PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Suppose 15% of the apples picked one afternoon are rotten.
The following simulations demonstrate how apples can be randomly chosen and then recorded as rotten or not rotten.
Which simulation best models the scenario?
Answers
Answer: B) 3 out of 20
Step-by-step explanation:
[tex]\text{3 out of 30: }\dfrac{3}{30}=10\%\\\\\text{3 out of 20: }\dfrac{3}{20}=15\%\\\\\text{3 out of 15: }\dfrac{3}{15}=20\%\\\\\text{3 out of 12: }\dfrac{3}{12}=25\%[/tex]
The only option that results in 15% rotten apples is (B) 3 out of 20
Related Questions
A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees above the ground from a height of 4.5 ft. Approximately how long does it take for the ball to hit the ground? Acceleration due to gravity is 32 ft./s^2.
A. 2.35 seconds
B. 2.47 seconds
C. 6.46 seconds
D. 6.50 seconds
Answers
Answer:
T= 2.35 seconds
Step-by-step explanation:
⇒The question is on the time of flight.
⇒Time of flight is the time taken for a projected object to reach the ground.It depends on the projectile angle and the initial velocity of the projectile
Given;
Initial velocity of ball= 110ft./sec.
The projectile angle= 20°
Acceleration due to gravity, g=32 ft./s²
⇒Formulae for time of fright T= (2×u×sin Ф)/g
Where T=time of fright, u=initial velocity of projectile, Ф=projectile angle and g=acceleration due o gravity.
Substituting values
T= (2×u×sin Ф)/g
T=( 2×110×sin 20°) / 32
T= 2.35 seconds
Answer:
Option B - Time taken for the ball to hit the ground is 2.47 seconds.
Step-by-step explanation:
Given : A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees above the ground from a height of 4.5 ft.
To find : How long does it take for the ball to hit the ground?
Solution :
According to question,
The equation that models the height of the ball in feet as a function of time is
[tex]h(t) = h_0 + v_0t -16t^2[/tex]
Where, [tex]h_0[/tex] is the initial height,
[tex]v_0[/tex] is the initial velocity and
t is the time in seconds.
We have given,
Initial height, [tex]h_0=4.5 ft.[/tex]
A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees.
The initial speed, [tex]v_0=110\times \sin(206\circ)[/tex]
[tex]v_0=37.62ft/s[/tex]
We have to find the time for the ball to hit the ground i.e. h(t)=0
Substitute all the values in the formula,
[tex]0 =4.5+ 37.62t -16t^2[/tex]
Applying quadratic formula to solve the equation,
The solution of quadratic general equation [tex]ax^2+bc+c=0[/tex] is
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Where, a=-16 , b=37.62 , c=4.5
Substituting in the formula,
[tex]t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}[/tex]
[tex]t=\frac{-37.62\±\sqrt{1703.2644}}{-32}[/tex]
[tex]t=\frac{-37.62\±41.270}{-32}[/tex]
[tex]t=\frac{-37.62+41.270}{-32},\frac{-37.62-41.270}{-32}[/tex]
[tex]t=-0.114,2.47[/tex]
neglecting the negative value
t=2.47 seconds
Therefore,Option B is correct.
Time taken for the ball to hit the ground is 2.47 seconds.
5
∑ (2n-1)
n-1
Find the sum of the series. Show your work. Thanks for the help
Answers
Answer:
225
Step-by-step explanation:
15(1+15/2) *2= 240-15=225
The sum of the arithmetic series given by the terms (2n - 1) for n=1 to 5 is 25, computed using the formula for the sum of an arithmetic series.
The series in question is an arithmetic series with a difference of 2 and the sum of the first n terms can be represented by the formula for the sum of an arithmetic series, Sn = n/2[2a + (n-1)d], where 'a' is the first term and 'd' is the common difference between the terms.
In the provided series, each term is of the form (2n - 1) starting with n=1 and going till n=5. So the first term, a = 2(1) - 1 = 1, and the common difference, d = 2 since each subsequent term increases by 2.
We can compute this sum directly by evaluating S5, using the formula for an arithmetic series: S5 = 5/2[2(1) + (5-1)(2)] = 5/2[2 + 8] = 5/2[10] = 25. So, the sum of the series is 25.
Find the length of segment BC. Please help ASAP
Answers
BC also has length 12 because arcs DC and CE add up to 117 degrees in measure, so that arc DE is congruent to arc BC, and the chords DE and BC that respectively intercept these arcs must also be congruent.
P(A) =0.20 P(B) = 0.25 P(A and B) = 0.10. What is P(B/A)?
