Answer:
5.48% of the people in line waited for more than 28 minutes
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that [tex]\mu = 20, \sigma = 5[/tex]
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 20}{5}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes
One of the two answers is wrong please help guys
Answer:
The first answer is right (18). Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.
Step-by-step explanation:
A number is 3 1/3 greater than another. If the sum of the numbers is doubled, the result in 19 1/2. What is the smaller number?
Answer:
77/24
Step-by-step explanation:
Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)
What is the surface area of the cylinder with height 7 ft and radius 3 ft? Round your answer to the nearest thousandth.
"I think of a number, take away 1 and multiply the result by 3."
Answer:
I got 6.
Step-by-step explanation:
I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.
What is the value of x
Hey there! :)
Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:
- SOH = Sin: opposite over hypotenuse
- CAH = Cos: adjacent over hypotenuse
- TOA = Tan: opposite over adjacent
The question is asking us to find the value of x given the following located in the image provided.
Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.
We must now look at the other given variables in this triangle - specifically where they are located.
While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.
Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.
We now set up our equation to find the value of x:
tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.
Now, we must remove all fractions. We can do this by multiplying both sides by 8.
8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8
Now, we simplify.
8 × tan (51°) = x
Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.
8 × 1.2348 = x
Simplify.
x = 9.9
Therefore, angle x is 9.9
Hope this helped! :)
(Image attached for visual reference)
A shipping box has the dimensions shown. What is the volume of the box in cuvic yards? ( two sides are 1/4 yards and one side is 1/2 yrads)
answers - 1/16 yards, 1/10yards, 1/32 yards, 1/8 yards
Answer:
[tex]C)[/tex] [tex]1/32 ~yd^3[/tex]
Step-by-step explanation:
[tex]l*b*h[/tex]
[tex]1/2*1/4*1/4=[/tex][tex]1/32 ~yd^3[/tex]--------------------
hope it helps...
have a great day!!
find the volume of the sphere
Identify the parts of a sphere,
a is the
bis the
c is the center
d is the radius
diameter
great circle
HELP 50points
Answer:
Hello, it appears you did not provide an image that was supposed to be included in order to help answer your question, so I'm afraid I cannot assist you without seeing it. If you supply the necessary photo, I would be more than happy to help you.
Anyone helps??
Mr. Cruz has 60 students. 24 are taking Math, 15 are taking Biology, and 31 are taking neither.
How many students are taking both, Math and Biology.
Answer:
39
Step-by-step explanation:
24+15= 39. 39 students are taking both math and biology.
PLEASE HELP!! Click the picture
Answer:
If y - 4 = 5 then:
y = 5 + 4
y = 9
Simplify the expression.
4y-y(3 - 7y) + 5+ 2(8- y)
7y2-y +21
-7y2 - y + 21
-8y + 21
-7y+21
Answer:
7y² - y + 21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
4y - y(3 - 7y) + 5 + 2(8 - y)
Step 2: Simplify
[Distributive Property] Distribute parenthesis: 4y - 3y + 7y² + 5 + 16 - 2yCombine like terms (y): 7y² - y + 5 + 16Combine like terms: 7y² - y + 2161 POINTES!!!!!! (I will give brainliest)
A landscape architect designs a small splash pad represented by ΔABC. Then she decides to make the splash pad larger as shown by ΔADE. How are the splash pad designs alike? How are they different?
I think it is -4 and positive 2
Solve the equation
z³=27
Answer: z = 3, -1.5 + 1.5[tex]\sqrt{3}[/tex]i, -1.5 - 1.5[tex]\sqrt{3}[/tex]i
Step-by-step explanation:
A cubic equation will have three solutions. This equatoin will give us one real solution. We will also have two complex solutions. These are solutions that involve "imaginary numbers" and will utilize the value i. We will write the equation in standard form and factor it.
z³ - 27 = 0
(z - 3)(z² + 3z + 9) = 0
The first factor gives us z = 3, because 3 - 3 = 0. Now, we will look at when the second factor equals 0. Let us complete the square.
z² + 3z + 9 = 0
(z² + 3z + 2.25) + 9 - 1.5 = 0
(z² + 3z + 2.25) + 6.75 = 0
(z + 1.5)² + 6.75 = 0
Lastly, we can continue solving. We will subtract 7.5 from both sides of the equation and then take the square root of both sides. Then, we will subtract 1.5 from both sides of the equation and simplify the radical. [tex]i=\sqrt{-1}[/tex].
(z + 1.5)² = -6.75
z + 1.5 = ±[tex]\sqrt{6.75}[/tex]i
z = -1.5 ±1.5[tex]\sqrt{3}[/tex]i
Answer:
z = 3, -1.5+1.5√3i, -1.5-1.5√3i
Step-by-step explanation:
You want the solutions to the equation z³ = 27.
CubicA cubic equation has three solutions. This one has one positive real solution and two complex conjugate solutions.
We can rewrite the equation to standard form, then factor the difference of cubes.
z³ -27 = 0
(z -3)(z² +3z +9) = 0
The first factor will be zero when z = 3, so that is one solution.
The second factor will be zero when ...
(z +1.5)² +6.75 = 0 . . . . . . . complete the square
(z +1.5) = ±√(-6.75) = ±√(-27/4) = ±(3/2)√(-3) . . . subtract 6.75; square root
z = -1.5 ±1.5√3i
The three solutions to the equation are ...
z = 3z = -1.5+1.5(√3)iz = -1.5-1.5(√3)i<95141404393>
SOMEONE HELP ILL GIVE BRAINLIEST!!
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Answer:
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
Step-by-step explanation:
Given
[tex]Zeros: -5,-2,2[/tex]
Required
The polynomial function
If a function has a, b and c as its zeros, the function is:
[tex]f(x) = (x - a)(x - b)(x - c)[/tex]
So, we have:
[tex]Zeros: -5,-2,2[/tex]
[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]
Open the inner brackets
[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]
Expand the difference of two squares
[tex]f(x) = (x +5)(x^2 - 4)[/tex]
Expand
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
an experienced bricklayer can construct a small wall in 7 hours. An apprentice can complete the job in 42 hours
Answer:
6 hours
Step-by-step explanation:
The trick to this type of problem is using an equal amount of time.
The least common multiple of 7 and 42 is 42
At 7 hours per wall
In 42 hours the bricklayer could build
42/7 = 6 walls
At 42 hours per wall
In 42 hours the apprentice could build
42/1 = 1 walls
Working together in 42 hours they could build 6 + 1 = 7 walls
42hours/7walls = 6hours/ wall
--------------------------
Math only
x = 1 wall/7hours + 1wall/42 hours
use common denominator of 42
x = 6w/42 hr + 1w/42hr
x = 7w/42 hr
reduce
x = 1w / 6hr
Need help urgently difficult but simple math equation if you get it right ill give you brainliest.
Answer:
No.
Step-by-step explanation:
Explanation below.
A recipe for oatmeal raisin cookies requires 2 eggs for every dozen cookies . Which equation shows the relationship between eggs ( e ) and dozen cookies ( c ) ?
Answer:
2e = c
Step-by-step explanation:
Let :
Egg = e
Cookies = c
2 eggs for every 1 dozen of cookies
This gives the Mathematical expression :
2 eggs = 1 c
2e = c
Helpppp 8 &11/13 as an improper fraction
Answer:
115/13
Step-by-step explanation:
convert mixed number into improper fraction
8×13+11
multiply
104+11/13
add
104+11=115
115/13
Question 6
What is the missing value of the following synthetic division?
Answer:
Hello!
16
Step-by-step explanation:
Because
-5+16=11
WILL
GIVE BRAINLIST FOR MATH
....
Solve for x PLEASE HELP DUE TODAY!!!
Answer:
x = 4
Step-by-step explanation:
By intersecting tangent and secant theorem:
[tex] {(x + 2)}^{2} = x(x + 5) \\ \\ {x}^{2} + 4x + 4 = {x}^{2} + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4[/tex]
Answer:
x = 4
Step-by-step explanation:
When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:
The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.
(x + 2)² = x(x + 5)
x² + 4x + 4 = x² + 5x
x = 4
solve for y: -4y + 5 > -15
Step-by-step explanation:
-4y+5>-15
-4y>-15-5
-4y>-20
divide both (-)
4y>20
divide through by 4
y>20/4
y>5
Write the number 4, 207 in expanded form.
A. (41000) + (2 · 100) + (0 · 10) + (7.1)
B. (4.1000) + (2 · 100) + (7.10)
C. (4.1000) + (20 · 100) + (7.10)
D. (4 .100) + (2 · 10) + (1 .7)
Answer:
(4.1000)+ (2.100) + (7.10)
Jffkdjdjdjdkskkskskskskakskkdkdkskdk
Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
give 5 each examples of acute angle
and obtuse angle
Answer:
acute (<90°): 2° 35° 47° 78° 89.5°
obtuse (>90°): 91° 180° 290° 110° 359°
Which choice is equivalent to the fraction below? Hint: Rationalize the
denominator and simplify.
Answer:
Option D. 4√2
Step-by-step explanation:
8/√2
The above expression can be simplified as follow:
8/√2
Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:
8/√2 × (√2/√2)
8 × √2 / √2 × √2
8√2 / 2
4√2
Thus, option D gives the correct answer to the question.
A shape has 2 pairs of parallel sides and no right angles. Its sides are all the same length. What shape is it?
A. Rhombus
B. Trapezoid
C. Rectangle
D. Square
Answer: The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.
Step-by-step explanation:
Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.
I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.
There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.