The relative frequency that a randomly selected student's favorite exhibit was either butterflies or trains is 0.025.
What is the formula for calculating the joint relative frequency?Assume you need to compute the joint relative frequency of a certain category inside a larger category.
Then there's the proportion of that specific category's frequency to the total frequency of that large category.
The sum of all the frequency of the survey is;
⇒12+25+17+6
⇒60
The relative frequency for butterflies:
⇒12/60
⇒1/5
⇒0.25
The relative frequency for the train:
⇒6/60
⇒1/10
⇒0.1
The relative frequency that a randomly selected student's favorite exhibit was either butterflies or trains is;
⇒0.25×0.1
⇒0.025
Hence the relative frequency that a randomly selected student's favorite exhibit was either butterflies or trains is 0.025.
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PLEASE HELP! WILL NAME BRAINLIEST!!
Answer:
Y = 60 degrees and X = 12
Step-by-step explanation:
x+3 and 15 are congruent so x+3 = 15, 12+3 = 15 therefore x = 12
y = 60 vertically opposite angles are equal. :D
Answer:
x= 12
y= 60
Step-by-step explanation:
to find x we need to know that lines DC and AB are parallel, so they have the same length (I don't know if that is why they have the same length, but I know they do lol)
So you can make this equation and solve:
15=x+3
-3 -3
12=x
THEN, to find y angle A and C are vertical angles, so they are congruent (this is the reason why they have the same measure lol)
So, y=60 degrees :)
I hope this sorta helps lol :)
(uploading to make sure it’s correct) i’ll give brainliest
Answer:
The median is 3 miles .....
Answer:
the median is 4 miles
list then from least to greatest and cross off a number from each side
Volume of cylinder. Use 3.14 as pi.
Answer: the exact volume is 1,357.168
Step-by-step explanation:
Answer:
1356.48 cm³
Step-by-step explanation:
V = πr²h
V = 3.14 × (6 cm)² × 12 cm
V = 1356.48 cm³
Solve for x
[tex]25x = 1250 \\ x = ?[/tex]
Answer:
[tex]25x = 1250[/tex]
[tex]\frac{1250}{25}[/tex]
x=50
x has value 50
Round 19.798 to the nearest tens place.
Answer:
20
Step-by-step explanation:
Hope this helps!!!!
If it is tens its 20
If it ins tenth its 19.8
To round 19.798 to the nearest tenth consider the hundredths’ value of 19.798, which is 9 and equal or more than 5. Therefore, the tenths value of 19.798 increases by 1 to 8.
19.798 rounded to the nearest tenth = 19.8
Answer:
19.8
Step-by-step explanation:
I'm not sure if you mean "tens" or "tenths" so I assumed "tenths".
If it was "tens" then it would be 20.
Crowned Brainly and will have 10 points. EMERGENCY!
Answer:
324ft^2
Step-by-step explanation:
rectangle: 22ft X 12ft = 264ft^2
trapazoid: 1/2(22+8)4 = 60ft^2
264 + 60 = 324ft^2
hope this helped!! :D
tell me if you need further explaination!
Which of the following are solutions to the equation below?
Check all that apply
(5x-2)² = 10
The solution to the equation is given by:
F. [tex]x = \frac{\sqrt{10} + 2}{5}[/tex]
What is the equation?It is given by:
[tex](5x - 2)^2 = 10[/tex]
First, we apply the square root to both sides to remove the square, hence:
[tex]\sqrt{(5x - 2)^2} = \sqrt{10}[/tex]
[tex]5x - 2 = \sqrt{10}[/tex]
Then, isolating x:
[tex]5x = \sqrt{10} + 2[/tex]
[tex]x = \frac{\sqrt{10} + 2}{5}[/tex]
Given by option F, which is the solution.
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find the mean median and mode. 63, 40, 51, 70, 36, 21, 51, 28, 19
The mean, median, and mode of the data will be 41.111, 40, and 51 respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.
The data is given below.
63, 40, 51, 70, 36, 21, 51, 28, 19
Arrange the data in ascending order, then we have
19, 21, 28, 36, 40, 51, 51, 63, 70
Then the mean of the data is given as,
Mean = (19 + 21 + 28 + 36 + 40 + 51 + 51 + 63 + 70) / 9
Mean = 379 / 9
Mean = 42.11
The median of the data is the middle term of the data which is 40.
The mode is 51 because the number frequency of 51 is the highest.
More about the statistics link is given below.
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In the graph below, Prepresents the pre-image and P' represents the image. This graph illustrates a reflection
over the .?
1+
P
a. Z-axis
b. xy-axis
Cy-axis
d. X-axis
Answer:
Hello! Just did the assignment! Your answer would be d. x-axis! Hope you stay safe! :)
Please help quick. 100 points ;)
Answer:
travel 2 hour stop 1 hour then again for 2 hours
Step-by-step explanation:
Answer:
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
Round to nearest tenth pls
Answer:
28.9
Step-by-step explanation:
what is the y intercept of . y = ½x -5
Answer: (0, 10) or 10
Step-by-step explanation:
plug 0 into y
(0) = 1/2x - 5
1/2x - 5 = 0
+ 5 + 5
1/2x = 5
* 2 * 2
x = 10
Need Help Need Help Pls
Part A: Create a scatter plot to represent the data shown above. Sketch the line of best fit. Label at least three specific points on the graph that the line passes through. Also include the correct labels on the x-axis and y-axis. Part B: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer. Part C: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.
It is to be noted that the scatter plot that represent the above data is attached accordingly.
What is a scatter plot?A scatter plot is a graph in which the data of two variables are displayed along two axes, and any association is revealed by the pattern of the resultant dots.
Remember Scatter plot is a type of x-y graphX is the horizontal line and will be the AgeY is the vertical lien and will be Weight
What is the Algebraic equation of the best fit line in slope-intercept form? [Part B]
Slope-intercept form is y = mx + b
m is the gradient of the line, determined by calculating "change of y divided by change of x"
Age 2 and weight 32 would be the point (2, 32) on the graphAge 8 and weight 60 is the point (8, 60) in the graphTo compute for the gradient (m) we say:
(60 - 32)/(8-2)
= 28/6
m = 4.667
Next we calculate for b
The point on the graph where the line crosses the vertical line is known as the y-intercept, or b. (y-axis).
Put one of the graph's points, say (2, 32), and the amount of m you just computed into the slope-intercept form to calculate b.
That is:
32 = m(2) + b
Recall that m = 4.667
Hence 32 = 4.667 * 2 + b
32 = 6.667 + b
b = 32 - 6.667
b = 25.33
Using the equation for the line of best fit what is the approximate weight of the little girl at an age of 14 years old? [Part C]Given that we have the figures for m and b,
Recall that the function is: y = mx + b; and that
If x = 14 years, then
y = 4.667 * 14 + 25.33
y = 90.668
y ≈ 91 kg.
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What is the measure of the smallest angle in the
diagram?
15°
299
32°
45°
Answer:
15
Step-by-step explanation:
it all comes down to 7x-1
then set that equal to 106 so it looks like 7x - 1 =106
106 - 1 = 105
105/7 = x
x = 15
good luck on your test
Answer:
Step-by-step explanation:
3-2i+8=23 can you solve this find what i equals
Answer:
i = -6
Step-by-step explanation:
3 - 2i + 8 = 23
3 + 8 - 2i = 23
11 - 2i = 23
11 - 11 - 2i = 23 - 11
-2i = 12
-2i ÷ -2 = 12 ÷ -2
i = -6
The Cookie Jar has a volume of 2 320cm3 and a height of 18cm. It is made of glass that is 3mm thick all the way around (including the base).
What is the capacity?
What is the volume of a sphere with a radius of 18 units?
A. 77767 units
B. 1296 units
C. 5832 units
D. 1944 units
It's C
how do u know what operation to use when solving for the slope like when do we add or subtract?
Answer:
We add for example when they give us something and words we already had keys we subtract when it exists as "we should"
I stayed up all night trying to figure out this question but I just can’t
This is sss congruence, just a heads up
Answer:
from what we're given on the drawing, ac and pt are congruent
and from the question format, ab is equal to pq, ac is equal to pr
The radius of a circle is 3 feet. What is the circle's area?
(PLEASE HELP!)
Answer:
28.27 I believe
Step-by-step explanation:
Answer:
28.26ft²
Step-by-step explanation:
A = πr²
plug in 3 for r
A = π(3²)
A = π(9)
A = 3.14(9)
A = 28.26ft²
PLEASE HELP ME!!!!! ITS AN EMERGENCY!!! PLEASE!!!
Answer:
i think G
Step-by-step explanation:
Answer:
G. rational numbers only
Step-by-step explanation:
asap! please help i’ll give brainliest
well it would make sense to say that the longest fish is 12in longer than the shorter fish because if you take 21in (the longest fish) and subtract 9 (the shortest fish) you would get 12.
Hope that helped pls give brainlist
Where is the function decreasing
Answer:
- 1,3
Step-by-step explanation:
because you can see it decrease at -3,1
Determine whether each given pair of end points lies on the same horizontal or vertical line. If so, find the length of the line segment that joins the pair of points. If not, explain how you know the points are not on the same horizontal or vertical line.
Answer:
[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]
They lie on the same horizontal line
Distance = 11 units
[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]
They do not lie on the same vertical or horizontal line
Step-by-step explanation:
Given
[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]
[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]
Required
Determine if the points lie on the same vertical or horizontal line
A point is represented as: [tex](x,y)\\[/tex]
For a pair to lie on the same horizontal line, then they must have the same x values i.e. [tex](x,y_1)\ and\ (x,y_2)[/tex]For a pair to lie on the same vertical line, then they must have the same x values i.e. [tex](x_1,y)\ and\ (x_2,y)[/tex]Using the above illustration, we have:
[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]
The above have the same x values (0), hence they lie on the same horizontal line.
The distance between them is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]d = \sqrt{(0-0)^2 + (-2 - 9)^2}[/tex]
[tex]d = \sqrt{0^2 + (-11)^2}[/tex]
[tex]d = \sqrt{0 + 121}[/tex]
[tex]d = \sqrt{121}[/tex]
[tex]d = 11[/tex]
The distance between them is 11 units
[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]
The above pair do not have the same x value and they do not have the same y value.
Hence, they do not lie on the same vertical or horizontal line
8. Find mED.
( The ED us and arc )
A 23.9 foot tall streetlight casts a shadow that is 17.7 feet long. How long is the shadow cast by a nearby parking meter that is 3.6 feet high?
Answer:
2.67 feet long
Step-by-step explanation:
Create a proportion where x is the length of the parking meter's shadow:
[tex]\frac{23.9}{17.7}[/tex] = [tex]\frac{3.6}{x}[/tex]
Cross multiply and solve for x:
23.9x = 63.72
x = 2.67
So, the parking meter's shadow is approximately 2.67 feet long
HELP PLZ
Lisa went to the store to buy shirts and pants. Shirts
were $5 each and pants were $15 each. She can
spend a total of $135.
Write an equation to represent the situation. Let s
represent the number of shirts and p represent the
number of pants.
Answer:
In this question you got multipel answers.
If she buys as much pants as she can;
135 - (15.p) = 5.s
135 - (15.9) = 0
so now she has bought no shirts and 9 pants.
if she buys as much shirts as she can;
135 - (5.s) = 15.p
135 - (5.27) = 0
so now she has bought no pants and 27 shirts.
If she wants a shirt for each pants the equation would look something like this;
p=s=x
135 - (15.x) = 5.x
but with each pants she can buy three shirts, so 9 = 3.3
(7.15)+(6.5)= 105+30= 135
so now she has 7 pants and 6 shirts.
The circumference of a circle is 22π in. What is the area, in square inches? Express your answer in terms of π
Answer:
A = 121 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2 * pi*r
22 pi = 2 * pi *r
Divide each side by 2 pi
22 pi / (2 pi) = 2 pi r / (2pi)
11 = r
Now find the area
A = pi r^2
A = pi (11)^2
A = 121 pi in^2
Need help with this math problem
Answer:
divide by 8
Step-by-step explanation:
Given m||n , find the value of x
Answer:
x = 17
Step-by-step explanation: