Answer:
1. B
2. A
3. B
4. D
5. C
Ms. Haden has the following pens in her desk drawer.
2 red pens
3 blue pens
4 black pens
Ms. Haden will randomly select one pen, keep it, and then randomly select another pen. What is the probability that Ms. Haden will select a blue pen first and then a black pen?
A 4/27
B 1/6
C 7/18
D 1/5
Answer:
B
Step-by-step explanation:
There are 2+3+4=9 total pens. The chance of selecting a blue pen is 3/9, or 1/3. Then there's 8 pens left, so the chance of selecting a black pen is 4/8=1/2. To answer the question, we multiply 1/3*1/2=1/6.
If MCI offers a 120-minute card for $12, what is the cost per minute?
Which number line can be used to find the distance between (4, –1) and (8, –1)?
A number line going from negative 2 to positive 8 in increments of 1. Points are at 4 and 8.
A number line going from negative 2 to positive 8 in increments of 1. Points are at negative 1 and positive 4.
A number line going from negative 2 to positive 8 in increments of 1. Points are at negative 1 and positive 8.
A number line going from negative 8 to positive 2 in increments of 1. Points are at negative 8 and negative 4
The correct number line that can be used to find the distance between the given points (4, -1) and (8, -1) is a number line going from negative 2 to positive 8 in increments of 1, with the points at 4 and 8.Option (A)
The reason for this is that the two points have the same y-coordinate, which means they lie on a horizontal line. To find the distance between them, we simply need to measure the difference between their x-coordinates, which is 8 - 4 = 4. On the given number line, the distance between points 4 and 8 is also 4 units, so we can directly read off the distance as 4 units.
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how many ternary strings (digits 0, 1, or 2) are there with exactly 5 0s, 5 1s and 5 2s?
A ternary string is a string composed of characters 0, 1, and 2. The number of ternary strings that contain exactly n characters, each of which is one of three types, is 3^n.Exactly 5 0s, 5 1s, and 5 2s are required for the ternary string, which means that the total number of characters is 15.
Each of these characters can be one of three types (0, 1, or 2). As a result, the total number of possible strings is 3^15. This is equivalent to 14,348,907. We arrived at this conclusion by computing 3 to the fifteenth power.Explanation:When constructing a sequence of three symbols, the first symbol has three alternatives, the second symbol has three alternatives, and so on. There are n choices for each of the n characters, resulting in a total of 3^n possible sequences.Example 1:Let's assume we have to create 5-character sequences with three symbols: a, b, and c. There are 3*3*3*3*3 = 243 possible sequences since there are three choices for each symbol.Example 2:Let's assume we have to construct a 10-character sequence using three symbols: 0, 1, and 2. There are 3*3*3*3*3*3*3*3*3*3 = 59,049, a total of 59,049 possible 10-character sequences. We can perform the same calculation for 15-character strings using the same logic.
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A card is selected to from a standard deck of 52 card what are the odds of selecting a red 9
The odds of selecting a red 9 is 1/26.
Probability of an event E is represented by P(E) can be defined as (the number of favorable outcomes) / (Total number of outcomes).
Given the total number of cards in a standard deck = 52
there can be only two red9 as one 9 from heart and one red from diamond.
So the number of outcome for red 9 =2
the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).
Therefore , The odds of selecting a red 9 is 1/26.
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Help, please! Attachment in the photo...
Answer:
yes ∆ABC =~ ∆ADC
EXPLANATION:
Coz AB = AD
BC = DC
AC = Ac
The trapezoids are similar. In the figure below KLMN ~ WXZY. What is the value of b?
A bag of marbles contains 6 bluemarbles, 2 yeloow marbles, 4 red marbles, and 1 green marble. What is the [robability of reaching into the bag and selecting a yellow marble?
Answer:
The probability of picking a yellow marble is 2/13
Step-by-step explanation:
First of all, we need to know the total number of marbles that are in the bag. To do this, we will have to add up all the marble colors together.
This will give us 6 + 2 +4+ 1 = 13 marbles in total.
The next step is to find the number of yellow marbles in the bag.
We can get this from the question. There are 2 yellow marbles in the bag.
The probability of selecting a yellow marble can be obtained by dividing the number of yellow marbles by the total number of marbles in the bag
This will give us 2/13.
Therefore, the probability of picking a yellow marble is 2/13
How many solutions does the following equation have ?- 15y 7 17y 2y 70 − 15y 7 17y 2y 70?
There are no potential remedies for -15y + 7 + 17y = 2y + 70.
What is meant by Mathematical equation?An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. After solving this equation, we learn that the value of the variable x is 7.Given,
Unknown to us is that equation.
-15y + 7 + 17y = 2y + 70
The quantity of solutions to the given equation must be determined.
-15y + 7 + 17y = 2y + 70
Modify the terms.
-15y + 17y + = 2y + 70
Conjoin similar terms
2y + 7 = 2y + 70
The equality property of subtraction
2y - 2y = 70 - 7
Conjoin similar terms
0 = 61
However, it is not feasible.
As a result, the provided equation has no solution.
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Can you guys help me
The problem is in the picture
A farmer wants to fence an area of 3750 square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the amount of fencing needed?.
50 feet is the lengths of the sides of the rectangular field .
What do you mean by rectangular?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.Let x represent the length of the fence and y represent the width of the fence.
Since the area is 3750, hence:
Area = length * width = x * y
3750 = xy
y = 3750/x
A fence divide the field in half and is parallel to one of the sides of the rectangle. Hence:
Amount of fencing needed (P) = x + x + y + y + y = 2x + 3y
Amount of fencing needed (P) = 2x + 3(3750/x) = 2x + 11250/x
To minimize the amount of fencing needed, dP/dx = 0, hence:
dP/dx = 2 - 11250/x²
2 - 11250/x² = 0
2 = 11250/x²
2x² = 11250
x² = 5625
x = 75 feet
y = 3750/x = 3750/75 = 50 feet
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HELP ASAP! Linear function k has a zero at 3 and a y-intercept of 9. Which graph best represents k?
Mr. Macdonald has 480 animals on his farm . 0.5 of the animals arecows 1/8 are goats The remainder of the Animals are chickens and ducks if 33 1/3% are chickens how many ducks are on the farm?
Answer:
120
Step-by-step explanation:
480 total
1/2 = 240 are cows
1/8 = 60 are goats
remaining = 480-240-60 = 180 are chickens & ducks
33.3333% of 180 = chickens =180/3 = 60 chickens
so ducks = 180-60 =120
Answer:
120
Step-by-step explanation:
given that out of 480 animals 0.5 of the animals are cows . So ,
no. of cows = 0.5*480 = 240
Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,
no. of goats = 1/8*480 = 60
Total no. of goats and cows ,
= 240 + 60 = 300
No. of remaining animals= 480 -300 = 180
Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.
Percentage of ducks = (100 - 33⅓ )% = 66.67%
So the number of ducks would be ,
180 * 66.67/100 = 120
And we are done!
Question 1
The volume of a rectangular prism is more than 156 cubic inches. The prism has a length of 8 inches and a width of 3 inches. write an inequality that represents the height h (in inches) of the prism.
The area of the shaded region is 20cm².
Find the value of x, correct to 3 significant figures.
The value of x is 8.37
What is the area of the shaded region?
The area of the shaded area is the difference between the total area of the polygon and the area of the portion of the polygon that is not shaded. In polygons, the area of the shaded component might appear in two different ways. A polygon's sides or its center are both potential locations for the shaded area.
Here, we have
Given: The area of the shaded region is 20cm².
we have to find the value of x.
x in this case is the radius. In fact, both the height and base are the radius.
To find the radius, we need to form an equation. The only info given is with the area of the shaded area which is 20cm².
The area of the sector - an area of the triangle = the shaded area.
Area of the sector = πr²/4
Area of triangle = (1/2)bh
Area of the triangle = x²/2
The area of the triangle is in that way, as the height and base are x ( and x is the radius here!)
= πr²/4 - x²/2
Multiply 4 with the whole equation as it is the LCM.
= 4(πr²/4 - x²/2) = 80
= πx² - 2x² = 80
= 1.142x² = 80
x² = 70.1
x = 8.37
Hence, the value of x is 8.37
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a point on a perpendicular bisector is 7cm from each endpoint of the bisected segment and 5cm from the point of intersection. What is the length of the segment?
9514 1404 393
Answer:
about 9.80 cm
Step-by-step explanation:
The length of half the segment (h) can be found from the Pythagorean theorem:
h² +5² = 7²
h² = 7² -5² = 49 -25 = 24
h = √24 = 2√6
This is half the segment length, so the whole segment length is ...
L = 2h = 2(2√6)
L = 4√6 ≈ 9.7980
The length of the segment is 4√6 ≈ 9.80 cm.
Find the solutions to the following equation. Answers as ordered pairsx^2 + 6x + 5 = 0
x² + 6x + 5 = 0
To find the solution, we can use the quadratic formula.
\(\begin{gathered} x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x_{1,2}=\frac{-6\pm\sqrt[]{6^2-4(1)(5)}}{2(1)} \\ x_{1,2}=\frac{-6\pm\sqrt[]{36^{}-20}}{2} \\ x_{1,2}=\frac{-6\pm4}{2} \\ x_1=\frac{-6+4}{2}=-1 \\ x_2=\frac{-6-4}{2}=-5 \end{gathered}\)The solutions are (-1, 0) and (-5, 0)
2x2/3 - 9x1/3 +4 = 0
Answer:
Exact Form:
x
=
12
5
Decimal Form:
x
=
2.4
Mixed Number Form:
x
=
2
2
5
Step-by-step explanation:
40. Se desea distribuir las bancas dentro de un salón de clases cada 1.5 m como
se muestra en la imagen, ¿de qué forma se puede saber el área requerida para
conservar la separación de las bancas?
1.5m
La forma adecuada para saber el área requerida para conservar la separación de las sillas es multiplicar (7.5) (4.5) opción B.
¿Cómo calcular el área requerida para mantener la separación?Para identificar la operación necesaria para calcular el área requerida para ubicar las sillas con su respectiva separación de 1.5 metros es:
7.5 × 4.5 = 33.75Esta expresión nos va a permitir calcular el área necesaria debido a que la separación entre sillas es 1.5 metros y tenemos 6 sillas a lo largo y 4 sillas a lo ancho, es decir:
1.5 × 5 = 7.5 distancia a lo largo1.5 × 3 = 4.5 distancia a lo anchoNota: Esta pregunta está incompleta porque falta la imagen y las opciones. Aquí está la información faltante:
Opciones:
A. Multiplicar (6)(4)
B. Multiplicar (7.5)(4.5)
C. Multiplicar (9)(6)
D. Multiplicar (9.5)(4.5)
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a- What are the different logs used to obtain porosity? Explain the principles of measurement, quantity measured and its relation to porosity. Illustrate with equations and/or sketches.
Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.
The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.
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The expressions p(200 - 5p) and -5p2 + 200p define the same function. The function models the revenue a school would earn from selling raffle tickets at p dollars each. Can you find the following price without graphing? If the school charges $10, it will collect $1,500 in revenue. Find another price that would generate $1,500 in revenue
The revenue function is the sum of the profit and the cost function
Another price that would generate $1,500 in revenue is $30
How to determine the other priceThe revenue function is given as:
\(R(x) = 05p^2 + 200p\)
When the revenue is 1500, the equation becomes
\(-5p^2 + 200p = 1500\)
Collect like terms
\(-5p^2 + 200p - 1500 = 0\)
Divide through by -5
\(p^2 - 40p +300 = 0\)
Expand
\(p^2 - 30p - 10p +300 = 0\)
Factorize
\(p(p - 30) - 10(p -30) = 0\)
Factor out p - 30
\((p - 10) (p -30) = 0\)
Solve for p
p = 10 or p = 30
Hence, another price that would generate $1,500 in revenue is $30
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Question Content Area
Net Present Value
A project has estimated annual net cash flows of $15,000 for ten
years and is estimated to cost $47,500. Assume a minimum acceptable
rate of return of 20%. Use
The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.
Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.
Net Present Value = 150000 / (1 + 0.20)^10 - 47500
Net Present Value = $67,482.22
Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.
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In how many ways can 4 people be chosen and arranged in a straight line if there are 13 people from whom to choose?
Answer:
17160
Step-by-step explanation:
Total number = n = 13
Number required = r= 4
If the number required does not have a specific order then combinations is chosen.
If a specific arrangement is required then permutations is used.
Here a specific arrangement is mentioned therefore
13P4= 17160
Help its in the picture
Answer:
$190
Step-by-step explanation:
My knowledge!
Hope it helps!
Answer:
190
Step-by-step explanation:
Step 1 find total amount of money she has saved
To do this simply multiply the amount of money she saves per week ( 4.75 ) by the number of weeks ( 8 )
Hence money she has saved = 8 * 4.75 = 35
Step 2 subtract cost of camera by amount of money she has saved
228 - 38 = 190
So we can conclude that she needs 190 more dollars to purchase the camera.
Find the distance (-8,7) and (-6,-4)
0.0 mi
I really hope this Helps, I don't know how to explain it really
jamie wants to treat some friends to lunch. He has $45 and know that the lunch will cost about $7 per person, p. He will also have to pay a $5.10 delivery fee. How many people can jamie buy lunch for?
Write and solve a inequality to represent the situation:
Answer:
5 people
Step-by-step explanation:
1. I subtract 5.10 from 45 which gave me 39.90
2. I divided 39.90 by 7 to figure out how many people he could buy for
3. I had gotten 5.7 so I had to round
4 final answer is 5
Answer:
Jamie can buy lunch for 5 people.
7p≤40
Step-by-step explanation:
Given:
Jamie has $40.
Lunch cost per person = $7
Solution:
Jamie wants to treat some friends to lunch.He has $40 and knows that lunch will cost about $7 per person, p.
So, an inequality to represent this situation is written as:
Hence, the answer is 5
Therefore, Jamie can buy lunch for 5 people.
I hope this helps :)
-3×∛1 +49÷√49= calculate without using a calculator
Answer: 4
Step-by-step explanation:
We can start by simplifying each term step by step:
First, the cube root of 1 is 1, so -3 times the cube root of 1 is simply -3.
Second, the square root of 49 is 7, so 49 divided by the square root of 49 is also 7.
Putting it all together, we have:
-3 × ∛1 + 49 ÷ √49 = -3 + 7 = 4
Therefore, the value of the expression is 4.
A librarian estimated that the library had 65 books about George Washington and 80 books about Abraham Lincoln. The library actually has 67 books about Washington and 71 books about Lincoln. To the nearest whole percent, what is the percent error of the librarian’s total estimate?
A. 1%
B. 5%
C. 7%
D. 10%
Using percentage, we can find that there is an error of 5% in the librarian's estimate.
Define percentage?The denominator of a percentage, also known as a ratio or a fraction, is always 100. For instance, Sam would have received 30 points out of a possible 100 if he had received a 30% on his maths test. In ratio form, it is expressed as 30:100, and in fraction form, as 30/100. Here, "percent" or "percentage" is used to translate the percentage symbol "%." The percent symbol can always be changed to a fraction or decimal equivalent by using the phrase "divided by 100".
As per the question,
Estimated books:
For George Washington = 65
For Abraham Lincoln = 80.
Actual books:
For George Washington = 67
For Abraham Lincoln = 71.
Now total estimated books = 65 + 80 = 145
Now, total actual books =- 67 + 71 = 138.
Difference between them:
= 145 - 138
= 7
Now percent of error = 7/145 × 100
= 0.048 × 100
= 4.8
≈5%
Therefore, there is an error of 5% in the librarian's estimate.
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Can someone help me on this?
I believe the difference is 5 degrees Fahrenheit.
The line tangent to the graph of f(x) = sin x at (0, 0) is y = x This implies that
The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0).
y = x is the best straight line approximation to the graph of f(x) = sin x for all x
O sin(0.0005) \approx 0.0005
O sin(0.0005) ≈ 0.0005. The line tangent to the graph of f(x) = sin x at (0,0) is y = x.
The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). This means that the point (0,0) is on the line y = x and the slope of the line y = x is equal to the derivative of the function f(x) = sin x evaluated at x = 0. The slope of the line y = x is 1, so the derivative of f(x) = sin x evaluated at x = 0 is 1.
The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. This is because the first derivative of sin x evaluated at x = 0 is 1, which is the same as the slope of the line y = x. Therefore, the tangent line to the graph of f(x) = sin x at (0,0) is y = x.
Finally, O sin(0.0005) ≈ 0.0005. This is because sin x is approximately equal to x for small values of x. When x = 0.0005, sin x is approximately equal to 0.0005. Therefore, O sin(0.0005) ≈ 0.0005.
In summary, the line tangent to the graph of f(x) = sin x at (0,0) is y = x. The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. O sin(0.0005) ≈ 0.0005.
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