Answer:
−35.713332 ; 0.313332
Step-by-step explanation:
Given that:
Sample size, n1 = 11
Sample mean, x1 = 79
Standard deviation, s1 = 18.25
Sample size, n2 = 18
Sample mean, x2 = 96.70
Standard deviation, s2 = 20.25
df = n1 + n2 - 2 ; 11 + 18 - 2 = 27
Tcritical = T0.01, 27 = 2.473
S = sqrt[(s1²/n1) + (s2²/n2)]
S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]
S = 7.284
(μ1 - μ2) = (x1 - x2) ± Tcritical * S
(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284
(μ1 - μ2) = - 17.7 ± 18.013332
-17.7 - 18.013332 ; - 17.7 + 18.013332
−35.713332 ; 0.313332
help me,,.,,.,.,,,,,..,,,,..
Answer:
90
Step-by-step explanation:
that's a right angle
Multiply the following using the vertical multiplication method:
x2 + 5x +1
x3x2 - 2x +4
O
A. 3x4 - 13x3 +3x2 + 18x + 4
B. 3x4 - x2 + 3x2 + x + 4
o
C. 3x4 + x2 + x2 +18x + 4
o
D. 3x4 +13x3 - 3x2 + 18x + 4
Answer:
a I think I might be a try it tell me if I am wrong
You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless, and staring you down. (Or perhaps she does not understand the gravity of the situation.) Regardless, if you simply hit your brakes, after t seconds, the car will be j(t) = 95t - 9t^2 feet from the point where the brakes were first applied.
1) Must you steer to avoid the cow, or can you rely solely on your brakes? Explain.
2) Graph J(t), j'(t), and j"(t) and Interpret their meanings in context.
3) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
4) Write a piece-wise function using j(t) that would more accurately model the path of the car on the interval [0, 10], assuming the car did not move after it stopped. Sketch this graph and its derivative.
Answer:
1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.
2) See attached picture.
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Step-by-step explanation:
1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:
[tex]j(t)=95t-9t^2[/tex]
[tex]j'(t)=95-18t[/tex]
and we set the first derivative equal to zero so we get:
95-18t=0
and solve for t
-18t=-95
[tex]t=\frac{95}{18}[/tex]
t=5.28s
so now we calculate the position of the car after 5.28 seconds, so we get:
[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]
[tex]j(5.28)=250.69ft[/tex]
so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.
2) For answer 2 I take the second derivative of the function so I get:
[tex]j(t)=95t-9t^{2}[/tex]
[tex]j'(t)=95-18t[/tex]
j"(t)=-18
and then we graph them. (See attached picture)
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Find the missing angle
bro what angle I don't see one here so how we are able to solve this problem
Find the surface area of the rectangular prism.
HELP ME PLS ASAP PLS PLZ
Find the unknown value in the proportion. 3/5 = x/20. what is the value of
X?
CL 6-153
In 2012 the average cost for a new midsized car was about
$31,000. New car prices tend to go up about 2% every year.
a. What is the multiplier for this situation?
b. If this trend continues, what will the cost be in 4 years?
c. Write an equation to calculate the cost in n years. What does
each of the factors in your equation represent?
Answer:
A) The multiplier for this situation is 0.02.
B) The cost in 4 years will be $ 33,555.39.
C) 31,000 x 1.02 ^ N = X
Step-by-step explanation:
Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:
A)
31,000 x 2/100 = X
31,000 x 0.02 = X
Thus, the multiplier for this situation is 0.02.
B)
31,000 x 1.02 ^ 4 = X
33,555.39 = X
Thus, the cost in 4 years will be $ 33,555.39.
C)
31,000 x 1.02 ^ N = X
Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.
Pls help this is due today! A circular plate has a circumference of 14p in. Find the area of the same plate.
Answer:
area = 153.86 in²
Step-by-step explanation:
Diameter = 14π / π = 14
radius = 1/2(14) = 7
area = π7² = 153.86 in²
An expression equivalent to -4(2k-6)
Answer:
-8k + 24
Step-by-step explanation:
Is your expression.
Question
Example
Step by Step
The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2.11) and
B7, 1). Find the equation of the line that contains the given segment
The line segment is BC.
The equation is y =
llo
6. Missing data, nonrandom samples, and outlying observations True or False: If the data for an observation on either the dependent variable or one of the independent variables are missing at random, then the size of the random sample available from the population must be reduced, which reduces the estimator's precision and introduces a bias.
Answer:
False
Step-by-step explanation:
The answer to this question is false because the missing observation does not introduce bias to the estimator. But missing observations reduces the size of the sample that is available from the given population. Therefore reducing the precision of the estimators.
In conclusion, no bias is introduced because of missing observations so the answer is false.
Find the area of a circle with a diameter of 16.
Either enter an exact answer in terms of or use 3.14 for at
and enter your answer as a decimal.
units?
Help me
Answer:
A=200.96.
