Mathematics College
Answers
Answer 1
Answer:
72 songs.
Step-by-step explanation:
0.07 x $100 = 7
100 - 7 = $93
$93/$1.29 = 72.093 ⇒ 72 songs
Related Questions
Which statement is true about the diagram?
Answers
There is no diagram
Suppose you want to accumulate $ 150,000 for your retirement in 30 years. You want
to make a one-time deposit. How much should you deposit into an account with
continuous compounding at an APR of 4.8%? Round your answer to the nearest cent.
Answers
Answer:
$61,500
Step-by-step explanation:
$61,500
x
4.8% (.048)
=
$2952 yearly
x
30 years
=
$88,560
+
Initial Deposit of $61,500
=
$150,060
You are riding your bike up Elm Trail towards Deer Trail. You plan to make a left turn on to Deer Trail. What is the angle measure of the turn?
Answers
Answer:
90 degrees
Step-by-step explanation:
This question can be explained using the plan x and y axis.
Suppose you are moving from any positive point on x axis which can be considered Elm trail
let say point be (5,0).
Now you move at origin and
then take left turn,
your left turn at origin will be negative side of y axis(which can be considered Deer trail)
hence, you move on negative y axis.
Since we know that angle of intersection of x and y axis is 90 degrees.
Thus, angle measure of turn is 90 degrees.
What value of x is in the solution set of 4x – 12 5 16 + 8x?
-10
-9
-8
-7
Answers
Answer:
[tex] 4x-12= 16 +8x[/tex]
And we can subtract 4x in both sides and we got:
[tex] -12 = 16 +4x[/tex]
Now we can subtract in both sides 16 and we got:
[tex] -28 = 4x[/tex]
And if we divide both sides by 4 we got:
[tex] x = -7[/tex]
And the best solution would be:
-7
Step-by-step explanation:
For this case we assume the following equation:
[tex] 4x-12= 16 +8x[/tex]
And we can subtract 4x in both sides and we got:
[tex] -12 = 16 +4x[/tex]
Now we can subtract in both sides 16 and we got:
[tex] -28 = 4x[/tex]
And if we divide both sides by 4 we got:
[tex] x = -7[/tex]
And the best solution would be:
-7
Factorize: [tex]x^2-2x-35=0[/tex]
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
x₁ = -5
x₂ = 7
▹ Step-by-Step Explanation
x² - 2x - 35 = 0
x² + 5x - 7x - 35 = 0
x(x + 5) - 7x - 35 = 0
x(x + 5) - 7(x + 5) = 0
(x + 5)(x - 7) = 0
x + 5 = 0 → 0 - 5 = -5
x - 7 = 0 → 0 + 7 = 7
x₁ = -5
x₂ = 7
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
X = -5 X = 7
Step-by-step explanation:
[tex] {x}^{2} - 2x - 35 = 0[/tex]
Write -2x as a difference
[tex] {x}^{2} + 5x - 7x - 35 = 0[/tex]
Factor out X from the expression
[tex]x(x + 5) - 7x - 35 = 0[/tex]
Factor out -7 from the expression
[tex]x(x + 5) - 7(x + 5) = 0[/tex]
Factor out x+5 from the expression
[tex](x + 5)(x - 7) = 0[/tex]
When the product of factors equals to 0, at least one factor is 0
[tex]x + 5 = 0[/tex]
[tex]x - 7 = 0[/tex]
Either,
[tex]x + 5 = 0[/tex]
[tex]x = 0 - 5[/tex]
[tex]x = - 5[/tex]
Or,
[tex]x - 7 = 0[/tex]
[tex]x = 0 + 7[/tex]
[tex]x = 7[/tex]
Hope this helps...
Best regards!!
Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (if it is actually spam) 95% of the time. On the other hand, if an email isn't spam, the test will incorrectly classify it as spam 5% of the time. The prevalence of spam emails is 3 in 10.i) What's the probability that an email picked at random is spam? What's the probability that an email picked at random isn't spam?ii) If you test an email and it reports positive for spam, what is the probability that it is spam? Show your work.iii) If you test an email and it reports negative for spam, what is the probability that it is spam? Show your work.
Answers
Answer and Step-by-step explanation:
The computation is shown below:
Let us assume that
Spam Email be S
And, test spam positive be T
Given that
P(S) = 0.3
[tex]P(\frac{T}{S}) = 0.95[/tex]
[tex]P(\frac{T}{S^c}) = 0.05[/tex]
Now based on the above information, the probabilities are as follows
i. P(Spam Email) is
= P(S)
= 0.3
[tex]P(S^c) = 1 - P(S)[/tex]
= 1 - 0.3
= 0.7
ii. [tex]P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}[/tex]
[tex]= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }[/tex]
[tex]= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}[/tex]
= 0.8906
iii. [tex]P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}[/tex]
[tex]= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }[/tex]
[tex]= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}[/tex]
= 0.0221
We simply applied the above formulas so that the each part could come
Answer:
0.0221
Step-by-step explanation:
Bijou wants to know more about the sports her friends play. Which of her questions below is NOT a statistical question?
Answers
Answer:
what? you need to take a picture
Step-by-step explanation:
Find the equation of a line which is perpendicular to y = 1/2x - 5 and goes throught the point (0, 0). Write your answer in the form y=mx+c.
Answers
Answer: y = -2x
Step-by-step explanation:
For a line to be perpendicular to another, it must have the opposite reciprocal slope. In this case, that means 1/2 becomes -2/1 or -2. For the line to pass through 0,0 the y intercept must be 0. Thus the line is y = -2x + 0, or y = -2x
Fourth term of (x − 2)^5
Answers
Answer:
-80x²
Step-by-step explanation:
When you expand the binomial, you should get:
[tex]x^5-10x^4+40x^3-80x^2+80x-32[/tex]
To find the 4th term, you must put the expression in standard form (which it is already) and find the 4th by counting left to right. Once you do so you should see your answer as -80x².
Need help with the problem 77
Answers
Hey there! :)
Answer:
∠A = 15.6°
Step-by-step explanation:
Use trigonometry to solve for ∠A. Since this involves the opposite and adjacent sides, tangent will be used. Therefore:
24/86 = arc tan x (inverse of tangent)
0.279 = arc tan x
x = 15.59° ≈ 15.6°.
Therefore:
∠A = 15.6°
Two angles of a pentagon are 141° and 150°. The other three are equal to each other. Find them
Answers
Answer: the other three angles are 83° each
Step-by-step explanation:
The Total of all the angles of a pentagon is 540° Subtract the 150 and 141.
540- 291 = 249. Divide by 3
249/3 = 83
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours.
Answers
Answer:
The probability of a bulb lasting for at most 552 hours.
P(x>552) = 0.0515
Step-by-step explanation:
Step(i):-
Given mean of the life time of a bulb = 510 hours
Standard deviation of the lifetime of a bulb = 25 hours
Let 'X' be the random variable in normal distribution
Let 'x' = 552
[tex]Z = \frac{x-mean}{S.D} = \frac{552-510}{25} =1.628[/tex]
Step(ii):-
The probability of a bulb lasting for at most 552 hours.
P(x>552) = P(Z>1.63)
= 1- P( Z< 1.63)
= 1 - ( 0.5 + A(1.63)
= 1- 0.5 - A(1.63)
= 0.5 -A(1.63)
= 0.5 -0.4485
= 0.0515
Conclusion:-
The probability of a bulb lasting for at most 552 hours.
P(x>552) = 0.0515
What is meant by "bias due to selective survival" in cross-sectional studies? Under what circumstances might there be no selective survival bias even if the selection probabilities are not all equal?Suppose that you could assess that the direction of possible selective survival bias in your study was towards the null. If your study data yielded a non-statistically significant odds ratio of 1.04, would it be correct to conclude that there was no exposure-disease association in your source population? Explain.
Answers
Answer:
What is meant by "bias due to selective survival" in cross-sectional studies?
First lets understand what is selective bias in cross-sectional studies. Basically its the bias that occurs when the random sample data for some analysis is selected in improperly. Such a selected sample is not able to represent the population that is to be analyzed. The reason is the improper randomization. So "bias due to selective survival" means that only the survival participants or survivors can be considered in this cross sectional studies. So if there is more probability of exposed cases to survive than unexposed cases or it could also be possible that unexposed cases have more probability to survive than exposed ones, so in either case the conclusion drawn from this cross sectional studies may differ from the proper cohort study. So the selective bias is introduced. Hence we can say that there is bias due to selective survival.
Step-by-step explanation:
Under what circumstances might there be no selective survival bias even if the selection probabilities are not all equal?
If the cross product of selection probabilities equals 1. Then there might be no selective survival bias even if the selection probabilities are not all equal. As we know that the cross product of odd ratio of selection probabilities is 1 means there is no relation between exposure and consequence or outcome and there is no bias in odd ratio.
Suppose that you could assess that the direction of possible selective survival bias in your study was towards the null. If your study data yielded a non-statistically significant odds ratio of 1.04, would it be correct to conclude that there was no exposure-disease association in your source population?
It would not be correct to conclude that there was no exposure-disease association in your source population because if the possible selective survival bias in the study was towards the null then this implies that the true odds ratio would be larger than 1.04. and therefore likely to be large and also differ statistically for the null value.
Answer:
Step-by-step explanation:
Such a selected sample is not able to represent the population that is to be analyzed. The reason is the improper randomization. So "bias due to selective survival" means that only the survival participants or survivors can be considered in this cross sectional studies.
Please answer this correctly
Answers
Answer:
50%
Step-by-step explanation:
not even = 2 nums
pnoteven = 2 ÷ 4 × 100
We are given 4 cards.
2 numbers are even and 2 numbers are odd.
So, 2/4 or 0.5 are odd
0.5 * 100% = 50%
Therefore, the answer is 50%.
Best of Luck!
Which of the following expressions are equivalent to − 19/8 ⋅ ( − 50 )? Choose all answers that apply:
Answers
Answer:
A.
Step-by-step explanation:
When we multiply the 2 negatives together, we will get a positive number. Since choice A, when you multiply them together, you will get a positive number. Therefore, your answer choice is A.
Answer:
A. [tex]- \frac{-19}{-8} (-50)[/tex]
Step-by-step explanation:
The product between two negative numbers is a possitive number. Then, if we multiply (-8) in the denominator by the (-1) we get:[tex]- \frac{-19}{-8} (-50)=\frac{-19}{-8\times{(-1)}} (-50)=\frac{-19}{8}(-50)[/tex], which equals the expression above.
Among all pairs of numbers (x,y) such that 4x+2y=30,find the pair for witch the sum of square, x^2+y^2 is minimum
Answers
Answer:
x = 6, y =3, and the minimum = 45
Step-by-step explanation:
There are plenty of ways to solve this problem.
The Lagranian multiplier method is chosen (it is simple to apply in this case).
Given: A = x^2 + y^2
Find: x and y that satisfy 4x + 2y = 30 or 4x + 2y - 30 = 0 and A is minimum.
This is the same as finding x, y, and lambda that make the following L minimum.
L= x^2 + y^2 + lambda(4x + 2y - 30)
To find x, y, and lambda, we take the derivative of L with respect to them, set the derivative to 0, and solve the equations.
L'(x) = 2x + 4(lambda) = 0 (1)
L'(y) = 2y + 2(lambda) = 0 (2)
L'(lambda) = 4x + 2y - 30 = 0 (3)
Multiply (2) by 2 and subtract to (1), we have:
4y - 2x = 0 (*)
Combine (*) with (3) we have:
4y - 2x = 0
4x + 2y - 30 = 0
Multiply the 1st equation by 2 and add to the 2nd equation:
=> 10y - 30 = 0
=> y = 3
=> x = 4y/2 = 4(3)/2 = 6 (as (*))
=> lambda = -y = -3 (as (2))
Substitute x = 6, y = 3, and lambda = -3 into L, or substitute x = 6 and y = 3 into A to get the minimum.
Both ways would lead to the same answer.
Check:
L = x^2 + y^2 + lambda(4x + 2y - 30)
= 6^2 + 3^2 + (-3)[4(6) + 2(3) - 30]
= 36 + 9 + (-3)(0)
= 45
A = x^2 + y^2
= 36 + 9
= 45
Hope this helps!
help!! answer quick will give brainliest
Answers
Answer:
second option
Step-by-step explanation:
The slopes of perpendicular lines have a product of -1. The slope of this line is 3 from the graph so the slope of our line will be -1/3. We know the slope of the line and a point (F, G) that belongs to the line so we can use point-slope form.
Point-slope form: y - y₁ = m(x - x₁) and we know that m = -1/3 and (x₁, y₁) = (F, G) so the answer is y - G = -1/3(x - F).
A triangle and a horizontal line are shown. If the triangle is revolved about the horizontal line, what is the resulting object? a triangle next to a horizontal line solid cylinder hollow cylinder solid cone hollow cone with truncated top
Answers
Answer:
d. solid cone
Step-by-step explanation:
Solid revolution is the general method used for revolving a given figure about a reference plane to produce a required solid. This process involves the generation of a 3 dimensional shape from a 2 dimensional figure.
A triangle is a three sided figure which generates a solid or hollow cone when it revolves about a given line. If the given triangle is made to revolve about the line, the resulting object would be a solid cone.
Answer:
the answer would be a solid cone
Step-by-step explanation:
i took the test and got it right.
BRAINLIEST PLS PLS PLS PLS I RLY NEED IT
The total number of students enrolled in MATH 123 this semester is 6,072. If it decreases by 0.76% for the next semester, what will be the enrollment next semester? Round to a whole person.
Answers
Answer:
6026
Step-by-step explanation:
6072 × (1 - 0.76%)
6072 × 0.9924
= 6025.8528
Round to the whole number.
The enrollment for next semester will be 6026.
What is the value of f(x) = 2 • 2x for f(–2)?
Answers
Answer:
-8
Step-by-step explanation:
Replace the x in f(x) = 2 • 2x with -2
f(-2) = 2 × 2 × (-2) ➡ f(-2) = -8
The number of violent crimes committed in a day possesses a distribution with a mean of 2.2 crimes per day and a standard deviation of 6 crimes per day. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean. Group of answer choices
Answers
Answer:
[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]
And replacing we got:
[tex]\mu_{\bar X}= 2.2[/tex]
[tex]\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex] \mu = 2.2[/tex] represent the mean
[tex]\sigma = 6[/tex] represent the deviation
We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:
[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]
And replacing we got:
[tex]\mu_{\bar X}= 2.2[/tex]
[tex]\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6[/tex]
calculate the area and perimeter of ring where a=7cm b=14cm
Answers
Answer:
Area of ring = 462 cm²
Perimeter of ring = 44 cm
Step-by-step explanation:
Given,
radius of inner ring = 7 cm
radius of outer ring = 14 cm
To find,
Area and perimeter of ring
Formula:
Area of circle = π Radius²
Perimeter of circle = 2π Radius
Area of inner ring = π Radius²
⇒ [tex]\frac{22}{7}[/tex] × [tex]7^{2}[/tex]
⇒ 22 × 7
⇒ 154 cm²
Area of outer ring = π Radius²
⇒ [tex]\frac{22}{7}[/tex] × [tex]14^{2}[/tex]
⇒ 22 × 14 × 2
⇒ 616 cm²
∴ Area of ring = 616 - 154 = 462 cm²
Perimeter of inner ring = 2π Radius
⇒ 2 × [tex]\frac{22}{7}[/tex] × 7
⇒ 44 cm
Perimeter of outer ring = 2π Radius
⇒ 2 × [tex]\frac{22}{7}[/tex] × 14
⇒ 88 cm
∴ Perimeter of ring = 88 - 44 = 44 cm
Suppose that the relationship between the tax rate t on imported shoes and the total sales S (in millions of dollars) is given by the function below. Find the tax rate t that maximizes revenue for the government. (Round your answer to three decimal places.)
S(t) = 7 â 6(cubedroot(t))
Answers
Answer:
66.992%
Step-by-step explanation:
[tex]Sales, S(t)=7-6\sqrt[3]{t}[/tex]
Since we want to maximize revenue for the government
Government's Revenue= Sales X Tax Rate
[tex]R(t)=t \cdot S(t)\\R(t)=t(7-6\sqrt[3]{t})\\=7t-6t^{1+1/3}\\R(t)=7t-6t^{4/3}[/tex]
To maximize revenue, we differentiate R(t) and equate it to zero to solve for its critical points. Then we test that this critical point is a relative maximum for R(t) using the second derivative test.
Now:
[tex]R'(t)=7-6*\frac{4}{3} t^{4/3-1}\\=7-8t^{1/3}[/tex]
Setting the derivative equal to zero
[tex]7-8t^{1/3}=0\\7=8t^{1/3}\\t^{1/3}=\dfrac{7}{8} \\t=(\frac{7}{8})^3\\t=0.66992[/tex]
Next, we determine that t=0.6692 is a relative maximum for R(t) using the second derivative test.
[tex]R''(t)=-8*\frac{1}{3} t^{1/3-1}\\R''(t)=-\frac{8}{3} t^{-2/3}[/tex]
R''(0.6692)=-3.48 (which is negative)
Therefore, t=0.66992 is a relative maximum for R(t).
The tax rate, t that maximizes revenue for the government is:
=0.66992 X 100
t=66.992% (correct to 3 decimal places)
A surveyor in a canyon takes measurements and draws the diagram shown.
Determine the length of a bridge that would stretch across the canyon to 1 decimal
place.
Answers
Answer:
[tex]\approx 118.4[/tex]
Step-by-step explanation:
We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:
[tex]c^2=a^2+b^2-2abcos(C)[/tex], where a and b are the sides and C is the angle in between.
Let's substitute 115 for a, 178 for b, and 41 for Angle C.
Thus:
[tex]c^2=115^2+178^2-2(115)(178)cos(41)[/tex]
[tex]c^2=44909-40940cos(41)[/tex]
[tex]c=\sqrt{44909-40940cos(41)}[/tex]
[tex]c \approx 118. 4[/tex]
What is the range of the function shown on the graph above?
Answers
Answer:
-9≤y≤8
Step-by-step explanation:
The range is the output values
Y goes from -9 to 8
-9≤y≤8
Answer:
-9≤y≤8
Step-by-step explanation:
That is the correct answer on plato.
quanto e 500x6-51-5x50
Answers
Answer:
2699
Step-by-step explanation:
you do all the multiplication first
500×6= 3000
5 ×50 = 250
so it becomes
3000-51-250 = 2699
Answer:
2699
Step-by-step explanation:
a) calculate the effects on Cook’s operating profit before and after the closure. Should the Eastern Division be closed? Show calculations.
b) the manager of Cook believes that if the Easter Division is closed, the Western Division will have an increase of $20,000 in sales. If this prediction proved to be true, should the company close the Eastern Division? Show calculations.
Answers
B the manager of cool believes that’s if the Easter
You have a savings account that offers an annual simple interest rate of 7%. You put $400 into the account. Select the graph showing the total interest you earn after 1, 2, 3, and 4 years.
Answers
Answer:
Line: I(x)= 28x+400
Step-by-step explanation:
Initial amount= $400
Interest rate= 7% simple
Total interest:
Year 1= $400+7%= 400+ 400*0.07= 400+28= 428Year 2= $400+2*7%= 400+400*0.07*2= 400+56= 456Year 3= $400+7%*3= 400+400*0.07*3= 400+84= 484Year 4= $400+7%*4= 400+400*0.7*4= 400+112= 512
The graph for this function will be a line with equation:
I(x)= 400+400*0.07x= 28x+400, where I- interest, x- year
In order to estimate the average electric usage per month, a sample of 196 houses was selected, and their electric usage determined. a) Assume a population standard deviation of 350 kilowatt hours. Determine the standard error of the mean. b) With a 0.95 probability, determine the margin of error. c) If the sample mean is 2,000 KWH, what is the 95% confidence interval estimate of the population mean
Answers
Answer:
a) SE = 25
b) MOE = 41
c) CI = 1951 ; 2049
Step-by-step explanation:
Normal distribution
Population mean unknown
Population standard deviation σ = 350 Kwh
a) The standard error of the mean SE is
SE = σ/√
SE = 350 /√196
SE = 350/14
SE = 25
b) If confidence nterval is 95% or 0,95 then
α = 0,05
And from z table we get z(c) = 1,64
MOE = z(c) * SE
MOE = 1,64 * 350/√196
SE = 1,64 * (350)/14
SE = 41
MOE = And from z tabl we get z(c) = 1,64
MOE = 1,64 * 350/√196
MOE = 1,64 * (350)/14
MOE = 1,64 * 25
MOE = 41
c) The confidence interval is:
Z = 2000
α = 1- 0,95
α = 0,05 ⇒ α/2 = 0,025
CI = Z - z(α/2) * σ/√n ; Z + z(α/2) * σ/√n
z(α/2) from z-table is: z(0,025) = 1,96
CI = 2000 - 1,96* 350/√196 ; 2000 + 1,96* 350/√196
CI = 2000 - 1,96*25 ; 2000 + 1,96*25
CI = 2000 - 49 ; 2000 + 49
CI = 1951 ; 2049
13 lb 14oz + 30 lb 12 oz = lb. oz
Answers
Answer:
33 lbs 10 ounces
Step-by-step explanation:
13 lb 14oz
+ 30 lb 12 oz
================
32 lbs 26 oz
But we know that 16 ounces 1 1 lb
Subtract 16 ounces and add 1 lb
32 lbs 26 oz
+1 lb - 16 ounces
==================
33 lbs 10 ounces