The 30% of the students withdraw, then, the expected number of withdrawals is the 30% of 20 which is 6.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
Compute the probability that 2 or fewer will withdraw,To determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:Then, multiply this quantity by, = 190Which is the number of ways to choose 2 students from the total of 20. Therefore:The probability that exactly 2 students withdraw is Following an process determine that: The probability that exactly 1 student withdraw is The probability that exactly none students withdraw is Finally, the probability that 2 or fewer students will withdraw is,= 0.355Compute the expected number of withdrawals.Hence ,The 30% of the students withdraw, then, the expected number of withdrawals is the 30% of 20 which is 6.hence,The 30% of the students withdraw, then, the expected number of withdrawals is the 30% of 20 which is 6.
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write equations for the vertical and horizontal lines passing through the point (-3,-8).
Answer:
Horizontal: y=-8
Vertical: x=-3
Step-by-step explanation:
Answer:
x = - 3 and y = - 8
Step-by-step explanation:
the equation of a vertical line parallel to the y- axis is
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (- 3, - 8 ) with x- coordinate - 3 , then
x = - 3 ← equation of vertical line
the equation of a horizontal line parallel to the x- axis is
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (- 3, - 8 ) with y- coordinate - 8 , then
y = - 8 ← equation of horizontal line
Kareem is going to Florida. The cost for two different vacation packages is shown below. Florida Vacation Packages Expenses Roundtrip Airfare Cost Hotel Cost (per night) Let h Hotel Cost Let C = Cost of package Package A $150 $55 Package B $210 $40 8. Write a system of two equations that could be used to find out the price of package A and package B. 9. How many nights would Kareem need to stay in a hotel to pay the same amount for either vacation package? Show your work.
8) A system of two equations that could be used to find out the price of package A and package B are;
C = 150 + 55h
C = 210 + 40h
9) The number of nights Kareem would need to stay in a hotel to pay the same amount for either vacation package is; 4 nights
How to solve simultaneous equation word problems?We are told that Kareem is going to Florida and the cost for two different vacation packages is;
Package A
Roundtrip Airfare Cost = $150
Hotel Cost (per night) = $55
Package B;
Roundtrip Airfare Cost = $210
Hotel Cost (per night) = $40
A) Now, if h represents Hotel Cost and C represents Cost of package, then we have;
For package A;
C = 150 + 55h ------(1)
For package B;
C = 210 + 40h ------(2)
9) The number of nights Kareem would need to stay in a hotel to pay the same amount for either vacation package is;
150 + 55h = 210 + 40h
210 - 150 = 55h - 40h
60 = 15h
h = 60/15
h = 4
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On average, Logan drinks 2/3 of a 6-ounce glass of water in 1 4/5 hours. How much water does he drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!
On average, Logan drinks (2)/(3) of a 6-ounce glass of water in 1(4)/(5) hours. How much water does he drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
The following response has been constructed in a straightforward, step-by-step approach.
Measure: 1 ounce
2/3×6 =4 glass
Considering that a person consumes four glasses every hour.
he Drinks x glasses after one hour.
Reason: Since 21/5x=4,
21x=5×4
Glass 21x=20x=20/21
Answer: So, consume 20/21 glasses in an hour.
The response is a correct fraction.
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Image has details below with FACTORING
Answer:
12
Step-by-step explanation:
1) Substitute x into the equation
To substitute you would need to multiply the number before it by 2 (in other questions it would be the value told that is x)
-3 x 2 = -62.5 x 2 = 58 x 2 = 162) Put the numbers you have worked out into the equation
-6 + 1.5 + 5 - 4.5 + 16
3) Work out the final equation
-6 + 1.5 = -4.5-4.5 + 5 = 0.50.5 - 4.5 = -4-4 + 16 = 12Hope this helps, have a great day!
Consider the following:
If I bake a cake, then I won't buy cookies.
If I don't buy cookies, then I don't need milk.
Based on the statements above, what is a valid conclusion?
