Estimate the area under the curve and above the x-axis with 4 Subintervals.
F(t) = t(20-t)
There are 3 red jelly beans, 5 blue jelly beans, 2 orange jelly beans, and and 5 yellow jelly beans in a bag. Another bag has 1 pink jelly bean, 7 purple jelly beans, and 2 green jelly beans. What is the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag?
1/15
3/10
7/25
1/4
The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).
Firstly, we need to determine the total number of jelly beans in both bags.
The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).
Therefore, the total number of jelly beans in both bags is 25.
Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.
Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.
After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.
Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.
To determine the probability of both events occurring, we use the multiplication rule of probability.
Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.
Hence, the answer is option (a) 1/15.
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You start at (-1, -2). You move down 3 units. Where do you end?
You will end up at the point (-1, -5).
We have,
Starting at the point (-1,-2), moving down 3 units means moving 3 units in the negative y-direction.
Now,
The endpoint will have the same x-coordinate as the starting point but a y-coordinate that is 3 less than the starting y-coordinate.
This means,
The endpoint is (-1, -5).
Thus,
You will end up at the point (-1, -5).
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find all solutions of x^2-6x+10=0 express in form a+bi
the solutions of the equation [tex]x^{2} -6x+10=0[/tex] in terms of a+ib are given by x=3-i and x=3+i.
The given equation is [tex]x^{2} -6x+10=0[/tex]. To find the solution to the equation, we use the quadratic formula.
The expression [tex]ax^{2} +bx+c=0[/tex] is the quadratic equation of the second degree, where a, b, and c are coefficients, then the quadratic formula is given by, [tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex].
Here, [tex]a=1[/tex], [tex]b=-6[/tex], and [tex]c=10[/tex]. Substitute all the values in the above formula, and we get
[tex]$x=\frac{-6\pm\sqrt{(-6)^2-4(1)(10)}}{2(1)}$[/tex]
[tex]$x=\frac{-6\pm\sqrt{36-40}}{2}$[/tex]
[tex]$x=\frac{-6\pm\sqrt{-4}}{2}$[/tex]
The squares of the negative real number give an imaginary unit 'i'.
So, the value of [tex]\sqrt{-4}[/tex] is [tex]2i[/tex]. Then,
[tex]x=\frac{-6\pm2i}{2}[/tex]
[tex]x=\frac{2(3\pm i)}{2}}[/tex]
[tex]x=3\pm i[/tex]
Therefore, the solutions of the equation [tex]x^{2} -6x+10=0[/tex] in terms of a+ib are given by [tex]x=3-i[/tex] and [tex]x=3+i[/tex].
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help with homework due tomorrow
The probability of drawing either a diamond or an ace from a deck of cards is [tex]\frac{4}{13}[/tex].
We need to determine the favorable outcomes (cards that satisfy the conditions) and divide that number by the total number of possible outcomes in order to calculate the probability of drawing either a diamond or an ace from a regular 52-card deck of playing cards.
Number of aces in a deck = 4 (one for each suit: hearts, diamonds, clubs, and spades)
Number of diamonds in a deck = 13
One card, the Ace of Diamonds, is both a diamond and an ace, thus we must subtract it once from the total in order to prevent double counting.
Therefore, the favorable outcomes = 4 (number of aces) + 13 (number of diamonds) - 1 (Ace of Diamonds) = 16.
The total number of possible outcomes is 52 (the number of cards in a deck).
[tex]Probability = \frac{ Favorable \ outocomes}{Total\ number\ of\ possible\ outcomes} = \frac{16}{52} = \frac{4}{13}[/tex]
Therefore, the probability of drawing either a diamond or an ace is 4/13 or approximately 0.3077, or 30.77%.
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To read a decimal out loud, say the whole number first, if there is one. True or false.
Answer:
True.
Step-by-step explanation:
This is because our whole number comes before the tenths, hundereths, etc.
7.043
Please mark brainliest!!
Please help !!!!!!!!!!! 25 points
When Cassie Pennicuik says "celebrate the effort," she likely means that it's important to acknowledge and recognize the hard work and dedication that goes into achieving a goal, regardless of whether the outcome is successful or not.
Understanding the statement of Cassie PennicuikBy celebrating the effort, she's encouraging people to appreciate the journey and process of working towards a goal, and not just focus solely on the end result.
Celebrating the effort can take many forms. Here are some of them:
acknowledging milestones: the progress made towards the goal,recognizing individual: team contributions and efforts of individual,taking time to reflect: reflect on what has been learned and achieved throughout the process.It's a way to show appreciation and support for the hard work and dedication that goes into pursuing a goal, and to foster a positive and motivating work culture.
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Two people are planning their wedding. For the reception, they found the the cost C for 50 guests, g is $2150 whereas the cost for 75 guests is $3025. Calculate the slope to find the cost per guest?
The slope to find the cost per guest is 35.
We have,
Cost for 50 guests, g is $2150
Cost for 75 guests is $3025
So, The slope is then calculated as
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (3025 - 2150)/ (75-50)
Slope = 875/25
Slope= 35
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PLS HELP NO TROLLING PLS
The probability that a randomly selected points falls within the red-shaded square is given as follows:
p = 9/16.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The area of the red-shaded square is given as follows:
3² = 9 units².
The total area is given as follows:
4² = 16 units².
Hence the probability that a randomly selected points falls within the red-shaded square is given as follows:
p = 9/16.
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GIVE BRAINLIST PLEASE HELP
Answer:
P = π(11^2)/(22^2) = π/4 = .79 (about 79%)
find the value of x°
A.268°
B.108°
C.92°
Answer:
the answer is C
Step-by-step explanation:
sum of angle in a quadrilateral is 360
so
60+128+80+X=360
X=360-60-128-80
X=92°
Find the perimeter of the figure below. Show all work for each step. Work should include explanations in words detailing how you simplify each specific radical. Take your time and be thorough. Include units in final answer.
The perimeter of the rectangle is 22√3 ft
Given that a rectangle with dimension 5√3 ft and 3√12 ft we need to find its perimeter,
So, the perimeter of a rectangle = 2(length + width)
= 2(5√3 + 3√12)
= 2(5√3 + 3√(4×3)
= 2(5√3 + 3×2√3)
= 2(5√3 + 6√3)
= 2(11√3)
= 22√3
Hence the perimeter of the rectangle is 22√3 ft
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Solve by completing the square.
j² + 14j + 5 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Submit
or j =
=
Answer:
[tex]j = 7 \pm \sqrt{44}[/tex]
Step-by-step explanation:
First, move the constant term to the other side of the equation.
[tex]j\² + 14j + 5 = 0[/tex]
[tex]j\² + 14j = -5[/tex]
Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.
[tex]j^2 + 14j + (14/2)^2 = -5 + (14/2)^2[/tex]
[tex]j^2 + 14j + (7)^2 = -5 + (7)^2[/tex]
[tex]j^2 + 14j + 49 = -5 + 49[/tex]
[tex]j^2 + 14j + 49 = 44[/tex]
Now, we can factor the left side as a square.
[tex](j+7)(j+7) = 44[/tex]
[tex](j+7)^2 = 44[/tex]
Finally, we can take the square root of both sides to solve for j.
[tex]\sqrt{(j+7)^2} = \sqrt{44[/tex]
[tex]j+7=\pm\sqrt{44}[/tex]
[tex]\boxed{j = 7 \pm \sqrt{44}}[/tex]
Note that there are two solutions, as [tex]\sqrt{44[/tex] could be positive OR negative because of the even root property:
if [tex]x^2 = a^2[/tex],
then [tex]x = \pm a[/tex]
because both [tex](+a)^2[/tex] and [tex](-a)^2[/tex] equal [tex]a^2[/tex].
Help on any of these pls
A ladder is leaning against a brick chimney as shown in the picture below. The ladder is 25 feet long and is placed 15 fee up on the chimney. In order for the ladder to be stable, its base must be 15 feet or less away from the base of the chimney. Is the current position of the ladder stable?
Yes, the height of the ladder and the distance from the base of the chimney are both 15 feet.
No, the distance of the ladder from the base of the chimney is 20 feet.
Yes, the distance of the ladder from the base of the chimney is 10 feet.
No, the distance of the ladder from the base of the chimney is 40 feet.
Answer:
No, the distance of the ladder from the base of the chimney is 20 feet.
Step-by-step explanation:
I’ll give brainliest what’s the surface area of the triangular pyramid
Answer:
128.22
Explanation:
A = 6 * 5.2 + 6 * √ (5.2 / 2)² + (8.2)² + 5.2 * √ (6 / 2)² + (8.2)²
5x-8x+3 simplify the filling expression
Answer:
5x - 8x + 3 can be simplified as follows:
5x - 8x = -3x (subtract the coefficients of x)
Therefore, the simplified expression is:
-3x + 3
(Hi there, do you like stories? if so, go into my profile for my questions. Read the excerpt and give me feedback if you can)
25. Which statement about the following set
is true?
{60, 5, 18, 20, 37, 37, 11, 90, 72}
A) The median and the mean are equal.
B) The mean is less than the mode.
C) The mode is greater than the median.
D) The median is less than the mean.
E) The mode and the mean are equal.
The correct statement is,
D) The median is less than the mean.
E) The mode and the mean are equal.
Given that;
Data set is,
⇒ {60, 5, 18, 20, 37, 37, 11, 90, 72}
Hence, We can formulate;
Mean = {60 + 5 + 18 + 20 + 37 + 37 + 11 + 90 + 72} / 9
Mean = 38.89
Arrange data set into ascending order,
⇒ 5, 11, 18, 20, 37, 37, 60, 72, 90
Hence,
Median = (9 + 1)/2
= 5th term
= 37
Mode = 37
Thus, The correct statement is,
D) The median is less than the mean.
E) The mode and the mean are equal.
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tan=11/60, cos=60/11, sin=
[tex]{\boxed{\sf tan\Theta=\dfrac{sin\Theta}{cos\Theta}}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11}{60}=\dfrac{sin\Theta}{\dfrac{60}{11}}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{11}{60}\times \dfrac{60}{11}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{121}{3600}[/tex]
If a line fall on the points (25,24) and (15,17), what is its slope?
The slope of the line that passes through the points (25,24) and (15,17) is 7/10.
The formula for finding the slope of a line given two points is:
slope = (change in y) / (change in x)
where "change in y" is the difference between the y-coordinates of the two points, and "change in x" is the difference between the x-coordinates of the two points.
So, if we plug in the values from our two points, we get:
slope = (24 - 17) / (25 - 15)
Simplifying the numerator and denominator, we get:
slope = 7 / 10
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A fair coin is tossed 8 times. Find the probability it comes up heads at least TWICE. Use nCr!
The probability of getting at least two heads is 0.965
Given that
Number of times fair coin tossed = 8
Since we know
The probability of getting head in single toss = 1/2
And probability of getting tail in single toss = 1/2
Now, there are 247 combinations to get least two heads (256—1–8=247).
Therefore,
The probability of getting at least two heads
= 247/256 or 0.965…
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Suppose you are an operation manager for a plant that manufactures batteries Give an example of how you use descriptive statistics and alo inferential statics to better managerial decisions
As an operations manager for a plant that manufactures batteries, I can use both descriptive statistics and inferential statistics to make better managerial decisions
Descriptive statistics help me to summarize and describe the data collected from the manufacturing process.
For instance, I can use measures such as mean, median, mode, range, and standard deviation to summarize the data on the production output of batteries over a specific period.
Inferential statistics allow me to draw conclusions and make predictions based on the data collected from a sample of batteries produced.
For example, I can use inferential statistics to determine the probability of the battery meeting the required specifications. I can also use inferential statistics to make predictions about future production output, based on the historical data.
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Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is normally distributed.
C=0.90, x=13.7, s =3.0, n= 10
Despite having developed a reputation as a good cook, I'm really not one. What I am is a really good recipe follower. I put my trust in real chefs whose recipes are posted here on Recipe Masters. Turns out, though, my trust was misplaced. Sadly, my weekly supper club dinner that featured a Recipe Masters recipe for meatball sub casserole turned into a pizza delivery night. If after reading this review, any of my fellow Recipe Masters subscribers are still set on trying this casserole recipe, here is my advice: Stop after the first step, when the sauce turns into an un-stirrable glob. Don't do as I did and continue on, believing things will improve. They won't. Following this recipe is a recipe for disaster. My advice for Recipe Masters is to ensure that recipes posted here are "tried and true," as advertised. We subscribers pay a fee for access to "top-notch, no-fail recipes." If we lose faith in your recipes, we might just turn to the free recipe sites all over the internet. Which sentence best summarizes the author's point of view about the casserole recipe posted on Recipe Masters?
The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.
The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.
Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.
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what is the slope of the line that contains the points (-2,-20) and (3,30)?
The slope of the line that contains the points (-2,-20) and (3,30) is 10
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the slope of the line that contains the points (-2,-20) and (3,30)
Slope= 30-(-20)/3-(-2)
=30+20/3+2
=50/5
=10
Hence, the slope of the line that contains the points (-2,-20) and (3,30) is 10
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Sasha Rudy and Mario each have 1 3/4 cups of flour. Can they make a recipe for bread that needs 5 cups of flour?
Answer:
Yes
Step-by-step explanation:
1 3/4 x 3 = 7/4 x 3 = 21/4 = 5 1/4 cups
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 21 N acts on a certain object, the acceleration of the object is 3 m/s2. If the force is changed to 28 N, what will be the acceleration of the object?
When a force of 21 N acts on a certain object, the acceleration of the object is [tex]3\ m/s^2[/tex]. If the force is changed to 28 N, then the acceleration of the object will be [tex]4\ m/s^2[/tex].
By Newton's second law,
F = ma ----------(1)
where, F = amount of force needed to accelerate the object
m = object's mass
a = acceleration
When a force of 21 N, acceleration is [tex]3\ m/s^2[/tex]
Now, we put F = 21 N & a = 3 in the equation (1),
Then it becomes,
21 = m(3)
m = [tex]\frac{21}{3}[/tex]
m = 7
Now when F = 28N, we have to find a,
Equation F = ma can be written as,
28 = 7a
a = [tex]4\ m/s^2[/tex]
Therefore the acceleration will be [tex]4\ m/s^2[/tex], is the force changes to 28 N.
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
The statement that could be true for function g b) g(-13) = 20.
Since g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45, it is possible that g(-13) = 20. The fact that g(0) = -2 and g(-9) = 6 does not provide enough information to determine the value of g at x = -13.
Statement (a) is not possible since g(7) is outside the domain of g. Statement (c) is not possible since g(0) was given as -2. Statement (d) is not possible since -11 is outside the range of g.
Correct Question :
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
a) g(7) = -1
b) g(-13) = 20
c) g(0) = 2
d) g(-4) = -11
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A 40% off sale begins today at Wandas women’s warehouse what is the sale price of women’s wool coats normally priced at $250
Answer: $150
Step-by-step explanation:
250 x 0.60
=$150
Which of the following systems of inequalities would produce the region
indicated on the graph below?
3
5
Click here for long description
A. VS-x+4;y>x+2;
y≥ 0; x ≥ 0
B. Vx+4y2x+2; y≥ 0; x 20
c. v≤ x+4;y
D. V≤ x+4;y ≤x+2; y≥ 0; x ≥ 0
SUBMIT
