Answer:
1. 1/80 = 0.0125
2. 1/2 = 0.5
3. 280
4. 23.09
5. 1/2 = 0.5
Step-by-step explanation:
1. height of probability density function
\(\frac{1}{320-240} \\= \frac{1}{80}\)
= 0.0125
2. probabilty that you will win the auction given a bid of 280
= \(\frac{280-240}{320-240} \\=\frac{40}{80} \\= \frac{1}{2}\)
3. mean secret service price
\(\frac{320+240}{2} \\=\frac{560}{2} \\= 280\)
4. the standard deviation of the above
= (320-240)/12^1/2
= 23.09
5. with a new bid of 300 dollars, probability you will win auction
= [(300-280)/(320-240)]/[(320-280)/(320-240)
= (20/80) / (40 /80)
= 0.25/0.5
= 0.5
.........................................................
Answer:
..............................what this
Are the statements true or false?
Select True or False for each statement.
Statement True False
1/ 4 · 3/ 4 = 3 /4 · 1/ 4
3/4÷2/5=2/5÷3/4
Answer:
It Is true and then false
Step-by-step explanation:
Three cards are drawn with replacement from a standard deck of 52 cards. Find the the probability that the first card will be a spade, the second card will be a red card, and the third card will be a queen. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Probability is expressed as
number of favorable outcomes/number of total outcomes
In a standard deck of cards, the total number of cards is 52.
There are 13 spades in a standard deck. Thus,
probability of selecting a spade = 13/52 = 1/4
There are 26 red cards in a standard deck of cards. Since the first card was replaced, the total number of cards remains 52.
probability of selecting a red card = 26/52 = 1/2
There are 4 queens in a standard deck of cards. Since the second card was also replaced, total number of cards is still 52. Thus,
Probability of selecting a queen = 4/52 = 1/13
Thus, the probability that the first card will be a spade, the second card will be a red card, and the third card will be a queen is
1/4 x 1/2 x 1/13
= 1/104
Another question (sorry)
Answer:
19.99
Step-by-step explanation:
First you would multiply .44 by 16 to get 7.04
then you would add 12.95 to get 19.99
Can someone help me pls!
This question is about how transformations can affect graphs.
First, we'll want to get rid of that -4 on the function of F.
So we can reflect the function over the y-axis and then compress it by a factor of 4 to make the graph \(x^2\).
Then we can move the graph over to the left 3 because the c value is positive, meaning that we move the graph over to the left.
Finally, we can move the function of by \(\frac{2}{3}\) because the d value is positive, meaning that we move the graph up.
Hope this helps.
頑張って!
In Washington County,1/16 of the adults polled said they enjoyed gardening. In Webster County, 5 out of 76 adults polled said they liked to garden. Which county has a greater fraction of adults who enjoy gardening?
Step-by-step explanation:
1/16 for Washington County.
5/76 for Webster County.
so, let's bring both to the same denominator (bottom part of the fractions).
this is usual the LCM of both denominators.
since 16 = 2×2×2×2
76 = 2×2×19
the least common multiple (LCM) is the combination of the longest sequence per prime factor involved :
2×2×2×2×19 = 16×19 = 304
1/16 = 19/304
5/76 = 5× 1/76 = 5× 4/304 = 20/304
so, now we know, 20/304 > 19/304, and therefore Webster County has the greater fraction of adults, who enjoy gardening.
by how much is Rs. 2690 less than Rs. 3780?
Answer:
1090
Step-by-step explanation:
Hope it helps u
mark brainlist pls
2x-3y=6 and x+3y=3
help me I cannot understand it please in substitution method
Answer:
\(thank \: you\)
Answer:
Take 2x- 3y= 6 as equation 1
And
x+ 3y= 3 as equation 2
Now add both equation
2x - 3y = 6
x + 3y = 3
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
3x 0 = 9
We can also write 3x 0= 9 as 3x = 9
Now we have to solve 3x =9
3x = 9
x = 9/3
x= 3
I hope this will help you
Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
3
Step-by-step explanation:
because is a hcsbjmcscin C d
Answer:
the right answer is x = 3 and x= -1/2
Step-by-step explanation:
I took the test.
Need help with all of these!!! ASAP!!
15, 16, 17, 18!!!
Answer:
15. A
16. B
17. B
18. C
Step-by-step explanation:
5h-6-8+7h what’s the answer ?
Again help is needed
9514 1404 393
Answer:
5.0 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relationship.
Sin = Opposite/Hypotenuse
sin(38°) = x/8.2
x = 8.2·sin(38°) ≈ 5.048
x ≈ 5.0 . . . . feet
Plz help (x+10)(x+3) expand and simplify
Given that proposition p is false, proposition q is true, and proposition r is false. Determine if each of the propositions below are true or false а. ┐р V ┐q b. ┐p V ┐(qΛ r)
c. (pV┐r) Λ ((q V r) V ┐(r V p))
a. The proposition becomes: true V false = true So, the proposition is true.
b. The proposition becomes: true V true = true So, the proposition is true.
c. The proposition becomes: true Λ true = true So, the proposition is true.
Recall that the truth values of compound propositions depend on the truth values of their component propositions and the logical connectives used.
Given that p is false, q is true, and r is false, we can determine the truth value of each of the propositions below:
a. ┐p V ┐q
Using the truth values of p and q, we have:
┐p = true
┐q = false
Therefore, the proposition becomes:
true V false = true
So, the proposition is true.
b. ┐p V ┐(qΛ r)
Using the truth values of p, q, and r, we have:
qΛ r = false (since r is false)
┐(qΛ r) = true
┐p = true
Therefore, the proposition becomes:
true V true = true
So, the proposition is true.
c. (pV┐r) Λ ((q V r) V ┐(r V p))
Using the truth values of p, q, and r, we have:
pV┐r = true
r V p = true
┐(r V p) = false
q V r = true
Therefore, the proposition becomes:
true Λ true = true
So, the proposition is true.
for such more question on proposition
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can a three set problem has negative intersection?
Answer:
yes
Step-by-step explanation:
yes but not a postitive one
Answer:
i think so yeah
Step-by-step explanation:
Suppose you do not know the population mean fee charged to H&R Block customers last year. Instead, suppose you take a sample of size n-8 and find a sample mean of 350. Assume that the distribution for fees is normally distributed with a sample standard deviation of $100.
i. Before conducting the survey, suppose you believed based on your previous observations, your best guess for population standard deviation of fee charged to H&R Block is $50. With this assumption in mind, What should your sample size n approximately be if you want:
Margin-of-Error of to be 2 % and confidence level to be 95 %?
Margin-of-Error of to be 4% and confidence level to be 95%?
Margin-of-Error of to be 4 % and confidence level to be 99%?
ii. 90% confidence interval for the population mean of fees H&R Block.
a. Calculate the margin of error (MOE) of x using a 10% significance level.
b. Calculate the 90 % confidence interval.
c. Suppose an analyst belief that the population mean fee is equal to $185. Using a 90% confidence level. can we conclude the analyst is right? Why or why not?
Answer:
i \(\to\) a
\(n = 96040000\)
i \(\to\) b
\(n_1 =24010000\)
i \(\to\) c
\(n_2 =41602500\)
ii\(\to\)a
\(E = 58.16\)
ii\(\to\)b
\(291.84 < \mu < 408.16\)\
ii\(\to\)c
There is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval
Step-by-step explanation:
From the question we are told that
The sample size is \(n = 8\)
The sample mean is \(\= x = \$ 350\)
The sample standard deviation is \(\$ 100\)
Considering question i
i \(\to\) a
At \(E = 0.02\)
given that the confidence level is 95% = 0.95
the level of significance would be \(\alpha =1-0.95 = 0.05\)
The critical value of \(\frac{\alpha }{2}\) from the normal distribution table is
\(Z_{\frac{ \alpha }{2} } = 1.96\)
So the sample size is mathematically evaluated as
\(n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2\)
=> \(n =[ \frac{ 1.96 * 100}{ 0.02} ]^2\)
=> \(n = 96040000\)
i \(\to\) b
At \(E_1 = 0.04\) and confidence level = 95% => \(\alpha_1 = 0.05\) => \(Z_{\frac{\alpha_1 }{2} } = 1.96\)
\(n_1 = [ \frac{Z_{\frac{\alpha_2 }{2} } * \sigma }{E_1} ]^2\)
=> \(n_1 =[ \frac{ 1.96 * 100}{ 0.04} ]^2\)
=> \(n_1 =24010000\)
i \(\to\) c
At \(E_2 = 0.04\) confidence level = 99% => \(\alpha_2 = 0.01\)
The critical value of \(\frac{\alpha_2 }{2}\) from the normal distribution table is
\(Z_{\frac{ \alpha_2 }{2} } = 2.58\)
=> \(n_2 = [ \frac{Z_{\frac{\alpha_2 }{2} } * \sigma }{E_2} ]^2\)
=> \(n_2 =[ \frac{ 2.58 * 100}{ 0.04} ]^2\)
=> \(n_2 =41602500\)
Considering ii
Given that the level of significance is \(\alpha = 0.10\)
Then the critical value of \(\frac{\alpha }{2}\) from the normal distribution table is
\(Z_{\frac{\alpha }{2} } = 1.645\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
substituting values
\(E = 1.645 * \frac{100 }{\sqrt{8} }\)
\(E = 58.16\)
Generally the 90% confidence interval is mathematically evaluated as
\(\= x - E < \mu < \= x + E\)
=> \(350 - 58.16 < \mu < 350 + 58.16\)
=> \(291.84 < \mu < 408.16\)
So the interpretation is that there is 90% confidence that the mean fee charged to H&R Block customers last year is in the interval .So there is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval.
Picture included!!! Please help! Suppose a = 10 and b = 24. Give the value of each of the following. Give answers as integers or rounded to 2 decimal places as appropriate.
Answer:
A = 22.62°
B = 67.38°
c = 26
Step-by-step explanation:
\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)
\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios
\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)
There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.
PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
triumphant college is planning to increase the registration fee by 11.5%.if the registration fee is currently N$ 1000, how much will it be next year?
Current registration fee at triumphant college = N$ 1000
Percentage by which the registration fee will be increased next year = 11.5%
Registration fee at triumphant college next year :
= Current registration fee + 11.5% of current registration fee
\( =\tt1000 + \frac{115}{10 \times 100} \: \: of \: \: 1000\)
\( = \tt1000 + \frac{115}{1000} \times 1000\)
\( =\tt 1000 + \frac{115000}{1000} \)
\( =\tt 1000 + 115\)
\(\color{plum} = \tt \:\bold{ N\$ \: 1115}\)
Therefore, the registration fee at triumphant college next year = N$ 1115
evaluate that equation 3√1÷125
Answer:
0.2683281573
Step-by-step explanation:
1. How many cups or fraction of a cup of salsa will this recipe make…recipe is : 1/3 cup of olive oil , 1/6 cup of diced tomatoes , pinch of pepper , pinch of salt. It makes 6 servings. 2. If this recipe makes 6 servings how much salsa would there be in 1 serving ?
Step-by-step explanation:
1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2
so, it makes 1/2 cup of salsa (ignoring the minimal volume of pepper and salt).
1/2 cup = 6 servings
1 serving = 1/2 / 6 = 1/(2×6) = 1/12 cup
solve by completing the square:
x^2+3x-70=0 (Answer: -10, 7)
x^2=-10x-30 (Answer: { })
help and with explanation; will give brainliest
Answer:
Step-by-step explanation:
x² + 3x - 70 = 0
x² + 3x = 70
x² + 3x + (3/2)² = 70 + (3/2)²
(x + 3/2)² = 70 + 9/4 = 289/4 = (17/2)²
so
x + 3/2 = ±17/2
x = ±17/2 - 3/2
x₁ = 17/2 - 3/2 = 14/2 = 7
x₂ = -17/2 - 3/2 = -20/2 = -10
x² = -10x - 30
x² + 10x = -30
x² + 10x + (10/2)² = -30 + (10/2)²
x² + 10x + 25 = -30 + 25 = -5
(x + 5)² = -5
\(x+5 = \pm\sqrt{-5}\\x + 5 = \pm i \sqrt{5}\\x = -5\pm i \sqrt{5}\\\\x_1 = -5+ i \sqrt{5}\\\\x _2= -5- i \sqrt{5}\\\)
Help ASAP PLSSS!! I’d really appreciate it! Thank youuu!
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
Learn more about the triangle here:
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what does when mean in math
Answer:
the mean is when you add all the numbers together and divide by how many numbers there are like
10+10+10+10+ = 40/4 = 10
consider the following system of equations. how solutions does it have (infinite, one, or no solutions). explain how you can tell without solving the system.3y = -6x + 9y= -2x + 3
The equation of line are,
3y = -6x + 9
y = -2x + 3.
Simplify the equation 3y = -6x + 9.
\(\begin{gathered} 3y=-6x+9 \\ y=\frac{1}{3}(-6x+9) \\ =-2x+3 \end{gathered}\)So equation 3y = -6x + 9 is equal to y = -2x + 3. The equation has same slope and y intercept. Thus lines lie on each other on the graph and have infinite many solution.
Answer: Infinite solutions
Let f(x) = 9x and g(x) = x + 7. What's
the smallest number that is in the domain of
fºg?
Enter the correct answer.
OOOO
DONE
Clear all
Answer:
Let `f` be a function defined on [0,2]. Then find the domain of function `g(x)=f(9x^2-1)
Step-by-step explanation:
I'm not sure if that's right
394434
3,757
Hi My name is Ella and I need help
Answer:
39,443
-
3,757=
36, 3 1 1 4
Number 17 and 18 pls ASAP thanks
A box of tangerines that weighs 5 pounds costs $4.25.
What is the cost per pound?
Answer:
$0.85
Step-by-step explanation:
$4.25 divided by 5 pounds equals $0.85 per pound.
Answer:
$0.85
Step-by-step explanation:
Find the unit rate.
4.25/5=x/1
Solve for x. X= 4.25/5=0.85
So 1 lb of tangerines costs $0.85.