Answer:
[tex]\frac{1}{8}[/tex] I think
Step-by-step explanation:
you have a bag witha a total of 16 gummy worms right? 6 out of 16 of them are red, 5 out of 16 are green.
so you pull out a red one and eat it. the probabilty of you doing that is [tex]\frac{6}{16}[/tex] . keep it in mind that you ate a gummy worm.after enjoying that gummy worm you decide to take another one, but this time, it's green. you know you just ate one right, but you did not replace it now did you? what that means is out of the 16 gummies you had, you are now left with 15 (because you ate one).now you are left with 15 gummy worms. you take a green one out of the packet. the probabilty of you doing that is [tex]\frac{5}{15}[/tex].now that you've got your probabilities all sorted, now it's time to use some basic probability principles. if you ever come across a probability question with the word and, you need to know automatically that you are multiplying. if you ever come across the word or, you are adding. it's always gonna be like this.
so when you multiply your two probabilities, you get the answer [tex]\frac{1}{8}[/tex]
whenever you're dealing with probability, make sure you're aware of things that are being taken. check whether they're being replaced or not. the way I attempted at working it out is how the other probability questions involving replacements are solved, no matter what it is.
I really hope you found this helpful (that is if all I said is correct) :)
Given f(X)= x+3/x^2+2x-3 and g(x)=log4X, evaluate (g-f)(2)
Answer:
-1/2 is correct
Step-by-step explanation:
Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]. To evaluate the expression (g - f)(2), you need to first find the values of g(2) and f(2), and then subtract f(2) from g(2).
Given:
[tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \) \\ \( g(x) = \log_4(x) \)[/tex]
Let's start by calculating the values of f(2) and g(2): 1. [tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \)[/tex]
Substitute (x = 2): [tex]\( f(2) = \frac{2 + 3}{2^2 + 2 \cdot 2 - 3} = \frac{5}{7} \)[/tex]
2. [tex]\( g(x) = \log_4(x) \)[/tex] Substitute ( x = 2): [tex]\( g(2) = \log_4(2) \)[/tex]
Now, evaluate the expression [tex]\( (g - f)(2) \):[/tex]
[tex]\( (g - f)(2) = g(2) - f(2) = \log_4(2) - \frac{5}{7} \)[/tex]
To determine which option matches this value, calculate [tex]\( \log_4(2)[/tex]) and subtract [tex]\( \frac{5}{7} \)[/tex] from it.
Approximately,[tex]\( \log_4(2) \)[/tex] is around 0.5.
So, [tex]\( (g - f)(2) \approx 0.5 - \frac{5}{7} \)[/tex]. To compare this result with the options provided, convert the fractions to a common denominator:
[tex]\( \frac{5}{7} = \frac{35}{49} \)[/tex]. So, [tex]\( (g - f)(2) \approx 0.5 - \frac{35}{49} \)[/tex].
Now, simplify the subtraction: [tex]\( 0.5 - \frac{35}{49} = \frac{24}{49} \)[/tex]
Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]
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the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sides
The length of the other two sides is 10 and 35 respectively.
What is a ratio?A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.
From the given information:
The sides of the triangle = 2:7:8The total sides of the triangle = 2+7+8 = 17We are being told that the longest side is the triangle is equal to 40.
i.e.
[tex]\mathbf{\to\dfrac{8}{17}\times x = 40}[/tex]
[tex]\mathbf{x = 40 \div \dfrac{8}{17}}[/tex]
[tex]\mathbf{x = 40 \times \dfrac{17}{8}}[/tex]
x = 85
Now for the other two sides 2 and 7, their length is as follows.
[tex]\mathbf{\dfrac{2}{17}\times 85 = 10}[/tex]
[tex]\mathbf{\dfrac{7}{17}\times 85 = 35}[/tex]
Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.
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PLSSS ANSWER
[tex]\sqrt{28-3(4)}[/tex]
Answer:
[tex]\boxed{\sf{4}}[/tex]Step-by-step explanation:
Use the order of operations to solve this problem.
[tex]\Longrightarrow: \sf{\sqrt{28-3(4)} }[/tex]
Remove parentheses.
→ (4)=4
Rewrite the problem down.
[tex]\Longrightarrow:\sf{\sqrt{28-3*4} }[/tex]
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract→ 28-3*4
Multiply.
→ 3*4=12
→ 28-12
Subtract.
→ 28-12=16
[tex]\Longrightarrow:\sf{\sqrt{16} }[/tex]
[tex]\Longrightarrow\sf{\sqrt{16}=4^2 }[/tex]
Use the radical rule.
[tex]\Longrightarrow: \sf{4^2=\boxed{\sf{4}}[/tex]
Therefore, the correct answer is 4.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]\±4[/tex]
Step-by-step explanation:
Given expression: [tex]\sqrt{28 - 3(4)}[/tex]
Here, we can see that the terms, 28 and 3(4) are inside the root. Since the two terms are inside the root, we can subtract them. Therefore:
[tex]\implies\sqrt{28 - 3(4)}[/tex][tex]\implies\sqrt{28 - 12}[/tex][tex]\implies\sqrt{16}[/tex]Usually, [tex]\sqrt{16}[/tex] can also be written as [tex]\sqrt[2]{16}[/tex]. Therefore:
[tex]\implies\sqrt[2]{16} = \sqrt[2]{4 \times 4} = \± 4[/tex]Therefore, the simplified expression is ±4.
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Suppose that you have been hired at an annual salary of $16,000 and expect to receive annual increase of 3%. What will your salary be when you begin your sixth year?
well, at the beginning of the 6th year, you've been there for 5 whole years, so you've gotten 5 increases hmmm
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &16000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=16000(1 + 0.03)^{5}\implies A=16000(1.03)^5\implies A\approx 18548.39[/tex]
How to graph (x-2)(y-3)=0
Step-by-step explanation:
here you want to isolate the y.
so what you do in the beginning is divide both sides by x-2.
then, you'll have y-3 = 0
so y = 3
this is a horizontal graph that crosses the y axis and y = 3.
How do you add 2 1/4 plus 3/4
Answer:
Step-by-step explanation: first change 2 1/4 to a improper fraction
you are going to have 9/4 next add 9/4 plus 3/4 which will be equal to12/4 which is the same as 3
circle the possible values that satisfy each inequality!
Answer:
25
Step-by-step explanation:
5 > x/5
5 × 5 > (x/5) × 5
25 > x
(-24uy^2+19u^3y^5)/(-3u^3y^5)
Simplify
Answer:
8/(u^2y^3) -19/3
Step-by-step explanation:
The relevant rules of exponents are ...
(a^b)/(a^c) = 1/a^(c-b)
a^0 = 1
__
Your expression can be simplified like this:
[tex]\dfrac{-24uy^2+19u^3y^5}{-3u^3y^5}=\dfrac{24uy^2}{3u^3y^5}-\dfrac{19u^3y^5}{3u^3y^5}=\boxed{\dfrac{8}{u^2y^3}-\dfrac{19}{3}}[/tex]
Help pls!!!!!!!!!! :<<<<
The answer to this question is D 2/4
Tory is going to the fair with four of her friends. The entrance fee per person is $7.50. They plan to go together on all the rides. The cost of each ride is $3.00. Write an expression to represent the cost of the group to go to the fair for any number of rides.
Answer:
$37.5+$3r
Step-by-step explanation:
We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).
We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.
Then, you can add it which is $37.5+$3r
The amount of work to move a chair to the living room is equal to 10 joules. How much work would it be to move the same chair using a simple machine?
The work done by the machine is the product of force and distance
The amount of work done by the machine is 10 joules
How to determine the amount of work?The amount of work done is calculated using:
W = Fd
Where:
F represents the forced represents the distanceThe distance moved to the living room is the same when you move the chair or a machine does is the same.
Also, if the force applied in moving the chair remains unchanged, the amount of work done would be the same.
Hence, the amount of work done by the machine is 10 joules
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[50 points]
P(AB) = P(An B)/P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
5
1
P(Boy|Sophomore) =
Answer:
[tex]\sf \dfrac{1}{10}[/tex]
Step-by-step explanation:
From the table:
Total number of Sophomores = 10Total number of students = 37Total number of Boys who are Sophomores = 1[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]
[tex]\sf \implies P(Sophomore)=\dfrac{10}{37}[/tex]
[tex]\sf \implies P(Boy \cap Sophomore)=\dfrac{1}{37}[/tex]
[tex]\begin{aligned}\sf P(Boy | Sophomore) & = \sf\dfrac{P(Boy \cap Sophomore)}{P(Sophomore)}\\\\ & = \sf \dfrac{1}{37} \div \dfrac{10}{37}\\\\ & = \sf\dfrac{1}{37} \times\dfrac{37}{10}\\\\ & = \sf\dfrac{1}{10}\end{aligned}[/tex]
Answer:
1/10
Explanation:
Given Boy Sophomores: 1
Given Total Boy: 3 + 1 + 4 + 2 = 10
So
⇒ P(Boy|Sophomore)
⇒ Boy Sophomore/Total Boy
⇒ 1/10
equivalent (x+ 4)(2r - 1)
Answer:
Step-by-step explanation:
r (2 x + 8) - x - 4
(2 r - 1) x + 8 r - 4
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answer:
no idea
is the answer
if you like my answer please like comment and mark me as brilliant
I NEED HELP ASAP PLEASE LOOK AT THE PICTURE
Answer:
385.6 m²
Step-by-step explanation:
The surface area of a prism is the sum of the surface areas of each of the faces. A triangular prism has two triangular faces and three rectangular faces. The areas of the rectangular faces will have a total equal to the perimeter of the triangle times the height of the prism.
__
Area = 2×triangle area + lateral area
= 2(1/2)(bh) +PH
= (16 m)(5.6 m) + (6 +15 +16 m)(8 m)
= 89.6 m² +296 m² = 385.6 m²
The surface area of the triangular prism is 385.6 square meters.
_____
Additional comment
In the above formula, we have used ...
b = triangle base (16 m)h = triangle height (5.6 m)P = triangle perimeter (6+15+16) mH = prism height (8 m)Use the given information about angles ABC and DBC to solve for x and the measures of each of the angles. ABC andDBC are supplementary angles. mABC = 3x + 19 and mDBC = 7x - 9. Solve for x and the measures ofABC andDBC. Complete your work in the space provided. Include your calculations and the steps necessary to solve for the measures ofABC andDBC.
Answer:
Below in bold.
Step-by-step explanation:
Supplementary angles add up to 180 dgrees, so we have the equation:
3x + 19 + 7x - 9 = 180
10x + 10 = 180
10x = 180 - 10
10x = 170
x = 17.
So m <ABC = 3(17) + 19 = 70 degrees
and m < DBC = 7(17) - 9 = 110 degrees.
Answer:
3x + 19+7x-9=180
10x+10=180
10x=180-10
10x=170
x =17
CO
8
6
4
N
Which function is graphed?
46
8
N
-8 -6 -4 -20
-2
-4
-6
-8
O A. y- *#4x23
[+ ,
1-x+4,52
You spin the spinner once.
234567
What is P(6)?
Write your answer as a fraction
or whole number.
Helps pls i did 120 questions
Answer:
1/6
Step-by-step explanation:
There are 6 possible numbers for the spinner to land on, and only 1 of those cases will be where the spinner lands on 6.
Therefore, the answer is 1/6
12y – 2x = 12
slope intercept form
Answer:
Step-by-step explanation:
12y = 2x + 12
y = 2/12x + 12/12
y = 1/6x + 1
The slope intercept form is y = (1/6)x + 1.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
12y - 2x = 12
The slope intercept form is y = mx + c.
So,
12y - 2x = 12
Add 2x on both sides.
12y = 12 + 2x
12y = 2x + 12
Divide both sides with 12.
y = (2/12)x + (12/12)
y = (1/6)x + 1
Thus,
The slope intercept form is y = (1/6)x + 1.
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What is the equation for the graph shown?
Answer:
[tex]y = \frac{2}{3}x + 4[/tex]
Step-by-step explanation:
The rule for graphs is:
[tex]y = mx + c[/tex]
Where [tex]m[/tex] is the gradient and [tex]c[/tex] is the y-intercept (where the line crosses the y-axis)
We can work out c by looking at our graph.
Our line crosses the y-axis at (0, 4). So... [tex]c=4[/tex]
To work out our gradient of a straight line (which is what we have)
We use the formula:
[tex]m = \frac{\triangle y}{\triangle x}[/tex]
The triangle [tex]\triangle[/tex] just means the "change in" the coordinates between any two points.
To calculate the change in y, we can pick any two points on our line!
Let's go for (0, 4) and (-6, 0)
To work out the gradient:
[tex]m = \frac{\triangle y}{\triangle x} = \frac{0 - 4}{-6 - 0} = \frac{-4}{-6} = \frac{4}{6} = \frac{2}{3}[/tex]
Using our formula
[tex]y = mx + c[/tex]
[tex]y = \frac{2}{3}x + 4[/tex]
These diagrams show the dimensions of two different windows. Which of the following statements are true? Choose all that apply.
Window A
3 ft
8 ft
Window
B
4 ft
6 ft
O A. The windows have the same area.
B. The perimeter of Window A is less than the perimeter of Window B.
C. The perimeter of Window B is 20 feet.
OD. The area of Window A is 22 square feet.
Evaluate lim x²-1 x/x^2+3x-4
Nandyan na po
Step-by-step explanation:
I hope I help1) For x2 + 35x - 36 = (x + 2)(x + _), the operation signs of the factors are:
Step-by-step explanation:
please make it a little bit clear
solve for x ~
[tex]x {}^{2} - 4x = 0[/tex]
thankyou ~
Answer:
[tex]x = 0 \\ x = 4[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 4x = 0 \\ x(x - 4) = 0 \\ \\ x = 0 \\ \\ x - 4 = 0 \: - > x = 4[/tex]
What is the least common denominator of 7/10 and 4/5?
Answer:
10
Step-by-step explanation:
The least common denominator can be found by finding the LCM of the 2 denominators:
First let's list the multiples of the first denominator :
10,20,30,40,50
Now let's list the multiples of the second denominator :
5,10,15,20,25
As we can see the lowest number that appears in both lists is 10.
Therefore 10 is the least common denominator.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.
Are physical activities becoming safer or more dangerous
The mean amount of money Sadie saves each month is $10,724.29.
What is the mean amount of money saved each month?
Mean is a measure of central tendency that is used to determine the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(10150 + 102211 + 10424 + 10769 + 11155 + 11477) / 7 = $10,724.29.
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I NEED HELP ON THIS QUESTION (I will give a Brainlist to the best one no links please.)
Is 5/2 to the right of number 1 on number line?
Answer:
Yes;
Step-by-step explanation:
5/2 = 2 1/2
2 1/2 > 1
Yes, 5/2 is to the right of 1 on a number line.
find the MAD of 0, 2, 4, 4, 6, 8, 8, 12
Answer:
Mean Absolute Deviation (MAD): 3
Step-by-step explanation:
