The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.
Answer:
The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.
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.
Standard deviation of 1 minute.
This means that [tex]\sigma = 1[/tex]
Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.?
This is the pvalue of Z for X. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - \mu}{1}[/tex]
[tex]Z = X - \mu[/tex]
The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.
I need help please.
Answer: B
Step-by-step explanation: i looked it up ans it said b how this helps :>
Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) Twenty darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit.
expected value
variance
standard deviation
Answer:
The answer is "4.8, 3.84, and 1.96".
Step-by-step explanation:
Given:
[tex]\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\[/tex]
By using the binomial distribution:
[tex]\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96[/tex]
Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price?
A prism is filled with 59 cubes with 1 2 unit side lengths. What is the volume of the prism in cubic units?
Answer:
V = 2832 m3 only if that 1 2 is a 12 if that is not a 12 it is wrong
Step-by-step explanation:
Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surface area of the shaker?
Answer:
1507.96
Step-by-step explanation:
Show that (2, 1) is a solution of the system of equations.
x + 3y = 5,
y = –x + 3
Substitute (2, 1) into x + 3y = 5 to get "Blank"
1+32=5
1+3(2) = 5
2+31 = 5
2+(3)=5
.
Simplify the equation to get "Blank"
5=5 is true
7=7 is true
7=5 is false
33=5 is false
.
Substitute (2, 1) into y = –x + 3 to get "Blank"
1= - (2)+3
1= - (2+3)
2= - (1) +3
2=-(1+3)
.
Simplify the equation to get "Blank"
1=1 is true
1 = - 1 is false
2 = 2 is true
2 = - 2 is false
.
Answer:
1) 2+(3)=5
2) 5=5 is true
3) 1=-(2)+3
4) 1=1 is true
Step-by-step explanation:
William throws a football at a rate of 60 feet per second. How long will it take the football to travel 120 feet?
A. 2 sec.
B. 3 sec.
C. 4 sec.
D. 6 sec.
Answer:
A
Step-by-step explanation:
A sample of a radioactive isotope had an initial mass of 640 mg in the year 2010 and decays exponentially over time. A measurement in the year 2014 found that the sample's mass had decayed to 440 mg. What would be the expected mass of the sample in the year 2024, to the nearest whole number?
Answer: 172
Step-by-step explanation:
ABCD is a rhombus. The measure of angle <1 = 58°
true
or
false
Answer:
False
Step-by-step explanation:
In a rhombus, the diagonals are always perpendicular.
for a triangle with the lengths of its sides of 5,13 and 14, determine if it is a right angle
Answer:
it is
Step-by-step explanation:
WHATS 20-11 ANSWER OR DAII
Answer:
9
Step-by-step explanation:
20-11=9
☁️ Answer ☁️
9
Take 11 away from 20
Have a nice day noona/hyung.
Jeremy has 5 of a pound of rice. Shaila has to of a pound of rice.
Which statement best describes the total amount of rice that Jeremy and Shaila have?
Hi, you've asked an incomplete question. The full question reads;
Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?
a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.
b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.
c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.
d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.
Answer:
d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.
Step-by-step explanation:
Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).
Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).
PLS HELP ITS DUE TODAY
1pt Sort the real-world objects into the category that correctly identifies the combination of shapes that would best model that object.
Sphere and cylinder
A case of soda in a box
Cube and sphere
Tennis balls in a tube
Doghouse with a pointed roof
Triangular prism and cube
Bowling ball in a box
Cylinder and rectangular prism
Step-by-step explanation:
sphere and cylinder=Tennis ball and tube
cube and sphere=Bowling ball in the box
Triangular prism and cube=doghouse with pointed roof
cylinder and rectangular prism=case of soda in box
Answer:
Sphere & Cylinder --> Tennis balls in a tube
Cube & Sphere --> Bowling ball in a box
Triangular Prism & Cube --> Doghouse with a pointed roof
Cylinder & Rectangular Prism --> Case of soda in a box
PLEASE SAY A,B,C OR D OF THE RIGHT ANSWER ONLY PLEASE! no links or flies, x .
You cut a candy bar into 8 equal pieces. You gave 3/8 of it to your sister and 2/8 to your brother. Which equation represents the fraction of the candy bar you gave away?