Step-by-step explanation:
A=3.14×16/2^2.
A=3.14×8^2.
A=3.14×64.
A=200.96 or A=201.
Write a function called Radians_To_Degrees which will convert an angle from Radians to Degrees. In your Lesson 06 script: a. convert 1.62 radians to degrees b. Convert pi/9 radians to degrees
Answer:
a) 92.9 degrees
b) 20 degrees
Step-by-step explanation:
Using the conversion factor;
180 degrees = pi radians
For 1.62 radians;
1.62 radians = x
pi radians = 180 degrees
Divide both expressions;
1.62/pi = x/180
pi * x = 1.62 * 180
pi * x = 291.6
x = 291.6/pi
x = 291.6/3.14
x = 92.9 degrees
Hence 1.62 radians is equivalent to 92.9 degrees
b) Recall that
pi radians = 180 degrees
pi/9 rad = y
Cross multiply
y * pi = 180pi/9
y = 180/9
y = 20 degrees
Hence pi/9 radians is equivalent to 20 degrees
4/15 x 6 in simplest form
Answer:
1.6
Step-by-step explanation:
What is the equation of a line that has a slope of -3 and passes through the point (2,5)?
A y=-3x - 1
B. y=-3x +11
C.y= 2/5x -3
D. y=5/2x-3
Answer:
B
Step-by-step explanation:
the answer is B y=-3x+11
Almost done. I need help with this part
Answer:
[tex]\%Percent = 14.3\%[/tex]
Step-by-step explanation:
Required
15 is what percentage of 105
To do this, simply divide 15 by 105 multiplied by 100%.
So, we have:
[tex]\%Percent = \frac{15}{105} * 100\%[/tex]
[tex]\%Percent = \frac{15*100}{105}\%[/tex]
[tex]\%Percent = \frac{1500}{105}\%[/tex]
[tex]\%Percent = 14.3\%[/tex] --- approximated
15. Paula bought a ski jacket on sale for $20
less than half of its original price. She
paid $68 for the jacket. What was the
original price?
Answer:
Step-by-step explanation:
P/2-20=68, add 20 to each side
P/2=88, multiply each side by 2
P=$176
The original price was $176
WORTH 25 points!! NEED ASAP!! REALLY IMPORTANT
Answer:
V = (4.2)(7.5)·w
if w = 2 then V = 63 ft³
Step-by-step explanation:
V = l·w·h
V = (4.2)(7.5)(2)
V = 63
What is the equation of line d and c? What is the slope of line d and line c?
Answer:
Step-by-step explanation:
I understand why this was kind tough
the slope of line d is infinite and the slope of line c is zero
so line c 's equation looks like y = 3 ... it's kinda confusing but the line is always 3 so you could pick any x value and y = 3 still. the equation y=3 doesn't rely on x at all to answer it. But x is part of the "frame work" that is implied.
line d is x = 3 , again , y is part of the "frame work" and implied that y doesn't matter in this equations, you always have x = 3 .. or a vertical line , btw. line d does NOT pass the vertical line test , and therefore isn't a function, so the question is wrong, that d will have an equation, b/c there is an implication that d is a function when you say "what is the equation to line d" that is must be a function. But in this case it's not. hm :/ food for thought
ineeeddddddyoooouuuurrrrr hhhheeeellllpppp ppppllllssss
Answer:
d. you just have to multiply everything
Help
Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups
Group of answer choices
Answer: it hold 8 cups
Step-by-step explanation:
May I plz get brainlest
If she has 4 pints and 2 cups, and pints still needs converted, then multiply 4 by 2 to get the number of cups per pint. so she has 8+2 cups, or 10 cups in her water bottle
---
hope it helps
midsegment of a trapezoid find x
Answer:
x = 7
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
NP = (JK + ML)/2
Substitute
45 = (3x + 11 + 10x - 12)/2
2*45 = 13x - 1
90 = 13x - 1
90 + 1 = 13x
91 = 13x
Divide both sides by 13
91/13 = x
7 = x
x = 7
round to the nearest 10th
What is the value of n ?
Answer:
n=10
Step-by-step explanation:
5n-20=3n
-20=-2n
10=n
What is the area of the shaded region in the figure?
Answer:
look at the picture i sent please
Helpppppppppp sjsndkejsnsnsb
Answer:
18.8 fleck dickon Dunn dream fun deep
Identify the y-intercept of the graph below
Answer:
I want to say it's A
Step-by-step explanation:
the y-intercept is where the line crosses through the y-axis.
Find the measure of 2.
50 2.
1130
< 2 =
[?]
The lines below are parallel. If the slope of the green line is -2, what is the
slope of the red line?
Answer:
C. -2
Step-by-step explanation:
All parallel lines have the same slope
Evaluate each expression if m = 3 and n = 7. n to the power of 2 - 2m plz
Answer:
[tex]7^{2}[/tex] -2 * 3 is equal to 43
Step-by-step explanation: