The mean is equal for Group A and Group B.
GivenTwo groups of students were asked how far they lived from their school.
The table shows the distances in miles:
Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8
What is mean?The mean of any data set or observation is equal to the sum of all the observations and divided by the number of observations.
The formula used to calculate the mean is;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}[/tex]
The mean of group A is;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm GroupA \ mean = \dfrac{1 + 1.5 + 3.03 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2}{9 }\\\\\rm Group A \ mean=\dfrac{ 19.53}{9}\\\\ Group A \ mean = 2.17[/tex]
The mean of group B is;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm Group B \ mean = \dfrac{2 + 2.5 + 3.23 + 1.3 + 1.8 + 2.4 + 3 + 1.5 + 1.8}{9} \\\\Group B \ mean = \dfrac{19.53}{9}\\\\ Group B \ mean = 2.17[/tex]
Hence, the mean is equal for Group A and Group B.
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Genetics In deer, the gene N is for normal coloring and the gene a is for albino. Any gene combination with an N results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors when both parents have the gene combination Na.
(a) What percent of the possible gene combinations result in albino coloring?
(b) Each parent’s gene combination is represented by the polynomial 0.5N + 0.5a. The product (0.5N + 0.5a)2 represents the possible gene combinations of an offspring. Find this product.
(c) The coefficient of each term of the polynomial you wrote in part (b) is the probability (in decimal form) of the offspring having that gene combination. Use this polynomial to confirm your answer in part (a). Explain.
The breeding of the genetics in a deer, in which the parents have both a
N and and a allele results a 0.25 chance of an albino coloring.
Response:
(a) 25%
(b) (0.5·N + 0.5·a)² = 0.25·N·N + 0.25·N·a + 0.25·N·a + 0.25·a·a
(c) The coefficient of the product (offspring) a·a is 0.25 which confirms the response in part (a)
What is Punnett square and how is it used?A Punnett square is used for the prediction of the genotypes in a
breeding experiment.
The Punnett square for the possible gene combinations is presented as
follows;
[tex]\begin{tabular}{|c|c|c|c|}&& P2& \\&&N&a\\P1&N&NN normal &Na normal\\&a&Na normal&aa albino\end{array}\right][/tex]
(a) Number of possible gene combination resulting in albino coloring = 1
Number of possible gene combinations = 4
The percentage of the possible gene combination resulting in albino
coloring is therefore;
[tex]Percentage = \dfrac{1}{4} \times 100 = \underline{25\%}[/tex]
(b) The polynomial of each parent gene combination = 0.5·N + 0.5·a
The product that represent the possible gene combinations of an offspring = (0.5·N + 0.5·a)²
(0.5·N + 0.5·a)² = (0.5·N + 0.5·a) × (0.5·N + 0.5·a)
(0.5·N + 0.5·a)×(0.5·N + 0.5·a) = 0.25·N·N + 0.25·N·a + 0.25·N·a + 0.25·a·a
The product is therefore;
(0.5·N + 0.5·a)² = 0.25·N·N + 0.25·N·a + 0.25·N·a + 0.25·a·a(c) From the product of the polynomial, (0.5·N + 0.5·a)², the probability
and therefore, the percentage of the possible gene combinations that
result in albino, a·a is 0.25, which is 25%.
The coefficient of a·a confirms the percentage of the possible gene combinations that result in albino in part (a) is 25%.Learn more about Punnett squares here:
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HELP QUICK PLEASE what is the √1/2?
Answer:
(sqrt1)/2 or 1/4
Step-by-step explanation:
It is not simplifiable any more. It is 1/4 if you don't want the square root.
Sarah sold the keychains for a total of $189. The original price was $39 and she made a profit of $0.25 per piece.How many keychains did she sell?
Answer:
Step-by-step explanation:
Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers. How many customers does Mary have?
Answer: 50 customers
Step-by-step explanation: I took the quiz
In a study of the effect of playing video games on sleep quality, researchers randomly assigned some participants to play an up-tempo video game for either one or three hours before bed. Other participants had no engagement with electronics in the time before bed. Then, the researchers assessed all the participants' sleep quality (e.g., number of awakenings, percentage of time in deep sleep) during an overnight sleep study. In this experiment, the time spent playing video games (e.g., one or three hours) is the ________.
In this experiment, there is an independent variable that is the time spent playing video games.
What is an independent variable?In research there are different ways to test a hypothesis. One of them is the experiments in which we have one or more factors that can be modified to alter the result.
These factors are known as independent variables because their variation does not depend on other factors. On the contrary, they influence the variation of other factors that are known as dependent variables.
According to the above, it can be inferred that time is the independent variable of this research because its modification is planned to evaluate the different variables that it can cause.
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In 1950, Town A had a population of 200 people and the population increased by 200 people each year. In 1950, Town B had a population of 200 people and the population increased by 10% each year. Which town will eventually have the greater population? Which town had the greatest population in 1990?
Town B will have more population in 1990.
Given that, in 1950 town A had a population of 200 people and the population increased by 200 people each year. In 1950, Town B had a population of 200 people and the population increased by 10% each year.
We need to find which town will have more people in 1990.
Town A = 1990 - 1950
= 40 years
Therefore, in 40 years it will have = 40 × 200 = 8000 population.
Town B = It is increasing by 10% each year,
so in 40 years,
P = 200(1+0.1)⁴⁰
P = 9051
Since the population of town B is greater than the population of town A.
Hence town B will have more population in 1990.
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I need help and fast!
Answer:
mark negative 1 then mark negative 7 there! hope this helped if it did not im truly sorry
Solve by factoring and/or the quadratic formula:
Answer:
x=0
Step-by-step explanation:
2x(x²/2-x/2-16+8/x)=0
2x=0 or x²/2-x/2-16+8/x=0
x=0 or (caclul delta Δ)
Write the phrase as an expression. Then evaluate the expression when y=20.
the quotient of 40 and the difference of a number y and 16
Expression:
When y=20, the value of the expression is.
Answer: Evaluate 2x2−3x+8 when x=−4 .
Substitute −4 for x. 2(−4)2−3(−4)+8
Simplify exponents. 2(16)−3(−4)+8
Multiply. 32−(−12)+8
Subtract. 44+8
Add. 52
Now we can evaluate expressions that include multiplication and division with integers. Remember that to evaluate an expression, substitute the numbers in place of the variables, and then simplify.
A delivery truck drove42 miles per hour. It took 3 hours to travel between two towns. What is the distance between the two towns? Use the equation d=rt, where d is distance, r is rate, and t is time.
Can someone plz help me? :(
Answer:
add 6 Cubes to the other side
Step-by-step explanation:
Since there are 3 cubes on one pan
and nine on the other you would need to
subtract 9-3
6 cubes to make them balance!
PLEASE HELP!!!if the unit rate for the line B is 7meters/seconds , which if the following is not a possible value for the unit rate of A
A.6.3 meters/second
B. 11.2 meters/seconds
C. 10.4 meters/seconds
D. 14 meters/seconds
Answer:
The answer is "A", 6.3 meters/second because it is lower than 7 when it is supposed to be higher.
I hope this helped and please mark me as brainliest!
Which equation is true for x = 4?
A) 2x + 5 = 25
B) 3x + 5 = 17
C) 5x - 18 = 7
D) 6x - 10 = 26
Answer:
B)
Step-by-step explanation:
test each answer option:
A) does 25 = 2(4)+5 NO, it equals 13
B) does 17 = 3(4)+5 YES, 12+5 = 17
C) does 7 = 5(4)-18 NO, it equals 2
D) does 26 = 6(4)-10 NO, it equals 14
What is the slope of the line that passes through the points (8, -6) and (5,−1)? Write your answer in simplest form.
Answer:
-5/3
Step-by-step explanation:
To find the slope of the two points, use the formula: Y2-Y1/X2-X1
-1 is Y2, -6 is Y1, so that will be our numerator in this equation
5 is X2, 8 is X1, so that will be our denominator in this equation
So our equation becomes, -1+6/5-8 (Two negative signs create a positive so instead of -6 it becomes +6)
When we solve this, we get 5/-3
So our slope is -5/3
Hope this helps!
The slope of the line that passes through the points (8, -6) and (5,−1) is -5/3.
We have given that,
The slope of the line that passes through the points (8, -6) and (5,−1).
To determine the slope of the given points.
To find the slope of the two points,
What is the formula for the slope?use the formula: Y2-Y1/X2-X1
(8, -6)
Therefore, -1 is Y2, -6 is Y1,
So that will be our numerator in this equation
(5,−1)
5 is X2, 8 is X1, so that will be our denominator in this equation
So our equation becomes, -1+6/5-8 (Two negative signs create a positive so instead of -6 it becomes +6)
When we solve this, we get 5/-3
So our slope is -5/3.
Therefore the slope of the given point is -5/3.
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Factor Completely : 6w2 – 66w – 72
Answer:
6w*6w-66*w-72
Hope This Helps!!!
Answer:
6(w - 12)(w + 1)
Step-by-step explanation:
6w² - 66w - 72 ← factor out 6 from each term
= 6(w² - 11w - 12) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the w- term (- 11)
The factors are - 12 and + 1 , since
- 12 × 1 = - 12 and - 12 + 1 = - 11 , then
w² - 11w - 12 = (w - 12)(w + 1) , so
6w² - 66w - 72 = 6(w - 12)(w + 1) ← in factored form
6) Thomas begins an exercise routine for 20 min each day. Each week he plans to add 5 minutes per day to his
length of exercise. For how many minutes will he exercise each day in the 6th week?
Answer:
45 min
Step-by-step explanation:
1st week = 20 min
2nd week = 25 min ..6th week=45 min
Write a graph an inequality to match each situation: The fish weighed at least 15 pounds
Any0ne b0red?
2 4/5 x 1/3 =
1 1/4 x 1/5 =
Answer:
[tex]\frac{14}{15}[/tex]
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given the following equations:
[tex]2\frac{4}{5} \times\frac{1}{3}[/tex]
[tex]1\frac{1}{4} \times\frac{1}{5}[/tex]
In order to solve the following equations, we convert the mixed numbers into improper fractions and then solve by multiplying the numerators and the denominators by each other.
[tex]2\frac{4}{5} \times\frac{1}{3}[/tex]
[tex]2\frac{4}{5} =5\times2=10+4=\frac{14}{5}[/tex]
[tex]\frac{14}{5} \times\frac{1}{3}[/tex]
[tex]14\times1=14[/tex]
[tex]5\times3=15[/tex]
[tex]=\frac{14}{15}[/tex]
[tex]1\frac{1}{4} \times\frac{1}{5}[/tex]
[tex]1\frac{1}{4} =1\times4=4+1=\frac{5}{4}[/tex]
[tex]\frac{5}{4} \times\frac{1}{5}[/tex]
[tex]5\times1=5[/tex]
[tex]4\times5=20[/tex]
[tex]\frac{5}{20} \div5=\frac{1}{4}[/tex]
[tex]=\frac{1}{4}[/tex]
Hope this helps.
A book cost sh 320. how many books will one buy using sh 6400?
what is the value of s
Answer:
17
Step-by-step explanation:
First of all, based on the Pythagorean theorem, a^2 + b^2 = c^2
(it's very important that the ∠ABD angle is 90 degrees)
8^2 + 15^2 = s and 5^2 + 15^2 = CD (but the original question doesn't want the value of CD, so we just need to solve for s)
64 + 225 = 289 now remember, 289 is s^2, and we only want the value of s, so we have to find its square root: √289 = 17
Hope it helped!
1) Copybooks cost thirty-five cents each. How much would three copybooks cost?
2) What is twenty percent of twenty eight euros?
3) Sam bought a pen for one euro seventy-five cents. How much change did he receive from a five euro note?
Answer:
1) 1.05
2) 5.6 Euros
3) 4.25
Step-by-step explanation:
For answer one just times the amount of copy books by 0.35 which is 1.05
0.35x3=1.05
For answer two just divide the amount of 28 euros by thinking of it as change and see how much is left for example 30% of 15 euros is 4.5
For answer three just subtract the amount of cost by 5 euros
If it takes 68 seconds for you to walk up a flight of stairs from the first floor to the third-floor how long would it take you to walk from the first floor to the seventh floor
Answer:
204 Seconds
Step-by-step explanation:
Step 1 - 68/2 this is to find the unit cost in seconds that it takes to walk up the stairs to get 34.
The 2 is from the amount of flights of stairs you have to walk up to get from floor 1 to floor 3.
Step 2 - 34*6 this is because the unit price is 34seconds/flight of stairs to get 204.
Answer 204 Seconds.
Your friend wants to know how to calculate the number of balloons she would need to float.
What would you need to know from her, and what instructions would you give in return?
(Be very specific! This is a risky experiment.) Pls Help me!
a hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there
Answer:
2,598,960
Step-by-step explanation:
It is a combination because order doesn't matter. You wouldn't want to call A-K-Q-J-10 of hearts a different combination than 10-J-Q-K-A.
52 C 5 = 2,598,960
1. Is (0,9) a solution?
y = -3x + 5
Answer:
no
Step-by-step explanation:
to determine if (0, 9 ) is a solution substitute x = 0 into the equation and if the result is 9 then it is a solution
y = - 3(0) + 5 = 0 + 5 = 5 ≠ 9
then (0, 9 ) is not a solution to the equation
5x + 3y - 15 + x
PLS HELP ASAP FAST
Answer:
6x+3y-15
Step-by-step explanation:
take the x's add them up. take the y put it after the answer of the x's then subtract the y. (im just waffling)
will give brainilist if correct
Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal:
4.50p + 40 = 112
Find the number of pairs of shoes he must sell to meet his daily earnings goal:
16 pairs of shoes
Step-by-step explanation:
$40 per day
$4.50 per shoe
$112 is earning goal
p = # of shoes he needs to sell, to get to goal
to find p we have to isolate p
4.50p + 40 = 112
subtract 40 from both sides
4.50p = 72
divide both sides by 4.50
p = 16
Roger needs to sell 16 shoes each day in order to achieve his goal of earning $112 each day.
What if a quadratic equation has an imaginary number in it?.
Given that a=2, b=-1 and c=3 work out b(squared) - 2ac
Answer:
-11
Step-by-step explanation:
a=2, b=-1, and c=3
We need to find out b²-2ac
(-1)²-2(2)(3)=1-2(6)=1-12=-11
Help me plzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
