A train travelling in a circular track of 0.75 km of radíus at 22 km/hr. Find the angle in degrees through which it turns in one minute.
Step-by-step explanation:
Radius of circular track=r=0.75km
Circumference=2πr=2πkm
Speed of train=36 km\hr
Distance moved by train in 30 seconds =36×
3600
30
=
10
3
km
For 2π km, train turns 2π
c
∴ For
10
3
km, train turns
10
3
c
=
π
54
∘
1 minute of arc=
60
1
∘
Angle turned by train =(
π
54×60
) minutes of arc.
≃1031 minutes
Answer:
vận tốc22
chiềudai0.75
t=1/60
đ=111/30
A package of 15 apples contains two defective apples. Four apples are selected at random, (a) Find the probability that none of the selected apples is defective. (b) Find the probability that at least one of the selected apples is defective.
Combination of n things taken r at a time: nCr
a) combinations of healthy apples/all combinations
=13C4/15C4
=715/1365
=.5238
.
b) 1-.5238=.4762
.
Ed
Which best describes the relationship between the line that
passes through the points (1, -6) and (3,-2) and the line that
passes through the points (4,8) and (6, 12)?
A. parallel
B. same line
C. neither perpendicular nor parallel
D. perpendicular
What is the slope of the graph?
points are
(0,3)(1,0)[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]
[tex]\\ \sf\longmapsto m=-3[/tex]
Point T is on line segment SU. Given ST = 4x – 4, TU = 4x – 10, and
SU = 5x + 1, determine the numerical length of TU.
Answer: TU =
Graph the line that passes through the points (-5,1) and (5, -5) and determine the equation of the line.
Answer:
y = -3/5x - 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 1 / 5 - (-5)
-6/ 10
= -3/5
y = -3/5x + b
1 = -3/5(-5) + b
1 = 3 + b
-2 = b
What is the radius and diameter of the following circle? 5.1 cm
Answer:
A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:
Match each equation to its graph. Use the drop-
down menus to describe the equations.
Answer:
D. y=x+1 Linear
A. y=x^2 Quadratic
B. y=(3/2)^x Exponential
C. y=x^2+2/x^2-2 Rational
Step-by-step explanation:
got it right :)
The correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C What is a linear equation?The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.
For example y=2x+3
What is a quadratic equation?The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.
For example, y=3x²
Here given that the functions are given in the figure and we have to identify the appropriate graph.
Checking all the equations individually
y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.Therefore the correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option CLearn more about linear equation
here: https://brainly.com/question/14323743
#SPJ2
Someone please help fasttt!!
Answer:
the slope is -1/4 throughout the line.
Step-by-step explanation:
the slope of a line never changes anywhere on the line. otherwise it would not be a line.
the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.
and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).
therefore -1/4
Answer:
3rd option
Step-by-step explanation:
The line has the same slope over the whole line
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)
m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]
The slope is - [tex]\frac{1}{4}[/tex] throughout the line
The diameter of the circle above is 18 cm. What is the circumference of the circle? (Use = 3.14.)
Answer:
56.57
Step-by-step explanation:
See attached photo for steps
EDIT: I forgot to add 3.14, I am so sorry
Answer:
56.52
Step-by-step explanation:
A video game displays 125 frames in 5 seconds on Penelope's computer. What is the rate in frames per second?
A. 23 frames per second
B. 25 frames per second
C. 26 frames per second
D. 24 frames per second
Answer:
[tex] = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}[/tex]
Answer:
B. 25 frames per second
Step-by-step explanation:
To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.
Therefore, we have:
[tex]\frac{125}{5}=\boxed{25\text{ frames per second}}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
At the Scott wedding, 12 guests sat on the groom's side and 10 guests sat on the bride's side. At the Smith wedding, 13 guests sat on the bride's side and 18 guests sat on the groom's side. Which wedding had a lower ratio of guests of the groom to guests of the bride?
A. not enough information
B. the Smith wedding
C. neither, the ratios are equivalent
D. the Scott wedding
Answer:
D. The Scott Wedding
Step-by-step explanation:
Scott: 12 guests on the groom's side and 10 guests on the bride's side
Smith: 18 guests on the the groom's side and 13 guests on the bride's side
8a^3-36a^2+54a-27-64p^3
Answer:
8a^3-64p^3-36a^2+54a-27
Step-by-step explanation:
since it no common variable so it can not be further solved
How many dimes are there in four hundred
and sixty-seven million dollars?
Answer:4,670,000,000
Step-by-step explanation:
You just have to multiply 467,000,000 by 10
Answer:
4,670,000,000
Step-by-step explanation:
multiply by 10
PLEASE HELP WILL GIVE BRAILNLIEST! Find the value of x
Answer:
x = 14.63
Step-by-step explanation:
Which of the following statements is false?
A. A rectangle is a parallelogram.
B. A rhombus is a parallelogram.
C. The height of a trapezoid is the distance between its bases.
D. Given quadrilateral ABCD, AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are adjacent
to Answer:
D is false
Step-by-step explanation:
AB and CD are not adjacent.
AB is adjacent to BC and AD but not to CD.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Part A: 23
Part B: 13
Part C: Median for the males
Mean for the females
Part D: The day the movie premiered
Process to arrive at the above answers
The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month
The known parameters
The 5 number summary in a are;
[tex]\begin{array}{lcc}\mathbf{Summary}&\mathbf{Males}&\mathbf{Females}\\\\Minimum &0&0\\First \ Quartile, \ Q_1&2&5\\Second \ Quartile, \ median, Q_2&20&7\\Third \ Quartile, Q_3&25&10\\Maximum &50&18\\Outlier&&46\end{array}[/tex]
Part A: The Inter Quartile Range, IQR = Q₃ - Q₁
For the males, we have, IQR = 25 - 2 = 23
Part B: The difference between the median values for the males and females is given as follows;
Difference between median = Q₂ Males - Q₂ Females
∴ Difference between median = 20 - 7 = 13
The difference between the median values for the males and females = 13
Part C:
The distribution of the data for the males is skewed left, with almost all the data in the first half
The better measure of center for the skewed data is the median, given
that three quarter of the data have values that are less than half of the
range of values in the data set, and that the median is close to the third
quartile, the mean will be located further towards the minimum value of
the data than the median
The distribution of the data for the females consists of the interquartile
range located approximately in the middle between the max and the min
values with the median being close to the first quartile, therefore, the
mean will be a better measure of center as it will be located further from
the first quartile and closer midway in the IQR
Part D;
The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered
Learn more about box plots here;
https://brainly.com/question/16171899
https://brainly.com/question/20164121
https://brainly.com/question/17248599
I rlly need help like pleasee
The parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90 B.) 180 C.) 270 D.) 360
Answer:
A. 90
Step-by-step explanation:
Correct on EDGE
Answer:
maybe 90
Step-by-step explanation:
0.007407 in standard form
Step-by-step explanation:
To convert 0.007407 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 7.407 × 10-3
i think this may help you tq
Given that Ray B A bisects ∠DBC, which statement must be true?
B is the midpoint of DC.
please answer this!!!
Answer:
[tex]BC=40[/tex]
Step-by-step explanation:
Since AC is a tangent and PB is the raduis
[tex]\angle PBC= 9[/tex]
By pythagoras
[tex]PC^{2} =PB^{2} +BC^{2}[/tex]
[tex]41^{2} =9^{2} +BC^{2}[/tex]
[tex]1681-81=BC^{2}[/tex]
[tex]1600=BC^{2}[/tex]
[tex]BC=\sqrt{1600}[/tex]
[tex]BC=40[/tex]
OAmalOHopeO
Answer:
40
Step-by-step explanation:
A tangent to a circle is perpendicular to the radius intersection by definition. That makes BPC a right triangle at B. BP and PD are both equal (9) because every radius of a circle is equal. So
PC**2 = BP**2 + BC**2 or
41**2 = 9**2 + BC**2
1681 = 81 + BC**2
1681 - 81 = BC**2
1600 = BC**2
40 = BC
Find the slope, if it exists. 5x - 7y = 14 Select the correct choice below and fill in any answer boxes within your choice.
A. The slope is (Type an integer or a simplified fraction.)
B. The slope is undefined.
Answer:
5/7
Step-by-step explanation:
5x-7y=14
-7y=14-5x
y=-2+5/7x
y=5/7x-2
This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.
4x^2-12x+9.
4x^2+4x+1.,
1+12x+36^2
Answer:
Step-by-step explanation:
What is – x4 + 2x3 + 6x2 – 10x – 4 divided by X – 2?
Answer:
-x^3 + 6x + 2
Step-by-step explanation:
Felix is now six times as old as Debbie. In twelve years time Felix will be two times as old as Debbie. How old are they
Step-by-step explanation:
let debbie be x years
let felix be 6x years
in 12 years felix will be 2x older than debbie
do the calc
Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=
the answer is in the photo
Answer:
2/5
Step-by-step explanation:
[tex] - 2\frac{4}{5} \div ( - 7)[/tex]
[tex] = \frac{2 \times 5 + 4}{5} [/tex]
[tex] = \frac{10 + 4}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = - \frac{14}{5} \times 7[/tex]
[tex] = \frac{14}{5} \div 7[/tex]
[tex] = \frac{2}{5} [/tex]
lets try this again plz help
Answer:
[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $450
Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290
Answer:
The average cost of a sofa = [tex]\$290[/tex]Step-by-step explanation:
Cost of advertised sofa = [tex]\$250[/tex]
Cost of more expensive sofa = [tex]\$450[/tex]
So, the average cost of sofa,
[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]
Hence,
The average cost of a sofa = [tex]\$290[/tex]
For more information, visit
https://www.bartleby.com/questions-and-answers/question-13-a-furniture-store-is-having-a-sale-on-sofas-and-youre-going-to-buy-one.-the-advertisers-/61410cf1-5b19-4491-9893-42336374e48e
PLEASE HELP!
Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?
Answer:
100,000 days
Step-by-step explanation:
1,000,000 / 10 = 100,000 days.
13. Which equation represents the line below?
A. y = -x +3
B. y = 2x - 6
c. y = -x + 4
D. y = 1/2x -3
Answer:
y = -2/3x + 3
Step-by-step explanation:
First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:
(y₂ - y₁) / (x₂ - x₁)
If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3
Next, we can substitute in values in the equation above to get (1 -5)/(3+3)
** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**
Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3
After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).
Therefore, if we put the above information into slope-intercept form:
y = mx + b --> m = -2/3; b = 3
y = -2/3x + 3
Though I don't think that answer choice is there...