Answer:
If there are 800 trees and 1/4 of them die to this disease.
Step-by-step explanation:
800=400x2=800/2=400 so 100/400 die so 200/800 die so in 4 years time the whole population will die.
Answer:
P(t)=800(3/4)^t
Step-by-step explanation:
Bill works as a waiter in his keeping track of the tips he earns daily. About how much does bill have to earn in tips on Sunday if he wants to average $22 a day
In a class full of men and women,
3
5
of the class are women. What is the ratio of men to women in its simplest form?
Answer:
2:3
Step-by-step explanation:
3/5 women, that makes men 2/5, and total 5/5
men to women
2:3
The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring, versus 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $40 and on an SST ring is $35?
Answer:
The combination that gives the most profit is 12 VIP rings and 12 SST rings (900 $/day).
Step-by-step explanation:
This is a linear programming problem.
The objective function is profit R, which has to be maximized.
[tex]R=40V+35S[/tex]
being V: number of VIP rings produced, and S: number of SST rings produced.
The restrictions are
- Amount of rings (less or equal than 24 a day):
[tex]V+S\leq24[/tex]
- Amount of man-hours (up to 60 man-hours per day):
[tex]3V+2S\leq60[/tex]
- The number of rings of each type is a positive integer:
[tex]V, \;S\geq 0[/tex]
This restrictions can be graphed and then limit the feasible region. The graph is attached.
We get 3 points, in which 2 of the restrictions are saturated. In one of these three points lies the combination of V and S that maximizes profit.
The points and the values for the profit function in that point are:
Point 1: V=0 and S=24.
[tex]R=40V+35S=40\cdot 0+35\cdot 24=0+840\\\\R=840[/tex]
Point 2: V=12 and S=12
[tex]R=40V+35S=40\cdot 12+35\cdot 12=480+420\\\\R=900[/tex]
Point 3: V=20 and S=0
[tex]R=40V+35S=40\cdot 20+35\cdot 0=800+0\\\\R=800[/tex]
The combination that gives the most profit is 12 VIP rings and 12 SST rings (900 $/day).
Find the median, and mode(s) of the data. 15, 4, 3, 12, 20, 12, 13
Answer:
median: 12 mode: 12
Step-by-step explanation:
to find the median arrange the number in ascending order and then find the one that's in the middle. to find the mode just figure out which number shows up the most
Answer:
they both are 12
100%
Step-by-step explanation:
Consider the polynomial function p(x) = 4x^8- 6x^7+ 3x^3- 10.
What is the end behavior of the graph of p?
Answer:
As x gets smaller, pointing to negative infinity, the value of p increases, pointing to positive infinity.
As x increases, pointing to positive infinity, the value of p increases, pointing to positive infinity.
Step-by-step explanation:
To find the end behaviour of a function f(x), we calculate these following limits:
[tex]\lim_{x \to +\infty} f(x)[/tex]
And
[tex]\lim_{x \to -\infty} f(x)[/tex]
At negative infinity:
[tex]\lim_{x \to -\infty} (4x^{8} - 6x^{7} + 3x^{3} - 10)[/tex]
When the variable points to infinity, we only consider the term with the highest exponent. So
[tex]\lim_{x \to -\infty} (4x^{8} - 6x^{7} + 3x^{3} - 10) = \lim_{x \to -\infty} 4x^{8} = 4*(-\infty)^{8} = \infty[/tex]
Plus infinity, because the exponent is even.
So as x gets smaller, pointing to negative infinity, the value of p increases, pointing to positive infinity.
At positive infinity:
[tex]\lim_{x \to \infty} (4x^{8} - 6x^{7} + 3x^{3} - 10) = \lim_{x \to \infty} 4x^{8} = 4*(\infty)^{8} = \infty[/tex]
As x increases, pointing to positive infinity, the value of p increases, pointing to positive infinity.
Answer:
A - As x -> infinity, p(x) -> infinity, and as x -> -infinity, p(x) -> infinity.
Step-by-step explanation:
One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average, 6 days. Your friend starts with no expectations as to whether drinking coffee will have any effect on cold duration. After seeing the results of the experiment, in which the average cold duration was less than 6 days, your friend tests a one-sided alternative about the population mean cold duration when drinking coffee,H0: μcoffee = 6Ha: μcoffee < 6She finds z = â1.68 with one-sided P-value P = 0.0465.What is the correct two-sided P-value for z = â1.68? Round your answer to 4 decimal places.
Answer:
Null hypothesis:[tex]\mu \geq 6[/tex]
Alternative hypothesis: [tex] \mu <6[/tex]
For this case after conduct the one lower tail test we got the following p value:
[tex] p_v = P(t <-1.68) = 0.0465[/tex]
And for this case if we want to conduct a bilateral test or two sided the sytem of hypothesis are:
Null hypothesis:[tex]\mu = 6[/tex]
Alternative hypothesis: [tex] \mu \neq 6[/tex]
And for this case the p value can be calculated like this:
[tex] p_v = 2* P(t <-1.68) =2* 0.0465= 0.0930[/tex]
Step-by-step explanation:
For this case we are trying to proof the following system of hypothesis:
Null hypothesis:[tex]\mu \geq 6[/tex]
Alternative hypothesis: [tex] \mu <6[/tex]
For this case after conduct the one lower tail test we got the following p value:
[tex] p_v = P(t <-1.68) = 0.0465[/tex]
And for this case if we want to conduct a bilateral test or two sided the sytem of hypothesis are:
Null hypothesis:[tex]\mu = 6[/tex]
Alternative hypothesis: [tex] \mu \neq 6[/tex]
And for this case the p value can be calculated like this:
[tex] p_v = 2* P(t <-1.68) =2* 0.0465= 0.0930[/tex]
A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?a) The additional training significantly increased the defect rate.b) The additional training significantly lowered the defect rate.c) The additional training did affect the defect rate.d) The additional training did not significantly lower the defect rate.e) None of these.
Answer:
d) The additional training did not significantly lower the defect rate
Step-by-step explanation:
Let proportion of defective chips be = x
Null Hypothesis [H0] : Additional training has no impact on defect rate x = 8% = 0.08
Alternate Hypothesis [H1] : Additional training has impact on defect rate x < 8% , x < 0.08
Observed x proportion (mean) : x' = 27 / 450 = 0.06
z statistic = [ x' - x ] / √ [ { x ( 1-x ) } / n ]
( 0.06 - 0.08 ) / √ [ 0.08 (0.92) / 450 ]
= -0.02 / √ 0.0001635
= -0.02 / 0.01278
z = - 1.56
Since calculated value of z, 1.56 < tabulated value of z at assumed 0.01 significance level, 2.33
Null Hypothesis is accepted, 'training didn't have defect rate reduction impact' is concluded
A flat object with two sides, one colored red (R), the other green (G), is tossed 2 times
Answer:
need more info
Step-by-step explanation:
need more info
what is the quotient 7^-6/7^2
Answer:
7 to the power of negative 8
Answer:
7^-8 = 1/5764801
Step-by-step explanation:
The appropriate rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
So, ...
7^-6/7^2 = 7^(-6-2) = 7^-8 = 1/5764801
A spinner has 5 equal-sized sections with different colors. You spin the spinner 50 times. The results are shown in the table. Find the theoretical and experimental probabilities of spinning blue.
Red Green Blue Yellow Orange
8 11 15 9 7
The theoretical probability is
.
The experimental probability is
.
Question 2
What do you think will happen to the experimental probability when you spin the spinner 400 times?
The experimental probability will stay the same.
The experimental probability will get farther from the theoretical probability.
The experimental probability will get closer to the theoretical probability.
Answer:
a) If the spinner is fair, then each color must have the same probability, this means that the probability for each color is the number of times that the color (in this case blue) is in the spinner divided the total amount of colors in the spinner, then the theoretical probability for each color is:
Pt = 1/5 = 0.20
The experimental probability can be found by dividing the number of times that the spinner landed on a given color (in this case for blue we have 15 times) divided the total number of spins ( 50)
Pe = 15/50 = 0.30
B) As we increment the number of spins, we should see that the experimental probability gets closer to the theoretical probability.
Which equation is the inverse of (x-4)2- ß-by-122
O y=6x2-3x+42
6x-
34
O y=4+ /6x-
34
O y=-4+ /6x-
0 -(x-4)2 -> --6y+12
Answer:
see below
Step-by-step explanation:
Interchange x and y, then solve for y.
