Answer:
Ana runs at a speed of 7.5 miles per hour
Step-by-step explanation:
Speed
Is the rate at which the distance changes in time.
The formula to calculate the speed is:
[tex]\displaystyle v=\frac{d}{t}[/tex]
Where d is the distance traveled in time t.
We know Ana runs a distance of d=3/4 miles in 6 minutes, already converted to t=1/10 hours.
Thus, the speed is calculated as follows:
[tex]\displaystyle v=\frac{\frac{3}{4}}{\frac{1}{10}}[/tex]
Multiplying by the reciprocal of the denominator:
[tex]\displaystyle v=\frac{3}{4}\cdot \frac{10}{1}=\frac{30}{4}[/tex]
v=7.5 mile/h
Ana runs at a speed of 7.5 miles per hour
Your school wants to test the fire alarm system during the two hour period between 9:00 a.M. And 11:00 a.M. The probability of testing the fire alarm during this period is uniformly distributed that is X∼U(0,120). Find the probability that you have to wait more than 30 minutes, that is, find P(X>30).
Answer:
The probability is [tex]P(X>30)=0.75[/tex]
Step-by-step explanation:
We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].
We need to find [tex]P(X>30)[/tex]
Given a continuous random variable [tex]X[/tex] with distribution :
[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers
The probability density function is :
[tex]f_{X}(x)=\frac{1}{b-a}[/tex] if x ∈ (a,b)
[tex]f_{X}(x)=0[/tex] if x ∉ (a,b)
In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :
[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)
[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)
If we want to find [tex]P(X>30)[/tex] we need to perform the integral
[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]
Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞
Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.
If we perform this integral ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]
Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]
Some of Amber's daily activities are listed here. Use these descriptions to select the word or symbol that correctly completes each sentence. • Amber spends 3/16 of each day doing homework. • Amber spends 0.25 of each day at school. • Amber spends 1/3 of each day sleeping. (A) 3/16 of a day 0.25 of a day (B) 0.25 of a day 1/3 of a day (C) Amber spends time doing homework than she does at school. (D) Amber spends time sleeping than she does at school.
Answer: (D) Amber spends time sleeping than she does at school.
Step-by-step explanation:
Given that :
• Amber spends 3/16 of each day doing homework.
• Amber spends 0.25 of each day at school.
• Amber spends 1/3 of each day sleeping.
Hence,
Amber spends 0.1875 of a day doing homework, which is (0.1875 * 24) = 4.5 hours
0.25 of each day at school ; (0.25 * 24) = 6 hours
1/3 of each day sleeping ; (1/3 * 24) = 8 hours
Time spent sleeping = 8 hours
Time spent in school = 6 hours
The mean undergraduate cost for tuition, room, board and fees for four-year colleges in the United States was found to be $26,489, with a standard deviation of $3204. If 36 of the four-year colleges are randomly sampled, find the probability that the mean cost for the sample schools is:
Answer:
0.1787
Step-by-step explanation:
It is given that the mean cost of undergraduate program for a four year institutions for tuition, rooms fees and board was =$26,489
And the minimum standard deviation is given as σ = $ 3204
So, the mean normal deviation is , μ = 26,489
and the standard deviation is, σ = 3204
Thus, the probability of the mean cost for sample schools is 0.1787
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
120
Step-by-step explanation:
solve for x then substitute
Answer:
m<WTS = 9 degrees
Step-by-step explanation:
<WTS = <TRS + <TSR By exterior <'s
14x-6=7x-9+66 Substitute
7x=63 Algebra
x=9
Can somebody please help me answer this question?
Answer:
x = 60°
Step-by-step explanation:
Step 1:
Triangles = Equilateral Triangles Given
Step 2:
3x = 180 Equation
Step 3:
x = 180 ÷ 3 Divide
Answer:
x = 60°
Hope This Helps :)
Mario ran 12 kilometers. One mile is approximately equal to 1.6 kilometers. How many miles did Mario run?
(I'm new, I don't know why it says High School)
Answer:
19.2
Step-by-step explanation:
12x1.6=19.2
Answer:
7.5 miles
Step-by-step explanation:
if one mile = about 1.6 km then you would take the 12 and divide it by 1.6 which will give u 7.5 miles
(also it says high school because of the grade you probably put in)
3 power 4 x 9 power 2
Answer:
3⁴×9²
81×81
6561...............
An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step. (5 points)
PLZ Someone help
Find the measure of angles 3 and 4
Answer: 3 =92
4 = 88
Step-by-step explanation: because angle 4 = 180-42+46 = 92 and angle 3 is 180-92 = 88
Answer:
∠3=88 , ∠4=92
Step-by-step explanation:
∠4 + 42° + 46° = 180° (angle sum property of a triangle)
∠4 + 88° = 180°
∠4 = 180° - 88°
∠4 = 92
∠3 + ∠4 = 180° (linear pair)
∠3 + 92° = 180°
∠3 = 180° - 92°
∠3 = 88°
The area of a rectangular park is same as area of a square park. If the length
of the rectangular park is 24.5 m and the side length of the square park is 14m,
find the breadth of the rectangular park?
Answer:
8mStep-by-step explanation:
Step one:
given data
length of rectangle= 24.5m
let the width be x
width of square= 14m
let the length be x
Step two:
we know that the area of a rectangle is
Ar= Length * width
Ar=24.5*x-----------1
Also, the area of the square is
As= Length * width
for square L=W
As= 14*14-----------------2
As=196m^2
equating 1 and 2 we have
14*14=24.5x
196=24.5x
divide both sides by 24.5
x=196/24.5
x=8m
The Breadth/width of the rectangular park is 8m
Pick A Random Number Between 1-40 if i pick your number and you get it right then you get brainliest.
Answer:
32
Step-by-step explanation:
Given GK = XZ and GH = XY, which statement must be true? m∠G > m∠X m∠G < m∠X HG = XZ HK = YZ
Answer: B
m<G<m<x
Step-by-step explanation:
Just did it
Answer:
the second choice is correct B)m∠G < m∠X
Step-by-step explanation: got it right on edge 2020
The distance from Houston to
Galveston is about 50 miles. If there are
1.6 kilometers in a mile, what is the
distance from Houston to Galveston in
kilometers?
Answer:
distance from Houston to Galveston in kilometers will be: 80km
Step-by-step explanation:
Given
The distance from Houston to Galveston is about 50 miles.
i.e.
Kilometers in 1 Mile = 1.6 km
As the distance from Houston to Galveston is about 50 miles, so
The distance from Houston to Galveston in kilometers will be:
50(1.6) = 80 ∵ Kilometers in 1 Mile = 1.6 km
Therefore,
The distance from Houston to Galveston in kilometers will be: 80km
Which of these statements are correct? Select TWO that apply.
Answer:
3 and 1
Step-by-step explanation:
Answer:
last one and third to last one
Step-by-step explanation:
just trust me mate
Hector's family went to the beach. They got to the beach at 11:00 A.M. and swam in the ocean for 1 hour. Then they built sandcastles for 1 hour and 30 minutes and played volleyball for 1 hour before heading home. What time was it when Hector's family left the beach?
Answer:
They left the beach at 2:30
Step-by-step explanation:
what is 100 divided by 3?
A. Thirty three point 3
B. 33.3
C. 33.3333333333333333333
D. 4
E. ???
Answer:
C 33.3333333333
Step-by-step explanation:
Answer: dude it’s c
Step-by-step explanation: 33 1/3 = 33.3333333333333
y = 5x² + 3x
(Find the axis of symmetry and the vertex of the graph of the function)
Answer:
y = 5x² + 3x
(5x) x (5x) = 25x
y = 25x + 3x
25x + 3x = 28x
y =/= 28x
( =/= ) <---- is supposed to be the non equal sign
A rectangle has a length of 31 inches less than 3 times its width. If the area of the rectangle is 984 square inches, find the length of the rectangle.
Answer:
41 inches
Step-by-step explanation:
The formula for Area of a rectangle is ;
A = L × W
L = Length
W = Width
A rectangle has a length of 31 inches less than 3 times its width.
L = 3W - 31
If the area of the rectangle is 984 square inches, find the length of the rectangle
Hence,
984 = (3W - 31) × W
984 = 3W² - 31W
Hence
3W² - 31W - 984
3W(W - 24) + 4(W - 24) = 0
(3W + 41)(W - 24) = 0
W - 24 = 0
W = 24 inches
We have to find the Length
L = 3W - 31
L = 3(24) - 31
L = 72 - 31
L = 41 inches
The Length = 41 inches
The Length of the rectangle is 41 inches
y=4x+5 in point-slope form
Answer:
Step-by-step explanation:
Answer:
( 0, -1 ) and ( 1, -1 )
Step-by-step explanation:
I hope this helps you out!
Solve the equation algebraically
-|x+3|=-2
Answer: x=-1; x=-5
Step-by-step explanation:
1) [tex]-|x+3|=-2[/tex]
2)[tex]|x+3|=2[/tex]
3) [tex]x+3=2[/tex] or [tex]x+3=-2[/tex]
4) [tex]x=-1; x=-5[/tex]
Factor the polynomial completely
[tex]x {}^{2} + 2x - 63[/tex]
"-3 = 9/5c + 32" help with finding c pls!! i need it as a decimal btw.
Answer:
-3=9/5c +32
-3*5c=9/5c*5c+32*5c
-15c=9+160c
-15c -160c =9
c(-15-160)=9
c(-15-160)/(-15-160)=9/(-15-160)
c=9/(-15-160)
please help me! i will give brainliest!
Answer:
Step-by-step explanation:
Apply the distributive property to create an equivalent expression.
(10x+20y+10z)
Answer:
I think the answer is 40.
Step-by-step explanation:
Multiply mixed numbers 5 times 1 3/4=
Answer: 8.75 is your answer
Answer:
8 3/4
Step-by-step explanation:
the soloutions to the equation 2x^2 + x - 1 = 2 are x= -3/2 or x=___
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
Subtracting 2 puts the equation in standard form:
2x^2 +x -3 = 0
The product of the solutions is the ratio of the constant term to the leading coefficient: -3/2.
For solutions -3/2 and 'p', we have ...
-3/2p = -3/2
p = 1
The other solution is x = 1.
what are the statements and reasons?
Answer:
A statement is an equation or expression describing the geometrical shape. The reason is the reason for that statement, like "Definition of a straight angle."
Step-by-step explanation:
in the box of decorations there are a number of four bubbles all of them are blue except for six of them are green except for six of them are red except for 6 how many bubbles do I have in total
Answer:
Step-by-step explanation:
But y’all don’t know where Megan at
Help please tysm guys <3
Answer:
5 is less than or equal to 5/2x+5
Step-by-step explanation:
It is less than or equal to because the shaded part is below the line and the line is solid.
[tex] \frac{2}{6} + \frac{1}{8} [/tex]
help please I forgot how to do this