Answer:
1/7 is the probability hope this helps
Answer:
A) 1/15
Step-by-step explanation:
The probability of picking a white marble is 3/10. Then 2 of the remaining 9 marbles are white, so the probability of picking one is 2/9.
The joint probability is (3/10)·(2/9) = 6/90 = 1/15
Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate mrs s gets a loan payoff of 60 months how much interest would she pay
Answer:
[tex]\$4701.80[/tex]
Step-by-step explanation:
Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate and she gets a loan payoff of 60 months,
We know that,
[tex]\text{PV of annuity}=P\left[\dfrac{1-(1+r)^{-n}}{r}\right][/tex]
Where,
PV = Present value of annuity = 25000,
r = rate of interest of each period = [tex]\dfrac{7}{12}[/tex]% monthly
n = number of periods = 60 months,
Putting the values,
[tex]\Rightarrow 25000=P\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right][/tex]
[tex]\Rightarrow P=\dfrac{25000}{\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]}[/tex]
[tex]\Rightarrow P=\$495.03[/tex]
Hence total amount paid is,
[tex]=495.03\times 60=\$29,701.80[/tex]
Therefore interest amount is,
[tex]=29,701.80-25,000=\$4701.80[/tex]
Dominik uses 20 grams of filling for each dumpling he makes. He has 1500 grams of dumpling filling. The grams F of filling remaining is a function of d, the number of dumplings Dominik makes. Write the function's formula.
Answer:F=−20d+1500
Step-by-step explanation:he amount of filling used to make each dumpling is constant, so we're dealing with a linear relationship.
We could write the desired formula in slope-intercept form: F=\greenD md+\maroonD bF=md+b. In this form, \greenD mm gives us the slope of the graph of the function and \maroonD bb gives us the yy-intercept. Our goal is to find the values of \greenD mm and \maroonD bb and substitute them into this formula.
Hint #22 / 3
We know that each dumpling Dominik makes decreases the filling remaining by 2020 grams, so the slope \greenD mm is \greenD{-20}−20, and our function looks like F=\greenD{-20}d+\maroonD bF=−20d+b.
We also know that Dominik has 15001500 grams of filling initially, so the yy-intercept \maroonD{b}b is \maroonD{1500}1500.
Hint #33 / 3
Since \greenD{m}=\greenD{-20}m=−20 and \maroonD{b}=\maroonD{1500}b=1500, the desired formula is:
The function's formula for the grams F of filling remaining as a function of d, the number of dumplings Dominik makes, is given by:F(d) = 1500 - 20d
To derive this formula, we start by considering the total amount of filling Dominik has, which is 1500 grams. Each dumpling uses 20 grams of filling. Therefore, if Dominik makes d dumplings, he will have used 20d grams of filling. To find the remaining filling, we subtract the amount used from the total amount initially available:
[tex]\[ F(d) = \text{Total filling} - (\text{Filling per dumpling} \times \text{Number of dumplings}) \] \[ F(d) = 1500 - (20 \times d) \] \[ F(d) = 1500 - 20d \][/tex]
This function gives us the amount of filling, in grams, that remains after Dominik has made d dumplings.
Check my answers please
A = bh is the area of a rectangle, and also the area of a parallelogram. Any rhombus is also a parallelogram, so you can also use this formula for any rhombus. This helps explain why A = bh shows up three times to account for the three different types of shapes: rectangle, parallelogram, rhombus
A = (1/2)*bh is the area of a triangle which can be written as A = 0.5*b*h
The last formula, which is A = [ (b1+b2)/2 ] *h is the area of a trapezoid. The sides b1 and b2 are the parallel bases
note: the height is always perpendicular to the base
What is the effect on the graph of the function f(x) =5x when f(x) is replaced with f(x) + 9?
Answer:
When we add 9 to the function we are shifting the function up 9 units.
Step-by-step explanation:
If it were added inside the function, it woulds shift it left or right.
But since it is outside the function, we will shift it up or down
When we add 9 to the function we are shifting the function up 9 units.
Answer:
add 9 to the function we are shifting the function up 9 units
Step-by-step explanation:
Jose bought a bag of 6 oranges for $2.82.He also bought 5 pineapples.He gave the cashier $20 and received $1.43 change.What did each pineapple cost?
Answer:
$3.15
Step-by-step explanation:
Please answer this question! :D Will give brainliest!!
Look at the picture.
Use the Pythagorean theorem to calculate x:
[tex]x^2=2^2+4^2\\\\x^2=4+16\\\\x^2=20\to x=\sqrt{20}\approx4.47\ cm[/tex]
[tex]A_1=\dfrac{8+6}{2}\cdot4=14\cdot2=28\ cm^2\\\\A_2=3\cdot6=18\ cm^2\\\\A_3=3\cdot4.47=13.41\ cm^2\\\\A=4A_1+2A_2+2A_3\\\\A=4\cdot28+2\cdot18+2\cdot13.41=174.82\ cm^2\approx175\ cm^2\\\\1mL\to1cm^2[/tex]
Answer: 175 mL12.) Find the value of x and y. Show ALL work.
Answer: The value of x = 90°
and the value of y = 43°
Step-by-step explanation:
Since we have given that
In ΔABC,
∠B=∠C=47°
As we know that "Sum of all three angles of a triangle is 180° ".
So, it becomes,
[tex]\angle A+\angle B+\angle C=180\textdegree\\\\\angle A+47\textdegree+47\textdegree=180\textdegree\\\\\angle A+94\textdegree=180\textdegree\\\\\angle A=180\textdegree-94\textdegree\\\\\angle A=86\textdegree\\\\So,\\\\y=\frac{86}{2}=43\textdegree[/tex]
Similarly,
Now, in ΔABD,
[tex]\angle A+\angle B+\angle ADB=180\textdegree\\\\43\textdegree+47\textdegree+\angle ADB=180\textdegree\\\\90\textdegree+\angle ADB=180\textdegree\\\\\angle ADB=180\textdegree-90\textdegree\\\\\angle ADB=90\textdegree[/tex]
Hence, the value of x = 90°
and the value of y = 43°
How do I solve for a? 15a²+45=0
[tex]15a^2+45=0\qquad\text{subtract 45 from both sides}\\\\15a^2=-45\qquad\text{divide both sides by 15}\\\\a^2=-3<0\\\\\text{NO REAL SOLUTION}\\\\\text{in the complex set}\\\\a^2=-3\to a=\pm\sqrt{-3}\\\\a=\pm\sqrt{(-1)(3)}\\\\a=\pm\sqrt{-1}\cdot\sqrt3\\\\\boxed{a=-i\sqrt3\ \vee\ a=i\sqrt3}\\\\------------------\\\\i=\sqrt{-1}[/tex]
A group of 40 people went to the theme park. While there, each person bought popcorn. Regular bags of popcorn sold for $6 per bag. Super size sold for $8 per bag. The group's popcorn bill was $286.
Answer:
17 regular popcorn bags and 23 super size bags.
Step-by-step explanation:
A group of 40 people went to the theme park. While there, each person bought popcorn.
Let the regular popcorn bags be = x
Let the super size bags be = y
[tex]x+y=40[/tex] ................(1)
Next equation becomes:
[tex]6x+8y=286[/tex] ...............(2)
Multiplying (1) by 6 : [tex]6x+6y=240[/tex]
Now subtracting this from (2) we get,
[tex]2y=46[/tex]
=> y = 23
And x = [tex]40-23[/tex]
=> x = 17
So, there were 17 regular popcorn bags and 23 super size bags that the group bought.
This box plot shows the heights ( in feet) of a sample of pine trees
Answer:
D
Step-by-step explanation:
The new one would have a long gap between the Q3 and the maximum of the box and whisker plot, therefore it should create a positive skew.
Answer:
D
Step-by-step explanation:
It will be positively skewed (skewed right), because that means that the longer segment would be on the right side of the median.
140 is a major outlier and a lot larger than the more central numbers. However, it's only 1 number, so the median (location of the "box") would remain similar or the same. The end on the right, however, would move far to the right, extending the "line" on that side.
Find the value of x in the triangle below.
Answer:
[tex]x=\frac{-9}{2}[/tex]
Step-by-step explanation:
We have to find the value of x from the given triangle.
By mid segment theroem which says the midpoint in a triangle of any two sides is parallel to the third side and half of the third side's length
Therefore, [tex]3x+4=\frac{1}{2}\cdot (4x-1)[/tex]
On multiplying the left hand side of the above equation by 2 from right hand side of the equation we will get:
[tex]2(3x+4)=4x-1[/tex]
[tex]\Rightarrow 6x+8=4x-1[/tex]
On simplification
[tex]\Rightarrow 2x=-9[/tex]
[tex]\Rightarrow x=\frac{-9}{2}[/tex]
A store is having a sale where school supplies are 30% off their orignal price. A backpack is on sale for 11.20. What was the original price of the backpack
Answer:
16
Step-by-step explanation:
11.2/0.7=16
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. The results in the screen display are based on a​ 95% confidence level. Write a statement that correctly interprets the confidence interval. TInterval ​(13.046,22.15) x overbarequals17.598 Sxequals16.01712719 nequals50 Choose the correct answer below. A. We have​ 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports. B. We have​ 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the sample mean of the data speeds at the airports. C. The limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports. D. The limits of 13.05 Mbps and 22.15 Mbps contain​ 95% of all of the data speeds at the airports.
The correct statement that interprets the confidence interval is option A: We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports.
The correct answer is A. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports.
The confidence interval shows that we are 95% confident that the true mean of the population of all data speeds at the airports is between 13.05 Mbps and 22.15 Mbps.
The other options are incorrect.
Option B states that we have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the sample mean of the data speeds at the airports.
This is incorrect because the confidence interval is for the population mean, not the sample mean.
Option C states that the limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports.
This is also incorrect because we can never be 100% sure that the true mean is within the confidence interval.
Option D states that the limits of 13.05 Mbps and 22.15 Mbps contain 95% of all of the data speeds at the airports.
This is incorrect because the confidence interval is for the mean of the population, not for all of the data speeds in the population.
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You have 16 oz of orange juice. It has 200 mg of vitamin c in it. That is 250% of the daily allowance for adults. WhAt is 100% of the daily allowance?
Answer:
80 mg
Step-by-step explanation:
By proportion the daily allowance is 200 * 100/250
= 200 * 10/25
= 80 mg
is 3/7 and 8/28 proportional or not proportional??
Answer:
Yes they are proportional!
The factors of 28 that we can use in these fractions are 4 and 7. To find if these are proportional, just simplify 8/28. To do so divide the numerator (top) and the denominator (bottom) both by 4...
8/28 / 4 = 4/7
Now that you have both with the same denominator, you can evaluate if 3/7 and 4/7 are proportional. In this case they are.
Hope this helps! :)
Vince loads 10 boxes into his truck.Some of the boxes weigh 20 pounds, and some weigh 30 pounds.The total weight of the boxes is 280 pounds. If x= the number of 20-pound boxes and y= the number of 30-pound boxes, which pair of equations will give the number of 20-pound and 30-pound boxes Vince has?
Answer:
Here, x represents the number of 20-pound boxes and y represents the number of 30 pound boxes.
As per the given condition: Vince loads 10 boxes into his truck.Some of the boxes weigh 20 pounds, and some weigh 30 pounds and the total weight of the boxes is 280 pounds.
⇒ x+ y =10 .....[1]
and
20x+30y = 280 .....[2]
Multiply equation [1] by 20 we get;
[tex]20(x+y) = 20\cdot 10[/tex]
Using distributive property: [tex]a\cdot(b+c) = a\cdot b + a\cdot c[/tex]
20x + 20y = 200 ....[3]
Subtract equation [3] from [2] we get;
[tex]20x+30y-20x-20y = 280-200[/tex]
Combine like terms;
10y = 80
Divide both sides by 10 we get;
y = 8
Substitute this y value in equation [1] we get;
x + 8 = 10
Subtract 8 from both sides we get;
x + 8 -8 =10-8
Simplify:
x = 2
Therefore, the pairs of equation are: x+ y =10 and 20x+30y = 280
Vince has the number of 20-pound boxes is, 2 and the number of 30 pound boxes is, 8
Answer:
No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.Step-by-step explanation:
2020 on eng
please help me
im stuck
Answer:
See the attachmentCStep-by-step explanation:
1. If you work these out in detail, they are tedious, but not difficult. Fortunately, you can take advantage of certain clues to simplify the work.
There is only one expression with a fraction bar.b(2x) means the exponent of 2 will be 2x. There is only one of those.There is only one expression that is a product (not a sum).There is only one expression with 2(2^x) in it.After the above, there is only one expression left.___
2. You know the -x as an argument of the function will flip the curve left-to-right, so only C and D are potential choices. One way to resolve the ambiguity is to see what the function value is for x=0. You find they are the same:
... f(0) = root(3)(0 -1) = g(0) = root(3)(-0-1) = root(3)(-1)
Only graph C has the two curves crossing at x=0.
___
f(x) = root(3)(x -1) is a shift to the right of the parent function root(3)(x).
Replacing x by -x reflects that function across the y-axis, so what was a shift to the right now becomes a shift to the left, as seen in graph C.
Combine like terms.
- 2/3p + 1/5 - 1 + 5/6p
Answer:
1/6 p -4/5
Step-by-step explanation:
- 2/3p + 1/5 - 1 + 5/6p
When I combine like terms, I put them next to each other.
- 2/3p + 5/6p+ 1/5 - 1
We need to get a common denominator of 6 for the p terms
-2/3 *2/2 p + 5/6 p
-4/6p + 5/6 p
1/6 p
We need to get a common denominator of 5 for the contant terms
1/5 - 1*5/5
1/5-5/5
-4/5
Substituting these in
2/3p + 5/6p+ 1/5 - 1
1/6 p -4/5
Two problems here I need solved! I need every step, so please have that with your answers!!
1. Solve this rational equation:
[tex]\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}[/tex]
1. Solve this radical equation:
[tex]\sqrt{x+11} -x=-1[/tex]
Mark, Evan, and Cayla are playing a game. There are 3 blue marbles, 2 red, and 1 green marble. If Mark pulls a blue marble he gets $1. If Evan pulls a red marble, he gets a $2. If Cayla pulls a green marble, she gets $3. Is this a fair game? If not, who has the advantage?
A) It is a fair game.
B) It is not a fair game. Mark has the advantage.
C) It is not a fair game. Evan has the advantage.
D) It is not a fair game. Cayla has the advantage.
Answer:
I think the answer is b
Step-by-step explanation:
Because Mark has a better probability of getting at least something
Answer:
C) It is not a fair game. Evan has the advantage.
Step-by-step explanation:
Mark's expected value is 3/6×$1 = $0.50.
Evan's expected value is 2/6×$2 = $0.67.
Cayla's expected value is 1/6×$3 = $0.50.
_____
Evan's expected value exceeds that of the other players. It is not fair.
A rally car race course covers 515.97 miles. The winning car completed the course in 6.5 hours. What was the average speed of the winning car?
Answer:
79.38 miles per hour
Step-by-step explanation:
average speed = miles covered / hours
= 515.97 / 6.5
= 79.38
Answer: 79.38 miles per hour
Step-by-step explanation:
Given : Distance covered by rally car race course = 515.97 miles
Time taken to complete the course by winning car = 6.5 hours
The average speed of the winning car = ( Distance covered by rally car race course) ÷ (Time taken to complete the course by winning car)
= (515.97)÷ (6.5) miles per hour
= 79.38 miles per hour
Hence, the average speed of the winning car = 79.38 miles per hour.
The present population of a town is 52,728. If the population grew at a rate of 4% per annum, what was the population three years ago?
A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The damping constant of the guitar string is 1.8, and the note produced has a frequency of 105 cycles per second.
a.) Write a trigonometric function that models the motion of the string.
b.) Using a graphing calculator, determine the amount of time t that it takes the string to be damped so that -0.24 y 0.24. Please be sure to show a screenshot of your graph.
Answer:
The equation that represents the motion of the string is given by:
[tex]y =Ae^{-kt}\cos(2\pi ft)[/tex] .....[1] where t represents the time in second.
Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.
Substitute the given values in [1] we get;
[tex]y =0.6e^{-1.8t}\cos(2\pi 105t)[/tex]
or
[tex]y =0.6e^{-1.8t}\cos(210\pi t)[/tex]
(a)
The trigonometric function that models the motion of the string is given by:
[tex]y =0.6e^{-1.8t}\cos(210\pi t)[/tex]
(b)
Determine the amount of time t that it takes the string to be damped so that [tex]-0.24\leq y \leq0.24[/tex]
Using graphing calculator for the equation
[tex]y =0.6e^{-1.8x}\cos(210\pi x)[/tex]
let x = t (time in sec)
Graph as shown below in the attachment:
we get:
the amount of time t that it takes the string to be damped so that [tex]-0.24\leq y \leq0.24[/tex] is, 0.5 sec
The trigonometric function that models the motion of the guitar string is y(t) = Asin(ωt)e^(-kt). Using a graphing calculator, the time it takes for the string to be damped within the given range can be determined.
Explanation:a) The trigonometric function that models the motion of the guitar string can be represented by the equation y(t) = Asin(ωt)e^(-kt), where A is the amplitude, ω is the angular frequency, t is the time, and k is the damping constant.
b) To determine the amount of time it takes for the string to be damped so that -0.24 ≤ y ≤ 0.24, you can use a graphing calculator to plot the trigonometric function and find the values of time at which the function crosses these y-values. You should set up the equation as follows: -0.24 ≤ Asin(ωt)e^(-kt) ≤ 0.24 and solve for t.
Please see the attached screenshot for an example of the graph.
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DHL Shipping claims that it ships 95% of its orders within three working days. You select a simple random sample of 100 orders and discover that only 91 of them shipped on time.
a) If DHL really does ship 95% on time, what is the probability that the company shipped 91 or fewer out of 100 orders were shipped on time?
b) A marketer from UPS jumps on the research stating, "They claim 95% on time, but by their own research they only ship 91% on time!" Provide a rebuttal to the UPS marketer in non-statistical terms.
Answer:
a) 5.4%
Step-by-step explanation:
a) We will use the binomial distribution, with n = 100 and p(success) = 0.95
We need to calculate
P(X=x) = [tex]\binom{n}{x}p^{x}q^{n-x}[/tex]
P(X ≤91) = [tex]\sum_{k=1}^{91}\binom{100}{k}0.95^{k}0.5^{n-k}[/tex]
As we know that binomial distribution can be approximated to normal distribution if np≥5 and nq≥5 as in this case.
Therefore, P(x,n,p) →N[tex](\mu, \sigma )[/tex]
[tex]\mu[/tex] = np = 95
[tex]\sigma[/tex] = √npq = 2.`79
P(X≤91) ≅ P(X≤91.5) = P( Z≤[tex]\frac{91.5-95}{2.179}[/tex]
= P( Z≤ -1.6)
= 0.054
Probability = 5.4%
b) If the probability was less than 5% then we must say that the DHL Shipping company don not ships 95% of its orders on time but as we can see that the probability is more that 5% that is 5.4%. So, we cannot say that the company does not ships the orders on time. But we cannot say with confirmation, we need more samples so as to judge accordingly.
In which quadrant does the point that is graphed lie?
A) I
B) II
C) III
D) IV
what is h(x)=|3x|-1 ? x=7. Insert 7 for x. Thanks!!
Answer: 20
Step-by-step explanation:
h(x) = |3x| - 1
h(7) = |3(7)| - 1
= |21| - 1
= 21 - 1
= 20
Help please answer this .... is this bettter?
Answer:
x = 53 degrees
Step-by-step explanation:
Alternate exterior angles are equal if two parallel lines are cut by a transversal.
If m and n are parallel, then
3x-28 = 2x+25
Subtract 2x from each side.
3x-28-2x = 2x+25-2x
x-28 =25
Add 28 to each side.
x-28+28 = 25+28
x = 53
Hey guys! I have a paper due and I need help desperately. I don't need an explanation just the answers!! Thanks! You don't have to do all of them. I Will Do BRAINLIEST!!
A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 2 bags of chips for $9.00. Another customer buys 5 hot dogs and 3 bags of chips for $11.75. Find the cost of a hot dog.
Answer: hot dog = $1.75
Step-by-step explanation:
Let h represent hot dogs and c represent bags of chips.
Customer 1: 4h + 2c = 9.00 → 3(4h + 2c = 9.00) → 12h + 6c = 27.00
Customer 2: 5h + 3c = 11.75 → -2(5h + 3c = 11.75) → -10h - 6c = -23.50
2h = 3.50
÷2 ÷2
h = 1.75
Final answer:
The cost of one hot dog is determined to be $1.75.
Explanation:
To find the cost of a hot dog, we will use the information given in two different customer purchases to set up a system of linear equations. Let's define H as the cost of one hot dog and C as the cost of a bag of chips. The first customer buys 4 hot dogs and 2 bags of chips for $9.00, which gives us the first equation:
4H + 2C = 9.00 ...(1)
The second customer buys 5 hot dogs and 3 bags of chips for $11.75, which provides us with the second equation:
5H + 3C = 11.75 ...(2)
With two equations, we can solve for H by either substitution or elimination. Let's multiply equation (1) by 3 and equation (2) by 2 to eliminate C:
12H + 6C = 27.00 ...(3)10H + 6C = 23.50 ...(4)Subtracting equation (4) from equation (3) gives us:
2H = 3.50
And dividing both sides by 2:
H = 1.75
Therefore, the cost of one hot dog is $1.75.
What is the average rate of change of the function over the interval x = 0 to x = 5? f(x)=4^2x+1
Enter your answer, as a simplified fraction,
Answer: 838860
=========================================
Plug in x = 0 to find y = f(x)
f(x) = 4^(2x+1)
f(0) = 4^(2*0+1)
f(0) = 4
The point (0,4) is on the function curve
Plug in x = 5 and compute
f(x) = 4^(2x+1)
f(5) = 4^(2*5+1)
f(5) = 4194304
The point (5, 4194304) is on the function curve
Once you have these two points, you use the slope formula to compute the average rate of change
m = (y2-y1)/(x2-x1)
m = (4194304 - 4)/(5-0)
m = 838860
The slope of the line through the two points found earlier is m = 838860, so this is the average rate of change on f(x) for the interval from x = 0 to x = 5.