so you keep adding 20 seconds while adding 25 liters each time. 180 = 3 minutes
25 20
50 40
75 60
100 80
125 100
150 120
175 140
200 160
225 180
The variable y varies directly as x. When x = 20, y = 12. What is the value of y when x = 15?
A. 7
B. 9
C. 18
D. 25
The value of y when x = 15 is 9
VariationIf the variable y varies directly as x, this is expressed as;
y = kx
where k is the constant of proportionality
If x = 20 when y = 12, then;
k = y/x
k = 12/20
If x = 15, then the value of y is;
y = 12/20*15
y = 9
Hence the value of y when x = 15 is 9
Learn more on variation here: https://brainly.com/question/6499629
#SPJ1
A boy standing on a vertical cliff, observed two buoys in line with him, whose angles of depression are 19 degrees and 26 degrees. If the distance between the buoys is 222m, find the height of the cliff
what is 5-(-12) equal to
Answer:
The answer is 60 because 5 times positive 12 is 60
Answer:
60
Step-by-step explanation:
There are 6 red marbles, 8 blue marbles, and 11 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?
A) 24%
B) 32%
C) 56%
D) 10%
Answer:Total marbles = 6 + 8 + 11 = 25
Total red or blue marbles = 6 + 8 = 14
P(either a red or blue) = 14/25
Change it to percentage = 14/25 x 100 = 56%
Answer: 56%
Step-by-step explanation:
Luis has $60 in his savings account. He earns $12 per hour at his job. Luis plans to buy a bicycle for $240.
If he uses his savings, how many hours does Luis need to work in order to have exactly $240 to buy the bicycle?
Answer:
15 hours
Step-by-step explanation:
write any odd number and find their sum product
Answer:
3?
Step-by-step explanation:
. Joe worked on his science project 4 2/3 hours on Saturday, 3.5 hours on Monday, and 3 hours on Tuesday. What was the total number of hours he worked on his science project?
L
1) Factor the rational function.
22-4
22-50-14
X intercept
Answer: i dont know
Step-by-step explanation:
let: f(x)=x+1 and g(x)=x^2-2
find: f(x)•g(x)
Answer: x3+x2−2x−2
Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .
Brainliest or a thank you please! have a great day/night
Helpppppppppppppppp
Without doing calculations choose the equation that you can NOT use to answer the question. What number is 55% of 80?
Answer: See explanation
Step-by-step explanation:
You didn't specify the equations but let me solve the question.
55% of 80.
The above statement simply means that you need to multiply 55% by 80. This will be:
= 55% of 80
= 55/100 × 80
= 0.55 × 80
= 44
Therefore, 55% of 80 is 44
Based on your question, any other equation that doesn't give 44 as an answer cannot be used to answer the question.
5 members or 20% of the math league did not come to the meet. how many total members are there
5 = (20%) x (total)
5 = (0.20) x (total)
Divide each side by (0.20):
Total = (5 / 0.20)
Total = 25
Factorize 25 – x² =
m2
Answer:
(5 + x)(5 - x)
Step-by-step explanation:
[tex]25 - {x}^{2} \\ \\ = {5}^{2} - {x}^{2} \\ \\ = (5 + x)(5 - x)[/tex]
POSSIBLE POINTS: 15
A can of soda contains 0.355 liters of soda. How many milliliters of soda are in one can?