Answer:
( x − a ) 2 + ( y − b ) 2 = r 2
In a population of mendel's garden peas, the frequency of dominant yellow-flowered plants is 50%. The population is in hardy-weinberg equilibrium. What is the frequency of the recessive allele in the population?.
Answer:
the frequency of the recessive allele in the population is 0.5 or 50%.
Step-by-step explanation:
In a population in Hardy-Weinberg equilibrium, the frequency of alleles remains constant from generation to generation. According to the Hardy-Weinberg law, if p is the frequency of the dominant allele and q is the frequency of the recessive allele, then:
p + q = 1
and
p^2 + 2pq + q^2 = 1
where p^2 represents the frequency of homozygous dominant individuals, 2pq represents the frequency of heterozygous individuals, and q^2 represents the frequency of homozygous recessive individuals.
Given that the frequency of dominant yellow-flowered plants is 50%, or 0.5, we can assume that p = 0.5. Substituting into the first equation, we get:
0.5 + q = 1
Solving for q, we get:
q = 1 - 0.5
q = 0.5
Therefore, the frequency of the recessive allele in the population is 0.5 or 50%.
45 cm
36 cm
38 cm
= the volume
bonjours
oui sa est égale au volume
Super Scary Circles Test #10
This figure is NOT drawn to scale.
a = 90°
b = 12°
C =
d =
e=
f=
g=
h=
i =
j=
Can anyone pls help me with this . We are solving for the angles and I need this done tmr .
The measures of the angles obtained using circle theorems are presented as follows;
a = 90°, b = 12°, c = 64°, d = 54°, e = 54°, f = 48°, g = 66°, h = 32°, i = 36°, and j = 20°
What are circle theorems?Circle theorems are theorems that indicates the relationships between angles, sector, chords, and tangent in a circle.
Please find the possible drawing in the question created with MS Word
a + a = 2·a = 180° (Linear pair angles)
a = 180°/2 = 90°
a = 90°
The right triangle with the acute angle angle of 78° indicates;
b = 90° - 78° = 12°
b = 12°
The angle at the center theorem indicates that we get;
The base angle of the large isosceles triangle = 2 × 32° = 64°
∠c is a base angle of the large triangle, therefore;
c = 64°
2·c + d = 180°
d = 180° - 2 × 48° = 54°
e = d = 54°
e = 54°
The angle at the circumference of the circle with angle ∠g and and ∠f = 4·b
Angle at the circumference = 4 × 12° = 48° = ∠f
f = 48°
Angle ∠g is equivalent to a base angle of the isosceles triangle, therefore;
∠g = (180° - 48°)/2 = 66°
g = 66°
Angle at the vertex of the triangle with angle h is equivalent to the base angle of the large triangle, therefore;
2·h = 64°
h = 64°/2 = 32°
h = 32°
Angle at the center = 2 × (180° - 2 × 48°) = 168°
5b + 2f + i + 168° = 360° (Angle sum property of a quadrilateral)
i = 360° - (5b + 2f + i + 168)
i = (360 - (5×12 + 2×48 + 168) = 36
i = 36
5b + 2h + i + j = 180
j = 180 - (5b + 2h + i)
j = 180 - (5 × 12 + 2 × 32 + 36) = 20°
j = 20°
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to make coldrink 1 must mix concentrate with water in a ratio of 1:3
if I have 400ml of concentrate how much water must I use?
Answer:
1200ml or 1.2l of water
Step-by-step explanation:
concentrate:water
1:3
400:x
3×400=1200
400:1200
1200ml or 1.2l of water
What is $54.28 rounded to the nearest 10 dollars?
$54.28 rounded to the nearest 10 dollars is $50.00
A man walks for 40 minutes at 60km/h. he then travels for two hrs in a minibus at 80 km/h. Finally he travel by but for an one hour at 60km/h - Find his speed for the whole journey?
Answer: 71km/h
Step-by-step explanation:
He traveled 260km according to what you gave and 100 km using 60 km/h and 160km using 80km/h Also is this man has rocket since he walked 60km/h. His whole journey take 3h40m. Just take 260 divide by 3h40m so you got the final answer about 71km/h
tommmy earns $140 in interest after 5 years on a pricipal of $400 jane earned $132 after 4 years on principal of $600 use the intrest rate to justify which bank would you rather use tommys or janes
Comparing the interest rates of Jane and Tommy, we can say that Tommy's bank is better because he earns more amount of money for less principal amount.
What is meant by the interest rate?The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.
The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
Given,
Interest earned by Tommy SI = $140
Time t = 5 years
Principal amount P = $400
Interest earned by Jane SI = $132
Time t = 4 years
Principal amount P = $600
Simple interest SI = (P × r × t)/100
where r = interest rate
For Tommy,
140 = ( 400 × r × 5) /100
r = 7%
For Jane,
132 = ( 600 × r × 4) / 100
r = 5.5%
Therefore comparing the interest rates of Jane and Tommy, we can say that Tommy's bank is better because he earns more amount of money for the less principal amount.
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Suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. The sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. Both sales volume and advertising expenditures are in thousands of dollars.
Estimated Sales Volume=45.15+0.54(Advertising Expenditures)
If the company has a target sales volume of $125,000
, how much should the sales manager allocate for advertising in the budget? Round your answer to the nearest dollar.
Answer:
We can use the given equation to solve for the advertising expenditures needed to achieve the target sales volume of $125,000:
125 = 45.15 + 0.54x
where x is the advertising expenditures in thousands of dollars.
Simplifying the equation:
0.54x = 125 - 45.15
0.54x = 79.85
x = 79.85 / 0.54
x ≈ 147.69
Therefore, the sales manager should allocate about $147,690 for advertising in the budget to achieve the target sales volume of $125,000.
Step-by-step explanation:
- The water level in a retention pond started at 5 ft (60 in.) and decreased at a rate of 2 in./day during a 14-day drought. A tropical depression moved through at the beginning of the 15th day and produced rain at an average rate of 2.5 in./day for 5 days. Write a piecewise-defined function to model the water level L (x) (in inches) as a function of the number of days x since the beginning of the drought.
The piecewise function that models model the water level L (x) (in inches) as a function of the number of days x since the beginning of the drought is given as follows:
L(x) = 60 - 2x, 0 ≤ x ≤ 14.L(x) = 30 + 5x, 15 ≤ x ≤ 19.How to define a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which;
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.A piecewise function is a function with different definitions, based on the input of the function.
For the first 14 days, the parameters are given as follows:
b = 60 -> water level during day 0.m = -2 -> each day the amount decreased by 2 in.Hence:
L(x) = 60 - 2x, 0 ≤ x ≤ 14.
For the last 5 days, the parameters are obtained as follows:
b = 60 - 2(15) = 30.m = 5, as each day the amount increased by 2 in.Hence:
L(x) = 30 + 5x, 15 ≤ x ≤ 19.
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can someone tell me the answers to b. and c.
1. The Range of Elevation for Long beach is 367 feet.
2. The Range of Elevation for New Orleans is 33 feet.
3. New Orleans have the average of 2 feet below sea.
What is Range?In statistics, the range is the difference between the highest and lowest values for a given data collection.
Given:
1. The Range of Elevation for Long beach
= Highest - Lowest
= 360 - (-7)
= 360 + 7
= 367 feet
2. The Range of Elevation for New Orleans
= Highest - Lowest
= 25- (-8)
= 25+ 8
= 33 feet
3. New Orleans have the average of 2 feet below sea.
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A community theater held auditions for their summer musical. There were 42 performers accepted in the cast. That was 60% of all those who auditioned. How many people auditioned for the musical?
Answer:
64 people
Step-by-step explanation:
I'm not so sure but I think its right.
Here's how I figured it out:
60x2=120
42x2=84
120-20=100%
84-20=64
1. Amy wants to her ice cream cone filled exactly to the top. The radius of the cone is 2 in. and the height is 6 in. How much ice cream will it take to fill the cone?
2. Jack is going to fill his beach ball with water. The radius of the ball is 24 in. How much water will it take to fill the beach ball?
3. Mary is sending her sister as summer camp a square box filled with tiny candies. The side of the box measures 6 in. How much candy will it take to fill the box?
4. Jim and Mary are competing in a math contest. They have to calculate how much it takes to completely fill a canister with a radius of 4 in. and a height of 5 in. with flour. How much flour will it take to fill the canister?
5. Aunt Lillian needs to fill a shoebox with packing material. The box measured 9 in by 5 in by 5 in. How much packing material does she need to fill the box?
(It doesn’t matter what the size, the formula stays the same….)\
PLEEAAASEEE HELLLP
1. The volume of a cone is 8π cubic inches.
2. The volume of a sphere is 8π cubic inches.
3. The volume of a cube is 8π cubic inches.
4. The volume of a cylinder is 8π cubic inches.
5. The volume of a rectangular prism is 8π cubic inches.
What is volume?The volume of a thing is the area that it occupies in three dimensions. Space is what a thing occupies, to put it simply.
1. The volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height. Substituting the given values, we get V = (1/3)π(2²)(6) = (4/3)π(6) = 8π cubic inches.
2. The volume of a sphere is given by V = (4/3)πr³, where r is the radius. Substituting the given value, we get V = (4/3)π(24³) = 18432π cubic inches.
3. The volume of a cube is given by V = s³, where s is the side length. Substituting the given value, we get V = 6³ = 216 cubic inches.
4. The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. Substituting the given values, we get V = π(4²)(5) = 80π cubic inches.
5. The volume of a rectangular prism is given by V = lwh, where l, w, and h are the length, width, and height, respectively. Substituting the given values, we get V = (9)(5)(5) = 225 cubic inches.
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The equation y = 19(1.057) represents book sales in billions of dollars since 1990. Let x represent the number of years. Let x = 0 represent book sales in 1990. What were the total sales, in billions of dollars, in 1990? O 18 19 O 20 O 21 B 7 8. 9 10 Next
In 1990, 19 billion dollars worth of books were sold.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is [tex]y = y_0e^{(kt)}.[/tex]
The formula for exponential decay is [tex]y = y_0e^{(-kt)}.[/tex]
We know a function is called an exponential function when the independent variable is the exponent.
An example of an exponential function is, aˣ.
Given, The equation y = 19(1.057) represents book sales in billions of dollars since 1990.
The equation is, y = 19(1.057)ˣ, Where x = the number of years.
Therefore, At x = 0 or in 1990,
y = 19(1.057)⁰.
y = 19(1).
y = 19 billion dollars
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Daniel already snacked on a almonds. Then he snacked on another 8 almonds. Write an expression that shows how many almonds Daniel snacked on in all.
a + 8. This expression represents the total number of almonds that Daniel snacked on in all.
What is the difference between expression and equation?
An expression is a mathematical phrase that contains numbers, variables, and operations. It can be evaluated to produce a single numerical value or another expression. Expressions do not contain an equal sign (=), and they do not represent a statement that is either true or false.
An equation, on the other hand, is a mathematical statement that shows the equality between two expressions. It contains an equal sign (=) and represents a statement that is either true or false. Equations typically contain variables that can take on different values, and they can be used to solve for an unknown variable by manipulating the equation using algebraic operations.
To summarize, expressions are mathematical phrases that do not contain an equal sign and can be evaluated to produce a value, while equations are mathematical statements that do contain an equal sign and represent a relationship between two expressions that is either true or false.
We can use addition to represent the total number of almonds that Daniel snacked on. If Daniel snacked on an initial amount of almonds, say "a", and then snacked on an additional 8 almonds, we can write the expression:
a + 8
This expression represents the total number of almonds that Daniel snacked on in all.
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Which step is incorrect?
Answer:
c step 3
Step-by-step explanation:
from the correct x^(2/5) do we suddenly get to
x^(5/2).
1/x³ = x^(-3) is a correct identity, and using it has no impact on x^(2/5). that should still stay x^(2/5).
the correct step 3 is then
x^(2/5)x^(-3)
step 4 is then
x^(2/5 - 3) = x^(2/5 - 15/5) = x^(-13)/5
which values in the set {1,2,3,4,5} are a solution to 4x - 2 < 15?
please give me an answer guys
Answer:
Values from the set = 1, 2, 3, 4.
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The inequation is,
→ 4x - 2 < 15
Then the value of x will be,
→ 4x - 2 < 15
→ 4x < 15 + 2
→ 4x < 17
→ x < 17/4
→ [ x < 4.25 ]
Hence, the answer is x < 4.25.
The ice cream above is going to melt.
When it does, will it fit in the cone or
will it overflow? Explain.
The spherical ice cream scoop and the
right cone have a radius of 3 cm.
The height of the cone is 7 cm.
Show all your work.
Answer:
well...it depends how much ice cream ia in the cone...if its 3 or more it Will definently overflow.
The mean amount of money spent on lunch per week for a sample of 273
students is $22
. If the margin of error for the population mean with a 98%
confidence interval is 2
, construct a 98%
confidence interval for the mean amount of money spent on lunch per week for all students.
The true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.
Define the term "margin of error"?Margin of error is a statistical term that refers to the amount of random sampling error that is present in a survey or statistical estimate. In other words, it is the amount of uncertainty or variation that is inherent in any statistical measurement or survey result.
To construct a 98% confidence interval for the mean amount of money spent on lunch per week for all students, we need to use the formula:
Confidence interval = sample mean ± (z-score)(standard error)
Here, the sample mean is $22, the margin of error is 2, and the sample size is 273. To find the z-score for a 98% confidence interval, we can use a standard normal distribution table or calculator. The z-score for a 98% confidence interval is approximately 2.33.
To calculate the standard error, we need to use the formula:
[tex]Standard Error = \frac{standard Deviation}{\sqrt{sample Size} }[/tex]
Since the standard deviation is not given, we can estimate it using the sample standard deviation. Let's assume that the sample standard deviation is $8. The Standard Error calculated as:
[tex]Standard Error = \frac{8}{\sqrt{273} }[/tex] ≈ 0.48
Substituting the values into the formula for the confidence interval, we get:
Confidence interval = $22 ± 2.33(0.48) ≈ $20.12 to $23.88
Therefore, we can be 98% confident that the true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.
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Select the equation that is true. A. 2 2 3 × 4 = 8 2 3 B. 2 2 3 × 5 8 = 1 2 3 C. 2 2 3 × 2 3 = 2 4 9 D. 2 2 3 × 4 3 5 = 8 6 15 its fractions im lazy thats all
The equation 2 2/3 × 2/3 = 2 4/9 is true.
What are fractions?A fraction represents a part of a whole or a ratio between two quantities. It is written as a/b, where "a" is the numerator and "b" is the denominator. The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole or the ratio.
The equation that is true is:
C. 2 2/3 × 2/3 = 2 4/9
To solve the problem, we can convert the mixed numbers to improper fractions, and then multiply:
2 2/3 = 8/3
2/3 = 2/3
8/3 × 2/3 = 16/9
We can then convert the improper fraction back to a mixed number:
16/9 = 1 7/9
Therefore, the equation 2 2/3 × 2/3 = 2 4/9 is true.
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pleas find the area of the figure.
Answer:
41
Step-by-step explanation:
we can get this answer because:
3(3)=9
4(8)=32
and u add 32 and 9 together and get 41
Elsa menabung uang di bank sebesar Rp.2.000.000,00. Apabila ia mendapat bunga 0,5% perbulan, berapa jumlah uang tabungan di bank selama 10 bulan?
Answer:
Jumlah uang tabungan Elsa setiap bulan dapat dihitung dengan rumus:
A = P(1 + r)^n
dimana:
A = jumlah uang tabungan akhir
P = jumlah uang tabungan awal
r = tingkat bunga per bulan (dalam desimal)
n = jumlah bulan
Dalam kasus ini, P = Rp.2.000.000,00, r = 0,5% atau 0,005 per bulan, dan n = 10 bulan.
Maka,
A = 2.000.000(1 + 0,005)^10
= 2.000.000(1,005)^10
= 2.000.000(1,0512)
= Rp.2.102.400,00
Jadi, jumlah uang tabungan Elsa di bank setelah 10 bulan adalah Rp.2.102.400,00.
Step-by-step explanation:
Can someone answer this just read the picture? Right answers only please!
Answer:
8,192
Step-by-step explanation:
20/100*80 =16 apply tjis in every step as they asked 4 times
The quadrants go in counter-clockwise position.
O True
O False
Answer:true
Step-by-step explanation:
A field is in the shape of a square. The length of the field is 5x³y5. What is
the area of the field terms of x and y?
Answer: The area of a square is given by the formula A = s^2, where s is the length of a side of the square.
In this case, the length of the field is 5x³y5, so each side of the square is also 5x³y5. Therefore, the area of the square can be found as:
A = (5x³y5)^2
A = 25x^6y^10
So the area of the field in terms of x and y is 25x^6y^10.
Step-by-step explanation:
How can i simplify 1½-⅓÷⅔+1
Answer:
2
Step-by-step explanation:
you first follow the BODMAS law then you divide 1/3÷2/3 It will give you 1/2 so you 3/2-1/2 +1 it will give you 2
8.) SAT CORNER: Gatsby leaves his dock and takes his
motorboat due east for 0.5 miles to pick up Daisy. Then,
they motor 1.2 miles north to a private island in the
middle of the sound. What is the straight-line distance,
in miles, from the island to Gatsby's dock?
The distance from the island to Gatsby's dock is 1.3 miles.
What is a Pythagoras theorem?A Pythagoras theorem is a principle that can be used to determine the unknown side of a right angled triangle when the other two sides are known.
Applying the Pythagoras theorem to the given question, let the distance from island to Gatsby's dock be represented by s. Then;
/Hyp/^2 = /Opp/^2 + /Adj/^2
s^2 = 1.2^2 + 0.5^2
= 1.44 + 0.25
= 1.69
s = 1.69^1/2
= 1.3
Thus, the straight-line distance from the island to Gatsby's dock is 1.3 miles.
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pls help, it on khan academy
Answer:
25.12cm²
Step-by-step explanation:
Hope it helps. Have a nice week.
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?
23 53 67 61 66 91 27 85 98 44 73
Question content area bottom
Part 1
Range= enter your response here (Round to one decimal place as needed.)
Part 2
Sample standard deviation= enter your response here (Round to one decimal place as needed.)
Part 3
Sample variance= enter your response here (Round to one decimal place as needed.)
Part 4
What do the results tell us?
A.
Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
B.
The sample standard deviation is too large in comparison to the range.
C.
Jersey numbers on a football team do not vary as much as expected. D Jersey numbers on a football team vary much more than expected.
Answer:
Part 1:
Range = 98 - 23 = 75
Part 2:
First, find the sample mean:
Mean = (23 + 53 + 67 + 61 + 66 + 91 + 27 + 85 + 98 + 44 + 73)/11 = 61.9
Then, find the sum of the squared differences between each jersey number and the mean:
(23-61.9)^2 + (53-61.9)^2 + (67-61.9)^2 + (61-61.9)^2 + (66-61.9)^2 + (91-61.9)^2 + (27-61.9)^2 + (85-61.9)^2 + (98-61.9)^2 + (44-61.9)^2 + (73-61.9)^2 = 12388.4
Sample variance = 12388.4/10 = 1238.84
Sample standard deviation = √1238.84 = 35.17
Part 3:
Sample variance = 1238.84
Part 4:
The results tell us that there is a relatively large range in jersey numbers, with a difference of 75 between the highest and lowest numbers. The sample variance and standard deviation also indicate that there is a considerable amount of variability in the data, with jersey numbers varying significantly from the mean. This suggests that there is no pattern or structure to the jersey numbers on the football team, and that they are assigned somewhat randomly.
Step-by-step explanation:
Josh is at a park. He knows that the distance from the picnic table to a tree is 124 feet. Josh also knows the angle formed by a segment from his location to the picnic table and a segment from his position to the tree is 54 degrees and that triangle formed by his position, the picnic table, and the tree is a right triangle, with a right angle at the picnic table. Does josh have enough to find how far he is from the picnic table.
Answer:
Yes, Josh has enough information to find how far he is from the picnic table. Josh is 90.1 ft from the picnic table (to the nearest tenth).
Step-by-step explanation:
Yes, Josh has enough information to find how far he is from the picnic table.
From the given information, we can model this as a right triangle where the angle is 54°, the side opposite the angle is the distance between the picnic table and the tree, and the side adjacent the angle is the distance between Josh and the picnic table. (See attached diagram).
To calculate the distance between Josh and the picnic table (labelled "x" on the attached diagram), use the tangent trigonometric ratio.
[tex]\boxed{\begin{minipage}{6 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\end{minipage}}[/tex]
Substitute the values into the tan ratio:
[tex]\implies \tan 54^{\circ}=\dfrac{124}{x}[/tex]
[tex]\implies x=\dfrac{124}{\tan 54^{\circ}}[/tex]
[tex]\implies x=90.09127...[/tex]
[tex]\implies x=90.1\; \sf ft\;(nearest\;tenth)[/tex]
Therefore, Josh is 90.1 ft from the picnic table (to the nearest tenth).
A spice box manufacturing company is having difficulty filling packets to the required 50 grams. Suppose a business researcher randomly selects 60 boxes, weighs each of them and computes its mean. By chance, the researcher selects packets that have been filled adequately and that is how he gets the mean weight of 50 g, which falls in the "fail to reject" region.
The decision is to fail to reject the null hypothesis even though population mean is NOT actually 50 g.
Which kind of error has the researcher done in this case?
Answer: The researcher has made a Type II error in this case.
A Type II error occurs when the null hypothesis is not rejected even though it is false, i.e., the researcher fails to detect a significant difference when one actually exists. In this case, the null hypothesis is that the mean weight of the spice packets is 50 g, and the researcher has failed to reject this null hypothesis based on the sample mean of 50 g.
However, the population mean is not actually 50 g, and the researcher has made an error in failing to detect this difference. The sample size of 60 boxes may not have been large enough to detect a significant difference, or there may have been other factors that affected the measurements.
Therefore, the researcher has made a Type II error in this case by failing to reject the null hypothesis when it is actually false.
Step-by-step explanation: