Answer:
y^6 - 9y^4 + 27y² - 27
Step-by-step explanation:
(y² - 3) (y^4 - 6y² + 9)
y^6 - 6y^4 + 9y² - 3y^4 + 18y² - 27
y^6 - 9y^4 + 27y² - 27
Plzz help me with this question
Answer:
4
Step-by-step explanation:
The degree is equal to the largest exponent on a variable. In this instance, it is 4.
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of days and a standard deviation of days. (a) What is the minimum pregnancy length that can be in the top % of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom % of pregnancy lengths? (a) The minimum pregnancy length is 280 days.
Answer:
(a) 283 days
(b) 248 days
Step-by-step explanation:
The complete question is:
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 268 days and a standard deviation of 12 days. (a) What is the minimum pregnancy length that can be in the top 11% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths?
Solution:
The random variable X can be defined as the pregnancy length in days.
Then, from the provided information [tex]X\sim N(\mu=268, \sigma^{2}=12^{2})[/tex].
(a)
The minimum pregnancy length that can be in the top 11% of pregnancy lengths implies that:
P (X > x) = 0.11
⇒ P (Z > z) = 0.11
⇒ z = 1.23
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.23=\frac{x-268}{12}\\\\x=268+(12\times 1.23)\\\\x=282.76\\\\x\approx 283[/tex]
Thus, the minimum pregnancy length that can be in the top 11% of pregnancy lengths is 283 days.
(b)
The maximum pregnancy length that can be in the bottom 5% of pregnancy lengths implies that:
P (X < x) = 0.05
⇒ P (Z < z) = 0.05
⇒ z = -1.645
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-1.645=\frac{x-268}{12}\\\\x=268-(12\times 1.645)\\\\x=248.26\\\\x\approx 248[/tex]
Thus, the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths is 248 days.
what must be added to a + b to get a
Answer:
we have to add (-b) to get (a)
Step-by-step explanation:
a+b+(-b)=a
a+b-b=a
a=a
Hence verified.
Hope this helps you. Have a nice day^_^
Which graph has a correlation coefficient, r, closest to 0.95
Answer:
A correlation coeff close to +1 would have a positive slope, and all dots representing the data set would be quite close to the regression line.
Correlation is a measure of association between two variables. IF there is a perfect linear association then correlation would be nearer to 1.
Correlation always lies between -1 and +1.
If between-1 and 0 we say there is a negative correlation.
If nearer to 1 than to 0 then we say strong correlation
Here given correlation is 0.95 i.e. positive and have almost perfect linear relation.
Hence we see that Graph C shows almost linear relationship with slope positive
So option C is answer
reduce 63/72 to its lowest terms
Answer:
7/8
Step-by-step explanation:
63 ÷ 9/72 ÷ 9
= 7/8
Answer:
7/8
Step-by-step explanation:
63/9 = 7
72/9 = 8
then:
63/72 = 7/8
Correct gets 5 stars and brainliest
Answer:
13 mi
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 +12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
6(n+1) n=9 plz help me
Answer: 60
Step-by-step explanation:
So easy so the n is 9 so 9 plus 1 is 10 6(10) then multiply so 60
find each rate and unit rate.
a. 420 miles in 7 hours
b. 360 customers in 30 days
c. 40 meters in 16 seconds
d. 7.96 for 5 pounds
Answer:
c is the answer
Step-by-step explanation:
Answer:
Answers Work
a.60 miles in one hour 420/7
b.12 customers in one day 360/30
c.2.5 meters in I second 40/16
d.$1.59 for 1 pound 7.96/5
Step-by-step explanation:
Solve the system of equations.
y=-2x
y= x2 - 8
A. (-4, 8) and (2, -4)
B. (-2,-4) and (4,8)
C. (-4,-8) and (2, 4)
D. (-2, 4) and (4, -8)
Answer:
A. (-4,8) and (2,-4)
Step-by-step explanation:
Because you already have a value for "y" you can plug in that value of "y" into the next equation and then solve for Y and X
Jack got 76% of the questions correct on his math test.What is 76% written as a fraction in simplest form?
Answer:
19/25
Step-by-step explanation:
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU!!! :)
Answer:
(5,3) and (5,9)
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
A. y=5x−3
B. y=3x+5
C. y=5x+3
D. y=3x−5
Answer:
I'm not so sure but i guess it's option D y=5x-3
the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now
Find the 9th term of the geometric sequence whose common ratio is 23 and whose first term is 3
Answer:
2.35 x 10^11
Step-by-step explanation:
The formula for finding the nth term in a geometric sequence is ar^n-1.
a = 3, r = 23, and n = 9:
3(23)^9-1 = 3(23)^8 = 2.35 x 10^11.
What is the answer for this question
Answer:
option d. is the correct answer
Indi, Mark, and Tess each pick a slip of paper with a subtraction
expression written on it. The person holding the card with the
greatest value wins a prize. Who wins the prize?
Answer:
Tess wins the prize.
Step-by-step explanation:
[tex]\boxed{\text{Indi}: 2-3}[/tex]
[tex]\boxed{\text{Mark}: -7-(-4)}[/tex]
[tex]\boxed{\text{Tess}: -1-(-7)}[/tex]
The expression of Indi's card is 2 - 3 = -1
The expression of Mark's card is -7 - (-4) = -7+4= -3
The expression of Tess's card is -1 - (-7) = -1+7= 6
(8
10-7) - (-6.25 • 10-2)
Answer:
362
(8
10-7) - (-6.25 • 10-2)
Answer ASAP please!
Which of the following statements is correct?
A :sin 42° = cos 52°
B:sin 90° = cos 90°
C:cos 30°= sin 70%
D:sin 80º = cos 10°
E:cos 60°= cos 30
Answer:
D
Step-by-step explanation:
A. Sin 42=0.669
Cos=52=0.617
B. Sin 90=1
cos 90=0
C. cos30=0.866
sin 70=0.940
D. sin80=0.985
cos 10=0.985
URGENT PLEASE ANSWER !!
Answer:
(C) [tex]y = 2x+5[/tex]
Step-by-step explanation:
Looking at this graph, we can see that the slope of it is 2. We know this because for every time x increases by 1, y increases by 2.
We also know that the y-intercept of this graph is 5, since it intercepts the y-axis at the value 5.
We can easily create an equation with this info.
[tex]y = 2x + 5[/tex].
Hope this helped!
Answer:
C. y= 2x+5
Step-by-step explanation:
y=mx+b
(+b) is y- intercept
(mx) is the slope.
plot the y- intercept first which the line starts at (0,5)
since the slope isn't a fraction you turn it into one which would be
[tex] \frac{2}{1} [/tex]
A sequence starts at 200 and 30 is subtracted each time . 200 , 170, 140 ...
What are the first two numbers in the sequence that are less than zero ?
Answer:
-10 & -40
Step-by-step explanation:
the last number before you get to 0 when continuing the -30 trend is 20. 20-30= -10. Then to get the next number simply subtract 30 again to get -40. Therefore, your answers are -10 & -40.
Answer:
-10 and - 40
Step-by-step explanation:
If 30 is subtracted.
30×6= 180
200-180=20
20-30= - 10
-10-30= - 40.
.:the first two numbers less than zero are. - 10 AND - 40
Please answer this question now
Answer:
72°
Step-by-step explanation:
From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:
m < D = ½(ABC) = ½(AB + BC)
Thus,
[tex] 56 = \frac{1}{2}(AB + 40) [/tex]
Solve for AB
[tex] 56 = \frac{AB + 40}{2} [/tex]
Multiply both sides by 2
[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]
[tex] 112 = AB + 40 [/tex]
Subtract both sides by 40
[tex] 112 - 40 = AB + 40 - 40 [/tex]
[tex] 72 = AB [/tex]
Arc AB = 72°
What is the volume of a sphere with a radius of 49.5 in, rounded to the nearest tenth of a cubic inch?
Answer:
Below
Step-by-step explanation:
To find the volume of a sphere you can use this formula!
V = 4/3πr^3
Plugging in the values....
V = 4/3π(49.5)^3
V = 5.08047 × 10^5
V = 5.1 x 10^5 in^3
If you wanted to write this is standard form it would be
V = 508047 in^3
Hope this helps!
9. What is the area of the given triangle? Round to the nearest tenth. (1 point) A 7 cm 38° B 13 cm C Area = cm2
Answer:
Area = 13.5 cm^2
Step-by-step explanation:
When we know 2 sides and the included angle
the area is =(½)ab sin C
where a and b are the side lengths and C is the angle between them
Area = 1/2 ( 13*7) sin 38
Area = 13.48477
Rounding to the nearest tenth
Area = 13.5 cm^2
A compression takes place when 0 1.
True
False
Answer:
i think it is true
Step-by-step explanation:
u4gent help needed
help me with the question of o.math
Answer:
1≤f(x)≤5
Step-by-step explanation:
-1≤x≤1
-2≤2x≤2 (Multiplied by 2 both side)
-2+3≤2x+3≤2+3 (Adding three both sides)
1≤f(x)≤5
What the answer question
Answer:
Surface area = 373.66Step-by-step explanation:[tex]T.S.A = \pi r(r+l)\\l = 10mm\\r = 7mm\\\\T.S.A = 3.14 \times 7(7 + 10)\\= 21.98(17)\\T.S.A = 373.66\\\\T.S.A = 373.66[/tex]
If y varies directly as x and z, and Y=40 when x =5 andz = 4, find y when x=2 and z = 1
Pls answer it ASAP
Answer: When x=2 and z = 1, then the value of y =4.
Step-by-step explanation:
Given: y varies directly as x and z i.e. [tex]y\ \alpha \ xz[/tex]
[tex]y=k(xz)[/tex] (i) , where k is the proportionality constant.
Put Y=40 ,x =5 and z = 4, then we get
[tex]40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2[/tex]
Required equation: [tex]y=2(xz)[/tex] [Put value of k in (i)]
Now put x=2 and z = 1, then we get
[tex]y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4[/tex]
Hence, when x=2 and z = 1, then the value of y =4.
$4.50 per 1 Kilogram
How many kilograms can you buy with $10
Answer:
2.23kg
Step-by-step explanation:
If you can get 1 kg for $4.50. You can perform a ratio to find out how much you get for $10.
1/4.50=x/10
.2222222=x/10
multiply the 10 on both sides
x=2.23 kg for $10
Which of the following represents the set in words?
{x | x ≤ 0}
all negative integers
None of these
all positive integers
all negative real numbers
all positive real numbers
Answer:
It's actually: None of these.
Think about it: In this case we have an inequality, of x ≤ 0.
This basically means, that x can be less than OR equal to 0.
But 0 is neither negative or positive, so we can eliminate the following answer choices:
- all positive integers
- all negative real numbers
- all positive real numbers
- all negative integers
And we are left with "None of these"
Let me know if this helps!
Option B is correct. None of these options is the right answer since zero is neither an integer nor a real number
Before we can decide which option is correct, first we must integers and real numbers are.
Integers are whole numbers. They can either be positive and negative.Real numbers are numbers that are both whole numbers and fractions.zero is neither positive nor negative integerGiven the set of numbers {x | x ≤ 0}. The set of numbers in the set will be all integers less than zero including zero (zero is not an integer)
Hence the set of numbers are not all negative integers since 0 is not a negative integer.
They are not all positive integers rather they are mostly negative integers
They are not all positive and negative real values because zero is not a real integer.
Hence we can conclude that None of the options is correct.
Learn more here: https://brainly.com/question/2691012
If a coin is flipped five times and a head comes up two times, what is the relative frequency of head coming up? A) 0.40 B) 0.20 C) 0.60 D) 0.80
Answer:
A) 0.40
Step-by-step explanation:
5 goes into 100, 20 times. Each coin flip is equal to 0.20, so 2 heads would be 0.40.
Relative frequency of heads coming up is 0.40
Given,
Flipping of coin 5 times .
Here,
The probability of head and tail coming in a single flip of coin is equal .
P(H) = P(T) = 1/2
Thus there are equal number of chances for head and tail .
Here,
Two heads are coming in the flip of five times .
So,
Two heads will be coming up as
0.20 * 2
= 0.40
Know more about probability,
https://brainly.com/question/31828911
#SPJ4
two similar cups are 3 cm and 5 cm deep if the larger cup
s hold 675 cm cube of water what is the volume of the smaller one
Answer:
145.8
Step-by-step explanation:
l.s.f for the two is 3:5
volume scale factor will be 3³:5³ which us 27:125
so 27×675 / 125
= 145.8