what is the probability of a student owning a car that is not blue or green round to two decimal places
Answers
0.83
Explanation
The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible
[tex]P=\frac{favorable\text{ ourcomes}}{\text{total possible outcomes}}[/tex]Step |
Let
[tex]\begin{gathered} \text{favorable outcomes=car that is not blue or gre}en,\text{ so} \\ \text{favorable outcomes=}red\text{ cars+yellow cars+white cars+other} \\ \text{favorable outcomes=}40+29+26+14 \\ \text{favorable outcomes=}109 \end{gathered}[/tex]now, the total outcomes is the total of cars
[tex]\text{total outcomes=40+13+29+26+10+14=132}[/tex]Finally, replace in the equation
[tex]\begin{gathered} P=\frac{favorable\text{ ourcomes}}{\text{total possible outcomes}} \\ p=\frac{109}{132} \\ P=0.83 \end{gathered}[/tex]so, the answer is 0.83
I hope this helps you
Related Questions
what represents the factorization of the trinomial below?[tex] {x}^{2} - x - 20[/tex]
Answers
The expression given is,
[tex]x^2-x-20[/tex]Factorize the expression above
[tex]\begin{gathered} Break\text{ the expressions into two groups} \\ \left(x^2+4x\right)+\left(-5x-20\right) \\ Factorize\text{ out the common terms} \\ =x\left(x+4\right)-5\left(x+4\right) \\ \mathrm{Factor\:out\:common\:term\:}x+4 \\ =\left(x+4\right)\left(x-5\right) \end{gathered}[/tex]Hence, the answer is
[tex]\left(x+4\right)\left(x-5\right)[/tex]Which equations can you solve to find the value of m choose all that apply
Answers
m = 7.50 + 12.50
m - 7.50 = 12.50
Explanation:Cost of the book = $7.50
Amount remaining on the gift card = $12.50
m = Amount on the gift card in dollars when Salim received it
Amount on the gift card in dollars when Salim received it = Cost of the book + Amount remaining on the gift card
m = $7.50 + $12.50
m = 7.50 + 12.50
Another form of the equation:
subtract 7.5 from both sides:
m - 7.50 = 7.50 - 7.50 + 12.50
m - 7.50 = 12.50
Hence, equation that can be used to solve m:
m = 7.50 + 12.50
m - 7.50 = 12.50
Use the sample data and confidence level given below to complete parts (a) through (d)A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1047 and x = 545 whosaid "yes." Use a 95% confidence level.A. find the best point of estimate of the population of portion p.B. Identify the value of the margin of error E. (E= round to four decimal places as needed.)C. Construct the confidence interval. (
Answers
a. The best point of estimate of the population of portion p is given by the formula:
[tex]p^{\prime}=\frac{x}{n}[/tex]where x is the number of successes x=545 and n is the sample n=1047.
Replace these values in the formula and find p:
[tex]p^{\prime}=\frac{545}{1047}=0.521[/tex]b. The value of the margin of error E is given by the following formula:
[tex]E=(z_{\alpha/2})\cdot(\sqrt[]{\frac{p^{\prime}q^{\prime}}{n}})[/tex]Where z is the z-score at the alfa divided by 2, q'=1-p'.
As the confidence level is 95%=0.95, then alfa is 1-0.95=0.05, and alfa/2=0.025
The z-score at 0.025 is 1.96.
Replace the known values in the formula and solve for E:
[tex]\begin{gathered} E=1.96\cdot\sqrt[]{\frac{0.521\cdot(1-0.521)}{1047}} \\ E=1.96\cdot\sqrt[]{\frac{0.521\cdot0.479}{1047}} \\ E=1.96\cdot\sqrt[]{\frac{0.2496}{1047}} \\ E=1.96\cdot\sqrt[]{0.0002} \\ E=1.96\cdot0.0154 \\ E=0.0303 \end{gathered}[/tex]c. The confidence interval is then:
[tex]\begin{gathered} (p^{\prime}-E,p^{\prime}+E)=(0.521-0.0303,0.521+0.0303) \\ \text{Confidence interval=}(0.490,0.551) \end{gathered}[/tex]d. We estimate with a 95% confidence that between 49% and 55.1% of the people felt vulnerable to identity theft.
What are the leading coefficient and degree of the polynomial?-8u^6-15+4u+18u^9
Answers
The degree of a polynomial is given by the higher exponent of the variable.
In this polynomial, we have terms with the variable with exponents 6, 0, 1 and 9.
Therefore the degree of the polynomial is 9.
The leading coefficient is the number that multiplies the variable with a higher exponent.
The leading term is 18u^9, so the leading coefficient is 18.
A survey of visitor at national park was conducted to determined the preferred activity. The survey results are shown in the table. Based on this information which prediction about the preferred activity for the next 200 visitors to the park is the most reasonable.
Answers
Given:
A survey of visitors at a national park is shown in the table.
a) The number of visitors who preferred champing is 28.
The number of visitors who preferred hiking tails is 22.
And The number of visitors who preferred champing is 6 more than visitors who preferred hiking tails.
Option a) is incorrect.
b) Hiking trails - water sports= 22-14=8
c) Water sports - biking trails = 14-16= -2
Option c) is incorrect.
d)
[tex]\begin{gathered} \text{Camping}=2\times water\text{ sports} \\ =2\times14 \\ =28 \end{gathered}[/tex]From the given options b) and d) shows the correct predictions.
Amoung these two options most reasonable is option d) for next 200 visitors.
5. Solve the system of equations by graphing. y = -x + 2 3x + 3y = 6
Answers
Answer:
The system of equations has infinite number of solutions.
The solution to the system of equations is any point on the line of the graph.
Explanation:
Given the system of equations;
[tex]\begin{gathered} y=-x+2 \\ 3x+3y=6 \end{gathered}[/tex]Plotting the two equations using a graph calculator we have;
From the graph, we can observe that the line of the two equations fall on each other.
That means that the equations are the same.
Therefore, the system of equations has infinite number of solutions.
The solution to the system of equations is any point on the line of the graph.
see attached for question and diagram
Answers
Given: D = (1,3) and E = (3,-3)
The graph of DE is as following:
a) Translation (0,2) then reflection on x-axis
So, at first move 2 units upward t hen reflect across x-axis
Note: the rule of reflection across x-axis: (x,y) to (x,-y)
the final result in green color
B) reflection in x-axis then clock wise rotation
(1,3) to (1,-3) to (-3 , -1)
(3,-3) to (3,3) to (3,-3)
Note : reflection cross x-axis will give the red dash line
Then make rotation for the red dash line will give the green line
12. On Monday, a museum had 150 visitors. On
Tuesday, it had 260 visitors.
a. Choose Efficient Methods Estimate the
percent change in the number of visitors to
the museum.
b. About how many people would have to visit
the museum on Wednesday to have the same
percent change from Tuesday to Wednesday
as from Monday to Tuesday? Explain your
answer.
Answers
a. The percent change in the number of visitors to the museum is 73.33%
b. The people that would have to visit the museum on Wednesday to have the same
percent change is 450.
How to calculate the percentage?From the information given, on Monday, a museum had 150 visitors. On Tuesday, it had 260 visitors. It should be noted that the increase will be:
= 260 - 150
= 110
The percentage increase will be:
= Increase in value / Original value × 100
= 110/150 × 100
= 73.33%
The number of people that should visit in Wednesday will be:
= 260 + (73.33% × 260)
= 260 + 190
= 450
Learn more about percentages on:
brainly.com/question/24304697
#SPJ1
If 9:x=x:4, then x = 3618246
Answers
Answer
Option D is correct.
x = 6
Explanation
9 : x = x : 4
To solve this, we know that ratios can be written in fraction form
(9/x) = (x/4)
[tex]\begin{gathered} \frac{9}{x}=\frac{x}{4} \\ \text{Cross multiply} \\ x^2=9\times4 \\ x^2=36 \end{gathered}[/tex]Take the square root of both sides
√(x²) = √(36)
x = 6
Hope this Helps!!!
Which method of finding probabilities do you prefer: lists, binompdf, binomcdf, nCr, etc.? Why?
Answers
For BinomPDF and BinomCDF we have a distribution that gives you the probability to have some number of successes, the difference is that PDF gives you only one specific number of successes, and the CDF gives you a range of successes probabilities.
Lists are the basic form to find a probability, you have to write all the cases and count the different groups of them, then divide by the total of cases.
NCR and NPR are the classic counting method to reach the number of combinations or permutations that a situation could have, is very useful and very quick to calculate the interest data or the number of combinations that may have a group of cases.
Countries represented at each festival 6 5 4 Number of festivals 3 N 1 0 0-5 6-11 12-17 18-23 24-29 Number of countries How many festivals had 12 or more countries represented.
Answers
11 festivals
Explanation
to find the nunmber of festivals that had 12 or more countries, sum the festivals for all values in number of countries greather than 12, it its
[tex]\begin{gathered} \text{column 3 (12-17)=5 festivals} \\ \text{column 4(18-23)=4 festivals} \\ column5(24-29)=2\text{ festivals} \\ so,\text{ the total of festivals for 12 or more countries is} \\ \text{total}=5+4+2 \\ total=11\text{ festivals} \end{gathered}[/tex]I hope this helps you
A person who wants to get in shape goes to a local gym that advertises 31 training sessions for $1908. Find the cost of 133 training sessions. Round your answer to the nearest cent.
Answers
According to the given data we have the following:
31 training sessions=$1908
In order to calculate the cost of 133 training sessions we would have to apply the 3 rule.
So, if 31 training sessions__________________$1908
133 training sessions______________________x
Therefore, x=(133 training sessions*$1908)/31 training sessions
x=$253,764/31 training sessions
x=$8,186
The cost of 133 training sessions would be $8,186
A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The ball’s height h (in meters) after t seconds is given by the following. h=3+30t-5t^2 Find all values of t for which the ball’s height is 13 meters. Round your answer(s) to the nearest hundredth.
Answers
Answer:
The values of t for which the ball's height is 13 meters is;
[tex]\begin{gathered} t=0.35\text{ s} \\ or \\ t=5.65\text{ s} \end{gathered}[/tex]Explanation:
The function of the ball's height h (in meters) is given as;
[tex]h=3+30t-5t^2[/tex]the value of time t for which the ball's height is 13 meters, can be derived by substituting h=13 into the function of h.
[tex]\begin{gathered} h=3+30t-5t^2 \\ 13=3+30t-5t^2 \\ 3+30t-5t^2=13 \end{gathered}[/tex]subtract 13 from both sides and solve the quadratic equation;
[tex]\begin{gathered} 3+30t-5t^2-13=13-13 \\ -5t^2+30t-10=0 \end{gathered}[/tex]solving the quadratic equation, using the quadratic formula;
[tex]\begin{gathered} t=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ t=\frac{-30\pm\sqrt{30^2-4\times-5\times-10}}{2\times-5} \\ t=\frac{-30\pm\sqrt{900-200}}{-10} \\ t=\frac{-30\pm\sqrt{700}}{-10} \\ t=0.3542=0.35 \\ or \\ t=5.64575=5.65 \end{gathered}[/tex]The values of t for which the ball's height is 13 meters is;
[tex]\begin{gathered} t=0.35\text{ s} \\ or \\ t=5.65\text{ s} \end{gathered}[/tex]7. Translate the following Marco has $6 less than Ann has
Answers
Solution:
Let x represent the amount Marco has,
let y represent the amount Ann has.
Given that Marcos has $6 less than Ann has, this implies that
[tex]\begin{gathered} x=y-6 \\ \end{gathered}[/tex]Ann has
[tex]y[/tex]Marco has
[tex]y-6[/tex]To raise money for charity, Bob and some friends are hiking across the continent of Asia. While out on the trail one day, one of his Jordian friends asks Bob for the temperature. He glances at his precision sports watch and sees that the temperature is -12.9 F. What is this temperature in degrees C Celsius ()?
Answers
ANSWER
[tex]-24.9[/tex]EXPLANATION
Given;
[tex]-12.9F[/tex]To convert to degree Celsius, we use the formula;
[tex]\begin{gathered} \frac{5}{9}(F-32) \\ \\ \end{gathered}[/tex]Substituting F;
[tex]\begin{gathered} \frac{5}{9}(-12.9-32) \\ =\frac{5}{9}\times-44.9 \\ =-\frac{224.5}{9} \\ =-24.94 \\ \cong-24.9 \end{gathered}[/tex]10÷5+10-9×1110 / 5 + 10 - 9 * 11 equals what
Answers
Follow the order to solve polynomials
1. Powers and roots
2. Divisions and products
3. Sums and substractions
[tex]\begin{gathered} \frac{10}{5}+10-9\cdot11 \\ 2+10-99 \\ 12-99 \\ -87 \end{gathered}[/tex]The answer is -87
17 * 7*20000000000000
Answers
Here, we want to multiply the given terms
The best way to go about this
Answer: 2.38e+15
Step-by-step explanation:
Suppose y = 6x −5. Find y if:x = −1/6y = ?
Answers
To find y, you can follow the steps:
Step 1: Substitute x by -1/6 in the equation.
[tex]\begin{gathered} y=-6x-5 \\ y=6\cdot(-\frac{1}{6})-5 \end{gathered}[/tex]Step 2: Solve the equation.
[tex]\begin{gathered} y=-\frac{6}{6}-5 \\ y=-1-5 \\ y=-6 \end{gathered}[/tex]Answer : y = -6.
14. To surf the internet at the Airport costs $20,40 for 20 minutes and it costs $26.25 for 35minutes. How much would it cost to surf the internet for exactly 55 minutes.
Answers
Cost = $20.40 / 20 min
Cost = $26.25 / 35 min
To calculate the cost to suft 55 min just add the previous values given
Cost = 20.40 + 26.25
= $46.65
Look at the graph of f(x). Which of the following are true? Select all that apply. 2 answers
Answers
Answer:
Explanation:
Answer:
A. [tex]f(x)[/tex] is [tex]y=sec(x-\pi )[/tex] shifted 6 units up.
C. [tex]f(x)[/tex] is [tex]y=sec(x)+6[/tex] shifted [tex]\pi[/tex] units to the left.
Step-by-step explanation:
If you guessed the answer to this question, or did not answer, go back and review how to write to equation of a trigonometric function.
Your welcome...
9. (a) The diagram below, not drawn to scale, shows a circle, where two lines intersect at point C. The points A, B, D and I lie on the circumference of the circle Note that ABDE is a right-angled triangle and BD is the diameter of the circle. A 66° D 78° C E B Determine, giving a reason for your answer, (1) ВСЕ 121 (ii) BDE 121 (iii) DBE 121
Answers
(i)
The angle 78° is supplementary to the angle BCE. Then we have:
[tex]\begin{gathered} 78\degree+B\hat{C}E=180\degree \\ B\hat{C}E=180\degree-78\degree \\ B\hat{C}E=102\degree \end{gathered}[/tex](ii)
When the vertex of a angle formed by two segments is located on the circle, the corresponding arc formed by the two segments is the double of the angle. Then we have:
[tex]\begin{gathered} B\hat{A}E=B\hat{D}E=\frac{arc\text{ BR}}{2} \\ B\hat{A}E=66\degree \\ \therefore B\hat{D}E=66\degree \end{gathered}[/tex](iii)
Since BDE is a right triangle, we have:
[tex]\begin{gathered} D\hat{B}E+B\hat{D}E+90\degree=180\degree \\ D\hat{B}E+66\degree+90\degree=180\degree \\ D\hat{B}E=180\degree-90\degree-66\degree \\ D\hat{B}E=24\degree \end{gathered}[/tex]cam you show me the conversion from mm to cm to m to dm to km please
Answers
To determine the conversion from mm to cm to m to dm to km:
[tex]\begin{gathered} \operatorname{mm}\text{ => Millimtere} \\ \operatorname{cm}=>\text{centimetre} \\ m\Rightarrow\text{ metre} \\ dm\Rightarrow\text{ decimetre} \\ \operatorname{km}-\text{kilometre} \end{gathered}[/tex]Conversion from mm to cm =
[tex]10\text{ mm }\Rightarrow\text{ 1 cm}[/tex]Conversion from cm to m
[tex]100\operatorname{cm}\Rightarrow\text{ 1m}[/tex]Conversion from m to dm
[tex]1m\Rightarrow\text{ 10dm}[/tex]Conversion from dm to km
[tex]10000dm\Rightarrow\text{ }1\text{ km}[/tex]Hence the correct conversion are
10 mm = 1 cm
100 mm = 1 dm
1000 mm = 1 mm
1000000 mm = 1 km
I hope you are having a blessed day. Question is attached as a screenshot. Thank you :)
Answers
Solution:
Given the graphs of
[tex]\begin{gathered} y=x, \\ y=-x+4, \\ y=0 \end{gathered}[/tex]to be as plotted below:
The region ABC is bounded as shown above.
To find its area, the region ABC takes the shape of a triangle. Thus, we are to evaluate the area of the triangle ABC.
Step 1: Evaluate the midpoint between the distance AB.
The midpoint (x,y) of the distance AB is evaluated as
[tex]\begin{gathered} (x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \text{where} \\ x_1=0,y_1=0,x_2=2,y_2=2 \\ \text{thus,} \\ (x,y)=(\frac{0+2}{2},\frac{0+2}{2}) \\ =(1,1) \end{gathered}[/tex]Thus, the midpoint of the distance AB is (1,1).
Step 2: Evaluate the height of the region (triangle).
The height of the region is the same as the distance between points A and the midpoint of the distance AB.
Thus,
The distance is evaluated as
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{where} \\ x_1=2,y_1=2,x_2=1,y_2=1 \\ \text{thus,} \\ d=\sqrt[]{(1_{}-2_{})^2+(1_{}-2_{})^2} \\ =\sqrt[]{(-1_{})^2+(-1_{})^2} \\ =\sqrt[]{1+1} \\ d=\sqrt[]{2} \end{gathered}[/tex]Step 3: Evaluate the distance between points B and C.
The distance is evaluated similarly as
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{where} \\ x_1=0,y_1=0,x_2=4,y_2=0 \\ \text{thus,} \\ d=\sqrt[]{(4_{}-0_{})^2+(0_{}-0_{})^2} \\ =\sqrt[]{4^2+0^2} \\ d=4\text{ units} \end{gathered}[/tex]Step 4: Evaluate the area of the triangle ABC.
Given that the distance BC is 4 units and the height of the region is √2 units, the area of the region ABC is evaluated as the area of the triangle ABC.
Thus,
[tex]\begin{gathered} \text{Area = }\frac{1}{2}\times4\times\sqrt[]{2} \\ \Rightarrow Area\text{ =2}\sqrt[]{2} \end{gathered}[/tex]Hence, the area of the region is
[tex]2\sqrt[]{2}[/tex]The fourth option is the correct answer.
Which of the following names the figure in the diagram below?
O A. Triangle
O B. Prism
O C. Polygon
O D. Pyramid
O E. Cylinder
O F. Cube
Answers
Step 1
A triangular prism is a 3D shape that looks like an elongated pyramid. It has two bases and three rectangular faces.
Step 2:
A triangular prism has two triangular bases and three rectangular sides and is a pentahedron because it has five faces. Camping tents, triangular roofs and "Toblerone" wrappers -- chocolate candy bars -- are examples of triangular prisms.
Final answer
B. Prism
A diver ascended 9/10 of a meter in 1/10 of a minute. What was the diver's rate of ascent?Show your work.
Answers
According to the given data we have the following:
A diver ascended 9/10 of a meter in 1/10 of a minute, hence a full minute=10/10 becuase 9/10*1/10=10/10
Therefore, in order to calculate the diver's rate of ascent we would make the following calculation:
diver's rate of ascent=9/10*10
diver's rate of ascent=9
Therefore, the rate would be 9 meters per minute
Find mZ1 in the picture below.1(3y² + 2y – 10)(2y² + 7y + 4)
Answers
m∠1=29
In this question,
1) Since we have, vertical angles, whose measure are written as polynomials then we can write according to the Vertical angles theorem:
3y² + 2y – 10 =2y² + 7y + 4
3y²-2y² -7y+2y-10-4=0
y²-5y-14=0
1.1) Finding the roots by Sum and Product
S(x) = ___ +___ = -5
P(x) =____ x ___ = -14
x1=-2 or 7
Since our Domain, cannot allow negative numbers, let's keep the positive one 7
2) Moreover to that, m∠1 + 2y² + 7y + 4 = 180º
m∠1 +2(7)²+7(7)+4=180
m∠1 +151 =180
m∠1=180-151
m∠1=29
Hi, can you help me answer this question please, thank you
Answers
The confidence interval 219.9 ± 57.6 is just equal to:
219.9 - 57.6 = 162.3
219.9 + 57.6 = 277.5
The confidence interval 219.9 ± 57.6 can also be written as between 162.3 and 277.5. In trilinear inequality, it is:
[tex]162.3<\mu<277.5[/tex]Match the following items.1. (-14) + 81 = 81 + (-14)commutative property of addition312424 +. 15associative property of addition2.(24 + 15)3313 173.= 117 134. -72 + 0 = -72distributive propertymultiplicative inverse5. 101 + (29 +417) = (101 +29) + 417additive identity
Answers
The Solution.
1.
[tex](-14)+81=81+(-14)\text{ }\Rightarrow Commutative\text{ property of addition}[/tex]2.
[tex]\frac{1}{3}(24+15)=\frac{1}{3}.24+\frac{1}{3}.15\text{ }\Rightarrow\text{ Distributive property}[/tex]3.
[tex]\frac{13}{17}\times\frac{17}{13}=1\text{ }\Rightarrow Multiplicative\text{ inverse}[/tex]4.
[tex]-72+0=-72\text{ }\Rightarrow\text{ }Additive\text{ Identity}[/tex]5.
A swim team consist of seven boys and four girls a relay team of four swimmers is chosen at random from the team members what is the probability that three boys are selected for the relay team given that the first selection was a girl express your answer as a fraction in lowest terms or a decimal rounded to the nearest million
Answers
At start, we have:
- 7 boys
- 4 girls
It is given that the first selection was a girl. Since there were 4 girls, there is 3 left to be picked. So we have:
- 1 girl picked
- 7 boys to be picked
- 3 girls to be picked
We want the next 3 pickes to be boys.
The probability that the first pick will be a boy is the number of boys to be picked from over the total team left to be picked from. We have 7 boys and a total of 7 + 3 = 10 members, so:
[tex]P_1=\frac{7}{10}[/tex]Next, we want another pick of boy, but now we have got only
- 6 boys
- 3 girls
So, the probability of the second pick to be boy is:
[tex]P_2=\frac{6}{9}[/tex]And for the third, we have:
- 5 boys
- 3 girls
Probability of
[tex]P_3=\frac{5}{8}[/tex]Since we want these three to occur, the final probability is the product of them:
[tex]P=P_1\cdot P_2\cdot P_3=\frac{7}{10}\cdot\frac{6}{9}\cdot\frac{5}{8}=\frac{7}{1}\cdot\frac{1}{3}\cdot\frac{1}{8}=\frac{7}{24}[/tex]So, the answer as a fraction in the lowest form is:
[tex]\frac{7}{24}[/tex]Rewrite the equation in standard form. Y+3=-(x-5)
Answers
To rewrite the given equation (point slope) into standard form:
1. Remove parentheses: Multiply each term in the parentheses by -1:
[tex]\begin{gathered} y+3=(-1)(x)+(-1)(-5) \\ \\ y+3=-x+5 \end{gathered}[/tex]2. Add x in both sides of the equation:
[tex]\begin{gathered} x+y+3=-x+x+5 \\ x+y+3=5 \end{gathered}[/tex]3. Subtract 3 in both sides of the equation:
[tex]\begin{gathered} x+y+3-3=5-3 \\ x+y=2 \end{gathered}[/tex]Then, the given equation in standard form is: x+y=2