Answer:
The significance level for this case would be [tex]\alpha=1-0.95=0.05[/tex] and the critical value for this case would be:
[tex] z_{\alpha/2}=1.96[/tex]
The margin of error is given by:
[tex] ME = z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
And replacing we got:
[tex] ME = 1.96 \sqrt{\frac{0.23*(1-0.23)}{146}} =0.0683[/tex]
And the margin of error for this case would be [tex] ME = 0.07[/tex]
Step-by-step explanation:
For this case we have the following dataset given:
[tex] n= 146[/tex] represent the sample size
[tex] \hat p =0.23[/tex] represent the estimated proportion of interest
[tex] Conf=0.95[/tex] represent the confidence level
The significance level for this case would be [tex]\alpha=1-0.95=0.05[/tex] and the critical value for this case would be:
[tex] z_{\alpha/2}=1.96[/tex]
The margin of error is given by:
[tex] ME = z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
And replacing we got:
[tex] ME = 1.96 \sqrt{\frac{0.23*(1-0.23)}{146}} =0.0683[/tex]
And the margin of error for this case would be [tex] ME = 0.07[/tex]
Mauro has 140 feet of rope he will cut it into two peices so that the length of the longer peice is 3 times the length of the shorter peice
darius is camping in the woods. he notices on a map that his campsite is 50 yards from the ranger station. he walks 18 yards towards the ranger station the tree forms the altitude of a right triangle that connects the top of the tree darius's campsite, and the ranger station. sketch a diagram of the situation and determine the angle of depression formed by darius sightline to the ranger station.
Answer:
The angle of depression formed by Darius's sight line to the ranger station is 53.13°.
Step-by-step explanation:
Denote Darius's camp site as C, the ranger station as R and the tree as T.
Consider the triangle CTR.
TX is the altitude of the right angled triangle TXR.
The altitude of a right angled triangle forms two triangle that similar to each other.
So, ΔTXC [tex]\sim[/tex] ΔTXR.
Compute the measure of TX as follows:
[tex]\frac{CX}{TX}=\frac{TX}{RX}\\\\TX^{2}=CX\times RX\\\\TX=\sqrt{CX\times RX}[/tex]
[tex]=\sqrt{18\times 32}\\\\=24\ \text{yd}[/tex]
The angle d represents the angle of depression formed by Darius's sight line to the ranger station.
Compute the value of d as follows:
[tex]tan\ d^{o}=\frac{RX}{TX}\\\\d^{o}=tan^{-1} [\frac{RX}{TX}][/tex]
[tex]=tan^{-1} [\frac{32}{24}]\\\\=53.13[/tex]
Thus, the angle of depression formed by Darius's sight line to the ranger station is 53.13°.
A right triangle is shown. The length of the hypotenuse is 4 centimeters and the lengths of the other 2 sides are congruent. The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle? 2 cm 2 StartRoot 2 EndRoot cm 4 cm 4 StartRoot 2 EndRoot cm
Answer:
The leg measures 2 I believe
Step-by-step explanation:
Since the squares of the legs equal C ([tex]A^{2} +B^{2} = C^{2}[/tex]) the square root of 16 would be 4.
The Pythagorean theorem is a basic relationship between the three sides of a right triangle. The length of one leg of the triangle is 2√2 cm.
What is the Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
[tex]\rm (Hypotenuse)^2 =(Perpendicular)^2 + (Base)^2[/tex]
Let the length of the perpendicular be x.
Given the length of the hypotenuse is 4 centimeters, while the length of the other two sides is the same, therefore, the length of the other two sides is x. Therefore, using the Pythagorus theorem we can write,
[tex]\rm (Hypotenuse)^2 =(Perpendicular)^2 + (Base)^2[/tex]
[tex]4^2 = x^2+x^2\\\\16=2x^2\\\\8=x^2\\\\x= 2\sqrt2[/tex]
Hence, the length of one leg of the triangle is 2√2 cm.
