Answer:
1/6 × 1/6
The complete question related to this as found on math24seven website is stated below:
Find the errors. Mario and Tabitha are calculating the probability of getting a 4 and then a 2 if they roll a die twice. Who is correct? Explain your reasoning.
Find attached their calculations
Step-by-step explanation:
We are to determine which of the two calculations given by Mario and Tabitha for getting a probability of 4 and then 2 is correct.
To do this, let's work out the calculations ourselves.
In a die, we have the faces numbered from 1 to 6
Outcome of rolling a die = {1, 2, 3, 4, 5, 6}
If the die is rolled twice, the probability of getting a 4 and then 2 = Pr(4 in the first roll and 2 in the 2nd roll)
Let the probability = Pr(2 and 4)
Probability of getting 2 = Pr(2)
Pr(2) = (number times it occurred)/(total number of outcome)
Pr(2) = 1/6
Probability of getting 4 = Pr(4)
Pr(4) = (number times it occurred)/(total number of outcome)
Pr(4) = 1/6
Pr(2 and 4) = 1/6 × 1/6
Looking at both calculations, only Mario has same answer as derived from the calculation.
Therefore Mario is correct.
Please help me asapppppp
Answer:
3x+4
Step-by-step explanation:
The perimeter is given by
P = 2 ( l+w)
We know the perimeter is 8x+8
8x+8 = 2 ( l+w)
Divide each side by 2
4x+4 = l+w
The width is x
4x+4 = l+x
Subtract x from each side
4x+4-x = l+x-x
3x+4 = l
The length is 3x+4
AC and DB are chords that intersect at point H. A circle is shown. Chords A C and D B intersect at point H. The length of A H is 20 minus x, the length of H B is 12 minus x, the length of D H is x + 4, and the length of H C is x. What is the length of line segment DB?
Answer:
16 units
Step-by-step explanation:
Chords AC and DB intersect at H and:
AH =20-x
HB=12-x
DH=x + 4
HC=x.
Using the theorem of intersecting chords
AH X HC = DH X HB
[tex]x(20-x)=(x+4)(12-x)\\20x-x^2=12x-x^2+48-4x\\20x=8x+48\\20x-8x=48\\12x=48\\x=4[/tex]
Therefore:
DB = DH +HB
=x+4+12-x
=4+4+12-4
=16 Units
Answer:
The answer is C on Edge 2020
Step-by-step explanation:
I did the Exam
What is the y-intercept of the function f(x)= -2/9x+1/3?
Answer:
1/3
Step-by-step explanation:
y=MX+b
y=-2/9x+1/3
b=y-intercept
There can be more than one option answer fast in two minutes
Answer:
Option 1 and Option 2
Step-by-step explanation:
They both come to an intersection at a singular vortex
MARK AS BRAINLIEST
Answer:
Options 1, 2, and 4.
Step-by-step explanation:
Segments PS and OP intersect.
Segments PS and NP intersect.
Segments OR and QS do not intersect.
Segments NO and NP intersect.
Sorry this was a bit late but hope this helps!
Find the cost per ounce of a gold alloy made from 10 oz of pure gold that costs $1288 per ounce and 55 oz of an alloy that costs $900 per ounce. (Round your answer to the nearest cent.)
Answer:
$959.69 per oz
Step-by-step explanation:
A gold alloy is produced from pure gold and alloy.
10 oz of pure gold costs $1,288 per ounce
55 oz of alloy costs $900 per ounce
The first step is to add the cost of both the pure gold and alloy together
= (10 oz × $1288)+(55 oz × $900)
= $12,880+$49,500
= $62,380
Therefore the cost per ounce can be calculated as follows
= $62,380/10 oz + 55 oz
= $62,380/65 oz
= $959.69 per oz.
Hence the cost per ounce of the gold alloy is $959.69 per ounce
1. A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48 Find the height of the house to the nearest tenth
2. A bird is flying at a height of 2 meters above the sea level. The angle of depression from the bird to the fish it sees on the surface of the ocean is 15^c irc. Find the distance the bird must fly to be directly above the fish. Round to the nearest tenth
Please help me as soon as possible! I have to get this done before tomorrow! Please helpppp
Answer:
(1)55.5 feet
(2)7.5 feet
Step-by-step explanation:
Question 1
The diagram is attached below.
Using Trigonometric ratio
[tex]\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)[/tex]
The height of the house is 55.5 feet to the nearest tenth.
Question 2
In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.
Using Trigonometric ratio
[tex]\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)[/tex]
The distance the bird must fly to be directly above the fish is 7.5 feet.
Work out the mean for the data set below: 2.2, 2, 8.9, 4.1, 8.2
Find the midpoint of the line segment with end coordinates of: ( 2 , 4 ) and ( 4 , 4 )
Answer:
(3, 4)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Just plug in the coordinates as variables to find your answer:
(2 + 4)/2 = 3
(4 + 4)/2 = 4
Please answer this question in two minutes
Answer:
D: 57 units
hope this helps!!
What type of function is represented in the table?
quadratic
exponential
logarithmic
linear
Answer:
Option (4)
Step-by-step explanation:
Given table in the picture is,
x y 1st difference
0 -7 -
1 -2 -2 - (-7) = 5
2 3 3 - (-2) = 5
3 8 8 - (3) = 5
4 13 13 - 8 = 5
5 18 18 - 13 = 5
There is a common difference of 5 between every consecutive numbers.
Therefore, this table represents a linear function.
Option (4) will be the answer.
The type of function represented in the table is linear.
Given the table in the picture is,
x y 1st difference
0 -7 -
1 -2 -2 - (-7) = 5
2 3 3 - (-2) = 5
3 8 8 - (3) = 5
4 13 13 - 8 = 5
5 18 18 - 13 = 5
There is a common difference of 5 between every consecutive number.
What is the linear function?The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
Therefore, this table represents a linear function.
Option (4) will be the answer.
To learn more about the linear function visit:
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Which word best compleates the statement below look at the diagram to help
Answer:
The answer is option B.
RectanglesHope this helps you
Answer:
trapezoids
Step-by-step explanation:
i know i can delete rectangles and square, but rhombuses and parallelogram don't really have in common so the answer is trapezoids.
is quite easy 4th grade math
hope this helped :)
Simplify this expression 3x +2a +5x +4a
Answer: 8x + 6a
Step-by-step explanation: Combine your "x" terms and your "a" terms.
So 3x + 5x is 8x and 2a + 4a is 6a.
So the answer is 8x + 6a.
The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system. x + 2 y = negative 2. y = one-half x minus 5. Kaden’s Graph On a coordinate plane, a line goes through (0, negative 1) and (2, negative 2). What is the solution to the system of equations? no solution infinitely many solutions (4, –3) (1.5, –1.75)
Answer:
C. (4, -3)
Step-by-step explanation:
edge 2020 :D
also different slopes in the y = mx + a, so there are different slopes between 1/2 and 2 and different y-intercepts, -2 and -5. there can be one solution but you gotta figure that out
We can conclude the following answers -
Kaden's graph has infinitely many solutions.Solution set for the given system of equations is (4, -3).What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
{m} is the slope of the line.
{c} is the {y} - intercept.
Given is that on a coordinate plane, a line goes through (0, negative 1) and (2, negative 2). This line represents Kaden’s Graph. Also a system of equations is given as -
x + 2y = - 2
y = (x/2) - 5
{ 1 } -
Kaden's graph passes through the points -
(0, - 1)
(2, - 2)
We can write the equation of the Kaden's graph as -
y = {(- 2 + 1)/(2 - 0)}x + {- 1}
y = - x/2 - 1
There is only one equation for Kaden's graph. Hence, it has infinitely many solutions.
{ 2 } -
x + 2y = - 2
y = (x/2) - 5
We can write -
x = - 2 - 2y
So -
y = (- 2 - 2y)/2 - 5
y = - 1 - y - 5
2y = - 6
{y} = -3
x = - 2 - 2 x - 3
{x} = 4
Therefore, we can conclude that -
Kaden's graph has infinitely many solutions.Solution set for the given system of equations is (4, -3).To solve more questions on straight line equations, visit the link-
https://brainly.com/question/29223887
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A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table? x y Negative two-thirds Negative three-fourths Negative one-sixth Negative StartFraction 9 Over 16 EndFraction One-third Negative StartFraction 3 Over 8 EndFraction StartFraction 5 Over 6 EndFraction Negative StartFraction 3 Over 16 EndFraction It has the same slope and the same y-intercept. It has the same slope and a different y-intercept. It has the same y-intercept and a different slope. It has a different slope and a different y-intercept.
Answer:
(B) It has the same slope and a different y-intercept
Step-by-step explanation:
The table is presented below:
[tex]\left|\begin{array}{c|c}x&y\\----&---\\-\frac{2}{3} &-\frac{3}{4}\\\\-\frac{1}{6}&-\frac{9}{16}\\\\\frac{1}{3}&-\frac{3}{8}\\\\\frac{5}{6}&-\frac{3}{16}\end{array}\right|[/tex]
Gradient
[tex]m=\dfrac{-\frac{3}{8}-(-\frac{3}{4})}{\frac{1}{3}-(-\frac{2}{3})}\\=\dfrac{-\frac{3}{8}+\frac{3}{4}}{\frac{1}{3}+\frac{2}{3}}\\=\frac{3}{8}\div \frac{3}{3}\\m=\frac{3}{8}[/tex]
Next, we determine its y-intercept
Using the pair [tex](-\frac{2}{3},-\frac{3}{4})[/tex] in y=mx+b
[tex]-\frac{3}{4}=(\frac{3}{8})(-\frac{2}{3})+b\\-\frac{3}{4}+\frac{1}{4}=b\\b=-\frac{1}{2}[/tex]
Comparing with the linear function has an x-intercept of 12 and a slope of [tex]\frac{3}{8}[/tex], we find out that It has the same slope and a different y-intercept.
Option B is the correct option.
Answer:
B
It has the same slope and a different y-intercept
Step-by-step explanation:
please rate and ❤️❤️❤️
PLEASE ANSWER ASAP!! THANKS!!
Answer:
40
Step-by-step explanation:
The angles stay the same but, the position of the triangle changes.
Hope this helps,
kavitha
Answer: A’ = 40ᴼ
Step-by-step explanation:
The angles are congruent and add to equal 180ᴼ
A = 40ᴼ
The measure of A stays the same when the angles are rotated
solve simple maths question...
Answer:
1) (-1,4)
2) (3,-2)
3) (4,1)
4) (3,0)
Step-by-step explanation:
Half the distance between the different coordinates, ignoring the coordinates that are the same between both points. (1,0) and (5,0) become (3,0) because 5-1=4 and 4/2 = 2 and 1+2=3.
Hope this helps <3
Answer:
Step-by-step explanation:
Please answer this question now in two minutes
Answer:
130
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
130.4
A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she went down 58 ft how many feet had she been below sea level if she was 141.5 ft below sea level after she went down
Answer: 199.5 ft
Step-by-step explanation:
Given: A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she went down 58 ft.
If she was 141.5 ft below sea level after she went down , then she had been (141.5 ft + 58 ft) = 199.5 ft below sea level.
Hence, If she was 141.5 ft below sea level after she went down , then she had been 199.5 ft below sea level.
the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place
Answer:
√3 * 5 = 5√3 cm
Step-by-step explanation:
→ ABCDEFGH is a cube.
→ CF = Diagonal of cube.
→ CH = Diagonal of Base Face BCDH.
→ Let the side of Each cube = a.
Than,
in Right ∆CFH, By Pythagoras Theoram, we have,
→ CH² + FH² = CF² --------- Equation (1)
and, Similarly, in Right ∆CDH ,
→ CD² + DH² = CH² ------- Equation (2).
Putting Value of Equation (2) in Equation (1), we get,
→ (CD² + DH²) + FH² = CF²
→ a² + a² + a² = CF²
→ CF² = 3a²
→ CF = √3a .
Hence, we can say That Diagonal of a cube is √3 times of its sides.
__________________
Given:-
Side of cube = 5cm.
So,
→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)
The explicit formula for the geometric sequence Negative one-ninth, one-third, negative 1, 3, negative 9, ellipsis is f (x) = negative one-ninth (negative 3) Superscript x minus 1. What is the common ratio and recursive formula for this sequence?
Answer:
Common ratio, r=-3
Recursive Formula
[tex]f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},[/tex]
Step-by-step explanation:
The formula for the geometric sequence: [tex]-\dfrac{1}{9} ,\dfrac{1}{3}, -1,3,-9,\cdots[/tex] is given as:
[tex]f(x)=-\dfrac{1}{9}(-3)^{x-1}[/tex]
Common Ratio
Dividing the next terms by the previous terms, we obtain:
[tex]\dfrac{1}{3} \div -\dfrac{1}{9} = \dfrac{1}{3} \times -9 =-3\\3 \div -1 =-3\\-9 \div 3 =-3[/tex]
Therefore, the common ratio of the sequence, r=-3
Recursive Formula
We observe that the next term, [tex]f(n)[/tex] is obtained by the multiplication of the previous term. f(n-1) by -3.
Therefore, a recursive formula for the sequence is:
[tex]f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},[/tex]
Answer:
It is in fact B. −3; f(x + 1) = −3(f(x))
Step-by-step explanation:
If you have this question on Edge, go with this.
explain the relationship between the legs and the hypotenuse of a right triangle.
Answer:
According to the pythagorean theorem, a^2 + b^2 =c^2
c signifies the hypotenuse
a and b are the two legs
the sum of the two legs squared measures will equal the measure of the hypotenuse squared.
Step-by-step explanation:
Please help I need it in 5 minutes!
Answer:
[tex]11^{-10}[/tex]
Step-by-step explanation:
When you divide exponents, you subtract their powers:
-5 - 5 = -10
[tex]11^{-10}[/tex]
a man bought a lot for 1200 and sold it for 1500. his percent of gain based on his purchase was
Answer: The percent gain was 25%.
Step-by-step explanation:
Given, Cost price of lot = $1,200
Selling price of lot = $1,500
The percent gain = [tex]\dfrac{\text{selling price- cost price}}{\text{cost price}}\times100[/tex]
⇒ Percent gain =[tex]\dfrac{1500-1200}{1200}\times100\%[/tex]
[tex]\Rightarrow\text{ Percent gain}=\dfrac{300}{1200}\times100\%\\\\\Rightarrow\text{ Percent gain}=\dfrac{1}{4}\times100\%\\\\\Rightarrow\text{ Percent gain}=25\%[/tex]
Hence, the percent gain was 25% based on his purchase.
Margaret is thinking of a number. She says, “My number is odd. It is a factor of 36 and a multiple of 3” There are two possible numbers Margaret can be thinking of. Write down these two numbers.
Answer:
3,9
Step-by-step explanation:
Factors of 36 = 1,2,3,4,6,9,12,18,36
Those factors which are odd = 1,3,9
Odd Factors which are multiple of 3 = 3,9
So, these are the two numbers Margret might be thinking of.
A 6 sided die numbered 1 to 6 is rolled . Find the probability that in the roll of the results is an odd number or less than 4
Answer:
4/6 or 66%
Step-by-step explanation:
Odd numbers from 1 to 6 are: 1, 3, 5
Numbers less than 4 are: 1, 2, 3
So there are 4/ 6 possible outcomes.
So the probability is 4/6 or 66%.
A solid oblique pyramid has a regular hexagonal base with an area of 54StartRoot 3 EndRoot cm2 and an edge length of 6 cm. Angle BAC measures 60°. What is the volume of the pyramid?
Answer:
its c 324cm3
Step-by-step explanation:
i took the test
Based on the calculations, the volume of this pyramid is equal to 324 cm³.
Given the following data:
Base area = 54√3 cm².Edge length = 6 centimeters.Angle BAC = 60°.How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid is calculated by using this formula:
Volume = 1/3 × base area × height
Next, we would determine the height of the pyramid from the right-angled triangle ABC by applying Tan trigonometry:
Tanθ = Opp/Adj = BC/AC
Tan60 = height/6
√3 = height/6
Height = 6√3 cm.
Now, we can calculate the volume:
Volume = 1/3 × base area × height
Volume = 1/3 × 54√3 × 6√3
Volume = 1/3 × 972
Volume = 324 cm³.
Read more on pyramid here: brainly.com/question/16315790
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could someone help?
Answer:
Step-by-step explanation:
subtract 3 from each
8-3≤3-5z-3<12-3
or 5≤-5z<9
divide by 5
5/5 ≤ -5z/5<9/5
or 1≤-z<1.8
multiply by -1
-1 ≥z>-1.8
or -1.8≤z<-1
Answer:
-1 ≥ z > -1.8
Step-by-step explanation:
Maybe you want to find the solution set.
__
Subtract 3 from the inequality:
5 ≤ -5z < 9
Divide by -5:
-1 ≥ z > -1.8
_____
Personally, I like to write these with the inequality symbols pointing to the left. That way, the elements of the expression are in number-line order.
-1.8 < z ≤ -1
Just ignore the language that you not understand, just read in English... Pls help me...
Answer:
Step-by-step explanation:
LX ^2=30^2+16^2=900+256=1156
LX=✓1156=34m
LZ=40-14=26m
ZY=2pi*14/4=22/7*7=22m
YN=30-14=16m
NX=24m
P=34+26+22+16+24=122 m
Henry earns a base salary plus commission. At the end of March he was paid \$2,427 based on his monthly sales of \$15,800. At the end of April he earned \$2,771.50 based on \$21,100 in sales. What was his base salary?
You don't have to show your work
Answer:
The base salary is $1,400
Step-by-step explanation:
Here, we are interested in calculating the base salary.
Now let’s picture his earnings as this, a base salary of let’s say $x and a percentage of y% of total sales as commission.
So let’s move!
For the month of march, his earnings is calculated as follows;
x + (y/100 * 15,800) = 2427
so we have;
x + 158y = 2427 •••••••(i)
For the month of April, we have
x + (y/100 * 21,100) = 2771.5
x + 211y = 2771.5 ••••••(ii)
So we have two equations to solve simultaneously.
We can easily get y by subtracting equation i from ii
That would be ;
(211y-158y) = 2771.5-2427
53y = 344.5
y = 344.5/53
y = 6.5%
So we can now get the base salary by substituting the value of y in any of the equations. Let’s use the first
x + 158(6.5) = 2427
x + 1027 = 2427
x = 2427-1027
x = $1,400
Simple question
please help me solve this
Answer:
290 m³
Step-by-step explanation:
Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.
Volume of rectangular prism = width (w) × height (h) × length (l)
==>The prism on top has:
l = 3m
w = 8-3 = 5m
h = 6m
Volume (V1) = 3*5*6 = 90m³
==>The prism beneath has:
l = 8m
w = 5m
h = 5m
Volume (V2) = 8*5*5 = 200m³
Volume of the composite figure = V1 + V2 = 90+200 = 290 m³