Answer:
The probability is 0.609
Step-by-step explanation:
Out of 46 times that the experiment was performed:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.
Then for the orange ones we have a relative frequency (that can be thought as the probability) of:
Po = 5/46
For apple we get:
Pa = 23/46
For Lime we get:
Pl = 18/46
We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):
P = Po + Pa = 5/46 + 23/46 = 0.609
Answer:
0.61
Step-by-step explanation:
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
The experiment occured 46 times, a flavor other than lime was selected 5+23=28 times.
Probability the next chew will be a flavor other than lime:
\frac{\color{steelblue}{28}}{\color{indianred}{46}}=
46
28
=
\,\,0.608695...
0.608695...
\approx
≈
\,\,0.61
0.61
20 Points Please help me
Answer:
98 inches
Step-by-step explanation:
Multiply the top length by the bottom length
What is the quotient of 67,860 ÷ 13?
Answer:
5220
Step-by-step explanation:
A rectangular field is four times as long as it is wideIf the perimeter of the field is 300yards, what are the field's dimensions?
Answer:
Length = 120 yards, width = 30 yards.
Step-by-step explanation:
Lets use \(l\) for length and \(w\) for width.
The perimeter of a rectangular field is \(2l + 2w\). We can construct the following equations:
\(4w = l\).
\(2l + 2w = 300.\)
If we plug \(4w\) in for \(l\) into the second equation, we get:
\(2w + 2(4w) = 300.\)
\(2w+8w = 300.\)
\(10w = 300.\)
\(w= 30.\)
Plug 30 in for \(w\) into the first equation.
\(l = 4*30 = 120.\)
Length = 120 yards, width = 30 yards.
Corn chips cost 29.5 cents per ounce. If a bag cost $3.87, how many ounces are in the bag of chips?
Answer:
13.1
Step-by-step explanation:
Answer:
Around 13 ounces
Step-by-step explanation:
Would anyone like to help
Answer:
vertex= (0,-4), Axis of symmetry - x= 0,
sorry I don't know the rest and I don't know if this is even know if this is correct, so good luck I hope someone else can.
Step-by-step explanation:
help!!!! please <33333
Hello!
For this you would just need to multiple straight across. Here's how you would set it up:
3/4 ·1/8
Then you would multiple 3 x 1 = 3
And 4 x 8 =32
Your answer should be 3/32, it cannot be simplified so that is the final answer :).
What is 12 tens in standard form?
Answer:
120?
Step-by-step explanation:
sana makatulong
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Find the value of the logarithm.log 110Round your answer to the nearest thousandth.
logarithm in base 10 of 110 is equal to:
log (110) = 2.0413
Hello,can you please help me with question 25 in the photo?Thank you
Given:
The arithmetic sequence:
\(7,3,-1,-5,...\)Required:
We need to find the nth term equation and value of 20 th term.
Explanation:
The first term of the given arithmetic sequence is a =7.
\(d=3-7=-4\)The common difference is d =-4.
Consider the nth term formula for the arithmetic sequence.
\(a_n=a+(n-1)d\)Substitute a =7 and d =-4 in the formula.
\(a_n=7+(n-1)(-4)\)\(a_n=7+n(-4)-1(-4)\)\(a_n=7-4n+4\)\(a_n=11-4n\)The equation for the nth term of the given sequence is
\(a_n=11-4n.\)Substitute n=20 in the equation to find the value of 20 th term.
\(a_{20}=11-4(20)\)\(a_{20}=11-80\)\(a_{20}=-69\)Final answer:
\(a_n=11-4n\)\(a_{20}=-69\)Work this problem
9.215 -627
Answer:
−617.785
Step-by-step explanation:
use implicit differentiation to find y" in terms of y and y.
The value of y' by implicit differentiation, the value of y is \(y = \sqrt{5x +c}\)
What is implicit differentiation?We differentiate each side of an equation with two variables by taking one as a variable and the rest are constant.
Given
The function is \(y^2 + 5 = 5x\)
where x and y are variables..
On differentiating the equation, we have;
\(2yy' + 0 = 5\)
on simplifying, we have
2yy' = 5
Now solve the equation explicitly for y and differentiate to get y' in terms of x.
2yy' = 5
Separate the variables
\(y^2 = 5x + c\)
Taking square root on both the side
\(y = \sqrt{5x +c}\)
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An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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Find a solution to the linear equation −2x−2y=−12.
hw to solve 6x-12/3+4=18/x
The two solutions of the equation:
(6x - 12)/3 + 4 = 18/x
Are x = 3 and x = -3
How to solve the equation?Here we have the following equation:
(6x - 12)/3 + 4 = 18/x
Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.
Now, let's start by simplifying the left side:
(6x - 12)/3+ 4 = 18/x
2x - 4 + 4 = 18/x
2x = 18/x
Now we can multiply both sides by x so we get:
2x^2 = 18
Now divide both sides by 2:
x^2 = 18/2
x^2 = 9
Finally, apply the square root in both sides:
√x^2 = ±√9
x = ±3
The two solutions are x = 3 and x = -3
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a 90% confidence interva is constructed for the population mean. If a 95% confidence interval had been constructed instead (everything else remaining the same), the width of the interval would have been__and the p
Answer: increased
Step-by-step explanation:
An x% confidence interval indicates that a person can be x% confident that true population parameter lies in it.More level of confidence more width of the interval.
As level of Confidence interval increases width of interval increases.
Width of interval \(\propto\) level of Confidence interval
So, If a 95% confidence interval had been constructed instead of 90% the width of the interval would have been increased.
Black & Decker Manufacturing sold a set of saws to True Value Hardware. The list price was $3,800. Black & Decker offered a chain discount of 8/3/1. The net price of the saws is:
The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.
What is a chain discount?A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.
Chain discounts involve a series of trade discounts applied in sequence.
Data and Calculations:List price = $3,800
Chain discount = 8/3/1
First net price = $3,496 ($3,800 x 1 - 8%)
Second net price = $3,391.12 ($3,496 x 1 - 3%)
Third net price = $3,357.21 ($3,391.12 x 1 - 1%)
Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.
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PLEASE SOLVE THIS....I WILL GIVE BRAINLIEST!!!
Answer:
Give me a sec
Step-by-step explanation:
Which of the decimals or fractions is not equal to 0.825 or ?
loo
.
O
0.625
10
16
O 0.85
33
40
I'm confused can u tell me the question in comments
A scientist wants a 64 milliliter acid solution with a concentration of 8%. She has concentrations of 2% and 10%. How much
of each solution must she use to get the desired concentration?
Answer:
16 milliliters of 2% solution
48 milliliters of 10% solution
Step-by-step explanation:
x = 2% solution
y = 10% solution
System of Equations:
x + y = 64
.02x + .10y = 64(.08)
use Substitution: y = 64 - x
.02x + .10(64 - x) = 5.12
.02x + 6.4 - .10x = 5.12
-.08x = -1.28
x = 16
y = 64 - 16 which equals 48
16 is what percent of 20?
Answer:
3.2
Step-by-step explanation:
a table is 6 feet long and 3 feet wide. you extend the table by inserting two identical table/leaves. the longest side length of each rectangle leaf is 3 feet. the extended table is rectangular with an area of (18+6x) square feet. a: complete the diagram of the table and leaves. b: write an expression in simplest form that represents the length (in feet) of the extended table.
Yep... so they says that the area of the extended leaf is 18+6x... You know that the area is length into breath... here the breath doesn't change.. so it'll be 3ft... can get the length by dividing area by 3... that is 6+2x... Now the new length wil be 2times that plus the previous 6ft length
pls answer the top one need a naswer fast
The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft
what is a polynomial?Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.
Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28
Perimeter = (3x^2 +3x -148)ft
when x = 10
Perimeter = 3(10)^2 +3(10) -148 = 182ft
In conclusion the expression (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft
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Question 7 (1 point) The two tables below show the amount of tip, y, included on a bill charging x dollars. A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3. A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15. Which compares the slopes of the lines created by the tables?
The slope of restaurant B is twice that of restaurant A
How to compare the slopes?The tables of values are given as
X(Bill) Y(Tip) X(Bill) Y(Tip)
Rest A 10 1 Rest B 25 5
Rest A 20 2 Rest B 50 10
Rest A 30 3 Rest B 75 15
The slopes are calculated using
Slope = (y2 - y1)/(x2 - x1)
Using the table of values, we have:
Rest A = (2 - 1)/(20 - 10)
Rest A = 0.1
Rest B = (10 - 5)/(50 - 25)
Rest B = 0.2
By comparing the slopes, we have:
Rest B = 2 * Rest A
This implies that the slope of restaurant B is twice that of restaurant A
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work out the volume of the cuboid in cm³
Answer:
it is 192000 is got it right
Which of the following is equal to the rational expressions when x=2or1? (X-1)/(x+5)/(x-2)/(x-1)
Answer:
(x-2)/(x-1)
Step-by-step explanation:
(x-2)/(x-1)
A construction company distributes its products by trucks loaded at its loading station. A backacter in conjunction with trucks are used for this purpose. If it was found out that on an average of 12 trucks per hour arrived and the average loading time was 3 minutes for each truck. A truck must queue until it is loaded. The backacter’s daily all-in rate is GH¢ 1000 and that of the truck is GH¢ 400.
a) Compute the operating characteristics: L, Lq, W, Wq, and P.
b) The company is considering replacing the backacter with a bigger one which will have an average service rate of 1.5 minutes to serve trucks waiting to have their schedules improved. As a manager, would you recommend the new backacter if the daily all-in rate is GH¢ 1300.
c) The site management is considering whether to deploy an extra backwater to assist the existing one. The daily all-in-rate and efficiency of the new backwater is assumed to be the same as that of the existing backwater. Should the additional backwater be deployed?
Answer:
a idk
Step-by-step explanation:
PLEASE HELP THIS IS HARD
The Area of the shaded portion is: 72 square inches
What is the Area of the shaded region?The formula for the area of a triangle is given by the formula:
Area = ¹/₂ * base * height
Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.
Thus:
Area of larger triangle = ¹/₂ * 17 * 13 = 110.5 square inches
Area of smaller triangle = ¹/₂ * 11 * 7 = 38.5 square inches
Thus:
Area of shaded portion = 110.5 square inches - 38.5 square inches
Area of shaded portion = 72 square inches
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Kelly manages an apartment complex with 60 apartments. The monthly rent for an
apartment in the complex is $803, of which Kelly gets 9.5%. How much does Kelly
earn in a year?
State your answer in terms of dollars rounded to the nearest whole dollar.
Answer:
$54925
Step-by-step explanation:
Monthly Rent = 803
Number of apartments = 60
Kelly's commission = 9.5% -> 9.5/100 = 0.095
So
803*60*0.095 = ?
4577.10 per month.
12 months in a year
4577.10 * 12 = $54925.20
Rounded to nearest whole dollar 54925
Kelly makes $54925 per year
If a 12 ounce glass of ale contains 124 calories, how many calories are in 10 ounces?
Answer:
103.3(33333333333333333)
Step-by-step explanation:
124÷12=10.33(repeating,but just round to nearest hundredth)
10.33 x 10 = 103.3(33333333333333333)