Answer:
The general form of an exponential function is
.... (1)
Where, a is initial value and b is growth or decay factor.
If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.
The given function is
.... (2)
From (1) and (2) it is clear that
The value of a is 6. It means the initial value or y-intercept of the function is 6.
The value of b is 0.4, which is less than 1. It means the function is a decreasing function.
Let x be the following values: 1, 2, 3, 4 , 5.
Let f(x) = y.
I will do one only.
Let x = 1
y = 6•(0.4)^(1)
y = 6•(0.4)
y = 2.4
Your first point is (1, 2.4).
Do the rest in like manner. Then graph each point on the xy-plane and lastly connect each point with a smooth curve.
Got it?
Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the dough so that the probability your cookie contains no chip is 0.02?
Answer:
391 chips
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(X = k) = (e^(-λ) × λ^(k))/k!
Let n be the number of chips she puts in the dough.
Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.
So, λ = n/100
Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.
Thus;
P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02
This gives;
e^(-λ) = 0.02
Putting λ = n/100, we have;
e^(-n/100) = 0.02
-n/100 = In 0.02
-n/100 = -3.912
n = -100 × -3.912
n ≈ 391 chips
Write and equation in standard form of the line shown.
m=5
b=0
y=5x+0
trust me
Help me please please
Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°
Answer:
Last option is the correct answer.
[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex]
Step-by-step explanation:
Since, 61° + 57° + 61° = 179° < 180°
Therefore,
[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex] cannot be the measurements of triangle ABC.
The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 13.14 ounces? (b) A sample of 36 cartons is randomly selected. What is the probability that their mean weight is greater than 13.14 ounces?
Answer:
The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 oun
Dorian posted two online videos on the same day. The total number of views for Video A after t days can be modeled by the equation v = 12t. The total number of views for Video B after t days is shown by the graph. Which statement is true?
Answer: C The rate of change for the function for video a is constant but the rate of change for video b is not constant
Step-by-step explanation:
Each axis on a graph should be:
labeled
equal
numbered
vertical
Answer:
labeled is the answer your looking for
Amanda’s dog eats 12 1/3 pounds of dog food in 4 2/7 weeks. How much does her dog eat per day?
Answer:
the dog eats 2.8 pounds of dog food per day
Step-by-step explanation:
Is 5/20 a rational number
Answer:
yes because it is written as a fraction
Answer:
Yes it is.
Step-by-step explanation:
5/20 is the fraction we're starting off with. let's make it into a decimal. 20x5 is 100, and 5x5 is 25. So the fraction we have now is 25/100, which is similar to .25. .25 is a rational number since it represents the fraction, ratio 25/100. Both 25 and 100 are integers.
Is this a linear pair? Does it share a common side?
Answer:
Yes, Yes
Step-by-step explanation:
In Oscar's grade, 70 students are enrolled in health and 30 students are not. What
percentage of the students in the school are enrolled in health?
Write your answer using a percent sign (%).
Answer:
70%
Step-by-step explanation:
Step 1:
70 + 30 = 100 Add
Step 2:
Total of 100 Students
Step 3:
70/100 Divide
Answer:
70%
Hope This Helps :)
Answer:
70% of the students are enrolled in health class.
Step-by-step explanation:
We are given that there are 70 students enrolled in health and that 30 are not. Therefore, we need to determine the total number of students in Oscar's grade.
[tex]70 + 30 = 100[/tex]
Oscar has 100 students in his grade. If 70 of those students are enrolled in health, we can divide those students by the total number of students and convert our fraction to a decimal and then a percentage.
[tex]\displaystyle\frac{70}{100} = \frac{7}{10} = 0.7\\\\0.7 \times 100 = 70\%[/tex]
Therefore, 70% of the students are enrolled in health class.
y-4=-x+7 in standard form.
Answer:
Step-by-step explanation:
x + y = 11
Please help I’ll number 12!
Answer: y = -3/4x - 0.75
Step-by-step explanation:
The slope needs to be negative so that it's perpendicular to
y = 3/4x - 1
The equation then looks like this
y = -3/4x
We can get an exact y intercept number by using the cordinates
Lets input cordinates (3,-3)
-3 = -3/4(3)
-3 = -2.25 - 75 ( I inferenced )
-3 = -3
now that we got the y intercept lets put it all together
y = -3/4x - 0.75
1.The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000. What is the probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?The mean of the sampling distribution of sample of means is $52,000 or $54,000 and the standard deviation is Select an answer $625 or $5000 . 2, The z-score for this problem is Select an answer .4 or -.4 or 3.2 or -3.2 . 3.What is the probability of that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?A) .0007B) .9993C) .3446D) .6554
Answer:
1
Step-by-step explanation:
The value of z-score will be –0.4. Then the correct option is B. The probability will be 0.34458. Then the correct option is C.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.
The probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000 will be
The mean of the sampling distribution of sample of means is $54,000 and the standard deviation is select an answer $5000.
Then the z-score will be
z = (52000 – 54000) / 5000
z = –2000 / 5000
z = –0.4
Then the correct option is B.
Then the probability will be
P(x < 52000) = P(z < 0.-4)
P(x < 52000) = 0.34458
Then the correct option is C.
More about the z-score link is given below.
https://brainly.com/question/15016913
#SPJ2
Due to an important situation Krish is in need of Dh. 8000 . He has two ways to fulfil his need
Way 1:- withdraw money using his credit card . He has to pay Dh 4000 as interest after 5 years. Assume that he didn’t repaid the amount before 5 years.
Way 2:- Take a loan of Dh 8000 from bank for 3 years at 10% rate of interest . (Krish will not pay money before the 3 years.)
A) What do you suggest which one is the best option? Explain through calculation
B) How can you decrease the interest on a loan of Dh3000 financed for a period of 5
years?
SELECT ALL THAT APPLY
a. Add more to the principal
b. Take out a loan to the lower interest rate.
c. Decrease the number of years
d. Increase the number of years.
HOW WILL YOU DEAL WITH YOUR NEGATIVE ATTITUDES? ???
Answer:
I usually try and practice changing my mindset. Just try to look at things from another perspective, and if you can't, try thinking the OPPOSITE of what you thought.
Think homework is hard? Say to yourself, "Homework is easy." and trudge on through. After some time, your mindset *will* improve, and your attitudes will change from negative to positive.
Also, try to go out more often. Doing exercise, socializing, all of which will produce serotonin and will improve your outlook on life and attitude.
Step-by-step explanation:
Thanks, and please give me Brainliest!
Mr Kumar bought a car for $5,000
During the first year, its value depreciated by 20%. What was the value of the car after one year?
A $1,000
B $4,000
C $4,500
D $6,000
Answer:
b
Step-by-step explanation:
20% of 5000 is 1000 so 5000-1000=4000
Answer:
the answer is A trust me its right
the product of 45/87 and --9/10 is
Answer:
0.4655172413793
Step-by-step explanation:
45/87 ×-9/10 i
405÷870
0.4655172413793
Solve each inequality
please help if you're good with algebra!!
Answer:
1. [tex]x>6[/tex]
2. [tex]b<-24[/tex]
3. [tex]w>7[/tex]
4. [tex]s\leq 7[/tex]
5. [tex]g\leq 20[/tex]
6. [tex]f<11[/tex]
7. [tex]m<-14[/tex]
8. [tex]p\leq 9[/tex]
Step-by-step explanation:
9. [tex]c>-4[/tex]
10. [tex]y\leq -9[/tex]
11. [tex]t\leq 10[/tex]
12. [tex]k\geq 18[/tex]
13. [tex]x<-4[/tex]
14. [tex]c<24[/tex]
15. [tex]m\geq -3[/tex]
16. [tex]n<21[/tex]
2. Soive: (14x - 8) - 2(3x - 6)
a. 8x + 4
b. 20x + 4
19x + 14
d. 8x - 20
Answer:
A
Step-by-step explanation:
Distribute the -2 into (3x-6)
combine like terms!!
8x+4
Answer:
A.) 8x + 4
Step-by-step explanation:
12.) At a bowling alley, there is a $5.00 fee for renting shoes. It costs $1.25 for each game bowled. If you have $10 have many games can you bowl?
A.7 games
B.4 games
C.2 games
D.5 games
If the length of a rectangular playground is represented by the expression 2x - 3, and the width is represented by 5x + 9, what expression represents the area of the playground. Leave your answer in standard form. Show all work.
Answer:
The expression for area of rectangle in standard form is: [tex]10x^2+3x-27[/tex]
Step-by-step explanation:
The area of rectangle is given by:
[tex]Area = Length * Width[/tex]
Here, in the question, we are given length and width of the rectangle
Length = 2x-3
Width = 5x+9
The area of the rectangle will be:
[tex]Area = (2x-3)(5x+9)\\= 2x(5x+9)-3(5x+9)\\= 10x^2+18x-15x-27\\= 10x^2+3x-27[/tex]
Hence,
The expression for area of rectangle in standard form is: [tex]10x^2+3x-27[/tex]
I WILL BRAINLEST THE FIRST CORRECT PERSON TO ANSWER THIS * view image*
Answer:
11 22 333 444 66% 88 have a blessed day and get 100% ok
Step-by-step explanation:
Not a question, but a suggestion.
If your currently under recome learning, USE MATHPAPA INEQUALITY CALCULATOR. I love using it, when having a hard time help a rek.
Hope this helps, have a good holiday!
Answer:
thank you! you too
Answer:
Nice thanks for the tip! (and the free points) Have a good holiday to urself too!
Step-by-step explanation:
I need help on this please!!!
Answer:
Step-by-step explanation:
1. False D' is in quad 4
2. True it is reflected about the y axis. That puts it in 3. If it was rotated about the x axis, it would be in quad 1
3. As long as there is no point going through the origin, then the statement in 3 is true. You have to understand that in quad 4 all y values are minus.
4. False. If D was entirely contained in quad 2, then in quad 3 the x values will be minus. As a matter of fact, so will the y values.
Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 675 to 695 nm. What is the mean, ?, and variance, ?2, of the wavelength distribution for this radiation? Round your answers to one decimal place.
mean, ? =
variance, ?2 =
Answer:
Mean=685
Variance=36.7
Step-by-step explanation:
The mean of uniform discrete distribution can be expressed as the average of the boundaries
mean=( b+a)/2
The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.
σ²=[(b-a+1)^2 - 1]/12
We were given the wavelength from from 675 to 695 nm which means
a= 675, b= 695
We can now calculate the mean by using the expresion below
mean=( b+a)/2
Mean=( 675 + 695)/2
=685
The variance can be calculated by using the expression below
σ²=[(b-a+1)^2 - 1]/12
σ²=[(695-675+1)^2 -1]/12
σ²=440/12
σ²=36.7
Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively
I would really appreciate it if someone could answer and explain this problem thanks :)
Answer:
it is A
Step-by-step explanation:
Vertical angles are angles that are opposite eachother
What vertical line (V) and horizontal line (H) intersect at point B?
Find n and r 10 points
Answer:
i think i can see the picture
Step-by-step explanation:
Donte simplified the expression below.What mistake did Donte make?