Answers
The probability that a student walks to school is 7/15
How to determine the probability of walking to school?The tree diagram represents the given parameter
From the tree diagram, we have the following parameters
P(Rain) = 2/5
P(Rain and walk) = 1/6
P(No rain) = 3/5
P(No rain and walk) = 2/3
The probability of walking to school is then calculated as
P = P(Rain) x P(Rain and walk) + P(No rain) x P(No rain and walk)
Substitute the known values in the above equation
So, we have
P = 2/5 x1/6 + 3/5 x 2/3
Evaluate the products
P = 1/15 + 6/15
Evaluate the sum
P = 7/15
Hence, the probability is 7/15
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Related Questions
Select which of these transformations is hardest for you to write using algebraic notation.
Then in the blank below offer your classmates some advice on how to write the transformation successfully.
Answers
The first transformation is the hardest to write using algebraic notation.
What is graph transformation?The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.
Notice the first figure, the graph is translated 4 units to the left.
But, the second figure shows a vertical stretch of 2 times.
Let the function be y=f(x).
Then, the translation 4 units to the left using algebraic notation is written as:
y = f(x+4)
And, the vertical stretch of two times is:
y = 2f(x)
Clearly, the first transformation is the hardest to write using algebraic notation.
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What is the answer to this equation: -13<2x+5<15
Answers
-9
i need help 9% of 71 and 126% of 80
Answers
Answer:
6.39 and 100.8
Step-by-step explanation:
To find a certain percent of a number, convert the percent to a decimal and multiply them together
0.09 * 71 = 6.39
1.26 * 80 = 100.8
- What is the perimeter of a right triangle witha hypotenuse that measures 6 square root 5 cm and onealeg that measures 4 square root 5 cm
Answers
parents have raised major concerns over a school district's proposed experiment to examine the effectiveness of removing math tracks and instead placing all students into one open math class. in response, the school district has decided not to randomly assign students to be placed in tracked or non-tracked math classes. instead, the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group. which methodological problem is very likely under this scenario? g
Answers
Since the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group, the type of design that the school district has implemented is a. matched design.
What is a matched design?
A matched group design is an experimental layout where the study subjects are selected because their variables match.
Therefore, In a matched pairs design, study participants are matched according to important variables or shared traits that are pertinent to the study's subject. The second step involves assigning one member of each pair to the control group and the other to the experimental group.
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See full question below
Parents have raised major concerns over a school district's proposed experiment to examine the effectiveness of removing math tracks and instead placing all students into one open math class. In response, the school district has decided not to randomly assign students to be placed in tracked or non-tracked math classes. Instead, the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group.
which methodological problem is very likely under this scenario
Select one:
a. matched design
b. pre-post design
c. nonequivalent comparison design
d. multiple time-series design
mnm corporation gives each of its employees an aptitude test. the scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. a simple random sample of 25 is taken from a very large population. what is the probability that the average aptitude test score in the sample will be less than 78
Answers
a) The expected value is 75, the standard deviation is 3 and the shape is approximately normal.
b) 0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.
c) 0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.
d) 0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.
e) The value of C = 81.51.
What is meant by Normal probability distribution?When the distribution is normal, we use 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 calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]$\mu$[/tex] and standard deviation [tex]$\sigma$[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]$\mu$[/tex] and standard deviation [tex]$s=\frac{\sigma}{\sqrt{n}}$[/tex].
The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15.
This means that [tex]$\mu=75, \sigma=15$[/tex]
a. By the Central Limit Theorem, it will be approximately normal, with expected value [tex]$\mu=75$[/tex] and standard deviation [tex]$s=\frac{15}{\sqrt{25}}=3$[/tex]
b. The p-value of Z when X = 82.14 subtracted by the p-value of Z when X = 70.14.
X = 82.14
[tex]$Z=\frac{X-\mu}{\sigma}$[/tex]
By the Central Limit Theorem
[tex]$Z=\frac{X-\mu}{s}$[/tex]
[tex]$Z=\frac{82.14-75}{3}$[/tex]
Z = 2.38
Z = 2.38 has a p-value of 0.9913.
[tex]$Z=\frac{X-\mu}{s}$[/tex]
substitute the values in the above equation, we get
[tex]$Z=\frac{70.14-75}{3}$[/tex]
Z = -1.62 has a p-value of 0.0526
0.9913 - 0.0526 = 0.9387
0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.
c. This is 1 subtracted by the p-value of Z when X=82.68.
[tex]$Z=\frac{X-\mu}{s}[/tex]
substitute the values in the above equation, we get
[tex]$&Z=\frac{82.68-75}{3} \\[/tex]
Z = 2.56 has a p-value of 0.9948.
1 - 0.9948 = 0.0052
0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68
d. This is the p-value of Z when X=78.69. So
[tex]$&Z=\frac{X-\mu}{s} \\[/tex]
substitute the values in the above equation, we get
[tex]$&Z=\frac{78.69-75}{3} \\[/tex]
Z = 1.23 has a p-value of 0.8907
0.8907 = 89.07 % probability that the average aptitude test in the sample will be less than 78.69.
e. Find a value, C, such that P((x>C) = 0.015.
This is X when Z has a p-value of 1 - 0.015 = 0.985.
So X when Z = 2.17.
[tex]$Z=\frac{X-\mu}{s}$[/tex]
substitute the values in the above equation, we get
[tex]$2.17=\frac{X-75}{3}$[/tex]
X - 75 = 3 × 2.17
X = 81.51
Therefore, the value of C = 81.51
The complete question is:
MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?
b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
c. What is the probability that the average aptitude test in the sample will be greater than 82.68?
d. What is the probability that the average aptitude test in the sample will be less than 78.69?
e. Find a value, C, such that P(( x>C) = .015.
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a linear function has the rule shown
input: a number
output: 8 less than 3 times x
which equation represents this rule
(100 POINTS!!!)
Answers
I’m pretty sure
1.64285714286
Round up the number
Answers
Answer: 1.6 or 2
Step-by-step explanation:
If you are rounding it to the nearest tenths then the answer is 1.6 but if you are rounding to the nearest whole number then its 2.
Math
classify each polynomial below as monomial, binomial or trinomial
Answers
Answer:
1) trinomial
2) binomial
3) binomial
4) trinomial
5) monomial
Step-by-step explanation:
Monomial: 1 term
Binomial: 2 terms
Trinomial: 3 terms
Terms are separated by plus and minus signs.
1) trinomial
2) binomial
3) binomial
4) trinomial
5) monomial
For a science fair project, Cora tracked the temperature each day. Temperature reading (°C) Number of temperature readings 6 2 22 3 25 1 35 1 2 42 1 X is the temperature that a randomly chosen temperature reading was. What is the expected value of X? Write your answer as a decimal.
Answers
We get that the expected temperature is
[tex]\begin{gathered} E(T)=6\cdot\frac{2}{10}+22\cdot\frac{3}{10}+25\cdot\frac{1}{10}+35\cdot\frac{1}{10}+41\cdot\frac{2}{10}+42\cdot\frac{1}{10} \\ E(T)=26.2 \end{gathered}[/tex]help me pleaze its hard !!
Answers
Answer:
Angle YVX = 59°
Angle Y = 85°
x = 3
Step-by-step explanation:
You got the first two correct.
The last bit, use the fact that the shape is a parallelogram, the opposite sides are equal.
2x = 6
x = 3
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
The answer is 43
Step-by-step explanation:
Remember that the sum of the angles of all triangles is 180 degrees.
80+57+x=180
137+x=180
x=43
Which of the following values make the inequality x≤16.3 truea 18.5b 8c 1/4d 32e -3f 16.3
Answers
SOLUTION
We want to find which of the following values make the inequality
x ≤ 16.3 to be true.
This inequality means that x is equal to 16.3 or less than 16.3. So the numbers that fall under this are numbers smaller than 16.3 and also 16.3.
The numbers that fall under here are 8, 1/4, -3 and 16.3
Hence the answer b, c, e and f
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 onyour next turn, you win the game. What is the probability of winning on your next turn? Express your answer asa percent. If necessary, round your answer to the nearest tenth.O 1.2%O 13.9%O 77.8%O 22.2%
Answers
When rolling two dice the possible outcomes are:
Probability is calculated as follows:
[tex]\text{probability = }\frac{\text{ number of favorable outcomes}}{total\text{ number of outcomes}}[/tex]There is a total of 6x6 = 36 possible outcomes. From the table, we can see that 5 of them are a 6 and 3 of them are a 10. Then, the number of favorable outcomes is 5 + 3 = 8. Therefore, the probability of winning on your next turn is:
[tex]\begin{gathered} \text{probability = }\frac{8}{36} \\ \text{probability = }0.222 \\ \text{ Expressed as a percent, that is,} \\ \text{probability = }0.222\cdot100=22.2\text{ \%} \end{gathered}[/tex]a new over-the-counter medicine to treat a sore throat is to be tested for effectiveness. the makers of the medicine take two random samples of 25 individuals showing symptoms of a sore throat. group 1 receives the new medicine and group 2 receives a placebo. after a few days on the medicine, each group is interviewed and asked how they would rate their comfort level 1-10 (1 being the most uncomfortable and 10 being no discomfort at all). the results are below. find the 95% confidence interval in the difference of the mean comfort level. is there sufficient evidence to conclude that the new medicine is effective? assume the data is normally distributed with unequal variances. (round answers to 4 decimal places) make sure you put the 0 in front of the decimal. average group 1
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A confidence interval exists "a range of values that's likely to contain a population value with a certain degree of confidence.
In case the 95 % confidence interval would be given by
[tex]$0.582 \leq \mu_1-\mu_2 \leq 3.178$[/tex]
What is meant by confidence interval?A confidence interval exists "a range of values that's likely to contain a population value with a certain degree of confidence. It exists often denoted a % whereby a population means lies between an upper and lower interval".
The margin of error exists the range of values below and above the sample statistic in a confidence interval.
Normal distribution, exists a "probability distribution that exist symmetric about the mean, showing that data near the mean exists more frequent in occurrence than data far from the mean".
[tex]$\bar{X}_1=5.84$[/tex] represent the sample mean 1
[tex]$\bar{X}_2=3.96$[/tex] represent the sample mean 2
n 1 = 25 represent the sample 1 size
n 2 = 25 represent the sample 2 size
[tex]$s_1=2.211334$[/tex] sample standard deviation for sample 1
[tex]$s_2=2.35372$[/tex] sample standard deviation for sample 2
[tex]$\mu_1-\mu_2$[/tex] parameter of interest.
The confidence interval for the difference of means exists given by the following formula:
[tex]$\left(\bar{X}_1-\bar{X}_2\right) \pm t_{\alpha / 2} \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}} \text \dots{ (1) }$$[/tex]
The point of estimate for [tex]$\mu_1-\mu_2$[/tex] exists just given by:
[tex]$\bar{X}_1-\bar{X}_2=5.84-3.96=1.88$$[/tex]
In order to estimate the critical value [tex]$t_{\alpha / 2}$[/tex] we require to estimate first the degrees of freedom, given by:
[tex]$d f=n_1+n_2-1=25+25-2=48$$[/tex]
Since the Confidence is 0.95 or 95 %, the value of [tex]$\alpha=0.05$[/tex]and α 2 = 0.025, and we can utilize excel, a calculator or a table to estimate the critical value. The excel command would be: " = -T.INV (0.025, 48) ". And we see that [tex]$t_{\alpha / 2}=2.01$[/tex]
In order to replace into formula (1), we get
[tex]$1.88-2.01 \sqrt{\frac{2.211334^2}{25}+\frac{2.35372^2}{25}}=0.582$[/tex]
[tex]$1.88+2.01 \sqrt{\frac{2.211334^2}{25}+\frac{2.35372^2}{25}}=3.178$[/tex]
In case the 95 % confidence interval would be given by
[tex]$0.582 \leq \mu_1-\mu_2 \leq 3.178$[/tex]
Because all the values for the confidence interval are higher than 0, we may infer that there are significant differences between the means of the two groups in this case, with the mean for group 1 (Medicine) being considerably higher than the mean for group 2 (Placebo) at 5% of significance.
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how do you solve for -2x + 6y = 18
Answers
Answer: x=-3(-y+3)
Step-by-step explanation:
The table shows the distances between major cities.
New York to Paris 3,636 miles
Los Angeles to Toronto 2,171 miles
Mr. Santiago has a flight from Los Angeles to Toronto. If the plane travels at 520 miles per hour, how many hours long is the flight?
__ hours
Answers
Answer:
The time take for the journey can be calculated by dividing the total distance by the distance travelled in an hour.
Which is 2171 (Total distance) / 520 (Distance travelled in a hour)
[tex]2171/520 = 4.175[/tex]
Which can be rounded of to 4.2
It takes 4.2 hours for the flight between Los Angeles and Toronto
bad photo but its 8 6 20 x
PLEASE ANYONE ANSWER ASAP!!!!
Answers
Since 6 is 75% of 8
X should be 75% of 20 therefore being 15
In parallelogram ABCD, diagonals AC and BD intersect at point E, BE=x+21, and DE=4x.
What is BD?
Enter your answer in the box.
Answers
Answer:
BD = 56
Step-by-step explanation:
x + 21 = 4x
3x = 21
x = 7
x + 4x + 21
5x + 21
35 + 21
56
I have the problem as a picture, can I show u?
Answers
corresponding (option D)
Explanation:Since the lines are parallel and a tranversal line cuts the two lines:
The angle 2 at the top of the first line correspods to angle 6 at the top of the second line.
Angle 2 and angle 6 are equal.
Hence. we say angle 2 and angle 6 are corresponding angles (option D)
Help Me Please
A B, C, or D.
Answer correctly
Answers
Answer: D
Step-by-step explanation:
as when 3746 is rounded to the nearest hundred t is 4000
whereas when 3746 is rounded to the nearest ten it is 3800.
4000 is larger than 3800 so the answer is D.
In a bar graph the length of the bar need not be in proportion to the information being shown.
True
False
Answers
In a bar graph the length of the bar need not be in proportion to the information being False.
Bar graph. A bar chart is frequently used to compare values of different things at a specific time. It presents information visually using rectangles (bars). It generally serves as a visual aid for proportions, patterns, comparisons, and contrasts.
How do you describe a bar graph?To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (several bars that compare values in a category), and stacked bars can all be used to construct bar graphs (bars containing multiple types of information).
A relationship is proportionate if its graph is a line or ray that passes through the origin. It is not proportionate if the line or ray does not go through the origin. Additionally, something is not proportionate if it is not linear.
comparisons of several variables that are simple. clarity in the presentation of data trends. Simple value determination.
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3x
2
-6y^{2}−6y
2
+7+7-2−2-2y^{3}−2y
3
-6y^{3}−6y
3
-5−5
Answers
Answer:
Step-by-step explanation:
2
3x + y =-12x
Answer:
Step-by-step explanation:
y= 2
45−6x
2−3 y=
2− 45−6x
2 −3 , ∣x∣≤ 2
30
2p+3/3=4p-7/2
what are all the steps to solve this problem?
Answers
it's 27/8 .........................
Which are the solutions of the equation x^4-5x^2-14=0? Use factoring to solve.
Answers
Answer:
x = ±√7 and x=±i√2
Step-by-step explanation:
x^4-5x^2-14=0
Factor
(x^2 - 7) ( x^2 +2) =0
Using the zero product property
x^2 -7 =0 x^2 + 2 =0
x^2 =7 x^2 = -2
Taking the square root of each side
(x^2)^1/2 =7^1/2 ( x^2)^1/2 = (-2)^1/2
x = ±√7 x=±i√2
Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
50 POINTS + BRAINLY FOR CORRECT ANSWER!!!
Answers
Graph 2: -3
Graph 3: 1/3
Graph 4: -1/3
Answer
Graph 1 = 1/3 slope
Graph 2 = -1/3 slope
Graph 3 = 3 slope
Graph 4 = -3 slope
I found these by counting rise over run,
or y/x to points on the line that cross the x or y axis.
The graphs that have a line that go up from left to right are positive slopes
The graphs that have a line that go down from left to right are negative slopes
Problems solved!
I need help what is
3/6i answer
Answers
Answer:
See below
Step-by-step explanation:
3 / (6i) = 3 / (6 * sqrt(-1) )
To rationalize the denominator , multiply both top and bottom of the fraction by ( 6i)
= 18i / ( 6i * 6i) = 18i / (36 i^2 ) = 18 i / (-36 ) = - i/2
102 plus what equals 180
Answers
Answer:
78
Step-by-step explanation:
80-2+78 soo,
78+2 +80 with means 102+78 =180
Answer:
102 + 78 = 180
Step-by-step explanation:
Paul bought 1 7/8 m of fabric to make a shirt, while Rita bought 1 3/4 m to make her shirt. How much MORE fabric did Paula buy then Rita?
Answers
Fabric bought by Paul and Rita to make a shirt was 1 7/8 m and 1 3/4 m respectively , Paul bought 1/8 m more than Rita.
As given in the question,
Length of fabric bought by Paul to make his shirt = 1 7/8 m
Length of fabric bought by Rita to make his shirt = 1 3/4 m
Convert length of fabric into proper fraction
Paul fabric = 1 7/8 m
= 15 /8 m
Rita fabric = 1 3/4 m
= 7 /4 m
Length of Paul fabric more than Rita
Length of more fabric bought by Paul than Rita = (15 /8) - ( 7/4)
= (15/8) - (14/8)
= 1/8 m
Therefore, fabric bought by Paul and Rita to make a shirt was 1 7/8 m and 1 3/4 m respectively , Paul bought 1/8 m more than Rita.
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The equation 9(u + 2) = -45 is solved in several steps below. For each step, choose the reason that best justifies it.
Answers
Step 1: Distributive property:
Step 2: Subtraction Property of Equality
Step 3: Simplifying
Step 4: Division property of equality
Step 5: Simplifying
Explanation:Given the expression
9(u + 2) = -45
Step 1: Expand using the Distributive property:
9u + 9(2) = -45
9u + 18 = -45
Step 2: Subtract 18 from both sides (Subtraction property of equality)
9u + 18 - 18 = -45 - 18
Step 3: Simplifying
9u = -63
Step 4: Divide both sides by 9 (Division property of equality)
9u/9 = -63/9
Step 5: Simplifying
u = -7