[tex](x-4)^2-\dfrac{2}{3}=6y-12\qquad\text{given}\\\\(y-4)^2=6x-\dfrac{36-2}{3}\qquad\text{swap x,y; add 2/3}\\\\y-4=\pm\sqrt{6x-\dfrac{34}{3}}\\\\\boxed{y=4\pm\sqrt{6x-\dfrac{34}{3}}}[/tex]
in a football tournament at group stage there are five football teams in a group, Brazil, England, Scotland, Argentina and France. Each team plays every other team in their group. There are ten matches altogether. Two teams are picked at random to play the first match. Work out the probability that the first game will be played by a European team and a South American team.
Answer:
6/25
Step-by-step explanation:
Because england, scotland and france are european team and they make up 3/5 of all the teams, you multiply 3/5 by 2/5 because the south american teams are brazil and argentina which make up 2/5 of the total teams. So the probability that a european team will play a south american team is 3/5*2/5 which is 6/25
4¹²=4ᵃ‐3, what is the value of a?
Answer:
a = 15
Step-by-step explanation:
Perhaps your question is:
[tex] 4^{12}= 4^{a-3}[/tex]
If it is so then let us solve:
[tex] 4^{12}= 4^{a-3}[/tex]
Since, bases are equal hence exponents will also be equal. Therefore,
12 = a - 3
12 + 3 = a
a = 15
x2 -20x + y^2 - 10y+25=0
identify center of the circle and radius
Answer:
Center of the circle = (10, 5)
Radius = 10
Step-by-step explanation:
Look at the picture
What is the angle bec and the angle Abe?
Answer quick please!
70°
Answer:
160°
Step-by-step explanation:
[tex](3x - 5) \degree + (4x + 10) \degree = 180 \degree \\ (straight \: line \: \angle s) \\ (7x + 5) \degree = 180 \degree \\7x + 5 = 180 \\ 7x = 180 - 5 \\ 7x = 175 \\ x = \frac{175}{7} \\ \huge \orange{ \boxed{x = 25}} \\ \\ m\angle BEC = (3x - 5) \degree \\ m\angle BEC = (3 \times 25 - 5) \degree \\ m\angle BEC = (75 - 5) \degree \\ \huge \red{ \boxed{m\angle BEC = 70 \degree}} \\ \\ by \: remote \: interior \: angle \: theorem : \\ m\angle ABE = m\angle BEC + m\angle BCE \\ m\angle ABE = 70 \degree + 90 \degree \\ \huge \purple{ \boxed{m\angle ABE = 160 \degree }}[/tex]
PLS ANSWER QUICK
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 29.
What is the age of the person who entered the room?
Answer & Step-by-step explanation:
First, we will multiply 5 by 28 to find out the total number of ages in the room.
5 * 28 = 140
Now, we will multiply 6 by 29 to find out the total number of ages in the room after the new person comes in.
6 * 29 = 174
Now, in order for us to find the age of the new person, then we will subtract 140 from 174.
174 - 140 = 34
So, the person that entered the room is 34 years old.
Answer:
34
Step-by-step explanation:
Which inequality is equivalent to y-8 less than or equal to -2
For each right triangle fine the length of the side that is not given. Round your answer to the nearest tenth.(one Decimal place)
Answer:
√157
Step-by-step explanation:
Use Pythagorean theorm.
[tex]11^2 + 6^2 = ?^2[/tex]
121 + 36 = ?^2
157 = ?^2
√157 = ?
Can't simplify.
Answer:
12.5 m
Step-by-step explanation:
You are given the lengths of the legs of a right triangle.
We can use the Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
(6 m)^2 + (11 m)^2 = c^2
36 m^2 + 121 m^2 = c^2
c^2 = 157 m^2
c = sqrt(157 m^2)
c = sqrt(157) m
Answer: 12.5 m
b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? A. Yes, because 0.01less than<P(never)less than<0.10. B. Yes, because P(never)less than<0.05. C. No, because there were 139139 people in the survey who said they never wear their seat belt. D. No, because the probability of an unusual event is 0.
Answer:
Step-by-step explanation:
Hello!
Full text
In a national survey college students were asked, "How often do you wear a seat belt when riding in a car driven by someone else?" The response frequencies appear in the table to the right. (a) Construct a probability model for seat-belt use by a passenger. (b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else?
Response , Frequency
Never 102
Rarely 319
Sometimes 524
Most of the time 1067
Always 2727
n= 102+319+524+1067+2727= 4739
(a) Complete the table below.
Response
Probability To calculate the probability for each response you have to divide the frequency of each category by the total of people surveyed:
Never P(N)= 102/4739= 0.0215
(Round to the nearest thousandth as needed.)
Rarely P(R)= 319/4739= 0.0673
(Round to the nearest thousandth as needed.)
Sometimes P(S)= 524/4739= 0.1106
(Round to the nearest thousandth as needed.)
Most of the time P(M)= 1067/4739= 0.2252
(Round to the nearest thousandth as needed.)
Always P(A)= 2727/4739= 0.5754
(Round to the nearest thousandth as needed.)
(b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else?
A.
No, because there were 102 people in the survey who said they never wear their seat belt. Incorrect, an event is considered unusual if its probability (relative frequency) is low, you cannot know if it is usual or unusual just by looking at the absolute frequency of it.
B.
Yes, because P(never) < 0.05. Correct
C.
No, because the probability of an unusual event is 0. Incorrect, the probability of unusual events is low, impossible events are the ones with probability zero
D.
Yes, because 0.01 < P(never) < 0.10. Incorrect, by the definition an event is considered unusual when its probability is equal or less than 5%.
I hope this helps!
John wants to evaluate the expression (5 + 3)^2.
As a first step, he writes 5^2+ 3^2. Will he get the correct value for the
expression? If not, what should he do to evaluate the expression?
Please help write the correct answer.
Answer:
5+3 x 2=64
Step-by-step explanation:
(5+3) x 2 5^2+3^2=34 not 64
8 x 2 = 64
Answer:
64
Step-by-step explanation:
Hope this helped
Discuss a recent bill presented in the House. List the Title and the Representative that introduced (signed) the bill.
Answer:
This is what I found on the internet
Step-by-step explanation:
2019 LEGISLATIVE RECORD OF THE HOUSE OF REPRESENTATIVES TO DATE
11/27/19
The House has passed MORE THAN 275 BIPARTISAN BILLS this Congress that are stuck in the Senate, where Mitch McConnell refuses to bring them for a vote.
This includes bipartisan legislation to:
Give American workers a long overdue raise by raising the minimum wage and making sure women are paid fairly for their work.
Protect the retirement of Americans who worked hard all their lives.
Enact gun safety background checks.
Cut taxes for Gold Star families.
Protect consumers from being ripped off by fine print contracts.
Protect people with pre-existing conditions, reverse health care sabotage & lower drug costs.
Support veterans.
BY THE NUMBERS
The House has passed nearly 400 bills this Congress. More than 300 bills, or 80% of the bills the House has passed, are stuck in the Senate, where McConnell refuses to bring them for a vote. Most ofthe bills that are stalled in the Senate,more than 275, are bipartisan.
Examples of Bipartisan Bills McConnell is Refusing to Act on Include:
H.R.5, Equality Act
H.R.6, The American Dream and Promise Act
H.R.7, Paycheck Fairness Act
H.R.8, Bipartisan Background Checks Act
H.R.9, Climate Action Now Act
H.R.987, Protecting People With Pre-Existing Conditions/Lowering Drug Costs
H.R.582, Raise The Wage Act
H.R.397, Rehabilitation For Multiemployer Pensions Act (The Butch Lewis Act)
H.R.1585, Violence Against Women Reauthorization Act
H.R.1644, Save The Internet Act
H.R 2722, Securing America’s Federal Elections (SAFE) Act
H.R.2513, The Corporate Transparency Act
H.R.1112, Enhanced Background Checks
H.R.1994, Secure Act/Gold Star Family Tax Relief Act
H.R.205, 1146, 1941 – Banning Offshore Drilling on Atlantic, Pacific, Eastern Gulf & ANWR Coasts
H.R.1423, Forced Arbitration Injustice Repeal (FAIR) Act
More than 30 bills to support veterans
Other Examples of Bills McConnell is Refusing to Act on that Democrats Support:
H.R.1, For The People Act
H.R.4617, Stopping Harmful Interference in Elections for a Lasting Democracy (SHIELD) Act
H.R.1500, Consumers First Act
what is 584+106
plz help some math i’m so tired
Answer:
690
Step-by-step explanation:
587+106=690
Solve for x in this equation 1/5x = 7/35. Simplify.
