A grab bag contains 2 football cards and 8 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. Determine whether the events are independent. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.

Answer:

1:3

1 to 3

Step-by-step explanation:

The other notations a ratio [tex]\frac{a}{b}[/tex] can be written in are a:b and a to b.

From what we are given, a = 1 and b = 3, so in the form a:b, the ration would be 1:3 and in the form a to b it would be 1 to 3.

Answer:

8 + 4i

Step-by-step explanation:

according to the bi form, the solution to the expression √4+ √−4+√36 + √−4 would be 8 + 4i

Answer:

[tex]4x^3+7x^2+5x+2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=4x^2+5x-3[/tex]

[tex]g(x)=4x^3+3x^2+5[/tex]

[tex]\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}[/tex]

Answer:

257/16

Step-by-step explanation:

Given :

Then :

===========================================================

Explanation:

Let x = length of side BC

This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD

If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly [tex]\sqrt{12-x}[/tex]

This is the radius of the cylinder

The volume of a cylinder is [tex]V = \pi*r^2*h[/tex]

Plug in the radius and height mentioned to get this function in terms of x

[tex]V = \pi*\left(\sqrt{12-x} \ \right)^2*x[/tex]

That simplifies to

[tex]V = \pi(12-x)x[/tex]

or

[tex]V = \pi(12x-x^2)[/tex]

Ignore the pi portion for now.

We wish to maximize the function f(x) = 12x-x^2

Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)

This means x = 6 leads to the largest f(x) value being 36.

Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.

Answer:

[tex]f(x) = {x}^{2} + 4x[/tex]

Step-by-step explanation:

The graph is concave up, this means that the leading term x^2 is positive.

[tex]f(x) = {x}^{2} + 4x[/tex]

[tex]y = {x}^{2} + 4x[/tex]

[tex] {x}^{2} + 4x = 0[/tex]

[tex]x(x + 4) = 0[/tex]

[tex]x = 0 \: \: \: or \: \: \: \: x = - 4[/tex]

(0 , 0) and (-4 , 0)

For the y intercept, let x = 0

[tex]y = {0}^{2} + 4(0) = 0[/tex]

(0, 0)

[tex]t.p = \frac{x1 + x2}{2} [/tex]

[tex]t.p = \frac{0 + ( - 4)}{2} = - 2[/tex]

[tex]f( - 2) = {( - 2)}^{2} + 4( - 2) = - 4[/tex]

(-2 , -4)

If you connect all these coordinates you will get the parabola shown in the picture.

Comparing the two data sets shown below

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

Both the mean and the median can be used to describe where the “center” of a dataset is located.

So, the mean of data in 2022 is more than mean of data in 2018.

It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.

As the variance of 2022 more than in variance in 2018.

A high variance indicates that the data points are very spread out from the mean, and from one another.

As the standard deviation of 2022 more than in standard deviation in 2018.

The high standard deviation indicates data are more spread out.

The bigger the range, the more spread out the data.

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Answer:

[tex]\mathsf{y-8=\cfrac{3}{4}(x-4)}[/tex]

Step-by-step explanation:

Hi student, let me help you out!

.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ... ... ..... ........   ......  ... ......... .... ....

First, let's recall the point-slope form equation: ↪ [tex]\mathrm{y-y_1=m(x-x_1)}[/tex].

where: y₁ = y-coordinate of the point (the second coordinate), m=slope, x₁=x-coordinate (the first coordinate).

Let's stick in the values accordingly. We obtain the following: [tex]\mathrm{y-8=\cfrac{3}{4}(x-4)}[/tex], which is our point-slope form equation.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

[tex]\star\bigstar\overline{\overline{\underline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

[tex]\underline{\rule{300}{4}}[/tex]

The value of cos 45 in a right angle triangle is 1/√2.

The trigonometry ratios are ratios that can be used to determine the side and angles of a triangle depending on the known parameter. The basic trigonometry ratios are denoted by the acronym: SOH CAH TOA

i.e.

From the given diagram, we are to find the Cos 45°

i.e.

θ = 45°

Let's recall the angle 45 45 90 theorem that states that right angles have the following values for the sides:

Since

Cos θ = adj/hyp

Cos 45 = 1/√2

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Answer:

x³ - x² + 4x - 7

Step-by-step explanation:

(x³ + 2x - 3) - (x² - 2x + 4)

remove first parenthesis and distribute second parenthesis by - 1

= x³ + 2x - 3 - x² + 2x - 4 ← collect like terms

= x³ - x² + 4x - 7 ← in standard form

Answer:

y=1/2x+5/2

Step-by-step explanation:

The slope will not change if the line is parallel.

So start with 1/2x and plug in 1.

You will get 1/2 and you need to get a total of 6/2 to get a y of 3.

since you already have 1/2 the remanding value needed is 5/2 and once you add the two you will get 6/2 which equals a y of 3.

By evaluating the piecewise function, we get:

g(-2) = 0.

g(4) = 4.

A piecewise function is a function that behaves differently in different parts of its domain.

Here, we first want to get g(-2). x = -2 belongs to the second domain, then we use that part:

g(-2) = 0.

For x = 4, it belongs to the third domain, then we have:

g(4) = 4.

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[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}[/tex]

Let us take the width of the paper as base, the cut she made be hypotenuse and the paper's length be perpendicular.

Here,

Hypotenuse (H) = 87 inch

Base (B) = 60 inch

Perpendicular (P) = [To be calculated]

As, we can use Pythagoras theorem to find. So by using Pythagoras theorem :

H² = P² + B²

[tex] {87}^{2} = {P}^{2} + {60}^{2} \\ \\ \implies \: 7569 = {P}^{2} + 3600 \\ \\ \implies \: 7569 - 3600 = {P}^{2} \\ \\ \implies3969 = {P}^{2} \\ \\ \implies \: P = \sqrt{3969} \\ \\ \implies \: P = 63[/tex]

The length of the paper is 63 inches.

[tex] \boxed{ \frak \pink{BrainlyDamurai}}[/tex]

Answer:

1) C. x-1 tells us that it has decreased by a value

2) original number of apples

3) 4(x-1)=28. Divide by 4, then take the 1 over

Answer:

6x+2y=52

Step-by-step explanation:

If you just drop down the answers, like for the first set x+5x=6x, so thats the first term and so on.

Answer:

i don't understand your question

Step-by-step explanation:

Answer:

0.6= 6/10

[tex]0.6 = 6 \div 10[/tex]

Step-by-step explanation:

To convert a decimal to a fraction

 place the decimal number over its place value

For example

in 0.8 the 8is in the tenths place,

so we place 6 over 10 to create the equivalent fraction, 8/10.

example 2

=6.25

625/100

25/4

The probability that she got exactly 3 questions correct is 0.208 , Option B is the correct answer.

Probability can be defined as the likeliness of

If you use the formula P(r)=[tex]^nC_r P^rq^{n-r}[/tex]

P is the probability of success =  3/4 = .25

the total number of questions is n = 8

the total number of questions that Johnni got correct is r  = 3

the probability of getting an answer wrong is q = 1-0.25 = 0.75

Substituting all of these values

[tex]^8C_3 P^3 (0.75)^{8-3}[/tex]

=  .208.

The probability that she got exactly 3 questions correct is 0.208 , Option B is the correct answer.

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Answer:

B. 0.208

Step-by-step explanation:

edge 2023

Answer:

The one you chose is correct.

Step-by-step explanation:

The scale factor is 1.5. We know QP is 5. QP is the corresponding side to KJ. So, we multiply 5 with 1.5 and get 7.5 which is equal to 15/2

I found the scale factor by dividing LK which was 9 and QR which was 6.

9/6=1.5.

Hope this helps

Answer: the maximum of three

Step-by-step explanation: each number has  2 significant figures. so 10.85 has four significant figures and must be rounded to 11 so it can have a maximum of three

15.23*3.6=54.83

The effect of this circled point is that: A. it will increase the value of the standard deviation of the residuals because it has a large positive residual.

The standard deviation of residuals is also referred to as root mean square deviation and they are typically used in statistics to calculate the rate at which data points spread around a given regression line.

By critically observing the scatter plot shown in the image attached below, we can infer and logically deduce that the circled point will increase the value of the standard deviation of the residuals because it has a large positive residual.

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Complete Question:

A guidance counselor wants to determine if there is a relationship between a student's number of absences, x, and their grade point average (GPA), y. The data that were collected are displayed in the scatterplot and the least-squares regression line was calculated. One student with 2 absences has a GPA of 1.8. This point is circled on the graph. What effect does the circled point have on the standard deviation of the residuals?

The town manager's sample is not representative of population as he only picked females.

It should be noted that a sample representative simply means a subset of a population which seeks to reflect the characteristics of the larger group.

In this case, the town manager's sample is not representative of populationas he only picked females. The males too ought to be given an equal chance.

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Answer:

-11/4

Step-by-step explanation:

slope = [tex]\frac{-3-8}{9-5} =\frac{-11}{4}[/tex]

Hope this helps

Answer:

-11/4

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (-3 - 8)/(9 - 5) = -11/4

An equation is formed of two equal expressions. The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is,

4ˣ=(1/8)ˣ⁺⁵

(2²)ˣ = (2⁻³)ˣ⁺⁵

2²ˣ = 2⁽⁻³ˣ⁺¹⁵⁾

2x = -3x + 15

5x = 15

x = 3

Hence, the value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.

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Exact form is x = 86/11

Mixed number form is x = 7 whole number 9/11

To solve this problem, let's simply find the difference in the distance between the two locations.

To express this integer, we need to define the locations with variables and then calculate the difference.

The difference between the two location can be written as

[tex]Pilot - Nashville = B - A = 39000 - 595 = 38405ft[/tex]

The two integers that represent this scenario are 595 and 39000 respectively.

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Answer:

total fruits and dips=4+2=6

P(select banana&peanut butter)=banana+peanut /total fruits and d

Step-by-step explanation:

total fruits and dips=4+2=6

P(select banana&peanut)=banana+peanut/total fruits and dips

P(select banana&peanut)=1+1=2/6

=1/3