Step-by-step explanation:
There are a total of 8 cards, you are picking only one card,
therefore P(5) =
[tex] \frac{1}{8} \times 100 \\ = \frac{100}{8} \\ = 12.5percent[/tex]
State of the given functions are inverses
Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
1)
Let's find f[g(x)] and simplify.
[tex]f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{7}{2}-\frac{3}{4}x[/tex]
As f[g(x)] is not equal to x, these functions are not inverses.
2)
Let's find f[g(x)] and simplify.
[tex]f[g(n)]=\frac{-16+(4n+16)}{4}[/tex]
[tex]f[g(n)]=\frac{-16+4n+16}{4}[/tex]
[tex]f[g(n)]=\frac{4n}{4}[/tex]
[tex]f[g(n)]=n[/tex]
Now, we need to find the other composition function g[f(x)]
Let's find g[f(x)] and simplify.
[tex]g[f(x)]=4(\frac{-16+n}{4})+16[/tex]
[tex]g[f(x)]=-16+n+16[/tex]
[tex]g[f(x)]=n[/tex]
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
Helpppppppp math pls I need help asap
Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept
x y
0 4
2 9
4 14
6 19
8 24
Answer:
See explanations below
Step-by-step explanation:
Using the coordinate points in the table (0, 4) and (2, 9)
Slope m = y2-y1/x2-x1
m = 9-4/2-0
m = 5/2
slope = 5/2
Get the y-intercept
Substitute m = 5/2 and (0,4) into y = mx+c
4 = 5/2(0) + c
4 = 0+c
c = 4
y-intercept is 4
Get the equation
Recall that y = mx+c
y = 5/2x + 4
Using another 2 points (2,9) and (4, 14)
Slope = 14-9/4-2
Slope = 5/2
Since the slope is the same for the coordinates, hence the the equation is correct
The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50.
Is there a question to answer?
ale.
2 Emily saw an anaconda snake at the zoo
that was 24 feet 6 inches long. Which
equation can Emily use to find L, the length
of the snake in inches only?
QL = (24 + 12) + 6
QL = (24 x 10) + 6
L = (24 + 6) + 12
L = (24 * 12) + 6
eset in
5
Answer:
L=(24*12) + 6
Step-by-step explanation:
24 feet by 12 since each foot is 12 inches after that you'll need to add the rest of the inches you've already measured which is why you add 6
triangle: solve for x
Answer:
6 root two
Step-by-step explanation:
geometric mean for leg t.
24*3=x2
x2=72
x=root(72)
6 root two
if my answer helps please mark as brainliest.
1. Find the value of x in the figure below.
74°
2x
Answer:
2x-7
Step-by-step explanation:
I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?
Answer:
[tex]\sqrt{13}[/tex] = 3.605551275......
Step-by-step explanation:
[tex]\sqrt{13}[/tex]
3.6
3 [tex]\sqrt{13}[/tex]
-9
36[tex]\sqrt{4}[/tex]00
do you need to know more... ??
9514 1404 393
Answer:
√13 ≈ 3.60555127546
"by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38
Step-by-step explanation:
Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.
Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.
__
Method 1 -- Linear approximation
You can approximate it by hand in the following way.
√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...
3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6
This is a linear interpolation between √9 and √16.
_____
Method 2 -- Babylonian method
The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.
x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175
x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places
One more iteration will double the number of correct decimal digits.
x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915
(correct digits are highlighted)
_____
Method 3 -- "long division"
There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.
_____
Method 4 -- continued fraction
Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:
3 +x = √13 . . . . . . where x is the fractional part of the root
(3 +x)² = 13 . . . . . . square both sides
x² +6x +9 = 13 . . . expand the square
x(x +6) = 4 . . . . . . . subtract 9 and factor
x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)
At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...
p/q = 4/(6 +p/q) = 4q/(6q +p)
That is, successive approximations of x can be had by the transformation ...
(p, q) ⇒ (4q, 6q+p)
Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...
(p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)
At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.
__
* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.
A survey found that 20% of the people in Fiji drive the car without seatbelt. If 3 people are randomly selected, find the probability that at least 2 drive without seat.
Answer:
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they drive without a seatbelt, or they do not. The probability of a person driving without a seatbelt is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of the people in Fiji drive the car without seatbelt.
This means that [tex]p = 0.2[/tex]
3 people are randomly selected
This means that [tex]n = 3[/tex]
Find the probability that at least 2 drive without a seatbelt?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]
[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.096 + 0.008 = 0.104[/tex]
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons. If the pattern continues, the next group of dots would have 61 dots. Which of
the following statements best describes the sequence that represents the number
of dots in each group?
A The sequence is arithmetic, because the first differences are constant.
B) The sequence is arithmetic, because the second differences are constant.
c) The sequence is quadratic, because the first differences are constant.
The sequence is quadratic, because the second differences are constant.
Answer:
a
hddhdhdhhdgdhdgdhf
yyeyeyehrggggdgfhfhhfbfbdbfbdfbbfhhbfbdvwshhdgnhh
The sequence is arithmetic because the second differences are constant. Then the correct option is B.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons.
If the pattern continues, the next group of dots would have 61 dots.
The first difference will be
The difference between 7 and 1 is 6.
The difference between 19 and 7 is 12.
The difference between 37 and 19 is 18.
The difference between 61 and 37 is 24.
The second difference will be
The difference between 12 and 6 is 6.
The difference between 18 and 12 is 6.
The difference between 24 and 18 is 6.
Thus, the sequence is arithmetic, because the second differences are constant. Then the correct option is B.
More about the sequence link is given below.
https://brainly.com/question/21961097
PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!
Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.
9514 1404 393
Answer:
x^2 +(y -61)^2 = 625/36
Step-by-step explanation:
The graph of the above equation is attached.
If the circumference of the wheel is 25π/3 feet, the diameter is ...
d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet
The radius will be half that value, or 25/6 feet.
For a center point (h, k) and radius r, the equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.
This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...
x^2 +(y -61)^2 = 625/36
A student purchased 9 binders for $11.07.
Solve the equation to determine the cost, in dollars, for each binder.
$
Answer:
$1.23
Step-by-step explanation:
9 binders for 11.07, where x = num of binders
9x = 11.07 [Divide both sides by 9]
x = $1.23
Answer:
each binder costs $1.23
Step-by-step explanation:
$11.07 divided by 9 equals $1.23
a group of students collected old newspapers for a recycling project. the data shows the mass, in kilograms, of old newspapers collected by each student.
23, 35, 87, 64, 101, 90, 45, 76, 105, 60, 55
98, 122, 49, 15, 57, 75, 120, 56, 88, 45, 100.
A.) Find the range of the mass of the newspapers collected.
B.) Find the interquartile range.
Answer:
A. 107 kg
B. 49 kg
Step-by-step explanation:
I need help with slopes!!
Answer:
The slope of this line is -4
1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)
Answer:
170
Step-by-step explanation:
How the sales tax de-calculator works
Step 1: take the total price and divide it by one plus the tax rate.
Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
Step 3: subtract the dollars of tax from step 2 from the total price.
Pre-Tax Price = TP – [(TP / (1 + r) x r]
TP = Total Price.
4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6
2. Which of the following is considered an
asset?
A Savings account
B Credit card debt
C Personal loan
D Mortgage
Answer:
A
Step-by-step explanation:
All of the rest you have to pay off. A savings account is a good place to keep money safe for the future, and you can also make interest.
What fraction of 2 minutes is 6
seconds?
Answer:
1/20 of 2 minutes = 6 seconds
Answer:
1/20; 0.05; 5%
Step-by-step explanation:
Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%
Evaluate the expression \dfrac{4^x}{2^x}
2
x
4
x
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
Answer:
4
Step-by-step explanation:
(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4ˣ/2ˣ.
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
In the given expression x is the variable and division is the operator.
Which means Four to the power of x and divided by two to the power of x.
4ˣ/2ˣ.
The numerator 4ˣ can be written as (2)²ˣ
(2)²ˣ/2ˣ
Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Find the average number of people in these cities: New York, Philadelphia, Chicago and Detroit a. 3.35 million b. 40 million. C. 4.0 million d. 33.million
Answer:
The answer is maybe going to be D which is 33 million
Step-by-step explanation:
New york is a big city
please help
Find the missing side of this right
triangle.
21
х
15
X =
= V[?]
Answer:
216
Step-by-step explanation:
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Answer:
the answer is 7 feet
Step-by-step explanation:
28/4=7
HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!
Answer:
Reason 2)The transitive property of congruenceStep-by-step explanation:
There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.
A = A . . . . reflexive property
A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)
A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)
__
Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.
The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.
Given that these triangles are similar, what is the perimeter of triangle PQR? Show your work.
If someone could answer fr this time that would be great.
Answer:
24
Step-by-step explanation:
I use the Pythagoras theorem.
[tex]\sqrt{a^{2} +b^{2} } =c^{2}[/tex]
[tex]4^{2}{x}6^{2} = c^{2}[/tex]
16 x 36= 576
[tex]\sqrt{576} = 24[/tex]
Find the simple interest on the following amounts:
a K4000 invested at 6% p.a. for 4 years
b K23 000 invested at 6.5% p.a. for 8 years
K580 borrowed at 5% p.a. for 9 months
inte
с
500
Answer:
a. Simple interest = K960
b. Simple interest = K11,960
c. Simple interest = K261
Step-by-step explanation:
Given the following data;
a. Principal = K4000
Interest rate = 6%
Time = 4 years
To find the simple interest;
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest.
P is the principal.
R is the interest rate.
T is the time.
Substituting into the equation, we have;
[tex] S.I = \frac {4000*6*4}{100} [/tex]
[tex] S.I = \frac {4000*6*4}{100} [/tex]
[tex] S.I = \frac {96000}{100} [/tex]
S.I = K960
b. Principal = K23 000
Interest rate = 6.5%
Time = 8 years
To find the simple interest;
[tex] S.I = \frac {PRT}{100} [/tex]
Substituting into the formula, we have;
[tex] S.I = \frac {23000*6.5*8}{100} [/tex]
[tex] S.I = \frac {1196000}{100} [/tex]
S.I = K11,960
c. Principal = K580
Interest rate = 5%
Time = 9 months
To find the simple interest;
[tex] S.I = \frac {580*5*9}{100} [/tex]
[tex] S.I = \frac {26100}{100} [/tex]
S.I = K261
NO SCAM LINKS.
please reply ASAP PLEASEEEE
Answer:
B
Step-by-step explanation:
What is the word form of the number 43.06? A forty-three and six B forty-three and six tenths c forty-three and six hundredths D forty-three and six thousandths
it is C forty-three and six hundredths.
Complete the sentence.
9 is 36% of
Answer:
35
Step-by-step explanation:
[tex]\frac{9}{y} =\frac{36}{100}[/tex]
y × 36 = 9 × 100
36y = 900
36y ÷ 36 = 900 ÷ 36
y = 35
Answer:
25
Step-by-step explanation:
36% 9
-------------- (36% over 100% and 9 over x)
100% x
Cross multiply: 36% times x and 100% times 9
36% times x=36x
100% times 9=900
Divide: 900 divided by 36=25
25 is your answer
Hope this helped!
Bella was here :)
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answer:
angle b= 86 degrees
Step-by-step explanation:
hope this helps, have a nice day :)
Find g(-6) when g(x)
= x+3/x-1
Answer: The answer would be 3/7.
Step-by-step explanation:
