The required expected number of women on the committee is 1/2 or 0.5.
The expected number of women on the committee can be found by calculating the probability that a woman is selected for the committee and then multiplying that probability by the number of people on the committee.
There are a total of 6 + 2 = 8 people in the club, and the committee has 2 people.
Given the committee is selected randomly, the probability that a particular person is selected for the committee is 2/8 = 1/4.
There are 2 women in the club, so the probability that a woman is selected for the committee is 2/8 = 1/4.
The expected number of women on the committee is the probability that a woman is selected for the committee multiplied by the number of people on the committee, which is (1/4) * 2 = 1/2.
Thus, the expected number of women on the committee is 1/2 or 0.5.
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Factor the expression using the GCF.18h+30k The factored from is
The given expression can be factorized to obtain 18h + 30k = 6(3h + 5k).
How to factorize an algebraic expression by GCF method?First find the greatest factor common to all the terms of the given expression. Then, take out that term as a common and the remaining terms are written inside a bracket.
The given expression is 18h + 30k.
The GCF of 18 h and 30 k is 6.
Now, the given expression can be factorized as follows,
18h + 30k
= 6 × 3h + 6 × 5k
= 6(3h + 5k)
Hence, the factored form of the given expression is 6(3h + 5k).
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Melissa created a scale drawing of a garden in which 2 inches equals 5 feet. The dimensions of the garden on the scale drawing are 15 inches by 10 inches. What are the dimensions of the actual garden in feet?
The dimensions of the actual garden in feet is 37.5 feet x 25 feet
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
2 inches = 5 feet.
The dimensions of the garden on the scale drawing.
= 15 inches x 10 inches
Now,
2 inches = 5 feet
15 inches = 15/2 x 5 feet
15 inches = 37.5 feet
10 inches = 10/2 x 5 feet
10 inches = 25 feet
Thus,
37.5 feet x 25 feet are the dimensions of the actual garden in feet.
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Factor the terms below.
1. 46xyz^5
Answer:
2. 19n^8 y^3
Answer:
3. 62d^3 f
Answer:
4. 36ab^4
Answer:
The factors of 46xy[tex]z^5[/tex] are 46, x, y, z, z, z, z, and z.
The factors of 19[tex]n^8y^3[/tex]are 19, n, n, n, n, n, n, n, n, y, y, and y.
The factors of 62d³f are 62, d, d, d, and f.
The factors of 36a[tex]b^4[/tex] are 36, a, b, b, b, and b.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
46xy[tex]z^5[/tex]
The factors are 46, x, y, z, z, z, z, and z.
19[tex]n^8y^3[/tex]
The factors are 19, n, n, n, n, n, n, n, n, y, y, and y.
62d³f
The factors are 62, d, d, d, and f.
36a[tex]b^4[/tex]
The factors are 36, a, b, b, b, and b.
Thus,
The factors are given above.
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I need help on this math problem.
The polynomial p(x) = 3x³ - 5x² - 4x + 4 can be written as a product of linear factor as (x + 1) (3x - 2) (x - 2).
What is a polynomial?A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.
Given:
p(x) = 3x³ - 5x² - 4x + 4
Factor = (x - 2)
Divide the equation by (x - 2) as shown below,
(3x³ - 5x² - 4x + 4) / (x - 2)
= (3x² + x - 2)
Factorize the above equation,
= 3x² - 2x + 3x - 2
= (x + 1) (3x - 2)
Therefore, the polynomial p(x) = 3x³ - 5x² - 4x + 4 can be written as a product of linear factor as (x + 1) (3x - 2) (x - 2).
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Patrick wants to hang up a poster that is 1 3/4 feet wide and 2 5/8 feet long. How much wall
space will the poster cover?
The poster will covers [tex]4\frac{19}{32}[/tex] square feet space of the wall.
What is a rectangle?
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
Given that the height of the poster is 2 5/8 feet.
The wide of the poster is 1 3/4 feet.
Now convert the numbers 1 3/4 feet, 2 5/8 feet mixed fraction to improper fraction:
2 5/8 feet = [(2×8) + 5]/8 = 21/8 feet
1 3/4 feet = [(1×4) + 3]/4 = 7/4 feet
The area of a rectangle space is the product of length and breadth of the rectangle shape.
The area of the poster is
(21/8) × (7/4)
Now multiply the denominators of both fractions and numerators of both fraction:
(21 × 7)/(8×4)
= 147/32
= [tex]4\frac{19}{32}[/tex] square feet
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The equation y = ax^2 describes a parabola. If the value of a is positive, which
way does the parabola open?
• A. Up
• B. Left
• C. Down
• D. Right
(HURRY HURRY HURRY!)
A function of x is given by f(x) = 2x – 3. Which of these describes the meaning of f(-1)?
A.
The output value for the function f when x = -1.
B.
The input value for the function f when 2 is added to -3.
C.
The input value for the function f when x = -1.
D.
The output value for the function f when 2 is added to -3.
Answer:
A. The output value for the function f when x = -1.
Step-by-step explanation:
x is input.
f(x) is output.
f(-1) is the output when x = -1.
Answer:
A. The output value for the function f when x = -1.
Liam walks 18 miles in 5 hours. At what unit rate does Liam walk?
О А.
B.
O C.
5 miles
18 hours
18 miles
5 hours
5 hours
18 miles
D. 18/5 miles
1 hour
Answer:
d.
Step-by-step explanation:
it says it in the question 18 miles 5 hours
its not asking you to work out exactly.
A truck driver is driving from Nome, Alaska, to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F.
Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form. (2 points)
Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points)
Part C: In January 1989, the temperature in Nome, Alaska, dropped to −49° F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not? (4 points)
(A) The required inequality is, -40°F < x < 140°F.
(C) The gas has freezing point of -40°F, that means below that temperature the gas will freeze.
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
(A) Let the liquid range is from -40°F to 140°F.
Let x be the range.
So, the required inequality is,
-40°F < x < 140°F
(B) The graph of inequality is attached below.
(C) Since the gas has freezing point of -40°F, that means below that temperature the gas will freeze.
(-49°F < 40°F)
Hence, the gas will freeze.
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A soccer team purchased a set of team balls for $184.64. If each ball cost $11.54, how many balls were purchased?
O 13 balls
O 14 balls
O 15 balls
O 16 balls
tina spends 65$ on supplies to start a dog washing business. she earns $21 every time she washes a dog. what is w, the number of dogs tina must wash to earn a profit of $40
By solving an equation, we know that the value of w or the number of dogs Tina must wash to earn a profit of $400 is 5.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
So, using the information given, the equation can be formed as:
21w - 65 = 40
Now, solve for the subject w to get the value of w as follows:
21w - 65 = 40
21w = 40 + 65
21w = 105
w = 105/21
w = 5
Therefore, by solving an equation, we know that the value of w or the number of dogs Tina must wash to earn a profit of $400 is 5.
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Mary says the digits in the quotient of 381.109+0.86 are 44315.
but she doesn't know where to place the decimal point. How can
Mary use number sense to place the decimal point?
The correct place to the decimal is after 4 digits, that is 4431.5
What is decimal?Decimals are the numbers, having two parts, a whole number part and a fractional part separated by a point that point is called the decimal. For example, 7.5 is a decimal number.
Given that, Mary says the digits in the quotient of 381.109÷0.86 are 44315.
but she doesn't know where to place the decimal point.
The division is 381.109/0.86
Placing the decimals in numerator and removing from denominator,
Since, in the denominator the decimal is two digits before, so multiply numerator and denominator by 100,
38110.9/86
According to rule, put the decimal point in the answer at the same place it is at in the dividend,
38110.9/86 = 4431.5
Hence, she should put decimal before digit 5.
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(a) Solve x² + 2x - 21 < 13.
Answer:
Step-by-step explanation:
17 - 39 - (-82) + 65
Answer:
125
Step-by-step explanation:
The average number of cars waiting at a drive-up window at 9am follows a Poisson distribution with a mean of 2 cars Calculate the following probability of cars waiting at the drive-up window. X = 1, 2, ..., 10 a. P(x=0) = b. P(x=2)
Probability of cars waiting at the drive-up window is P (X=0) = 0.1353 and P (X=2) = 0.2707
What is probability ?The variety of strategies for achievement. the number of potential outcomes. For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one method to acquire a head and there are a total of 2 potential outcomes (a head or tail). We specify P(heads) = 1/2.
There are typically 2. chance of automobiles waiting at the drive-up window on any given morning at 9 o'clock, according to a Poisson distribution. a. P(x=0) P(x=0) X = 1, 2,..., 10
X≅ P(2)
a. P(x=0)
P(x=0)
[tex]e^{-2}[/tex] . [tex]2^{0}[/tex] ÷ 0!
[tex]e^{-2}[/tex]
0.1353
b. P(x=2)
[tex]e^{-2}[/tex] .[tex]2^{2}[/tex] ÷ 2!
2[tex]e^{-2}[/tex]
0.2707
So
Probability of cars waiting at the drive-up window is P (X=0) = 0.1353 and P (X=2) = 0.2707
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Students get two grades for a test in an introductory psychology course: a letter grade, and a numerical equivalent (weighted value). So an A is worth 4 points, a B is worth 3 points, a C is worth 2 points, a D is worth 1 point, and an F is worth 0 points.
