The missing value for the letter b can be determined by finding the ratio of pencils to pens and applying it to the known value of pencils. The value of b is 168.
To find the missing value for the letter b, we need to determine the ratio of pencils to pens based on the given information. We can do this by dividing the number of pencils by the number of pens in each case.
In the first case, the ratio is 18/72 = 1/4.
In the second case, the ratio is 29/35 = 1/5.
To find the missing value for b, we need to apply the same ratio to the number of pens in the third case, which is 140.
Using the ratio 1/5, we can calculate b as follows:
b = (1/5) * 140 = 28.
However, there seems to be a mistake in the given answer choices. The correct value of b based on the calculations is 28, not 168. Therefore, the missing value for the letter b is 28.
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The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22,
median = 26, upper quartile = 29, and maximum = 37.
Which box plot represents the data?
15 16 17 18
19 20 21 22 23 24 25 26 27 28 29 30 31
31 32 33 34 35 36
15 16 17 18
19 20 21
22
20
24
25
26
27
20
20
20
31
32
33 34 35
15 16 17 18 19 20 21
18 19 20 21 22 23 24 25 26 27
25 26 27 28 29 30 31 32 33 34
32 33 34 35 36 37
O
20
15 16 17 18
21 22 23 24 25
26 27
20
29
35
33 34
Answer:
The answer is B
Step-by-step explanation:
I took the test
The box plot that represents the number of bus drivers with the given five-number summary is: option B (see image attached below).
How to Graph A Box Plot?A box plot is graphed to indicate the five-number summary as:
Minimum is represented by the value at the extreme end of the left whiskerLower quartile is at the beginning of the edge of the rectangular boxMedian is at the vertical line dividing the boxUpper quartile is at the end of the edge of the rectangular boxMaximum is represented by the value at the extreme end of the right whisker.Given the five-number summary of the number of bus riders as: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37, the box plot that represents the data is: Option B (see image attached below.
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(q8) Which of the following is the area of the surface obtained by rotating the curve
, about the y-axis?
The area of the surface obtained by rotating the curve x = y² − 2y + 1, 0 ≤ y ≤ 2 about the y-axis isπ ∫_0^2 [(y-1)^2+1] √[1+4(y-1)^2] dy.Let's work out the solution. We need to apply the formula of surface area by revolving around the y-axis.The surface area is generated by the revolving the curve about y-axis, given as,x = y² − 2y + 1, 0 ≤ y ≤ 2.
Now, we must derive the formula to calculate the area of a surface obtained by rotating a curve around the y-axis. We use the formula given below, which involves integration of the function involved.
Let's see the formula for rotating around the y-axis:Area = 2π ∫_a^b xf(x)dxWe have given x = y² − 2y + 1, 0 ≤ y ≤ 2,To apply the above formula, we need to rearrange the given curve in terms of x,Let x = y² − 2y + 1We can obtain the value of y as, y = 1 ± √(x − 1).The limits of integration of y-axis are 0 and 2.Therefore, the area of the surface obtained by rotating the curve x = y² − 2y + 1, 0 ≤ y ≤ 2 about the y-axis isπ ∫_0^2 [(y-1)^2+1] √[1+4(y-1)^2] dy.
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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
Answer:
[911,∞)
Step-by-step explanation:
Given: S be the number of cans collected by Shane.
Since, Abha collected 178 more cans than Shane did.
Then, the number of cans collected by Abha = S+178
Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.
So,
Hence, the solution set of the inequality will be [911,∞)
Is this a Function or not a Function?
Help
Answer:
yes
Step-by-step explanation:
no
Which expression is equivalent to 5(2+7)?
Answer:
I can help you but first I need the rest of the answers to find out what's it equivalent to.
Karen wants to string lights around the edge of her deck. The shape and dimensions of her deck are shown in the diagram
How many feet of lights does she need to get the lights around her deck?
Answer:
She needs 70ft of lights
Step-by-step explanation:
Find the area of each rhombus. Write your answer as an integer or a simplified radical
Step-by-step explanation:
area of rhombus =1/2×d1×d2
area of rhombus =1/2×9cm×5cm
area of rhombus =22.5cm²
area of rhombus = 1/2×d1×d2
area of rhombus =1/2×8in×17in
area of rhombus= 68in²
A random sample of 16 size A batteries for toys yield a mean of 3.29 hours with standard deviation, 1.4 hours.
(a) Find the critical value, t∗, for a 99% Confidence interval.
(b) Find the margin of error for a 99% Confidence interval.
a. Critical value, t∗, for a 99% Confidence Interval, n=16 is given by t∗=2.921.
b. The margin of error is 0.97.
a) Critical Value, t∗ for a 99% Confidence Interval: Critical value, t∗, for a 99% Confidence Interval, n=16 is given by t∗=2.921.
Note: t-table, with 15 degrees of freedom is used to determine the critical value for the given confidence interval.
b) Margin of Error for a 99% Confidence Interval:Margin of error for a 99% confidence interval, n=16 is given by E = t∗× s/√n, where s is the standard deviation.
E = 2.921 × 1.4/√16 = 0.97 (rounded off to two decimal places).
Hence, the margin of error is 0.97.
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Find the critical value, t∗, for a 99% Confidence interval.
The sample size is 16.The degree of freedom (df) = n - 1 = 16 - 1 = 15.
From t-table for 15 degrees of freedom (df) and 99% level of confidence (α = 0.01) (two-tail) t* = 2.947.a) t* = 2.947.
b) Find the margin of error for a 99% Confidence interval.
The margin of error (E) for a 99% confidence interval is given by:
E = t* × s / √n
Where s is the sample standard deviation.
s = 1.4 (given)E = 2.947 × 1.4 / √16E = 0.7285 or ≈ 0.73
Therefore, the margin of error for a 99% confidence interval is approximately 0.73.
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Find the tangents of the acute angles in the right triangle. Write each answer as a fraction,
45
tan R-
tan S -
Answer:
Following are the solution to these question:
Step-by-step explanation:
Please find the complete question in the attachment file.
Formula:
[tex]\to \tan \theta= \frac{Perpendicular}{Base}[/tex]
[tex]\to \tan R = \frac{45}{28} \\\\ \to \tan S = \frac{28}{45}[/tex]
Find the equilibrium vector for the transition matrix 0.47 0.19 0.34 0 0.45 0.55 0 0 1 The equilibrium vector is (Type an integer or decimaldor each matrix element)
The equilibrium vector for the given transition matrix is approximately (0.359, 0.359, 0.284).
To find the equilibrium vector, we need to solve the equation [tex]T * v = v[/tex], where T is the transition matrix and v is the equilibrium vector.
Let's denote the equilibrium vector as (x, y, z). Setting up the equation, we have:
[tex]0.47x + 0.19y + 0.34z = x\\0.45x + 0.55y + 0z = y\\0x + 0y + 1z = z[/tex]
Simplifying the equations, we get:
[tex]0.46x - 0.19y - 0.34z = 0\\-0.45x + 0.45y = 0\\0x + 0y + 1z = z[/tex]
From the second equation, we can see that x = y. Substituting x = y in the first equation, we have:
[tex]0.46x - 0.19x - 0.34z = 0\\0.27x - 0.34z = 0[/tex]
Simplifying further, we get:
[tex]0.27x = 0.34z\\x = (0.34/0.27)z\\x = 1.259z[/tex]
Since the equilibrium vector must sum to 1, we have:
[tex]x + y + z = 1\\1.259z + 1.259z + z = 1\\3.518z = 1\\z - 0.284[/tex]
Substituting the value of z back into x, we get:
[tex]x = 1.259 * 0.284=0.359[/tex]
Therefore, the equilibrium vector is approximately (0.359, 0.359, 0.284).
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Five more then six times a number is 17.what is the number
Answer:
2
Step-by-step explanation:
You set up and equation:
5+6x = 17
You solve it and get 2.
Step-by-step explanation:
17-5 = 12
Zoe works in a bakery. She uses 250 milliliters of milk to make a loaf of bread. How many liters of milk will she need to make 15 loaves of bread?
Answer: 3.75 liters
Step-by-step explanation:
Zoe uses 250 milliliters of milk to make a loaf of bread.
If she needed to make 15 loaves therefore, she would do the following:
= 250 * 15 loaves
= 3,750 milliliters of milk
Then convert the above quantity to liters.
1 Liter = 1,000 milliliters.
3,750 milliters to liters is:
= 3,750 / 1,000
= 3.75 liters
Sara had 27 peaches and 11 pears left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 63 peaches at the stand, how many did she pick
Answer:
36
Step-by-step explanation:
sara had 27 peaches when she left the stand. when she returns the total number of peaches is 63. So to find the answer you take 63 and subtract it by 27 to get your answer.
calculate the velocity of a stream if a drop of food coloring is timed traveling 32 feet in 15 seconds.
The velocity of the stream is approximately 2.13 feet per second.
To calculate the velocity of the stream, we can use the formula:
Velocity = Distance / Time
Given that the drop of food coloring travels 32 feet in 15 seconds, we can plug in these values into the formula:
Velocity = 32 feet / 15 seconds
To find the velocity, we divide 32 by 15:
Velocity ≈ 2.13 feet per second
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The work of a student trying to solve the equation 2(4x − 3) = 9 + 2x + 6 is shown below: Step 1: 2(4x − 3) = 9 + 2x + 6 Step 2: 8x − 3 = 15 + 2x Step 3: 8x − 2x = 15 + 3 Step 4: 6x = 18 Step 5: x = 3 In which step did the student first make an error and what is the correct step? (4 points) a Step 2: 8x − 3 = 15 + 2x b Step 2: 8x − 6 = 15 + 2x c Step 3: 8x + 2x = 15 + 2 d Step 3: 8x − 2x = 15 − 2
Answer:
Step-by-step explanation:
2(4x - 3) = 9 + 2x + 6 Combine the like terms on the right
2(4x - 3) = 2x + 15 The distributive property gets rid of the brackets
8x - 6 = 2x + 14 Add 6 to both sides
6 6
8x = 2x + 20 Subtract 2x from both sides
-2x -2x
6x = 20
Step 2 is the error. It is a very common error. You multiply 2 and - 3 together. as well as 2 and 4 together. If you are going to forget something that will be it.
A 1-g antibiotic vial states "Reconstitute with 3.4 mL of sterile water for a final volume of 4 ml. * What is the powder volume in the vial?
A. 3.4 mL
B. 0.6 mL
C. 4 mL
D. 4.6 mL
The correct answer is option B. 0.6 mL which is the powder volume in the vial.
To determine that 0.6 mL of powder volume in the vial, we need to subtract the volume of the sterile water used for reconstitution from the final volume.
The vial states that it needs to be reconstituted with 3.4 mL of sterile water for a final volume of 4 mL. This means that 3.4 mL of sterile water will be added to the vial to make a total volume of 4 mL.
To find the powder volume, we subtract the volume of the sterile water (3.4 mL) from the final volume (4 mL):
Powder volume = Final volume - Volume of sterile water
Powder volume = 4 mL - 3.4 mL
Powder volume = 0.6 mL
Therefore, the powder volume in the vial is 0.6 mL.
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Theoretically, if a month is chosen 300 times,
how many times would you expect a month
that starts with the letter J?
Answer:
75 times.
Step-by-step explanation:
Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because [tex]\frac{3}{12}=\frac{1}{4}[/tex], which is 25%. 25% of 300 (or [tex]\frac{300}{4}[/tex], for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.
Hope this helps!
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18+2 =20
Because 18 is 2 numbers away from 20
Answer:
Yes, that is correct.
Step-by-step explanation:
solving for x, please help
Answer:
x = 5,-2
Step-by-step explanation:
Multiply the whole equation by 3(x+1) to get rid of the denominator.
[tex] \large{ \frac{x + 2}{3} \times 3(x + 1) = \frac{2(x + 2)}{x + 1} \times 3(x + 1)} \\ \large{(x + 2)(x + 1) = 2(x + 2) \times 3} \\ \large{ {x}^{2} + 3x + 2 = 6(x + 2)} \\ \large{ {x}^{2} + 3x + 2 = 6x + 12}[/tex]
Then we solve the equation.
[tex] \large{ {x}^{2} + 3x + 2 - 6x - 12 = 0} \\ \large{ {x}^{2} - 3x - 10 = 0} \\ \large{(x - 5)(x + 2) = 0} \\ \large{x = 5, - 2}[/tex]
Since we are also solving rational equation, make sure that x ≠ -1 for this problem. Because if x = -1, the denominator is 0 which is undefined. Since our solutions are x = 5,-2 and not -1. Therefore the answer is x = 5,-2
Find mXY
X
23°
N
I
plz help
Answer:
arc XY = 46°
Step-by-step explanation:
The inscribed angle XZY is half the measure of its intercepted arc , then
arc XY = 2 × 23° = 46°
two equal sides of a triangle are each 8 m less than six times the third side. if its perimeter is 23 m, what are its side-lengths?
The side lengths of the given triangle are 3 m, 10 m, and 10 m.
Let's assume the length of the third side of the triangle is x.
According to the given information, the two equal sides of the triangle are each 8 m less than six times the third side. Therefore, the lengths of the two equal sides can be expressed as:
6x - 8
6x - 8
The perimeter of a triangle is the sum of all three sides. In this case, the perimeter is given as 23 m:
x + (6x - 8) + (6x - 8) = 23
Simplifying the equation:
x + 6x - 8 + 6x - 8 = 23
13x - 16 = 23
13x = 23 + 16
13x = 39
x = 39 / 13
x = 3
Now that we have the value of x, we can find the lengths of the two equal sides:
Equal side 1 = 6x - 8 = 6 * 3 - 8 = 10 m
Equal side 2 = 6x - 8 = 6 * 3 - 8 = 10 m
Therefore, the side lengths of the triangle are 3 m, 10 m, and 10 m.
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1/4x + 6 = 1/2 (x+4)
Answer:
Solution x=16
Step-by-step explanation:
How many yards are equivalent to 38 feet? Sh
Answer:
16 2/3 yards
Step-by-step explanation:
Hope this helps and have a wonderful day!!!!
Maria rides her bike on the same route each day. The table shows the relationship between the days (d) Maria rides her bike and the total miles (m) traveled. Maria's Bike Rides Days (d) Total Miles (m) 4 50 12 150 16 200 24 300 Which equation describes the data in the table? A. m = 12.5d B. m = d + 8.3 C. m = d + 12.5 D. m = 8.3d
Answer:
C
Step-by-step explanation:
in class of 40 pupils,20% are absent one day. (a) how many pupils are absent?
Answer: 8 pupils are absent
Step-by-step explanation:
20 percent * 40 =
(20* 40)/100 =
(800)100 =
=8
Imagine drawing a figure with the following conditions:
VX
A quadrilateral with at least two right angles. Is the figure
described unique? Explain why or why not.
Answer:
with atleast two right angles in rectangle and it do not describe unique because it is simple
Find the flux of the vector field F across the surface S in the indicated direction.
F = x i + y j + z 2 k; S is portion of the cone z = 2 square root of x^2+y^2 between z = 2 and z = 4; direction is outward
The flux of the vector field F across the surface S in the indicated direction is 8π/3.
So, the flux of the given vector field F across the surface S can be calculated by the surface integral as follows:
Φ = ∫∫S F · dS = ∫∫S (xi + yj + z2k) · n(x, y, z) dS= ∫∫S (2x/z + 2y/z + z2(-1/2)) dS= ∫∫S (2x + 2y) / z dS= ∫0²∫2π 2rcosθ / z √(r² + z²) dr dθ= 8π/3.
The flux of the vector field F across the surface S in the indicated direction is 8π/3.
Given, vector field F = xi + yj + z2k,
S is the portion of the cone z = 2√(x² + y²) between z = 2 and z = 4 and the direction is outward.
The flux of the vector field F is given by the surface integral:Φ = ∫∫S F · dS .
Here, dS is the outward pointing unit normal vector of the surface S. Hence the flux Φ will be positive if F points outward, otherwise negative. The surface S can be parameterized as r(x, y, z) = xi + yj + zk, where z varies from 2 to 4 and (x² + y²) = (z²/4).
Then, the unit normal vector to the surface is given by n(x, y, z) = (2x/z)i + (2y/z)j - k/2.
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please help i’ll give brainliest
Answer:
A insects and plants
Step-by-step explanation:
the decaying things are used as fertilizer for plants to grow and insects to eat
True/False: let a be square real matrix if v is an eigenvector for eigenvalue λ then v is an eigenvector for eigenvalue λ
True. et a be square real matrix if v is an eigenvector for eigenvalue λ then v is an eigenvector for eigenvalue λ
In linear algebra, if a is a square real matrix and v is an eigenvector of a corresponding to eigenvalue λ, then v is also an eigenvector of a corresponding to the same eigenvalue λ. The definition of an eigenvector states that it remains unchanged (up to scaling) when multiplied by the matrix, and this property holds regardless of whether the eigenvalue is repeated or not. Therefore, if v satisfies the equation a * v = λ * v, it will still satisfy the same equation when considering the eigenvalue λ.
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Without looking, sam took a colored pencil from his case, which has 1 black, 2 red, 3 blue, 2 yellow, and 1 orange pencil. What's the probability he chose a blue one?
Answer:
3/9 or 1/3
Step-by-step explanation: