Answer:
z= 1.70 Since the test statistic is less than the critical value, we can conclude that the average length of an online video is not more than 8 minutes
a game is played with a circular spinner that contains 7 different colors. the design of the spinner is the order in which the colors are arranged. how many ways can this spinner be designed
Answer:
This spinner can be designed in 5040 ways.
Step-by-step explanation:
Number of possible arrangements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
In this question:
7 colors, so:
[tex]A_{7} = 7! = 5040[/tex]
This spinner can be designed in 5040 ways.
If you have a right triangle with legs a =6 and b= 8, what is the value of the hypotenuse? show work.
Answer:
10
Step-by-step explanation:
1. [tex]6^{2} + 8^{2} = c^{2}[/tex]
2 [tex]100 = c^{2}[/tex]
3. c = 10
find z-score for the standard normal distribution with mean 0 and standard deviation 1 with the probability 0.9850
Answer:
z-score=2.17
Step-by-step explanation:
We are given that
Mean, [tex]\mu=0[/tex]
Standard deviation, [tex]\sigma=1[/tex]
Probability, p-value=0.9850
We have to find z-score for the standard normal distribution with mean 0 and standard deviation 1 with the probability 0.9850.
To find the z score for the standard normal distribution we will use z-table.
From z- table we get
p-value =0.9850 when z -score=2.17
[tex]\implies[/tex]z-score corresponding to p-value=2.17
Therefore, the z-score for the standard normal distribution with mean 0 and standard deviation 1 with the probability 0.9850=2.17
R0,180 is the same rotation as ____.
R0,-180
R-90,180
R90,180
R0,90
Will mark BRAINLIEST !
Step-by-step explanation:
if u like this answer plz mark as brainlist
Angle formed by each blade = 40°
So, total angle formed by 3 blades
= 40° × 3 = 120°
Total angle of a circle = 360°
Ratio of angle formed by total circle to angle formed by the 3 blades
= 360° : 120°
= 360 : 120
= 3 : 1
Total area of circle
= πr²
= π(3m)²
= π9m²
Let the area of blades be x.
So, area of total circle : x = 3 : 1
= π9m² : x = 3 : 1
= π9m²/x = 3/1
= π9m²/3 = x/1
= π9m²/3 = x
= π3m² = x
So, the area of all three blades is π3m².
Using Suitable property Evaluate :
(10)3 – (2)³ – (8)3
Answer:
480
Step-by-step explanation:
(10)3- (2)3- (8)3
1000- 8- 512
= 480
Please mark mee brainlist....
Devaughn is 10 years older than Sydney. The sum of their ages is 104. What is Sydney's age?
I
Answer:
Sydney's age = 42
Step-by-step explanation:
104 divided by 2 = 52
52 - 10 = 42
I am sorry if this is wrong. But this is what I learned at my school.
4.8 yd
6 yd
1
4.5 yd
5 yd
7 yd
Find the volume of the composite solid. Round your answer to the nearest hundredth.
A. 244.36 B. 264.79 C. 304.51 D. 330.84
Answer:
A
Step-by-step explanation:
The composite solid is made up of a cone and a rectangular prism.
Volume of the composite solid = volume of the cone + volume of the rectangular prism
✔️Volume of Cone = ⅓*π*r²*h
Where,
r = 4.8 yd
h = √(6² - 4.8²) = √12.96 = 3.6 yd
Substitute
Volume of cone = ⅓*π*4.8²*3.6
= 86.86 yd²
✔️Volume of rectangular prism = l*b*h
Where,
l = 7 yd
w = 5 yd
h = 4.5 yd
Substitute
Volume of prism = 7*5*4.5 = 157.5 yd²
✔️Volume of composite solid = 86.86 + 157.6 = 244.4 yd² (which is close to 244.36 yd²)
ASAP!!!!!! SHOW WORK!!!! Thank you!!!!!!!!!
Its A trapezium
For Calculations Refer to the attachment
Answer:
SquareStep-by-step explanation:
Plot the points.
See the attached.
It is easy to calculate the length of sides and diagonals using the coordinates and the distance formula.
The sides are all equal to [tex]\sqrt{5}[/tex] units and the diagonals are both equal to [tex]\sqrt{10}[/tex] units.
This is a property of a square.
Find the length of AC
A. 12.84
B. 43.92
C. 12.28
D. 40.16
Answer: 40.16
Step-by-step explanation:
The length of the side AC will be 12.28 units. The correct option is C.
What is trigonometric indentity?
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Given that the hypotenuse of the triangle is 42 and the angle B is 17 degrees.
The side AC will be calculated as below:-
sin(47) = P / 42
AC = 42 x sin42
AC = 12.27
Therefore, the length of the side AC will be 12.28 units. The correct option is C.
To know more about trigonometric identity follow
https://brainly.com/question/7331447
#SPJ2
Write a linear equation in point slope form with the given slope of 1/4 and passing through the point (8,-3)
Answer:
The equation is
y=1/4x-3
Answer:
y = 1/4x - 5
Step-by-step explanation:
If gradient or slope (m) equal to 1/4
then y - y¹ = m( x - x¹) ..........(1)
where the line happen to be passing through the point given above
therefore let x¹ be 8.........(2)
and y¹ be -3...............(3)
substitute (3) and (2) into (1)
we have y -(-3) = 1/4 (x - 8)
so 4(y+3)= (x-8)
4y = x - 8 - 12
therefore y = 1/4x - 5
Which ratio represents the tangent of an angle?
a. adjacent/hypotenuse
b. opposite/hypotenuse
c. adjacent/opposite
d. opposite/adjacent
Answer:
option d.opposite / adjacent
Step-by-step explanation:
opposite /adjacent ratio represents the tangent of an angle .
hope it is helpful to you ☺️
Answer:
D.
Step-by-step explanation:
From the trigonometry shortcuts we can use the acronyms:
SOH CAH TOA
for an arbitrary angle Ф, plug in the length of the sides:
sin(Ф) = opposite/hypotenuse
cos(Ф) = adjacent/hypotenuse
tan(Ф) = opposite/adjacent
2. Caveman Sampson chases a saber tooth tiger at an average speed of 3 miles per hour. The tiger runs at an average speed of 5 miles per hour, but rests for 2 hours after running for 2 hours. How long, in hours, will it take Sampson to catch the tiger if the tiger starts 2 miles in front of him and they start running at the same time?
A. 7 hours B. 6 hours C. 5 hours D. 4 hours
9514 1404 393
Answer:
D. 4 hours
Step-by-step explanation:
The tiger will run (5 mi/h)(2 h) = 10 mi in 2 hours. That will put it 2+10 = 12 miles from Sampson's starting location.
Samson can run 12 miles in time ...
time = distance/speed = (12 mi)/(3 mi/h) = 4 h
Sampson will get to the tiger's location after 4 hours, just as the tiger is ending its rest period.
__
The graph shows the position of Sampson (red) and the tiger (blue) x hours after the chase starts. The distance (y miles) is measured from Sampson's starting point, assuming the tiger is running away.
a ball is thrown from a height of 4 feet with an intial upward velocity of 40 ft per second. The ball's height h (in feet) after t seconds is given by the following. h=4+40t-16t^(2 )Find the values of t for which the ball's height is 26 feet.
Answer:
Step-by-step explanation:
you need o solve 26=4+40t-16t^2
the equation becomes:
the equation becomes:-16t^2+40t+4-26=0
the equation becomes:-16t^2+40t+-22=0 or8t^2-20t+11=0
8t^2-20t+11=0, a=8 , b=-20 c=11 the discriminant =b^2-4ac=(-20)^2-4x8x11=48
t1=(20-squarootof48)/16 =13/16 =0.81 seconds t2=27/16=1.68 second I rounded my answers
It's camping season! Ernie and Bert set up their tents 15 m from
each other. Ernie has Tent 1 and Bert has Tent 2. The angle
between the line of sight from Bert's tent to the shower and the
line of sight from Bert's tent to Ernie's tent is 78 degrees. If
Ernie's tent is 19m away from the shower, is Bert 's tent closer or
further away from the shower and by how much? In your
calculations, round your angles to the nearest whole degree and
side measurements to the nearest tenth of a metre.
1
2
Answer:
The answer is "21.6".
Step-by-step explanation:
Let A stand for tent 1
Let B stand for tent 2
Let C be a shower
Using cosine formula:
[tex]c= \sqrt{b^2 +a^2 - 2ab\cdot \cos(C)}\\\\[/tex]
[tex]= \sqrt{(19)^2 + (15)^2 - 2\cdot 19 \cdot 15 \cdot \cos(78^{\circ})}\\\\= \sqrt{361 + 225 - 570\cdot \cos(78^{\circ})}\\\\ = \sqrt{586- 570\cdot \cos(78^{\circ})}\\\\= 21.6\\\\[/tex]
Therefore, you need to reduce the similarity from B to C which is the length from tent 2 to shower:
Tent 2 Distance to Dusk = 21.6m
Bert's tent is 21.6m away from the shower
if the r-value, or correlation coefficient, of a data set is 0.941, what is the coefficient of determination
Answer:0.824
Step-by-step explanation:
The coefficient of determination is approximately 0.885 or 88.5%.
What is the correlation coefficient?A correlation coefficient (r) is a number between -1 and 1 that measures the strength and direction of a linear relationship between two variables.
The coefficient of determination (R-squared) is equal to the square of the correlation coefficient (r).
Therefore, to find the coefficient of determination with an r-value of 0.941, we can simply square it:
R-squared = r² = 0.941² = 0.885481
Thus, the coefficient of determination is approximately 0.885 or 88.5%.
This means that 88.5% of the variation in the dependent variable can be explained by the independent variable(s) in the data set.
Learn more about the correlation coefficient here:
https://brainly.com/question/15577278
#SPJ7
Ivan and kate live 42 miles apart. ivan leaves his house at 8:00 a.m. and bikes towards kate's house at a constant speed of 12 mph. kate leaves her house at 9:30 a.m. but bikes towards ivan at constant speed of 18 mph. at what time will they meet?
Answer:
10:18am
Step-by-step explanation:
The time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph is 10:18 A.M.
How is the speed of a body, related to the distance it travels and the time it takes?The speed of a body is given as the ratio of the distance it travels and the time it takes. Thus, it can be shown as:
Speed = Distance/Time.
The other equations formed from this are:
Distance = Speed*Time
Time = Distance/Speed.
How to solve the question?In the question, we are given that Ivan and Kate live 42 miles apart.
We are asked for the time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph.
The time for which Ivan travels alone is from 8:00 A.M. to 9:30 A.M., that is, 1.5 hours.
The distance covered by Ivan at a constant speed of 12 mph during this time can be shown as,
Distance = Speed*Time,
or, Distance = 12*1.5 = 18 miles.
The distance left to be covered now is, 42 - 18 miles = 24 miles.
After 9:30 A.M., both Ivan and Kate are biking toward each other.
Thus, their relative speed moving toward each other is the sum of their speeds.
Thus, the relative speed = 12 + 18 = 30 mph.
Thus, the time taken by them after 9:30 A.M. to meet can be shown as:
Time = Distance/Speed,
or, Time = 24/30 = 0.8 hours = 48 minutes.
Thus, Ivan and Kate meet at 9:30 + 48 minutes = 10:18 A.M.
Thus, the time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph is 10:18 A.M.
Learn more about speed at
https://brainly.com/question/6504879
#SPJ2
Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.
Given:
The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).
PQ and PR are the adjacent sides of the parallelogram.
To find:
The coordinates of vertex S.
Solution:
We know that, the diagonals of a parallelogram bisect each other.
Let the coordinates of the vertex S are (a,b,c).
In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.
[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]
[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]
[tex]1+a=3[/tex]
[tex]a=3-1[/tex]
[tex]a=2[/tex]
Similarly,
[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]
[tex]2+b=2[/tex]
[tex]b=2-2[/tex]
[tex]b=0[/tex]
And,
[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]
[tex]1+c=-1[/tex]
[tex]c=-1-1[/tex]
[tex]c=-2[/tex]
Hence, the coordinates of vertex S are (2,0,-2).
Danielle needs to walk 3 miles. If she wants to reach her destination in 45
minutes ( hour), how fast does she need to walk?
A. 135 miles
per hour
B. 2.25 miles per hour
C. 15 miles per hour
D. 4 miles per hour
Answer:
4 miles per hour
Step-by-step explanation:
3 miles
Change the 45 minutes to hours
45 minutes * 1 hour/60 minutes = 3/4 hour
3 miles ÷ 3/4 hour
Copy dot flip
3 * 4/3
4 miles per hour
A set of triplets weighted 4lb 3oz , 3 lb 9oz and 4 lb 5 oz . What is the total weight of all three babies ?
Answer:
12 lb 1 oz
Step-by-step explanation:
Add the amounts together
4lb 3oz ,
3 lb 9oz
4 lb 5 oz
-------------------
11 lb 17 oz
But 16 oz is 1 lb so subtract 16 oz and add 1 lb
11 lb 17 oz
+1lb - 16 oz
--------------------
12 lb 1 oz
which of the following is q point slope equation of a line that passes through the point (5,2)and (-1,-6)
Answer:y - y1 = m(x + x1)
m = (y2 - y1)/(x2 - x1) = (-6 - 2)/(-1 - 5) = -8/(-6) = 4/3
y - 2 = 4/3(x - 5) is a possible answer
y + 6 = 4/3(x + 1) is also a possible answer
Step-by-step explanation:
can i be brainliest
Does anyone know this?
Answer:
C
Step-by-step explanation:
Rationalize the denominator by multiplying [tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]. The denominator will become 5, while the numerator will be 3[tex]\sqrt{100}[/tex]. This is equal to 30/5, which is 6.
Hope this helps!
Find the missing length indicatedOk
Answer:
x = 135
Step-by-step explanation:
6. A sporting goods store receives an order of 100 baseball caps, of which 22 are green. If 1 of
the 100 caps is selected at random, what is the probability it will not be green?
A. 39/50
B. 11/25
C. 11/50
D. 1/2
Answer:
[tex]\text{A. }39/50[/tex]
Step-by-step explanation:
The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.
Since there are 100 caps total and 22 are green, there must be [tex]100-22=78[/tex] non-green caps.
Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:
[tex]\frac{78}{100}[/tex]
Simplify by dividing both the numerator and denominator by 2:
[tex]\frac{78}{100}=\boxed{39/50}[/tex]
The slope of a line is −6. What is the slope of any line parallel to this line?
Answer:
-6
Step-by-step explanation:
Parallel lines have the same slope
If a line has a slope of -6, all lines parallel to this will have a slope of -6
I’ll give you Brainliest if you answer this!
Answer:
17
Step-by-step explanation:
PLZZZZZZ HELP WILL GIVE BRAIN THING AND EXTRA POINTS !What is the least common denominator of the rational expressions below?
Answer:
D is the least common denominator
13/16= (-5/4) + g
G= what
NEDD HELP NOW plz
❤❤❤❤PLEASE HELP ASAP AND BE CORRECT PLEASE❤❤❤❤
Answer: move each corner (where you see the right triangles) 2 units to the left and three units up. Then, draw the quadrilateral.
Step-by-step explanation:
A cone has a volume of 4000cm3
. Determine the height of the cone if the diameter of the cone
is 30 cm.
Answer:
17cm
Step-by-step explanation:
Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .
Diagram :-
[tex]\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(17.5,1.6){\sf{15cm }}\put(9.5,10){\sf{17\ cm }}\end{picture} [/tex]
Step 1: Using the formula of cone :-
The volume of cone is ,
[tex]\rm\implies Volume_{(cone)}=\dfrac{1}{3}\pi r^2h [/tex]
Step 2: Substitute the respective value :-
[tex]\rm\implies 4000cm^3 =\dfrac{1}{3}(3.14) ( h ) \bigg(\dfrac{30cm}{2}\bigg)^2 [/tex]
As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .
Step 3: Simplify the RHS :-
[tex]\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) (15cm)^2\\ [/tex]
[tex]\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) 225cm^2\\ [/tex]
Step 4: Move all the constant nos. to one side
[tex]\rm\implies h =\dfrac{ 4000 \times 3}{ (3.14 )(225 )} cm \\[/tex]
[tex]\implies \boxed{\blue{\rm Height_{(cone)}= 16.98 \approx 17 cm }}[/tex]
Hence the height of the cone is 17cm .
