Answer:
t = [tex]\frac{75}{n}[/tex]
Step-by-step explanation:
Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]
Replace y with t, and replace x with n, since those are the variables in this situation:
t = [tex]\frac{k}{n}[/tex]
Plug in 3 as t and 25 as n, and solve for k:
3 = [tex]\frac{k}{25}[/tex]
75 = k
Create the equation by plugging in 75 as k:
t = [tex]\frac{75}{n}[/tex]
So, the equation is t = [tex]\frac{75}{n}[/tex]
At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?
20%
40%
50%
Hi there!
»»————- ★ ————-««
I believe your answer is:
20%
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The banner reads that there is an 80% chance of winning a prize.⸻⸻⸻⸻
[tex]100\% - 80\% = \boxed{20\%}[/tex]
⸻⸻⸻⸻
There is a 20% chance that the player would not win.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
find the surface area of the prism.
Answer:
6*8=48km....10*6=60...6*8=48....6*6=36 total =192km
Answer:
s=(2BaseArea) +(Base perimeter/hight
What is the distance between the following points?
WILL GIVE BRAINLIEST!!
Answer:
A. 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph.
Point (8, 5)
Point (4, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(8 - 4)^2 + (5 - 2)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{4^2 + 3^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 9}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{25}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 5[/tex]A number increased by 100% and decreased by 20% is x. what is the number ? NEEDED TODAY
Answer:
Let's assume the number be 100.
According to the problem , 100 is increased by 100%.
So, new number will be 100+100=200
Now 200 will decreased by 20%.
So, 20% of 200= 0.20*200= 40.
So, again the number has been changed into 200+40=240.
So, x=240
Step-by-step explanation:
9514 1404 393
Answer:
x/1.6
Step-by-step explanation:
Let n represent the number. When n is increased by 100%, its new value is ...
n(1 +100%) = n(1 +1) = 2n
When this value is decreased by 20%, its new value is ...
(2n)(1 -20%) = (2n)(0.8) = 1.6n
This value is x, so the number is ...
1.6n = x
n = x/1.6 . . . . . . . divide both sides by 1.6
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is underfilling the bags. A 21 bag sample had a mean of 401 grams with a standard deviation of 26. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
The decision rule is to Reject H0 if Z ≤ -1.282
Step-by-step explanation:
We are given;
Population mean; μ = 409 g
Sample mean; x¯ = 401 g
Sample size; n = 21
Standard deviation; s = 26
Let's define the hypotheses;
Null hypothesis; H0: μ = 409 g
Alternative hypothesis; Ha : μ ≠ 409 g
Formula for test statistic is;
z = (x¯ - μ)/(s/√n)
z = (401 - 409)/(26/√21)
z = -1.410
z-value is negative and thus this is a lower tail test.
At significance level of 0.1, the critical value is -1.282.
Thus, the decision rule is;
Reject H0 if Z ≤ -1.282
You will need _____ml of the 95% solution
70 mL=25% alcohol
?mL=90% alcohol
90×70÷25
=252 mL
I think do like this....I'm not sure
Hope this help you
9514 1404 393
Answer:
420 mL
Step-by-step explanation:
Let x represent the amount of the 95% solution needed in the mixture. The the total amount of alcohol in the mixture is ...
0.25×70 + 0.95(x) = 0.85(70 +x)
0.10x = 42 . . . . . . . . subtract 17.5+0.85x
x = 420 . . . . . . . . divide by 0.10
You will need 420 mL of the 95% solution.
__
Additional comment
There will be 70+420 = 490 mL of solution, of which 85%, or 0.85×490 = 416.5 ml is alcohol. That alcohol is the total of 0.25×70 = 17.5 mL of alcohol from the 25% solution and 0.95×420 = 399 mL of alcohol from the added 95% solution. (17.5 +399 = 416.5)
A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. (a) The winch pulls in rope at a rate of 4 feet per second. Determine the speed of the boat when there is 15 feet of rope out.
Answer:
the speed of the boat is 6.67 ft/s
Step-by-step explanation:
Given;
height of the winch, h = 12 ft
the rate at which the winch pulls, the rope, = 4 ft/s
This form a right triangle problem;
let the height of the right triangle = h
let the base of the triangle = b (this corresponds to the horizontal displacement of the boat)
let the hypotenuse side = c
c² = b² + h²
[tex]2c\frac{dc}{dt} = 2b\frac{db}{dt} + 2h \frac{dh}{dt}\\\\The \ height \ of \ the \ winch \ is \ not \ changing \\\\2c\frac{dc}{dt} = 2b\frac{db}{dt} + 2h (0)\\\\2c\frac{dc}{dt} = 2b\frac{db}{dt} \\\\c\frac{dc}{dt} = b\frac{db}{dt} ----(*) \\\\when;\\\\the\ hypotenuse \ c = 15 \ ft\\\\the \ the \ the \ height, h = 12 \ ft\\\\the \ base, b \ becomes ;\\\\b^2 = c^2 -h^2\\\\b^2 = 15^2 - 12^2\\\\b^2 = 81\\\\b = \sqrt{81} \\\\b = 9 \ ft\\\\\\from \ the \ equation (*) \ above;\\\\[/tex]
[tex]c\frac{dc}{dt} = b \frac{db}{dt} \\\\dc/dt = 4 \ ft/s, \ \ c = 15 \ ft, \ \ b = 9 \ ft\\\\15 (4) = 9\frac{db}{dt} \\\\60 = 9 \frac{db}{dt} \\\\\frac{db}{dt} = \frac{60}{9} = 6.67 \ ft/s[/tex]
Therefore, the speed of the boat is 6.67 ft/s
The surface areas of two similar solids are 16m2 and 100 m2. The volume of the larger one is 750m3. What is the volume of the smaller one?
Answer:
48 m^3
Step-by-step explanation:
If the scale factor of linear dimensions between two solids is k, then the scale factor for areas is k^2, and the scale factor of volumes is k^3.
Let's call the solid with 16 m^2 of area solid A, and the other one solid B.
The scale factor of areas from, A to B is (100 m^2)/(16 m^2) = 25/4
In other words, multiply the area of the solid A by 25/4 to get the area of solid B.
Let's check: 16 m^2 * 25/4 = 16 * 25/4 m^2 = 4 * 25 m^2 = 100 m^2
We do get 100 m^2 for solid B, so the area scale factor of 25/4 is correct.
The area scale factor is k^2, so we have:
k^2 = 25/4
We solve for k:
k = 5/2
Now we cube both sides to get k^3, the scale factor of volumes.
k^3 = 5^3/2^3
k^3 = 125/8
Let V = volume of smaller solid, solid A.
V * 125/8 = 750 m^3
V = 750 * 8/125 m^3
V = 48 m^3
As a student, you are able to earn extra money by assisting your neighbors with odd jobs.
If you charged $10.25 an hour for your assistance, about how many hours would you
need to work to earn $8,425? Show your work. (
9514 1404 393
Answer:
about 822 hours
Step-by-step explanation:
If h is the number of hours for which you are paid $10.25 per hour, then the number you need is ...
8425 = 10.25h
Divide by the coefficient of h:
8425/10.25 = 10.25h/10.25
821.95121...(5-digit repeating decimal)
You need to work about 822 hours to earn $8425.
_____
Your pay for 822 hours will be $8425.50. If taxes are deducted, you need to work a while longer.
Assuming that a person going to community college can't afford to go to a four-year college is an example of a) a generalization. b) discrimination. O c) a stereotype. O d) tolerance.
Answer:
a) generalization
Step-by-step explanation:
The statement is an example of a generalization. This is because the statement is assumming that all individuals who go to community college are poor. Therefore, this is why they cannot go to a four-year college, and instead go to a community college which is far cheaper. This assumption is being applied to all individuals who attend community college, without any further or more-specific information about each individual, therefore generalizing the entire situation.
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.
Slope= 1/3, passing through the origin.
Answer:
y = 1/3x y - 0 = 1/3 (x - 0)
Step-by-step explanation:
slope intercept: y = 1/3x
point slope: y - 0 = 1/3 (x - 0)
A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 12t + 74, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?
The company earned 74 billion dollars from 2008 to 2018.
The company earned 12 billion dollars from 2008 to 2018.
The company earned 74 billion dollars in 2008.
The company earned 12 billion dollars in 2008.
Answer:
C) The company earned 74 billion dollars in 2008.
Answer:
C
Step-by-step explanation:
The person above me is correct give branliest
Show that the equation 2x + 3 cos x + e ^ x = 0 has a root on the interval [- 1, 0]
If x = -1, you have
2(-1) + 3 cos(-1) + e ⁻¹ ≈ -0.0112136 < 0
and if x = 0, you have
2(0) + 3 cos(0) + e ⁰ = 4 > 0
The function f(x) = 2x + 3 cos(x) + eˣ is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < c < 0 such that f(c) = 0.
Find the cosine of the angle between the planes x+y+z=0 and 4x+3y+z=1.
Answer: cosθ=
The angle between the planes is the same as the angle between their normal vectors, which are
n₁ = ⟨1, 1, 1⟩
n₂ = ⟨4, 3, 1⟩
The angle θ between the vectors is such that
⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(θ)
Solve for cos(θ) :
4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(θ)
8 = √3 √26 cos(θ)
cos(θ) = 8/√78
What's the equation of the graph shown above? ) y = 4x + 2 B) y = 4x – 2 C) y = 5x + 2 D) y = 2x + 4
Answer:
i need the graph
Step-by-step explanation:
.
Joe used a project management software package and has determined the following results for a given project.: Expected completion time of the project = 22 days Variance of project completion time = 2.77 What is the probability of completing the project over 20 days?
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that [tex]\mu = 22, \sigma = \sqrt{2.77}[/tex]
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 22}{\sqrt{2.77}}[/tex]
[tex]Z = -1.2[/tex]
[tex]Z = -1.2[/tex] has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
What is log10^6, considering log10^2=a and log10^3=b?
The answer is simply just a+b.
Solution:
log10^6=log10^2+log10^3
Since log10^2=a and log10^3=b,
The answer is a+b.
I think that the answer is a+b.
Complete the problems. (From Example 2)
1. How much compound interest will $50,000 have earned in 10 years at 6.4% annual interest compounded
quarterly?
Answer:
Compound interest is $7,037,339.2
Step-by-step explanation:
[tex]{ \boxed{ \bf{A=P(1+ \frac{r}{100} ) {}^{n} }}}[/tex]
substitute:
[tex]{ \sf{ = 50000(1 + \frac{6.4}{100}) {}^{10} }} \\ \\ = { \sf{50000(1.64) {}^{10} }} \\ \\ { = \sf{7037339.2}}[/tex]
t "To Do" list has four items: 1) Organize email folders 2) Create a schedule for next month 3) Help a coworker and 4) Answer a customer inquiry. Which item should you probably do first ? a) Answer a customer inquiry b) Organize email folders c) Help a coworker d) Create a schedule for next month
Answer:
I think A) Answer a customer inquiry
Step-by-step explanation:
Because customers come first
Determine if the outside temperature is a function of the time of day or if the time of day is a function of temperature and explain why or why not.
Answer:
Step-by-step explanation:
Temperature is a function of the time of day. There can be only one temperature at any particular time.
In contrast, a particular temperature can occur more than one time in a day, so time is not a function of temperature.
It need the answer to these please
hopefully this answer can help you to answer the next question
A randomized study compared two drugs that are designed fo lower a person's serotonin level. It was found that over a 1-year period, those receiving Drug A decreased their serotonin level by a mean of 36 nanograms per millimeter. Those receiving Drug B decreased their serotonin level by a mean of 20 nanograms per millimeter. To determine whether the results are significant, the data are randomized and the difference of the means is shown in the dot plot. What is the best conclusion to make based on the data?
A. The difference of the means is significant because the rerandomizations show that it is outside the range of what likely happens by chance.
B. The difference of the means is not significant because the rerandomizations show that it is outside the range of what likely happens by chance.
C. The difference of the means is not significant because the rerandomizations show that it is within the range of what likely happens by chance.
D. The difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance.
The best conclusion to make based on the data is: The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.
Difference of meansGiven:
Drug A= Decrease serotonin level by means of 36 nanograms per millimeter
Drug B= Decrease serotonin level by means of 20 nanograms per millimeter
Hence,
When we take a look at the difference of means data that was given, we would see that the different of means is significant between the means of Drug A and Drug B due to chance or random variation.
Based on the fact that the re-randomizations indicate that it is outside the range of what could happen by chance.
Therefore the correct option is A.
Learn more about difference of mean here:https://brainly.com/question/6281520
#SPJ1
Answer:
The difference of the means is NOT significant because the rerandomizations show that it is within the range of what likely happens by chance
Step-by-step explanation:
Took the test and this is 100% the answer. Hope it helps.
How do I Simplify
-72 divide by 3
Answer:
by doing the problem and you should get -24
Step-by-step explanation:
Reflect the given triangle over
the y-axis.
[3 6 3 ]
[-3 3 3]
Answer:
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}x_{1} &x_{2} &x_{3} \\y_{1} &y_{2} &y_{3} \end{array}\right][/tex] ---------> [tex]\left[\begin{array}{ccc}-x_{1} &-x_{2} &-x_{3} \\y_{1} &y_{2} &y_{3} \end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\end{array}\right][/tex]
a Merchant of New York bought some goods from Nepal worth Rs 55680 if 1 dollar = rs 72.50 and £1= Rs 128 if by sending money through London he saves 19.80 Dollars find the rate of exchange between new York and London?
Answer:
$1.85 = £1
Step-by-step explanation:
55680/72.50 = 786
55680/128 = 435
435x = (786 + 19.80)
x = 805.8/435
x = 1.85
Answer:
£1 = $1.72
Step-by-step explanation:
55680/72.50=768
55680/128=435
768.00 - 19.80 = 748.20
x = 748.20 / 435
x = $1.72
9.) Ezri earns $10 per day plus $25 for every lawn she mows. How many lawns does she need to mow today to earn $135? First, write the equation that fits this model. Let x be the amount of yards she mows. Hurry please
Answer:
5 lawns
Step-by-step explanation:
Firstly, the equation is 25x + 10 = 135
Ezri makes $25 for every lawn she mows (25x) and has an automatic $10 per day (10). In order to make $135 we take what she makes each day and set it equal to 135.
To solve, we subtract 10 from both sides to create 25x = 125. We then divide 25 from both sides to get x=5. This means that Ezri needs to mow 5 lawns in order to make $135.
I hope this is helpful to you!
**To anyone out there seeing this - let me know if you think I made a mistake and I will fix it.**
Which graph best represents the equation 5x + 2y = 7?
Answer:
D
Does the answer help you?
Answer:
D
Step-by-step explanation:
How many different 5-digit numbers can be written using only numbers 0, 1, 2, 3, and 4, if number should contain each of these numbers: only once?
Answer:
3125
Step-by-step explanation:
5* 5* 5* 5 = 3125
A-(buc)=(A-b)u(A-c)
Step-by-step explanation:
I don't get the question a bit but I hope this makes sense
:)
Espanol
In the past year Christine watched 24 movies that she thought were very good. She watched 60 movies over the whole year. of the movies she watched, what
percentage did she rate as very good?
Answer:
40%
Step-by-step explanation:
She thought that 24 movies out of 60 were very good. Put the smaller number over the larger number to create a fraction:
Then convert 24/60 to a proper fraction:
24/60 = 2/5
Then, convert that to percent:
2/5 = 40%
