Answer:
0.7558 = 75.58% probability this sale has occurred in Dallas
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Belt sold
Event B: Sold in Dallas.
Probability of belt being sold:
50% of 65%(made in Dallas)
30% of 100 - 65 = 35%(made in Phoenix). So
[tex]P(A) = 0.5*0.65 + 0.3*0.35 = 0.43[/tex]
Sold in Dallas:
50% of 65%. So
[tex]P(A \cap B) = 0.5*0.65 = 0.325[/tex]
What is the probability this sale has occurred in Dallas?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.325}{0.43} = 0.7558[/tex]
0.7558 = 75.58% probability this sale has occurred in Dallas
22. Eight people equally share 3 pizzas. How much pizza does each person recieve?
oc
Answer:
About 2.6 pizza's each. (round it however you see fit)
Step-by-step explanation:
Hope this helps!! Have a good day and remember to be tiger fierce!! :)
Answer:
3/8
Step-by-step explanation:
someone please help thanks
Answer:
Don't take my word for it because I havent dont this in a while but I believe it is the top right
According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71. An SRS of 100 adults in a certain section of the county found that 65 owned their home. What represents the approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?
Answer:
0.0764 = 7.64% approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home.
Step-by-step explanation:
To solve this question, we use the normal approximation to the binomial distribution.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71.
This means that [tex]p = 0.71[/tex]
Sample of 100:
This means that [tex]n = 100[/tex]
Mean
[tex]\mu = E(X) = np = 100*0.71 = 71[/tex]
Standard deviation:
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.71*0.29} = 4.5376[/tex]
What represents the approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?
This is, using continuity correction, [tex]P(X \leq 65 - 0.5) = P(X \leq 64.5)[/tex], which is the pvalue of Z when X = 64.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.5 - 71}{4.5376}[/tex]
[tex]Z = -1.43[/tex]
[tex]Z = -1.43[/tex] has a pvalue of 0.0764
0.0764 = 7.64% approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home.
Answer the following. Round all answers to the nearest hundredths place.
The angle of elevation from point A to the top of the cliff is 38 degrees. If point A is 80 feet from the base of the cliff, how high is the cliff?
Answer:
62.5ft
Step-by-step explanation:
It doesnt matter if there's bumps along the side, the height will still reach to the same point.
Using trigonometry we have a adjacent and the opposite.
Hypotenuse is opposite the right angle
Opposite is opposite the angle
Adjacent is the last side to remain
Soh Cah Toa
We'll be using toa (Tan) because o and a (opposite and adjacent)
rearranging the original formuma :
Side × tan(Angle)
80 × tan (38) =62.50285....ft
what is the legnth and width of a rectangle
Answer:
A rectangle is composed of two sides: length (L) and width (W). The length of a rectangle is the longest side, whereas the width is the shortest side.
To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x)=x−273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.
9514 1404 393
Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
What is 5 + 2x + 7 + 4x
Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
For the afternoon showing of a film, a
theater sold 100 tickets, each of
which was either a $7.50 ticket for a
child or a $10.00 ticket for an adult. If
the theater collected a total of
$812.50 for the tickets, how many
adult tickets were sold?
A. 20
B. 25
C. 40
D. 60
Answer:
B. 25
Step-by-step explanation:
The computation of the no of adult tickets sold is shown below;
let us assume the number of child ticket be x
And, for adult ticket be y
Now as per the questions
x + y = 100
7.50x + 10y = 812.50
Multiply by 7.50x in equation 1
7.50x + 7.50y = 750
7.50x + 10y = 812.50
-2.50y = -62.50
y = 25
Hence, the number of adult ticket sold is 25
What triangle is formed by the points (3,2 ) , 4, 7 and 5,6 ?
Answer:
Isosceles
Step-by-step explanation:
I'm not 100% sure but i believe its an isosceles.
Answer: the answer is A if ur on a iready test
Step-by-step explanation: they both are pointing to a
What is the measure of x?
3
27
Z
Х
x = ?
Answer:
x = √810
Step-by-step explanation:
Using the leg rule, which is given as:
Hypotenuse/leg = leg/part
Thus:
Hypotenuse = 27 + 3 = 30
leg = x
Part = 27
Plug in the values
30/x = x/27
Cross multiply
x*x = 30*27
x² = 810
x = √810
What are the values of the function y= 3x - 4 for x = 0,1,2, and 3?
A. -4, -1, 2, and 5
(help?)
Look at the model.
Which of the following statements of equality is true? [png]
Answer:
H
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
3 times 2 and x in each row
which equals to 6 and 3x
What is 5^5 equal to
Answer:
5^5 is equal to 3125
Step-by-step explanation:
5×5×5×5×5=3125 Hope this helps!
the answer is 10 alangan
2800cm cubed into litres
Answer: 2.8 liters
Please mark as brainliest
Step-by-step explanation
divide by the volume of 1,000
2,800 divided by 1,000 is 2.8 so it is 2.8 liters
easy 5th grade math please look at photo and show work. Giving brainliest!!
Answer:
C
Step-by-step explanation:
Help!!! Please!!! I’ll mark you brainliest first person to answer!!! :)
The diameter of a circle measures 12 cm. What is the circumference of the circle?
Answer
The circumference is 37.699
Hope this answer helped you!
⭐Please consider giving brainliest!⭐
Step-by-step explanation:
the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm
Given quadrilateral QRST - quadrilateral HIJK, QR = 10, QT = 6, and HI = 8, find KH.
Answer:
B. 24/5
Step-by-step explanation:
QR = 10
QT = 6
HI = 8
Quadrilateral QRST ~ quadrilateral HIJK, therefore, their corresponding side lengths would be proportional to each other.
This:
QR/HI = QT/HK
Plug in the values
10/8 = 6/HI
Cross multiply
10*HI = 8*6
10*HI = 48
Divide both sides by 10
HI = 48/10
HI = 24/5
Answer:
B. 24/5
Step-by-step explanation:
Hope this helps
Determine whether the given value is a solution of the equation.
7w = 73; w = 10
Step-by-step explanation:
When w=10, 7w=7×10=70
But the given value of 7w is 73.
So, the given value is not a solution of the equation.
The rectangular box can be constructed from the pattern above. The box has a length of 8 units, a width of 2 units, and a height of 2 units. What is the surface area of the box?
Answer:
72 units
Step-by-step explanation:
SA=2lw+2lh+2hw
SA=2(8x2) + 2(8x2) + 2(2x2) Note, Not distributive
SA= 2(16) + 2(16) + 2(4)
SA= 32 + 32 + 8
SA= 72
Answer:
72 sq. units
Step-by-step explanation:
There are four rectangles of length 8 units and width 2 units, and two squares of length 2 units each.
area of one rectangle=8×2=16 sq. units
area of four rectangles=16×4=64 sq. units
area of on square=2×2=4 sq. units
area of two squares=4×2=8 sq. units
total surface area=64+8=72 sq. units
Help with this please!!
Answer:
I can see the picture re post it
Step-by-step explanation:
Answer:
The measure of angle F is the same as the measure of angle C.
BC is adjacent and AC is the hypotenuse. That means, use cosine.
Cos C = 15/17
C = cos-1(15/17) = 28.07... or 28.
Step-by-step explanation:
In ΔQRS, r = 89 inches, s = 32 inches and ∠Q=116°. Find ∠R, to the nearest degree.
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
Steven paid $60 for 3 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Steven put in the blank of the following equation? c=$___÷3?
Answer:
c=$60/3. $20 dollars per class.
Step-by-step explanation:
A cell culture currently contains 4 thousand cells, and is growing at a rate of r (t) = 8e^0.18t thousand cells per hour, where t is the number of hours since now. Find the total cell count after 3 hours. Give your answer accurate to at least 2 decimal places.
Answer:
20.00 thousand cell
Step-by-step explanation:
The problem can be solved using integration
[tex]\begin{aligned} r &=4+\int_{0}^{3} 8 e^{0.18 t} d t \\ &=4+3 \cdot\left[\frac{e^{0.18t}}{0.18}\right]_{0}^{3} \\ &=4+\frac{3}{0.18}\left(e^{0.18(3)}-e^{0.18(0)}\right) \\ &=19.9996 \end{aligned}[/tex]
[tex]\approx 20.00[/tex] thousand cells
the correct answer upto 2 decimal place.
Help me please. Need answer ASAP!!! Thank you
Rewrite the fraction pairs with common denominators
A. 3/20 and 4/5
B. 8/21 and 6/7
C. 2/8 and 4/9
Answer:
a) [tex]\frac{3}{20}[/tex] and [tex]\frac{16}{20}[/tex] = [tex]\frac{19}{20}[/tex]
b) [tex]\frac{8}{21}[/tex] and [tex]\frac{18}{21}[/tex] = [tex]1\frac{5}{21}[/tex]
c) [tex]\frac{18}{72}[/tex] and [tex]\frac{32}{72}[/tex] = [tex]\frac{25}{36}[/tex]
Step-by-step explanation:
a) [tex]\frac{3}{20}[/tex] and [tex]\frac{4}{5}[/tex]
[tex]\frac{4}{5}[/tex] x 4 = [tex]\frac{16}{20}[/tex]
[tex]\frac{3}{20}[/tex] and [tex]\frac{16}{20}[/tex] = [tex]\frac{19}{20}[/tex]
b) [tex]\frac{8}{21}[/tex] and [tex]\frac{6}{7}[/tex]
[tex]\frac{6}{7}[/tex] x 3 = [tex]\frac{18}{21}[/tex]
[tex]\frac{8}{21}[/tex] and [tex]\frac{18}{21}[/tex] = [tex]1\frac{5}{21}[/tex]
c) [tex]\frac{2}{8}[/tex] and [tex]\frac{4}{9}[/tex]
[tex]\frac{2}{8}[/tex] x 9 = [tex]\frac{18}{72}[/tex]
[tex]\frac{4}{9}[/tex] x 8 = [tex]\frac{32}{72}[/tex]
[tex]\frac{18}{72}[/tex] and [tex]\frac{32}{72}[/tex] = [tex]\frac{25}{36}[/tex]
HELP!! Which figure is a translation of Figure 1? *
Answer:
Figure B
Step-by-step explanation:
A translation moves a certain amount of spaces, but will never turn nor will it rotate.
Is this A,B,C or D helppppp
Answer:
D
Step-by-step explanation:
D goes thru positive 4 and negative 3
9. Jennifer left the Visitor Center at 3:30 P.M. after spending
40 minutes there. At what time did she arrive?
10. A football game lasted 2 hours and 37 minutes. It finished
at 4:22 P.M. When did it start?
A 1:45 P.M. B 1:55 P.M. C 2:45 P.M. D
11. Explain It What is 1 hour and 35 minutes before 4:05 P.M.?
Explain how you solved this problem.
Type answer here
Answer:
9. 2:50 . she left after 40 minutes meaning you have to subtract 3:30 and 40 . so 30 mins is 3:00 and then you take away another 10 to make it 40 minutes ago and you get 2:50 pm
in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram
2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5
Answer:
C
Step-by-step explanation:
Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!
Answer:
C is the approximant answer