A. 0.25
B. 0.40
C. 0.50
D. 0.05
Answers
Answer:
Final answer is [tex]P(B/A)=0.5[/tex]
Step-by-step explanation:
Given that P(A) =0.20
P(B) = 0.25
P(A and B) = 0.10.
Now we need to find about what is the value of P(B/A).
P(A and B) = P(A) * P(B/A)
Plug the given values into above formula:
[tex]0.10=0.20\cdot P(B/A)[/tex]
[tex]\frac{0.10}{0.20}=P(B/A)[/tex]
[tex]0.5=P(B/A)[/tex]
[tex]P(B/A)=0.5[/tex]
Hence final answer is [tex]P(B/A)=0.5[/tex]
Answer:
c is the answer
Step-by-step explanation:
50 POINTS!! :) A dog that has been tethered has a 20 foot lead makes the path shown here. If the length of the path is 45 feet, the measure of angle 0 is ___ radians.
Answers
Answer:
The measure of angle theta is [tex]\theta=2.25\ radians[/tex]
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=20\ ft[/tex]
substitute
[tex]C=2\pi (20)[/tex]
[tex]C=40\pi\ ft[/tex]
step 2
Find the measure of angle theta
we know that
The circumference of a circle subtends a central angle of [tex]2\pi\ radians[/tex]
so
using proportion
Find out the measure of the central angle by a length of arc equal to 45 ft
[tex]\frac{40\pi}{2\pi}=\frac{45}{\theta}\\ \\\theta=2*45/40\\ \\ \theta=2.25\ radians[/tex]
Answer: 2.25 radians
Step-by-step explanation:
Ian's parents asked him to creat a budget for his $ 1,000 monthly income . He determines that he would like to save the remaining amount. What percent of his budget will go towards saving. Expense : Amount ($) Car payment $ 350 Car insurance $ 100 Fuel $ 120 Cell phone $ 80
Answers
35%
First, we need to find the amount of money that is being spent. Add all of the amounts together.
$350 + $100 + $120 + $80
$450 + $120 + 80
$570 + $80
$650
So, Ian spends $650 of his budget each month. How much does that leave for savings? Just subtract $650 from $1,000 to find that he saves $350 each month.
Now, you just need to find the percentage. The percentage is the same as the numerator in a fraction with a denominator of 100, so x% = x/100. For example, 1% = 1/100. $350 / $1000 = x / 100
How do we turn 1,000 into 100? Divide it by 10. And if you do something to the denominator of a fraction, you have to do it to the numerator as well. So, divide $350 by 10 and divide $1000 by 10, leaving you with $35 / $100 = x / 100
Multiply both sides by 100 to get x by itself. This leaves you with 35 = x, so 35% of Ian’s budget with go towards saving.
2 fair dice are rolled. what is the probability that the sum is even given that the first die is rolled is a 2?
Wouldnt you add 6+6=12 then divide that with the probability of getting a 2?
Answers
===================================================
Explanation:
"given that the first die rolled is a 2" means we know 100% that the first die shows a 2. Either we can see the die or a friend is telling us the status. Since we know the first die is a 2, this means we can effectively ignore it. Everything will hinge on the second die. If the second die shows an odd number, something like 1, then 2+1 = 3 is the result which is also odd.
The general rule is odd+even = odd and even+even = even.
Therefore, the two dice must together be even for the sum to be even.
Of the six possible ways to roll a die {1,2,3,4,5,6}, there are 3 even values {2,4,6} so the chances of rolling an even number on the second die is 3/6 = 1/2. Again we dont need to consider the first die at all since everything practically hinges on this second die.
Answer:
50%
Step-by-step explanation:
For the total to be even, when the first number is even, the second number also has to be even.
2, 4, and 6 are even, out of 6 numbers. That is 3 numbers out of 6, which gives us that the probability is 1 out of 2, or 50%.
The Wright family recently went out to dinner. They ordered two pizzas at $14.95 each, a salad at $4.35, and four drinks at $2.49 each. The sales tax is 7.675 %. Mr. Wright paid with a $50 bill. Mr. Wright always leaves a 15% tip on the total bill (excluding tax). How much more money will he need in order to leave a 15% tip?
A
$ 3.00
B
$ 4.23
C
$ 6.00
D
$ 7.20
Answers
Answer:
B
Step-by-step explanation:
First
Get totals for food items:
Pizza $14.95 ×2=$29.90
Salad=$4.35
Drinks $2.49 ×4=$9.76
Total Bill
$29.90
$ 4.35
+$ 9.76
$44.21 Food Bill
Second Step
Find Tip Amount Before Tax
Total Bill $44.21 × .15=$6.63 Tip
Third Step
Find Tax on Total Food Bill
$44.21 × .07675=$3.39
Fourth Step
Find amount left from paying bill with tax.
Total Bill including tax:
$44.21 (bill) +$3.39 tax=$47.60
Cash $ 50.00
Total Bill - $47.60
$ 2.40 Change left over
Fifth Step
Find amount needed to give $6.63 tip from above.
We have $2.40 we need $6.63
Subtract $6.33 -$2.40=$4.23 more money needed for tip
The correct option is B. $ 4.23. Mr. Wright needs an additional $4.23 to leave a 15% tip.
First, we need to calculate the total cost of the meal before tax and tip. The Wright family ordered two pizzas at $14.95 each, a salad at $4.35, and four drinks at $2.49 each. So, the cost of the pizzas is [tex]2 \times $14.95[/tex], the salad is $4.35, and the drinks are 4 \times $2.49.
Cost of pizzas: [tex]2 \times $14.95 = $29.90[/tex]
Cost of salad: $4.35
Cost of drinks: [tex]4 \times $2.49 = $9.96[/tex]
Total cost before tax: [tex]\$29.90 +\$\4.35 + \$\9.96 = \$\44.[/tex]21
Next, we calculate the sales tax, which is 7.675% of the total cost before tax.
Sales tax: [tex]\$\44.21 \times 7.675% = \$\44.21 \times 0.07675 = \$\3.39[/tex]
Now, we add the sales tax to the total cost before tax to get the total cost including tax.
Total cost with tax: [tex]\$\44.21 + \$\3.39 = \$\47.60[/tex]
Mr. Wright wants to leave a 15% tip on the total bill before tax. So, we calculate 15% of the total cost before tax.
Tip: [tex]\$\44.21 \times 15% = \$\44.21 \times \$\0.15 \times \$\ 6.63[/tex]
Mr. Wright paid with a $50 bill, so we subtract the total cost with tax from $50 to find out how much change he should receive.
Change from [tex]\$50: $50 - $47.60 = $2.40\[/tex]
To find out how much more money Mr. Wright needs to leave a 15% tip, we subtract the change he receives from the tip amount.
Additional money needed: [tex]\$6.63 - $2.40 = $4.23\[/tex]
Therefore, Mr. Wright needs an additional $4.23 to leave a 15% tip.
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Which situation involves descriptive statistics?
Answers
Answer:
The median price of a new home
Step-by-step explanation:
Elroy and Rose are at Schematic to buy a school planner. There are 333 colors (purple, red, and blue) and 222 formats (lined and unlined) offered. They each created a display to represent the sample space of randomly picking a color and a format.
Answers
Answer:
Both
Step-by-step explanation:
The total number of options that will be are 6. The representation made by both Elroy and Rose is correct.
What is the total number of options available?The total number of options available is the product of a total number of options available in different sectors.
Given that number of colors is 3 while the number of formats is two. Therefore, the total number of options that are available will be 6 which is the product of the two.
As we can see that both have pointed out each of the six options, therefore, the representation made by both Elroy and Rose is correct.
Learn more about Number of options:
https://brainly.com/question/11185799
CAN LIFT 10 POUNDS BY PUTTING 30 POUNDS OF WEIGHT ON A LEAVER HOW MUCH FORCE NEEDED TO LIFT A 25 POUND WEIGHT
Answers
Answer:
Is it a decimal?
Step-by-step explanation:
Solve the equation...
Answers
Answer:
D) π/2 and 3π/2
Step-by-step explanation:
The equation can be factored:
(1 -sin(x))(1 +sin(x)) = 0
The factors will be zero when ...
sin(x) = 1 ⇒ x = π/2
sin(x) = -1 ⇒ x = 3π/2
Find the domain and range of the function f(x)=-5 cos^2x
Answers
Answer:
domain: (-∞, ∞) ; range: [-5, 0]
Step-by-step explanation:
Let's begin with the basics:
The domain of cos x is (-∞, ∞); the range is [-1, 1].
The domain of cos²x is still (-∞, ∞).
Likewise, the domain of -5 cos²x is(-∞, ∞).
The range of cos²x differs: it is [0, 1] because squaring a negative number results in a positive output.
Multiplying cos²x by 5 expands the range to [0, 5].
Finally, multiplying 5 cos²x by -1 changes the range to [-5, 0].
Answer:
C
Step-by-step explanation:
Cuz edge
For the system shown below, what are the coordinates of the solution that lies in quadrant 1?
Write your answer in the form (a,b) without using spaces.
[tex]3y^2-5x^2=7\\3y^2-x^2=23[/tex]
Answers
The answer in the first quadrant is
(2,3)
If g=26.4 and F=35° find h. Round to the nearest tenth (picture provided)
Answers
For this case we have to, by definition:
[tex]cos (F) = \frac {h} {26.4}[/tex]
This means that, the cosine of the angle F, will be equal to the leg adjacent to the angle on the hypotenuse of the triangle.
So, by clearing h we have:
[tex]h = 26.4 * cos (35)\\h = 26.4 * 0.81915204\\h = 21.6256[/tex]
Rounding out the value of h we have:
[tex]h = 21.6[/tex]
Answer:
Option B
Answer:
The correct answer is option b. 21.6
Step-by-step explanation:
Points to remember:-
Trigonometric ratio
Cos θ = adjacent side/Hypotenuse
From the figure we can see a right triangle triangle FGH.
To find the value of h
It is given that, g=26.4 and F= 35°
Cos F = adjacent side/Hypotenuse
Cos 35 = adjacent side/Hypotenuse
= FG/FH = h/g
h = g * Cos F = 26.4 * Cos 54 = 26.4 * 0.8191 = 21.62 ≈ 21.6
Therefore the correct answer is option b. 21.6
The inequality -x^2 -6 <0 has how many critical points
Answers
Answer:
See below.
Step-by-step explanation:
This inequality is < 0 for all real values of x. We see this by solving -x^2 - 6 = 0 for x:
-x^2 - 6 = 0
-x^2 = 6
x^2 = -6 for which there are no real solutions of x. So the graph does not pass through the x axis.
At x = 0. f(x) < -6 so that is the one critical value - all values of f(x) are below this value.
Answer:
0 critical points
Step-by-step explanation:
Just did it and got it right
Vince read 1 /4 of his book on Monday. He read 2/ 4 more of his book on Tuesday. How much of his book did Vince read on the two days?
Answers
Answer:3/4
Step-by-step explanation: Since he read 1/4 on Monday and 2/4 on Tuesday that would add up to 3/4
What should be done to solve the following equation?
d - 8 = 9
Subtract 8 from both sides of the equation.
Add 8 to both sides of the equation.
Add 9 to both sides of the equation.
Subtract 9 from both sides of the equation.
Answers
Add 8 to both sides of the equation.
You need to get x by itself. The only way to do that here is to do the opposite of subtracting 8, which is adding 8.
Also, when you do something to one side of the equation, you have to also do it to the other side to keep the equation equal.
Answer: Add 8 to both sides of the equation
Step-by-step explanation:
d - 8 = 9
in this equation you need to solve for d. To do that you have to get d by itself.
By adding 8 to both sides of the equation you cancel out the -8 and add 8 to 9 which solves for d.
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
Answers
Remember to be mindful of signs when adding and subtracting. 2c^2+5c+4
The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units? A. No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y b. No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y c. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48 d. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24
Answers
Answer:
A
Step-by-step explanation:
The formula for the Perimeter of a rectangle is P = 2W + 2L.
Let's equate this to 60 units and substitute 11 for W and 24 units for L:
2(11 units) + 2(24 units) = 22 units + 48 units = 70 units. NO (Answer A)
A sinusoidal source is usually described by the function cos(ωt+ϕ), where the units of the frequency ω are radians/second and the units of the phase angle ϕ are degrees. this means that the product ωt has the units radians, which cannot be added to the phase angle in degrees. to evaluate the value of the sinusoidal source at a given time, you must transform the product ωt to degrees or the phase angle to radians before performing the addition in the cosine argument. if the voltage source is given by v(t)=50cos(2000t−45∘) mv, find v(392.7 μs). express your answer with the appropriate units.
Answers
Answer:
49.999999999999974312306505198184 V
Step-by-step explanation:
Step 1: you see 45°, which gives you a easy conversion [tex]\frac \pi 4[/tex]).
Now, [tex]t = 392.7 \mu s = 392.7* 10^{-6} s[/tex], start replacing.
[tex]V= 50 cos ( 2* 10^3 * 392.7 *10^{-6} -\frac \pi 4) = 50 cos (0.7854 - \frac \pi 4) =\\ 49.999999999999974312306505198184 V[/tex]
Can somebody please help me.
Answers
Answer:
72
Step-by-step explanation:
The two acute angles add up to 90 degrees. That's because the given triangle is a right triangle.
So x + 4x + 90 = 180 All triangles = 180°. Combine left side terms.
5x + 90 = 180 Subtract 90°
5x + 90 - 90 = 180 - 90 Combine
5x = 90 Divide by 5
5x/5 = 90/5 Combine
x = 18
The larger angle is 4x so
The larger angle = 4*18 = 72
PLEASE HELP Me
Thank u!!
Answers
Answer:
Length = 13
x = 80
Step-by-step explanation:
Question One
Let the width = x
Let the length = x + 5
Area = 104
Equation
Area = L * W
Area = (x+5)*x
Solution
x ( x + 5) = 104 Remove the brackets
x^2 + 5x = 104 Subtract 104 from both sides.
x^2 + 5x - 104 = 104 - 104
x^2 + 5x - 104 = 0 Factor the equation
(x + 13)(x - 8) = 0
Only x - 8 = 0 works
x = 8
The width = 8
The Length = 8 + 5 = 13
Question Two
Draw AP
<BAP = 20o The triangle (APB) is isosceles: 2 sides are radii
<BPA = 180 - 20 - 20 The three angles of a triangle = 180
<BPA = 140 Combine
Similarly <CAP = 140 Go through exactly the same steps.
<BPA + <CAP + X = 360 The total of the 3 angles in the center = 360
140 + 140 + X = 360 Combine
280 + X = 360 Subtract 280 from both sides.
x = 80
Correlation Coefficients. Image attached for the problem.
A. 11
B. 9
C. 3
D. 5
Answers
Answer:
A
Step-by-step explanation:
y bar basically means the average of the y-values.
To get the average, we add up all the y-values in the table and divide by the total number of values (here we have 5 values). Hence,
y bar = [tex]\frac{5+7+10+15+18}{5}=11[/tex]
correct answer is A
Which theorem(s) can be used to prove that the given triangles are congruent to each other with only the information shown? Select all that apply.
A. ASA similarity
B. AA similarity
C. SAS similarity
D. SSS similarity
Answers
Cuz two of the sides on both triangles are equal and they both have 90 degree angles
A 12 pack of cola costs $5.46. How much does one can of cola cost?
Answers
Answer:
46¢
Step-by-step explanation:
Note that there are 12 cola's in all. The total cost is $5.46. Divide the total cost with the amount of cola's there is:
5.46/12 = 0.455
Round: 0.455 rounded to the nearest hundredths is $0.46 (You round to the nearest hundredths, for the smallest amount for US currency is a penny, which is 1/100 of a dollar bill).
Each cola costs $0.46
~
Spencer opened a savings account and deposited $10. The account pays 3.5% interest and compounds the interest monthly. How much money will Spencer have after 10 years? **n=12 because it is compounded monthly.
Answers
Answer:
[tex]\$14.18[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=10\ years\\ P=\$10\\ r=0.035\\n=12[/tex]
substitute in the formula above
[tex]A=P(1+\frac{0.035}{12})^{12*10}=\$14.18[/tex]
Please help!! Having a hard time with this question...!
A quadrilateral is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work and/or explain how you got your answer.
m∠z=
I know this because…
m∠x=
I know this because…
m∠y=
I know this because…
(Please answer the question presented in the format in the question)
Answers
Answer:
Step-by-step explanation:
The angle you can get right away is z.
z + 93 = 180
z + 93 - 93 = 180 - 93
z = 87
===============
The next step is to solve for y. You need to draw a line from y to the center and another one from z to the center.
The triangle containing part of y and part of z has a central angle of 106 degrees.
Part of y + partz + 106 = 180
part of y + partz = 74
part of y = partz = 37 The triangle is isosceles because 2 of the legs are radii.
Do the same thing from 93 to the center and the other part of y to the center.
The central angle is 58
The two other angles are equal
part of y + part of 93 + 58 = 180
partofy + partof93 = 180 - 58
partofy + partof93 = 122
partofy = part93 = 61
So
y = 61 + 37 = 98
========================
x + y = 180 (opposite angles in a quadrillateral that fits in a circle = 180)
x + 98 = 180
x = 82
====================
x = 82
y = 98
z = 87
20 points. It’s in the picture. Right answer only please
Answers
I believe it’s B. hope it’s right!
Line segment AB has a slope of 4/3 and contains point A (6,-5). What is the y-coordinate of point Q(2, y) if QA is perpendicular to line segment AB.
Answers:
y = −2
y = −1
y = 2
y = −3
Answers
[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope~of~AB}{\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}\impliedby \textit{slope of QA} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf A(\stackrel{x_1}{6}~,~\stackrel{y_1}{-5})\qquad Q(\stackrel{x_2}{2}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-(-5)}{2-6}=\stackrel{\textit{QA's slope}}{-\cfrac{3}{4}}\implies \cfrac{y+5}{-4}=\cfrac{-3}{4} \\\\\\ 4y+20=12\implies 4y=-8\implies y=\cfrac{-8}{4}\implies \boxed{y=-2}[/tex]