Answer:
3
Step-by-step explanation:
7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted in units of 50 ms. (Page 265 in the book may provide some help with this question.) (12 pts) a) What is the chance of success on the first attempt
Answer:
P(success at first attempt) = 0.1353
Step-by-step explanation:
This question follows poisson distribution. Thus, the formula is;
P(k) = (e^(-G) × (G)k)/k!
where;
G is number of frames generated in one frame transmission time(or frame slot time)
Let's find G.
To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.
Now, in 1000 ms, the number of frames generated = 50
Thus; number of frames generated in 50 ms is;
G = (50/1000) × 50
G = 2.5
To find the chance of success on the first attempt will be given by;
P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353
Hello, Sorry To bother you nice ppl but more questions awaits u :)
Answer:
B. -2x + 10 is the correct answer
Answer:
(C) -2x + 10
Step-by-step explanation:
This is going to be multiplication from the first number outside the "Bubble"
-2 multiplied by x = -2x ,
why ? because a negative times a positive makes a negative
Next is -2 multiplied by -5 = 10
why ? because a negative times a negative = equals a positive !
now .. you add up all of the sums together to make an equation ..
Answer would be -2x+10
Please help with this
Answer:
65
Step-by-step explanation:
On Tuesday, 14 students handed in a permission slip for a field trip. On Thursday, twice as many students handed in their permission slip than on Tuesday. On Friday, an additional 7 students turned in their permission slip. What expression could be used to find the total number of permission slips handed in?
14 x 2 + 7
14 + (2 x 14) + 7
14 + (2 x 7)
14 ÷ (2 x 7) + 14
Solve
Solve
a cylinder of radius r cm and height h cm has a curved surface area A cm\( {}^{2} \), where\(A = 2\pi rh.\)
a) obtain a formula for h
b) find the value of h when A = 93 ,R = 2.5 and \(\pi\)= 3.1
A cylinder of radius r cm and height h cm has a curved surface area A cm². Where –
A = 2πrh cm²a) We are asked to find formula for h.
\(\qquad\)\(\purple{ \bf \longrightarrow A=2 \pi rh }\)
First, overturn the equation
\(\qquad\)\( \sf \longrightarrow 2 \pi rh =A\)
Divide both sides by 2πr
\(\qquad\)\( \sf \longrightarrow \dfrac{2\pi rh}{2\pi r } = \dfrac{A}{2\pi r}\)
\(\qquad\)\( \sf \longrightarrow \dfrac{\cancel{2 \pi r }h}{\cancel{2\pi r} } = \dfrac{A}{2\pi r}\)
\(\qquad\)\( \purple{\bf \longrightarrow h = \dfrac{A}{2 \pi r }}\)
b) Again, we are given –
Curved surface area, A = 93 cm²Radius, r = 2.5 cmπ = 3.1\(\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}\)
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━
\(\qquad\)\( \bf \longrightarrow h = \dfrac{A}{2\pi r }\)
\(\qquad\)\( \sf \longrightarrow h = \dfrac{93}{2 \times 3.1 \times 2.5 }\)
\(\qquad\)\( \sf \longrightarrow h = \dfrac{93}{15.5}\)
\(\qquad\)\( \sf \longrightarrow h =\cancel{ \dfrac{93}{15.5}}\)
\(\qquad\)\(\pink{ \bf \longrightarrow h = 6\: cm }\)
Henceforth, height of the cylinder is 6 cm.I need help with this
Answer:
3.Ans
4 is the thousands place value in the number 524,897,123.
The value of the digit 4 would be 4,000,000.
Calculation: 4 x 1,000,000 = 4,000,000
4.Ans
The product of (6*5)*10^3 is 3000. This product has 3 zeroes.
What is the value of x? Round only your final answer to the nearest hundredth.
The length of the hypotenuse is 12.52 yards.
Given that a right triangle, we need to find the value of the hypotenuse x,
Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.
We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.
Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.
We know that, the cosine of the angle is the ratio of the base to the hypotenuse,
So,
Cos 37° = 10 / x
x = 10 / Cos 37°
x = 12.52
Hence the length of the hypotenuse is 12.52 yards.
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Z OO
Which of the following statements are true? Check all that apply
The distance covered on a two hour bloyole ride depende on the bike'e rate of
speed Al 10 mph, the rider will cover 20 miles. Al 18 mph, she will cover 30
miles
A. Distance(16) = 30
B. Distance(30) = 16
C. Distance(20) = 10
D. Distance(10) = 20
Answer:
Step-by-step explanation:
A. Distance(16)= 30
Solve for angles x and y in the triangle below. Round your angle to the nearest whole degree.
Solve for both x and y
\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)
Make sure your calculator is in Degree mode.
What is the equivalent fraction for 64% written in simplest form?
Answer:
16/25
Step-by-step explanation:
16/25 = 0.64 = 64%
Answer:
16/25
Step-by-step explanation:
64/100 in simplest firm is 16/25
Solve these please!!!
The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;
1. The area is about 15.16 units²
2. The coordinates of the points are;
(i) B(5, 8)
(ii) C(8.58, 4)
(ii) D(8,58, 1.21)
What is a quadrilateral?A quadrilateral is a four sided polygon.
