Cora is playing a game that involves flipping three coins at once let the random variable H be the number of coins that land showing heads. Here is the probability distribution for H.

Answer:

theta is 78 degrees, alpha is 85 degrees

Step-by-step explanation:

use the parallel lines

alternate interior angles means that theta + 112 = 180

and since the alternate interior of the 85 degree angle is a vrtical angle of alpha, they are equal

Answer:

The number of parents who volunteered to bring refreshments is 16.

Step-by-step explanation:

The information provided is:

N = 84

n (S) = 35

n (S ∩ R) = 11

n (R) = 1.5 × n (S' ∪ R')

Compute the value of n (S ∪ R) as follows:

\(n(S\cup R)=n(S)+n(R)-n (S\cap R)\\\\n(S\cup R)=n(S)+[1.5(N-n(S\cup R)]-n (S\cap R)\\\\n(S\cup R)=n(S)+1.5N-1.5n(S\cup R)-n (S\cap R)\\\\2.5n(S\cup R)=n(S)+1.5N-n (S\cap R)\\\\2.5n(S\cup R)=35+(1.5\times84)-11\\\\2.5n(S\cup R)=150\\\\n(S\cup R)=\frac{150}{2.5}\\\\n(S\cup R)=60\)

Now compute the value of n (R) as follows:

\(n (R) = 1.5 \times n (S' \cup R') \\\\n (R) = 1.5 \times [N-n (S \cup R)]\\\\n (R) = 1.5 \times [84-60]\\\\n(R)=16\)

Thus, the number of parents who volunteered to bring refreshments is 16.

Answer:

In context of the problem, -40 means that 40 was the difference between the actual data, and the estimated data.

Step-by-step explanation:

Here -40 represent the difference between the actual data and the estimated data.

Given that,

Based on the above information we can say that the -40 shows the difference of data.

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The integrand of the given definite integral is (3x^2 + 2x + 1), the limits of integration are 0 to 4, and the variable of integration is dx.

In the given definite integral ∫[0 to 4] (3x^2 + 2x + 1) dx, the integrand is the expression (3x^2 + 2x + 1), which represents the function being integrated with respect to the variable x. The limits of integration are specified as 0 to 4, indicating that the integration is performed over the interval from x = 0 to x = 4. This means that the function is evaluated and integrated within this interval. Finally, the variable of integration is denoted by dx, representing the infinitesimal change in the variable x as it is integrated. By identifying these components, we can clearly understand the integrand, the limits of integration, and the variable of integration in the given definite integral.

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For the definite integral given below, identify the integrand, the limits of integration, and the variable of integration.

To provide a specific example, let's consider the definite integral:

∫[0 to 4] (3x^2 + 2x + 1) dx

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

x−41611y−3−2−10

=x+−41611y+−3+−2+−10

Combine Like Terms:

=x+−41611y+−3+−2+−10

=(x)+(−41611y)+(−3+−2+−10)

=x+−41611y+−15

Answer:

=x−41611y−15

Answer:

4.8÷40=4.8÷4÷10

           =0.12

0.12=12/100

      =3/25

Step-by-step explanation:

Part 1.

Our equation is \(4.8\)÷\(40=0.12\)

Part 2.

\(^{12}/_{100\) = \(^{3}/_{25\) as simplest form

Answer:

1/4

Step-by-step explanation:

total if 200 cubes. your chance is 50/200 simplify it down

Answer: 2 is -1.25

Step-by-step explanation:

The two column proof showing that ΔFHK ~ ΔGHJ is as detailed below.

A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.

Statement 1: FG/FH = KJ/KH

Reason 1: Ratio of similar sides of a triangle

Statement 2: ∠H ≅ ∠H

Reason 2: Reflexive Property of Congruence

Statement 3: ΔFHK ~ ΔGHJ

Reason 3: SAS Similarity Theorem

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By the end of the 24th day of autumn, there is exactly 1,594,323 number leaf total on the ground.

So, let uscalculate the total number of leaves as follows:

A number of leaves on day 1.

A number of leaves on day 2.

A number of leaves of day 3.

A number of leaves on day 4.

A number of leaves on day 5.

A number of leaves on day 6.

A number of leaves of day 7.

A number of leaves on day 8.

A number of leaves on day 9.

A number of leaves on day 10.

A number of leaves on day 11.

A number of leaves on day 12.

A number of leaves on day 13.

Therefore, by the end of the 24th day of autumn, there is exactly 1,594,323 number leaf total on the ground.

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The Solution:

Given the initial values as below:

The average speed was increased by 18m/h and a return time of 8 hours only.

Equating both eqn(1) and eqn(2), we get

The distance is

Thus, the average speed on his return drive is:

Therefore, the correct answer is 66 m/h

Original values:

x=48m/h

t=11 hrs

d=528m

Return Drive:

x=66m/h

t=8 hrs

d=528m

PCA (Principal Component Analysis) and Factor Analysis are both statistical techniques used to reduce the dimensionality of large datasets. However, they have different goals and methods.

PCA is an unsupervised technique used to identify the most important variables in a dataset by transforming the original variables into a new set of uncorrelated variables called principal components. These components are linear combinations of the original variables and are ranked in order of the variance they explain. The primary goal of PCA is to simplify the dataset by reducing its dimensionality while preserving the maximum amount of variance.

Factor Analysis, on the other hand, is a technique that aims to identify underlying factors or latent variables that explain the correlations among the observed variables. It is often used in social sciences and psychology to identify constructs or concepts that cannot be directly measured. Factor Analysis helps in understanding the structure of the data and the relationships between the observed variables.

In summary, PCA focuses on explaining the maximum amount of variance in the dataset by creating a new set of uncorrelated variables, whereas Factor Analysis seeks to identify latent factors underlying the correlations among the observed variables. Both techniques can be useful in simplifying large datasets, but their goals and methods differ, which leads to distinct solutions depending on the specific objectives of the analysis.

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The number of phones sold is 15 and the number of accessories sold is 24, and the graph is attached below.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

Samir earns an $8 commission for every phone he sells and a $4 commission for every accessory he sells,

Total money earned = $216,

Total number of phones  and accessories sold = 39

Write the equation of the above statement as shown below,

8x + 4y = 216,

x + y = 39

Assume the number of phones sold is x and the number of accessories sold is y,

Solve the equation by elimination as shown below

x = 15,

y = 39 - 15 = 24

The graph is also attached below,

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Forty percent of the students surveyed take the bus to school, as indicated by the circle graph.

To calculate the percent of students who take the bus to school, we can use the information provided in the circle graph. There are a total of 50 students surveyed, and the graph indicates that 20 of them take the bus. To find the percent, we can first divide the number who take the bus (20) by the total number surveyed (50). This gives us 0.4, which, when multiplied by 100, is 40%. Therefore, 40% of the students surveyed take the bus to school. Hence, Forty percent of the students surveyed take the bus to school, as indicated by the circle graph.

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Answer:

ok but helppp meeeee nothinggggg

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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Answer:‘12.92

Step-by-step explanation:

Answer:

Step-by-step explanation:

$12.99

applying coupon

\(12.99(1-12\%) = 12.99*88\% = 11.4312\\11.4312 * (1+13\%) = 12.917=12.92\)

Answer:

A

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 and crosses the y- axis at (0, - 7 ) ⇒ c = - 7

that is the y- intercept c = - 7

Answer:

3

Step-by-step explanation:

if you draw a line y=2 will touch the graph in 3 points

Answer:

169

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-3 -1 / 7-5 = -4/2 = -2

4 is 7/10

hope this helps

Answer:

10

Step-by-step explanation:

I asked siri

Answer:

11.176 meters/second

Step-by-step explanation:

1 mile = 1609.34 meters

25 miles = 40233.6 meters

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 3600 seconds

40233.6 / 3600,

11.176 meters/second

Since the object is in free fall the acceleration of the object is approximately

Answer:

Step-by-step explanation:

f(x)=-1/4x-2

Answer:

Below

Step-by-step explanation:

Rate X Time = Distance     <======equation you have to learn/remember

30 km / hr  * 3 hr   = 30 * 3 = 90 km

Answer:

you just addd them so its 27 spaces in the parkng lot :)

Step-by-step explanation:

The conditional probability that a Philadelphian who got the flu got a flu shot is of:

0.4375 = 43.75%.

Conditional probability is the probability of one event happening, considering the outcome of a previous event.

The formula is presented as follows:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which each probability in the formula is described as follows:

In the context of this problem, the events are described as follows:

The probability of people who got the flu is obtained as follows:

Hence:

P(A) = 0.02 x 0.7 + 0.06 x 0.3 = 0.032.

The probability of both getting the flu and the shot is:

P(A and B) = 0.02 x 0.7 = 0.014.

Hence the conditional probability that a Philadelphian who got the flu got a flu shot is calculated applying the conditional probability formula as follows:

P(B|A) = P(A and B)/P(A) = 0.014/0.032 = 0.4375 = 43.75%.

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