the hmmm cheap way to go about is, usually using the x = 1 and x = 0 pairs.
[tex]y = ab^x\hspace{5em} \begin{array}{|rr|ll} \cline{1-2} x&y\\ \cline{1-2} -2&1\\ -1&3\\ 0&9\\ 1&27\\ 2&81\\ \cline{1-2} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=9 \end{cases}\implies 9~~ = ~~ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27~~ = ~~9b^1\implies \cfrac{27}{9}=b^1\implies 3=b~\hfill \underline{y=9(3)^x}[/tex]
A particular tree falls over in a bonsai forest and is considered to be an average tree (in the middle 20%). If the mean height is 10cm and the standard deviation is 2 between what heights must the tree be?
Using the normal distribution, it is found that the tree must have heights between 9.49 cm and 10.51 cm.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 10, \sigma = 2[/tex]
Considering the symmetry of the normal distribution, the middle 20% is between the 40th percentile(Z = -0.253) and the 60th percentile(Z = 0.253), hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.253 = \frac{X - 10}{2}[/tex]
X - 10 = -0.253 x 2
X = 9.49.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 10}{2}[/tex]
X - 10 = 0.253 x 2
X = 10.51.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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Answer:
D. It takes them more time to deliver packages because 157.3 x 1.25 = 196.625
Step-by-step explanation:
In the question, it states that this week it took the delivery drivers 1.25 times longer to deliver packages than last week, meaning that it took more time to deliver the packages this week than last week. With this, we can eliminate choices A and C.
Because it took them 1.25 times longer, then we can multiply 157.3 by 1.25 to find the correct sum.
157.3 × 1.25 = 196.625
The only answer choice that matches this information completely is choice D, so that is the answer.
hope this helps!
The hcf of 182 and x is 26 and the l.c.m of 182 and x is 1092 determine the value of x
The value of x such that the hcf is 26 and the l.c.m is 1092 is 156
How to determine the value of x?The numbers are given as:
182 and x
The HCF and LCM are given as:
HCF = 26
LCM = 1092
As a general rule;
The product of LCM and HCF of x and y equals the product of x and y
So, we have:
182 * x = 26 * 1092
Divide both sides by 182
x = 156
Hence, the value of x is 156
Read more about HCF and LCM at:
https://brainly.com/question/26431349
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Calculate the price of melons if melons cost $2.35 a pound and the melon on the scale weighs 2.2 pounds, making sure to round your answer to the nearest cent.
A population of bees is decreasing. The population in a particular region this year is 1250. After year 1, it is estimated that the population will be 1000. After 2 years, it is estimated that the population will be 800.
How many years will it take for the bee population to be below 100?
Answer:
5 years
Step-by-step explanation:
1250 => 250 1000 => 300 800 => 350 450. => 400 50.
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equation?
y= 4/3x+7
A. y= -3/4x+14
B. y= -3/4x+ 8
C. y= 4/3x+ 7
D. y= 4/3x-15
Answer:
the answer is A ..............
The sum of 1/2 and y is equal to 3/4. Enter the equation that represents the description
Answer:
1/2 + y = 3/4Step-by-step explanation:
The sum of 1/2 and y is equal to 3/4.
The equation to represent this is:
1/2 + y = 3/4A shoe box is covered with packing paper before being shipped. The paper costs $0.02 per square inch. How much will it cost to cover three shoe boxes?
which set of ordered pairs represents a function
Answer:
A is correct{(-4,4),(-2,4),(1,4),(5,4)}
Need help please hurry.IF ABC~DEF find the value of x and y.
ANSWER :
∠D = y = 65 and ∠F = x = 45
Step-by-step explanation:
root 8-3 root 32 + 4 root 50
Answer:
[tex]10\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{8} -3\sqrt{32} +4\sqrt{50}[/tex]
We can try to simplify first.
[tex]2\sqrt{2}-12\sqrt{2} +20\sqrt{2}[/tex]
Now we can combine the like terms:
[tex]= 10\sqrt{2}[/tex]
hope this helped! :)
Which mass is least 1500 mg, 13.2 kg, 30000 cg, 7428g
Answer:
1500 mg is the least mass
Step-by-step explanation:
Lets convert them all to the same mass unit,
1500 mg to grams: 1500 mg / 1000 = 1.5 grams
13.2 kg to grams: 13.2 kg x 1000 = 13,200 grams
30000 cg to grams: 30,000 cg / 100 = 300 grams
7428g no conversion needed!
1.5 grams, 13,200 grams, 300 grams, 7,428 grams
1.5 is the smallest number
Select all ordered paris that satisfy the function,
y = -3x + 9
A. (-2, 15)
B. (1, -6)
C. (3, 0)
D. (6, 1)
Answer:
(-2,15) (3,0)
Step-by-step explanation:
By substituting the x value in the coordinate (the first number in the bracket) and solving the equation, you must get the y value in the coordinate (second number in the bracket.
So that is to say:
A
y= -3x + 9
y = -3(-2) + 9
y = 6 + 9
y= 15
Also note that B is not one of them, because the y value you get when you substitute the x value in the equation is NOT NEGATIVE 6.
What percentage is 650 m to 4 km.
Answer: 16.25%
Step-by-step explanation:
Change
650m = 0.65 km
Convert into percentage 0.65/ 4 x 100 = 16.25
Write the inequality graphed on the number line.
-3 3
Answer:
c
Step-by-step explanation:
i took the test
What is the mean of the data on the dot plot? ( Round to the nearest hundredth)
Answer: 100
Step-by-step explanation:
Answer answer please
Answer:1 4/16
Step-by-step explanation: Theres 1 circle thats all shaded so thats a whole then you got the other circle and thats shaded 4.
Answer:
A
Step-by-step explanation:
the circle with all the yellow is a whole so that is 1 the circle with only 4 in yellow is 4 right now we have 1 and 4, then you will count the circle thats NOT FULL and you will get 16. so the answer is 1 4/16
A cube has a surface area of 181.5sq. In. What is the length of the sides
Answer:
Answer = 5.5
Step-by-step explanation:
The formula for finding the surface area of a cube is SA = 6(s^2) where s = sides. Since we know the surface area we plug it in for SA. So,
181.5 = 6*s^2
Now we divide 6 by both sides to get
30.25 = s^2
Now we have to find the square root of both sides to get
5.5 = s
Hope that helps! :)
What is the awnser to 1x1?
Answer:
1
:)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
because you do 1 by its self
like
1 x 2 = 1 + 1 = 2
if you were doing 1 x 1
1 + 0 = 1
you would add 0 because there's not another number
 A submarine is at an elevation -100 feet( 100 feet below sea level) let’s compare the elevation of these for people to that of the submarine .
302.1 in a fraction form
Answer:
302 1/10 is our fraction form more known to be a mixed number.
Step-by-step explanation:
Fraction form from decimal is to keep our 302 and make .1 a fraction.
This is because we already have a base/whole number and just need a fraction to make this decimal an improper fraction. 0.1 is equivalent to 1/10 because in order to get to 0.1 you need to move the decimal point 1 digit to the right. You could also do 1 divided by 10.
302 1/10 is our fraction form more known to be a mixed number.
Which one of the following histograms represents the data in the table below?
Answer:
see below
Step-by-step explanation:
C
Because the first day reaches up to 8 in c, while all the others don't
pls help i will give brainliest and 5 stars
Answer:
See attached diagram
Step-by-step explanation:
See attached picture....I assumed -3% was really just -3
Select the correct answer.
Consider the function f(x) = 3x and the function g, which is shown below.
g(s) ft
= () – 2 = 3+ – 2
How will the graph of g differ from the graph of f?
OA
The graph of g is the graph of fshifted 2 units up.
B.
The graph of g is the graph of fshifted 2 units to the left.
C.
The graph of g is the graph of fshifted 2 units to the right.
D.
The graph of g is the graph of fshifted 2 units down.
Answer:
D. The graph of g is the graph of f shifted 2 units down.
Step-by-step explanation:
Transformations
f(x) - a : vertical shift of "a" units down
f(x) + a : vertical shift of "a" units up
f(x - a) : horizontal shift of "a" units to the right
f(x + a) : horizontal shift of "a" units to the left
If g(x) = f(x) - 2
Then g(x) is f(x) shifted 2 units down.
this one's tricky and i need some help 20 points
Answer:
It's b, 54, because that makes the sum.
17% of students in a class have brown hair. If 6 students are chosen at random, what is the probability that exactly 3 have brown hair? (Write your answer as a percentage rounded to the nearest tenth.)
Answer:
6.8%
Step-by-step explanation:
the question has no information about class size (no. of student in class)
assume no. of student is infinite
P(3brown out of 6) = 6C3 * P(brown)^3 * P(not brown)^3
= 20 * 0.004913 * 0.695789
= 0.06837
Boundary of a circle.
A. Center
B. Chord
C. Radius
D. circumference
If a quadrilateral is inscribed in a circle then opposite angles are:.
Answer:
Step-by-step explanation:
Theorem
An inscribed quadrilateral is one where all four angles touch the circumference of the circle containing those 4 angles.
The opposite angles can be shown to be supplementary (that is equal to 180 degrees)
Answer: Supplementary
Question 7 of 25
What is the solution to this equation?
3x - 5+ 2x = 25
A. x= 30
B. x = 20
C. X= 4
D. X= 6
SUID
PLEASE HELP ASAP WILL GIVE BRAINLIEST AND 5 STARS