OA. If I don't bake a cake, then I need milk.
OB. If I buy cookies, then I bake a cake.
O c. If I don't need milk, then I didn't buy cookies.
OD. If I bake a cake, then I don't need milk.
From the given statements the valid statement is, If I buy cookies, then I bake a cake.
What is valid statement?
Valid: An argument is only considered to be valid if all of the premises must be true in order for the conclusion to be true. It is also impossible for all of the premises to be true while the conclusion is false.
Consider, the given statements
If I bake a cake, then I won't buy cookies.
If I don't buy cookies, then I don't need milk.
Since an argument is valid if and only if it is necessary that if all of the premises are true, then the conclusion is true.
Here, the premises are true, so the valid argument is, If I buy cookies, then I bake a cake.
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Describe the x-values for which (a) f is increasing or decreasing, (b) f(x) > 0 and (c) f(x) < 0
(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].
(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point (x = 2)
(c) The function f(x) is less than 0 when [x < (-1)]
In the reference attachment attached along with the question statement, we are provided with a graph of a certain function "f",
And as per the question statement, we are required to determine the x-values for the following:
(a) for which "f" is increasing or decreasing,
(b) [f(x) > 0]
(c) [f(x) < 0]
From the graph, it is very clear that, the slope is rising from [(-∞) < x ≤ 0] and [2 < x < ∞], while, declining from [0 < x ≤ 2] of the x-axis. Therefore,
(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].
(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point (x = 2)
(c) The function f(x) is less than 0 when [x < (-1)]
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You are given AMNP-AQRT.
Which expression is equal to sinR?
A SinM
B.sinQ
C.sin(90-M)
D.sin(90-N)
HIGHSCHOOL GEOMETRY HELP NEEDED ASAP EZ POINTS!
Answer:
x -2x and the y is -2y
Step-by-step explanation:
Find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
- 7/6 , (3, -1)
The equation of the straight line having gradient -7/6 with the point on the line as (3,-1) is y [tex]=[/tex] (-7/6)x [tex]+[/tex] 5/2 .
In the question ,
it is given that
the gradient (slope) of the required line is -7/6 ,
and the coordinate of point on the line is (3 , -1) .
We know that the equation of the line passing through the points (x₁ , y₁) with gradient(m) is given by the formula
(y - y₁) = m(x - x₁)
So , the equation of the straight line will be written as
(y -(-1)) = (-7/6)(x - 3)
y + 1 = (-7/6)(x - 3)
y + 1 = (-7/6)x + 7/2
y = (-7/6)x + 7/2 -1
y = (-7/6)x + 7/2 - 2/2
y = (-7/6)x + 5/2
Therefore , the equation of the straight line is y [tex]=[/tex] (-7/6)x + 5/2 .
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What is the measure of an angle if the measure of its supplement is 39 more than twice the measure of its complement?.
The measure of the angle is 39°.
Complementary angles are angles whose sum is equivalent to 90°. On the other hand, supplementary angles are angles whose sum is equivalent to 180°.
Let x be the measure of the angle.
90° - x = complement angle of x
180° - x = supplement angle of x
If the measure of its supplement is 39 more than twice the measure of its complement, then
180° - x = 39 + 2(90° - x)
Simplify and solve for x.
180° - x = 39 + 2(90° - x)
180° - x = 39 + 180° - 2x
x = 39°
Hence, the measure of the angle is 39°.
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A line has a slope of 3/8 and includes the points (–6,d) and (10,10). What is the value of d?
Answer:
d = 4
Step-by-step explanation:
Because the slope formula is:
y2-y1 / x2-x1 = m
10-d / 10+6 = 3/8
Cross multiply 10+6 and 3/8
10-d = 16(3/8)
10-d = 6
10-6=d
4=d
The collection of all input values is the ? of the function. The collection of all output values is the ? of the function.
By definition, we can complete the two sentences as follows:
The collection of all input values is the domain of the function. The collection of all output values is the range of the function.How to complete the statements?A general function can be written as:
y = f(x).
This function "f" takes inputs "x" and transforms them into the outputs "y".
And by definition, the set of all the inputs x is called the domain of the function, while the set of all outputs is called the range of the function.
So the two complete sentences are:
The collection of all input values is the domain of the function.
The collection of all output values is the range of the function.
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2x²-14x+1=0
how do i solve?
Answer:
x = 6.928 [tex]x = 0.072[/tex]
Step-by-step explanation:
Use the quadratic formula
[tex]\frac{-b(+-)\sqrt{b^{2 } -4ac} }{2a}[/tex]
[tex]a = 2\\b = -14\\c = 1[/tex]
[tex]\frac{-(-14)(+-)\sqrt{(-14)^{2 } -4(2)(1)} }{2(2)}[/tex]
[tex]\frac{-(-14)(+-)\sqrt{196 -8} }{4}[/tex]
[tex]\frac{14+\sqrt{188} }{4}[/tex] [tex]\frac{14-\sqrt{188} }{4}[/tex]
[tex]x = 6.928[/tex] [tex]x = 0.072[/tex]
a math test is worth 100 points and has 30 problems. each problem is worth either 3 or 4 points. how many 4-point problems are there?
If a math test is worth 100 points and has 30 problems and each problem is worth either 3 or 4 points, then there are 10 4 point problems
Total number of questions = 30
Number of 3 point questions = x
Number of 4 point questions = y
The first equation will be
x + y = 30
x = 30-y
Total score of the test = 100 points
Then the second equation will be
3x + 4y = 100
Here we have to use the substitution method, substitute the value of x in the equation
3(30-y) + 4y = 100
90 - 3y +4y = 100
y = 100 - 90
y = 10
Hence, if a math test is worth 100 points and has 30 problems and each problem is worth either 3 or 4 points, then there are 10 4 point problems
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What is 33 1/3% of $2,940
Answer:
$980
Step-by-step explanation:
33 1/3% x
------------ = ------------- Cross multiply
100% $2,940
33 1/3 x 2,940 = 100x Multiply
98000 = 100x Divide 100 to both sides
980 = x
If p and q vary inversely and p is 19 when q is 30, determine q when p is equal to 95.
6 is the answer.
Explanation- You have to plug in, multiply, and divide using p1q1=p2q2 formula
0.3(4 − x) = x − 1.4?
Answer:
x is equal to 2
Step-by-step explanation:
simplify the equation
distribute the 0.3
0.3*4-0.3x=x-1.4
1.2-0.3x=x-1.4
get x by itself on one side
1.2+1.4=x+0.3x
simplify
2.6=1.3x
2=x
In order to solve for the variable in the equation 2 (4 x 3) 4 = 3 x minus (2 x 4), giovanni first applies the distributive property. which equation is a result of this step? 8 x 3 4 = 3 x minus 2 x 4 8 x 6 4 = 3 x minus 2 x minus 4 6 x 5 4 = 3 x minus x 3 6 x 3 4 = 3 x minus x 4
In order to solve for the variable in the equation 2 (4 x 3) 4 = 3 x minus (2 x 4), giovanni first applies the distributive property.
The equation is a result is 8x+6+4 = 3x-2x-4.
Given that the distributive property is to multiplying by the numbers outside of the parentheses into the inside of the parentheses
So we now that,
2×4x=8x
2×3=6
8x+6+4
Then do the same thing on the other side also so that Which we gets is equal to the below
3x-2x-4
so the equation we get is
8x+6+4 = 3x-2x-4
Hence the answer is, we get the equation is a result is 8x+6+4 = 3x-2x-4
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Write the equation of the line through (-4,9) and (-4,5)
Answer:
x=-4
Step-by-step explanation:
y=mx+b is slope intercept form where m is slope and b is y intercept
To find slope we use y2-y1/x2-x1
5-9/-4-(-4)
-4/0
The slope is undefined
But we can write this as x=-4 since it is a vertical line going straight up
Hopes this helps please mark brainliest
Help I want to convert decimal radian to fractional pi format radian
Eg: how to convert 0.785 rad to pi format
The conversion is 0.785 radian = 141.3 degree.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
A conversion factor is a value or a number that is used to multiply or divide one set of units into another.
Given:
We have to convert 0.785 rad to pi format.
As, we know Radians = Degrees × π/180'
and, 0.785 rad = 0.785 x 180
= 141.3 Degree
Hence, the conversion is 0.785 radian = 141.3 degree.
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a. To find 40% of 75, Priya calculates. Does her calculation give the correct
value for 40% of 75? Explain or show how you know.
b. If represents a number, does always represent 40% of that number?
Explain your reasoning.
40 percentage of 75 is 30 and 2/5 of 75 is 30. So, Priya calculated in a correct way.
Given,
To find 40% of 75, Priya calculates 2/5 of 75
We have to find the value of 40% of 75.
Percentage;
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The sign "%" is used to denote it.
Now,
Lets find;
40% of 75
40/100 × 75 = 40/4 × 3 = 10 × 3 = 30
That is,
40% of 75 is 30.
Now,
2/5 of 75
2/5 × 75 = 2 × 15 = 30
That is,
2/5 of 75 is also 30
Therefore,
40 percentage of 75 is 30 and 2/5 of 75 is 30. So, Priya calculated in a correct way
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MATH PLEASE HELP!! THANK YOU!
Answer:
Below
Step-by-step explanation:
m = slope
Use two points on the graph to find m
m = ( x1-x2)/(y1-y2) = ( 1- -1) / ( -4 - -2) = 2 / -2 = -1
Perpindicular slope is - 1/m = -1 / (-1) = 1
slope for 15, -6 and -4,11
The slope of the points (15,-6) and (-4,11) is 0.895.
What is slope?The slope of a line is the ratio of the amount that y increases as x increases some amount.
To calculate the slope of the two points given, we use the formula below.
Formula:
S = (y₂-y₁)/(x₂-x₁).............. Equation 1Where:
S = Slope of the two points.From the question,
Given:
y₂ = 11y₁ = -6x₂ = 15x₁ = -4Substitute these values into equation 1
S = [11-(6)]/[15-(-4)]S = 17/19S = 0.895Hence, the slope of the points is 0.895.
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A parabola can be drawn given a focus of ( 0 , − 2 ) and a directrix of x = − 6 . What can be said about the parabola?
The parabola has a vertex at (-3, -2), has a p-value of 3 and it opens up.
How to determine the vertex form of a parabola?Mathematically, the vertex form of a parabola is represented by this mathematical expression:
y = a(x - h)² + k
Where:
h and k represents the vertex of the equation.
In Mathematics, the focus for either a right or left parabola is modeled by this mathematical expression (h + p, k) while its directrix is modeled by this mathematical expression x = h - p;
h + p = 0 ⇒ h = -p
h - p = -6
Solving the set of linear equations simultaneously, we have:
-p - p = -6
-2p = -6
p = 6/2
p = 3
For the value of h, we have:
h = -3.
Additionally, the vertex form of this parabola is given by:
y = a(x - h)² + k
y = a(x - 3)² - 2
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Complete Question:
A parabola can be drawn given a focus of (0, −2) and a directrix of x = −6. What can be said about the parabola?
The parabola has a vertex at ( , ), has a p-value of
and it
-opens up
-opens down
-opens right
-opens left
1/2 lb of shrimp is 11.49 how much for 4lb
(If one and a half pound of shrimp is 11:49 how much is for 4 pounds)
Answer:
$91.92
Step-by-step explanation:
1/2 lb of shrimp is 11.49 how much for 4lb?
1/2 pounds = 0.5 pounds
4lb/0.5lb = 8
11.49 * 8 = $91.92
Triangle ABC is congruent to triangle DEF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.
Segment BC is congruent to segment EF,
Angle BAC is congruent to angle EDF,
Angle CBA is congruent to angle DEF.
