If she can play, the coach estimates they will score 78 points. If she is not able to play, the coach estimates they will score 62 points. The team doctor estimates there is a 60-40 chance she will play.
Therefore, P(x) Outcome Expected Value: 71.6 %
Given in the question:
If she is playing, estimate score is 78 points.
If she is not playing, estimated score is 62 points.
chances : 60% to 40%
Therefore, the expected outcome value is :
P(X) = 78 × 60% + 62× 40%
= 71.6%
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out of 270 racers who started the marathon, 243 completed the race, 19 gave up, and 8 were disqualified. what percentage did not complete the marathon? %
The percentage is 10% who did not complete the marathon. It can be calculted using the formula of percentage.
What is percentage?
It is way of writting any number as a fraction of 100. Its symbol is % . It is a dimention less qunatity.
Total participants = 270
Number of participants completed the marathon = 243
Number of participants gave up = 19
Number of participnats disqualified = 8
Total number of participants who did not completed the merathon is the sum of participants who gave up and who did not qualified = 19 + 8 =27
Now, percentage of participants who did not complete the marathon is,
[tex]\frac{\text{Number of participants did not complete}}{\text{Total participants}}\times100\\=\frac{27}{270}\times100\\=10\%[/tex]
Hence, 10% did not complete the marathon.
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Suppose that insurance companies did a survey. They randomly surveyed 430 drivers and found that 330 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up.
a) x = ? b) n = ? c) p' = ? d)
Which distribution should you use for this problem? (Round your answer to four decimal places.)
P- (_) (_,_)
e) Construct a 95% confidence interval for the population proportion who claim they always buckle up.
i. state the confidence interval
ii. sketch graph
iii. calculate error bound
The 95% confidence interval for the population proportion who claim they always buckle up is 0.0204.
a) x: 330
b) n: Number of drivers who are surveyed = 430
c) p': proportion of drivers in a sample who claimed to always buckle up = 0.7674
d) normal distribution should be used for this problem.
e) 95% confidence interval for the population proportion who claim they always buckle up.
The error margin is:
1.96 × sqrt(p(1-p) ÷ n)
1.96 × sqrt(0.7674 × 0.2326 ÷ 430) = 0.0204
(0.7674 - 0.0204,0.7674 + 0.0204) = (0.747, 0.7878)
The confidence interval is (0.747, 0.7878).
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Please help with this question. I need help this is too hard for my friend and I do not have time.
The frequency table formed using tally marks can be analyzed by using the numbers indicated by the tally marks as follows;
The true statements are as follows;
Twice as many students prefer green than purpleTwo more students prefer blue than purpleThe same number of students prefer yellow or purple as the number who prefer blueWhat are tally marks in a frequency table?Tally marks makes use of vertical lines to represent data, in which the fifth count is represented by a diagonal line across four vertical lines;
The data in the table are as follows
The number of students that prefer red = 5 + 1 = 6
The number of students that prefer yellow = 2
The number of students that prefer Blue = 5
The number of students that prefer purple = 3
The number of students that prefer Green = 6
Therefore;
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Denise works for a company where the IT department charges her department for actual usage of a SharePoint server, determining how often users log in and how much storage space her department consumes. What type of IT funding model is the company deploying?
chargeback
The company is deploying chargeback type of IT funding model where the IT department charges her department for actual usage of a SharePoint server, determining how often users log in and how much storage space her department consumes.
What is IT funding model?A financing model is a planned, institutionalized strategy for creating a steady income stream to sustain an organization's core services and operations. Nonprofits need funding because it enables them to make investments in their operations and increase their overall effect. Securing funding is crucial to keeping your organization operational because nonprofits frequently rely on grants to assist with operational costs. Grants of all kinds are available to nonprofit organizations.
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a spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. at what rate is the volume of the snowball decreasing when the diameter is 8 cm
20.11 cm3/min is the rate at which the snowball's volume is decreasing.
Given,
The decreasing diameter when the spherical ball is melting = 0.2 cm/min
We have to find the rate in decrease in volume of snowball when diameter is 8 cm.
Here,
Volume of sphere, V = 4/3 π r³ = 4/3 π (D/2)³ = 1/6 π D³
Considering differences according to time,
dV/dt = d/dt (1/6 π D³) = 1/6 π × 3D² dD/dt
dV/dt = 1/2 π D² dD/dt
Substituting
D is 8 cm, and the diameter is changing at a rate of 0.2 cm/min.
dV/dt = 1/2 π D² dD/dt
dV/dt = 1/2 × π × 8² × 0.2 = 20.11 cm³/min
Therefore,
Decreasing snowball volume at a rate of 20.11 cm3/min
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the wall thickness of 21 randomly selected glass 2-liter bottles was measured by a quality-control engineer. the wall thickness of those glass 2-liter bottles follows a normally distribution with unknown variance. the sample mean and the sample standard deviation of those 21 selected bottales was found to 4.15 millimeters and 0.09 millimeter, respectively. which of the following is the correct 90% two-sided confidence interval for the mean wall thickness?
The 90 % Prediction interval on the wall thickness of next bottle tested is (4.41, 4.99).
What is meant by Prediction Interval?A prediction interval is a form of confidence interval (CI) used with regression analysis predictions; it is a range of values that forecasts the value of a new observation based on your existing model.
Confidence intervals and predictions are frequently used interchangeably. They are not exactly the same thing, though.
A confidence interval is a set of values connected to a population parameter. the population's mean, as an illustration.
Where you anticipate an upcoming number to fall is called a prediction interval.
The Interval Uncertainties
It doesn't imply that you can forecast with confidence where a single number will fall, just like with most things in statistics.
Confidence intervals are usually accompanied with a confidence level, which represents the amount of uncertainty.
How to solve?
X=4.7
s=0.7
n=25
The tabulated value of t at 24 degree of freedom is 2.06
t24=2.064
The 90 % Prediction interval on the wall thickness of next bottle tested is given by:
=(4.7±t24×0.7√25)
=(4.7−2.064×0.75,4.7+2.064×0.75)
=(4.7−0.28896,4.7+0.28896)
=(4.41,4.99)
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Question 3(Multiple Choice Worth 2 points)
(Theoretical Probability MC)
The probability P(DD) of the letters D and D is 4/9
How to determine the probability?The letters of the alphabets used to generate the word ADD are given as
Sample space (letters) = {A, D, D}
It is assumed that when a card (i.e. letter) is selected, the card is returned to the set
This means that the selection is with replacement
These letters mean that
P(Letter D) = Count of letter D/Number of letters
So, we have the following representation
P(Letter D) = 2/3
Now, the sample space is
Sample space (letters) = {A, D, D}
These letters mean that
P(Letter D2) = 2/3
So, we have the probability equation
P(DD) = P(D) * P(D2)
This gives
P(DD) = 2/3 * 2/3
Evaluate
P(DD) = 4/9
So, the probability is 4/9
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Morgan is making accsessories for the soccer team. she uses 574.35 inches of fabric on headbands for 32 players and 3 coaches. she also uses 276.16 of fabric on wristbands for just the players. how much fabric was used on a headband and wristband for each player?
Answer:
Step-by-step explanation:
574.35/35=16.41
276.16/32=8.63
16.41 + 8.63 = 25.04
a ferris wheel is 16 meters in diameter and makes one revolution every 7 minutes. for how many minutes of any revolution will your seat be above 12 meters?
After 1.67 minutes, the Ferris wheel will be higher than 12 meters.
Given,
The Ferris wheel has a 16-meter diameter.
The circumference of a circle with a diameter of 16 meters, which is calculated as follows, is the distance travelled by the Ferris wheel in one rotation; 16π meter
The Ferris wheel makes one revolution in 7 minutes, hence the following is true:
16π meter = 7 minutes
1 meter = (7/16π) minutes
12 meters = (7 ×12)/16π minutes
12 meters = 1.67 minutes
Therefore,
The Ferris wheel will be above 12 meters after 1.67 minutes.
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pls help im really slow and dont know how to do this
Answer:
2 1/6 more cups
Step-by-step explanation:
Answer: 2 1/6
Step-by-step explanation:
2 1/6
what is the equation of a line Parallel to -3x + 2y = 6
and through the point (4, -4)?
Dolores is making a music video using a drone. She sets the drone on a
platform 1 meter above the ground. Then she uses the controls to make it
rise at a constant rate. The drone reaches a height of 16 meters in 5 seconds.
What is the equation for the drone's height, y, as a function of time, x?
Jm
Answer: y=3x-1
Step-by-step explanation:
1st subtract 1 from 16 so 15 then do 15/5 to get 3 seconds
N is an integer with -5 < 2n <6
write down all the values of n?
The value of n should be greater than -5/2 and less than 3. So the value of n under the interval (-5/2, 3).
In the given question, n is an integer with -5<2n<6.
We have to write the value of integer.
As we know;
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. A common way to represent the set of integers in mathematical terms is z with bold.
To find the value of integer n we firstly divide the whole inequality by 2.
The given inequality is -5<2n<6.
Divide by 2, we get
-5/2<n<3
Now we can say that the value of n should be greater than -5/2 and less than 3. So the value of n under the interval (-5/2, 3).
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11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession. what is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball? a) 0.2333 b) 0.5376 c) 0.5600 d) 0.2567 e) 0.3033 f) none of the above.
The probability for the given condition is, 0.56.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given:
11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession.
We have to find the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball.
P(white ball) = 14 / (11 + 14) = 14 / 25
P(2nd ball is white) = P(first ball is white)*P(2nd ball is white) + P(first ball is black)*P(2nd ball is white)
= (14 / 25) * (13 / 24) + (11 / 25) * (14 / 24)
=0.56
Hence, the probability for the given condition is, 0.56.
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A spherical snowball is melting. Find the approximate change in volume if the radius decreases from 7 cm to 6.8 cm. .. If the radius decreases from 7 cm to 6.8 cm, the change in volume will be 119.6654 cm3. (Round to the nearest tenth as needed.)
A spherical snowball is melting and its radius decreases from 7 cm to 6.8 cm. Its approximate change in volume is 123.2 cm³.
The approximated value can be obtained using derivative approach.
The volume of the sphere is given by:
V = 4/3 πr³
dV/dr = 4 . πr²
Suppose the change of the radius is Δr, using the above derivative, the change of volume can be approximated as:
ΔV = 4 . πr² Δr
Parameters given:
r = 7 cm
Δr = 7 - 6.8 = 0.2 cm
Hence,
ΔV = 4 . π7² (0.2)
ΔV = 4 . π7² (0.2)
ΔV = 123.2 cm³
Therefore, the approximate change in volume is 123.2 cm³
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In a hypothesis test for population proportion, you calculated the p-value is 0. 01 for the test statistic, which is a correct statement of the p-value?.
For the correct statement of the p-value, we would reject the null hypothesis.
There are two main methods for interpreting the statistical significance of a hypothesis test;
1) compare the p-value to the level of significance or
2) compare test statistics to a critical value.
Either method is acceptable, and is chosen by the researcher based upon which one is most typical in their field of research.
Under a hypothesis test we reject the null hypothesis if our p-value is less than the level of significance (p<α), and fail to reject the null hypothesis otherwise. Under the question, we are given a level of significance of 0.05 and a p-value of 0.01, where
p = 0.01 <α = 0.05
hence we would reject the null hypothesis. Thus the statement is TRUE.
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-2(12-2(-4))exponent2
Answer:
6400
Step-by-step explanation:
-2(12-2(-4))^2
Simplify:
-2(10(-4))^2
-2(-40))^2
80^2
6400
xyz dV where T is the solid tetrahedron with vertices (0,0,0), (1,0,0), (1,1,0), and (1,0,1)
The volume of the solid tetrahedron is [tex]\frac{1}{144}[/tex] cubic units.
T's base is a triangle in the xy-plane (z= 0), with one edge being the line y=x, z= 0; the front side is a triangle in the vertical plane x= 1; the left side is a triangle in the xz-plane (y= 0); and the top is the plane xyz= 0 (this plane contains the three points (0,0,0), (1,1,0), (1,0,1).
The equation must be ax+by+cz+d=0 and must be satisfied by the three points as well as the edge (x=y, z=0).
T is thus described as 0≤z≤(xy), 0≤y≤x, 0≤x≤1.
for which it is suitable to used V=dzdydx.
[tex]\int\limits\int\ \int\limits{xyz} \, dV=\int\limits^1_0 \int\limits^x_0 \int\limits^{x-y}_0 {xyz} \, dxdydz\\ \\ =\int\limits^1_0 \int\limits^x_0[\frac{1}{2}xyz^2]\limits^{x-y}_0 dydx\\\\=\frac{1}{2}\int\limits^1_0 \int\limits^x_0(x^3y-2x^2y^2+xy^3)dydx\\\\=\frac{1}{2}\int\limits^1_0 [\frac{1}{2}x^3y^2-\frac{2}{3}x^2y^3+\frac{1}{4}xy^4]\limits^x_0dx\\\\=\frac{1}{2}\int\limits^1_0\frac{1}{12}x^5dx\\\\=\frac{1}{2}[\frac{1}{72}x^6]\limits^1_0\\\\=\frac{1}{144}[/tex]
Thus, the volume of the solid tetrahedron is [tex]\frac{1}{144}[/tex] cubic units.
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Help..NEOW PLSSSSSSSSSSSSSSSS
Answer: Yes, they are proportional
Answer:
No.
Step-by-step explanation:
A proportional relationship shows that each time the amount of money would have increased/decreased in the same amount if she had payed it off constantly and it did not therfore your answer is no.
the probability that a new microwave oven is damaged during delivery is 0.10. given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years?
The probability that it stops working in less than 2 years is 0.40.
Given:
the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. the probability that a new microwave oven is damaged during delivery is 0.10.
here
P ( A ∩ B ) = 0.04
P ( A ) = 0.10
we know that,
According to conditional probability:
P ( B / A ) = P ( A ∩ B ) / P ( A )
substitute values
= 0.04 / 0.10
= 004 / 100 / 010/100
= 4 / 100 * 100 / 10
= 4 * 100 / 100 * 10
= 4 * 1 / 10 * 1
= 4 / 10
= 0.40
Therefore the probability that it stops working in less than 2 years is 0.40.
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A die is rolled. Find the probability of the given event. Write your answers as whole numbers or reduced fractions.
(a) The number showing is a 4
P(4) = (b) The number showing is an even number
P(even) =
(c) The number showing is greater than 3
P(greater than 3) =
The probability for given conditions are a) p(4)=0.166, b) p(even)=0.5 and c) p(greater than 3)=0.5
A die is rolled, then the sample space for outcomes is {1,2,3,4,5,6}
Total number of outcomes =6
Probability of showing number 4. number of favourable outcomes is 1 because there is only one 4 in the sample space of outcomes , [tex]P(4)=\frac{number\ of\ favourable\ outcomes}{total\ number\ of\ outcomes}\\\\P(4)=\frac{1}{6}=0.166[/tex]Probability of showing an even number, even numbers in sample space are {2,4,6} number of favourable outcomes =3 [tex]P(even)=\frac{3}{6}=\frac{1}{2}=0.5[/tex]Probability of showing a number greater than 3, numbers greater then three is sample space are {4,5,6} number of favourable outcomes =3 [tex]P(greater\ than\ 3)=\frac{3}{6}=\frac{1}{2}=0.5[/tex]Thus, the probability for given conditions are a)p(4)=0.166, b)p(even)=0.5 and c)p(greater than 3)=0.5
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what is a good half a mile time? today i ran it in 5:43. how can i improve that? i'm a 14 year old girl.
A good half a mile time is totally good, if a half mile is the longest distance you've ever run, try a 3/4 mile run the next time. After a few successful attempts at that distance, increase it to a mile.
In the given question, we have to explain, what is a good half a mile time.
First, some background is required for 5:43 for half a mile. When did you start running? Was that time calculated using a full effort, or was it only the distance covered without walking? Don't worry about if it's good if you're spanking new. Use it as a foundation.
Second, like with most things in life, practise makes perfect, and running performance is no exception. If a half mile is the longest distance you've ever run, try a 3/4 mile run the next time. After a few successful attempts at that distance, increase it to a mile. The goal is to gradually push your boundaries until you consistently cross that threshold and then push your limits even farther.
Your body will be encouraged to adapt to the challenge, grow to it, and become prepared for when the challenge gets harder.
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Use the commutative law of addition to match the original expression on the left with its rewritten expression on the right.
35+82
9-6=15
7-3
15-9=6
27+13=40
3-7
13+27= 40
27+ 40 = 13
82 +35
cannot be rewritten
The commutative law of addition makes the expressions as,
35 + 82 → 82 + 35
7 + (-3) → (-3) + 7
15 - 9 = 6 → -9 + 15 = 6
27 + 13 = 40 → 13 + 27 = 40
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The commutative law of addition states that,
a + b = b + a
Now,
Using the commutative law we get,
35 + 82 = 82 + 35
7 - 3:
7 + (-3) = (-3) + 7
15 - 9 = 6
15 + (-9) = 6
(-9) + 15 = 6
-9 + 15 = 6
27 + 13 = 40
13 + 27 = 40
Thus,
The commutative law of addition makes the expressions as,
35 + 82 → 82 + 35
7 + (-3) → (-3) + 7
15 - 9 = 6 → -9 + 15 = 6
27 + 13 = 40 → 13 + 27 = 40
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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. if the airline sells 155 tickets for a flight that has only 150 seats, what is the probability that a seat will be available for every pe?
The probability that a seat will be available for every person holding a reservation and planning to fly is 0.8980.
What is probability?
Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
Given:
The probability that a person who makes reservations on a certain flight and does not show up for the flight is p=0.05.
The probability that a person who makes reservations on a certain flight and does show up for the flight is 1-p=1-0.05=0.95.
The airlines sell 160 tickets for a flight with only 155 seats.
Let X be a random variable that denotes the number of persons who show up for the flight and it follows a binomial distribution with parameters n = 160 and p = 0.95.
Hence, X~ Binom (n = 160, p = 0.95).
Here,
np=160×0.95=152>5
n(1-p)=160×0.05 = 8.1>5
Hence, both np and n(1-p) are greater than 5, the binomial distribution can be approximated to normal distribution.
The probability that a seat will be available for every person holding a reservation and planning to fly is calculated as follows:
P(X ≤ 155) = (P < 155 + 0.5)
[tex]=P(x < 155.5)\\\\=P(\frac{X-np}{\sqrt{np(1-p)}} < \frac{155.5 - (160 \times 0.95}{\sqrt{160\times 0.95 \times 0.05}})\\\\=P(Z < \frac{155.5-152}{2.7568})\\\\=P(Z < 1.27)\\\\=0.8980[/tex]
Hence the probability that a seat will be available for every person holding a reservation and planning to fly is 0.8980.
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A disk D, a hemisphere H, and a portion P of a paraboloid are shown. Suppose F is a vector field on R3 whose components have continuous partial derivatives. Explain why this statement is true: curl F. ds = -|| = / curt 1 SS curl F. ds = curl F. ds D H P 4 4 4 P H D 2 x2
Yes, this statement is true. Because flux integral of curl vector does not depend on surface, it depends only on the boundary of the surfaces. Till we are integrating in the same boundary limits.
Given:
The image displays a paraboloid's part P, its hemisphere H, and its disk D. Assume F is a vector field on R3 with continuous partial derivatives in each of its components.
we are asked why the statement is true = ?
Yes, this claim is accurate. Because the flux integral of the curl vector is surface-independent, it only depends on the boundaries of the surfaces. till our integration is within the same boundary limitations.
Hence above given expression will hold true.
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if the populations are normally distributed but the population variances are unknown the z-statistic can be used as the basis for statistical inferences about the difference in two population means using two independent random samples. true false
The given statement is false.
Given that,
The z-statistic can be used as the foundation for statistical inferences about the difference in two population means using two independent random samples if the populations are normally distributed but the population variances are unknown.
If the sample sizes are small, the populations are normally distributed, and the population variances are known, the z statistic can be used as the foundation for statistical inferences about the difference between two population means using two independent random samples.
Therefore, the above given statement can be concluded as false.
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What is the length of the midsegment AB? Type only the numerical answer.
Answer:
A is (3,4) B. is 18,4
Step-by-step explanation:
Check the picture below.
calculate a 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies. let dramas be population 1 and comedies be population 2. write your answer using interval notation and round the interval endpoints to two decimal places.
A 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies is (7.44, 72.56).
We have given that,
Sample mean of peoples who like drama , x₁-bar = 190
Sample mean of peoples who like comedy,x₂-bar = 150
Sample size for darama sample, n₁ = 17
Sample size for comedy sample, n₂ = 14
Standard deviations, s₁ = 60
Standard deviations, s₂ = 30
Confidence level = 0.95 or 95%
Using Z-table , Z-score for 95% confidence level is 1.96..
We have to calculate a 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies.
It is given by following Confidence interval formula,
x₁-bar - x₂-bar ± Z ( √(s₁²/n₁ + s₂²/n₂))
= 190 - 150 ± 1.96(√(60²/17 + 30²/14))
= 40 ± 1.96(√3600/17 + 900/14))
= 40 ± 32.56
= (7.44, 72.56)
Hence, the required 95% confidence interval is
(7.44, 72.56) .
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Complete question:
A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory. the studio randomy selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for. each movie. The results of the survey are as follows. Assurne that the population variances are approximately equal, Calculate a
95%
confidence interval for the difference in mean revenue at the box office for drama and comedy movies: Let dramas be Population-1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places
Jack bought 3 pencils and 4 notebooks and paid a total of $10.93. Sara bought 5 pencils and *
2 notebooks and paid a total of $7.53. What is the cost of a notebook?
$2.19
$2.24
$2.29
$2.35
Answer:
the correct answer is B
Step-by-step explanation:
$2.29 is the cost of a notebook.
Here, we have,
given that,
Jack bought 3 pencils and 4 notebooks and paid a total of $10.93. Sara bought 5 pencils and 2 notebooks and paid a total of $7.53.
let, the cost of a notebook = n
the cost of a pencil = p
we would solve this with simultaneous equations,
so if we write it as:
4n + 3p = 10.93
2n + 5p = 7.53
=> we get,
multiplying the equations by 5 and 3, we get,
20n + 15p = 54.65
6n + 15p = 22.59
(subtract)
14n = 32.06
divide both sides by 14,
14n ÷ 14 = 32.06÷ 14
n = 2.29
notebooks = 2.29
So the final answer is notebooks are $2.29.
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help pls by pst sunday december 4, 2022 12:00 images below