Rationalize the denominator 18/3root2+1
Answer:
[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]
Step-by-step explanation:
The given expression is :
[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]
We need to rationalize the denominator.
Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :
[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]
So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].
Which equation represents a line which is parallel to the y-axis?
X=-4y
Y=x-3
Y=-7
X=-8
Answer:
x = -8
Step-by-step explanation:
If the line is parallel to the y axis, that means it will be a vertical line.
Vertical lines have an equation of x = , because the line will only go through one x value.
They also will not have a slope, because their slope is undefined.
So, the correct answer is x = -8
8t=56 plsssssss helppp mee
Answer: t=7
Step-by-step explanation:
1. Isolate x or divide both sides by 8: t=56/8
2. Simplify: t=7
Have a nice day! :D
People with albinism have little pigment in their skin, hair, and eyes. The gene that governs albinism has two forms (called alleles), which we denote by a and A. Each person has a pair of these genes, one inherited from each parent. A child inherits one of each parent's two alleles independently with probability 0.5. Albinism is a recessive trait, so a person is albino only if the inherited pair is aa.
a. Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?b. Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?c. Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
Answer:
a)
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
b)
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c)
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
Step-by-step explanation:
Given the data in the question;
a) Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
To be fully albino you must be aa and must also have at least one a as well as have a child with someone who also has has at least a.
b) Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?
A a
A AA Aa
a aA aa
so, Since each type is equally likely, and each is inherited independently of each other then,
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c) Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
First we rule out aa, since Beth is not an Albino.
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
A drink and a sandwich together cost $4.85. The sandwich cost $1.35 more than the drink. How much does the sandwich cost.
The sandwich will cost $3.1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say the cost of 1 drink is d while the cost of 1 sandwich is s
Now,
Given that,
A drink and a sandwich together cost $4.85.
So,
s + d = 4.85
And,
The sandwich cost $1.35 more than the drink.
So,
s = 1.35 + d
By using substitution
s = 1.35 + 4.85 - s
2s = 6.2
s = 3.1
Hence "The sandwich will cost $3.1".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
use the table to write a proportion.
Answer:
22
Step-by-step explanation:
Thirteen less than eight times a number is - 18.
Choose the correct answer below.
A. 8x + 13 = - 18
B. 8(x - 13) = -18
C. 13x - 8 = - 18
D. 13x + 8 = - 18
E. 8x - 13 = - 18
Answer:
C
Step-by-step explanation:
13-8x =-18 with x being a random number apart from zero
Can someone just help me with this simultaneous equations with substitution. I’ve asked ten times and no one has helped. Please
Answer:
I've answered this for you in your previous question. Hope it helped
Answer:
[tex]\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}[/tex]
Step-by-step explanation:
3x + 4y = 11 ----------------------(1)
x = 15 - 7y ----------------------(2)
Put Eq. (2) in (1)
3(15 - 7y) + 4y = 11
45 - 21y + 4y = 11
45 - 17y = 11
Subtracting 45 to bot sides
-17y = 11 - 45
-17y = -34
Dividing both sides by -17
y = -34 / -17
y = 2
[tex]\rule[225]{225}{2}[/tex]
Put y = 2 in Eq. (2)
x = 15 - 7(2)
x = 15 - 14
x = 1
[tex]\rule[225]{225}{2}[/tex]
Solution Set = {x,y} = {1,2}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807determine the following
Answer:
Step-by-step explanation:
Stuffed animals at a toy
store are split among 4
shelves. There are 12
stuffed animals on each
shelf. How many stuffed
animals are at the store?
Answer:
48
Step-by-step explanation:
12 x 4 = 48
Answer:
48
Step-by-step explanation:
If there are 4 shelves with 12 on each you multiply 4 by 12 (4*12) which gives you 48
what is the adjective in these sentence the elephant had a long twisty trunk.which of the word is adjective .
Elena completed the
hiking trail in 30 minutes. How many calories
did Elena burn?
Answer:
177
Step-by-step explanation:
In a survey at a local university, 61% of students say that they get less than the recommended eight hours of sleep per night. In a group of 2700 students, how many would you expect get eight
students get eight or more hours of sleep per night.
Find the surface area of the figure.
Answer:
152 cm²
Step-by-step explanation:
2x5x3=30
2x6x3=36
5x6=30
2x2.5x6=30
2x6=12
(2+5)/2=3.5x2=7x2=14
30+36+30+30+12+14=152
3y + 2 + 2y + 5 =x + y + 2y – 4 =
Answer:
This is your answer ☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
please help me with this!!!!!
Answer:
c
Step-by-step explanation:
it c because i said so. and im right so the answer is C
Answer:
C. 3/8
Step-by-step explanation:
To solve think about how many sections there truly are. The 5 section represents 3 parts, the 2 section represents 2 parts, and the 1, 4, 3 sections represent 3 parts in total. This means overall there are 8 parts to this spinner. Since 5 takes up 3 of these 8 parts, the probability of the pointer landing on 5 is 3/8.
here are two numbers which add up to 17. If one number is 13 more than the other, find the two numbers.
Answer:
X+y=17
X=y+13
y+13+y-13=17-13
2y. =4
y=2.
X=2+13
X=15
the two numbers are 2 and 15
Complete the equation of the line whose y-intercept is (0,6) and slope is 3.
y=
Answer:
y=3x+6
Step-by-step explanation:
Answer:
3x+6
Step-by-step explanation:
If it is on Khan you will get it right if you do this answer.
18
Drag each label to the correct location on the tree diagram. Each label can be used more than once, but not all labels will be used.
Jolene can take elther of two roads to return home from school, road 1 or road 2. She can choose to walk, bike, or ride her scooter. She must
choose one road and one mode of travel. The sample space is given as a tree diagram. Complete the sample space.
road 1
scooter
walk
bike
walk
bike
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
returning home
road 2
2021 Edme
bike
Answer:
very left box- road 1
top right box- scooter
bottom right box- walk
Step-by-step explanation:
Answer: answer above me is correct
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs
2X-5<9 solve inequality
Step-by-step explanation:
2x<9+5
2x<14
2x/2<14/2
x<7
Answer:
[tex]\boxed {\boxed {\sf x <7}}[/tex]
Step-by-step explanation:
To solve the inequality you must isolate the variable, which is x.
[tex]2x-5 < 9[/tex]
5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.
[tex]2x-5+5 < 9+5[/tex]
[tex]2x < 14[/tex]
x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.
[tex]\frac {2x}{2} < \frac {14}{2}[/tex]
[tex]x <7[/tex]
The solution to this inequality is x <7
-2n = -6
thanks for helping
☁️ Answer ☁️
n = 3
Hope it helps.
Have a nice day noona/hyung ￣▽￣
Answer:
n=3
Step-by-step explanation:
-2n=-6
-2n/-2= -6/-2
n=-3
help i can’t find this answer
Answer:
(-3,-17)
Step-by-step explanation:
Please answer, I would be happy :)
HELPPP!! WILL MARK AS BRAINLIEST!!
Answer:
30
Step-by-step explanation:
All angles measure up to 180.
3x+2x+1x=180
6x=180
1x=30
Answer:
L = 90
K = 60
M = 30
Step-by-step explanation:
2x + 3x + x = 180
6x = 180
divide by 6
x = 30
3(30) = 90
2(30) = 60
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Question Help Suppose that the probability that a randomly selected person who has recently married for the first time will be divorced within 2 years is 0.25, and that the probability that a randomly selected person who has recently married for the second time will be divorced within 2 years is 0.5. Take a random sample of 25 people married for the first time and 25 people married for the second time. The sample is chosen such that no one in the sample is married to anyone else in the sample. Why is the binomial model inappropriate for finding the probability that exactly 4 of the 50 people in the sample will be divorced within 2 years? List all of the binomial conditions that are not met.
Answer:
The trial are not dependent
Step-by-step explanation:
The following four conditions must be met before Binomial probability experiment can be define, they are:
[1]. Each trial is independent, [2]. the trial must have two outcomes that is failure or success, [3]. fixed number of trials and [4]. success probability for each trial is the same.
Thus, the number of ways to choose the positions for success is given in equation (1) below as:
P(x) = n Cₓpˣ [1 - p]ⁿ⁻ˣ. ----------------------------------------------------------------------(1).
Where n-x = failure and 1 - p = probability and x = success.
For this question, three of the conditions mentioned above are met except for condition number one. This is so because the events are dependent. Therefore, the binomial condition that is not met is Each trial is independent.
NB: Why the events are dependent is because if the each husband divorce his wife, then the wife is also divorced.
Find the missing side. Round your answer to the nearest tenth.
Answer:
x= 23.0 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
PLEASE HELP!! I WILL REWARD BRANIEST!
Answer: nate
Step-by-step explanation:
nate because 7.905 is higher than all of them
find the least-squares regression line treating the FICO score, x, as the explanatory variable and the interest rate, y, as the response variable
Answer:
ŷ = -0.07637X + 61.36874
Step-by-step explanation:
Score, x :
545
595
640
675
705
750
Interest %, y:
18.982
17.967
12.218
8.612
6.680
5.150
Using the ordinary least square regression calculator :
The equation of best fit obtained is :
ŷ = -0.07637X + 61.36874
Slope = - 0.07637 (depicts a negative relationship between the variables).
Intercept = 61.36874
Score, X = explanatory variable ; Interest rate, Y = response variable
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Answer:
The two numbers are 45 and 46.
Step-by-step explanation:
Given: Sum of two numbers=91
To find: Two consecutive numbers which add up to form 91
Solution:
Consecutive numbers are those numbers which have a difference of one between them.
First divide 91 into two halves, we get 45.5
Now we know 45.5+45.5=91
But the numbers should differ by one in order for them to be consecutive.
Hence we subtract 0.5 to get one number and add 0.5 to get the second number from 45.5
So, the two numbers are 45.5–0.5=45
and 45.5+0.5=46
Hence the two numbers are 45 and 46.
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
The two numbers are 45 and 46.
Step-by-step explanation: