Answers
The probability that the selected pupil studied both Russian and Spanish is 0.24%.
Define the term probability?A probability is just a tabular value of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging form 0% to 100% can be used to describe probabilities.For the stated question-
The probability number of Russian speakers P(R) = 0.50.The probability number of Spanish speakers P(S) = 0.31.Let the probability number of Russian and Spanish speakers P(R∩S).Then , the probability number of not Russian and Spanish speakers P(R'∩S') = 0.23.Total number of speakers P(E): 0.80.Thus,
P(E) = P(R) + P(S) - P(R∩S) + P(R'∩S')
0.80 = 0.50 + 0.31 - P(R∩S) + 0.23
P(R∩S) = 0.24
Thus, the probability that the selected pupil studied both Russian and Spanish is 0.24%.
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Related Questions
1. Hay Story Problems Challenge Question Elliot delivered 630 newspapers in May. He delivered 35 more newspapers in June than May. Which equation can be used to find n, the number of newspapers Elliot delivered during these two months? A 630 + 35 x 2 = n B 630 + 35 = n C 630 + 630 - 35 = n D 630 + 630 + 35 = n Explain to your partner why your answer is correct.
Answers
Using elimination method, we get the result 630 + 630 + 35 = n
What is elimination method?
The elimination method involves removing one of the variables from a system of linear equations by adding or subtracting from the system and multiplying or dividing the variable coefficients.
You need an equation that can determine n, 630's total, and 35 more than 630.
More
The value "35 more in June than in May" refers to the value "35 more than 630." That value is represented by the sum (630 +35).
Total two months
In total, there will be two months' worth of delivered papers.
May deliveries + June deliveries = n
630 + (630 +35) = n
Eliminating parentheses, this expression is ...
630 + 630 + 35 = n
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If someone helps, contact me, and I'll give you 80 points or more if you would like.
Determine which statement is true from the information given. diet sodas = 3 regular sodas = 7
For every 3 regular sodas sold there are 7 diet sodas sold
The ratio of diet sodas to regular sodas sold is 7 : 3
The ratio of regular sodas to diet sodas sold is 7 : 3
For every 7 diet sodas sold there are 3 regular sodas sold
Answers
Answer:
Step-by-step explanation:
d = 3, r = 7
3r = 7d 3(7) = 7(3) 21 = 21 true
d/r = 7/3 3/7 ≠ 7/3 false
r/d = 7/3 7/3 = 7/3 true
7d = 3r 7(3) = 3(7) 21 = 21 true
3 of these statements are true, are you sure you got the question written down correctly?
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answers
Answer:
0.3
Step-by-step explanation:
in theory the chance to get heads is 0.5 however only two of the coin flips resulted in heads so the experimental probability is 0.2. the difference between these is 0.3.
Answer:
the correct answer is D because you have got 10flips with 2head the probability for it 2/10 or 0.02 and you know we don't always get the same result as always, and you wanna add some for the reason and you got 0.03 ( ◜‿◝ )♡
You determine the percent abundance of
each length of nail and record it in the data
table below.
Sample
Type
Short nail
Medium nail
Long nail
Number Abundance
of Nails
(%)
67
18
10
70.5
19.0
10.5
Nail Length
(cm)
2.5
5.0
7.5
What is the weighted average length, in cm,
of a nail from the carpenter's box?
Weighted Ave Length
Enter
Answers
The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.
What is weighted average ?
Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.
To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.
Let's start by calculating the product of each nail length and its percent abundance:
Short nail: (2.5 cm) x (70.5%) = 1.7625 cm
Medium nail: (5.0 cm) x (19%) = 0.95 cm
Long nail: (7.5 cm) x (10.5%) = 0.7875 cm
Now, we add up all the products:
1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm
Finally, we divide by the total percent abundance:
70.5% + 19.0% + 10.5% = 100%
Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm
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En una plaza Lucio camina en tramos rectos, a partir del asta bandera, en un punto cambia la dirección girando 150º a su izquierda, avanza 64 metros y se detiene. Para regresar al asta tiene que girar 75º a la izquierda, ¿A qué distancia se encuentra del punto inicial?
Answers
Lucio is 64 meters from the starting point.
How to solveThe square has four sides of equal length, so Lucio has walked half the length of one side.
To return to the starting point, he needs to walk the other half of the side, which is 64 meters.
The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.
With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.
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The question in English:
In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?
The sum of a rational number and an irrational number equals:
A terminating decimal
A rational number
A fraction number
An irrational number
Answers
rational + irrational = irrational
================================================
Proof:
The claim is that A+B = C where,
A = some rational numberB = some irrational numberC = some other irrational numberBecause A is rational, we can write it like A = p/q for some integers p,q. The value of q cannot be zero.
Let's for a moment consider the opposite scenario and let's assume that A+B was rational. We'll prove that a contradiction arises from this (hence this is a proof by contradiction).
If A+B = C was rational, then C = r/s for some integers r,s. The s cannot be zero.
From there we can have these steps to isolate B
A+B = C
B = C - A
B = (r/s) - (p/q)
B = (rq - ps)/(qs)
B = (some integer)/(some other nonzero integer)
B = some rational number
But this directly contradicts B set up as an irrational number.
So if A is rational and B is irrational, then A+B cannot possibly be rational due to the proof by contradiction above. The only other possibility is that A+B must be irrational.
The following are the annual incomes (in thousands of dollars) for 8 randomly chosen, U.S. adults employed full-time.
44, 44, 54, 54, 65, 39, 54, 44
Send data to calculator
(a) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate dircle, and then indicate the value(s) of the
mode(s), if applicable.
0
Zero modes
one mode:
Two modes:
Answers
Answer:
(a) To find the mean of the data set, sum up all the values and divide by the total number of values.
44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398
Mean = 398 / 8 = 49.75
Rounded to one decimal place, the mean of this data set is 49.8.
(b) To find the median of the data set, i need to arrange the values in ascending order first:
39, 44, 44, 44, 54, 54, 54, 65
The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:
(44 + 54) / 2 = 98 / 2 = 49
Rounded to one decimal place, the median of this data set is 49.0.
(c) To determine the modes of the data set, identify the values that appear most frequently.
In this case, the mode refers to the value(s) that occur(s) with the highest frequency.
From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.
Need Help!!!! A pre-image has coordinates J(3, -6) and K(-1, -2). The image has coordinates J'(6, 3) and K'(2, -1). Describe the clockwise rotational path of the line segment.
Answers
After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.
So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)
The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.
The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:
Midpoint of JK: (1, -4)
Midpoint of J'K': (4, 1)
The slope of the vector: 3/5
(x₁ + x₂)/2, (y₁ + y₂) /2
Point-slope formula: y - y₁ = m(x - x₁)
Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)
Applying simplification , we get: y = (- 3/5)x - 1.2
To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:
y - 1 = (7/3)( x - 4)
Apply simplification , we get: y = (7/3)x - 17/3
To evaluate the intersection point, we can solve the system of equations:
y =(- 3/5)x - 1.2 = (7/3)x - 17/3
Evaluating for x and y, we get x = -6 and y = -1.
Therefore, the center of rotation is (-6, -1).
√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)
Distance between image points and center of rotation
√( ( 6 - (-6))² + ( 3 - (-1))² = 13
The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).
The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':
Angle of vector: arctan(5/3) = 59.04 degrees
Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
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In the similarly transformations of ABC
Answers
Which of the following will have the same value as 350 × 10?
Answers
Answer: 3500x1 or 35x100
Step-by-step explanation:
350x10=3500
3500x1=3500
35x100=3500
Please help! In the figure below, what is the length of EG
Answers
Answer:
Step-by-step explanation:
The triangles are similar because they have two sides and the angle between them (EFG) respectively equals, and it’s evident the factor between the two triangles is 2. So EG=2CB=2*8=16
Answer:
the value of EG is 20.
Step-by-step explanation:
3×4 = 12, AB and EF is similar but the value of AB is multiplied by 4 to become 12 for EF.
similarly, 4×4 = 16, BC and FG is similar but the value of BC is multiplied by 4 to become 16 for FG..
In this way, AC and EG are also similar so 5×4 = 20.
All the values are multiplied by 4 ...
Plot the points (2,0) and (2,-5) on the coordinate plane below.
What is the distance between these two points?
Answers
Answer:
5 units
Step-by-step explanation:
Notice that the x-coordinate is the same for both points, but that the y-coordinates differ by five units. The distance between these two points is therefore 5 units.
The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answers
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
Elena receives $95 per year in simple interest from three investments totaling $2100 . Part is invested at 3%, part at 4%, and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $
the amount invested at 4% is $
and the amount invested at 5% is $
Answers
The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.
Let's assume the amount invested at 4% is x dollars.
According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.
So, the amount invested at 5% is (x + $1000).
The total amount invested is the sum of the amounts invested at each rate, which is $2100.
Therefore, we can write the equation:
x + (x + $1000) + (amount invested at 3%) = $2100
Now, we can calculate the amount invested at 3%.
We subtract the sum of the amounts invested at 4% and 5% from the total investment:
(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)
Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:
Simple Interest = Principal × Interest Rate
The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.
According to the problem, the total interest earned is $95.
So we can write the equation:
(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95
Now we can substitute the expression for (amount invested at 3%) and solve for x.
Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.
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Solve the formula V = 1/3b^2 h for b.
Answers
Answer:
\(b=\sqrt{\frac{3V}{h}}\)
Step-by-step explanation:
To solve a formula for one of its variables do that
Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equals 1Let us use these steps to solve our question
∵ V = \(\frac{1}{3}\) b²h
→ Underline b
∴ V = \(\frac{1}{3}\) b²h
→ Multiply both sides by 3 to cancel the denominator on the right side
∴ 3V = b²h
→ Divide both sides by h to move it to the other side
∴ \(\frac{3V}{h}=b^{2}\)
→ To find b take √ for both sides
∴ \(\sqrt{\frac{3V}{h}}=\sqrt{b^{2} }\)
→ The square root will cancel the power 2 of b
∴ \(\sqrt{\frac{3V}{h}}=b\)
→ Switch the two sides
∴ \(b=\sqrt{\frac{3V}{h}}\)
Sweatshirts at the discount store are on sale for 30% off the original price. If a sweatshirt
costs $30:
A) What is the discount?
B) What is the new price of the sweatshirt?
(Show your work)
Answers
B.) the new price is $21
Work:
30% is turned to .30
so, $30 x .30 is $9.
that’s how much is taken off.
From a random sample of 185 children from school G, 108 indicated they wanted to study science in college. From a different random sample of 165 children from school H, 92 indicated they wanted to study science in college. Assuming all conditions for inference are met, which of the following is closest to the standard error for a confidence interval for the difference in population proportions between the two schools of children who want to study science in college?A. 1.96 underroot(200/350)(1 − 200/350)/350.B. Underroot(108/185)(1 − 108/185)185 − (92/165)(1−92/165)/165.C. Underroot(108/185)(1 − 108/185)185 + (92/165)(1−92/165)165.D 1.96 underroot(108/185)(1 − 108/185)185 + (92/165)(1 − 92/165)165.E. Underroot(200/300)(1 - 200/300)/350.
Answers
Answer:
C. Underroot(108/185)(1 − 108/185)185 + (92/165)(1−92/165)165.
Step-by-step explanation:
Sample size, n1 = 185
x1, = 108
P1 = x1 / n1 = 108 / 185 =
Sample size, n2 = 165
x2, = 92
P2 = x2 / n2 = 92/165
Standard Error = sqrt[(p1(1-p1))/n1 + (p2(1-p2))/n2]
sqrt[(108/185(1 - 108/185)) /185 + (92/165(1 - 92/165)) / 165]
Tony was on the bumper cars at the amusement park. He turned his steering wheel 25 degrees to bump his friend. How many one-degree turns is this?
100 one-degree turns
50 one-degree turns
2.5 one-degree turns
25 one-degree turns
Answers
Answer:
25 one degree turns
Step-by-step explanation:
if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25
Answer:
25
Step-by-step explanation:
I’m trying to show my grand daughter how to get to the correct answer. Can you show me how you got the answer to 40.99*2.1=
Answers
hmmm when it comes to doing operations with decimals, we can hmmm say for this case, the product, we can just toss the dot and perform the multiplication straight up with only 4099 * 21, and then we'll include the decimal point.
\(40.\underline{99}\times 2.\underline{1} \\\\[-0.35em] ~\dotfill\\\\ 4099\times 21\implies \begin{array}{rllll} 4099\\ \times 21\\\cline{1-1} 4099\\ +8198~~\\ \dotfill\\ 86079 \end{array}\hspace{5em}86\underline{079}\implies 86.079\)
now, let's notice, our product was really 86079, then we go back, 40.99 has two decimals, and 2.1 has one decimal, so we have a total from both of three decimals, so our product must have also three decimals, so we move the dot from the right to the left by 3 slots.
find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Answers
Answer:
Thus, the original price of the pair of shoes was $100.
Step-by-step explanation:
Percentages
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
can someone help me with this please i woud appreciate it.
Rational zero Theorem
Consider the function f(x)=2x^3-8x^2+5x+3
List all the possible rational zeros of f based on the Rational zero Theorem
Answers
The possible rational zeros of f are:
±1/1, ±3/1, ±1/2, ±3/2
What is the Rational Zero Theorem?
The Rational Zero Theorem states that if a polynomial function f(x) has integer coefficients, then every rational zero of f has the form p/q, where p is a factor of the constant term of f and q is a factor of the leading coefficient of f.
In the case of the function f(x) = 2x³ - 8x² + 5x + 3, the constant term is 3 and the leading coefficient is 2. Therefore, the possible rational zeros of f are of the form:
p/q, where p is a factor of 3 and q is a factor of 2.
The factors of 3 are 1 and 3, and the factors of 2 are 1 and 2. Therefore, the possible rational zeros of f are:
±1/1, ±3/1, ±1/2, ±3/2
These are the possible rational zeros of f(x) based on the Rational Zero Theorem. However, not all of them may be actual zeros of f(x).
To determine which of these possible zeros are actual zeros of f(x), we can use synthetic division or other methods to test each possible zero.
Therefore, the possible rational zeros of f are
±1/1, ±3/1, ±1/2, ±3/2
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what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
Answers
I’ll give you all the points I can give if you help me no links pls pls
Answers
Answer:
We cant see the writing it is too small
Step-by-step explanation:
How do you write 89,700,000,000 in scientific notation? ___× 10^____
Answers
Answer:
It's written as
\(89.7 \times {10}^{9} \)
Or
\(8.97 \times {10}^{10} \)
Hope this helps you
Answer:
8.97 * 10 ^10
Step-by-step explanation:
We want one nonzero digit to the left of the decimal
8.97
We moved the decimal 10 places to the left
The exponent is positive 10 since we moved 10 places to the left
8.97 * 10 ^10
What is the value is equivalent to 5 + 4 × 2?
Answers
\(5 + 4 \times 2 \\ 5 + 8 \\ = 13\)
We solved it using the rule:
BODMAS
B is for Brackets O is for OrderD is for DivisionM is for MultiplicationA is for AdditionS is for SubtractionAnswer:
\(\displaystyle 13\)
Step-by-step explanation:
\(\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 5 + 4 \times 2 \hookrightarrow \\ \\ \boxed{13} = 5 + 8\)
By using GEMS, the result is thirteen.
I am joyous to assist you at any time.
i need my ansnwer checked for question ONE. i have 36%
Answers
Proportion of football players who also play lacrosse:
Number of player who play both football and lacrosse divided by the number of football players.
According to the chart:
There are 16 + 28 = 44 football players.
16 are on the lacrosse team.
16/44 = 0.3636
Percentage:
Proportion multiplied by 100.
0.3636*100 = 36.36%
Your answer is correct :)
Five forces are acting on a point P. They are 60N at 90 degrees, 40N at 0 degrees, 80N at 270 degrees, 40N at 180 degrees, and 50 N at 60 degrees. What is the magnitude and direction of the vector that would produce equilibrium at point P?
Answers
Sorry I don't know answer
Determine the location of the vertex and determine the nature of the vertex for the graphs of: y = x^3 - 6x^2 -15x + 7
Answers
Answer:
(5, -93) local minima, (-1, 15) local maxima
Step-by-step explanation:
differentiate this equation, we get
y' = 3x^2 - 12 x -15
the x-axis of the vertices are:
3x^2 - 12x - 15 = 0
(x-5)(3x+3) = 0
x1 = 5 and x2=-1
so the positions of the vertices are (5, -93) and (-1 , 15)
(5, -93) is the local minima, and (-1, 15) is the local maxima
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
Answers
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
How to do this question
Answers
Answer:
the answer is -1/9 or -5
Step-by-step explanation:
first we setup the equation
9a^2+46a=-5
then we plus 5 on both sides
9a^2+5+46a=0
then we can factor
(9a+1)(x+5)=0
then we set 9a+1=0
and find that a_1=a=-1/9
which is the first answer.
the second answer is solved from x+5=0
which shows x=-5