1. The coordinate of the point C can be found as follows;
Let (x, y) represent the coordinates of the C, we get;
(x + 8)/2 = 5
x = 2 × 5 - 8 = 2
(y + 8)/2 = 6
y = 2 × 6 - 8 = 4
The coordinates ot the point C (2, 4)
The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)
Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)
The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13
CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;
(4 - y)/(2 - x) = -(5 - x)/(6 - y)
y - 4 = (-4/7)(x - 2)
y - 6 = (7/4)(x - 5)
(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6
x = (17/5) = 3.4
y = (7/4)((17/5) - 5) + 6 = 3.2
The coordinates of the point E is (3.4, 3.2)
The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)
Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)
Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)
Area of the figure is therefore;
13 + (1/2) × √(10.4) × √(1.8) ≈ 15.16 square units2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))
y - 6 = (1/3)·(x + 1)
y = (1/3)·(x + 1) + 6
The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2
Slope of the segment BE = -1/(-1/2) = 2
Equation of BE is; y - 4 = 2·(x - 3)
y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6
Therefore, x = 5
y = (1/3)·(5 + 1) + 6 = 8
The coordinates of the point B is (5, 8)(ii) Area of the triangle EBC = 24 unit²
EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20
Therefore;
BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)
(x - 5)² + (y - 8)² = 28.8
y = 4, therefore;
(x - 5)² + (4 - 8)² = 28.8
(x - 5)² = 28.8 - (4 - 8)² = 12.8
x = √(12.8) + 5
The coordinates of the point C is C(√(12.8) + 5, 4) ≈ (8.58, 4)(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)
x = √(12.8) + 5
Therefore;
y - 4 = (-1/2)((√(12.8) + 5) - 3)
y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21
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Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x.
x 4 -3x + 1, 4x 2 - 2x + 8, and x 3 - 9
The addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.
Polynomialx⁴ - 3x + 14x² - 2x + 8x³ - 9Adding the polynomial
(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)
Open parenthesis= x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9
Collect like terms in descending powers= x⁴ + x³ + 4x² - 3x - 2x + 1 + 8 - 9
= x⁴ + x³ + 4x² - 5x
Therefore, the addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.
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the line that passes through (−2,3) and (0,8)
Answer:
y=5/2x+8
Step-by-step explanation:
slope: (y2-y1)/(x2-x1); (8-3)/(0-(-2))= 5/2
y-intercept is 8
The total square footage of wall space to be painted is 575 square ft. If a gallon of paint covers 250 square feet, how many quarts of paint will be required for the project? Set up a plan or formula for solving the problem.
For the competition of project , 5.75 quarts of paint is required .
Usually one quart of paint cover 100 square feet
Since, a gallon covers 250 square feet, it means that
one gallon of paint is equal to \(\frac{250}{100} =2.5\) quarts of paint.
Number of gallon required to paint 575 square feet,
\(=\frac{575}{250} \\=2.3 gallons\)
So, 2.3 gallons is equal to,
\(=2.3*2.5\\=5.75 quarts\)
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The table shows the amount of money that Sarah charges customers to sell newspapers. The table represents a linear functions.
Question 10 options:
Sarah charges $5 before she begins selling newspapers
Sarah does not charge her costumers unless she has sold newspapers for at least 2 hours
Sarah charges $5 an hour to sell newspapers
Sarah earns 7$ for 1 hours of work
Figured it out, It's the 1st answer, Sarah charges $5 before she begins
The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.
The table representing amount of money which Sarah charges her customers to sell newspapers.
Let us consider 'x' represents the time per hour charges taken by Sarah from customers.
In the table,
For zero hours charges are $5.
It means Fixed charges taken by Sarah to sell newspaper.
Difference between the rate per hour is,
$7 - $5 = $2
$9 - $7 = $2
It represents for Sarah charges $2 per hour.
let us consider 'y' that represents total amount charges by Sarah.
Required linear function for selling news paper and charging amount is
y = $5 + 2x
⇒ y = 2x + 5
Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.
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Find the missing angle measure(s).
Yº
Z
X
43°
W
Answer:
90°grados es la respuesta
Help me help me plz
Answer:
??????????????????????
Solve: 2x - 10/4 3x
A-1 B2 C11 D-10
Answer:
x=-1
Step-by-step explanation:
Chandler buys a mattress priced at $975.90.If the sales tax is are 10%, how much tax will Chandler pay?
Answer:
97.59
Step-by-step explanation:
975.90*0.10
97.59
Hope this Helps!!!
A line passes through the point -9,3 and has a slope of -4/3 write an equation in point slope form for this line
If Margo walks 1/4 mile in 1/12 of an hour, what is her unit rate
To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.
Distance = 1/4 mile
Time = 1/12 hour
Unit rate = Distance ÷ Time
Unit rate = (1/4 mile) ÷ (1/12 hour)
We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.
Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)
Unit rate = (3/4 mile) ÷ 1 hour
Unit rate = 3/4 mile per hour
Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.
Answer:
3mph
Step-by-step explanation:
1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.
60/12 = 5
12 x 1/4 = 12/4 = 3
Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12% rate compounded quarterly, and Four Rivers offers 14% compounded semiannually. Jane has $40,000 to invest and expects to withdraw the money at the end of five years. The better deal is:
Multiple Choice
Four Rivers because she will earn about $6,442 more.
Four Rivers because she will earn about $6,523 more.
Four Rivers because she will earn about $4,000 more.
Four Rivers because she will earn about $20,000 more.
Answer:
The answer is option (C). Four Rivers Bank
Explanation:
a). The total amount Jane will receive after 5 years after investing $40,000 in the Mystic Bank can be expressed as follows;
A = P (1 + r/n) (nt)
where;
A = the future value of the initial investment
P = initial investment amount/principal amount
r = the annual interest rate
n = the number of times that interest is compounded per unit t
t = the time the money is invested for
In our case;
P=$40,000
r=12/100=0.12
n=interest is compounded quarterly which is four times a year=4
t=5 years
Replacing values in the formula;
A=40,000(1+0.12/4)^(4×5)
A=40,000(1+0.03)^20
A=40,000×1.806
A=72,244.45
The total amount Jane will receive after 5 years if she chooses to invest with the Mystic Bank is $72,244.45
b). The total amount Jane will receive after 5 years after investing $40,000 in the Four Rivers Bank can be expressed as follows;
A = P (1 + r/n) (nt)
where;
P=$40,000
r=14/100=0.14
n=interest is compounded semiannually which is two times a year=2
t=5 years
Replacing values in the formula;
A=40,000(1+0.14/2)^(2×5)
A=40,000(1+0.07)^10
A=40,000×1.967
A=78,686.05
The total amount Jane will receive after 5 years if she chooses to invest with the Four Rivers Bank is $78,686.05
c). The best deal would be to invest with Four Rivers Bank for 5 years since the total amount Jane will receive after 5 years will be $78,686.05 which is greater than $72,244.45, which is the total amount she will receive if she chooses to invest with Mystic Bank
If 9% of a number is 75, find 3% of that number.
Delta math again.
Answer:
25
Step-by-step explanation:
\(0.09a=75\\a=\frac{75}{0.09} \\0.03*a=0.03*\frac{75}{0.09} =25\)
find the sum
-84 + (-11)
Answer:
-84+(-11)= -95
-84 + (-11) = -84 - 11 = -95
By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.
I really need to know how to solve this type of problems
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
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he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
como dividir ? ? . . .. . . .. . . .. . .. . . .. .
Answer:
What
Step-by-step explanation:
What Do You Mean Bro
a medical researcher wants to determine whether exercising can lower blood pressure. she recruits 100 people with high blood pressure to participate in the study. she assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. she assigns the other 50 to refrain from vigorous activity. she measures the blood pressure of each of the 100 individuals both before ad after the study. press space or enter to grab observational study a medical researcher wants to determine whether exercising can lower blood pressure. at a health fair he measures the blood pressure of 100 individuals and interviews them about their exercise habits. he divides the individuals into two categories: those whose typical level of exercise is low and those whose level of exercise is high. press space or enter to grab randomized experiment to determine the effectiveness of a new pain reliever a randomly chosen group of pain sufferers is assigned to take the new drug and another randomly chosen group is assigned to take a placebo. press space or enter to grab randomized experiment to assess the effectiveness of a new method for teaching arithmetic to elementary school children a simple random sample of 30 first graders was taught with the new method and another simple random sample of 30 first graders was taught with the currently use method. at the end of eight weeks the children were given a test to assess their knowledge. the press space or enter to grab observational study researchers examine the association between the fluoridation of water and the prevention of tooth decay by comparing the prevalence of tooth decay in countries that have fluoridated water with the prevalence in countries that do not.
The study described is a randomized experiment.
A randomized experiment is a typical experimental study design. It is a study design in which the researcher or investigator is in complete control of the research environment. For example, an investigator may wish to assess the effects of certain treatments on some experimental units.
The investigator decides the type of treatment, the type of experimental unit to use, and the allocation and assessment procedures of the treatments and effects, respectively, while in an observational study, the researcher or investigator is usually a passive observer as he only observes and analyses facts and events as they occur naturally.
In experimental studies, the researcher is in complete control of the exposure, and the result should therefore provide stronger evidence of an association or lack of association between exposure and a health problem than would an observational study.
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"Determine whether the study described below is a randomized experiment or an observational study.
A medical researcher wants to determine whether exercise can lower blood pressure. She recruits 100 people with high blood pressure to participate in the study. She assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. She assigns the other 50 to refrain from vigorous activity. She measures the blood pressure of each of the 100 individuals both before and after the study."--
For what value of x does 2^18=(1/4)^x?
13h-20=-1-20h+14 is it no solution, one solution, or infinite many solutions
The given equation is a linear equation and it has only one solution.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
What are three types of linear equation?Slope-intercept, point slope and standard form are the three types of linear equation.
13h-20=1-20h+14
13h-20=13-20h
13h+20h-20-13=0
33h-33=0
33(h-1)=0
h-1=0
h=1
So given linear equation has only one solution.
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