About 68%
Given : The mean speed of a sample of vehicles along a stretch of highway is 66 miles per hour, with a standard deviation of 4 miles per hour.
i.e.
We assume the data set has a bell-shaped distribution (i.e. Normal distribution).
To find : The percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.
i.e . The percent of vehicles whose speeds are between miles per hour and miles per hour.
i.e . The percent of vehicles whose speeds are between miles per hour and miles per hour.
i.e. i.e . The percent of vehicles whose speeds are within one standard deviation from the mean.
According to the Empirical rule , about 68% of the population lies within one standard deviation of the mean.
It means , about 68% of vehicles lies within one standard deviation of the mean.
i.e . About 68% of vehicles whose speeds are between miles per hour and miles per hour.
i.e . About 68% of vehicles whose speeds are between miles per hour and miles per hour.
⇒ About 68% of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.
Help! Please please please
Step-by-step explanation:
3x+2x=180
5x=180
x=36°
can you relate this lesson to your real-life situation
Answer:
This is nothing related to real life. The only thing is it helps with trigometry, programming shapes, and so on
Step-by-step explanation:
can anyone solve this for me?d/dx x/root (1+x^2)
ps. the 1+x^2 part is inside the root
using quotient formula
-2+{3+[4+2-(-3)]-5+8)}
Answer:
13
Step-by-step explanation:
−2+3+4+2−(−3)−5+8
=1+4+2−(−3)−5+8
=1+6−(−3)−5+8
=1+9−5+8
=10−5+8
=5+8
=13
A rectangular room is 14 feet by 20 feet. A rectangular rug is placed in the room so that a 2-foot border of floor around the edge of the room is not covered by the rug. What is the area of the rug?
Answer:
the rug should be 10 feet by 16 feet
this makes the area 160 foot squared
Step-by-step explanation:
there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.
160
top correct lolssssss
Find the first 3 terms of arithmetic sequence if t5=-154 and t9=-274. find t1, t2, t3
Answer: t1 = -34; t2 = -64; t3 = -94
d is the distance between numbers (d > 0)
we have:
t5 = t1 + 4d = -154
t9 = t1 + 8d = -274
we have the equations:
t1 + 4d = -154
t1 + 8d = -274
<=> t1 = -34
d = -30
with t1 = -34 and = -30 => t2 = -34 - 30 = -64
t3 = -64 - 30 = -94
Step-by-step explanation:
a line passes through the point (-8,5) and has a slope of 5/4 write an equation in slope intercept form
A can of dog food is on sale for 20% off the original price. If the original price is 1.35, what is the discount?
Answer:
You will pay $1.08 for a item with original price of $1.35 when discounted 20%
Step-by-step explanation:
Math answer:
3(3+2)-s=38
Answer:
s = negative23 ( -23)
Step-by-step explanation:
3(3 +2 ) - s = 3(5) - s
15 - (-23) = 38
hope this helped!
What is the volume of David’s box?
Answer:
H - 6x^7y^15
Step-by-step explanation:
Volume of a rectangular prism (box) is l x w x h
3x^2y^4 * 4x^2y^5 * 1/2x^3y^6
= 6x^7y^15
What is the measure of XYZ?
Answer:
a. An inscribed angle is 1/2 the intercepted arc. The intercepted arc is 68°. The measure of angle xyz is therefore 34°.
Answer:
34 degrees
Step-by-step explanation:
Pl help it’s for a grade
What is the value of the expression shown below?
7 + (10 − 4)2 ÷ 4 × 1 over 2 to the power of 3
Please help me with this question please help me I beg you
Step-by-step explanation:
Given
f(x) = 5 / 2x - 1
f^-1( x) = ?
Let
y = f(x)
y = 5/2x - 1
Interchanging the roles of x and y we get
x = 5/2y - 1
2y - 1 = 5/x
2y = 5/x - 1
y = (5/x - 1)/ 2
f^-1(x) = ( 5/x - 1) / 2
Hope it will help :)
Which of the following points is on the y-axis? Select all that apply.
Group of answer choices
(-1, 4)
(0, 2)
(5, 0)
(4, -1)
(0, -8)
(-9, 0)
Answer: (0,2) and (0, -8)
Step-by-step explanation:
Ax + By=C
solve for x
make a graph on f(x)=−3/2(x+1)(x−5)
Answer:
explanation below
Step-by-step explanation:
f(x) = −3/2(x+1)(x−5) = -3/2 (x²-4x-5) = -3/2 (x²-4x+4-9) = -3/2 ((x-2)² - 9)
f(x) = -3/2 (x-2)² + (-3/2)*(-9) = -3/2 (x-2)² + 13.5
There are points to be referenced for the graph:
vertex (2 , 13.5) axis of symmetry: x = 2
roots: (-1 , 0) (5 , 0)
-3/2 : curve downward
Plz help its a riddle
Answer:
30
Step-by-step explanation:
the shoe=20
the person=5
the glasses=2
20+5×2
PEMDAS
5×2=10
10+20
=30
Answer:
The ans is 30
Step-by-step explanation:
the is shoe=20
the is person=5
the is glasses=2
20 shoes +5 people×2 glasses
5×2=10
10+20
=30
(hope this helps can i plz have brainlist :D hehe)
the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age
Answer:
A+S=22
A=S/2+4
Multiply second equation by 2 and rearrange.
2A-S=8
Add equations 1 and 3.
3A=30
A=10
Substitute for A in either of the first 2 equations to get
S=12
Step-by-step explanation:
how do you solve 3x-7 over 3
Answer: x - 7/3
Step-by-step explanation:
I think thats the farthest you can go with this problem
Answer:
Let's simplify step-by-step.
3x−7^3
=3x−343
Step-by-step explanation:
  Please help this is due today please i really need help it’s due in 5 hours!!!
Given parallelogram FGHI determine the missing information
Don’t answer with one answer, blank or ridiculous answer please this is serious
Answer:
y = 3 cm and x = 2.5 cm
Step-by-step explanation:
As we can see it is a parallelogram so
y = 3 cm (being opposite sides of parallelogram)
Now while calculating the diagonal we can use the Pythagoras relation. i.e
perpendicular (p) = 4 cm (IH)
Base (b) = 3 cm (FI)
Hypotenuse (h) = FH = ?
We know by using Pythagoras theorem
h = √ p² + b²
= √ 4² + 3²
= √ 25
= 5 cm
Here we got FH = 5 cm
so the value of x will be 2.5 cm as the diagonal bisects.
Hope it will help :)
the store offers a 20% discount, The t- shirt is $18 and the discounted price is $3.60 ?
If the regular price for an item is x dollars, what is the discounted price? (Hint: write an expression)
Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.
Pls help this is my last points
Answer:
520 - 10x = 380
Step-by-step explanation:
x= 14
Answer:
520-10x=380
x = 14
Step-by-step explanation:
ginny brought 2.2 pounds of banana at a cost of 0.49 per pound + 1.3 pounds of grapes at a cost of 1.29 per pound what was the total cost of the bananas and grapes Ginny purchase
Answer:
IP 2.2 pounds of a banana at the cost of a foreign body 120 pounds of graphs are at the cost of a point on the total cost of the
Ed and Greg are working on their math homework. Ed says (2.0) is a solution to y < 4x - 8. Greg disagrees and says (2,0) is not a solution
Who is correct and why?
Answer:
sorry I dont know
Step-by-step explanation:
A disc has a radius of 31 cm. What is the circumference of
the disc, rounded to the nearest whole number? (Convert the
fraction to a decimal)
A.38 cm.
B.154 cm
C.22 cm
D.11 cm
Answer:
22 cm
Step-by-step explanation:
radius is 3 1/2 cm, which is 3.5 in decimal form
the circumference comes out to be 21.99, which is rounded to 22.
5 x − 1 ≤ 2 Give your answer as a fraction in its simplest form
Answer:
x ≤ 3/5
Step-by-step explanation:
5 x − 1 ≤ 2
Add 1 to each side
5 x − 1+1 ≤ 2+1
5 x ≤ 3
Divide each side by 3
5 x /5 ≤ 3/5
x ≤ 3/5
Hi can anyone help me? :)
Answer:
[tex]d(n) = - ( {7}^{n - 1} )[/tex]
whoever answers it gets 5 staars
Answer:
the line crosses the y-axis below the origin
Step-by-step explanation:
How can we get system B for system A?
And
Are the systems equivalent?
Answer: Subtract the equations in system A.
=============================================================
Explanation:
The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.
There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.
For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y
So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.
Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.
Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.