3/8 – 2/8 = 1/0
3/8 + 2/8 = 5/8
3/8 – 2/8 = 1/8
3/8 + 2/8 = 5/16
Answer:
B
Step-by-step explanation:
3/8 + 2/8 = 5/8
Mr. Dimaggio is making his famous pasta sauce. He uses 8 cups of tomatoes to make 2 quarts of sauce. How many cups of tomatoes will he need to make 12 quarts of the sauce?
____________ = ______________
Please help me!!!!!!!!!
Answer:
48 cups of sauce
Step-by-step explanation:
You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce
Hope that helped
what is vaule of y when x=4'5
Answer:
[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
[tex]x = \frac{4}{5}[/tex]
Required
Find y
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
Substitute [tex]x = \frac{4}{5}[/tex]
[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]
[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]
Collect like terms
[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]
[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]
Split the surd
[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]
Rationalize
[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]
Take LCM and add
[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]
[tex]y = \frac{2\sqrt5+6}{5}}[/tex]
or solve as:
[tex]y = \frac{2*2.24+6}{5}}[/tex]
[tex]y = \frac{10.48}{5}[/tex]
[tex]y = 2.096[/tex]
The graph below shows which system of inequalities?
.HELP!!!!!...............
Answer:
132 yards
because its a hexagon so all sides are the same, meaning you do 22×6 = 132
Help needed , I don’t understand
Hello!
This problem is about relating parallel and perpendicular lines with a given point.
What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.
Using this information, let's look at the first part.
We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].
Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.
[tex]y=6x+b[/tex]
[tex]-3=6(4)+b[/tex]
[tex]b=-27[/tex]
So the line would be [tex]y=6x-27[/tex].
Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.
We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.
[tex]y=-\frac{1}{6}x+b[/tex]
[tex]-3=-\frac{1}{6}(4)+b[/tex]
[tex]b=-\frac{7}{3}[/tex]
So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].
Hope this helps!
BRAINLIEST NEED ANSWERS ASAP PLEASE
[tex]\frac{3x+2+5(x-6)}{x^{2} -36}=\frac{8x-28}{(x+6)(x-6)}[/tex]
Two Distinct irrational Roots
A.0
B.91
C.-25
D.1
Suppose one serving of vegetables is 3/4 cup. How many servings there in 3 1/2 cups?
Explain your reasoning
Answer:
14/3 or 4.6
Step-by-step explanation:
you would do 3.5 divided by .75 (=^w^=)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<g = 129°
alternate interior angles
Step-by-step explanation:
hope this helps! :)
G is 129°
Angles g and f are vertical angles.
the image is to show why :)
Write an expression equivalent to
b10/b5
in the form bm.
Answer: M equals 7. So it would be b^7. When you multiply exponents you add them. When you divided them you subtract
Step-by-step explanation:
The equivalent expression will be b⁵.
What is an expression?Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc.
Given an expression b¹⁰/b⁵,
We need to find an equivalent expression for the same,
So,
Using the identity,
mᵃ ÷ mᵇ = mᵃ ÷ mᵇ
= m⁽ᵃ⁻ᵇ⁾
Therefore,
b¹⁰/b⁵ = b⁽¹⁰⁻⁵⁾
= b⁵
Hence, the equivalent expression will be b⁵.
Learn more about expression click;
https://brainly.com/question/14083225
#SPJ2
3 x f(−4)−3 x g(−2)=
Answer:
−12+6
Step-by-step explanation:
Find the value of x.
answer ;
2x + 1 + 71 = 180 2x + 72 = 180 2x = 180 - 72 = 108x = 108/2( refer the attachment for division )
hence , x = 54PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
30 or 60 both work
Step-by-step explanation:
please make me branlest
Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?
Answer:
156 is the tax
Step-by-step explanation:
2600 x .06 = 156
Find the measure of the exterior angle
Answer:
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to the exterior angle that is supplementary to the third interior angle
for first triangle
90 + 53 = u
143 = u
for the other triangle
102 + x = 4x + 6
102 = 4x + 6 - x
102 = 3x + 6 subtract 6 from both sides
96 = 3x divide both sides by 3
32 = x