Answer:
Part 1:
P₂(0.07)=0.93245≈[tex]e^{-0.07}[/tex]
Part 2:
Error=[tex]0.5618*10^{-4}[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=e^{x}\\f(-0.07)=e^{-0.07}[/tex]
P₂(x)=[tex]1-x+\frac{x^2}{2}[/tex]
Solution:
Part 1:
P₂(x)=[tex]1-x+\frac{x^2}{2}[/tex]
We have x=0.07
Put Value of x in above Equation:
P₂(0.07)=[tex]1-0.07+\frac{0.07^2}{2}[/tex]
P₂(0.07)=0.93245≈[tex]e^{-0.07}[/tex]
Part 2:
[tex]e^{-0.07}[/tex]=0.93239382 (Calculated using Calculator)
Error=|[tex]e^{-0.07}[/tex]-P₂(0.07)|=|0.93239382-0.93245|=0.00005618
Error=|0.93239382-0.93245|
Error=0.00005618
Error=[tex]0.5618*10^{-4}[/tex]
Coach Nichols asked the track team to run a lap around the track. Determine the distance the team ran. Use 3 for pi.
Answer:
375
Step-by-step explanation:
A cylindrical jar of jam has a diameter of 6cm and a height of 8cm if the jar is 70% full how many cubic centimeters of jam is in the jar?
Answer:
[tex] 158.256 \: {cm}^{3} [/tex]
Step-by-step explanation:
For cylindrical jar:
Diameter = 6 cm
Radius (r) = 6/2 = 3 cm
Height (h) = 8 cm
[tex]V_{cylindrical \: jar} = \pi {r}^{2} h \\ \\ = 3.14 \times {(3)}^{2} \times 8 \\ \\ = 3.14 \times 72 \\ \\ = 226.08 \: {cm}^{3} \\ \\ \because \: jar \: is \: filled \: upto \: 70 \% \\ \\ \therefore \: V_{jam} = 70 \% \: of \: V_{cylindrical \: jar} \\ \\ \therefore V_{jam} = 0.70 \times 226.08 \\ \\ \therefore V_{jam} = 158.256 \: {cm}^{3} [/tex]
What’s the missing number for this equation:)
[tex]{\red\star}\:{\underline{\underline{\mathfrak{\purple{hello}}}}}\:{\red\star}[/tex]
[tex]140x = 8400[/tex]
[tex] \frac{140x}{140} = \frac{8400}{140} [/tex]
[tex]x = 60[/tex]
Our answer is 60.
Good luck.
Answer:
140 x X =8400
X=8400/140
X= 60
140 x 60 =8400
special triangles 45-45-90
9514 1404 393
Answer:
x = y = (√10)/2
Step-by-step explanation:
In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.
x = y = (√5)(√2)/2
x = y = (√10)/2
Answer:
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
My friend needs help!
Don't give links, show work, no silly answer.
Answer:
the answer is x=10
add 29+1=30
90-30=60
60÷6=10
3 over x minus 2 equals 1 over x
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
As written, we must interpret your equation as ...
[tex]\dfrac{3}{x}-2=\dfrac{1}{x}\\\\\dfrac{2}{x}=2\qquad\text{add $2-\dfrac{1}{x}$}\\\\x=\dfrac{2}{2}=1\qquad\text{multiply by $\dfrac{x}{2}$}[/tex]
The value of x is 1.
Please solve for all three parts of the question.
Answer:
f(-5) = 25
f(0) = -2
f(5) = 16
Step-by-step explanation:
Given the functions;
To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero
at where x < 0, f(x) = x^2
f(-5) = (-5)^2
f(-5) = 25
b) For f(0), where the point where x = 0, f(x)= -2
Hence the value of f(o) = -2
c) For f(5), the function where x > 5 is f(x) = 2x+6
f(x) = 2x+6
f(5) = 2(5)+6
f(5) = 16
5/16 divided by 3 1/5
Answer:
25/256
Step-by-step explanation:
(5/16) / (3 1/5)
(5/16) / (16/5)
(5/16) * (5/16)
5*5 / 16*16
25/256
This is a scale drawing of a field. The scale is 1 in.: 10 ft. What is the actual length of the
longer side of the field?
7 in.
5 in.