Given:
Triangle ABC is congruent to triangle DEF.
if two triangles are congruent:
congruent sides are:
AB ↔ DE ,BC↔EF, CA ↔ FD
congruent angles are:
<A ↔ <D , <B ↔ <E, <C ↔ <F.
Therefore Segment BC is congruent to segment EF, Angle BAC is congruent to angle EDF, Angle CBA is congruent to angle DEF are correct.
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A, B, C and D lie on a circle a centre O. AB=7cm BC=10cm and angle ABD=77%.
AOC is a diameter of the circle
Answer:
4
Step-by-step explanation:
1
an open-top box is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each corner and bending up the sides. what is the largest volume that the box can have?
The largest volume that the box can have is 02.
equation for volume :
v = x (3- 2x)²
Differentiating using chain rule and product line:
v' = 1(3 - 2x)² + 2x (3 -2x) (-2)
= 9 - 12x + 4x² -12x +8x²
= 9 - 24x +12x²
Finding the critical value where v' = 0
v' = 0
⇒12x² - 24x +9 =0
⇒3 ( 4x² -8x +3)=0
⇒ 4x² -8x+3 =0
(2x- 3) (2x-1) =0
or, x=3/2 or 1/2
putting the value x= 1/2, we get,
V = 2
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a. obtain the equation of the estimated regression line and use it to calculate a point prediction of ammonium concentration for a future observation made when ammonium concentration is 25ml/h.
The equation of the regression line is [tex]\bar{y}[/tex]=9.1006+(-0.2157)x and the point prediction of ammonium concentration for 25ml/h is [tex]\bar{y}[/tex]=3.7081
What is meant by regression line?A regression line is an approximation of the line that describes the true, but unknown, linear connection between two variables. The regression line equation is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.
In statistical modeling, regression analysis is a collection of statistical techniques for estimating the associations between a dependent variable and one or more independent variables.
a) [tex]\bar{y}[/tex]=β₀+β₁x
Where,
β₁=[tex]S_{xy}[/tex]/[tex]S_{xx}[/tex] -------(1)
Where,
[tex]S_{xy}[/tex]= -341.959231
[tex]S_{xx}[/tex]1585.230769
By substituting these values in equation 1 we get,
β₁= -0.2157
β₀= [tex]\bar{y}[/tex]-β₁x
Where,
[tex]\bar{y}[/tex]=∑[tex]y_{i}[/tex]/n
∑[tex]y_{i}[/tex]=52.8
n=13
Then,
[tex]\bar{y}[/tex]=4.0615
[tex]\bar{x}[/tex]=∑[tex]x_{i}[/tex]/n
∑[tex]x_{i}[/tex]=303.7
n=13
[tex]\bar{x}[/tex]=23.3615
β₀=4.0615-(-0.2157)(23.3615)
=9.1006
Therefore, β₀=9.1006
The regression equation is [tex]\bar{y}[/tex]=9.1006+(-0.2157)x
If x=25,
[tex]\bar{y}[/tex]=9.1006+(-0.2157)(25)
[tex]\bar{y}[/tex]=3.7081
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If m^n=32, where m
and n are positive integers, find n^mn
The value of [tex]n ^ {mn}[/tex] = [tex]5^{10}[/tex] or 9765625.
An index is a number that is raised to power. It is written as a small number to the right and above the base number. Other names for the index are exponent or power.
The index of a number says how many times to use the number in multiplication.
[tex]m^n[/tex]=32
m and n are positive integers.
32 = 2 x 2 x 2 x 2 x 2
32 = [tex]2^5[/tex]
hence, m = 2 and n = 5.
Now, Let's find the value of [tex](n ^ m)^n[/tex].
[tex](n ^ m)^n = n^{m*n}[/tex]
= [tex]5^{2*5}[/tex]
= [tex]5^{10}[/tex] or
= 9765625
Hence, the value of [tex]n ^ {mn}[/tex] = [tex]5^{10}[/tex] or 9765625.
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