Answer: t = 1.8g
Step-by-step explanation:
Since we are given the information that the tip varies directly with the number of guests, then the formula to use will be:
t = kg
where,
t = wait staff tip
g = number of guests
Therefore, when the number of guests is 10 and the tip is $18, the constant of proportionality will be:
t = kg
18 = 10k
k = 18/10
k = 1.8
Therefore, t = 1.8g
Answer:
A.
Step-by-step explanation:
Determine the measure of the interior angle at vertex E.
A. 50
B. 90
C. 30
D. 150
PLS REPLY FAST THIS IS URGENT
The measure of the interior angle at vertex E can be determined by using the properties of triangles. In a triangle, the sum of all interior angles is always 180 degrees.
Therefore, to find the measure of the interior angle at vertex E, we need to subtract the measures of the other two angles at vertices A and B from 180 degrees. Let's assume that the measures of the angles at vertices A and B are a and b degrees, respectively. Then, the measure of the interior angle at vertex E can be calculated as follows: Interior angle at vertex E = 180 degrees - (measure of angle at vertex A + measure of angle at vertex B) Now, let's refer back to the given answer choices: A. 50 B. 90 C. 30 D. 150 Without additional information or a diagram, it is not possible to determine the exact measures of the angles at vertices A and B. Therefore, we cannot directly calculate the measure of the interior angle at vertex E. In order to solve this problem, we need more information about the triangle or a diagram that shows the relative positions of the vertices.
To know more about angle here
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6. One thousand liters of a solution was available, but the solution was 65% alcohol. Barry needed a solution which was 50% alcohol. How many liters of alcohol had to be extracted so that the solution would be 50% alcohol?
SHOW YOUR WORK
Answer:
300 liters
Step-by-step explanation:
1000(0.65) = 650 liters of the solution was alcohol
1000.(1 - 0.65) = 350 liters was the other solute.
A 50% solution would have equal parts of each or 350 liters each.
650 - 350 = 300 liters of alcohol must be removed.
If each face on a standard die shows a number,1,2,3,4, 5 or 6.If the die is tossed 30 times, how many times would you expect to get 3.
Answer:
We should get a 3 about 5 times
Step-by-step explanation:
Possible outcomes 1,2,3,4,5,6
P(3) = number of 3's / total = 1/6
Expect a 3 = number of rolls * probability of a three
= 30 * 1/6
=5
Find the measure of each angle in the problem. TO contains point H.
Answer:
A. 45 and 135
Step-by-step explanation:
Recall: two angles on a straight line forms a linear pair. The pair sum up to 180°.
Thus:
✔️c° + 3c° = 180°
4c = 180
Divide both sides by 4
4c/4 = 180/4
c = 45°
✔️3c = 3(45) (substitution)
= 135°
Compute the probability of the event E1 that Bob wins in a duel against Eve alone, assuming he shoots first. (Hint: Let x be the probability Bob wins in a duel against Eve alone, assuming he fires first. If Bob misses his first shot and then Eve misses her first shot, what is the probability Bob wins in terms of x
Answer: Hello your question is incomplete attached below is the missing
n ( 1 + n )
Step-by-step explanation:
P( Bob hits target ) = 1/3
P( Eve hits target ) = 2/3
P( Carol hits target ) = 1
Compute the P that Bob wins in a duel against Eve alone
P(Bob hits the target in first shot ) = n = 1/3
P(Bob hits the target in second shot ) = n^2 = ( 1/3 * 1/3 ) = 1/9
hence the probability of Bob winning( i.e. P( Bob wins Event E1 ) = n + n^2 = n ( 1 + n )
b) 104 : {559 + (7 · 3)3 : [(4 · 52)2 : 500 + 1]}.
Answer:
-59,844,616
563,576
Step-by-step explanation:
it is very simple bro
Richard is asked to spray wash the exterior of a building that is shaped like a cube. The building has a side length of 7 meters. How much surface area will Richard have to clean?
7 meters squared.
245 meters squared.
49 meters squared.
294 meters squared.
Answer:
294 meters squared
Step-by-step explanation:
Surface area of cube is calculated using the formula :
Surface area of cube = 6a²; where a = side length of the cube
The side length of the cube, a = 7 meters
Hence,
Surface area = 6 * 7² = 6 * 49
Surfave area of cube = 294 meters
Answer:
245 meters squared (correct on my test)
Step-by-step explanation:
Remember, in this case, we complete the formula and then subtract the area of the base. Therefore, we take 6 x (7 meters)^2 and subtract (7 meters)^2. This can also be represented as 5 x (7 meters)^2.
If 2x - 5y – 7 = 0 is perpendicular to the line ax - y - 3 = 0 what is the value of a ?
A) a =2/3
B) a =5/2
C) a = -2/3
D) a = -5/2
Answer:
D) a = - 5/2
Step-by-step explanation:
2x -5y - 7 = 0
5y = 2x - 7
y = 2/5 x - 7
the slope of this line is therefore 2/5 (factor of x).
the perpendicular slope is then (exchange y and x and flip the sign) -5/2, which is then a and the factor of x.
Vectors u and v are perpendicular. ||u|| = 5√2 units, and ||v|| = 6√2 units. ||u + v|| ≈ ? units
A. 11.04
B. 11.05
C. 15.55
D. 15.56
Answer:
15.56
Step-by-step explanation:
Given the vectors ||u|| = 5√2 units, and ||v|| = 6√2 units.
||u + v|| ≈ 5√2 + 6√2
||u + v|| ≈ (5+6)√2
Since √2≈ 1.4142
||u + v|| ≈ 11(1.4142)
||u + v|| ≈ 15.56
Hence the correct option is D
Answer: 11.05
Step-by-step explanation: got it right
10 times a certain number plus 5 times the same number equals 90 what is the number
Let the number be x
ATQ
[tex]\\ \sf\longmapsto 10x+5x=90[/tex]
[tex]\\ \sf\longmapsto (10+5)x=90[/tex]
[tex]\\ \sf\longmapsto 15x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{15}[/tex]
[tex]\\ \sf\longmapsto x=6[/tex]
find the solution of the general equation of the differential equation:
(1-cosx)y' - ysinx =0, x ≠ k2π
Notice that the condition x ≠ 2πk for (presumably) integer k means cos(x) ≠ ±1, and in particular cos(x) ≠ 1 so that we could divide both sides by (1 - cos(x)) safely. Doing so lets us separate the variables:
(1 - cos(x)) y' - y sin(x) = 0
==> (1 - cos(x)) y' = y sin(x)
==> y'/y = sin(x)/(1 - cos(x))
==> dy/y = sin(x)/(1 - cos(x)) dx
Integrate both sides and solve for y. On the right, substitute u = 1 - cos(x) and du = sin(x) dx.
∫ dy/y = ∫ sin(x)/(1 - cos(x)) dx
∫ dy/y = ∫ du/u
ln|y| = ln|u| + C
exp(ln|y|) = exp(ln|u| + C )
exp(ln|y|) = exp(ln|u|) exp(C )
y = Cu
y = C (1 - cos(x))
An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 150 cars, they found a mean MPG of 46.5. Assume the population standard deviation is known to be 1.1. A level of significance of 0.05 will be used. State the null and alternative hypotheses.
Answer: See explanation
Step-by-step explanation:
The null hypothesis H0: The null hypothesis states that there is no relationship between the two things that are being considered.
The alternative hypothesis is contradictory to H0 and it explains that there is a relationship between the two selected variables.
Based on the question, the null hypothesis H0 is that the rating of car is equal to 46.7 miles per gallon. μ = 46.7 MPG
The alternative hypothesis Ha is that the rating of the car is not equal to 46.7 Miles per gallon. μ ≠ 46.7 MPG
if f(x)=3x²-7 and f(x+n)=3x²+24x+41, what is the value of n?
Answer:
n=4
Step-by-step explanation:
f(x+n)=3(x+n)^2-7=3x^2+24x+41
3x^2+3n^2+6xn-7=3x^2+24x+41
Comparing and we will get, n=4
Find the domain and range of the function, f(x)=sin|x|
Answer:
[tex]Domain = (-\infty,\infty)[/tex]
[tex]Range = (0,1)\\[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sin|x|[/tex]
Solving (a): The domain
There is no restriction on the given function because it is not a root function and doesn't have a x denominated fraction
Hence, the domain is:
[tex](-\infty,\infty)[/tex]
Solving (b): The range
The minimum of a sine function is 0
The maximum of a sine function is 1
So, the range is:
[tex](0,1)[/tex]
An urn contains 5 blue marbles and 4 yellow marbles. One marble is removed, its color noted, and not replaced. A second marble is removed and its color is noted.
(a) What is the probability that both marbles are blue? yellow?
(b) What is the probability that exactly one marble is blue?
Answer:
(a)The probability that both marbles are blue=5/18
The probability that both marbles are yellow=1/6
(b)The probability that exactly one marble is blue=5/9
Step-by-step explanation:
Blue marbles=5
Yellow marbles=4
Total marbles=5+4=9
(a)
Probability of drawing first blue marble=5/9
Probability of drawing second blue marble without replacement=4/8
The probability that both marbles are blue
[tex]=\frac{5}{9}\times \frac{4}{8}=\frac{5}{18}[/tex]
Probability of drawing first yellow marble=4/9
Probability of drawing second yellow marble without replacement=3/8
The probability that both marbles are yellow
[tex]=\frac{4}{9}\times \frac{3}{8}=\frac{1}{6}[/tex]
(b)
The probability that exactly one marble is blue
=Probability of first blue marble (Probability of second yellow marble)+Probability of first yellow marble (Probability of second blue marble)
The probability that exactly one marble is blue
=[tex]\frac{5}{9}\times \frac{4}{8}+\frac{4}{9}\times \frac{5}{8}[/tex]
=[tex]\frac{5}{18}+\frac{5}{18}[/tex]
=[tex]\frac{10}{18}=\frac{5}{9}[/tex]
After simplification, how many terms will be there in 4x3 + 9y2 - 3x + 2 - 1?
3
6
5
4.
Answer:
Correct answer is 4 because the last 2 terms can be combined:
Step-by-step explanation:
4x3 + 9y2 – 3x + 2 – 1 = 4x3 – 3x + 9y2 + 1.
Please help do in an hour
Answer:
-4
Step-by-step explanation:
a1 = -8
an = an-1 +2
a2 = a1+2 = -8+2 = -6
a3 = a2+2 = -6+2 = -4
Using the following system of equations to help, what is the value of x-2y?
3x + 2y =48
2x +3y =12
Please help.
A newsletter publisher believes that less than 61% of their readers own a laptop. Is there sufficient evidence at the 0.02 level to substantiate the publisher's claim? State the null and alternative hypotheses for the above scenario.
Answer: See explanation
Step-by-step explanation:
From the information given in the question, we are informed that a newsletter publisher believes that less than 61% of their readers own a laptop.
The null hypothesis will be: H0: p ≥ 0.61
The alternative hypothesis will be: Ha: p < 0.61.
find the range of values of a for which 11- 2a>1 is ____
Answer:
a<5
Step-by-step explanation:
11-2a>1
-2a>1-11
-2a>-10
a<5
give the size of the letter figure below
Answer: 150 degrees
Step-by-step explanation: 10+ 20 = 30
180-30 = 150 degrees.
A computer system uses passwords that are exactly six characters and each character is one of the 26 letters (a–z) or 10 integers (0–9). Suppose that 10,000 users of the system have unique passwords. A hacker randomly selects (with replace- ment) one billion passwords from the potential set, and a match to a user’s password is called a hit. (a) What is the distribution of the number of hits? (b) What is the probability of no hits? (c) What are the mean and variance of the number of hits?
Answer:
The number of hits would follow a binomial distribution with [tex]n =10,\!000[/tex] and [tex]p \approx 4.59 \times 10^{-6}[/tex].
The probability of finding [tex]0[/tex] hits is approximately [tex]0.955[/tex] (or equivalently, approximately [tex]95.5\%[/tex].)
The mean of the number of hits is approximately [tex]0.0459[/tex]. The variance of the number of hits is approximately [tex]0.0459\![/tex] (not the same number as the mean.)
Step-by-step explanation:
There are [tex](26 + 10)^{6} \approx 2.18 \times 10^{9}[/tex] possible passwords in this set. (Approximately two billion possible passwords.)
Each one of the [tex]10^{9}[/tex] randomly-selected passwords would have an approximately [tex]\displaystyle \frac{10,\!000}{2.18 \times 10^{9}}[/tex] chance of matching one of the users' password.
Denote that probability as [tex]p[/tex]:
[tex]p := \displaystyle \frac{10,\!000}{2.18 \times 10^{9}} \approx 4.59 \times 10^{-6}[/tex].
For any one of the [tex]10^{9}[/tex] randomly-selected passwords, let [tex]1[/tex] denote a hit and [tex]0[/tex] denote no hits. Using that notation, whether a selected password hits would follow a bernoulli distribution with [tex]p \approx 4.59 \times 10^{-6}[/tex] as the likelihood of success.
Sum these [tex]0[/tex]'s and [tex]1[/tex]'s over the set of the [tex]10^{9}[/tex] randomly-selected passwords, and the result would represent the total number of hits.
Assume that these [tex]10^{9}[/tex] randomly-selected passwords are sampled independently with repetition. Whether each selected password hits would be independent from one another.
Hence, the total number of hits would follow a binomial distribution with [tex]n = 10^{9}[/tex] trials (a billion trials) and [tex]p \approx 4.59 \times 10^{-6}[/tex] as the chance of success on any given trial.
The probability of getting no hit would be:
[tex](1 - p)^{n} \approx 7 \times 10^{-1996} \approx 0[/tex].
(Since [tex](1 - p)[/tex] is between [tex]0[/tex] and [tex]1[/tex], the value of [tex](1 - p)^{n}[/tex] would approach [tex]0\![/tex] as the value of [tex]n[/tex] approaches infinity.)
The mean of this binomial distribution would be:[tex]n\cdot p \approx (10^{9}) \times (4.59 \times 10^{-6}) \approx 0.0459[/tex].
The variance of this binomial distribution would be:
[tex]\begin{aligned}& n \cdot p \cdot (1 - p)\\ & \approx(10^{9}) \times (4.59 \times 10^{-6}) \times (1- 4.59 \times 10^{-6})\\ &\approx 4.59 \times 10^{-6}\end{aligned}[/tex].
If £15=$20 and $5=390 find the number of pounds that can be exchanged
200
Mark as braianlist
15 multiple by 5 equal 75 -390 equal 315 -15equal 200
help me please. who ever answers gets brainliest
Answer:
32
Step-by-step explanation:
(4x6)/2+(2x2)/2+2x2+(2x6)/2
Geometry Summer school workkkk worth 50 pointssss
Jeanne has a coupon for 1.95 off a jug of name brand laundry detergent that normally costs 14.99 . The store brand laundry detergent costs 11.53 How much will Jeanne save if she buys the store brand detergent instead of using her coupon and buying the name brand
Step-by-step explanation:
14.99 - 11.53= 3.46+1.95 =4.41
X
1
2
3
4
P
0,2
0,3
?
0,1
Answer:
(0,4) will be point (P) at 3 because,
Step-by-step explanation:
by using newton interpolation method we can find P(0,4) at 3 .
Companies are starting to use 360-degree surveys to evaluate the performance of their employees. This approach uses annonymous feedback from a variety of people who work closely with the employee. People who fill out the survey could be coworkers, supervisors, subordinates, or even customers. It is different from a traditional performance review, which relies only on feedback from an employee's supervisor. Many prefer the 360-degree approach because it provides a more well-rounded perspective on how the employee performs in their job role. Supervisers can be biased because they do not interact with the employee in the same way that a customer or co-worker might. However, the 360-degree survey approach still relies only on subjective feedback, which does not always give a fair representation of the employee's work?
Answer:
the study of and knowledge about the physical world and natural lawsthe study of and knowledge about the physical world and natural lawsthe study of and knowledge about the physical world and natural lawsthe study of and knowledge about the physical world and natural laws
Suppose that a random sample of size 64 is to be selected from a population with mean 50 and standard deviation 5. (a) What are the mean and standard deviation of the sampling distribution of x
Answer:
Mean of sampling distribution = 50
Standard deviation of sampling distribution, = 0.625
Step-by-step explanation:
Given :
Mean, μ = 50
Standard deviation, σ = 5
Sample size, n = 64
The mean of sampling distribution, μxbar = population mean, μ
μxbar = μ
According to the central limit theorem, the sampling distribution converges to the population mean as the sample size increases, hence, , μxbar = μ = 50
Standard deviation of sampling distribution, σxbar = σ/√n
σxbar = 5/√64 = 5 / 8 = 0.625
At what rates did she invest?
$1500 invested at___%
$800 invested at ____%
Answer:
4% and 5% respectively
Step-by-step explanation:
Let the intrest rate be x in the first account at x% and (x+1)% in the second account.
ATQ, 100=(x)*1500/100+(x+1)*800/100
x=4.