Answer:
x=1
Step-by-step explanation:
1/5x = 7/35.
Multiply each side by 5
1/5 x * 5 = 7/35 *5
x = 7/7
x=1
Factor this expression completely
100x + 1000
A)
100(x + 10)
B)
100(x + 100)
C)
10(10x + 100)
D)
1000(10x + 1)
Answer:
Answer is A
Step-by-step explanation:
100× x is 100x
100 × 10 is 1000
Answer:
A is the answer
Step-by-step explanation:
PLZZZ give me brainliest
A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a sample of 40 male students from the baseball team. Using this data, the doctor calculates the 95% confidence interval (63.5, 74.4). Which one of the following conclusions is valid? Group of answer choices No conclusion can be drawn. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches. 95% of the male students from the baseball team have heights between 63.5 inches and 74.4 inches.
Answer:
The correct conclusion is:
"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."
Step-by-step explanation:
A doctor is measuring the average height of male students at a large college.
The doctor measures the heights, in inches, of a sample of 40 male students from the baseball team.
Using this data, the doctor calculates the 95% confidence interval (63.5, 74.4).
The following conclusions is valid:
"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."
Since we know that the confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
For the given case, the confidence level is 95% and the corresponding confidence interval is (63.5, 74.4) which represents the true mean of heights for male students at the college where the doctor measured heights.
Therefore, it is valid to conclude that the doctor is 95% confident that the mean height of male students at the college is within the interval of (63.5, 74.4).
Use the linear combination method to add the system of equations and create a one-variable equation. x – 5y = 6 –x + 2y = –3 Which solution is correct? 7y = 3 7y = –9 –3y = –9 –3y = 3
Answer:
D
Step-by-step explanation:
i did the assignment.
The correct solution of the system of the equation is -3y = 3.
The correct option is D.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A system of equations,
x – 5y = 6 {equation 1}
–x + 2y = –3 {equation 2}
In order to solve the equations, using linear combination method.
Combining the two equations 1 and 2 to eliminate one of the variables x.
Adding both the equations,
-3y = 3
y = -1.
Therefore, –3y = 3 is the solution.
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ6
What’s the answer for this ? 1-2 question
Answer:
Question 1:
A) Parallelogram
B) Right Angled Triangle
Question 2:
Using parallelogram to use properties of parallel lines. To find whether a quadrilateral is parallelogram, first we will write it's coordinates. After writing coordinates, we find slope of each line by slope formula. After this , we compare the slope of equal lines through which we come to know whether they are parallel to eachother or not. After that, if two pairs of lines are parallel, then the given quadrilateral is a parallelogram.
At 19:30 Jack lights a campfire. At 22:15 he puts the fire out. Yeah
Claim: Most adults would erase all of their personal information online if they could.
A software firm survey of 453 randomly selected adults showed that 60% of them would erase all of their personal information online if they could.
a. Find the value of the test statistic. (Round to two decimal places as needed.)
Answer:
t = 4.26
Step-by-step explanation:
Sample, n = 453
Proportion, x = 60%
Required
Test Statistic
Test statistic is calculated as follows
t = (x - p)/(σ/√n)
Where σ = √p(1 - p)
When an experiment is conducted repeatedly, the results moves close to the expected value (Law of large numbers).
Hence p = 0.5
Calculating σ
σ = √p(1 - p)
σ = √0.5(1 - 0.5)
σ = √(0.5 * 0.5)
σ = √0.5²
σ = 0.5
So,
t = (x - p)/(σ/√n) becomes
t = (60% - 0.5)/(0.5/√453)
t = (0.6 - 0.5)/(0.5/√453)
t = (0.1)/(0.5/21.28)
t = 0.1 * 21.28/0.5
t = 2.128/0.5
t = 4.256
t = 4.26 ---- Approximated
Multiply 7,952 × 8. Explain how you know your answer is reasonable.
Answer:
63,616
Step-by-step explanation:
use long repeated addition or multiply