Answer:
x intercept is (33,0)
y intercept is (0, 11)
Step-by-step explanation:
x-intercepts are found when y=0
x + 3(0)=33,,, x=33
y-intercepts are found when x=0
0 + 3y= 33,,, y=11
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.y=69(0.92)
x
9514 1404 393
Answer:
decay; 8% decrease per time period
Step-by-step explanation:
The growth factor is the base of the exponential term. The growth rate is 1 less.
growth rate = 0.92 -1 = -0.08 = -8%
When the growth rate is negative, it is exponential decay withe the amount of decrease equal to the magnitude of the rate.
A growth rate of -8% represents exponential decay, with a decrease of 8% per time period.
According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or younger have a food allergy. A day care program has capacity for 8 children in that age range. Assume that the children attending the day care program are independent. Let the random variable X be the number of children in this day care who have a food allergy. What is the probability that one of the eight children has a food allergy
Answer:
0.337 = 33.7% probability that one of the eight children has a food allergy.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
7% of U.S. children 4 years of age or younger have a food allergy.
This means that [tex]p = 0.07[/tex]
A day care program has capacity for 8 children in that age range.
This means that [tex]n = 8[/tex]
What is the probability that one of the eight children has a food allergy?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337[/tex]
0.337 = 33.7% probability that one of the eight children has a food allergy.
5 tenths + 8 hundreths
Answer:
50,800
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
may you guys help :)
Answer:
its the last one (d)
Step-by-step explanation:
can someone help me
Answer:
Step-by-step explanation:
The base is 4 and the length is 8 b x l 8×4 =32
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 91', what is the
measure of ZQRS?
mZQRS = [?]°
Answer:
Solution given:
<ABC and <QRS are supplementary angles.
<ABC = 91°
we have
<ABC +<QRS=180°[supplementary]
<QRS=180°-91°=89°
m<QRS=89°
8th Algebra
Which of the following correlations would be an example of causation?
Question 1 options:
A. a positive correlation between the number of prisons in an area and the number of hospitals in that area
B. a positive correlation between the number of hours spent studying and the grade earned on a test
C. a negative correlation between the number of cell phones sold per year and the number of people born per year
D. a negative correlation between the amount of ice cream sales and the number of crimes committed in a city
Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...
Answer:
44x + 54
Step-by-step explanation:
The nth term of an arithmetic sequence is given by :
Tn = a + (n - 1)d
d = common difference = T2 - T1
d = T2 - T1
a = first term = - x + 9
d = 4x + 14 - (-x + 9)
d = 4x + 14 + x - 9
d = 5x + 5
The 10th term:
T(10) = (-x + 9) + (10 - 1)*(5x + 5)
T(10) = - x + 9 + 9(5x + 5)
T(10) = - x + 9 + 45x + 45
T(10) = 44x + 54
Hence, the 10th term is 44x + 54
Find the exact (leave pi) and the approximate ( pi = 3.14 ) circumference for each circle
(#s A-F ONLY)
Answer/Step-by-step explanation:
a. Circumference (C) = πd
d = 12 cm
π = 3.14
Exact value of C = π*12 = 12π cm
Approximate value of C = 12*3.14 = 37.68 cm
b. Circumference (C) = πd
d = 8 m
π = 3.14
Exact value of C = π*8 = 8π m
Approximate value of C = 8*3.14 = 25.12 m
c. Circumference (C) = πd
d = 6 km
π = 3.14
Exact value of C = π*6 = 6π km
Approximate value of C = 6*3.14 = 18.84 km
d. Circumference = πd
d = 9 ft
π = 22/7
Exact value of C = π*9 = 9π ft
Approximate value of C = 9*22/7 = 28.2857143 ≈ 28.29 ft (nearest hundredth)
e. Circumference = 2πr
r = 4 mm
π = 22/7
Exact value of C = 2*π*4 = 8π mm
Approximate value of C = 2*22/7*4 = 25.1428571 ≈ 25.14 mm (nearest hundredth)
f. Circumference = 2πr
r = 7 mi
π = 22/7
Exact value of C = 2*π*7 = 14π mi
Approximate value of C = 2*22/7*7 = 44 mi (nearest hundredth)
suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x > or = 93)?
The value of P(X ≥ 93) when X pertains a normal distribution with mean of 79 and standard deviation of 7 is 0.0228
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, we're specified that:
X pertains a normal distribution with mean of 79 and standard deviation of 7, symbolically, we have:
[tex]X \sim N(\mu = 79, \sigma = 7)[/tex]
The needed probability is P(X ≥ 93)
Converting X to standard normal variate makes us evaluate this probabiilty as:
[tex]Z = \dfrac{X -\mu}{\sigma} \sim N(0,1)\\\\P(X \geq 93) = 1 - P(X < 93)\\\\P(X \geq 93) = 1 - P\left (Z < \dfrac{93-79}{7}\right)\\\\P(X \geq 93) = 1 - P(Z < 2)[/tex]
The p-value for Z = 2 (from the z-tables) is found to be 0.9772
Thus, we get:
[tex]P(X \geq 93) =1 - P(Z < 2) = 1 - P(Z \leq 2) = 1 - 0.9772\\P(X \geq 93) = 0.0228[/tex]
Learn more about standard normal distribution here:
https://brainly.com/question/10984889
determine if function. HELLPPP If you awnser correctly i will try and give you a brainlyyyy. Also which one do I feel out in the bottom?
9514 1404 393
Answer:
(b) Function; The table follows the specific rules for being a function.
Step-by-step explanation:
The specific rule the table follows is that no input value is repeated. That is the only requirement for the relation to be a function.
Find tan 0.
(Lots of points if correct)
Answer:
Your answer is 15/8
help please, asap. i need this done
Answer:
42
Step-by-step explanation:
14/2= 7
21/3=7
6 x 7 = 42
what is solution to
12²-5²
Answer:
119.
Step-by-step explanation:
12x12 is 144
5x5 is 25
144-25 = 119
A store stocked 150 cans of popcorn for a weekend sale. That Weekend, 99 of the cans sold. What percentage of cans of popcorn stocked were unsold that weekend?
Answer:
34%
Step-by-step explanation:
99/150 = 0.66
1.00 - 0.66 = 0.34
34%
Answer:There is 48% of cans
HELP PLEASE I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!
A bacteria colony doubles every 40 minutes. If the colony contains 10 bacteria at noon, how many bacteria are present at 6 pm?
A.180
B.512
C.810
D.900
E.5120
Answer: E
noon to 6 pm is 6 hours which is 360 minutes
divide 360 by 40 to get the number of times it doubles which is 9 times so it’ll be 2 to the ninth power (2 is there since your doubling the number of bacteria)
multiply that by 10 since that was how many bacteria there was at the beginning
10 x 2^9 = 5120
5120 bacteria will be there at 6 PM.
This question is an example of geometric progression, in which a bacteria colony has growing population that is multiplying itself at constant rate. The geometric progression is defined by this expression:
[tex]n (t) = n_{o} \cdot r^{\frac{t}{\tau} }[/tex] (1)
Where:
[tex]n_{o}[/tex] - Initial population, no unit.[tex]r[/tex] - Growth rate, no unit.[tex]t[/tex] - Time, in minutes.[tex]\tau[/tex] - Time factor, in minutes.If we know that [tex]n_{o} = 10[/tex], [tex]r = 2[/tex], [tex]\tau = 40\,min[/tex] and [tex]t = 360\,min[/tex], then the population of bacteria at 6 PM is:
[tex]n(360) = 10\cdot 2^{\frac{360}{40} }[/tex]
[tex]n (360) = 5120[/tex]
5120 bacteria will be there at 6 PM.
We kindly invite you to check this question related to geometric progression: https://brainly.com/question/24540317
At 1am the temperature was -6°C. At 5am it was -1°C. If the temperature
continues to rise steadily, what will the temperature be at 9am?
Answer:
4 temp at 9 am
Step-by-step explanation:
At 1am temp=-6
At 5am temp=-1
5-1=4 hours and temp difference is -6+1=-5
so at 9 am temp will be -1+5=4
1. What is the solution to the system?
[1] x + y + z = 2
[2] 2x + y - Z=-1
[3] X= 5-2z
A. (2, -1, -2)
B. (2, 1, -1)
C. (2,-1,5)
D. (1, -1,2)
Answer:
D.(1, -1, 2) hope this helps
the spinner is divided into 12 equal sectors. What is the possibility of not spinning a 2?
Answer:
11/12
Step-by-step explanation:
I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.
Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
Please help
Me ??!!! I need help
Please
Answer:
r=-45
Explanation:
r/5=-9
5xr/5=5(-9)
5x r/5=5(-9)
r=5(-9)
r=5(-9)
r=-45
15 points
Triangle ABC has side lengths of 19 in, 12 in, and 25 in. Match each side
with its correct length. *
I will give brainliest ]. 28 POINTS !
Answer:aa
Q
Q
A
W
W
Q
Q
S
S
W
Q
W
W
W
W
Step-by-step explanation:
A
Dsjsjshshsjwbwsjwbwhsjwnwhwjwjwjwb
The algebraic expression for the sum of 5 and g?
Answer:
5 + g
Step-by-step explanation:
The sum of 5 and g,
5 + g
Could x = - 5 be a solution to the inequality
-6 < 3x + 9 < 21?
Step-by-step explanation:
[tex]3x + 9 = 3( - 5) + 9 \\ = - 15 + 9 \\ = - 6[/tex]
3x+9 is equals to -6 , not more than based on the inequality, but it is lesser than 21.
However, the solution must fulfil both criteria to be a solution to the inequality. Therefore x = -5 is not a solution to the inequality.
Write an equation for the line that passes through (0, -9) and (3, 0).
y = 3 x + 9
y = 3 x + 3
y = 3 x - 9
y = -9 x + 3
Answer:
y = 3x - 9
Step-by-step explanation:
1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:
[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]
So, the slope is 3.
2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.
Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.
525 divided 5 = what ? R ?
Answer:
105 R0
Step-by-step explanation:
Answer:
105, R=0
Step-by-step explanation:
525/5 = 105, no remainders in the answer as 525 is an exact multiple of 5
The population of China was about 1.39 billion in the year 2013with an annual growth rate of about 0.6\% . Find an equation P(t) that represents the growth function for China. Write your answer in the form a * (b) ^ 2 in billions Provide your answer below:
Answer: 1.39(1.006)^t
Step-by-step explanation:
The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
What is a Function ?A statement that relates two unknown parameters such that one is dependent on the other is called a function.
It is given that
Initial population = 1.39 billion in 2013
Growth Rate = 0.6%
Let a represent the initial population
b is the growth rate
and 2 be the elapsed year from 2013
and let the population at any given year is P(t)
Then the equation formed is
P(t) = a * bⁿ
P(t) = 1.39 * ( 1.006)ⁿ
Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
To know more about Function
https://brainly.com/question/21145944
#SPJ2
A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Select one:
BTW, BBB, TTT, WWW, BBT, BBW, TTB, TTW, WWB, WWT
BTW, BWT
TWB, TBW, BTW, BWT, WBT, WTB
TWB, BTW, WBT
If you don't answer, I'll report you!
1) you deposit $2,300 in a bank account. find the balance after 5 years for each of the following situations: is) the account pays 2.5% annual interest compounded monthly.
Answer:
Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.
But 5 years with interest you'd have 5750$ in the bank.
Step-by-step explanation:
With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.
With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.
5. A set of 9 books has 5,487 pages.
Estimate the number of pages in
each book, if each book has the
same number of pages.
