Answer:
254.34 in²
Step-by-step explanation:
Assuming that the shape is a circle,
area of circle= πr², where r= radius.
Given that the diameter is 18 in,
radius= diameter ÷2
radius= 18 ÷2
radius= 9 in
Let's substitute r= 9 and use 3.14 as the value of π:
Area of circle
= 3.14(9²)
= 3.14(81)
= 254.34 in²
1.
\( \sqrt{ \frac{5}{3} } \)
2.
\( \sqrt{ \frac{0}{9} } \)
3. 0.6
4.
\( | - 3| \)
Answer:
so is it 0.6 because aren't irrational number are decimals
Simplify to create an equivalent expression.
5(10k + 1) + 2(2+8k)
Answer:
66k+9
Step-by-step explanation:
Let's simplify step-by-step.
5(10k+1)+2(2+8k)
Distribute:
=(5)(10k)+(5)(1)+(2)(2)+(2)(8k)
=50k+5+4+16k
Combine Like Terms:
=50k+5+4+16k
=(50k+16k)+(5+4)
=66k+9
Answer:
=66k+9
HOPE THIS HELPS!!!!!! :)
<3333333333
1. Simplify \( (6-7 i)-(8-5 i)-7 \) 2. Solve, simplify any radicals or complex/imaginary numbers: \( 6 x^{2}=-384 \)
The expressions when simplified are -9 - 2i and x = ±8i
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
(6 -7i) - (8 - 5i) - 7
When evaluated, we have
(6 -7i) - (8 - 5i) - 7 = -9 - 2i
How to solve the equationHere, we have
6x² = -384
Divide by 6
x² = -64
Take the square roots
x = ±8i
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What is the domain of F(x)=9-x??
F F(x) >9
G All real numbers
H-3
1 x59
Does anyone know what this is :
x - 12 = -2
a wheel is rotating at 5 radians /sec and the wheel has a 83 inch diameter , to the nearest foot , what is the speed of a point on the rim in ft/min
Answer:
The speed of a point on the rim of the wheel is approximately 207 feet per minute.
Step-by-step explanation:
we need to convert the given information into consistent units and apply the appropriate conversion factors.
Given:
Angular speed: 5 radians/sec
Diameter of the wheel: 83 inches
To convert the diameter from inches to feet, we divide it by 12 since there are 12 inches in a foot:
Diameter in feet = 83 inches / 12 = 6.92 feet (rounded to two decimal places)
To calculate the circumference of the wheel, we multiply the diameter by π (pi), which is approximately 3.14159:
Circumference = π * Diameter = 3.14159 * 6.92 feet ≈ 21.73 feet (rounded to two decimal places)
Now we have the distance traveled by a point on the rim in one revolution (circumference).
To find the speed in feet per minute, we need to convert the angular speed from radians per second to revolutions per minute.
Since there are 2π radians in one revolution, and 60 seconds in one minute, we can use the following conversion factor:
1 revolution/second = (1 revolution/2π radians) * (2π radians/1 revolution) * (60 seconds/1 minute) = 60/2π ≈ 9.55 revolutions/minute
Therefore, the speed of a point on the rim of the wheel is approximate:
21.73 feet/revolution * 9.55 revolutions/minute ≈ 207.41 feet/minute (rounded to two decimal places)
So, to the nearest foot, the speed of a point on the rim of the wheel is approximately 207 feet per minute.
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The sum of two numbers is 27 and their product is 50. Find the numbers.?
Answer:
a + b = 27
=> a = 27 - b
ab = 50
So, (27 - b) x b = 50
27b - b^2 = 50
b^2 - 27b + 50 = 0
Solving, b = 25, 2
Hence,
Case 1: b = 25, a = 2
Case 2, b = 2, a = 25
Answer:
2, 25
Step-by-step explanation:
Let the numbers be x and y :
x + y = 27xy = 50Rearrange the first equation so it is equal to one variable :
y = 27 - xSubstitute the value in the second equation :
x(27 - x) = 5027x - x² = 50x² - 27x + 50 = 0(x - 25)(x - 2) = 0x = 2, 25if repeated samples of yogurt sales were taken, according to the central limit theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough. because the sample population is , it is safe to apply the central limit theorem, even if the sample size for each sample is 15. a.) uniformly distributed b.) positively distributed c.) normally distributed d.) negatively distributed
The correct option is C. It is safe to apply the central limit theorem, even if the sample size for each sample is 15, if the sample population is normally distributed.
The central limit theorem states that, if you take repeated samples of a population and calculate the mean of each sample, the distribution of the means of those samples will tend to be normally distributed, provided that the sample size is large enough. This means that, even if the original population is not normally distributed, the distribution of the means of the samples will tend towards a normal distribution as the sample size increases.
However, if the original population is already normally distributed, then you can apply the central limit theorem with a smaller sample size and still expect the distribution of the means of the samples to be normally distributed. Therefore, in order for it to be safe to apply the central limit theorem with a sample size of 15, the sample population must be normally distributed.
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worth 100 points!
pls screnshot and answer
u will be marked as brainliest <33
a) The list of possible outcomes for white and black are shown
b) The number of outcomes that given one white and one black are: two outcomes.
c) The sample space diagram is:
B, B | B, W
W, B | W, W
How to find the sample space?A sample space is a collection or set of possible outcomes from a random experiment. The sample chamber is denoted by the symbol 'S'. A subset of the possible outcomes of an experiment are called events. A sample room can contain a set of results according to an experiment.
a) Under spinner to column, the list of possible outcomes are respectively:
White
Black
White
Under outcomes column, the list of possible outcomes are respectively:
B, W
W, B
W, W
b) From the table, we can conclude that the number of outcomes that given one white and one black are two outcomes.
c) The sample space diagram will be:
B, B | B, W
W, B | W, W
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PLEASE HELP!!!!! You are given an isosceles trapezoid ABCD with median XY. Complete the following.
m
For the rhombus below, find the measures of angles 1, 2, 3, and 4.
The measure of angles inside the rhombus are:
∠1 = 56
∠2 = 56
∠3 = 34
∠4 = 34
We have,
In a rhombus,
The opposite angle is congruent.
So,
(56 + 56) = ∠1 + ∠2
And,
∠1 and ∠2 are equal angles.
So,
112 = 2∠1
∠1 = 56
∠2 = 56
Now,
All four angles in side the rhombus = 360
112 + 112 + ∠x + ∠x = 360
2∠x = 360 - 224
2∠x = 136
∠x = 68
This ∠x is the angle inside the rhombus.
And, ∠x/2 = ∠3 = ∠4
So,
∠3 = 68/2 = 34
∠4 = 34
Thus,
The measure of angles inside the rhombus are:
∠1 = 56
∠2 = 56
∠3 = 34
∠4 = 34
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The square of z varies inversely as the square root of w. if z = 36 when w = 16, what is the value of z when w = 81?
Answer:
24
Step-by-step explanation:
The graph of r= 2 cos5 phi is symmetric about the _____.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST I NEED A DOUBLE CHECK THANKS
Answer:
the last one
Step-by-step explanation:
cus i am smart
652 10(3) trying to determine platelet count from a test result.
The platelet count is 652 x 10^3.
How to determine platelet count?Based on the information provided, it seems that the platelet count from a test result is 652, and the normal range for platelet count is 150,000 to 450,000 platelets per microliter of blood. The value "10(3)" likely refers to the measurement being in thousands.
To convert the measurement to the standard unit of platelet count, we need to multiply the given value by 1,000. Thus, 652 * 1,000 = 652,000 platelets per microliter.
It's important to note that platelet counts can vary depending on various factors, and medical professionals typically interpret the results in conjunction with other clinical information. If the obtained value of 652,000 platelets per microliter is accurate, it would be significantly higher than the upper limit of the normal range.
It's crucial to consult a healthcare professional or a qualified medical practitioner for an accurate interpretation of test results and any necessary medical advice or treatment.
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#SPJ11help please ill mark brainlyist 25 pts. A rabbit is 4m away from its burrow. Each hop takes it 0.4 farther from the burrow. The following diagram shows that there is a tasty plant that is 6m text from the burrow.
Which equation can we use to determine h, the number of hops it takes the rabbit to reach the plant?
Choose 1 answer:
Answer:
C
Step-by-step explanation:
He is already 4 m away from the burrow and the plant is 6 meters away the plant is the goal and each hop brings him 0.4 closer so you would multiply 0.4 by the amount of hops and add 4 and it should equal 6 ex: 4+0.4h=6
if you where to solve for h you would get the amount of hops you need. hope this was helpful :D
Answer:
c
Step-by-step explanation:
i did it on khan
If n is a negative number which of these has the greatest value
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
6 - n = 6 - (-#) = 6 + n
3 (6n) = greatest value
find the equation in slope-intercept form of the line that passes through the points (-3,4) & (2, -1)
Answer:
y=-x+`1
Step-by-step explanation:
Just follow the slope-intercept form formula-
Formula: y=mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Let me know if you have any questions, hope this helps! (:
find the yy -component of vector a⃗ a→ = (5.0 m/s2m/s2 , −y−y -direction).
The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.
Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s² Answer: 0 m/s².
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The yy-component of vector a⃗ a→ is -y-direction.
Explanation:The yy-component of a vector represents the magnitude of the vector in the y-direction.
In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).
Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.
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A. Which game piece is worth the greatest total points? Explain.
The rhombus earns the most points because it has the shortest perimeter, which is worth the most points at 3, and it still earns 1 point for having a right angle.
What is the game piece about?To determine which game piece is worth the greatest total 6 points, we need to evaluate each piece's attributes and determine which combination of attributes will result in the highest point value.
Let's start by looking at each game piece and its attributes:
Right angle: This piece has one right angle and three other angles that are not right angles. It has no pairs of parallel sides and its perimeter can vary. Trapezium: This piece has one pair of parallel sides and one pair of non-parallel sides. It has no right angles and its perimeter can vary. Parallelogram: This piece has two pairs of parallel sides and no right angles. Its perimeter can vary. Rhombus: This piece has two pairs of parallel sides and all four angles are equal. Its perimeter can vary.Now, let's add up the points for each game piece:
Right angle: 1 + 0 + 0 = 1
Square: 1 + 2 + 0 = 3
Parallelogram: 1 + 2 + 0 = 3
Rhombus: 1 + 0 + 3 = 4
Therefore, Based on these calculations, the rhombus is the game piece worth the greatest total of 6 points. It earns 4 points out of a possible 6, while the square and parallelogram both earn 3 points and the right angle earns only 1 point.
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See text below
EXPLORE & REASON
40 Players place game pieces on the board shown and earn points from the attributes of the piece placed on the board.
1 point for a right angle
• 2 points for a pair of parallel sides
⚫ 3 points for the shortest perimeter
A. Which game piece is worth the greatest total 6 points? Explain.
In a random sample survey of 80 students at Ned's middle school, 32 students said that math was their favorite subject. There are a total of 900 students at this middle school. Based on this survey, how many students would you expect to say that math is their favorite subject?
Answer:
360
Step-by-step explanation:
from the survey:
32/80 - 0.4 love math
0.4*900
= 360
The radius of Circle A is 3 in. The radius of Circle B is 3 in. greater than the radius of
Circle A. The radius of Circle C is 3 in. greater than the radius of Circle B. The radius of Circle D is
2 in. less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is __in. 2
Answer:
Area of A: 9pi
5.4 Times greater
Step-by-step explanation:
Circle A Radius: 3
B Radius: 3+A (6 total)
C Radius: 3+B (9 total)
D Radius: C-2 (7 total)
Area of each Circle using formul pi*radius²
A: 9pi
B: 36pi
C: 81pi
D: 49pi
49/9 = 5.4 Circle D is 5.4 times greater then A
50 points and brainliest to first correct answer! :)
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
A quadrilateral ABCD is shown with the opposite sides AB and DC shown parallel and equal.
A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:
Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.
Which statement best describes a flaw in the student's proof?
Question 11 options:
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
Answer/Step-by-step explanation:
"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." True
"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD." True
Now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent..
This means that:
Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.
Answer: Triangles ABD and CDB are congruent by the SAS postulate.
A boat has a speed of 15 mph in calm water. it takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. which equation can be used to find c, the speed of the current in miles per hour? 3(15 – c) = 2(15 c) 2(15 – c) = 3(15 c) 15 – c = 15 c 15 – 3c = 15 2c
The equation that can be used to find the speed of the current, c, in miles per hour is 3(15 - c) = 2(15 + c). The boat's speed when going upstream can be given by⇒ the speed in calm water - the speed of the current. Similarly, the boat's speed when going downstream can be given by⇒ the speed in calm water + the speed of the current.
To explain this equation:
- The boat's speed in calm water is given as 15 mph.
- When traveling upstream (against the current), the boat takes 3 hours to travel a certain distance.
- When traveling downstream (with the current), the boat takes 2 hours to travel the same distance.
- The speed of the current affects the boat's overall speed, so we need to find the value of c.
Distance traveled by the boat upstream = speed x time = (15-c) x 3
Distance traveled by the boat downstream = speed x time = (15+c) x 2
We know that both the distances are same.
So ⇒ 3(15 - c) = 2(15 + c)
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a ___ equation is an equation that contains a variable within a radical expression.
A radical equation is an equation that contains a variable within a radical expression.
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a director of reservations believes that 7% of the ticketed passengers are no-shows. if the director is right, what is the probability that the proportion of no-shows in a sample of 445 ticketed passengers would differ from the population proportion by greater than 3%? round your answer to four decimal places.
Probability that the ticketed passengers the proportion of no-shows in a sample would be greater then 7% is 4.9465.
Given that,
A director of reservations estimates that 7% of the passengers with tickets do not arrive.
We have to find what is the probability that a sample of 445 ticketed passengers would have a no-show rate that was higher than 3% different from the general rate, if the director is correct.
We can write as
Number of no shows ticketed passenger is 7% of 445
= 7% × 445 =31.15
Now,
We have to find probability that 31.15 people or less will be no shows.
Probability of No show ticketed passengers, p = 3% = 0.03
Probability of ticketed passengers who show tickets, q = 97% = 0.97
Mean Number of no shows = 3% of 445
= 0.03 × 445 = 13.35
The Standard Deviation for no show can be written as ,
σ =\(\sqrt{n\times p \times q}\)
σ =\(\sqrt{445 \times 0.03 \times 0.97}\)
σ =\(\sqrt{12.9495}\)
σ =3.5985
Now, z-score is x-μ/σ
=31.15-13.35/3.5985
=17.8/3.5985
=4.9465
Therefore, Probability that the proportion of no-shows in a sample would be less than 7% is 4.9465.
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What is included in capital invested?
The capital includes :
Any financial contribution made to a business to assist in achieving and advancing its commercial goal is referred to as a capital investment. The phrase may also refer to a long-term purchase made by a company, such as one for land, equipment, businesses, etc.
When a corporation issues securities to equity investors and debt to bondholders, the total amount of debt and capital lease obligations are added to the amount of stock given to investors to determine the overall amount of money raised. This amount is referred to as invested capital. The balance sheet of the business does not include an item for invested capital because debt, capital leases, and stockholders' equity are all stated separately.
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Assume we have 3 boxes which contain red and black balls as follows, Box 1; 3 red balls and 7 black balls, Box 2; 6 red balls and 4 black balls, Box 3; 8 red balls and 2 black balls. suppose we draw a ball from box 1; if it is red, we draw a ball from box 2. if the ball drawn from box 1 is black, we draw a ball from box 3. a. what is the probability of red ball from box 1?. b. suppose we draw a ball from box 1 and it is red; what is the probability of another red ball when we draw from box 2 on the second round? c. suppose our first draw from box 1 was black; what is the conditional probability of our second draw from box 3 this time being red? d. Before we draw any ball; what is the probability of drawing two red balls at both draws? e. Before we draw any ball; what is the probability of drawing a red ball at first draw and a black ball at second draw?
a. The probability of drawing a red ball from Box 1 is 30%.
b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.
c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.
d. The probability of drawing two red balls at both draws, without any prior information, is 46%.
e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.
a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.
b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.
c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.
d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.
e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.
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A trapezoidal tabletop with base lengths x and 2x, in feet, and height (x + 4), in feet, has an area represented by the expression (x + 2x)/2 • (x+4). What does 4 represent in the expression?
So, we can see that the 4 in the original expression represents the height of the trapezoidal tabletop in feet.
The area of a trapezoid can be found by using the formula:
\(A = 1/2 * (b_1 + b_2) * h\)
where A is the area, b1 and b2 are the lengths of the two parallel sides (the bases), and h is the height of the trapezoid.
In this case, we are given that the bases have lengths x and 2x, and the height is x + 4. So, we can substitute those values into the formula and simplify:
\(A = 1/2 * (x + 2x) * (x + 4)\)
\(= 1/2 * 3x * (x + 4)\)
\(= 3/2 * x^2 + 6x\)
So, the expression \(\frac{x+2}{2} *(x+4)\) represents the area of the trapezoidal tabletop, which is equal to\(3/2 * x^2 + 6x\).
Now, we need to determine what 4 represents in the expression (x + \(\frac{x+2}{2} *(x+4)\).
The expression (x + 2x)/2 represents the average of the two base lengths, which is equal to (3x)/2. The expression (x+4) represents the height of the trapezoid.
So, the expression \(\frac{x+2}{2} *(x+4)\) can be rewritten as:
\(\frac{(3x)}{2} * (x+4)\)
Expanding this expression, we get:
\(3/2 * x^2 + 6x\)
the correct answer is d .
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3. Mary is a real estate agent. One month she sold 7 houses at these prices: $171 000, $165 000, $178 000, $161 000, $174 000, $168 000, $240 000
3.a) What is the median price of the houses she sold?
3.b) Do you think the mean price is greater than or less than the median price of the houses sold that month? Why?
3.c) Which average do you think better represents a typical price of houses she sold that month? Why?
The median price of the houses sold will be equal to $171000 and yes, the mean price is greater than the median price of the houses.
What is Mean?Mean in mathematics is a quantity that falls somewhere between the extremes of a set. There are different types of meanings, and how they are calculated relies on the connection that is known about or is believed to control the other members.
a.
The median of given prices will be,
Let's arrange the given prices in ascending order,
161000, $165000, $168000, $171000, $174000, $178000, $240000
Then, the middle term is the median,
So, median = $171000
b.
Number of terms = 7
The mean of the given prices will be,
(171000 + 165000 + 178000 + 161000 + 174000 + 168000 +240000)/7
= 1257000/7
Mean = 179571.4286
Comparing mean and median, the mean price is greater than the median.
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