Answer:
Step-by-step explanation:
From the given question:
The slope is expressed as;
[tex]\thteta (x) = \dfrac{dy}{dx} - - (1)[/tex]
[tex]\thteta (x) = \dfrac{dy}{dx}\left \{ {{\dfrac{y(x+b)-y(x)}{h} \ \ \to approximate} \atop {\dfrac{1}{100}}(-4+4x-3x^2+2x^3) \ \to \ exact } \right.[/tex]
∴
[tex]\theta (x) _{approximate} = \dfrac{y(1+0.3)-y(1)}{0.3}[/tex]
[tex]\theta (x) _{approximate} = \dfrac{y(1.3)-y(1)}{0.3}[/tex]
[tex]\theta (x) _{approximate} = -2.965 \times 10^{-5}[/tex]
[tex]\theta(x)_{exact} = \dfrac{1}{100}(-4+4-3+2)[/tex]
[tex]\theta(x)_{exact} = -0.01[/tex]
Finally, the true percent relative error TPRE is:
[tex]TPRE= \dfrac{ | \theta(x)_{approximate} -\theta (x)_{exact} }{\theta (x)_{exact} }\times 100\%[/tex]
[tex]TPRE= \dfrac{ 2.965 \times 10^5 --0.01}{-0.01}\times 100\%[/tex]
TPRE = 70..35%
the equation for x: 3(x - 4) = 3x + 2 *
Answer:
No Solution
Step-by-step explanation:
For the left side of the equation, we can use distributive property
3(x-4)= 3x+2
3x-12=3x+2
+12 +12
3x= 3x+14
-3x -3x
0 is not equal to 14
No Solution
Jill counted 20 pigs and chickens in the farm. Jack counted a total of 54 legs for the animals. How many chickens were there in the farm?
Answer:
Let the number of chickens in the farm = x
Let the number of pigs in the farm = y
Number of legs of chickens = 2*x (since chickens have 2 legs)
Number of legs of pigs = 4*y (since pigs have 4 legs)
We are given that there are a total of 20 animals (pigs + chickens)
so, number of chickens + number of pigs = 20
x + y = 20
We are given that there is a total of 54 legs in the farm
so, legs of chickens + legs of pigs = 54
2x + 4y = 54
Solving for number of chickens and pigs:
from the question, we have deduced that:
x + y = 20
2x + 4y = 54
taking the value of x from the first equation and using it in the second equation
x = 20 - y
2(20-y) + 4y = 54
40 - 2y + 4y = 54
40 + 2y = 54
2y = 14
y = 7
Using this value of y in the first equation:
x + y = 20
x + (7) = 20
x = 13
Therefore, there are 13 chickens and 7 pigs in the farm
100 + (-75) =?
I’m desperate please
Answer:
100+-75=25.
Step-by-step explanation:
I really hope this helps.
Answer:
25
Step-by-step explanation:
you just do 100-75 it is the same as 100+(-75)
FIRST TO ANSWER GETS A FULL POINTS
PLEASE ANSWER AND GIVE A BRIEF (short) EXPLANATION
each triangle is equilateral. is the relationship between the perimeter and the side length of the equilateral triangles proportional? explain
Answer:
Yes
Step-by-step explanation:
Because the sides of the equilateral triangle are equal, the perimeter is equal to 3a.
The product of two positive consecutive integers is 462. Find the integers.
Answer:
21,22
Step-by-step explanation:
n(n+1)=462
Distribute n through the term in the parentheses.
n2+n=462
Subtract 462 from each side.
n2+n−462=462−462
Write the relationship as a quadratic equation.
n2+n−462=0
Factor the equation.
(n+22)(n−21)=0
Solve.
n+22=0 and n−21=0n=−22 or 21
For every 1/4 mi Pascal walks Lucien runs 2/3 mi. How many miles does Pascal walk for every 1 mi Lucien runs? Write your answers in the blanks.
Answer:
Step-by-step explanation: The answer is 0.5
The distance Pascal walk for every 1 mile Lucien runs is equal to [tex]\frac{8}{3}[/tex] miles.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that for every 1/4 miles Pascal walks Lucien runs 2/3 miles. We have to find out the number of miles Pascal walk for every 1 miles Lucien runs. This can be find out by dividing 2/3 by 1/4 and we get :
= [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]
We know that when a fraction is divided by another , then the part right to the division sign is inversed and division sign is replaced with a multiplication sign.
i.e., the distance Pascal will walk for every 1 mile Lucien runs will be :
= [tex]\frac{2}{3}[/tex] × [tex]\frac{4}{1}[/tex]
= [tex]\frac{8}{3}[/tex] miles
Therefore , the distance Pascal walk for every 1 mile Lucien runs is equal to [tex]\frac{8}{3}[/tex] miles .
Learn more about fraction here :
https://brainly.com/question/17220365
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Julie Ann works on an assembly line building computers. She can assemble 8 units an hour. Write an expression for the number of units she can produce in h hours. Question 2 options: h ÷ 8 h - 8 8 + h 8h
Answer:
Number of units=H(8)
Last year, Lucy opened an investment account with $8800. At the end of the year, the amount in the account had Increased by 28.5% How much is this increase in dollars?
Answer:
2508
Step-by-step explanation:
28.5% of 8800 is 2508.
so at the end of the year she had a total of 11308.
A bicycle is originally priced at $80. The store owner gives a discount and the bicycle is now priced at $60. What is the percent of discount for the cost of the bicycle?
Answer:
I believe 25% off 80 :D
Step-by-step explanation:
Answer:
It would be a 25% discount
Step-by-step explanation:
12w=-8(-4w=10) please help
ILL GIVE BRAINLY!!! Write an expression to represent "a number plus 1/3 of the number." Explain why your expression represents the situation.
Answer:
6+2=8
Step-by-step explanation:
I got this by multiplying 1/3 by 6 which equaled 2. So this means 2 is the equivalent to 1/3 of 6. You could also do whatever the number is in total (6) divided by 3 to find out how much 1/3 would be. Then you just add up the whole number and how much 1/3 of the first number is together to get your answer (8).
Andrea goes fishing at 9:03 a.m. She fishes for 49 minutes. What time is Andrea done fishing?
Answer:
She is done fishing at 9:52 a.m
Answer:
9:52a.m.
Step-by-step explanation:
just add
Dr Eberhardt has been conducting a study in which he wants to know how much glucose is generated by blue-green algae when they are placed under blue light for 4 hours. There are two methods that he can used to determine glucose levels and he needs to know which one is more accurate. In method 1, a hexokinase activity assay is used and the mean of 10 algal samples is 120 mmol, with a standard deviation of 4.8 In method 2, a glucose oxidase activity assay is used and the mean of the same 10 algal samples is 100 mmol, the standard deviation is 4.
Which method is more accurate?
a. both are equally accurate based on their coefficients of variation
b. method 2, because it has a smaller standard deviation
c. method 1, because although the standard deviation is greater so is the mean
d. you would need to know the range in order to see which is more accurate
Of the 50 people at the concert, 12 are teenagers. What percent are
teenagers? *
O 48%
O 50%
O 24%
044%
A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.
a. Select the null and the alternative hypotheses to test the policy analyst's objective.
A. He : p 0.82; Ha: p +8.82
B. He: P 8.82; HA: P8.82
b-1. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? (Negative values should be Indicated by a minus sign. Round Intermedlete calculatlons to at least 4 decimal places and final answer to 2 declmal places.)
b-2. Find the p-value.
a. p-value<0.01
b. 0.01 s p-value<0.025
c. 0.025 s p-value
d. 0.05 sp-value<0.10
e. p-value z 0.10
c-1. At a 0.05, do you reject the null hypothesis?
A. Yes, since the p-value is greater than significance level.
B. Yes, since the p-value is smaller than significance level.
C. No, since the p-value is greater than significance level.
D. No, since the p-value is smaller than significance level.
c-2. What is the conclusion?
A. The law has been effective since the pvalue is less than the significance level.
B. The law has not been effective since the pvalue is less than the significance level.
C. The law has been effective since the p-value is greater than the significance level.
D. The law has not been effective since the p-value is greater than the significance level.
Answer:
a)Null hypothesis; H0: p = 0.82
Alternative hypothesis; Ha: p < 0.82
b-1) test statistic = -2.57
b-2)The p-value = 0.00545
c-1)Option B: Yes, we will reject the null hypothesis since the p-value is smaller than significance level.
c-2) Option A: The law has been effective since the p-value is less than the significance level
Step-by-step explanation:
A) We are given population mean as 82% = 0.8.l2
Thus defining the hypothesis, we have;
Null hypothesis; H0: p = 0.82
Alternative hypothesis; Ha: p < 0.82
b-1) We are told that a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. Thus; p^ = 150/200 = 0.75
Test statistic is given by the formula;
t = (p^ - p)/(√(p(1 - p)/n)
t = (0.75 - 0.82)/√(0.82(1 - 0.82)/200)
t = -0.07/0.0272
t = -2.57
b-2) From online p-value from t-value attached using; t = -2.57, significance level = 0.05, one tail distribution, and DF = 200 - 1 = 199, we have;
The p-value = 0.00545
c-1) Option B: Yes, we will reject the null hypothesis since the p-value is smaller than significance level.
C-2) We will conclude that;
The law has been effective since the pvalue is less than the significance level.
You can perform the t test for single mean to test the hypothesis.
The solutions are:
A: The null hypothesis: [tex]H_0: p= 0.82\\[/tex]
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B: 1) The value of t statistic is -2.58
2) The p value is 0.0053
C: 1) Yes, since the p-value is smaller than significance level.
2) The law has been effective since the p-value is less than the significance level.
How to form the hypothesis?We take null hypothesis for events as if nothing changed. So we will the changed population mean to be same as before. Or [tex]H_0: p = 0.82\\[/tex]
And thus, the alternate hypothesis will be that the mean is decreased than 82% due to the new law, thus,
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
Solving for all problems:
A) We take null hypothesis for events as if nothing changed. So we will the changed population mean to be same as before. Or [tex]H_0: p = 0.82\\[/tex]
And thus, the alternate hypothesis will be that the mean is decreased than 82% due to the new law, thus,
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B) 1) The sample size = n = 200, the percentage of people using phone is: [tex]\dfrac{150 \tiems 100}{200} = 75\%[/tex] thus p' = 0.75
The value of t statistic is calculated as:
[tex]t = \dfrac{p' - p}{\sqrt{(p)(1-p)/n}}\\\\t = \dfrac{0.75 - 0.82}{\sqrt{0.82 \times 0.18 / 200}} = -2.577[/tex]
2) p value from t table at df = 200 -1 == 199, we have p value at t = -2.58
The p value is 0.0053
C) 1) since the obtained p value is less than the significance level 0.05, thus we will reject the null hypothesis and accept the alternate hypothesis. Thus,
Yes, since the p-value is smaller than significance level.
2) Thus, the conclusion is:
The law has been effective since the p-value is less than the significance level.
The solutions are:
A: The null hypothesis: [tex]H_0: p= 0.82\\[/tex]
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B: 1) The value of t statistic is -2.58
2) The p value is 0.0053
C: 1) Yes, since the p-value is smaller than significance level.
2) The law has been effective since the p-value is less than the significance level.
Learn more about null and alternative hypothesis here:
https://brainly.com/question/18831983
A baseball player had 4 hits in 8 games At this rate how many hits will the baseball player have in the next 28 games?
O 14
O 24
O 28
O 56
Evaluate. 48-2^4x2.................
Answer:
16
Step-by-step explanation:
PEMDAS
Answer:
48-[tex]2^{4}[/tex]×2= 16
Step-by-step explanation:
hope it helps! good luck :)
Raquel kicks a football. The height in feet can
be modeled by the equation
h(x) = -16x2 + 64x.
How long in seconds before the ball reaches
its maximum height? Show work.
What is the maximum height of the ball? Show work.
answer fast please
Answer:
the answer is 0
Step-by-step explanation:
16x2 + 64x.
Answer:
0
Step-by-step explanation:
i agree with bigmack0
What is 3085 over 16 as a mixed number? Ahh helpppp:(!
How do you do this question?
Answer:
A and C
Step-by-step explanation:
Easiest way is to plug in values of t and trace the graph.
A (x, y) = (sin(t), cos(t))
At t = 0, (x, y) = (0, 1).
At t = π/2, (x, y) = (1, 0).
So the particle starts at (0, 1) and moves clockwise. The period of sin(t) and cos(t) is 2π, so for 0 < t < 2π, the particle makes 1 revolution.
B (x, y) = (-sin(t), cos(t))
At t = 0, (x, y) = (0, 1).
At t = π/2, (x, y) = (-1, 0).
So the particle starts at (0, 1) and moves counterclockwise. The period of sin(t) and cos(t) is 2π, so for 0 < t < 4π, the particle makes 2 revolutions.
C (x, y) = (cos(4πt), sin(4πt))
At t = 0, (x, y) = (1, 0).
At t = 1/8, (x, y) = (0, 1).
So the particle starts at (1, 0) and moves counterclockwise. The period of sin(4πt) and cos(4πt) is 1/2, so for 0 < t < 1, the particle makes 2 revolutions.
D (x, y) = (cos(2πt), -sin(2πt))
At t = 0, (x, y) = (1, 0).
At t = 1/4, (x, y) = (0, -1).
So the particle starts at (1, 0) and moves clockwise. The period of sin(2πt) and cos(2πt) is 1, so for 0 < t < 1, the particle makes 1 revolution.
A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag.
What is the approximate probability that exactly two of the five are blue?
1%
4%
36%
40%
Answer:
36%
Step-by-step explanation:
What is 6 + 4(11 - 2) divided by 3^2
USE PENDAS
and show step by step of how you got to your answer
Will give BRAINLEST though only if the work you showed is correct AND the answer.
Answer:
6 +4 (11-2)
6 + 4 (9)
6+ 36
42
42÷3²
42÷9
4.6666667
Step-by-step explanation:
i hope the divided by 3^2 was the next step and not a part of the equation because if it was a part of the original equation than the answer is wrong
PLEASE HELPP!!! I got it wrong and im on my last chance. Please show your work to help me understand! Will mark as BRAINLIEST!!
Answer:
x=10
Step-by-step explanation:
First, you gotta get the numbers with the x on one side and the whole numbers on the other side.
So, since there is a -3 on the right side, make that 0 by adding 3. Whatever you do to one side you have to do to the other side, so then add 3 the the left side. You should have 12x=9x+30.
Now, get the Xs on one side. Since there is a positive 9x on the left side, subtract 9x from that side to make that 0. Again, whatever you do to one side you have to do to the other side, so subtract 9x from the right side as well. This should leave you with 3x=30.
In order to get x by itself, we need to divide because when 2 things (in this case the 3 and the x) are right next to each other (no space in between,) it means they are multiplied together. To get x by itself, we need to do the opposite which is divide. 3x/3=x 30/3=10 So, x=10
btw, /=divide
Answer:
12x – 3 = 9x +27
=> 12x – 9x = 27 + 3
=> 3x = 30
=> x = 30/ 3
=> x = 10
Solve for x. 3 (2x + 7) = 15 (x - 4)
Which statement must always be true?
4
13
Choose the correct answer below.
O A. If Z1 Z2, then gl|h.
OB. If 21-23, then gl|h.
O C. If Z2 = 24, then jl|k.
OD. If Z3 Z4, then illk.
Find the mean, median, and mode of the following data:
(round to 1 decimal place as needed)
35, 17, 23, 28, 17, 27, 30, 17, 27, 18
Answer: Mean: 23.9
Median: 25
Mode: 17
Step-by-step explanation:
For mean, add all the numbers and divide it by the amount of numbers.
For median, put all of the numbers from least to greatest and find the middle number.
For mode, find the number that is used the most.
A grain silo is shaped like a cylinder. The height of the silo is 60 feet tall, and the circumference of
the base is a 20 feet. Which measurement is closest to the volume of the silo in cubic feet?
F 3,769.9 ft?
G 75,398.2 ft3
H 226,194.7 ft
J 18,849.6 ft3
Answer:
F
Step-by-step explanation:
Solve for equation x by graphing -4^x+1=3x-4
Answer:The answer is B
x=0.75
I’m not sure though
Step-by-step explanation:
Find the perimeter of parallelogram ABCD with vertices A(–5, 6), B(2, 6), C(1, –2), and D(8, –2).
Answer:
A is the correct answer
Graph the line that contains the point (-2,-4) and has a slope of
1/4
Answer:
y = 1/4x - 7/2
Step-by-step explanation:
To answer this question, we have to use point-slope form:
y - y1 = m(x - x1)
Substitute the numbers into the variables:
y - (-4) = 1/4(x - (-2))
y + 4 = 1/4(x + 2)
y + 4 = 1/4x + 1/2
y = 1/4x - 7/2
To verify your answer, simply substitute the values into your equation:
-4 = 1/4(-2) - 7/2
-4 = -1/2 - 7/2
-4 = -8/2
-4 = -4