The results for the test are listed in the table below.
Score F (=0) D (=1) C (=2) B (=3) A (=4)
Number of students 11 18 52 13 6
Using the numerical equivalents (weighted values), what is the average grade for this test?
Rounded to the nearest hundredth, the average grade is
.
The average grade for this test is given as follows:
1.85.
How to obtain the average grade?The average grade is obtained as the mean of the data-set containing all the grades, which is given by the sum of all grades divided by the number of grades.
Considering the numerical equivalents of each letter, the grades in this problem are given as follows:
11 students with a grade of 0.18 students with a grade of 1.52 students with a grade of 2.13 students with a grade of 3.6 students with a grade of 4.The total number of grades is given as follows:
11 + 18 + 52 + 13 + 6 = 100.
The sum of these grades is given as follows:
11 x 0 + 18 x 1 + 52 x 2 + 13 x 3 + 6 x 4 = 185.
Hence the average grade is of:
185/100 = 1.85.
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418.50 entre 15
explicacion
The magnitude of each part, after dividing, will be equivalent to 27.9.
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is to divide 418.50 between 15.
We have to divide 418.50 between 15. If we have to divide 418.50 into 15 equal parts, then we can write -
15x = 418.50
x = 418.50/15
x = 27.9
Therefore, after dividing, each part will be equivalent to 27.9.
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[ Question in english -
418.50 between 15
Explanation]
A rectangle has vertices (a,b), (c,b), and (a,c). Find the fourth vertex.
The fourth vertex is (
Answer:
the fourth vertex is (3,5) or (6,6)
Step-by-step explanation:
this so ez i dont need to explain it
Which fraction of the total area does each shaded section represent?
Answer:
are three rectangles with the same measurements and the same area, therefore they are worth 1/3, the whole figure, with three rectangles, is worth 3/3
Step-by-step explanation:
Type the correct answer in the box. Spell all words correctly. Consider these four statements about a line that passes through two points on a plane. Statement A: The line is on a different plane from the points. Statement B: The line lies on only one plane. Statement C: The line is on the same plane as the points. Statement D: The line passes through only one plane. Only statement is true. Reset Next
Statement C is correct
The line lies on the same plane as the points.
What is a 3d Plane?A 3-d or three-dimensional plane is called a hyperplane.
The three axes X-axis, Y-axis, and Z-axis are mutually perpendicular to each other.
We can represent a plane in vector form using the following equation. (p — p₀) . n = 0
Let the line is passing through two points on a given plane. Then, this is the line joining the two points and so all the points lying on this line must also lie on the plane. This clearly tells that the line completely lies on the same plane as the points.
the correct option is Statement C. The line is on the same plane as the points
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Write an equation for a rational function with the given characteristics.
Vertical asymptotes at
x = −3
and
x = 6,
x-intercepts at
(−4, 0)
and
(1, 0),
horizontal asymptote at
y = −3
Answer:
y = -3(x +4)(x -1)/((x +3)(x -6))
Step-by-step explanation:
You want a rational function with vertical asymptotes at -3, 6; x-intercepts at -4, 1; and a horizontal asymptote at y = -3.
Vertical asymptotesA rational function will have vertical asymptotes at the denominator zeros. Vertical asymptotes at -3 and 6 will be had if the denominator has factors (x +3) and (x -6).
X-interceptsA rational function will have x-intercept at the numerator zeros. X-intercepts at -4 and 1 will be had if the numerator has factors (x +4) and (x -1).
Horizontal asymptotesA horizontal asymptote will be found at the y-value that is the (constant) ratio of the highest-degree terms of the numerator and denominator. Here, we can achieve that by multiplying the factors mentioned above by the desired constant (-3).
The equation is ...
[tex]\boxed{y=-3\dfrac{(x+3)(x-6)}{(x+4)(x-1)}}[/tex]
__
Additional comment
A "hole" will be found where a numerator and denominator factor cancel. For example, a hole at x=7 could be achieved by making the function have an additional numerator factor of (x -7) and an additional denominator factor of (x -7).
Effectively, the horizontal asymptote is the quotient of the numerator and denominator (excluding the "remainder"). If that quotient is a linear (or other) function, the graph will asymptotically approach that function as the magnitude of x gets large. A linear function gives a "slant aymptote."
Solving System with 3 variables
Problem 1: Solve for x, y, and z. Show all your work!
x-5y+3=39
3x+8y-z=-19
2x-6y-5z=-29
Answer:
x = 2
y = -2
z = 9
(2,-2,9)
Step-by-step explanation:
PLEASE HELP ME!! 50 POINTS! AND AWARDING BRAINLIEST! :DD
Beginning inventory 38,900 ending inventory 42,100 cost of goods sold 83,500 what is the net purchase?
Answer:
Net Purchase is 86700---------------------------
Given:
Beginning inventory 38900, Ending inventory 42100,Cost of goods sold 83500,Net Purchase = ?The difference in the inventory is same as the difference between cost of goods sold and net purchase.
42100 - 38900 = 3200Net purchase is the sum of the cost of goods and the difference between beginning and ending inventory:
Net Purchase = 83500 + 3200 = 86700Answer:
The difference in the inventory is same as the difference between cost of goods sold and net purchase.
42100 - 38900 = 3200
Step-by-step explanation:
Net purchase is the sum of the cost of goods and the difference between beginning and ending inventory:
Net Purchase = 83500 + 3200 = 86700
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Which of the following equations represents a line with a positive slope and a negative y-intercept?
The equation represents a line with a positive slope and a negative y-intercept is y = 7.5x - 2
How to determine which equation represents a line with a positive slope and a negative y-intercept?
The slope-intercept form of the equation of a line is y = mx + c
where m is the slope and c is the y-intercept
Given: y = 3.5x, y = 1/4 x + 7, y = 7.5x - 2 and y = -5x - 8
For y = 3.5x:
y = 3.5x
Comparing with y = mx +c
m = 3.5 and c = 0
For y = 1/4 x + 7:
y = 1/4 x + 7
Comparing with y = mx +c
m = 1/4 and c = 7
For y = 7.5x - 2 :
y = 7.5x - 2
Comparing with y = mx +c
m = 7.5 and c = -2
For y = -5x - 8 :
y = -5x - 8
Comparing with y = mx +c
m = -5 and c = -8
Thus, y = 7.5x - 2 has a positive slope (7.5) and a negative y-intercept (-2)
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Eleanor practices piano for ¾ of an hour every day. How long does she practice in a week? (She practices on weekends, too!)
Answer:
5 1/4
Step-by-step explanation:
Hope this helps!
In the parallelogram, m
By the concept of the sum of the adjacent angle in a parallelogram, we determine m∠PQR = 76°.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
We know a parallelogram has opposite angles of equal measure and the sum of adjacent angles is 180°.
Given, m∠QRP = 38° and m∠PRS = 66°.
∴ m∠PQR = 180° - 38° - 66°.
m∠PQR = 76°.
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A student has a container with a volume of 1.5 L. She estimates the volume to be 1.8 L. By what percent is the students estimate off?
Answer:
20%
Step-by-step explanation:
You want to know the percentage error in an estimate of 1.8 L for an actual value of 1.5 L.
Percentage errorThe percentage error is the ratio of error amount to actual value, multiplied by 100%.
Error amount = estimate - actual = 1.8 L -1.5 L = 0.3 L
ratio = (error amount)/(actual) = (0.3 L)/(1.5 L) = 0.2
percentage error = 0.2 × 100% = 20%
The error in the student's estimate is 20%.
What is this I need help quick
The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
Answer:
see explanation
Step-by-step explanation:
$1.25 is the cost per ticket
Jermaine bought 25 tickets in total
Spent a total of $43.75
y = total cost
x = number of ride tickets
1.25 ( 25 ) = 31.25
31.25 is the total money spent on ONLY tickets.
To find the cost of admission...
43.75 - 31.25 = 12.50
The cost of admission is $12.50
Equation: 1.25x + 12.5 = y
For his birthday, Zack and three of his friends went to a movie. They each got a ticket for $8.00 and the same snack from the concession stand. If Zacks mom paid $48 for the groups tickets and snacks how much did each snack set cost?
Answer:
$4.00
Step-by-step explanation:
There is, in total, 4 people attending the movies. [Zack and his 3 friends]
If each ticket costs $8.00, we can use 4 x $8.00 to find out how much the tickets costs.
4 x $8.00 = $32.00
If his mom paid $48 dollars in total, to get the amount of money they spent on snacks, we can use $48 - $32.
$48 - 32 = $16
We can now divide $16.00 by 4, as everyone [Zack and his 3 friends] got the same snack from the concession stand, and that leaves us with the equation: $16/4 [also known as 16 divided by 4]
$16/4 = $4.00
Each snack set cost $4.00
Each piece of lead for a mechanical pencil is 65 mm long. Find the total length in centimeters of the lead in a package with 25 pieces.
Answer:
cis theanswerforthequwstion