By using the concept of exponent, the result is-
The correct option is the third option
6 over 7 times 6 over 7 equals 36 over 49
What are exponent?
Exponent tells us how many times a number is multiplied by itself.
For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]
Here, 2 is multiplied by itself 4 times.
If [tex]a^m = a \times a \times a \times.... \times a[/tex] (m times), a is the base and m is the index.
The laws of index are
[tex]a^m \times a^n = a^{m + n}[/tex]
[tex]a^m \div a^n = a^{m - n}[/tex]
[tex]a^0 = 1[/tex]
[tex](a^m)^n = a^{mn}[/tex]
[tex](\frac{a}{b})^m = \frac{a^m}{b^m}[/tex]
[tex]a^{-m} = \frac{1}{a^m}[/tex]
Here, the given exponent is [tex](\frac{6}{7})^2[/tex]
[tex](\frac{6}{7})^2 \\\\= \frac{6}{7}\times \frac{6}{7}\\\= \frac{36}{49}[/tex]
[tex]= \frac{36}{49}[/tex]
So the correct option is the third option
6 over 7 times 6 over 7 equals 36 over 49
To learn more about exponent, refer to the link:
https://brainly.com/question/11975096
#SPJ9
Complete Question
Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2?
6 over 7 plus 2 equals 2 and 6 over 7
6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7
6 over 7 times 6 over 7 equals 36 over 49
6 over 7 divided by 2 equals 6 over 14
how to solve peggy is preparing a colored frosting for a cure. for the right shade of purple, she needs 25 milliliters of a 44% concentration food coloring. the store has a 25% red and a 50% blue concentration of food coloring. how many milliliters each of blue food coloring and red food coloring should be mixed to make the necessary amount of purple food coloring?
Answer:
25% red and 28% blue.
Step-by-step explanation:
I Need help wit this one
The area of the shaded region is 422.16 cm sq.
Given,
In the question:
Radius of the circle is 12 cm.
The length of rectangle is 10cm
and, Breadth of the rectangle is 3cm.
A rectangle sits inside a circle.
To find the Area of the shaded region.
Now, According to the question;
we know that:
Area of a circle is = [tex]\pi r^2[/tex]
Radius = 12cm
Area of a circle is = 144[tex]\pi[/tex]
Using [tex]\pi[/tex] = 3.14
Area of a circle is = 144 x 3.14 = 452.16 cm sq.
The area of rectangle = 3 x 10 = 30cm sq.
So, The area of the shaded region:
452.16 - 30 = 422.16cm sq.
Learn more about Area of rectangle at:
https://brainly.com/question/20693059
#SPJ1
Barabas received a mark of 50% on a recent test. Barabas answered 13 of the first 20 questions correctly. Barabas also answered 25% of the remaining questions on the test correctly. If each question on the test was worth one mark, how many questions in total were on the test?
Answer:
32
Step-by-step explanation:
You want the total number of questions on the test if the final score was 50%, and there were 13 correct out of the first 20, and 25% correct among the remainder.
SetupLet q represent the number of questions on the test. Then (q-20) is the number of remaining questions, and the number correct is ...
13 +0.25(q -20) = 0.5(q)
Solution8 +0.25q = 0.5q . . . . . . . simplify
8 = 0.25q . . . . . . . . . . . . subtract 0.25q
32 = q . . . . . . . . . . . . . . multiply by 4
There were 32 questions in total on the test.
If someone uses 400 liters of orange juice, how much strawberry juice would they need?
Answer:
you need to post the rest of the problem for us to figure it out. if someone walked up to you and asked you this you'd think they're out of their mind
Given that x is a nonnegative number, a student conjectured that x+4
The value of x is a counter example to the student's conjecture (x = 2).
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that x is a non-negative number, a student conjectured that x + 4 < x².
Since x is a non-negative number, A and B are eliminated.
This leaves C and D at the value of x = 2,
2 + 4 < 2²
6 < 4 is false.
Therefore, the value of x is a counterexample to the student's conjecture (x = 2).
To learn more about an expression click here https://brainly.com/question/22048677
#SPJ4
help
If f(1) = 3 and f(n) = f(n − 1) – 3 then find the value of f(4).
If f(1) = 3 and f(n) = f(n − 1) – 3 then the value of f(4) is -6.
Define function.A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
Given,
Function:
f(1) = 3
f(n) = f(n - 1) -3
Let n = 2
f(2) = f(2-1) - 3
f(2) = 3 - 3
Relation:
f(2) = 0
Let n = 3
f(3) = f(3 -1) - 3
f(3) = 0 -3
f(3) = -3
Let n = 4
f(4) = f( 4 -1) - 3
f(4) = -3 -3
Value:
f(4) = -6
If f(1) = 3 and f(n) = f(n − 1) – 3 then the value of f(4) is -6.
To learn more about function, visit:
https://brainly.com/question/24362239
#SPJ13
Find the equation of the linear function represented
by the table below in slope-intercept form.
X
1
2
3
4
y
0
-5
-10
-15
The equation of the linear function in slope-intercept form is [tex]y=-5x+5[/tex]
What is slope-intercept form of linear function?When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
Different values of x and y are given.
Find the slope using any two points from the given points.
[tex]m=\frac{-5-0}{2-1}\\ =-5[/tex]
Use the point-slope form of line to obtain the equation.
[tex]y-0=-5(x-1)\\[/tex]
Arrange the equation in slope- intercept form.
[tex]y=-5x+5[/tex]
So, the equation of the linear function in slope-intercept form is [tex]y=-5x+5[/tex].
To know more about slope-intercept form:
https://brainly.com/question/1884491
#SPJ13
Can you locate the school where sir isaac newton was once the lucasian professor of mathematics?.
Answer:
The second period from 1669 to 1687 was the highly productive period in which he was Lucasian professor at Cambridge. The third period (nearly as long as the other two combined) saw Newton as a highly paid government official in London with little further interest in mathematical research.
Step-by-step explanation:
What is 2+2 - 5 + 42 - 64 (5 x 5) - 32 x 1/2 + 6/5 * 2^5
Answer:
-1536.6 if not the answer den sorry
Step-by-step explanation:
Answer:
its -39363/25, -1574.32, and -1574 13/25 (hopefully this helps, sorry if its wrong)
Write the following expressions in correct algebraic notation:
a) 7 x p
b) p x p
The Algebraic Notation of the expression is :
a) 7 x p
7 is multiplied to the p
b) p x p
p is multiplied itself.
Given,
In the question:
a) ) 7 x p
b) p x p
To write the above expressions in correct algebraic notation.
What are the algebraic notations and operations?
The algebraic expressions are used to solve mathematical equations. There are 3 types of algebraic expressions namely, monomial, binomial, and polynomial expressions. The basic algebraic operations are addition, subtraction, multiplication, and division.
Come to the question:
a) 7 x p
7 is multiplied to the p
b) p x p
p is multiplied itself.
Hence, The Algebraic Notation of the expression is :
a) 7 x p
7 is multiplied to the p
b) p x p
p is multiplied itself.
Learn more about Algebraic Notation at:
https://brainly.com/question/2589989
#SPJ1
PLEASE HELP THIS IS OVERDO
What is the product of 2p + q and –3q – 6p + 1?
–12p2 – 6pq – 4p – 3q + 1
–12p2– 12pq + 2p – 3q2 + q
–9p2q2 + 12pq – 2p + q
12p2 + 12pq +2p + 3q2 + q
The product of the algebraic expression as the product of (2p + q) and (-3q - 6p + 1) is; - 12p² - 12pq + 2p - 3q²+ q
How to multiply algebraic expressions?
We want to find the product of (2p + q) and (-3q - 6p + 1) and this gives;
(2p + q) * (-3q - 6p + 1)
Now, this can be broken down further using distributive property of algebra into;
2p(-3q - 6p + 1) + q(-3q - 6p + 1)
= -6pq - 12p² + 2p - 3q² - 6pq + q
= - 12p² - 3q² - 12pq + 2p + q
Rearranging gives us;
- 12p² - 12pq + 2p - 3q²+ q
Read more about Algebraic Expressions at; https://brainly.com/question/4344214
#SPJ1
Suppose T: ℝ3→ℝ2 is a linear transformation. Let U, V and W be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(W).
U = 1, -3, 3 V = −1,3,−2 W = −3,9,−7 T(U) = 2,2 T(V) = 0,1
T(W) = ???
By using the concept of Linear Transformation, the value of T(W) obtained is T(W) = (2, 6)
What is Linear Transformation?
A function through one vector space to the next that respects this same underlying (linear) structure of the each vector space is called a linear transformation. A linear operator, or map, is another name for a linear transformation. The transformation is known as just an endomorphism as well as, if invertible, an automorphism when the range of a transformation matches the domain. The underlying field of the two vector spaces must be identical.
Let u, v be two element of a vector space V and let c be a scalar
T is said to be a Linear Transformation if
i) T(u + v) = T(u) + T(v)
ii) T(cu) = cT(u)
T: [tex]\mathbb{R}^{3} \rightarrow \mathbb{R}^2[/tex] is a linear transformation
U = (1, -3, 3), V = (−1,3,−2)
W = [tex]c_1[/tex] U + [tex]c_2[/tex] V
(-3, 9, -7) = [tex]c_1[/tex](1, -3, 3) + [tex]c_2[/tex](-1, 3, -2)
[tex]c_1 - c_2 = -3[/tex] ...... (1)
[tex]3c_1 - 2c_2 = -7[/tex] ..... (2)
Multiplying (1) by 2
[tex]2c_1 - 2c_2 = -6[/tex] .... (3)
Subtracting (2) from (3),
[tex]c_1 = 1[/tex]
Putting the value of [tex]c_1[/tex] in (1)
1 - [tex]c_2[/tex] = -3
[tex]c_2 = 3 + 1\\c_2 = 4[/tex]
T(W) = T(U) + 4T(V)
T(W) = (2, 2) + 4(0, 1)
T(W) = (2, 6)
To learn more about Linear Transformation, refer to the link-
https://brainly.com/question/20366660
#SPJ9
Whiskers the cat weights 2 2/3 kg piglio weighs 4 kg how many times as heavyas whiskers is piglio
The weight of Piglio is 3/2 times of weight of Whishkers.
Fraction is comparison between two mathematical numbers or quantities.
Given that, Whisker weights 2 2/3 kg
Piglio weights 4 kg
Weight of Piglio is fraction of weight of Whisker = 4/(2 2/3) = 4/(8/3) = (4*3)/8 = 3/2 times
The weight of Piglio is 3/2 times of weight of Whishkers.
To know more about Fraction refer to:
https://brainly.com/question/78672
#SPJ9
PLEASE HELP !!!! brainliest will be given to first answer
John is in charge of feeding the pigs and cows on the farm. The cow's food costs twice as much as the pig's food. There are 46 cows and 22 pigs on the farm. John has a $860 budget for food a month. How much can John spend on food for each cow per month?
Answer:
Approximately $15 per cow
Step-by-step explanation:
In a direct variation, y=80 when x=5. Write a direct variation equation that shows the relationship between x and y.
As per the concept of direct variation, y = 80 when x = 5, then the direct variation equation shows the relationship between x and y will be y = 16x
Equation
Basically, the equation is a statement that two expressions, which include variables and/or numbers, are equal. And in essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
Given,
In a direct variation, y=80 when x=5.
Here we have to write a direct variation equation that shows the relationship between x and y.
Here we have given that,
The value of y = 80 when x = 5
Therefore, there are often two different sorts of variables in analytics.
And we have obtained that independent variables will have an impact on dependent variables.
Now, what occurs as a result of the independent variable is referred to as a dependent variable.
Here we have given equation x is the independent variable while y is the dependent variable.
So, it can be written as,
=> 80 = 16(5)
Therefore, the resulting equation is y = 16x
To know more about Equation here.
https://brainly.com/question/10413253
#SPJ1
2B math need help with this problem have a math test tomorrow
Answer:
∴ x = 113
Step-by-step explanation:
5-sided polygon: pentagon
total interior angles of a pentagon
= (5-2) × 180°
= 540°
x + x + x + 14 = 540° - 90° - (180 - 83)°
3x + 14 = 540 - 90 - 97
3x = 353 - 14
3x = 339
∴ x = 113
Can someone please help me on this, I don't understand :)
The values of x and y are 23.3 and 106 as per given diagram.
What is Alternate Interior Angles?
The word "alternate" refers to the transversal's "alternating sides." The "location" of these angles is expressly described by this designation.The alternate interior angles are equal in size when the lines are parallel.The sides of the transversal are "alternated" by alternate interior angles, which are "internal" (between the parallel lines). They are not neighbouring angles, as you can see (next to one another sharing a vertex).The alternate interior angles are equivalent when a transversal cuts two parallel lines.Hence, (3x + 4)° = 74°
3x = 74° - 4°°
x = 70° / 3
x = 23.3
What is Interior Angles on the Same Side of the Transversal?
The name of these angles describes their "location."The measures are supplemental when the lines are parallel.These angles are situated precisely where their names suggests. They are on the same side of the transversal and are "interior" (between the parallel lines).Hence, (3x+4)° + y° = 180°
74° + y° = 180°
y = 106°
Hence, the values of x and y are 23.3 and 106 as per given diagram.
To know more about angles check the below link:
https://brainly.com/question/25770607
#SPJ1
Convert the equation y = 3x - 5 from slope-intercept form to standard form.
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. 7.8
B. 9.8
Step-by-step explanation:
A. 2006 = 3 years
y = 7.1(1.03)ˣ
y = 7.1(1.03)⁽³⁾
y = 7.1(1.092727)
y = 7.7511907
y = 7.8
----------------------------------------------------------------------------------------------------------
B. 2014 = 11 years
y = 7.1(1.03)ˣ
y = 7.1(1.03)⁽¹¹⁾
y = 7.1(1.38423387)
y = 9.82806047
y = 9.8
If it says, "Round to the nearest tenth," the answer is 9.8. If the answer says, "Round to the nearest whole number," the answer is 10
I hope this helps!
Challenge Andy and Emily each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the
wire they need. Andy needs 25 feet of the wire. Emily needs 15 yards of the wire. How much will each of them spend for wire?
Cost of Wire
Length in
Inches (x)
110
125
160
185
Cost in
Dollars (y)
5.50
6.25
8.00
9.25
Andy will spend $15 for her wire. Emily will spend $27.25 for her wire.
1 = 12 ℎ
1 = 3 = 36 ℎ
=5.50/110 (⁄ℎ)
=6.25/125 (⁄ℎ)
=8.00/160 (⁄ℎ)
=9.25/185 (⁄ℎ)
Andy needs 25 feet of the wire
25(12 inches) = 300 inches
300(5.50 / 110) = 15(Dollars)
Andy will spend $15 for her wire.
Emily needs 15 yards of the wire
15(36 ℎ) = 540 ℎs
110a + 125b + 160c + 185d ≥ 540
6(110) = 660
4(110) + 125 = 565
3(110) + 2(125) = 580
110 + 3(125) = 485
2(125) + 2(160) = 570
110(5.50/110) + 3(145)6.25/125 = 27.25
540 (5.50/110) = 27
Emily will spend $27.25 for her wire.
If she can cut the wire, then Emily will spend $27 for her wire.
∴ Andy will spend $15 for her wire. Emily will spend $27.25 for her wire.
To know more about spend check below link:
https://brainly.com/question/1153322
#SPJ1
Factorise the following 2x + 10
Answer:
2(x+5) I believe
Step-by-step explanation:
6 people carry the weight 216kg at a time. How many people are needed to carry the weight of 360kg
The number of people needed to carry the weight of 360 kg is 10 people.
The number of people are needed to carry the weight of 360kg can be calculated as follows ?
The first step is to put the demanded weight and the known weight of the required number of people into a formula which demanded weight is placed on numerator side and the known weight of the required number of people is placed on denominator side.
Formula
= [tex]\frac{360}{216}[/tex]
The next step is to multiply the number that has been entered into the fractional formula by the number of people who are known to be able to carry 216 kg
= [tex]\frac{360}{216}[/tex] × 6
= 10
Hence, the number of people needed to carry the weight of 360 kg is 10 people.
Read more about number here (https://brainly.com/app/ask?q=number)
#SPJ1
You would need 10 people to carry a weight of 360 kg.
To find out how many people are needed to carry a weight of 360 kg, we can set up a proportion based on the information provided.
Let's assume that x represents the number of people needed to carry the weight of 360 kg.
The proportion can be set up as follows:
6 people / 216 kg = x people / 360 kg
We can solve this proportion by cross-multiplying:
216 kg · x people = 6 people · 360 kg
216x = 2,160
Dividing both sides of the equation by 216:
x = 2,160 / 216
x = 10
Therefore, you would need 10 people to carry a weight of 360 kg.
Learn more about proportion click;
https://brainly.com/question/31548894
#SPJ6
Ben and Katy throw darts at a target.
Ben's ratio of hits to misses is
5:1
Katy's ratio of hits to misses is 3:1
Ben says,
"5 is bigger than 3, so I must have more hits than Katy."
Give an example to show that this might not be true
In the given ratio, the statement "5 is bigger than 3, so I must have more hits than Katy." is false. Because this one refer the missing rate.
Ratio:
The relationship between two things when it is expressed in numbers or amounts is known as ratio.
Given,
Ben and Katy throw darts at a target. Ben's ratio of hits to misses is
5:1 Katy's ratio of hits to misses is 3:1
Ben says, "5 is bigger than 3, so I must have more hits than Katy."
Here we need to show that this might not be true.
Here we have the following missing ratios,
Ben's missing ratio = 5 : 1
Katy's missing Ratio = 3 : 1
Here Ben says "5 is bigger than 3, so I must have more hits than Katy."
While we carefully, looking into the given question, we have identified that the given ratios are represents the loosed dart.
So, the given statement is wrong.
To know more about Ratio here,
https://brainly.com/question/13419413
#SPJ1
Bella manages a cafe.She bought 15.625 pounds of oranges . She mutiplies the weigh of the oranges by 0.4 to find the weight of the oranges she will use in fruit salads
The weight of an object is the amount of gravitational force applied on the object by the earth. The weight of the oranges to be used is 6.25 pounds.
The level of influence of the earth's gravitational pull on an object determines its weight. This depends also on the size of the mass of the object.
Given that Bella bought 15.625 pounds of oranges.
Let the weight of the oranges required to prepare fruit salad be represented by W. Then the weight of the oranges required is 0.4 of the weight of oranges bought, so that;
W = 0.4 * 15.625
= 6.25
W = 6.25
Thus, the weight of the oranges required to be used for fruit salad is 6.25 pounds.
Learn more about fraction involving weight of a given object at https://brainly.com/question/3839314
#SPJ1
Paul has to put shingles on a roof. A brand new construction worker takes 12 hours to do it alone. When Paul asks the new worker to help him, they can do the job in 2 hours less than it takes Paul to do it alone. How many hours does it take Paul to do the job alone? Workingtogetherformula1a+1b=1T
The number of hours that it takes for Paul to do the job alone is of:
6 hours.
How to obtain the time it takes for Paul do to the job alone?The time that it takes for Paul to do the job alone is given by the together rate, which is obtained as the sum of the separate rates.
The rates in the context of this problem are given as follows:
Construction worker: 1/12.Paul: 1/x.Together rate: 1/(x - 2) -> 2 hours less than Paul's alone.Hence the value of x is obtained applying the together rate, and it gives the number of hours that it takes for Paul to do the job alone.
Hence:
1/(x - 2) = 1/x + 1/12
1/(x - 2) = (12 + x)/(12x)
Applying cross multiplication, we have that:
(12 + x)(x - 2) = 12x
x² + 10x - 24 = 12x
x² - 2x - 24 = 0
(x + 4)(x - 6).
Applying the Factor Theorem, the solutions are given as follows:
x + 4 = 0 -> x = -4 -> extraneous solution, as the number of hours cannot be negative.x - 6 = 0 -> x = 6 -> actual solution.More can be learned about the together rate at https://brainly.com/question/27859524
#SPJ1
When collecting data, what is a sample?
Thank you for helping.
Answer:
Step-by-step explanation:
Artista , it's the 3rd answer, a random set from the group being studied
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
By evaluating the exponential equation, we will see that the amount owed after 6 years is $8551.56
How to find the amount owed after 6 years?The formula we need to use is the exponential equation:
A = P*(1 + r/n)^(n*t)
Where:
P is the initial amount, here we know that it is $5,300
r is the rate, in this case is 8%, but it needs to be written as a decimal, so we have r = 0.08
t is the variable, this time is the time in years, we want to find the amount owed after 6 years, so t = 6
n is how many the the rate applies on one unit of t, in this case the rate is monthly, and there are 12 months on a year, so n = 12.
Replacing all that in the given formula we will get:
A = $5,300*(1 + 0.08/12)^(12*6) = $8551.56
Learn more about exponential equations:
https://brainly.com/question/11832081
#SPJ1
can you please answer this? its timed so dont take too long!
2g³-5g²+6 is the equivalent expression of (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2
5g⁴+5g³-17g²+6g-3g⁴-6g³+7g²+12/g+2
2g⁴-g³-10g²+6g+12/g+2
Factorize the numerator
(g+2)(2g³-5g²+6)/g+2
g+2 in numerator and denominator will be cancelled.
2g³-5g²+6
Hence, 2g³-5g²+6 is the equivalent expression of (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ1
Maya is playing a trivia game with multiple choice questions. Each question has 222 correct answers among 555 answer choices. Maya has no idea what the answers to a certain question are, so she needs to choose two different answers at random. What is the probability that maya's first guess is correct and her second guess is incorrect?.
Maya is playing a trivia game with multiple choice questions. Each question has 222 correct answers among 555 answer choices. Maya has no idea what the answers to a certain question are, so she needs to choose two different answers at random.
The probability that maya's first guess is correct and her second guess is incorrect is 0.24.
From the question given above, the following data were obtained:
Correct answer (C) = 222
Total answer = 555
Incorrect answer (I) = 555 – 222 = 333
Next, we shall determine the probability that her 1st guess is correct.
Correct answer, nC = 222
Total answer, nS= 555
Probability of correct answer, P(C) =?
P(C) = nC / nS
P(C) = 222 / 555
Next, we shall determine the probability that her 2nd guess is incorrect
Incorrect answer, nI = 333
Total answer, nS = 554
Probability of incorrect answer, P(I) =?
P(I) = nI / nS
P(I) = 333 / 554
Finally, we shall determine the probability that her first guess is correct and her second guess is incorrect.
Probability of correct answer, P(C) = 222 / 555
Probability of incorrect answer, P(I) = 333 / 554
Probability of 1st correct and 2nd incorrect, P(C n I) =?
P(C n I) = P(C) × P(I)
P(C n I) = (222 / 555) × (333 / 554)
P(C n I) = 0.24
Hence the answer is, The probability that maya's first guess is correct and her second guess is incorrect is 0.24.
To learn more about probability click here https://brainly.com/question/24756209
#SPJ4
Answer:
0.3
Step-by-step explanation:
Khan Academy ;)
also confused about this
Graph (B) represents the base function f (x)=√x and the stretched function [tex]g (x) = \frac{-3}{2} \sqrt{x}[/tex].
What is graph?Graphs are used to map functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis, vertical y-axis.
The graph of this function can be obtained by putting different values of x.
x = 0 gives f (x) = 0
x = 1 gives f (x) = 1
x = 2 gives f (x) = 1.414
x = 3 gives f (x) = 1.732
Drawing these points in the graph and connecting we get a curve(black) which can be seen in all given diagram (A), (B), (C), (D).
Now, we have stretched function [tex]g (x) = \frac{-3}{2} \sqrt{x}[/tex]
The graph of this function can be obtained by putting different values of x.
x = 0 gives g (x) = 0
x = 1 gives g (x) = -1.5
x = 2 gives g (x) = -2.121
x = 3 gives g (x) = -2.598
Drawing these points in the graph and connecting we get a curve(red) which can be seen in diagram (D).
By combining these two graphs we get the graph of diagram (D).
Therefore, the base function f (x) and the stretched function g (x) together represents the diagram (D).
To know more about graphs, visit
https://brainly.com/question/4025726
#SPJ13
