20 points! For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?
0.15
0.21
0.45
0.79
Answer:
So i feel like the answers is .79
Step-by-step explanation:
asking for the ones that visited 21 or more so thats .45+.19+.15=.79
Answer:
.55
Step-by-step explanation:
15 divided by 6 2/3 =
A. 100
B. 2/14
C. 100 1/4
D. 2 3/4
The equation -7(u+3)=49 is solved in several steps below.
For each step, choose the reason that best justifies it
Answer:
u = -25/7
Step-by-step explanation:
-7(u + 3) = 4
-7u -21 = 4 (distribute the -7)
-7u = 25 (add 21 to get -7u by itself)
u = -25/7 (divide by -7 by both sides to find the value of u)
if a rectangle have length of 10 inches and width of 8 inches what is the new area if each corner is cut by x^2
Answer:
[tex]80 - 4x^2[/tex]
Step-by-step explanation:
Area of a rectangle
A rectangle of width W and length L has an area of:
A = W.L
The given rectangle has a length of L=10 inches and a width of W=8 inches, thus its area is:
A = 8*10 = 80
[tex]A = 80\ in^2[/tex]
If each corner is cut by a square of x*x, then the total area will be:
[tex]A' = 80 - 4x^2[/tex]
The new area is [tex]\mathbf{80 - 4x^2}[/tex] square inches
The shortest route from London to York is 200 miles.
A lorry is expected to take 4 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 4 hours.
By how many more mph than the expected speed does the lorry travel?
Answer: The lorry is traveling 10 mph over the expected speed.
Step-by-step explanation:
If 200 miles takes 4 hours, the speed is 200mi/4hr which is 50 mph.
If the distance is increased by 20%, the distance is 240 miles.
240mi/4hr = 60mph
The difference is 10mph
Rewrite 105,000 in scientific notation.
Answer options are in pic below
Answer:
the answer is the third option (C)
Find the quotient and the remainder when you divide f ( x ) = x 3 + 2 x 2 + 4 x + 6 by x − 2
Answer:
x^2 + 4x + 12 + [tex]\frac{30}{x-2}[/tex]
Step-by-step explanation:
idrk how to explain this one and im on a computer so i cant take a picture of my work but just divide lol
divide like you would with normal division kinda lol
hope this helps <3
Devaughn's age is two times Sydney's age. The sum of their ages is 18. What is Sydney's age?
Answer:
Sydney's Age is 6
Step-by-step explanation:
6 x 2 = 12
12 + 6 = 18
Answer:
Sydney is 6
Step-by-step explanation:
You get this by dividing 18 by three, as one set of 6 is Sydney while tcice that is her brother.
g A nationwide survey of 17,000 college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. If 18 of these seniors are selected at random and asked their opinion, what is the probability that more than 9 but fewer than 14 disapprove of smoking pot daily
Answer:
the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608
Step-by-step explanation:
From the information given:
Let N represent the total number of senior students
N = 17000
and k to be the number of seniors disapproving of daily pot smoking
k = 17000 × 0.70
k = 11900
sample size n = 18
Suppose X represents the random variable...
Then,
X = 0,1,2,...,18
Thus X follows a hypergeometric distribution with parameters
(N = 17000, n = 18 & k = 11900)
Thus, the probability mass function is:
[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]
[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]
[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]
Now, the required probability is computed as:
[tex]P(9<X<14) = P(10 \le X \le13)[/tex]
[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]
[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018
P(9<X<14) = 0.608
Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608
5.2.21-T
Question Help
Assume that when adults with smartphones are randomly selected 44%use them in meetings or classes. If 17 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in
Meetings or classes
Answer:
0.004398
Step-by-step explanation:
Given that:
p = 44% = 0.44
Number of trials (n) = 17
Probability that exactly 2 of them use smartphones in meetings or classes =?
Using the binomial probability formula :
P(x = 2)
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 2) = 17C2 * 0.44^2 * 0.56^15
P(x = 2) = 136 *0.1936 * 0.0001670399
P(x = 2) = 0.00439809
P(x = 2) = 0.004398
Please help answer the first 2 boxes for brainslt
> for brainslt
Find the unknown of the following
Step-by-step explanation:
For 4.
4b + 2b + 3b = 180°< Sum of angles of triangle >
9b = 180°
b = 180° / 9
b = 20°
4b = 4* 20° = 80°
2b = 2* 20° = 40°
3b = 3 * 20° = 60°
For 5.
x = 64° + 45° <Exterior angle of a triangle is equal to the sum of two opposite interior angles>
x = 109°
Hope it helps :)
The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm.
Answer:
241/81 cm^2
Step-by-step explanation:
[tex]2\: lenghts = wide\\\\lenght=x\\\\2x=wide\\\\Perimeter = 2(wide+lenght)\\\\P=2(2x+x)\\\\P=2(3x)\\\\P=7\frac{1}{3}\\\\\frac{22}{3}=6x\\\\x=\frac{22}{3*6}\\\\x=\frac{11}{9}\\\\width = 2x=2(\frac{11}{9})=\frac{22}{9}[/tex]
[tex]Area = lenght\times width\\\\Area = \frac{11}{9}\times\frac{22}{9}\\\\A=\frac{11*22}{9*9}\\\\A=\frac{242}{81}cm^2[/tex]
Answer:
[tex]2\frac{80}{81}[/tex] cm²
Step-by-step explanation:
A = lw
P = 2(l + w)
~~~~~~~~~~~
l = 2w
2(2w + w) = [tex]7\frac{1}{3}[/tex]
2(3w) = [tex]\frac{22}{3}[/tex]
3w = [tex]\frac{11}{3}[/tex]
w = [tex]\frac{11}{9}[/tex]
l = [tex]\frac{22}{9}[/tex]
A = [tex]\frac{22}{9}[/tex] × [tex]\frac{11}{9}[/tex] = [tex]\frac{242}{81}[/tex] = [tex]2\frac{80}{81}[/tex] cm²
What is the value of x? enter your answer in the box.
Answer:
X = 20
Step-by-step explanation:
3x + 50 = 6x -10
3x - 6x = -10 - 50
-3x = -60
x = -60/-3
x = 20
Answer:
x = 20
Step-by-step explanation:
Vertically opposite angles are congruent.
6x - 10 = 3x + 50
6x = 3x + 50 + 10
6x = 3x + 60
6x - 3x = 60
3x = 60
x = 60/3
x = 20
Jacob is going on a vacation to Australia. His flight leaves at 1:15 P.M. It takes 1 hour to get to the airport, and Jacob wants to be at the airport 1 hour and 15 minutes before his flight leaves. What is the latest time that Jacob can leave for the airport?
Plzzzz help
Answer:
The latest time is 12:00
Step-by-step explanation:
take an hour away for 1:15 which is gonna be 12:15 then take the 15 minutes away and you get 12:00
Answer:
11:00
Step-by-step explanation:
if he leaves at 11:00 it’s takes an hour to get there. So when he gets there it’s 12:00 Add an hour 15 and you get 1:15
Can someone help me I appreciate it
Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..
Complete Question
Each of the following hypothetical data set represents some repeated weighing of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..
The data in grams are
100.02 , 99.98 , 100.03
Answer:
The p-value is [tex]p-value =0.5798[/tex]
Step-by-step explanation:
Generally the sample mean of the given data is mathematically represented as
[tex]\= x = \frac{100.02 + 99.98 + 100.03 }{3}[/tex]
[tex]\= x =100.03 \ g[/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{\sum [x_i - \= x]^2 }{n-1} }[/tex]
=> [tex]s = \sqrt{\frac{[ 100.02 - 100.01]^2+ [ 99.98 - 100.01]^2+[ 100.03 - 100.01]^2 }{3-1} }[/tex]
=> [tex]s = 0.02645[/tex]
The null hypothesis is [tex]H_o : \mu = 100[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 100[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 3 - 1[/tex]
=> [tex]df = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 100.01 - 100 }{\frac{0.02645}{\sqrt{3} } }[/tex]
=> [tex]t = 0.655[/tex]
From the t distribution table the probability corresponding to the t to the right of the bell curve at a degree of freedom of [tex]df = 2[/tex]
[tex]P( T > 0.655 ) = 0.2899[/tex]
Generally the p-value for this two tailed test is mathematically represented as
[tex]p-value = 2 * P(T > 0.655)[/tex]
=> [tex]p-value = 2 * 0.2899[/tex]
=> [tex]p-value =0.5798[/tex]
+) Evaluate the expression 81 – 82.
81 – 82 =
Answer:
81-8²
=81-(8×8)
=81-64
=17
6) Calculate the slope of a line containing the points (-3,5) and (-7,11).
slopev=
[tex]diffrence \: in \: y \: coordinate \\ diffrence \: in \: x \: coordinate[/tex]
so
Y=11_5 =6
X = -7_(-3) = -4.
slope = (-4,6)
make as brainlist
ndicate the answer choice that best completes the statement or answers the question.
Determine whether each table represents a linear or a nonlinear function.
by
3
4.5
1.5
2
16
16
V
14
18
Oa Nonlinear, As x increases by 1.5, y increases by a greater amount each time. The rate of change is not constant, so this function is
nonlinear
Ob. Linear; As x increases by 5, y increases by 4 each time. The rate of change is constant, so this function is linear.
Oc. Linear; As x increases by 5, y increases by 2 each time. The rate of change is constant, so this function is linear.
Od. Linear, As x increases by 1.5, y doubles each time. The rate of change is constant, so this function is linear.
UMM SOMEONE CAN HELP ME I need to do this using the distributive property and collecting like terms.
8 − 4 ( 1/8r −3 1/2
The Data set shows the ages of the members of two clubs.
CLUB A: 42, 38, 40, 34, 37, 46, 38, 45
CLUB B: 30, 44, 42, 61, 24, 27, 59, 65 m
(10 Points)
Find the mean age for CLUB A :
Answer:
it goes by +4 and -4
Step-by-step explanation:
The integer 4 is considered all of the following except _____.
a term
a constant
an expression
a variable
Answer:
variable
Step-by-step explanation:
variables are often expressed by letters
okay. i need help i been working on this for like- 4 hours i dont know chile anyways so. im kinda not- smart- right now and i lost my brain. so a little help please <3
1. 8.2 repeating
2. 0.878
3. 22.02 repeating
4. 1.852 repeating
5. 0.76335877
6. 0.270 repeating
A dinner table is 5 feet wide and 7 feet long.
Find the area of the table.
A.
75
B.
35
C.
30
D.
144
1 Austin earned 47 out of 50 points on his math test. Marty earned a 92% on his math test. Who earned a higher score? Marty or Austin
Answer:
Austin earned a higher score
Step-by-step explanation:
47/50 (Austin's score) = 94/100 (denominator is now 100) = 94% (converted to percentage) > 92% (Marty's score)
Hope this helps!
Answer:
Austin earned a higher score.
Step-by-step explanation:
Marty 50 * 0.92 = 46 points
find the difference between (-2,3) and (6,3)
Answer:
5.099
Step-by-step explanation:
Answer:
The difference between (-2,3) and (6,3) is 8
Step-by-step explanation:
identify the slope and y-intercept of the function y=-5x+4 (brainlyest to correct answer)
Answer: A. The slope is -5, and the y-intercept is (0,4)
Step-by-step explanation:
In standard form, a function is written as y = mx + b, where m = slope and b = the y-intercept
With that in mind, the m value is -5 and the b value is 4
Thus, the slope is -5, and the y-intercept is (0,4)
Evaluate:
12x+10 for x=−12
Answer:
-144?
Step-by-step explanation:
im not sure if that'll be the answer
Answer:
-134
Step-by-step explanation:
At the start of a month a customer spends $3 for a reusable coffee cup. She pays $2 each time she has the cup filled with coffee. At the end of the month she has paid
$53. Write an equation to show x number of refills she got for the month.
