Answer:
[tex]x + 3y > 9 \\ 3y > - x + 9 \\ y > - \frac{1}{3} x + 3 \\ y - intercept \: is \: 3 \\ first \: point = 3 \\ second \: point \: = 9[/tex]
Each of two parents has the genotype green/blue, which consists of the pair of alleles that determine eye color, and each parent contributes one of those alleles to a
child. Assume that if the child has at least one green allele, that color will dominate and the child's eye color will be green
a. List the different possible outcomes. Assume that these outcomes are equally likely
b. What is the probability that a child of these parents will have the blue / blue genotype?
c. What is the probability that the child will have green eye color?
Step-by-step explanation:
what is the ability that the children will have green eyes collar
A tree farm has 70 rows of trees. The first row has 25 trees, the second
row has 30 trees, the third row has 35 trees, and so on. Let n be the
number of the row.
Write a function f(n) to represent the number of total trees in the nth
row. (gmm) pls help
Step-by-step explanation:
The function is:
[tex]f(n) = 25 + 5 \times (n - 1) \\ n \geqslant 1[/tex]
You have been given the task of designing a study concerning the lifetimes of five different types of electric motor. The initial question to be addressed is whether there are differences in mean lifetime among the five types. There are 20 motors, four of each type, available for testing. A maximum of five motors can be tested in a day. The ambient temperature differs from day to day, and this can affect motor lifetime.
a. Describe how you would choose the five motors to test each day. Would you use a completely randomized design? Would you use any randomization at all?
b. If X;j represents the measured lifetime of a motor of type i tested on day j, express the test statistic for testing the null hypothesis of equal lifetimes in terms of the Xir
Answer:
a-As the only factor of interest is type of electric motor, thus instead of using 1-factor randomization, a randomized block design is used where at maximum one motor of each type is tested every day.
b- The test statistic is given as
[tex]F_{I-1,(I-1)(J-1)}=\dfrac{12\left(\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..}\right) }{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}[/tex]
Step-by-step explanation:
a-
This is done such that the days are considered as blocks and the randomization is only occuring within the block. The order of testing is random. However the condition is implemented such that one motor of each type is tested each day.
b-
The F-Value is given as
[tex]F-Value=\dfrac{MSA}{MSAB}[/tex]
Here MSA is given as
[tex]MSA=\dfrac{J\Sigma^I_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{I-1}[/tex]
Here
I is the number of types which is 5J is the number of motors of each type which is 4[tex]\bar{X}_{i.}[/tex] is the row-wise mean which is given as [tex]\bar{X}_{i.}=\dfrac{1}{J}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{..}[/tex] is the sample grand mean which is given as [tex]\bar{X}_{..}=\dfrac{1}{IJ}\Sigma^I_{i=1}\Sigma^J_{j=1}X_{ij}[/tex]Similarly MSAB is given as
[tex]MSAB=\dfrac{\Sigma^I_{i=1}\Sigma^J_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(I-1)(J-1)}[/tex]
Here
I is the number of types which is 5J is the number of motors of each type which is 4[tex]\bar{X}_{i.}[/tex] is the row-wise mean which is given as [tex]\bar{X}_{i.}=\dfrac{1}{J}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{..}[/tex] is the sample grand mean which is given as [tex]\bar{X}_{..}=\dfrac{1}{IJ}\Sigma^I_{i=1}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{.j}[/tex] is the column-wise mean which is given as [tex]\bar{X}_{.j}=\dfrac{1}{I}\Sigma^I_{i=1}X_{ij}[/tex][tex]X_{ij}[/tex] is the any motor j of type iBy putting these values and simplifying, equation becomes:
[tex]F-Value=\dfrac{MSA}{MSAB}\\\\F-Value=\dfrac{\dfrac{J\Sigma^I_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{I-1}}{\dfrac{\Sigma^I_{i=1}\Sigma^J_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(I-1)(J-1)}}\\\\F-Value=\dfrac{\dfrac{4\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{5-1}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(5-1)(4-1)}}\\\\[/tex]
This is further simplified as
[tex]F-Value=\dfrac{\dfrac{4\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{4}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\F-Value=\dfrac{\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\[/tex]
The numerator can be written as
[tex]F-Value=\dfrac{\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\F-Value=\dfrac{12(\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..})}{{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}}\\[/tex]
what is the measure of angle a enter your answer as a decimal in the box round only your final answer to the nearest hundredth
ANSWER.
The measure of angle A is 53.13°.
STEP BY STEP
Given,
ABC is a triangle,
In which m∠CBA = 90°, AB = 3 cm, BC = 4 cm and CA = 5 cm,
By the law of sine,
( By cross multiplication )
By substituting the values,
( sin 90° = 1 )
Hence, the measure of angle A is 53.13°.
Tools
Fill &. Sign
Comment
I
Topic: Profit and Loss
Ex: 7a, page no. 92
cost price
12
Q1. A man purchased a dozen pens for Rs 25 each and sold them at Rs 28
each. Find the total profit as well as the profit per cent on the transaction.
Ans. Solution:
Answer:
RS 36
12%
Step-by-step explanation:
Profit = total selling price - cost price
(28 - 25) x 12 = 36
Percentage profit = (profit / cost price) x 100
Cost price = 25 x 12 = 300
(36/300) x 100 = 12%
You need a 70% alcohol solution. On hand, you have a 40 mL of a 35% alcohol mixture. You also have 75% alcohol mixture. How much of the 75% mixture will you need to add to obtain the desired solution?
Answer:
250 ml of the 75% mixture are needed to obtain the desired solution.
Step-by-step explanation:
Since I need a 70% alcohol solution, and on hand, I have a 40 mL of a 35% alcohol mixture, and I also have 75% alcohol mixture, to determine how much of the 75% mixture will you need to add to obtain the desired solution, the following calculation must be performed:
100 x 0.75 + 0 x 0.35 = 75
90 x 0.75 + 10 x 0.35 = 71
89 x 0.75 + 11 x 0.35 = 70.6
87.5 x 0.75 + 12.5 x 0.35 = 70
12.5 = 40
87.5 = X
87.5 x 40 / 12.5 = X
3,500 / 12.5 = X
280 = X
Therefore, 250 ml of the 75% mixture are needed to obtain the desired solution.
what is the area of the donut pictured below? use 3.24 for pi
WILLL MARK BRAINLIEST IF GOTTEN RIGHT
Sorry for the changing answers, did the question too fast and misinterperted the diagram. The answer below is the correct one.
Answer:
mUC=70°
Step-by-step explanation:
The angle (87) formed by two chords (US and TS) is half the sum of the intercepted arcs(104 and mUC):
87=(1/2)(104+mUC)
174=104+mUC
mUC=70°
What is the perimeter of triangle ABC?
12 units
13 units
14 units
18 units
\
Step-by-step explanation:
Here
A(-2,6)B(1,2)C(-2,-2)Now,
[tex]\\ \tt\hookrightarrow AB=\sqrt{(-2-1)^2+(6-2)^2}[/tex]
[tex]\\ \tt\hookrightarrow AB=\sqrt{(-3)^2+(4)^2}[/tex]
[tex]\\ \tt\hookrightarrow AB=\sqrt{9+16}[/tex]
[tex]\\ \tt\hookrightarrow AB=\sqrt{25}=5units[/tex]
And,
[tex]\\ \tt\hookrightarrow BC=\sqrt{1+2)^2+(2+2)^2}[/tex]
[tex]\\ \tt\hookrightarrow BC=\sqrt{(3)^2+(4)^2}[/tex]
[tex]\\ \tt\hookrightarrow BC=\sqrt{9+16}[/tex]
[tex]\\ \tt\hookrightarrow BC=\sqrt{25}=5units[/tex]
And
[tex]\\ \tt\hookrightarrow AC=\sqrt{(-2+2)^2+(6+2)^2}[/tex]
[tex]\\ \tt\hookrightarrow AC=\sqrt{(0)^2+(8)^2}[/tex]
[tex]\\ \tt\hookrightarrow AC=\sqrt{8^2}=\sqrt{64}=8units[/tex]
Now
[tex]\\ \tt\hookrightarrow perimeter=5+5+8=18units[/tex]
Round to The nearest hundred 554,695 help
Answer:
554,700
Step-by-step explanation:
I need help please tell the right answer
Answer: 47.6 is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4Step-by-step explanation:
please answer my questoins
What's the question?
What’s the slope???? Please help meee!
Answer:
The slope is 0.
Step-by-step explanation:
Suppose we have two points in a data set, the slope is given by the change in the output divided by the change in the input.
In this question:
Two points: (0,-20) and (1,-20)
Change in the output: -20 - (-20) = -20 + 20 = 0
Change in the input: 1 - 0 = 1
Slope: 0/1 = 0
The slope is 0.
Condense the logarithm
q log b + 3 log k
Answer:
a
Step-by-step explanation:
Answer:
[tex]log(\frac{a^{2} }{b^{3} } )[/tex]
Step-by-step explanation:
[tex]q[/tex] [tex]log[/tex] [tex]a -3log[/tex] [tex]b[/tex]
[tex]=log[/tex] [tex]a^{2} -log[/tex] [tex]b^{2}[/tex]
[tex]now[log[/tex][tex]a/b=log[/tex] [tex]a-log[/tex] [tex]b[/tex][tex]][/tex]
[tex]= log(a^{2} /b^{3)}[/tex]
[tex]--------[/tex]
hope it helps...
have a great day!!!
What is the slope of the line graphed below? (-1,3) (-2,-1)
Answer:
the slope of (-1,3) (-2,-1) is 4
Solution set no links please
I believe that the answer is 11/4. I hope this helps!
The cost of a spa treatment is $42 and there is sales tax of 6%. What is the total cost of the spa treatment?
Answer:
$52.92 has been spent in total for spa treatment and this amount includes a sales tax of $2.52 and a tip of $8.40.
Step-by-step explanation:
Cost of the spa treatment = $42
Percentage of sales tax = 6%
Percentage of tips = 20%
Normally the tips amount is calculated before adding sales tax.
Then
Amount of tips given = (20/100) * 42
= (1/5) * 42
= 8.40 dollars
Amount of sales tax taken = (6/100) * 42
= 252/100
= 2.52 dollars
Then
The total amount spent for spa treatment = (42 + 8.40 + 2.52) dollars
= 52.92 dollars
which equation is equivalent to xy (3x + 2y) = 4
Answer:
the value x is 0 and the value of y is 2
HELP ME PLEASE EDCITE !!!!
Answer:
I might be in highschool, but I'm sure I can still help.
Step-by-step explanation:
See the 45 degree angles? that means they're equal sides. So 4v2 = 5.65, right? so if you take 180 - 5.65, and then divide by two, you should have the length to each of those sides. They're equal, remember. So, the answer would be 180 - 5.65 = 174.35. 174.35 / 2 = 87.175. In this case, k = 87.175 :)
How many solutions are there to the system
{y = 1/3x + 5
{x + 3y = 6
Answer:
there are 3 solutions which can be done by substitution method, elimination method,graphical method, 9f you need solution than contact me 8n comments I can show solutions
Farmer Bob can get 10 gallons of milk from 4 cows. How many gallons of milk can he get from 14 cows?
Answer:
40 gallons of milk
Step-by-step explanation:
trust me that's the answer
The farmer will get 35 gallons of milk from 14 cows.
Process:
1) find the unit rate. do this by taking the independent value and divide it by the dependent value
10/4=2.5
2) Take this number and multiply it by the next dependent value
2.5 x 14 = 35
In triangle ABC, m∠A=(2x+2)∘, m∠C=54∘, and the exterior angle at B is (4x)∘.
Triangle A B C. Angle A is 2 X plus 2 degrees, angle C is 54 degrees, & the exterior angle at B is 4 X degrees.
© 2020 StrongMind. Created using GeoGebra.
What is the measure of angle A?
58∘
112∘
28∘
68∘
Answer:
112 ^0
Step-by-step explanation:
cant explains it very well
The student council raised $150 during the school dance if they charge $3per ticket and received $24 in other donations what is the amount of tickets they sold?
jada uses a pitcher to fill a pot of water. the pitcher holds 8/10 liter of water. it takes 12 full pitchers of water to fill the pot. what is the total amount of water that the pot holds?
Answer:
The pot can hold 9 6/10 liters of water
Step-by-step explanation:
Since you know that the pitcher can hold 8/10 liters of water and that Jada has to fill the pitcher 12 times to fill the pot you would first convert the 8/10 liters that the pitcher can hold to a decimal so that would become 0.8 liters of water and then you would multiply the 0.8 by 12 to get 9.6 liters of water and then you can convert that back to a fraction which would be 9 6/10 liters of water. So the pot can hold 9 6/10 liters of water
What are the values of the coefficients and constant term of 0 = 4 - 7x2 + x in standard form?
a =
b =
C=
Answer:
a = -7
b = 1
c = 4
Step-by-step explanation:
0 = 4 - 7x²+ x
-7x²+x+4 = 0
But
ax²+bx + c = 0
a = -7
b = 1
c = 4
Answer:
-7, 1, 4
Step-by-step explanation:
1
In a circle, the coordinates of the endpoints of
a diameter are (4,5) and (10,1). What are the
coordinates of the center of the circle?
Answer: (7,3)
Step-by-step explanation:
Find the midpoint of the diameter to find the center
mid-point formula
[tex](\frac{(x_{1} +x_{2)} }{2} ,\frac{(y_{1} +y_{2} )}{2} )[/tex]
Using points (4,5) and (10,1)
[tex](\frac{4+10}{2} , (\frac{5+1}{2} )\\(\frac{14}{2},\frac{6}{2}) \\\\(7,3)[/tex]
The coordinates of the center of the circle are (7, 3).
Given that, in a circle, the coordinates of the endpoints of a diameter are (4,5) and (10,1).
What is the midpoint of a line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.
The formula to find the midpoint of line segment is (x, y) = [(x1+x2)/2, (y1+y2)/2]
The center of the circle is midpoint of a diameter
Here, (x, y) = ((4+10)/2, (5+1)/2)
= (14/2, 6/2)
= (7, 3)
Therefore, the coordinates of the center of the circle are (7, 3).
To learn more about the formula of midpoint visit:
https://brainly.com/question/4728902.
#SPJ2
Please help I'll mark you as brainiest
The answer is going to be B
10% of $200,000 = $20,000
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
The actual area of the apartment will be 960 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
A blueprint shows an apartment with an area of 15 square inches.
If the blueprint's scale is 1 inch : 8 feet.
Then the scale factor will be 8/1 feet per inch.
Then the actual area square footage of the apartment will be
Actual area = 15 x (scale factor)²
Then the actual area of the footage will be
Actual area = 15 x (8/1)²
Actual area = 15 x 64
Actual area = 960 square feet
Thus, the actual area of the apartment will be 960 square feet.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ2
PLEASE HELP PLEASE (dont do links)
Answer:
B
-2(0)²+24(0)-54
= -54
Answer:
I think its C
Step-by-step explanation:
y intercepts (0,-54)
The number of hours per week that the TV is turned on is determined for each family in a sample.
The mean of the data is 37 hours.
The median is 33.2 hours.
Twenty four of the families in the sample watched TV for less than 22 hrs per week.
The 16th percentile is 22hrs.
150 families participated in the study.
The first percentile is greater than or equal to 22 hours: True or False?
Answer:
False, the first percentile is less than 22 hours.
Step-by-step explanation:
xth percentile:
If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.
Twenty four of the families in the sample watched TV for less than 22 hrs per week. In the sample, there are 150 families.
This means that 22 is the:
24*100%/150 = 16th percentile.
The first percentile is greater than or equal to 22 hours: True or False?
The first percentile is less than the 16th percentile, which is 22. This means that this is false, the first percentile is less than 22 hours.