Answer:
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
Step-by-step explanation:
We do completing the square as follows:
1. Put all terms with variable on one side and the constants on the other side.
5x^2 - 3x = 25
2. Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other side we add 9/20.
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
4. We simplify as follows:
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
5(x - 3/10)^2 = 509/20
(x - 3/10)^2 = 509/100
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). The probability that X is between 1.48 and 15.56 is _____________. Write out the probability notation for this question.
Answer:
The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.
This means that [tex]\mu = 8, \sigma = 4[/tex]
The probability that X is between 1.48 and 15.56
This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So
X = 15.56
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.56 - 8}{4}[/tex]
[tex]Z = 1.89[/tex]
[tex]Z = 1.89[/tex] has a pvalue of 0.9706
X = 1.48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.48 - 8}{4}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.0516
0.9706 - 0.0516 = 0.919
Write out the probability notation for this question.
[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
Phillip writes the following equation to show how many hours h he needs to work to earn $108 at $12 per hour: h12=108. Is his equation correct? Explain.
Answer:
Yes
Step-by-step explanation:
He is correct because h which is how many hours he needs to work times $12 will give you $108 which is the total cost.
What's the inverse for -8x
Answer:
positive 8 i think
Step-by-step explanation:
-8=8
What is 5 with exponent of -3
Answer:
the answer is .008 if my math is correct
HELP NEEDED PLEASE HELP
There were some apples in a box. 12% of the apples were rotten.
There were 36 rotten apples in the box. How many apples were there
in the box?
Answer:
300
it is given that 12% were rotten
12% = 36
then let total no of apple be X
then , x*12/100 = 36
x= 36*100/12
x = 300
hence total apple were. = 300
hope it helps
The hanger image below represents a balanced equation.
30
26
g
Find the value of g that makes the equation true.
g=
Write an exponential equation with (1, 8) and (2,32)
Answer:
y=2(4^x)
Step-by-step explanation:
exponential equation in form y=ab^x
sub both point and solve
8=a(b^1)=ab...(1)
32=a(b^2)....(2)
equation (2)/(1):
32/8=b
b=4
a=2
O is:
rational
irrational
is it true or false that all whole numbers are natural numbers
Answer:it can very
Step-by-step explanation:
It depends on which definition of 'whole numbers' you use.
Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.
However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.
Answer:
every natural number is a whole number, but, every whole number is not a natural number.
Step-by-step explanation:
8. Which expression stands for "32 more than a number d"?
A 32 xd
B 32 - d
C 32 +d
D 32 = d.
Answer:
c
Step-by-step explanation:
This diagram shows a right cylinder. Recall that the area
of a circle Is A = 7r. What is the formula for the
volume of the cylinder?
o V = arh
o
V=
arh
2
O V = 2rh
h
V = 2h
what is the complement and supplement of 35 degrees
Answer:
it's compliment is 55 degrees (55+35 = 90 degrees)
it's supplement is 145 degrees (145 + 35 = 180 degrees)
Step-by-step explanation:
Line g has a slope of
Line ris parallel to line q. What is the slope of line r?
Simplify your answer and write it as a proper fraction, improper fraction, or integer? Please I need help!!
Answer:
45
Step-by-step explanation:
45
Solve for x. x^2 + 4x + 4 = 8
help me out i’ll give you the brainliest! :)
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
describe 3 fractions and explain your reasoning using full sentences?
Answer:
gbrggbtgrrbfrhrhhhhhthrghrjwhrhr
Step-by-step explanation:
g
g
g
g
gg
g
rwribfebrgvebisbvfdfjndfinfvijnijnvdiniwdiengueinrugbvhbigb
FOOOOOOOOOOOOOT YEEEEEEEEEEEEEET
A ladder leans against a brick wall. The foot of the ladder is 7 feet from the wall. The ladder reaches a height of 22 feet on the wall. What is the angle the ladder makes with the wall? (to the nearest tenth)
Answer: 17.7
Step-by-step explanation:
[tex]tan x = \frac{7}{22} \\tan x = .318181\\inverse tan of .3181818= 17. 65[/tex]
har says that ¼ of a cereal bar is larger than ⅓ of the cereal bar. Is he correct? Explain your thinking/reasoning.
3+(4x4+1)x2. Due tomorrow morning at 12:00!
he dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.
Alternative text
Use each data set to make an inference about the number of fish caught each day.
A.
On average, most participants caught and released 5 or more fish.
B.
More participants caught 6 fish than any other number.
C.
The same participants who caught and released 1 fish the first day caught and released 1 fish the second day.
D.
On average, participants caught and released more fish on Day 2.
Answer:
B
Step-by-step explanation:
More participants caught 6 fish than any other number.
We have given that,
The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.
What is the random sample?A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
More participants caught 6 fish than any other number.
To learn more about the random sample visit:
https://brainly.com/question/17831271
#SPJ2
-17-x=8 pls answer bc I'm deparet
Answer:
x= -25
Step-by-step explanation:
Do 8 plus 17=25
x must be positive so -25
What number must you add to complete the square?
x2 + 16x = 3
O A. 16
B. 36
O C. 64
O D. 72
What number must you add to x² + 16x = 3 to complete the square 64: Option C
What is a perfect square?You should be aware that a perfect square is a term that has two common factors
The given equation is x² + 16x = 3
To make the equation a perfect square, Add the square of half of the coefficient of s to both sides
This is to say that (16/2)² = 8² = 64
The equation becomes x²+16x+64 = 3+64
Then you can factorize the equation and simplify the right hand side
Learn more about perfect squares on https://brainly.com/question/385286
#SPJ1
Help does someone know the answer? I NEED IT NOW PLEASE
Point X is on a number line halfway between –5 and 11. Point Y
represents an integer that has the same absolute value as point X.
What integers could be represented by point Y?
please help asap
Answer:
[tex]y = 3[/tex] or [tex]y =-3[/tex]
Step-by-step explanation:
Given
x = midpoint of -5 and 11
y = absolute value of x
Required
Determine the value of y
First, calculate x.
[tex]x = \frac{1}{2}(-5 + 11)[/tex]
[tex]x = \frac{1}{2}(6)[/tex]
[tex]x = 3[/tex]
y can then be represented as:
[tex]|y| = x[/tex]
[tex]|y| = 3[/tex]
Split:
[tex]y = 3[/tex] or [tex]-y = 3[/tex]
[tex]y = 3[/tex] or [tex]y =-3[/tex]
What is the value of the expression (2)6 ?
Answer:
6x2 =12
Step-by-step explanation: when ever u see that just multiply
what is the answer to 4/5 x 5/8
Answer:
0.5
Step-by-step explanation:
I said soooosnsmmsmsms
ready readyup here we go
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
all the other ones are incorrect.
Find the coordinates of the midpoint of each segment with the given endpoints.
S(13,7) and T(-2, -7)
Answer:
This would be (5.5,0)
Step-by-step explanation:
Hope it helped!
Calculate the lateral surface area of the rectangular prism:
A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches.
What is the perimeter of the shape?
30 inches
40 inches
60 inches
72 inches
Answer:
40 B
Step-by-step explanation:
edge 2021
Explain in words please.
Answer:
I don't know what you mean by "explain in words", but I'm assuming you were referring to point b.
Step-by-step explanation:
You have to see that the rate of change, the "speed" at which her elevation decreases is 0.25 feet/s, such that in 8 seconds she went down by 2 feet.
Thus, until 50, you just gotta do the calculation for that speed. You notice that she needs to go 30 feet, at a speed of 0.25 feet per second, or 1 foot every 4 seconds.