Probability the selected number is even is 7/15
Probability the selected number is a multiple of 4 is 1/5
Probability the selected number is prime = 2/5
What is probability?Probability is the likelihood of an event happening or an event not happening.
When it is certain an event would happen the probability is 1.
Probability can be independent or mutually exclusive.
Analysis:
Required outcome
A = {2, 4, 6, 8, 10, 12, 14} (even numbers)
Total entry = 7
Total Sample = 15
P(even numbers) = 7/15
B (multiples of 4) = {4, 8, 12}
Total entry = 3
P(B) = 3/15 = 1/5
C(prime numbers) = {2, 3, 5, 7, 11, 13}
Total entry = 6
P(C) = 6/15
P(A and C) = 0.
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In the US, 47.3% of smart phones sold are made by Apple.
Suppose that 20,465 smart phone were sold in one day.
How many of those phones would be made by Apple?
9680 smart phones of total 20465 sold smart phones would be made by Apple.
Percentage is a mathematical measurement of any mathematical quantity or number or another measurement out of a total of 100.
Here given that in the US 47.3% of smart phones sold are made by Apple.
And in one day 20465 phones are sold.
So,
Out of 100 sold smartphones, 47.3 phones are made by Apple.
then out of 1 sold smartphone 47.3/100 phones are made by Apple.
Hence out of 20465 smartphones (10465*(47.3/100)) = 9679.945 phones are made by Apple.
Since number of sold smart phone cannot be in decimal number in real, it always a whole number.
Approximating to the nearest whole number we get out of 20465 sold smart phones in one day, 9679.945 = 9680 smart phones are made by Apple.
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Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1>3 SUVs per month, where t is time in months and S1t2 is the number of SUVs sold each month. The company plans to stop manufacturing this model when monthly sales reach 300 SUVs. If monthly sales now 1t = 02 are 1,200 SUVs, find S1t2. How long will the company continue to manufacture this model?
The company will continue to manufacture this model for 19 months.
The question is ill-formatted. The understandable format is given below.
An SUV model's monthly sales are anticipated to rise at a rate of
[tex]S'(t)=-24^{1/3}[/tex] SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.
Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?
Given [tex]S'(t)=-24^{1/3}[/tex] ... ... (1)
Condition (1) at t=0; s(t) =1200
We find S(t)=300 then t=?
a) We find S(t)
from [tex]S'(t)=-24^{1/3}[/tex]
[tex]\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\[/tex]
On Integrating both sides
[tex]S(t)=-18t^{4/3}+c ~...~...~(2)[/tex]
Now, at t=0 then S(t)=1200
So, from (2)
1200=0+c
⇒c=1200
[tex]\therefore[/tex]from eq (2)
[tex]S(t)=-18t^{4/3}+1200 ~...~...~(3)[/tex]
b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.
So, take S(t)=300
from eq (2) [tex]300=-18t^{4/3}+1200[/tex]
[tex]t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030[/tex]
Hence the company will continue 18.8020 months.
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Suppose that on November 26, 2019, an ornamental bookcase handmade in Germany is priced at EUR 830. The approximate U.S. dollar price of the bookcase would be .
The approximate price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.
How to determine the price of a good in terms of a foreign currency
Herein we have an application of direct proportionality model, now described:
y = k · x (1)
Where:
x - Cost of the bookcase in Germany, in euros.k - Currency exchange rate, in US dollars per euros.y - Cost of the bookcase in the United States, in US dollars.If we know that x = 830 EUR and k = 0.908 USD/EUR, then the cost of the bookcase in the United States is:
y = (830 EUR) · (0.908 USD/EUR)
y = 753.64 USD
The approximate price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.
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I need help please I can't figure this out
The table which shows that y vary directly with x is the first table, second table and third table.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the first table, using the points (1, 3) and (3, 9):
y = 3x
From the second table, using the points (-4, -2) and (-2, -1):
y = (1/2)x
From the third table, using the points (-2, 2) and (-1, 1):
y = -x
The table which shows that y vary directly with x is the first table, second table and third table.
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from question 1 to 27, total up all of the A choices you selected on your test. What was the total number? PLWASEEE HELPPP
The addition of the total choices selected in the test based on the assumed figures is 891.
How to compute the value?Your question is incomplete and the complete question wasn't found online. An overview will be given. The assumed figures for A choices include the numbers from 20 to 46. In this case, the total of the numbers will be:
= 20 + 21 + 22 + 23 + 24 .... 46.
= 891
In conclusion, the correct option is 891.
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During one shift, the express lane clerk recorded how many times customers violated the "10 items or less"
rule for his lane. In particular, he recorded how many items over the limit each violator placed on the
conveyor belt. This data is summarized in the histogram below. NOTE: The last class actually represents "7
or more items," not just 7 items.
What is the most frequent number of over-the-limit items for this data set?
What is the frequency of the most frequent number of over-the-limit items?
The most frequent number of over-the-limit items for this dataset is 3.5 - 4.5 and the frequency of the most frequent number of over-the-limit items is 14
What is the most frequent number of over-the-limit items for this data set?The most frequent number of over-the-limit items for this data set is the dataset that has the highest frequency.
This is represented by the class that has the highest bar on the histogram
To do this, we simply check the class that has the highest bar on the histogram.
From the attached histogram the class that has the highest bar on the histogram is 3.5 - 4.5
Hence, the most frequent number of over-the-limit items for this dataset is 3.5 - 4.5
What is the frequency of the most frequent number of over-the-limit items?In (a), we have:
The most frequent number of over-the-limit items for this dataset is 3.5 - 4.5
Next, we check the frequency of the most frequent number of over-the-limit items for this dataset
According to the histogram, the most frequent number of over-the-limit items for this dataset has a frequency of 14
Hence, the frequency of the most frequent number of over-the-limit items is 14
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First accurate answer gets brainliest
Answer:
B i think
Step-by-step explanation:
For the function q(x) =10 times rootindex 5 startroot x minus 2 endroot, what is the inverse function?
Hence, the inverse of the given function is [tex]{(\frac{x}{10})}^5 - 2[/tex]
What is a function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). A function has three parts, a set of inputs, a set of outputs, and a rule that relates the elements of the set of inputs to the elements of the set of outputs in such a way that each input is assigned exactly one output.
How to solve?given function,
q(x) = 10[tex]\sqrt[5]{x-2}[/tex]
say y=q(x)
now we have,
y = 10[tex]\sqrt[5]{x-2}[/tex]
[tex]\frac{y}{10}[/tex] = [tex]\sqrt[5]{x-2}[/tex]
raising to 5th power on both sides,
[tex](\frac{y}{10})^5[/tex] = x - 2
x = [tex](\frac{y}{10})^5[/tex] + 2
[tex]q^{-1}(x) =[/tex] [tex]{(\frac{x}{10})}^5 - 2[/tex]
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What is the correct property of slopes
Let be P(x, y) and Q(x, y) two distinct points on Cartesian plane, which generates a line segment. The slope represents the "inclination" of that line segment:
[tex]m = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex]
What is the property of slope
Slope is a relationship of the change in the dependent variable (y) and the change in the independent variable (x). In this question we should present the correct definition for slope, which is described below:
Let be P(x, y) and Q(x, y) two distinct points on Cartesian plane, which generates a line segment. The slope represents the "inclination" of that line segment:
[tex]m = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)
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I need help with question 30 please! :)
Answer:
B ∩ (A ∪ C)'
Step-by-step explanation:
It's the B part excluding A and C union. Hence,
(A ∪ C)' ∩ B
can you please help me with this question? thank you
Answer:
A. Coffee 4C below the freezing point
Step-by-step explanation:
Negative temperature when talking about water means below the freezing point (below 0). Look up number line. Negative 4 is below 0 whereas positive 4 is above 0. Thus, option A is the best answer
Answer:
A
Step-by-step explanation:
This is because negative number start below zero and since water freezes at zero degrees celsius, Mia's iced coffee is below the freezing point.
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.
Answer:
The last one [tex](x=11.3, y=8)[/tex].
Step-by-step explanation:
1) There are three trigonometric ratios for right-angled triangles.
[tex]sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}[/tex]
In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.
2) In this case, we are given a length and an angle to find x and y.
Let's find x first. To find x we need to use [tex]sin()=\frac{opposite}{hypotenuse}[/tex].
[tex]sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31[/tex]
Find y.
Notice that, we can use the Pythagorean Theorem [tex](c^2=a^2+b^2)[/tex] to find y.
[tex]c^2=a^2+b^2[/tex]
[tex]11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99[/tex]
3) Round them off to the nearest tenth.
[tex]x=11.31\\x=11.3[/tex]
[tex]y=7.99\\y=8[/tex]
Therefore, the correct choice is the last one [tex](x=11.3, y=8)[/tex].
What is the definition of quantum physics?
Answer:
The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which are a kind of linear space.
please please in a survey it was found that the ratio of people who like arithmetic and algebra is 9:8 if 25% like both 80% like none of these and 20% like arithmetic only find the number of people who participate in the survey
Answer:
200
Step-by-step explanation:
it was found that the ratio of people who liked Arithmetic and Algebra is 9 : 8. If 25% liked the both, 80 liked none of these and 20% liked arithmetic only, find the total number of people participated in the survey. Ans: 200
Determine the appropriate test to be used in the next statements.
An archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate.
An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day’s trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.
A personal trainer is putting together a weight-lifting program for her clients. For a 90-day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.
A meteorologist wants to know if East and West Australia have the same distribution of storms.
A pharmaceutical company is interested in the relationship between age and presentation of symptoms for a common viral infection. A random sample is taken of 500 people with the infection across different age groups.
The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations.
A marathon runner is interested in the relationship between the brand of shoes runners wear and their run times. She takes a random sample of 50 runners and records their run times as well as the brand of shoes they were wearing.
The statistical test that can be used for the given statements is; the goodness-of-fit test
How to determine the best statistical tests?
1) For the archeologist story, the goodness-of-fit test is the best and most relevant test that can be applied because the archaeologist wishes to determine if her prediction was correct by comparing the actual number of artefacts recovered in each grid section to the expected frequencies.
2) The economist generates a list of expected stock market index points for the next two weeks, as well as the actual points at the end of each trading day. The economist then compares the actual and expected points to ensure that the model he constructed is accurate. As a result, economists can use the goodness-of-fit test in this study.
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Pls answer problem is in the image give a explanation pls not just a answer I’ll give brainiest
Total cards left
52-12=40Total hearts left
13-3=10Probability
P(Heart)=10/40=1/4Option B
Answer:
[tex]\sf F. \quad \dfrac{1}{4}[/tex]
Step-by-step explanation:
A deck of 52 playing cards contains 13 hearts.
If Sara has 12 cards from this deck in her hand and 3 of them are hearts, then:
Total cards remaining in the deck
= total deck - cards Sara has
= 52 - 12
= 40
Total hearts left in the remaining deck
= total heart cards - heart cards Sara has
= 13 - 3
= 10
So there are 40 cards in the deck and 10 of them are hearts.
Probability Formula[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore, the probability that a card drawn at random from the remainder of the deck will be a heart is:
[tex]\begin{aligned}\implies \sf P(heart) & =\dfrac{\textsf{number of hearts in remaining deck}}{\textsf{total cards in remaining deck}}\\\\ & =\dfrac{10}{40}\\ \\& =\dfrac{1}{4}\end{aligned}[/tex]
Given: AD ~ BC and AD
BC
Prove: ABCD is a parallelogram.
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answer:
.
Step-by-step explanation:
A parallelogram has two pairs of parallel lines so if AD // BC and that AD//BC, Then it is indeed a parallelogram
What is the quadratic function of this graph. Any form is fine!
Answer:
y=-0.012x(x-200).
Step-by-step explanation:
1) the given parabola has two zeros: 0 and 200. It means, the required equation is: y=ax(x-200), where a - unknown number;
2) according to the given graph the vertex is (100; 120). It is possible to substitute the coordinates of it into the equation y=ax(x-200) and calculate the value of 'a':
120=a*100(100-200); ⇒ a=-0.012.
3) finally, the required equation is:
[tex]y=-0.012x(x-200).[/tex]
The sum of a number and 6 is at least 15.???
Answer:
x + 6 ≥ 15
Step-by-step explanation:
Add any number greater than equal to 9 to the number 6 and you get a result of at least 12. Any number less than 9 produces a result that is not at least 15.
Just saying the question was not that descriptive so I don't know if this is what you asked for... Sorry!
The highest point on land on Earth is the top of Mt. Everest in the Himalayas, at an elevation of 29,028 feet above sea level. The lowest point on land is the Dead Sea, between Israel and Jordan, at 1319 feet below sea level. Find the difference in elevations.
Final answer:
The difference of the elevations is 30347 feet.
Step-by-step explanation:
Step 1
The highest elevation is 29028 feet.
Step 2
The lowest elevation is -1319 because it is below the sea level.
Step 3
The difference of the elevations is:
29028 - (-1319)
Step 4
Evaluate the value of expression:
29028 - (-1319) = 30347
A pair of dice are tossed twice.Find the probability that both rolls give at most a sum of 8.
the probability that in bot rolls we have a sum of, at most, 8, is:
P = 47/ 1,296 = 0.036
How to find the probability?The pair is tossed twice. A pair of dice has 36 possible outcomes, so if we toss twice the pair, the total number of outcomes is:
36*36 = 1,296
Now if we define the outcomes as:
{dice 1 (roll1), dice2(roll1), dice 1 (roll2), dice2(roll2) }
The outcomes that give at most a sum of 8 are:
{1, 1, 1, 1}
{2, 1, 1, 1} ( 3 permutations)
{2, 2, 1, 1} ( 6 permutations).
{2, 2, 2, 1} ( 3 permutations)
{3, 1, 1, 1} ( 3 permutations)
{3, 2, 1, 1} ( 12 permutations)
{3, 3, 1, 1} (6 permutations)
{4, 1, 1, 1} (3 permutations)
{4, 2, 1, 1} (6 permutations)
{5, 1, 1 , 1} (3 permutations)
{2, 2, 2, 2}
These are all the outcomes that give a sum of, at most, 8.
If we add all the outcomes we get 47 outcomes.
Then the probability that in bot rolls we have a sum of, at most, 8, is:
P = 47/ 1,296 = 0.036
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(3,0) and (4,4)
equation
The equation for the given coordinates (3,0) and (4,4) is 4x-y+3=0.
The given coordinates are (3,0) and (4,4).
What is the formula to find the slope of an equation?The formula to find the slope of an equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex].
Now, slope[tex]=\frac{4-0}{4-3} =4[/tex].
The equation of the line is [tex](y-y_{1} )=m(x-x_{1} )[/tex]
⇒(y-3)=4(x-0)
⇒y-3=4x
⇒4x-y+3=0
Therefore, the equation for the given coordinates (3,0) and (4,4) is 4x-y+3=0.
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Which expression equals 24? Group of answer choices (2 + 4)(3) (4 x 2)(3) (4 - 2) + 3 (4 + 3) - 2
The expression which equals 24 is (4 + 2) (3) . Option B
How to determine the expressionGiven the following expression
Let's evaluate each of them. we have
(2 + 4)(3) = 6× 3 = 18
(4 x 2)(3) = 8 × 3 = 24
(4 - 2) + 3 (4 + 3) - 2 = 2 + 3(7) -2 = 2 + 21 - 2 = 23 -2 = 21
Thus, the expression which equals 24 is (4 + 2) (3) . Option B
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. Describe the transformation of the function, y = x + 4, from y = x.
There are two interpretations we could go for:
Adding 4 to the end means we add 4 to each y coordinate (since y = x). This shifts the entire line 4 units upReplacing x with x+4 means the xy axis is shifted 4 units to the right. If the line y = x is held completely still while the axis moves, then it gives the illusion the line is moving 4 units to the leftCheck out the diagram below.
Point A on the red line y = x has two locations it could end up. If we follow method 1, then point A shifts upward to point B. Do this to every point on the red line and the entire red line shifts up 4 units.
Or if you decide to shift 4 units to the left (method 2), then point A moves to point C's location. Doing this to every point on the red line shifts the entire line 4 units to the left.
please help asap, thanks so much
The system of inequalities that represent the graph is
y ≤ -x +4
y < 3x-1
The correct option is the third option
Graph of InequalitiesFrom the question, we are to determine the system of inequalities that represents the graph
The equation of the solid line is y = -x +4
Since the lower part of the graph was shaded
Then,
The inequality that represents the solid line is
y ≤ -x +4
The equation of the dotted line is y = 3x -1
Since the lower part of the graph was shaded,
Then,
The inequality that represents the solid line is
y < 3x-1
Hence, the system of inequalities that represent the graph is
y ≤ -x +4
y < 3x-1
The correct option is the third option
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help i dont know how to do this
By evaluating in x = π/3, we conclude that the correct option is C.
Which is the graphed function?
By looking at the graph, we can see that the function becomes zero when:
x = π/3
Now, this is really trivial.
Just evaluate the four options in x = π/3, and see which ones become equal to zero, and discard the others.
By doing that, you will see that the only option that becomes zero when evaluated in x = π/3 is option C.
[tex]y = 3*sin(2(x - \frac{\pi}{3} ))[/tex]
Then we conclude that it is the only option that can be the correct one.
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Dante wrote several equations and determined that only one of the equations has infinitely many solutions. which of these equations has infinitely many solutions? 6 (x 3) x = 7 x 2 1 6 (x 3) x = 7 x 5 6 (x 3) x = 6 x 3 15 6 (x 3) x = 7 x 9 9
Among all the given equations 6(x+3)+x=7x+9+9 is having many solutions.
Given Equations :
6(x+3)+x=7x+2+1
6(x+3)+3=7x+5
6(x+3)+x=6x+3+15
6(x+3)+x=7x+9+9
We have to find the equation having many solutions.
The equation whose both sides are equal to each other is supposed to have many solutions. For determining all equations needs to be solved.
Equation 1
6(x+3)+x=7x+2+1
6x+18=7x+3
No the above equation is not having many solutions.
Equation 2
6(x+3)+3=7x+5
6x+18+3=7x+5
6x+21=7x+5
No the above equation is not having many solutions.
Equation 3
6(x+3)+x=6x+3+15
6x+18+x=6x+18
7x+18=6x+18
No the above equation is not having many solutions.
Equation 4
6(x+3)+x=7x+9+9
6x+18+x=7x+18
7x+18=7x+18
Yes the above equation is having many solutions.
Hence the equation which is having many solutions is 6(x+3)+x=7x+9+9.
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The options given in the question are wrong and the correct options are as under:
1) 6(x+3)+x=7x+2+1
2)6(x+3)+x=7x+5
3)6(x+3)+x=6x+3+15
4) 6(x+3)+x=7x+9+9
Geometry
What the perimeter and area of the shape?
(a) The arc length of each of the two smaller semicircles is [tex]4\pi[/tex], and the arc length of each of the two larger semicircles is [tex]15\pi[/tex]. Therefore, the perimeter is [tex]2(4\pi)+2(15\pi)=38\pi[/tex].
(b) The area of each of the smaller semicircles is [tex]\frac{1}{2}(\pi)(4^2)=8\pi[/tex], and the areaof each of the larger semicircles is [tex]\frac{1}{2}(\pi)(15^2)}=\frac{225\pi}{2}[/tex].
So, the combined areas of the four semicircles is [tex]241\pi[/tex].
The area of the rectangle is 60, so the total area is [tex]241\pi+60[/tex].
( a^2x^3 -5x+3a).(-2a^3x)
The product (a^2x^3 -5x+3a).(-2a^3x) is -2a^5x^4 + 10a^3x^2 - 6a^4x
How to evaluate the expression?The expression is given as:
(a^2x^3 -5x+3a).(-2a^3x)
Open the bracket
-2a^3x * a^2x^3 -2a^3x * - 5x -2a^3x * 3a
Evaluate the products
-2a^5x^4 + 10a^3x^2 - 6a^4x
Hence, the product (a^2x^3 -5x+3a).(-2a^3x) is -2a^5x^4 + 10a^3x^2 - 6a^4x
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Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.
ANSWER:
CORRECT (SELECTED)
A number of books and their cost where the subscription with the annual fee costs less.
EXPLANATION: Point Q is on line aaa, so it represents a number of books and their cost with the subscription with the annual fee. Also, point Q is below line b, so it represents the same number of books but a lower cost than the subscription that charges per book.
Option 1 is correct. The point T is the number of books and their cost where the subscription with the annual fee costs less.
How to find the point T.At y1 = 96
y2 = 30
The service charge is said to be 3 dollar
We have that y1 is less than y2. This is because 30 is less than 92.
From this we have to conclude that it is the first option. This is because 3 dollars would be charged or less than that.
Complete questionAaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed dollar annual fee and the other which charges dollars per book he borrows. Here's a graph that shows a system of equations for this scenario where is the number of books Aaden borrows and y is the total cost of the subscription. ks) What does point T represent in this ? Choose 1 answer:
A number of books and their cost where the subscription with the annual fee costs less
A number of books and their cost where the subscription that charges per book costs less of
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