D
Step-by-step explanation:
Probabilities are used to determine the chances of picking a marble
The probability of picking a blue marble is: x/20
The given parameters are:
[tex]\mathbf{Marbles = 40}[/tex]
[tex]\mathbf{Red = x}[/tex]
The probability of picking a red marble is calculated as:
[tex]\mathbf{Pr = \frac{Red}{Marbles}}[/tex]
Substitute values for Red and Marbles
[tex]\mathbf{Pr = \frac{x}{40}}[/tex]
He is twice as likely to randomly pick a blue marble from a bag as she is to pick a red marble
So, the probability of picking a blue marble is:
[tex]\mathbf{P(Blue) = 2 \times \frac x{40}}[/tex]
This gives
[tex]\mathbf{P(Blue) = \frac x{20}}[/tex]
Hence, the probability of picking a blue marble is: x/20
Read more about probabilities at:
https://brainly.com/question/11234923
The equation of a circle is given below. ( x + 7 ) 2 + ( y + 8 ) 2 = 4 9 (x+7) 2 +(y+8) 2 = 9 4 left parenthesis, x, plus, 7, right parenthesis, squared, plus, left parenthesis, y, plus, 8, right parenthesis, squared, equals, start fraction, 4, divided by, 9, end fraction What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Answer:
The center is (-7,-8) and the radius is sqrt (2/3)
Step-by-step explanation:
( x + 7 )^ 2 + ( y + 8 ) ^2 = 4 /6
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting
( x - -7 )^ 2 + ( y - -8 )^ 2 = (sqrt(2/3)^2
The center is (-7,-8) and the radius is sqrt (2/3)
Answer:
center: (-7,-8) radius: 2/3
Step-by-step explanation:
i got this from wegnerkolmp2741o. thank you wegnerkolmp2741o!!!!!
also got this correct on khan academy
Find the number of rectangles in 6×6 chessboard.
Answer:
36
Step-by-step explanation:
quick maths
Answer:
36 rectangles
Step-by-step explanation:
Assuming that all you are asking for is the individual number of squares (not the number of squares and rectangles that can be made when combining the individual ones), the answer is 36.
We get this by multiplying the six squares on one side by the six on the other side. This allows us to calculate the total number! You can do this on a calculator or by hand.
However, if you would like the TOTAL number of rectangles that includes combining the individual ones, this chessboard would have 91 squares and 441 rectangles.
Can someone help me solve this?
Thank you!
Answer:b=-43.38
Step-by-step explanation:
A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served. A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90. If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
Answer:
Step-by-step explanation:
If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.
If we introduce a constant of proportionality, k , the relationship would be
t = kg
Given that
When t = 18, g = 10, then
18 = k × 10
k = 18/10 = 1.8
Therefore, the equation representing the relationship is
t = 1.8g
Answer:
answer is a
Step-by-step explanation:
7x -5 (x +6) simplify this algebraic expression completely
Answer:
2x-30
Step-by-step explanation:
Expand: 7x-5x-30
=2x-30
Question: Sara started her homework at 5:30 p.M. And finished it at 9:15 p.M. How much time did she take to finish her homework? [ 3 marks] Show your answer in 24 hour clock system. [ 2 marks]
Step-by-step explanation:
530pm = 17:50 in 24hr/military time
915pm = 21:15 in 24hr/military time
therefore..
24hr/military time. 21:15 - 17:50 = 3.65hr
our time. 3hr 45min
It took Sarah 3 hours and 45 minutes to finish her homework
The answer in 24 hour clock system is 3:45
The calculation can be done as follows
Sarah started her home work at 5:30 pm
She finished at 9:15pm
The time range here is 3 hours, 45 minutes
Please see the link below for more information
https://brainly.com/question/24991186?referrer=searchResults
What is the total surface area of the square pyramid below?
10 14 10 plz help:(
Answer: 380[tex]cm^{2}[/tex]
Step-by-step explanation:
Area of triangle= 14 x 10 = 140
140/2 = 70
4 triangles= 70 x 4 = 280
Area of the square= 10 x 10 = 100
Total surface area= 280 + 100 = 380[tex]cm^{2}[/tex]
hello fellow army :)
Geometry, Inverse Trigonometry Find the measure of the indicated angle to the nearest degree
Answer:
? = 44 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adjacent side
tan ? = 46/48
Take the inverse tan of each side
tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)
? = 43.78112476
To the nearest degree
? = 44 degrees
Which of the following decimals is equivalent to 6%? A. 600 B. 6 C. 0.6 D. 0.06
Answer:
D
Step-by-step explanation:
what is the term to term rule for the sequence: 5 10 20 40 80 PLEASE HELP ITS URGENT
In the sequence 5,10,20,40,80.. I can see that it is doubled each time.
Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.
Good luck! Stay safe!
- Eli <3
Explain why it is important to be able to perform
matrix operations by hand when a calculator can
do them for you.
Answer:
The answer is explained below
Step-by-step explanation:
I am going to list a series of points where it is important to learn how to perform matrix operations.
1. The first and most important is that calculators may not always be available, and even if you do have them there will be cases where they won't let you use them.
2. By performing the operation by hand it will allow you to understand the process in a better way, such as finding an inverse, if you do this with a calculator you will most likely not know what was done.
3. Although it seems basic, some calculators cannot display the elements of a matrix as fractions, which is important to understand the process.
4. There are special cases such as when an array could contain a variable and the calculator could not be used in this case.
5. Although in most cases the calculator can help us get out of the operation quickly, sometimes it is faster at hand and, most importantly, when performing the step by step, you understand the entire operation better.
INCLUDE:
Calculators may not always be available.
Finding an inverse by hand allows me to understand the process.
Calculators may not show the elements of a matrix as fractions.
Sometimes it is faster by hand.
A matrix could contain a variable.
Find the sum or difference.
81-3
3
Answer:
48
Step-by-step explanation:
81 - 33 = 48
Answer:
48
Step-by-step explanation:
81 - 33 = 48
Do 81 - 30 first = 51
Then do 51 - 3 = 48
Mrs. E buys a pair of jeans and receives a 35% discount. If the original price of the jeans was $55, how much does Mrs. E pay before taxes?
Answer:
40.39
Step-by-step explanation:
35% discount off 55 is 19.25
$35.75 is the answer
to calculate the tax its 13% rate in your area or what ever
1.13 x 35.75 = 40.39
Point T is the midpoint of line AB. If TB=6, find the length of AB?
Answer:
Length of AB is 12
Step-by-step explanation:
Here, we are concerned with finding the full length of line AB, given the distance between the midpoint of the line AB and the point B itself
What this means is that, the distance of the halfway of the full length is 6
So the total distance would be twice the halfway distance
So if the halfway distance is 6, then the full distance would be 6 * 2 = 12
So the length of AB = 12
What is the answer to (-9c)-4=-25
Answer:
c= 7/3
Step-by-step explanation:
To solve for c:
Simplify the equation by moving all numbers to one side and variables to the other
-9c-4=-25
-9c= -25+4
-9c=-21
Now isolate c by dividing both sides by its coefficient (-9)
c= -21/-9
Since the (-) cancel out, this simplifies to:
c= 21/9
Now reduce the fraction by dividing the right hand side by a common value of 3:
c= 7/3
The value of x must be greater than
B
12
0
O 1
А
15
O 3
O 7
Answer:
x > 3
Step-by-step explanation:
Given 2 sides of a triangle then the third side x will be
difference of sides < x < sum of sides , that is
15 - 12 < x < 15 + 12, so
3 < x < 27
Thus x > 3
Answer:
C. 3
Step-by-step explanation:
x > 3
Ed 2020
One ordered pair (a,b) satisfies the two equations ab^4 = 384 and a^2 b^5 = 4608. What is the value of a in this ordered pair?
Answer: a = 3∛2
Step-by-step explanation:
ab⁴ = 384 --> a = 384/b⁴
Substitute a = 384/b⁴ into the second equation to solve for "b".
a²b⁵ = 4608
[tex]\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b[/tex]
Substitute b = 2∛4 into the first equation to solve for "a".
ab⁴ = 384
a(2∛4)⁴ = 384
a = 384/(2∛4)⁴
a = 24/4∛4
= 6/∛4
= 6(∛2)/2
= 3∛2
A symbol used to represent an unkown value in an expression or an equation is called
Answer:
Variable
Step-by-step explanation:
A variable is a letter or symbol used as a placeholder for an unknown value in an expression or equation.
Hope this helps..
Good Luck!
Answer:
variable
Step-by-step explanation:
A symbol use to represent an unknown value in an expression or an equation is called a variable.
What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?
Answer:
x = 200
Step-by-step explanation:
1/5x – 2/3y = 30
substitute in y
1/5x - 2/3(15) = 30
multiply
1/5x - 10 = 30
isolate the variable
1/5x = 40
multiply each side by 5
x = 200
Answer:
x = 200
Step-by-step explanation:
1/5x - 2/3y = 30
Put y as 15 and evaluate.
1/5x - 2/3(15) = 30
1/5x - 30/3 = 30
1/5x - 10 = 30
Add 10 on both sides.
1/5x = 40
Multiply both sides by 5.
x = 200
Can someone please help me I really need help please help me
Answer:
≈ 18.87 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the trapezium and the semicircle.
The area (A) of the trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h( a + b)
where h is the height and a, b the parallel bases
Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus
A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²
area of semicircle = [tex]\frac{1}{2}[/tex]πr² = [tex]\frac{1}{2}[/tex]π × 4² = 8π cm²
Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places )
Answer:≈ 18.87 cm²
Step-by-step explanation:
Answer:
≈ 18.87 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the trapezium and the semicircle.
The area (A) of the trapezium is calculated as
A = h( a + b)
where h is the height and a, b the parallel bases
Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus
A = × 4 × (14 + 8) = 2 × 22 = 44 cm²
area of semicircle = πr² = π × 4² = 8π cm²
Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places
what is the simplified form of this expression 7(^3sqrt2x)-3(^3sqrt16x)-3(^3sqrt8x)
Answer:
[tex]7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]Solution,
[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]
Hope this helps...
Good luck on your assignment...
Determine the equation for the given line in
slope-intercept form.
Oy=-5/3x-1
Oy= 5/3x+1
Oy= 3/5x+1
Oy=-3/5x+1
Answer:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
From the graph using points ( 5 , - 4) and
( -5 , 2)
Slope = 2+4/ -5 - 5= 6/-10 = - 3/5
Equation of the line using point (5,-4) is
y + 4 = -3/5(x - 5)
y = -3/5x + 3 - 4
y = -3/5x - 1
Hope this helps
Represent 1/3 and 5/2 on the same number line.
Step-by-step explanation:
1/3 and 5/2 can be shown as:
1/3= 3/6 5/2= 15/6points with 1/6 interval on the number line:
0, 1/6, 2/6, 3/6, 4/6, ..., 15/6
Which function increases at the fastest rate between x = 0 and x = 8? A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18. A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258. A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130. A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Answer:
The correct option is;
Exponential function 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
Step-by-step explanation:
The given functions are;
f(x) = 2x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 6, 10, 14, 18
f(x) = 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
f(x) = 2·x² + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 10, 34, 74, 130
f(x) = 3·x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 8, 14, 20, 26
By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2
Answer: The answer is B on edg
Step-by-step explanation:
The histogram shows the number of miles drive by a sample of automobiles in New York City. Which is a reasonable explanation for the large gap in the histogram?
Answer:
The gap in the histogram simply means that: out of all the automobiles sampled, there were none with number of miles driven between 17,500 miles and 32,500 miles.
Step-by-step explanation:
The histogram in question is missing from the question. It was obtained online and is attached to this solution.
A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.
If the bars are of equal width, the height of each bar corresponds to the frequency of the interval represented by that bar. If not, the frequency is given by the area of each bar (this is the major difference between a Bar chart and a histogram).
For this question, the histogram shows the number of miles driven by a sample of automobiles in New York City, the frequency of automobiles in each interval of miles driven is presented on the y or vertical axis and the miles driven is shown on the x-axis.
It is clear that 50 automobiles are in this sample and the class width of each interval of miles driven is 5000 miles.
So, the gap in between this histogram between the interval just after 17500 miles driven and just before 32500 miles driven simply means that none of the automobiles sampled had number of miles driven within this range.
Hope this Helps!!!
solve the equation x^2+4x-7=0 by completing the square. Give your answer to 2 decimal places
Answer:
x ≈ - 5.32 , x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4, that is
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x=-5.32 or x=1.32
0.75(8+e)=2-1.25e0.75(8+e)=2−1.25e what is e
Answer:
[tex]e=-2[/tex]
Step-by-step explanation:
Given: [tex]0.75(8+e)=2-1.25e[/tex]
Step 1: Distribute the Left-Hand Side
[tex]0.75*8+0.75*e=2-1.25e\\6+0.75e=2-1.25e[/tex]
Step 2: Collect like terms
[tex]0.75e+1.25e=2-6\\2e=-4[/tex]
Step 3: Divide both sides by 2
[tex]e=-2[/tex]
Answer:
E=-2
Step-by-step explanation:
I got this right on Khan!
Hope this helps! ;)
Find the slope and y-intercept of the line. 18x + 4y = 112 A)-9/2; 1/28 B)-2/9 ; 28 C)18; 112 D)-9/2; 28
Answer:
The slope is -9/2 and the y intercept is 28
Step-by-step explanation:
We want to put this in slope intercept form
y = mx+b where m is the slope and b is the y intercept
18x + 4y = 112
Subtract 18x from each side
18x+4y-18x = -18x+112
4y = -18x+112
Divide each side by 4
4y/4 = -18x/4 +112/4
y = -9/2x + 28
The slope is -9/2 and the y intercept is 28
Answer: D)-9/2; 28
Step-by-step explanation:
I need help I’m very confused with this question
Answer:
Option 1
Step-by-step explanation:
=> [tex]x^2-4x+2 = 10[/tex]
Adding 2 to both sides to complete the square
=> [tex]x^2-4x+4 = 12[/tex]
Completing the square
=> [tex](x-2)^2= 12[/tex]
Answer:
Step-by-step explanation:
exact form:
x=+2\sqrt(3+2)
decimal form:
x=5.46410161
Find x.
Help?...............
Answer:
x = 6
Step-by-step explanation:
For this, we simply can use similar triangles to build proportions to find the value of x.
The base of one triangle is 4 with a hypotenuse of x.
The base of the second triangle is x with a hypotenuse of 4+5.
Hence, we can build this proportion:
x/9 = 4/x
Now we solve for x in this proportion:
x/9 = 4/x
x * x = 9 * 4
x^2 = 36
x = 6
Now we know the value of x=6.
Cheers.