Answer:
Step-by-step explanation:
A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6, 7, 8, 10, 11, 14, and 15. Which histogram correctly shows the data set?
Answer:
Choice D
Step-by-step explanation:
After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km
Answer the following: What is the area of the circle? (Will give brainliest)
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
What are the coordinates of the image of R for a dilation with center (0,0) and scale factor 3?
Answer:
(3, -3)
Step-by-step explanation:
If a point is dilated about the origin rule to be followed,
(x, y) → (kx, ky)
where k is a scale factor by which the point is being dilated.
If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]
Therefore, coordinates of the image R' will be (3, -3)
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π) A. 690,800 miles B. 6,908 miles C. 345,000 miles D. 3,454 miles
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
C=πd
C=π*2200
C=3.14*2200
C=6908
Option B is correct.
Answer:
b
Step-by-step explanation:
Find the volume ! Thanks
Answer:
Volume of cuboid = length × width × height
length = 20cm
width = 8cm
height = 15cm
Volume = 20cm × 8cm × 15cm
= 2400cm³
Volume of the cuboid is 2400cm²
Hope this helps.
Answer:
2,400cm³
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID= L×B×H
WHERE L IS LENGTH = 20cm
B IS BREADTH = 15cm
H IS HEIGHT=8cm
:• VOLUME= 20cm ×15cm × 8cm
= 2,400cm³
Classify the triangle by its angles. answers: A) Obtuse triangle B) Acute triangle C) Right triangle D) Equilateral triangle
Answer:
B) Acute triangle
Step-by-step explanation:
In acute triangles, all of the angles are less than 90°. This is true for this triangle :)
I hope this helps!!
Answer:
B) Acute triangle
Step-by-step explanation:
All the angles are less than 90 degrees so all the angles are acute
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
For an experiment, Marie brought a container filled with 30 grams of snow into a warm environment. After 5 minutes, 21% of the snow had melted. How many grams of snow were remaining in the container after the 5 minutes?
Which of the following circles have their centers on the Y axis
Answer:
Hi, please provide a photo or options to pick from. I will answer then.
Step-by-step explanation:
Divide using long division.
62 - 11y+
+15) = (y - 4)
Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
Answer:
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Step-by-step explanation:
Step(i):-
Given series
6+66+666+6666 + ... +666...66 up to 100 digits
Taking common '6'
6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)
Multiply '9' and divisible by'9'
[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]
Multiply inside '9'
[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]
Step(ii):-
we know that sum of geometric series
[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]
we know that
a + a + a+........n terms = n a
[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex] ....(i)
The sum of the 100 digits in geometric series
[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]
Now the equation (i)
The sum of the digits of the number
[tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]
Final answer :-
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Where is the blue dot on the number line?
Answer:
0.58 is where the blue dot on the number line is
Answer:
The blue dot is at -0.58
I could use some more help
Answer:
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
If
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
then
[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So; 2A - 4B becomes
[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Hence, 2A - 4B is equivalent to
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Write each repeating decimal using bar notation.
•2.034034...
•0.9222....
•0.7777....
Answer:
___
2.034
over .034
_
0.92
over 2
_
0.7
over 7
Step-by-step explanation:
Bar notation of 2.034034.... is [tex]2.\overline{034}[/tex], 0.9222... is [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]
What is bar notation for non terminating and recurring decimals?Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.
For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.
Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.
Bar notation of 3.33333... is written as [tex]3.\overline{3}[/tex]
Given decimal expansions are
a. 2.034034....
We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.
Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]
b. 0.9222....
We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.
Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]
c. 0.7777....
We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.
Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]
Also, learn more about decimal expansions from the link below:
https://brainly.com/question/17316823
#SPJ5
Square ABCD has a side length of 12 centimeters . Find the area of the square Type a numerical answer in the space provided Do not include units or spaces in your answer
Answer:
144
Step-by-step explanation:
Area of a square is [tex]s^2[/tex]
The side length is 12 cm.
[tex]12^2=144[/tex]
Therefore, the area of the square is [tex]144 \: cm^2[/tex].
Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2
A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president. What is the binomial coefficient of this study? Write the answer as a number, like this: 42.
Answer:
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Step-by-step explanation:
Step(i):-
Given data the researcher has obtained data that states that 45% of citizens are in favor of the president
probability of success 'p' = 45% or 0.45
q = 1-0.45 = 0.55
Given random sample size 'n' = 8
Let 'X' be the random variable
let 'X' = 6
[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]
[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]
P( X=6) = 28 × 0.00830 ×0.3025
P( X=6) = 0.070
Conclusion:-
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Answer:
28
Step-by-step explanation:
If f(x) = x2 and g(x) = 3x - 1 find [ gºf(x)
Answer:
gºf(x) = [tex]3x^2 -1[/tex]
Step-by-step explanation:
Given
f(x) = x2
g(x) = 3x - 1
To find
gºf(x)
To find gºf(x) we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)
lets do that
g(x) = 3x - 1
gºf(x) = 3(f(x)) -1
gºf(x) = [tex]3x^2 -1[/tex]
Thus, value of gºf(x) is [tex]3x^2 -1[/tex].
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle
Answer:
6 and 2
Step-by-step explanation:
6+6=12
2+2=4
12+4=16
Pls help me with this quick
Answer:
-9
y= x + 3
2
2
Step-by-step explanation:
its simple just follow my steps
Answer:
Step-by-step explanation:
[tex]g^{-1} (-3)=7\\[/tex]
let h(x)=y
y=2x-3
flip x and y
x=2y-3
2y=x+3
[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]
Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D
Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 greens?
Answer:
The answer would be just about 61% or 9/14
Step-by-step explanation:
So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.
The probability of getting 2 greens is 5/31
Probability is the likelihood or chance that an event will occur. It is expressed as:
Probability = Expected outcome/Total outcome
Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:
Total outcome = 4 + 3 + 5 = 12ballsIf green is picked at first, the probability of selecting a green is 5/12
If the second marble is picked and not replaced, the probabiity that it is green is 4/11 (4 greens remaining)The probability of getting 2 greens = 5/12 × 4/11
The probability of getting 2 greens = 20/132
The probability of getting 2 greens = 5/31
Hence the probability of getting 2 greens is 5/31
Learn more here: https://brainly.com/question/13604758
whats the difference between a sequence and a series?
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
What is the value of x?
Answer: 98 is your answer
Step-by-step explanation:
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
Vanessa has a lot of headbands. Twenty are pink, 32 are blue, and 16 are black. If she picks a headband at random, what is the probability that it will not be black?
Answer:
[tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
all headbands: 20+32+16 = 68
headbands that aren't black: 68-16 = 52
the probability: [tex]\frac{52}{68}=\frac{13}{17}[/tex]
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c= 5/9(F – 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
Consider the density curve below.
0.25
х
1
2
3
4
5
Find the percent of the area under the density curve where x is less than 4.
Answer:
Check Explanation.
Step-by-step explanation:
Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.
From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.
Total Area under the curve = ½×base×height
= ½ × (5-1) × 0.5 = 1 square unit
Area under the density curve where x is less than 4 is a trapezium.
Area of a trapezium = ½ (a+b) h
For the area under the density curve where x is less than 4,
a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3
Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit
In terms of the total area, Area under the density curve where x is less than 4 covers
(0.9375/1) × 100% = 93.75%
Hope this Helps!!!
PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Answer:
18 2-digit numbers.
Step-by-step explanation: There is
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)
hope this helps
Answer:
I believe the answer is 18 2 digit numbers
Step-by-step explanation:
I just counted them :)
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97
These are all the 2 digit numbers!