3. You have $2.75. You want to buy trading cards that cost $0.25 each.
How many can you buy?

Answer:

Step-by-step explanation:

Given

As per segment addition postulate

Substituting values

a.) The probability that the girls play at least 3 games is 0.36.

b.) The probability that the girls play 5 games is 0.1024.

c.) On the second day the girls are expected to play more games of Monopoly.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

We know that,    P ( E )   +   P ( \(E^{'}\) )    =   1

         where,     P ( E )  =   Probability of possible outcomes

                           P ( \(E^{'}\) ) =  Probability of impossible outcomes

                   ⇒    P ( E )   =   1   -   P ( \(E^{'}\) )        →  1

a.) Probability that the girls play at least 3 games

                          P ( E )   =   1   -   P ( \(E^{'}\) )  

                                       =   1   -   ( 2/5 + 3/5 × 2/5 )

                                       =   1   -   ( 0.4 + 0.6 × 0.4 )

                                       =   1   -   ( 0.64 )

                          P ( E )   =  0.36    

b.) Probability that the girls play 5 games

                           P ( E )   =    ( 5 1 )  ×  0.2  ×  \((0.8)^{3}\)  ×  0.2

                                        =    ( 5 1 )  ×  0.2  ×  0.512  ×  0.2

                                        =    ( 5 1 )  ×  0.02048

                           P ( E )    =    0.1024

c.) The day on which girls played more games of monopoly

⇒ Number of games to be played on the first day   =   1 / 0.4

                                                                                     =   2.5

⇒ Number of games to be played on the second day   =   2 / 0.2

                                                                                            =   10

Therefore, 0.36 is the probability that the girls play at least 3 games, 0.1024 is the probability that the girls play 5 games and the girls are expected to play more games of Monopoly on the second day.

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Since he walks 96 meters per minute Frank will take 2400/96=25 minutes to complete the walk, then he will end by 7:10 a.m

Answer: 25 weeks

Step-by-step explanation:

Let W represent the number of weeks

Judy equation is

12W + 300

Cassie equation is

20W + 100

Now let's solve it! Our system of equation is

12W + 300 = 20W + 100

Subtract 300 from both sides

12W = 20W -200

Subtract 20W from both sides

-8W = -200

W = 25 weeks

So, it takes 25 weeks for Judy and Cassie to have the same amount saved.

Answer:

let judy = 300 + 12W

cassie = 100 + 20W

300 + 12W =  100 + 20W

300 - 100 = 20W - 12W

200 = 8W

W = 25

300 +  12(25) = 100 + 20(25)

300 + 300 = 100 + 500

600 = 600

Therefore, it will take 25 days for Judy and Cassie so that they have the same amount saved.

THE GRAPH IS IN THE PICTURE,line graph

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

12÷4=3

Have a good day:)

(a) The general equation of a straight line is y = mx + c, where m is the slope and c is the y-intercept of the line. The given question can be represented in terms of straight line as  y = -2x + 7000.

(b) The slope of the line is -2 and it represents the rate of decrease of hi-res pictures with respect to low-res pictures.

The equation of a Straight Line between points (x₁,y₁) and (x₂,y₂) can be given as y = (x-x₁)(y₂-y₁)/(x₂-x₁)+y₁ where (y₂-y₁)/(x₂-x₁) is the slope of the line.

In the given question, Suppose number of hi-res pictures be x.

And, number of low-res pictures be y.

Then, value of x at y = 0 is 3500 and value of y at x = 0 is 7000.

There are two points (3500,0) and (0,7000).

Slope of the line is given as (7000-0)/(0-3500) = -2.

The y-intercept is 7000.

Therefore, the equation of line is given by y = -2x + 7000 and the slope of this line represents the rate of decrease of hi-res pictures with respect to low-res pictures.

Hence, the equation of line is given by y = -2x + 7000 and its slope = -2 represents rate of decrease of hi-res pictures with respect to low-res pictures.

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The area of the original garden is 7200 square feet.

Given,

a rectangular garden has a length that is twice its width. the dimensions are increased so that the perimeter is doubled and the new shape is a square with an area of 3600 square feet.

we are asked to determine the area of the original garden = ?

let the width be x

and the length be 2x

area of the square = 3600 sq feet

Perimeter of the rectangle = 2(l+b)

⇒ 2(2x+x)

⇒ 2(3x)=6x

area of square = a²

a² = 3600

a = √3600

a = 60

now we get the width = 60

length = 2(60)

= 120

Now calculate the area of the rectangle:

= l×b

= 60 × 120

= 7200

hence we get the area as 7200 square feet.

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Answer:

Total material needed = 9.5 square feet

Step-by-step explanation:

Dimensions  of I = 2. 5feet x 1 feet

    Area = 2.5 square feet

Dimensions of S :

                      Top part = 1 feet x 1 feet

                         Area of top part = 1 square feet

                      Bottom part = 1 feet x 2.5 feet

                          Area of bottom part = 2.5 square feet

  Total Area of S = 2.5 + 1  = 3.5  square feet

Total material needed = Area of I + Area of S + Area of S

                                  = 2.5 + 3.5 + 3.5

                                  = 9.5 square feet.

Answer:

i need help to but i think a

Step-by-step explanation:

mark me plz

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

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This method is effective because it breaks down the percentage into smaller parts that are easier to calculate mentally. By finding 5% and 1% separately and then adding them together, you can quickly find the percentage that you need.To find 7% of $1000, there are various mental math methods that one can use. One of the best methods is to use a combination of the 5% and 1% methods. Here's how to do it:

Step 1: Find 5% of $1000
5% of $1000 is $50

Step 2: Find 1% of $1000
1% of $1000 is $10

Step 3: Add the two values together
$50 + $10 = $60

Step 4: Find 1% of $60
1% of $60 is $0.60

Step 5: Multiply $0.60 by 7 to get the final answer
$0.60 x 7 = $4.20

Therefore, 7% of $1000 is $4.20.

This method is effective because it breaks down the percentage into smaller parts that are easier to calculate mentally. By finding 5% and 1% separately and then adding them together, you can quickly find the percentage that you need.

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After finding the time period of particle, time elapsed between turning points is 1.57 seconds.

A particle is oscillating in one dimension, with a position by x=cos(2t).

The general equation of simple harmonic equation is

x = Acos(ωt)

At t = 0 the particle is at x =1.

On comparing ω = 2

Time period of the particle = 2π/ω

Now putting the value

Time period of the particle = 2π/2

Time period of the particle = π seconds

Thus, the particle takes half the time to get from one extreme to another, which is a turning point.

So, Time elapsed = π/2 seconds

Time elapsed = 3.14/2 seconds

Time elapsed = 1.57 seconds

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The complete question is:

A particle is oscillating in one dimension, with a position given by x=cos(2t). How many seconds elapse between turning points?

Answer:

The value of x is 20.

Step-by-step explanation:

The steps are :

0.75x - 13 = 2

0.75x = 2 + 13

0.75x = 15

x = 15 ÷ 0.75

x = 20

Answer:

20/27

Step-by-step explanation:

Answer:

X +80°+ X + 57°+ X + 71° + 56°= 360°

3X + 264° = 360°

3X = 96°

X = 32°

Answer:

32°.

Step-by-step explanation:

The work is in the photo, I suppose.

Question:

Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.

The digit 4 has a greater value in because its value is as much as its value in

Answer:

The digit 4 has a greater value in because its value is as much as its value in  0.04

Step-by-step explanation:

Given

0.04 and 0.004

Required

Which has a greater value of 4

In 0.04, the value of 4 is hundredths i.e. 0.01

In 0.004, the value of 4 is thousandths i.e. 0.001

By comparison:

\(0.01 > 0.001\)

So, 4 has a greater value in 0.04 than 0.004

Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

Proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.

Given, mean (μ) = 266 days and standard deviation (σ) = 16 days.

Let X be the length of pregnancies, then X follows the normal distribution with mean (μ) = 266 and standard deviation (σ) = 16.

We need to find the probability that a pregnancy lasts fewer than 276 days i.e. P(X < 276).

To find this probability, we standardize the variable X using the standard normal distribution formula:

z = (x - μ) / σ

where z is the standard normal random variable.

Substituting the given values, we get:

z = (276 - 266) / 16 = 0.625

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal random variable being less than 0.625 is approximately 0.7340.

Therefore, the proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.

Explanation: This means that out of 100 pregnancies, around 73 pregnancies will last fewer than 276 days.

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Answer:

y=1 1/2 (fraction)

or

y=1.5 (decimal)

Step-by-step explanation:

We want to get y alone, so we need to get rid of the 1/2 in front of it. To do that we can multiply each side by 2 since 1/2 + 1/2 = 1.

3/4= 1/2y

multiply each side by 2

To multiply 3/4 by 2 you need to multiply the numerators and then multiply the denominators

2•3=6 & 4 • 1 =4

6/4

simplify

y=1 1/2

(If you need it in decimal form it would be y=1.5)

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

I don't know D

Step-by-step explanation:

but why is this in the mathematics section

The expression that gives the product of the polynomials x³ + 2x + 1 and 4x³ + 3 is:

\((x^3 + 2x + 1)(4x^3 + 3) = x^6 + 2x^4 + 7x^3 + 6x + 3\)

We multiply them applying the distributive property, multiplying all the terms and then combining the like terms.

In this problem, the factors are given as follows:

Hence the multiplication will be given by:

\((x^3 + 2x + 1)(4x^3 + 3) = x^6 + 2x^4 + 7x^3 + 6x + 3\)

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Answer: d) $37,500

Step-by-step explanation:

The highest fee for the loan of 1m dollars can be d) 37500 dollars.

A percentage is a value per hundredth. Percentages can also be converted into fractions by dividing it by a hundred and simplifying decimals by dividing the percentage value by a hundred.

We know 1 million dollars is 1,000,000 dollars which is the loan amount and the highest rate of fee is 3.75%.

∴ The highest fee can be 3.75% of 1,000,000 dollars which is,

= (3.75/100)×1,000,000 dollars.

= 0.0375×1000000 dollars.

= 37500 dollars.

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If the engineers are planning a car design in which only 25 of adults fit , then this sitting height is 38.68 inches .

To find the sitting height for the tallest 2% of adults, we first find z-score for upper 2% of standard Normal Distribution ;

we know ; that z = (x - μ)/σ ;

where z is = z core, x is = sitting height , μ is = mean sitting height, and

σ is = standard deviation of sitting heights.

From the normal table : Upper 2% of standard normal distribution have a z-score of approximately 2.05 ;

So , 2.05 = (x - 35.4)/1.6 ;

Multiplying both sides by 1.6, we get ;

⇒ 3.28 = x - 35.4

On adding 35.4 to both sides, we get:

⇒ x = 38.68 ;

Therefore, the sitting height for the tallest 2% of adults is 38.68 inches .

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6.29117647059

This is the answer

Answer: 6.29117647059

Step-by-step explanation:

divide the problem :)

Answer:

I am assuming the 8:15 was a typo and was actually supposed to be a 8:14. Anyways, they are equivalent because they all make 4:7 when simplified.

Step-by-step explanation:

4:7 = itself at this point, as they don't have numbers that can simplify each other on both sides, unless you are looking for a decimal answer.

8:14 = 4:7 <- You can divide the 8 and 14 by two. 8 divided by 2 is four, and 14 divided by 2 is 7.

16:28 = 4:7 <- You can divide the 16 and the 28 by four. 16 divided by 4 is 4, and 28 divided by 4 is 7.

20:35 = 4:7 <- You can divide both sides by 5. 20 divided by 5 is 4, and 35 divided by 5 is 7.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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The dilated figure A'R'S'T' is a larger version of the original figure ARST, with all distances multiplied by a scale factor of 3 and the center of dilation at the origin.

what is triangle?

A triangle is a three-sided polygon, which is a closed two-dimensional figure with straight sides.

Based on the given image, we can follow these steps to dilate the figure ARST by a scale factor of 3 with the center of dilation at the origin:

Plot the coordinates of the original figure ARST: A(2, 2), R(5, 2), S(5, 5), and T(2, 5).

Draw lines from each vertex of the figure to the origin (0, 0).

Measure the distance from the origin to each vertex of the original figure ARST. For example, the distance from the origin to vertex A is:

d(A, 0) = √[(2 - 0)^2 + (2 - 0)^2] = √8

Multiply the distance of each vertex from the origin by the scale factor of 3 to obtain the new distance for the corresponding vertex in the dilated figure. For example, the new distance for vertex A is:

d'(A, 0) = 3 × √8 = 3√8

Draw lines from each vertex of the original figure to the corresponding  

Measure the distance along each line For example, the distance along the line from the origin to the dilated point A' is 3√8.

After following these steps, we obtain the coordinates of the dilated figure A'R'S'T' as follows:

A'(3√8, 3√8)

R'(3√20, 3√8)

S'(3√20, 3√20)

T'(3√8, 3√20)

Therefore, the dilated figure A'R'S'T' is a larger version of the original figure ARST, with all distances multiplied by a scale factor of 3 and the center of dilation at the origin.

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Answer:

The answer is B

Step-by-step explanation:

Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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