Answer:
a) 0.30854
b) 0.21186
c) 0.23468
Step-by-step explanation:
Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes.
We solve using z score formula.
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Find the probability that a randomly selected customer will have to wait
a) less than 25 minutes
for x < 25 minutes
z = 25 - 30/10
z = -0.5
Probability value from Z-Table:
P(x<25) = 0.30854
b) more than 38 minutes
For x > 38 minutes
z = 38 - 30/10
z = 0.8
Probability value from Z-Table:
P(x<38) = 0.78814
P(x>38) = 1 - P(x<38) = 0.21186
c) between 26 and 32 minutes
For x = 26 minutes
z = 26 - 30/10
z = -0.4
Probability value from Z-Table:
P(x = 26) = 0.34458
For x = 32 minutes
z = 32 - 30/10
z = 0.2
Probability value from Z-Table:
P(x = 32) = 0.57926
The probability that a randomly selected customer will have to wait between 26 and 32 minutes is calculated as:
P(x = 32) - P(x = 26)
= 0.57926 - 0.34458
= 0.23468
Identify the slope and p-intercept of the
equation 2x + 5y = 20
Answer:
slope: -2/5
y-intercept: (0,4)
Step-by-step explanation:
Hello does anyone know how to figure this out? - 3(4 + x) = x + 6
Answer:
-4.5
Step-by-step explanation:
-12-3x=x+6
-4x=18
x=-4.5
Answer:
-4.5=x
Step-by-step explanation:
First you would distribute the -3 to the 4 and x inside the parentheses
It would be -3 x 4= -12
Then -3 x X= -3x
So your equation would now be -12+ -3x = x + 6
Now you add 3x to the -3x to cancel it out and then add it to the x
So your equation now looks like -12=4x +6
Then you subtract 6 from the 6 to cancel it out and add it to the -12
Now your equation looks like -18=4x
Then you divide 4 from the 4x to cancel it out and then divide 4 from the -18
Finally you have -4.5=x
I'm unsure if this is correct but hopefully this helps :)
Does anyone know how to solve this ?
9514 1404 393
Answer:
see below
Step-by-step explanation:
Make use of the quadratic formula.
For equation ax² +bx +c = 0, the solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here, you have a=1, b=-1, c=1, so the solutions are ...
[tex]x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(1)(1)}}{2(1)}=\dfrac{1\pm\sqrt{1-4}}{2}=\dfrac{1\pm i\sqrt{3}}{2}\\\\\boxed{x=\dfrac{1+i\sqrt{3}}{2}\text{ and }x=\dfrac{1-i\sqrt{3}}{2}}[/tex]
How many solutions does the equation have -2 (-4x + 7) = -2 + 4x One Solution Infinite Solutions No Solution?
please help me with this question
Answer:
angle one equals 114
Step-by-step explanation:
180-66=114
Answer:
114
Step-by-step explanation:
a straight line is 180 degrees and so you subtract 66 from 180 and you get 114
I need help please help me pu
Answer:
D: x=12
Step-by-step explanation:
Are these two expressions equivalent 4y+7-3y=4y+3y-7
Answer:
yes!
Step-by-step explanation:
4y+7-3y=4y+3y-7
Answer:
no
Step-by-step explanation:
4y+7-3y
y=7
4y+3y-7
y=-1
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Which number sentence is true?
Answer:
A 8.565 < l-13.23l
Step-by-step explanation:
Because the brackets makes the -13.23 positive
Estimate 73% of 23.95
Answer: 304.8
Step-by-step explanation;
7300:23.95 = 303.8
Answer:20
Because I looked it up
-78-(-15) =
Answer I need it quickly can you draw out an answer I’m confused on my home work
Answer:
answers are done below.
Evaluate for f(-2).
f(x) = 8x-10
Answer: f(-2) = -26
Step-by-step explanation:
Substitute -2 in x, it would look like:
8(-2) - 10
-16 - 10
= -26
Can you answer at least one
Answer:
15. 88%
Step-by-step explanation:
I did division
Answer:
16. is 11550
Step-by-step explanation:
the width of a rectangle is fifteen feet less than the length . if the area of the rectangle is 54 square feet , find the width .
a. 3 ft
b. 6ft
c. 9 ft
d. 18 ft
Answer:
A
Step-by-step explanation:
A. 3 x 18 = 54
B. 6 x 21 = 126
C. 9 x 24 = 144
D. 18 x 33 = 594
2(x+2)^2-5=8 solve using square roots
Answer:
x=[tex]\sqrt 26[/tex]/2-2
Step-by-step explanation:
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 3 : 4. Find the number of blue marbles in the bag.
Answer:
16
Step-by-step explanation:
3 divided into 12 =4
4x4=16
4 divided into 16 =4 so 16
A square parking lot has an area of 12,996 square yards. a. What is the length of one side of the parking lot? b. How many yards of fence will it take to enclose the entire parking lot?
Answer:
114 yards
456 yards
Step-by-step explanation:
Given that:
Area of square parking lot = 12,996 square yards
The lenght of one side of the parking lot :
Area of a square = a² ; a = side length
Hence ;
12996 = a²
√12996 = a
114 = a
Hence, length of one side = 114 yards
Yards of fence needed to enclose parking lot :
Perimeter of a square = 4a ; a = side length
Perimeter = 4(114)
Perimeter = 456 yards
Somebody correct this please..
Answer:
the third option is correct
Step-by-step explanation:
[tex]x=1[/tex]
Can someone help plz
Answer:
See explanation
Step-by-step explanation:
x f(x)
-2 -5.9375
-1 -5.75
0 -5
1 -2
2 10
x intercept : -5
y intercept : -6
If yall help me with all the answers ill give you 32 points. Ik this is easy but I'm too lazy to do this. someone help me, please.
Answer:
100-both
75-5
565- 5
2815- 5
10050- both
57- 3
1365- 3
14- 2
81- 3
3850- 2
333- 9
1125- 9
448- 8
630- 9
5496- 8
114- 6
21,750- 6
3580- 4
2528- 4
944- 4
Step-by-step explanation:
molly’s hair was 20 inches long three years later it was 35 years long what was the percent increase to the nearest hundredth
Answer: 75%
Step-by-step explanation:
Help please ASAP !!
!!!!
Answer:
im gonna say 23 or 24 not 100% sure
Step-by-step explanation:
Which expressions are equivalent to 5+ (-3)(6x – 5)?
Choose all answers that apply:
А
18x - 20
B.
3x - 3
None of the above
Hello
5 + ( -3) ( 6x - 5 )
= 5 - 3*6x + 5*3
= -18x + 20
Good day. ;)
Answer:
None of the above
Step-by-step explanation:
I got it correct.
PLEASE HELP
10 POINTS!
Answer:
point c is right answer
Step-by-step explanation:
you can also count after -7 d is at -5 the number and then c is located between -7 and -8 so its -7.75
can someone answer this for me please i’m desperate
Answer:
The Y-Intercept is (0,1)
solving equations with variables on each side y-11=25-3y
y=?
explain
Answer:
y = 9
Step-by-step explanation:
y - 11 = 25 - 3y
y + 3y = 25 + 11
4y = 36
y = 9
Please mark me the brainliest!?!
Question 7
10 pts
Find the length of the missing side. Round to the nearest tenth (one decimal place).
7
loo
Answer:
its 93 -_-
Step-by-step explanation:
If its wrong sorry
Which angle or angles are co-terminal with 175 degrees? All angles below are in degrees. (Select all that apply.)
-185
-175
5
355
535
895
PLEASE HELP URGENT‼️‼️
Tonia was simplifying the expression: (3x)2 . x4. She wrote 3x8 as the
simplest form.
——————————————
Part A) Simplify the problem correctly.
——————————————
Part B) Describe the error(s) that Tonya made.
Part A
(3x)^2*x^4
(3x)*(3x)*x^4 .... expand out (3x)^2
(3*3)*(x*x*x^4)
9x^6
Answer: 9x^6
============================================
Part B
It appears that Tonya forgot to square the 3 term and had this as her steps
(3x)^2*x^4
3x^2*x^4
3x^(2*4)
3x^8
Which is incorrect as the answer in part A indicates.
Not only is the '3' part wrong, but also the exponent of 8. Instead of multiplying the exponents, she should have added them.
The rule is a^b*a^c = a^(b+c). In this case, a = x, b = 2 and c = 4.
So x^2*x^4 = x^(2+4) = x^6
Find the slope of the line that passes through (8,4) and (6,5)
Answer:
-1/2
Step-by-step explanation:
The equation for slope is y2 - y1 and x2 - x1. So you do 5(y2) - 4 (y1) which is 1. And 6(x2) - 8(x1) which is -2. Put 1 as the numerator and -2 as the denominator as you got -1/2. The fraction is negative because the -2 made it that way
. 4/2y - 31 - 1 = 11
Answer:
the correct answer is
y = 42
hope this helped :)