Learn more about Pythagoras Theorem:
https://brainly.com/question/14461977
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Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer values. If an answer does not exist, enter DNE.) f(θ)=6cosθ+3sin2θ g
Answer:
The critical value of [tex]f(\theta) = 6\cdot \cos \theta + 3\cdot \sin 2\theta[/tex] are given by [tex]\theta \approx 0.091\pi \pm 2\pi\cdot n[/tex] or [tex]\theta \approx 0.909\pi \pm 2\pi \cdot n[/tex], [tex]\forall \,n \in \mathbb{N}[/tex]
Step-by-step explanation:
The function to be evaluated is [tex]f(\theta) = 6\cdot \cos \theta + 3\cdot \sin 2\theta[/tex], the first derivative of the function must be taken in order to determine the set of critical numbers. Each derivative are found by using the differentiation rule for a sum of functions and rule of chain and subsequently simplified by trigonometric and algebraic means:
First derivative
[tex]f'(\theta) = - 6 \cdot \sin \theta +6\cdot \cos 2\theta[/tex]
[tex]f'(\theta) = -6\cdot \sin \theta + 2\cdot (\cos^{2}\theta-\sin^{2}\theta)[/tex]
[tex]f'(\theta) = -6\cdot \sin \theta + 2\cdot [(1-\sin^{2}\theta-\sin^{2}\theta)][/tex]
[tex]f'(\theta) = -6\cdot \sin \theta + 2\cdot (1-2\cdot \sin^{2}\theta)[/tex]
[tex]f'(\theta) = -6\cdot \sin \theta + 2 - 4\cdot \sin^{2}\theta[/tex]
[tex]f'(\theta) = -4\cdot \sin^{2}\theta - 6\cdot \sin \theta +2[/tex]
The procedure to determine the critical number of the given function are described briefly:
1) First derivative is equalised to zero.
2) The resultant equation is solved.
Then,
[tex]-4\cdot \sin^{2}\theta - 6\cdot \sin \theta +2 = 0[/tex]
Whose roots are:
[tex]\sin \theta_{1} \approx 0.281[/tex] and [tex]\sin \theta_{2} \approx -1.781[/tex]
The sine function is a continuous function with a range between 1 and -1, so, only the first root offers a realistic solution. In addition, such function is positive at first and second quadrants and has a periodicity of [tex]2\pi[/tex] radians, the family of critical values are determined by the unse of inverse trigonometric functions:
[tex]\theta \approx \sin^{-1} 0.281[/tex]
There are two subsets of solutions:
[tex]\theta \approx 0.091\pi \pm 2\pi\cdot n[/tex] or [tex]\theta \approx 0.909\pi \pm 2\pi \cdot n[/tex], [tex]\forall \,n \in \mathbb{N}[/tex]
Module 7
When you multiply a difference of two squares, why is your answer a binomial instead of a trinomial like when you multiply the sum of two squares? Create an example of multiplying a difference of two squares and show your work as you simplify the expression.
WILL GIVE BRAINLIEST
Answer:
When you multiply a difference of squares, two terms cancel each other out and result in a binomial instead of a trinomial. To understand this, you can use an example.
When you multiply (x-3) and (x+3), you can use FOIL to expand them. By doing this, you get x^2-3x+3x-9. As you can see, -3x and 3x cancel each other out, so this results in a binomial instead of a trinomial.
Answer:
when you multiply them the two terms cancel each other out which will result in a binominal
Step-by-step explanation:
Scotland Beauty Products manufactures face cream, body lotion, and liquid soap in a joint manufacturing process. At the split-off point, the company has 300 pounds of face cream, 200 pounds of body lotion, and 300 pounds of liquid soap and has incurred $200,000 in joint costs. Using the physical units method, allocate the joint costs to: a. Face Cream $ b. Body Lotion $ c. Liquid Soap $
Answer:
a. 75,000
b. 50,000
c. 75,000
Step-by-step explanation:
The computation of allocating the joint cost using the physical units method is shown below:
[tex]Allocation\ rate = \frac{Joint\ costs}{Total\ number\ of\ products}[/tex]
[tex]= \frac{\$200,000}{300 + 200 + 300}[/tex]
[tex]Allocation\ rate = \frac{200,000}{800}[/tex]
= 250
For face cream
[tex]= Unit\ produced\times Allocation\ rate[/tex]
= [tex]300\times 250[/tex]
= 75,000
For body lotion
[tex]= Unit\ produced\times Allocation\ rate\\\\ = 200\times 250[/tex]
= 50,000
For Liquid soap
[tex]= Unit\ produced\times Allocation\ rate\\\\ = 300\times 250[/tex]
= 75,000
hence, we simply applied the above formula by multiplying the units produced with the allocation rate so that each one allocation cost could come
QUESTION 6
Find Future Value Using Compound Interest Formula:
You deposit $300 in an account earning 7% interest compounded semi-annually. How much will you have in the account in 20 years?
A. $720
B. $596.94
C. $1,187.78
D. $1,140
QUESTION 7
Find Future Value Using Compound Interest Formula:
You deposit $3,000 in an account earning 3% interest compounded monthly. How much will you have in the account in 15 years?
A. $3,091.25
B. $4,702.30
C. $4,507.25
D. $3,033.62
34% of U.S. adults have very little confidence in newspapers. You randomly select eight U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly six, (b) at least four, and (c) less than five.
Which is the graph of x - y = 1?
Answer:
This question is very simple,
Ok first you will need to find the x and y intercepts by letting y=0 and x=0
First let x=0
so, 0-y=1
y=-1
let y=0
x-0=1
x=1
now we know
x-intercept=(1,0)
y-intercept=(0-1)
Hence, find the graph that has the two corresponding points and that would be the graph you are looking for.
Step-by-step explanation:
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 559 randomly selected Americans surveyed, 370 were in favor of the initiative. Round answers to 4 decimal places where possible.
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between and .b. If many groups of 506 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
[tex]p=X/n=370/559=0.6619[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02[/tex]
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948[/tex]
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
You buy six pens for $2.99 each, and sales tax is 10%. How much change should you receive from a clerk if you give her a $20 bill?
Answer:
$2.06
Step-by-step explanation:
$2.99 x 6 = $17.94
$20.00 - $17.94 = $2.06
Hope this helps
Answer: $0.26
Step-by-step explanation:
Cost of 6 pens
= 2.99 x 6
= 17.94
Add sales tax at 10%,
= 17.94 x 1.1
= 19.74
Change due to me
= 20 - 19.74
= 0.26
If you can get an answer to any question, what would you ask? You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Heads? b) you get at least one Tail?
Answers:
a) 0.0625
b) 0.9375
==================================================
Work Shown:
The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625
The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375
You can think of it like this
P(getting all four heads) + P(getting at least one tail) = 1
The phrasing "at least one tail" means "one tail or more".
A survey asks, "If the husband in a family wants children, but the wife decides that she does not want any children, is it all right for the wife to refuse to have children?" Of 705 subjects, 581 said yes. a. Find a 99% confidence interval for the population proportion who would say yes. (Use ascending order. Round to four decimal places as needed.) Can you conclude that the population proportion exceeds 75%? Why? in 2 A. No, we cannot conclude that the population proportion exceeds 75%, because 75% is below the lowest believable value of the confidence interval B. Yes, we can conclude that the population proportion exceeds 75% because 75% is above the lowest believable value of the confidence interval C. No, we cannot conclude that the population proportion exceeds 75% because 75% is above the lowest believable value of the confidence interval D. Yes, we can conclude that the population proportion exceeds 75% because 75% is below the lowest believable value of the confidence interval. b. Without doing any calculations, explain whether the interval in (a) would be wider or narrower than a 95% confidence interval for the population proportion who would say yes. The 99% confidence interval would be wider than a 95% confidence interval. The 99% confidence interval would be narrower than a 95% confidence interval.
Answer:
a. The 99% confidence interval for the population proportion is (0.7872, 0.8610).
D. Yes, we can conclude that the population proportion exceeds 75% because 75% is below the lowest believable value of the confidence interval.
b. The 99% confidence interval would be wider than a 95% confidence interval.
As the confidence level increases, the width interval increases, as we are requiring more confidence with the same information (there is no new sample). This means that, to be more confident, the only way is to include more values in the interval.
Step-by-step explanation:
We have to calculate a 99% confidence interval for the proportion.
The sample proportion is p=0.8241.
[tex]p=X/n=581/705=0.8241[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8241*0.1759}{705}}\\\\\\ \sigma_p=\sqrt{0.000206}=0.0143[/tex]
The critical z-value for a 99% confidence interval is z=2.5758.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_p=2.5758 \cdot 0.0143=0.0369[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=p-z \cdot \sigma_p = 0.8241-0.0369=0.7872\\\\UL=p+z \cdot \sigma_p = 0.8241+0.0369=0.8610[/tex]
The 99% confidence interval for the population proportion is (0.7872, 0.8610).
We can conclude that there is, at least, 99% chances that the true proportion is higher than 0.7872. So there is at least 99% chances that the population proportion is higher than 0.75.
Not sure what it would be
Answer:
negative
Step-by-step explanation:
The slope of the line is negative because it goes from the upper corner down to the lower corner.
I remember it as negative because a rock would roll down it, if I would have to push it, it is positive.
Can you solve this????? Super hard!
Answer:
[tex]\textbf{J. }\dfrac{1}{x^2-x}[/tex]
Step-by-step explanation:
Factor the denominator and cancel the common factor.
[tex]\dfrac{x+1}{x^3-x}=\dfrac{x+1}{x(x^2-1)}=\dfrac{x+1}{x(x-1)(x+1)}=\dfrac{1}{x(x-1)}\\\\=\boxed{\dfrac{1}{x^2-x}}[/tex]
what fraction is greater than 2/5 but less than 3/5
Hey there! I'm happy to help!
You haven't provided any answer choices but I can show you a trick to find any number between two numbers. This is will give you an instant answer to one being greater than one number and less than another.
What you do is you add the two numbers and divide by two!
2/5+3/5=1
1÷2=1/2
Therefore, 1/2 is a possible answer here.
I hope that this helps! Have a wonderful day!
Sofia vai colar um pedaço de barbante no contorno de uma moldura quadrada de lado 20 cm. Qual deverá ser o comprimento desse barbante?
Answer:
A corda deve ter um comprimento mínimo de 80 cm.
The string should have a minimum length of 80 cm.
Step-by-step explanation:
Espera-se que a corda seja colada em todo o contorno da moldura quadrada.
Isso significa que a cadeia precisa cobrir pelo menos todo o perímetro da moldura quadrada pelo menos uma vez.
Perímetro de um quadrado = 4L
L = comprimento lateral do quadrado.
O comprimento lateral da moldura quadrada = 20 cm
Comprimento mínimo da corda necessária = Perímetro da moldura quadrada = 4 × 20 = 80 cm.
Espero que isto ajude!!!!
English Translation
Sofia is going to glue a piece of string to the outline of a square frame 20 cm from the side. How long should this string be?
Solution
The string is expected to be glued all around the outlne of square frame.
This means the string needs to at least cover the whole perimeter of the square frame a minimum of one time.
Perimeter of a square = 4L
L = side length of the square.
The side length of the square frame = 20 cm
Minimum length of the string required = Perimeter of the square frame = 4 × 20 = 80 cm.
Hope this Helps!!!!
i will give 50 points and brainliest
Answer:
240 m^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 16 and the height is 30
A =1/2 ( 16*30)
240 m^2
What are (a) the x component and (b) the y component of a vector in the xy plane if its direction is 250° counterclockwise from the positive direction of the x axis and its magnitude is 7.3 m?
Answer:
(-2.497, -6.860)
Step-by-step explanation:
For any magnitude r and direction θ, the translation to rectangular coordinates is ...
(r, θ) ⇒ (x, y)
(r, θ) ⇒ (r·cos(θ), r·sin(θ))
Your coordinates translate to ...
(7.3, 250°) ⇒ (7.3·cos(250°), 7.3·sin(250°)) ≈ (-2.497, -6.860)
2{ 3[9 + 4(7 -5) - 4]}
Answer:
2{3[9+4(7-5)-4]}
2{3[9+4(2)-4]}
2{3[13(2)-4]}
2{3[26-4]}
2{3[22]}
2{66}
132
Step-by-step explanation:
El numeral 32012(4) representado en el sistema decimal, porfavor
Answer: El número es 902 en el sistema decimal.
Step-by-step explanation:
Supongo que tenemos el número:
32012 en base 4, y lo queremos representar en base decimal.
Entonces, usando la regla general, podemos escribir este número como:
unidades*base^0 + decenas*base^1 + centenas*base^2......
Es decir, acá tenemos:
2*4^0 + 1*4^1 + 0*4^2 + 2*4^3 + 3*4^4 = 902
El número es 902 en el sistema decimal.
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Please answer fast!!!!
Answer:
4
Step-by-step explanation:
We are told that figure B is a scaled copy of B, which means figure A was enlarged by a certain scale factor to get a similar figure as A, now referred to as figure B.
The scale factor = ratio of any two corresponding sides of both similar figures.
Thus,
Scale factor of the similar figures given = 40/10 = 4.
This means that, figure A was scaled up by 4 times its original size to get figure B. Each side of figure B is 4 × the corresponding side in figure A.
Scale factor = 4
1) Suppose that a function f(x) is defined for all real values of x, except x = xo. Can anything be said about LaTeX: \displaystyle\lim\limits_{x\to x_0} f(x)lim x → x 0 f ( x )? Give reasons for your answer.
Answer:
Ok, we have that f(x) is defined for all real values of x, except for x = x0.
[tex]\lim_{x \to \ x0} f(x)[/tex]
Does it exist? why?
Remember that when we are taking the limit we are not evaluating the function in x0, instead, we are evaluating the function in values really close to x0 (values defined as x0⁺ and x0⁻, where the sign defines if we approach from above or bellow).
And because f(x) is defined in the values of x near x0, we can conclude that the limit does exist if:
[tex]\lim_{x \to \x0+} f(x) = \lim_{x \to \x0-} f(x)[/tex]
if that does not happen, like in f(x) = 1/x where x0 = 0
where the lower limit is negative and the upper limit is positive, we have that the limit does not converge.
If 16 student drove to school out of a class of 21, what percentage drove to school
Your answer would be 76.2% to the nearest tenth.
We can find this by first dividing 16 by 21 to get 0.7619. which is the proportion as a decimal. To convert this into a percentage, we need to multiply it by 100 to get 76.19% = 76.2% to the nearest tenth.
I hope this helps! Let me know if you have any questions :)
What is the volume of a cubed shaped box with edges 6 cm. in length?
Answer:
216 cm³
Step-by-step explanation:
The volume of a cube is denoted by V = s³, where s is the side length.
Here, the side length is 6 centimetres, so plug this into the formula to find V:
V = s³
V = 6³ = 6 * 6 * 6 = 216
The answer is thus 216 cm³.
~ an aesthetics lover
Answer:
216
Step-by-step explanation:
6³ = 216
Prepare the journal entries on December 31, 2019, for the 40 extended contracts (the first year of the revised 3-year contract).
This is not the complete question, the complete question is:
P18-1 (LO2,3) (Allocate Transaction Price, Upfront Fees)
Tablet Tailors sells tablet PCs combined with Internet service, which permits the tablet to connect to the Internet anywhere and set up a Wi-Fi hot spot. It offers two bundles with the following terms.
1. Tablet Bundle A sells a tablet with 3 years of Internet service. The price for the tablet and a 3-year Internet connection service contract is $500. The standalone selling price of the tablet is $250 (the cost to Tablet Tailors is $175). Tablet Tailors sells the Internet access service independently for an upfront payment of $300. On January 2, 2017, Tablet Tailors signed 100 contracts, receiving a total of $50,000 in cash.
2. After 2 years of the 3-year contract, Tablet Tailors offers a modified contract and extension incentive. The extended contract services are similar to those provided in the first 2 years of the contract. Signing the extension and paying $90 (which equals the standalone selling of the revised Internet service package) extends access for 2 more years of Internet connection. Forty Tablet Bundle A customers sign up for this offer.
INSTRUCTION
a) Prepare the journal entries when the contract is signed on January 2, 2019, for the 40 extended contracts. Assume the modification does not result in a separate performance obligation.
b) Prepare the journal entries on December 31, 2019, for the 40 extended contracts (the first year of the revised 3-year contract).
Answer:
Step-by-step explanation:
(A)
Date Particulars Debit Credit
2-Jan-19 Cash 3600
Unearned Service Revenue 3600
40 * 90 = 3600
services in the extended period are the same as the services that were provided in the original contract period. As they are not distinct hence the modifications will be considered as part of the original contract.
(B)
Date Particulars Debit Credit
31-Dec-19 Unearned Service Revenue 2413
Service revenue 2413
internet = 300, price = 550, connection service = 500
(300/550) * 500 = 273
so
Original internet service contract = 40 * 273 = 10,920
Revenue recognized in 1st two years = 10,920 * 2/3 = 7280
Remaining service at original rates = 10920 - 7280 = 3640
Extended service = 3600
3640 + 3600 = $7240
7240 / 3 = $2413
The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound. If a sample of 4 fish is taken. What is the probability that the sample means will be more than 3.4 pounds?
Answer:
[tex]P(\bar X>3.4) = 0.385[/tex]
Step-by-step explanation:
Relevant Data provided according to the question is as follows
[tex]\mu[/tex] = 3.2
[tex]\sigma[/tex] = 0.8
n = 4
According to the given scenario the calculation of probability that the sample means will be more than 3.4 pounds is shown below:-
[tex]z = \frac{\bar X - \mu}{\frac{a}{\sqrt{n} } }[/tex]
[tex]P(\bar X>3.4) = 1 - P(\bar X\leq 3.4)[/tex]
[tex]= 1 - P \frac{\bar X - \sigma}{\frac{a}{\sqrt{n} } } \leq \frac{3.4 - \sigma}{\frac{a}\sqrt{n} }[/tex]
Now, we will solve the formula to reach the probability that is
[tex]= 1 - P \frac{\bar X - 3.2}{\frac{0.8}{\sqrt{4} } } \leq \frac{3.4 - 3.2}{\frac{0.8}\sqrt{4} }[/tex]
[tex]= 1 - P (Z \leq \frac{0.2}{0.4})[/tex]
[tex]= 1 - P (Z \leq 0.5})[/tex]
[tex]= 1 - \phi (0.5)[/tex]
= 1 - 0.6915
= 0.385
Therefore the correct answer is
[tex]P(\bar X>3.4) = 0.385[/tex]
So, for computing the probability we simply applied the above formula.
Answer:
its 21
Step-by-step explanation:
its not 21 i really dont know
Approximating square roots
Go to le
Without using a calculator, choose the statement that best describes the value of 215.
Choose 1 answer:
The value of 215 is between 13 and 13.5.
The value of 215 is between 13.5 and 14.
The value of 215 is between 14 and 1.5.
The value of v 215 is between 14.5 and 15.
Step-by-step explanation:
We know that
14^2=196, and
15^2=225
so we know that sqrt(215) is between 14 and 15.
How do we know if it is between 14.5 and 15?
we need to know the value of 14.5^2, which we can calculate in the head as follows:
The square of all numbers ending in 5 such as 15 can be calculated by breaking up the 5 and the preceding digit(s),
The preceding digit is 1. We multiply 1 by the next integer, 2 to get 2.
Attach 25 to 2 gives us 225 (as we saw above.
Example, 145*145 = 14*15 | 25 = 210 | 25 = 21025
so
14.5^2 = 210.25, which gives the more precise answer that
14.5^2 < 215 < 15^2, or
14.5 < sqrt(215) < 15 (fourth choice)
Since the third choice says sqrt(215) is between 14 and 1.5 (not 15), so the third choice is incorrect.
Note: if we eliminated the third choice, i.e. discard the likelihood of typo in the question, the only one left is the fourth choice.
What are the two shapes of cross sections we could create by slicing the pyramid
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Step-by-step explanation:
Log T = 11.8 + 1.5.M (with T is the amount of energy released by the earthquake, Log refers to the logarithm to the base 10)
-->T = [tex]10^{11.8 +1.5*6.5}[/tex] ≈3.458 *[tex]10^{21}[/tex]
Answer: 2.00 x 10¹⁰⁹
Step-by-step explanation:
log T = 11.8 + 1.5M
Given: M = 6.5
log T = 11.8 + 1.5(6.5)
log T = 11.8 + 9.75
log T = 21.55
T = 10²¹⁻⁵⁵
T = 1.995 x 10¹⁰⁹
T = 2.00 x 10¹⁰⁹ rounded to the nearest hundredth