Answers
Explanation:
No change, 0 in the 1-20 range
33: 1 in the 21-40 range
43, 44, 52: 3 in the 41-60 range
75, 79: 2 in the 61-80 range
86, 89: 2 in the 81-100 range.
Answer:
1-20: Make it 0 units tall (change nothing)
21-40: Make it 1 unit tall
41-60: Make it 3 units tall
61-80: Make it 2 units tall
81-100: Make it 2 units tall
Step-by-step explanation:
1-20: (0 numbers)
21-40: 33 (1 number)
41-60: 43, 44, 52 (3 numbers)
61-80: 75, 79 (2 numbers)
81-100: 86, 89 (2 numbers)
Related Questions
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 66 types of drinks to choose from, 55 types of sandwiches, and 44 types of chips. How many different value meal packages are possible?
Answers
Answer:
159,720
Step-by-step explanation:
Calculation of how many different value meal packages are possible at Ron's Subs :
The meal package at Ron's Subs are:
Drink 66
Sandwich 55
Bag of chips 44
Since we are looking for the how many different value meal packages are possible that means we have to multiply all the three value meal package with each other.
Hence,
Drink 66 ×Sandwich 55 ×Bag of chips 44
=159,720
Therefore 159,720 is the number of different value meal packages that are possible at Ron's Subs
if teta is an angle in right angle triangle if tan teta = 3/4 then find sin teta?
Answers
Answer:
[tex] \frac{3}{5}[/tex]
Step-by-step explanation:
The adjacent sides are 3 and 4. Thus the hypotenuse is: (by Pythagoras Theorem)
$=\sqrt{3^2+4^2}$
$=\sqrt{25}$
$=5$
Now by definition of $\sin$, we get:
$\sin \theta= \frac{\text{opposite}}{\text{hypotenuse}}=\frac{3}{5}$
A government agency has 6000 employees. As an alternative to the traditional five-day work week, employees were asked whether they preferred a four-day work week (10 hours per day) or flexible hours. The accompanying segmented bar chart is based on the data collected. Which of the following statements is true about work week preferences and age category? A. Preferences appear to be independent of age. B. The distribution of preferences is the same across different age groups. C. A greater percentage of employees who prefer flex hors are in the over 45 age category compared to those who prefer 4-day work week. D. A greater percentage of employees who prefer a 4-day work week are in the over 45 age category compared to those who prefer flax hours.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
Option D is the correct answer
Step-by-step explanation:
Now looking at the bar chart we see that a greater number of employee over the age of 45 preferred the 4-day work week compared to the number of employee between 30- 45 who preferred to have a flexible work hour and employee below 30 who' s preference are the same for both type of work hours
A man driving a car leaves a point A drives up to 32.5 km in a direction of 070. A cyclist leaves the same point in a direction 130 travelling. After some few hours both drivers are 80 km apart. Use this information to answer 3 questions. (1). What is the distance covered by the cyclist at this time in 2 d.p. (2). Find the bearing of Cyclist from the Car. correct to 1 d.p. (3). Find the shortest distance between the car and the line of path of the cyclist, in 2 d.p.
Answers
Answer: No 1 is 91.14 km who else could help with the rest of the solution for number 1, 2 & 3.
For a super soaker water gun, a pump handle is moved back and forth to build up pressure in the water reservoir. The water is released by pulling a trigger and shooting the water a significant distance. Assuming that you can create an absolute pressure of 8 atm in the reservoir:
a) What is the velocity at which the water leaves the gun?
b) If the water exits the gun through a hole with a radius of 1-mm, what is the volume rate of flow in m3/s?
c) If the water gun is fired horizontally and held 1.2 meters above the ground, where does the water hit the ground? Pressure 8 cm water
Answers
Answer:
a) The velocity at which the water leaves the gun = 37.66 m/s
b) The volume rate of flow = (1.183 × 10⁻⁴) m³/s
c) The water hits the ground 18.64 m from the point where the water gun was shot.
Step-by-step explanation:
a) Using Bernoulli's equation, an equation that is based on the conservation of energy.
P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂
The two levels we are considering is just inside the water reservoir and just outside it.
ρgh is an extension of potential energy and since the two levels are at the same height,
ρgh₁ = ρgh₂
Bernoulli's equation becomes
P₁ + ½ρv₁² = P₂ + ½ρv₂²
P₁ = Pressure inside the water reservoir = 8 atm = 8 × 101325 = 810,600 Pa
ρ = density of water = 1000 kg/m³
v₁ = velocity iof f water in the reservoir = 0 m/s
P₂ = Pressure outside the water reservoir = atmospheric pressure = 1 atm = 1 × 101325 = 101,325 Pa
v₂ = velocity outside the reservoir = ?
810,600 + 0 = 101,325 + 0.5×1000×v₂²
500v₂² = 810,600 - 101,325 = 709,275
v₂² = (709,275/500) = 1,418.55
v₂ = √(1418.55) = 37.66 m/s
b) Volumetric flowrate is given as
Q = Av
A = Cross sectional Area of the channel of flow = πr² = π×(0.001)² = 0.0000031416 m²
v = velocity = 37.66 m/s
Q = 0.0000031416 × 37.66 = 0.0001183123 m³/s = (1.183 × 10⁻⁴) m³/s
c) If the height of gun above the ground is 1.2 m. Where does the water hit the ground?
The range of trajectory motion is given as
R = vT
v = horizontal component of the velocity = 37.66 m/s
T = time of flight = ?
But time of flight is given as
T = √(2H/g) (Since the initial vertical component of the velocity = 0 m/s
H = 1.2 m
g = acceleration due to gravity = 9.8 m/s²
T = √(2×1.2/9.8) = 0.495 s
Range = vT = 37.66 × 0.495 = 18.64 m
Hope this Helps!!!
2.In a large university 13.5% of the students take economics, 24.7% of the students take statistics and 11.7% take economics and statistics. The probability that a randomly selected student didn’t take economics but did take statistics is close toالقارئ الشامل (2/2 نقط
Answers
Answer:
The probability that a randomly selected student didn’t take economics but did take statistics is 13%.
Step-by-step explanation:
Let the event that a student offers Economics be E.
The event that a student does NOT offer Economics is E'.
Let the event that a student offers Statistics be S.
The event that a student does NOT offer Statistics be S'.
P(E) = 13.5% = 0.135
P(S) = 24.7% = 0.247
P(E n S) = 11.7% = 0.117
Find the probability that a randomly selected student didn’t take economics but did take statistics
This probability = P(E' n S)
Since E and E' are mutually exclusive events,
P(S) = P(E' n S) + P(E n S)
P(E' n S) = P(S) - P(E n S)
P(E' n S) = 0.247 - 0.117 = 0.13 = 13%
Hope this Helps!!!
El precio de un ordenador portátil ha aumentado un 25% y posteriormente fue rebajado un cierto porcentaje.Calcule que porcentaje de descuento habría que aplicar para que quede al precio original de antes del aumento. Porfa responder!!!
Answers
Answer:
Se requiere un 20 por ciento de descuento.
Step-by-step explanation:
(This exercise has been presented in Spanish and for that reason explanation will be held in the same language)
Sea [tex]p_{o}[/tex] el precio original del computador portatil, el nuevo precio es:
[tex]p_{1} =\left(\frac{100\,\% + 25\,\%}{100\,\%} \right)\cdot p_{o}[/tex]
[tex]p_{1} = 1.25\cdot p_{o}[/tex]
Si [tex]p_{2} = p_{o}[/tex], entonces el porcentaje requerido para recuperar el precio original es:
[tex]r = \left(1-\frac{p_{2}}{p_{1}} \right)\times 100\,\%[/tex]
[tex]r = \left(1-\frac{p_{o}}{1.25\cdot p_{o}} \right)\times 100\,\%[/tex]
[tex]r = \left(1-\frac{1}{1.25} \right)\times 100\,\%[/tex]
[tex]r = 20\,\%[/tex]
Se requiere un 20 por ciento de descuento.
3] The population of a
village is 4800. There are
1200 men, 1620 women
480 boys and the rest are
girls.
(a) How many girls are
in the village?
(b) Calculate the
percentage of men in
the village.
Answers
Answer:
A) 1500 girls
B) 25% are men
Step-by-step explanation:
I hope this helps
I need help pls someone:(
Answers
Answer:
7/30
Step-by-step explanation:
According to the Mortgage Bankers Association, 21% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of seven mortgages was selected. What is the standard deviation of this distribution
Answers
Answer:
The standard deviation for the number of delinquent mortgages in the sample is 1.08.
Step-by-step explanation:
For each mortgage, there are only two possible outcomes. Either it is delinquent, or it is not. The probability of a mortgage being delinquent is independent of other mortgages. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
21% of U.S. mortgages were delinquent last year.
This means that [tex]p = 0.21[/tex]
A random sample of seven mortgages was selected.
This means that [tex]n = 7[/tex]
What is the standard deviation of this distribution
[tex]\sqrt{V(X)} = \sqrt{7*0.21*0.79} = 1.08[/tex]
The standard deviation for the number of delinquent mortgages in the sample is 1.08.
Provide an appropriate response. A 28-year-old man pays $94 for a one-year life insurance policy with coverage of $120,000. If the probability that he will live through the year is 0.9991, what is the expected value for the insurance policy
Answers
Answer:
$ 14.08
Step-by-step explanation:
We have that the policy costs $ 94 and with life insurance with coverage of $ 120,000, to calculate the expected value, we must subtract the value of that life insurance multiplied with the probability of dying (complement of the probability of living) and the policy value multiplied by the probability of staying alive) like this:
120000 * (1 - 0.9991) - 94 * 0.9991 = 14.0846
Which means that the expected value of the policy is $ 14.08
An object travels along a horizontal path at a constant rate.the object travels 1/20 of the length of the path in 3/4 second.at that rate,how many seconds does it take the object to travel the entire length of the path?
Answers
Answer:
The onject 1/8 of the length of the path 3/4 in second.
Using the ratio and proportion to find the total time does it take the object to travel the entire length of the path as following
Length:time
X:(total time )
Total time x.(3/4)/(1/8x)=(3/4)/(1/8) = 6 seconds
In general, the probability that a blood donor has Type A blood is 0.40.Consider 8 randomly chosen blood donors, what is the probability that more than half of them have Type A blood?
Answers
The probability that more than half of the 8 randomly chosen blood donors have Type A blood is approximately 0.2533 or 25.33%.
To calculate the probability that more than half of the 8 randomly chosen blood donors have Type A blood, we can use the binomial probability formula:
[tex]\mathrm{P(X > n/2) = \sum [ P(X = k) ]}[/tex]
where the sum is taken from k = (n/2 + 1) to k = n
In this case, n represents the number of trials (8 blood donors) and p is the probability that a single blood donor has Type A blood (0.40).
P(X = k) is the probability of getting exactly k donors with Type A blood, and it is given by the binomial probability formula:
[tex]\mathrm {P(X = k) = (n, k) \times p^k \times (1 - p)^{(n - k)}}[/tex]
where (n choose k) represents the number of combinations of n items taken k at a time, and it is given by:
[tex]\mathrm {(n, k) = \frac{n!}{(k! \times (n - k)!)}}[/tex]
Now, let's calculate the probability that more than half (i.e., 5 or more) of the donors have Type A blood:
[tex]\mathrm{P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)}[/tex]
[tex]\mathrm {P(X = k) = (8, k) \times 0.40^k \times (1 - 0.40)^{(8 - k)}}[/tex]
[tex]\mathrm{P(X = 5)} = (8, 5) \times 0.40^5 \times (1 - 0.40)^{(8 - 5)}\\\\= 56 \times 0.01024 \times 0.343\\\\= 0.1961984[/tex]
[tex]\mathrm{P(X = 6)} = (8, 6) \times 0.40^6 \times (1 - 0.40)^{(8 - 6)}\\\\= 28 \times 0.004096 \times 0.36\\\\= 0.0516608[/tex]
[tex]\mathrm {P(X = 7)} = (8, 7) \times 0.40^7 \times (1 - 0.40)^{(8 - 7)}\\\\= 8 \times 0.0016384 \times 0.4\\\\= 0.0052224[/tex]
[tex]\mathrm {P(X = 8)} = (8, 8) \times 0.40^8 \times (1 - 0.40)^{(8 - 8)}\\\\= 1 \times 0.00065536 \times 0.4\\\\= 0.000262144[/tex]
Now, add all these probabilities together to get the final result:
[tex]\mathrm {P(X > 4)} = 0.1961984 + 0.0516608 + 0.0052224 + 0.000262144\\\\= 0.253343344[/tex]
Therefore, the probability that more than half of the 8 randomly chosen blood donors have Type A blood is approximately 0.2533 or 25.33%.
Learn more about probability click;
https://brainly.com/question/32117953
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What three-digit number with units digit 2 and hundreds digit 4 is divisible by 9?
Answers
Answer:
Dear user,
Answer to your query is provided below
A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.
Step-by-step explanation:
Here , It is given that the number is three digit in which units digit is 2 and hundreds digit is 4.
As per rule, the sum of its digits should've divisible by 9. So, Let the unknown digit be X .
Therefore, 2+X+4 =9
This implies, X = 9-2-4 = 3
So, the three digit number will be 432.
Verify - 432/9 = 48
Hence proved
a kangaroo and a wallaby are in a race. They have to get to a flagbole that is 100 meters away and back. For every 2 hops the kangaroo does, the wallaby does three but the kangaroo's jumps are 3 meters while the wallaby's are 2. Who gets there and back first (hint: it isnt a draw)
Answers
Answer:
im going to say a wallaby because they are smaller and lighter and if you think of the weight then less power is needed for a wallaby
idk lol XD
Step-by-step explanation:
What is the square root of -1 ?
Answers
Answer:
i
Step-by-step explanation:
Pls help I really need help
Answers
Answer:
7. [tex]x \leq 5[/tex]
8. [tex]x\geq 4[/tex]
9. x < 5
10. x < -7
11. x < 45
12. [tex]x\geq -10[/tex]
13. x < -7
14. x < 45
15. [tex]x\leq 50[/tex]
16. [tex]w\geq 16[/tex]
18. q > 4
Step-by-step explanation:
Barry has $30.00 to spend on soft drinks
for a party. A case of soft drinks costs
$4.65. Which inequality can be used to find how many cases (c) of soft drinks
Barry can purchase?
Answers
Answer:
30 ≥ 4.65x
Step-by-step explanation:
He cannot purchase more than $30, so the amount that he buys must always be less than 30.
Find the probability. Enter your answer as a simplified fraction.
Picking a purple marble from a jar with 14 green and 14 purple marbles.
Answers
Answer:
1/2
Step-by-step explanation:
14 green and 14 purple marbles = 28 marbles
P( purple) = purple/ total
= 14/28
=1/2
What is the symbol for pi?
Answers
Answer:
π
Step-by-step explanation:
Write the expressions "Four times the difference of a number and 1 is equal to six times the sum of the number and three. Find the number
Answers
Answer:
4(x - 1) = 6(x + 3)
x = -11
Step-by-step explanation:
x represents “the number” so we would substitute this with a variable.
(I hope this helps! Have a great day AND STAN BTS)
y= -x + 1/2+1
- 3x+y=6
Answers
Please answer this correctly
Answers
Answer:
the second oneStep-by-step explanation:
so much for bein a college student.
The function V(r) = four-thirds pi r cubed can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
Answers
Answer:
V(r) is the volume of basketball when the radius is r.
Answer:
B. the volume of the basketball when the radius is r
Step-by-step explanation:
17)Let f(x) = -2x + 5 and g(x) = 9x2 + 4. Find f(8) + g(8) . A)565 B)569 C)564 D)560
Answers
Answer:
answer B [tex]\boxed{ \ 569 \ }\\[/tex]
Step-by-step explanation:
f(8)=-2*8+5=-11
g(8)=9*8*8+4=580
f(8)+g(8)= -11+580=569
What is the final amount if 931 is decreased by 1% followed by a 1% increase?
Give your answer rounded to 2 DP.
Answers
Answer:
930.91
Step-by-step explanation:
931 x 99% = 921.69
921.69 x 101% = 930.9069
Answer:
930.91
Step-by-step explanation:
931*99%=921.69
921.69*101=930.91
The iron cube of side 42 com has a hole of diameter 14cm
drilled out. Calculate the volume of iron in the cube
and the total Surface area
of the Cube
Answers
Answer:
Step-by-step explanation:
Total surface of the cube = 6a²
= 6 * 42 * 42
= 10584 cm²
Hole that is drilled out, will make a cylinder shape in the middle of the cube
Volume of iron in the cube = Volume of cube - volume of cylinder
Volume of cube = a³
= 42 * 42 * 42
= 74088 cm³
Cylinder:
r = 14/2 = 7 cm
h = sideof the cube = 42 cm
Volume = πr²h
[tex]=\frac{22}{7}*7*7*42\\\\=22*7*7*6[/tex]
= 6468 cm³
Volume of iron in the cube = Volume of cube - volume of cylinder
= 74088 - 6468
= 67620 cm³
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answers
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Each have four possible answers left parenthesis a,b,c,d right parenthesis, one of which is correct. Assume that you guess the answers to three such questions.
a. Use the multiplication rule to find P(CWC), where C denotes a correct answer and W denotes a wrong answer.
b. Beginning with CWC, make a complete list of the different possible arrangements of two correct answers and one wrong answer, then find the probability for each entry in the list.P(CWC)minussee above P(WCC)equals? 0.046875 P(CCW)equals? 0.046875 (Type exact answers.)
c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses aremade?
Answers
Answer:
a. P(CWC)=0.046875
b. P(WCC)=0.046875
P(CCW)=0.046875
c. P=0.140625
Step-by-step explanation:
By the rule of multiplication there are 64 forms to answer three questions. This is calculated as:
4 _ * 4 * 4 = 64
1st question 2nd question 3rd question
Because there are 4 options for every question. At the same way, from that 64 options, 3 are CWC and it is calculated as:
1 _ * 3 * 1 = 3
1st question 2nd question 3rd question
Because there is just one answer that is correct for the first question, there are 3 answers wrong for the second question and there are 1 answer correct for the third question.
So, the probability P(CWC) is equal to:
[tex]P(CWC)=\frac{3}{64}=0.046875[/tex]
Then, the complete list of the different possible arrangements of two correct answers and one wrong answer are: CWC, WCC and CCW
Therefore, the probabilities P(WCC) and P(CCW) are calculated as:
[tex]P(WCC)=\frac{3*1*1}{64}=\frac{3}{4}= 0.046875[/tex]
[tex]P(CCW)=\frac{1*1*3}{64}=\frac{3}{4}= 0.046875[/tex]
Finally, the probability of getting exactly two correct answers is the sum of the probabilities calculated before.
[tex]P=P(CWC)+P(WCC)+P(CCW)\\P=0.046875+0.046875+0.046875\\P=0.140625[/tex]
(80 POINTS) What rule describes a dilation with a scale factor of ½ and the center of dilation at the origin?
Answers
Answer:
C
Step-by-step explanation:
(x, y) -> (1/2x, 1/2y)
When you dilate a side, point, etc, you are multiplying the original dimension by the scale factor. That is represented in option C: the original x and y are multiplied by the scale factor, 1/2! Hope that helps! :)
Answer:
C. (x,y) → (1/2x,1/2y)
Step-by-step explanation:
Dialation means to multiply each coordinate by scale factor and in this case it's 1/2