50 ft
10 ft
70 ft
Answer:7ft
Step-by-step explanation:
i got it right
10 Days into second
help by answering
Answer:
I think it is 864000 seconds
Answer:
864000 seconds
Step-by-step explanation:
1 day=24hrs
so, 10 days= 24×10=240hrs
1 hour= 60 mins
240hrs= 60×240=14400mins
1 min=60 secs
14400mins= 60×14400=864000seconds
a total of 12,650 voters completed an online survey that asked if they are going to vote for a certain political canidate in an upcoming
election. how many said they are not going to vote for the candidate
Answer:You have roughly the same chance of being called as anyone else living in the United States who has a telephone. This chance, however, is only about 1 in 154,000 for a typical Pew Research Center survey. To obtain that rough estimate, we divide the current adult population of the U.S. (about 235 million) by the typical sample size of our polls (usually around 1,500 people). Telephone numbers for Pew Research Center polls are generated through a process that attempts to give every household in the population a known chance of being included. Of course, if you don’t have a telephone at all (about 2% of households), then you have no chance of being included in our telephone surveys.
Step-by-step explanation:
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
Solve the given equation for x.
7^4x-4 = 32
Middle
Bruce collects stamps. He collected a total of 150 stamps. If 84% of the stamps he collected were
foreign, how many other stamps
Answer:
24
Step-by-step explanation:
150 x .84 =126 foreign
150-126=24 other stamps
. The admission fee for a basketball game is $5 for students and $7 for adults. At one of the girl’s home games, 150 people attended the game and $866 was collected. How many students and how many adults attended the game?
Answer:
Adults =58, Students=92
Step-by-step explanation:
Please Help!!
No links or I’ll report you!
A. 11
B. 13
C. 8
D. 7
Answer:
The answer is 13.
Step-by-step explanation:
Angle ABC and PQR are equivalent, although angle PQR is just scaled down by a factor of 9. Line CA is 54, line PR is 6, 54/6=9. So, line PQ has to be equal to 9 because 81/9=9. So you input all values into the expression until you get the product of 9.
Work: 2(13)-17=9, so 13 is your answer.
Help please if u can I really need if so ty
Answer:hewwo I’m in school sorry for not talking to you
Step-by-step explanation:
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Answer:
ahfjajsjdjadkfjfjakskhsk
PLEASE HELP 9) (6 pts.) The perimeter of a rectangle is 100 feet. The length is 10 more than 3 times the width. Define variables and write a system of equations that could be used to find the length and width of the rectangle. For this problem you are NOT being asked to solve the system, just to set it up.
Step-by-step explanation:
sorry i am unable to understand what it is asking but if you inform me more i would love to help
Use technology or a z-score table to answer the question.
The weights of members of a baseball league are normally distributed with a mean of 176 pounds and a standard deviation of 11.4 pounds. Consider a league membership of 120 members.
How many of the members will weigh 165 pounds or more?
A.)67
B.)76
C.)80
D.)100
Answer:
D. 100
Step-by-step explanation:
1. Find the z-score: 165-176/11.4 = -1.2
2. Find the percentage of the z-score. Here it's 16.85%
3. Because we are searching for the amount of members that weigh MORE than 165 pounds and not LESS, we need to find the greater percentage by subtracting 16.85% from 100% which is 83.15%. This is the percentage of people that weigh more than 165 pounds.
4. Multiply the percentage by the number of members: 83.15%*120 = 99.78
5. Round it to a whole number because someone can't be 0.78 of a person. You get 100 members.
Also, I took the test :)
X 6.4.5-T
Qu
Assume that females have puhe rates that are normally distributed with a mean of 76.0 beats per minute and a standard deviation of a 12.5beato per minuto Complete parts (a) through (c) below
att hittemate is randamg selected to the probability that her pulse rate is less than 79 beats per minute
The pobavity
(Round to four decimal places as needed)
Same strategy as before: transform X ∼ Normal(76.0, 12.5) to Z ∼ Normal(0, 1) via
Z = (X - µ) / σ ↔ X = µ + σ Z
where µ is the mean and σ is the standard deviation of X.
P(X < 79) = P((X - 76.0) / 12.5 < (79 - 76.0) / 12.5)
… = P(Z < 0.24)
… ≈ 0.5948
You want to be able to withdraw $25,000 each year for 20 years. Your account earns 5% interest.
a. How much do you need in your account at the beginning? Do not include units!
b. How much total money will you pull out of the account? Do not include units!
C. How much of that money is interest? Do not include units!
Answer:
a. $311,555.26
b. $500,000
c. $188,444.74
Step-by-step explanation:
The computation is shown below:
a. Here we have to determine the present value
Given that
PMT = $25,000
NPER = 20
RATE = 5%
FV = $0
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
after applying the above formula, the amount that need in the beginning is $311,555.26
b. The total money should be
= $25,000 × 20 years
= $500,000
c. The amount of interest is
= $500,000 - $311,555.26
= $188,444.74
Question 1
10 pts
1. Burger Town sells cheeseburgers for $7.95 each plus
an additional $1.00 for each extra topping, t. Which of
the following equations best represents the cost, c, of a
cheeseburger?
O AC = 7.951
OB.C - 8.95
C. c = 7.95t + 1.00
D. C = 7.95 + 1.000
will mark brainlest
Answer: C
Step-by-step explanation:
A population has standard deviation o=17.5.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1? Round the answer up to the nearest integer. (Round the critical value to no less than three decimal places.) A sample size of is needed to be drawn in order to obtain a 99.9% confidence interval with a margin of error equal to 4.1.
Part 2 of 2
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller? (Choose one) V , because the confidence level is (Choose one) V .
Answer:
a) A sample of 198 must be drawn.
b) Smaller, because the confidence level is smaller.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.291.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1?
This is n for which M = 4.1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4.1 = 3.291\frac{17.5}{\sqrt{n}}[/tex]
[tex]4.1\sqrt{n} = 3.291*17.5[/tex]
[tex]\sqrt{n} = \frac{3.291*17.5}{4.1}[/tex]
[tex](\sqrt{n})^2 = (\frac{3.291*17.5}{4.1})^2[/tex]
[tex]n = 197.3[/tex]
Rounding up:
A sample of 198 must be drawn.
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller?
We have that:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Solving for n
[tex]\sqrt{n} = \frac{z\sigma}{M}[/tex]
That is, n and z are directly proportion, meaning that a higher value of z(higher confidence level) leads to a higher sample size needed.
95% < 99.9%, so a smaller confidence interval.
Smaller, because the confidence level is smaller.
in triangle ABC, AC=12 in., BC= 1.5in., and m
Answer:
13.5
Step-by-step explanation:
I am not 100% sure but I really hope this helps you.
PLEASE PLEASE HELP
timed, 10 mins left
Find x.
4000
by using pythagoras theorem h^2=p^2+b^2
consider the inequality -5(x+7) <-10. write an inequalityrepresenting the soulution for x.
Answer:
x > -5
Step-by-step explanation:
You multiply both sides by -1
Simplify
Divide both sides by 5
Simplify
Subtract 7 from both sides
Simplify
Please give me BRAINLIEST and THANKS lol <(￣︶￣)>
13 Hannah deposits $3,000 into each of two
savings accounts.
• Account I earns 4% annual simple
interest.
• Account II earns 4% interest
compounded annually.
Hannah does not make any additional
deposits or withdrawals. What is the sum
of the balances of Account I and Account
II at the end of 2 years?
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Answer:
$6484.80
Step-by-step explanation:
Account I:
The balance in the account after 2 years will be ...
A = P(1 +rt)
A = $3000(1 +0.04(2)) = $3240
__
Account II:
The balance in the account after 2 years will be ...
A = P(1 +r)^t
A = $3000(1 +0.04)^2 = $3244.80
__
The sum of the two balances after 2 years is ...
$3240 +3244.80 = $6484.80
If the surface area of a cube is 150 cm2, what is the volume of the cube
Answer:
V = 125 in^3
Step-by-step explanation:
A cube has 6 sides, and the area of each is equal to the side length squared:
A = 6x^2
A is given as 150 cm^2, and so is equal to 6x^2. Thus, x = the side length = 5 cm.
The volume of the same cube is given by V = x^3, which here is 5^3 in^3, or V = 125 in^3
4. Draw a set of shapes where 3/4 of the shapes are squares.
Each shape is 1 whole. Estimate to divide each into equal parts (do not draw fourths). Divide each whole using a different fractional unit.
Images has been attached showing 3/4 of the shapes are squares.
Given that,
To draw a set of shapes where 3/4 of the shapes are squares.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
There are 3 squares and 1 nonregular quadrilateral, total = 4
the ratio of 3 squares to the total shapes = 3 / 4
Thus, Images has been attached showing 3/4 of the shapes are squares.
Learn more about congruent geometry here. https://brainly.com/question/12413243
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