Answer: 25.08%
Step-by-step explanation:
Given: Distance traveled by each volunteer driver is normally distributed.
Mean ([tex]\mu[/tex]) = 50 thousand miles
standard deviation ([tex]\sigma[/tex])= 12 thousand miles
Let X = distance traveled by each volunteer driver
Required probability : [tex]P(X<30)+P(X>60)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}][/tex]
Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%
Need help! Please!!
What is the solution to the following system of equations?
3x+2y=15
4x − 5y=−3
A (0.5, 1)
B (3, 3)
C (1, 5)
D) I don’t know
E (3, 2)
In scientific notation
Ryan buys 4 tacos for $5 and Maria buys 5 tacos for $8. Did they pay the same rate? Explain and show your reasoning? P.S im in a class right now so yeah.
Answer:
Step-by-step explanation: You must multuply the number of tacos by the money for all of them then you compare them and see if the see if they payed the same rate!P.S i'm in class too!!
Answer: They did not pay the same rate
Step-by-step explanation:
If they were to pay the same price the unit rate would be 1.25 but instead Ryan paid 1.25 for each taco and Maria paid 1.6 for each taco, which means they did not pay the same rate.
5x-4y=10
Solve for y plz Help
evaluate....
shafheahyfbejik5ewhdsa
Answer:
Step-by-step explanation:
Option B is the correct answer
Which formula represents this sequence 2,8,14...?
Answer:
[tex]a_{n}[/tex] = 6n - 4
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
8 - 2 = 14 - 8 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 6 , thus
[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4
Thus the formula representing the sequence is
[tex]a_{n}[/tex] = 6n - 4
Plz help me quickly
Answer:
0
Step-by-step explanation:
according to what is given:
K = 0
N = 3
I = -2
so just substitute in these values into the given equations and solve
KN + IK
0 * 3 + -2 * 0
= 0 + 0
= 0
how to multiply rational expressions?
pls help me...
Point :
A × B = B × A
Ex)
[tex] \frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{2} \times \frac{1}{4} [/tex]
_________________________________
a )
[tex] \frac{12 {a}^{2} }{25 {b}^{3} } \times \frac{5b}{4 {a}^{4} } = \frac{12 {a}^{2} }{4 {a}^{4} } \times \frac{5b}{25 {b}^{3} } = \\ [/tex]
[tex] \frac{4 {a}^{2} \times 3 }{4 {a}^{2} \times {a}^{2} } \times \frac{5b}{5b \times 5 {b}^{2} } = \\ [/tex]
[tex] \frac{3}{ {a}^{2} } \times \frac{1}{5 {b}^{2} } = \frac{3}{5 {a}^{2} {b}^{2} } \\ [/tex]
_________________________________
b )
[tex] \frac{ {x}^{2} - 2x - 15 }{ {x}^{2} - 9 } \times \frac{ {x}^{2 } - 6x + 9 }{4x - 12} = \\ [/tex]
[tex] \frac{(x - 5)(x + 3)}{(x - 3)(x + 3)} \times \frac{(x - 3)(x - 3) }{4(x - 3)} = \\ [/tex]
[tex] \frac{(x - 5)}{(x - 3)} \times \frac{(x - 3)}{4} = \\ [/tex]
[tex] \frac{(x - 3)(x - 5)}{(x - 3) \: \: \: \times \: \: 4} = \frac{x - 5}{4} \\ [/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
what equation is equivalent to x + 5 =12
Answer:
x=7
Step-by-step explanation:
subtract 5 from both sides
5-12= 7
so x=7
DUE SOON PLZ HELP ME WILL GIVE BRAINLEST
What is the slope of the line that passes through the points (9, -1)(9,−1) and (4, -11) ?(4,−11)?
Write your answer in simplest form.
Answer:
2=the slope
Step-by-step explanation:
I used my graphing calculator.
If 132 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.25 and total receipts for the concert was $384, how many of each went to the concert?
Answer
i'm pretty sure 64 people attended the concert.
Step-by-step explanation:
Tell me if this helped or not.
Which trigonometric expressions equal Negative one-half? Check all that apply.
cos(120°)
Sine (StartFraction 7 pi Over 6 EndFraction)
sin(–120°)
Cosine (StartFraction 7 pi Over 6 EndFraction)
Cosine (negative StartFraction 10 pi Over 3 EndFraction)
Answer:
Its A B E
Step-by-step explanation:
Got it on Edge
Jesse is saving the money he earns in his piggybank. He had already earned
$60 from previous work. He charges $15 to mow one lawn. After mowing 4
lawns, how much total money will he have in his piggybank?
Answer:
Jesse will have $120.
Step-by-step explanation:
First you need to set up your equation. We know Jesse has $60 already and that he charges $15 per lawn. Your equation will look something like this:
15x+60=?
Then you plug in the 4 lawns he did:
15(4)+60=
Then you solve and get 120! :)
PS Parenthesis mean you are multiplying. Same thing as saying
15 x 4 + 60= 120
f(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range:
Answer:
Below in bold.
Step-by-step explanation:
f(x) = -x^2 + 10x - 17
Convert to vertex form by:
f(x) = -(x^2 - 10x) - 17
= - [(x - 5)^2 - 25] - 17
= -(x - 5)^2 + 25 - 17
= -(x - 5)^2 + 8,
a. So axis of symmetry is x = 5.
b. Vertex is (5, 8) Max.
c. Domain is All real x.
d. Range is (-∞, 8].
What is the prime factorization of 135?
3 × 53
33 × 5
32 × 52
3 × 5 × 9
Answer:
3 x3 x 3 x 5
Step-by-step explanation:
Answer:
135 is a composite number.
135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.
Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.
Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5
Step-by-step explanation:
What is 108, 200, 000 in scientific notation?
What is the slope of this line?
Give your answer as a fraction in simplest terms.
Answer:
1/4 is the answer for this because the slope is 1 and 4 so this means it is going up at a 1/4 slope.
Answer:
The slope = 1/4
PLEASE HELP IM BEING TIMED!!
Then DS+ST=DT what is the property?
Options: A. Commen Sense
B. Substitution
C. Segment Addition
D. The Given
Answer:
hope you have a good day it is cccccccc
Twenty-seven is smaller than five times a number increased by seven.
Answer:
4
Step-by-step explanation:
4=x
5x+7 =27
27=27
:(((
PLZ HELP ME ASAP! ITS DUE TODAY!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!! What are the new vertices for A, B and C?
Answer:
A'(1,1) , B'(5,3), C'(2,5)
Explanation:
when you reflect anything over the line y = x, that is the same thing as taking the inverse(you swap the x and y values)
One architect designed 30 houses on Lackey Avenue, which is 60% of all the houses on that avenue. How many total houses are there on Lackey Avenue?
Answer: 50 houses
Step-by-step explanation: If there was 100 houses the 60 percent would be 60 houses but all they did was cut the number of houses in half to try and trick you.
someone help me with this answer please!!!
Answer:
C
Step-by-step explanation:
Both AB and AC have the length of 8, meaning that they're congruent.
This means that we have an isosceles triangle.
Angle B and Angle C are equal and all angles in a triangles add up to 180 degrees so:
30 + 30 = 60
180 - 60 = 120
So C would be your answer.
Please let me know if I'm incorrect :)
Answer:
120°
Step-by-step explanation:
This is an Isosceles triangle and that means angle C = angle B
Since the sum of interior angles in a triangle is equal to 180° the measure of angle A is = 120°
Lin rode her bike 2 miles in 8 minutes. How many miles did she go in 4
minutes?
Answer:
1 mile: 4 minutes
Step-by-step explanation:
This problem can be expressed with a simple ratio: 2:8
Now, thankfully the numbers are even so we just need to simplify the ratio to get our answer. Ratios work like fractions in that manner. So we just need to divide both sides by 2 to get the _:4 result.
This gives us a ratio of 1:4. Therefore, Lin travelled 1 mile in 4 minutes.
Two children are selling lemonade. They are charging $1 for a cup. They only sell 10
Number of cups
Number of
Number of cups
Number of cups
The graph that represents the given situation is
discrete or continuous
Answer:
you may be talking about this! the answer is (A) for this graph!
if not, let me know!
[tex] \binom{lim}{x -> 0} \frac{ \sin^{2} (x) }{x} [/tex]
I looked up how to do this, but I just dont understand how the internet explains it, I need a step by step simple explanation on how to do it.
Answer:
0
Step-by-step explanation:
To solve this without L'Hopital's rule, you need to use this identity:
lim(x→0) (sin x / x) = 1
lim(x→0) (sin²x / x)
lim(x→0) (sin x / x) (sin x)
lim(x→0) (sin x / x) · lim(x→0) (sin x)
1 · 0
0
Alternatively, since plugging in x=0 gets 0/0, we can use L'Hopital's rule. Replace the numerator and denominator with their derivatives.
lim(x→0) (sin²x / x)
lim(x→0) (2 sin x cos x / 1)
0
PLEASE IF YOU CAN HELP ME!!
Answer: y=-1/4x+3
Step-by-step explanation:
==================================================
Explanation:
y = mx+b is the general form of slope intercept equations
m is the slope, b is the y intercept
The y intercept is where the graph crosses the y axis. In this case it is at (0,3) so b = 3 is the y intercept
--------------------
The slope can be found through using the slope formula
m = (y2-y1)/(x2-x1)
m = (2-3)/(4-0)
m = -1/4
Or you could note that to go from (0,3) to (4,2) we must go down 1 and over to the right 4.
slope = -1/4 = rise/run
rise = -1 means we go down 1
run = 4 means we move to the right 4
--------------------
Since m = -1/4 and b = 3, we go from y = mx+b to y = (-1/4)x+3
Can someone tell me if idid this right i’m confused.
Pls help I didn’t get this one
Answer:
900
Step-by-step explanation:
( n − 2 ) × 180
n=sides
( 7-2)x180= 900
Order the numbers from least to greatest: 7, 18, 12, -16, -11, 1 *
Answer:
-16, -11, 1, 8, 12, 18
Answer:
-16,-11,1,7,12,18
Step-by-step explanation:
Negative numbers are smaller the farther away they are from zero. Positive numbers get bigger the farther away from zero they go.
Which list shows the integers in ascending order?
A. 5, 4, -5, -4, 0
B. 0, 4, 5, -4, -5
C. -4, -5, 0, 4, 5
D. -5, -4, 0, 4, 5
Answer:
D
Step-by-step explanation:
Ascending means they are moving upwards.