Answer:
6.5
Step-by-step explanation:
13/10÷2/10= 13/10*10/2
cancel out the 10 and that leaves you with 13/1*1/2=13/2
simplify 13/2 and that leaves you with 6.5
Answer:
[tex]6\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{13}{10}[/tex] · [tex]\frac{10}{2}[/tex] (Cross out the tens) = [tex]\frac{13}{2}[/tex]
2/13 = 6 R.1 [tex]6\frac{1}{2}[/tex]
f(n)=n-2
g(n)=4n-1
f{g(n)}=?
9514 1404 393
Answer:
f(g(n)) = 4n-3
Step-by-step explanation:
f(g(n)) = f(4n -1) = (4n -1) -2
f(g(n)) = 4n -3
At the store brand a potato chips or $11.90 for four bags
Answer:
what is the question?
Step-by-step explanation:
i need the question to answer
Please help with this question ASAP
Answer:
B. 28/15
Step-by-step explanation:
7/3 x 4/5 = 28/15
Suppose X has an exponential distribution with mean equal to 11. Determine the following: (a) (Round your answer to 3 decimal places.) (b) (Round your answer to 3 decimal places.) (c) (Round your answer to 3 decimal places.) (d) Find the value of x such that . (Round your answer to 2 decimal places.)
Answer:
[tex]P(X > 11) = 0.368[/tex]
[tex]P(X > 22) = 0.135[/tex]
[tex]P(X > 33) = 0.050[/tex]
[tex]x = 33[/tex]
Step-by-step explanation:
Given
[tex]E(x) = 11[/tex] --- Mean
Required (Missing from the question)
[tex](a)\ P(X>11)[/tex]
[tex](b)\ P(X>22)[/tex]
[tex](c)\ P(X>33)[/tex]
(d) x such that [tex]P(X <x)=0.95[/tex]
In an exponential distribution:
[tex]f(x) = \lambda e^{-\lambda x}, x \ge 0[/tex] --- the pdf
[tex]F(x) = 1 - e^{-\lambda x}, x \ge 0[/tex] --- the cdf
[tex]P(X > x) = 1 - F(x)[/tex]
In the above equations:
[tex]\lambda = \frac{1}{E(x)}[/tex]
Substitute 11 for E(x)
[tex]\lambda = \frac{1}{11}[/tex]
Now, we solve (a) to (d) as follows:
Solving (a): P(X>11)
[tex]P(X > 11) = 1 - F(11)[/tex]
Substitute 11 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]
[tex]P(X > 11) = 1 - (1 - e^{-\frac{1}{11}* 11})[/tex]
[tex]P(X > 11) = 1 - (1 - e^{-\frac{11}{11}})[/tex]
[tex]P(X > 11) = 1 - (1 - e^{-1})[/tex]
Remove bracket
[tex]P(X > 11) = 1 - 1 + e^{-1}[/tex]
[tex]P(X > 11) = e^{-1}[/tex]
[tex]P(X > 11) = 0.368[/tex]
Solving (b): P(X>22)
[tex]P(X > 22) = 1 - F(22)[/tex]
Substitute 22 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]
[tex]P(X > 22) = 1 - (1 - e^{-\frac{1}{11}* 22})[/tex]
[tex]P(X > 22) = 1 - (1 - e^{-\frac{22}{11}})[/tex]
[tex]P(X > 22) = 1 - (1 - e^{-2})[/tex]
Remove bracket
[tex]P(X > 22) = 1 - 1 + e^{-2}[/tex]
[tex]P(X > 22) = e^{-2}[/tex]
[tex]P(X > 22) = 0.135[/tex]
Solving (c): P(X>33)
[tex]P(X > 33) = 1 - F(33)[/tex]
Substitute 33 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]
[tex]P(X > 33) = 1 - (1 - e^{-\frac{1}{11}* 33})[/tex]
[tex]P(X > 33) = 1 - (1 - e^{-\frac{33}{11}})[/tex]
[tex]P(X > 33) = 1 - (1 - e^{-3})[/tex]
Remove bracket
[tex]P(X > 33) = 1 - 1 + e^{-3}[/tex]
[tex]P(X > 33) = e^{-3}[/tex]
[tex]P(X > 33) = 0.050[/tex]
Solving (d): x when [tex]P(X <x)=0.95[/tex]
Here, we make use of:
[tex]P(X<x) = F(x)[/tex]
Substitute [tex]F(x) = 1 - e^{-\lambda x}[/tex]
[tex]P(X<x) = 1 - e^{-\lambda x}[/tex]
So, we have:
[tex]0.95 = 1 - e^{-\lambda x}[/tex]
Subtract 1 from both sides
[tex]0.95 -1= 1-1 - e^{-\lambda x}[/tex]
[tex]-0.05=- e^{-\lambda x}[/tex]
Reorder the equation
[tex]e^{-\lambda x} = 0.05[/tex]
Substitute 1/11 for [tex]\lambda[/tex]
[tex]e^{-\frac{1}{11} x} = 0.05[/tex]
Solve for x:
[tex]x = -\frac{1}{1/11}\ ln(0.05)[/tex]
[tex]x = -11\ ln(0.05)[/tex]
[tex]x = 32.9530550091[/tex]
[tex]x = 33[/tex] --- approximated
Brady has a card collection with 32 baseball cards, 64 football cards, and 24 baseball cards. He wants to arrange the cards in equal piles, with only one type of card in each pile.
Rafael plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:What is m?
Step-by-step explanation:
The first step when multiplying fractions is to find the reciprocal of the second fraction.
O True
O False
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The statement is False.
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The given statement is FALSE.
Because, First step in multiplying fractions is multiply the numerator from each fraction. That is, multiply the top number first.
Learn more about multiplying fractions at:
https://brainly.com/question/33169891
#SPJ2
A triangle is dilated by scale factor of 1/5 in a rotated night degrees clockwise about the origin why is the image similar to the pre image
9514 1404 393
Answer:
conditions for similarity are not violated by the transformation
Step-by-step explanation:
Dilation changes linear measures proportionally, and has no effect on angles. Rotation changes neither lengths nor angles. Hence the dilated, rotated triangle has the same angles as the original, and has proportional side lengths. Those are the requirements for figures to be similar, so the triangles are similar.
Answer:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Two functions are defined by these equations: f(x) = 5.1 + 0.8x g(x) = 3.4 + 1.2x Which function has a greater value when x is 3.9? How much greater?
Step-by-step explanation:
Two functions are defined by these equations:
f(x) = 5.1 + 0.8x
g(x) = 3.4 + 1.2x
Put x = 3.9 in both f(x) and g(x).
f(x) = 5.1 + 0.8(3.9)
= 8.22
g(x) = 3.4 + 1.2(3.9)
= 8.08
So, f(x) is greater than g(x).
f(x)-g(x) = 8.22 - 8.08
= 0.14
So, f(x) is 0.14 units more than g(x).
what is the value of z in the equation 4 x 2- z=7?
Answer:
Z = 1
Step-by-step explanation:
Simplify the equation using PEMDAS.
4 x 2 - z = 7
8 - x = 7
- x = 7 - 8
-x = - 1
x = 1
360,000 = X% of 4000000
Answer:
09
Step-by-step explanation:
Which expression is equivalent to -2 (x +7) - 6x
A. -8x + 14
B. 4x + 14
C. 8x - 7
D. -8x - 7
Write an explicit formula for the An, and the n^th term of the sequence 24,-12,6,....
Answer:
[tex]T_n = -48* (-\frac{1}{2})^{n}[/tex]
Step-by-step explanation:
Given
[tex]24, -12, 6,...[/tex]
Required
Write a formula
The above sequence shows a geometric sequence because:
[tex]r = \frac{-12}{24} = \frac{6}{-12} = -\frac{1}{2}[/tex] -- common ratio
The equation is determined using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = 24[/tex]
Substitute values for a and r
[tex]T_n = 24* (-\frac{1}{2})^{n-1}[/tex]
Apply law of indices:
[tex]T_n = 24* (-\frac{1}{2})^{n} * (-\frac{1}{2})^{-1}[/tex]
[tex]T_n = 24* (-\frac{1}{2})^{n} * 1/(-\frac{1}{2})[/tex]
[tex]T_n = 24* (-\frac{1}{2})^{n} * 1*-2[/tex]
[tex]T_n = 1*-2*24* (-\frac{1}{2})^{n}[/tex]
[tex]T_n = -48* (-\frac{1}{2})^{n}[/tex]
The above represents the explicit formula
Without graphing, describe the end behavior of the graph of the function.
f(x) = 1 - 2x2-x
Answer:
A
Step-by-step explanation:
When doing function behaviors it would be really helpful if you memorized the picture i've attached below
We can see that we have a negative leading coefficent and an odd degree which means that as x approaches -∞ it's positive and as x approaches ∞ it's negative
This means that the answer is A
For each sequence, state if it is arithmetic, geometric, or neither.
0, 3, 8, 15, 24
Answer:
Step-by-step explanation:
0, 3, 8, 15, 24, . . .
it is arithmetic
Write the ratios for sin X, cos X, and tan X. Use the / for a fraction.
Answer:
Step-by-step explanation:
From the right triangle attached in the picture,
sine ratio for the angle X,
[tex]\text{sinX}=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]=\frac{YZ}{XZ}[/tex]
[tex]=\frac{21}{29}[/tex]
cosine ratio for the angle X,
[tex]\text{cosX}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]=\frac{XY}{XZ}[/tex]
[tex]=\frac{20}{29}[/tex]
tang ratio for the angle X,
[tex]\text{tanX}=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]=\frac{21}{20}[/tex]
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 58 14
Female 98 11
Since P(male)xP(fail) = ___and P(male and fail)= ,___ the two results are_______ - so the events are________
Answer:
Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Probability of male:
58 + 14 = 72 males out of 58 + 14 + 98 + 11 = 181
So
P(male) = 72/181 = 0.3978
Probability of failling:
14 + 11 = 25 students fail out of 181. So
P(fail) = 28/181 = 0.1381
Multiplitication of male and failling:
0.3978*0.1381 = 0.0549
Probability of being male and failing:
14 out of 181. So
14/181 = 0.0773
Different probabilities, so not independent.
Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.
Jane bought a new car for $30,000. A function that models the value of Jane’s car after t years is v(t)= 5(30,000) (0.85)t . In how many years will the car be worth less than half of what Jane paid for it?
a 2
b 3
c 4
d 5
Answer:
c
Step-by-step explanation:
Answer: C.) 4
-plug 4 in for t
-solve the equation
please help meeeeeeeeeeeeeeeeeeee
Answer:
It took more than 3 hours
Step-by-step explanation:
Because 4/4 is 3 hours if it is higher then that is is more than 3 hours.
The equation p = 100 – 5t represents the percent p of battery power remaining in a tablet after t hours.
Answer:
t=-p/5+20
Step-by-step explanation:
p=100−5t
Swap sides so that all variable terms are on the left hand side.
100−5t=p
Subtract 100 from both sides.
−5t=p−100
Divide both sides by −5.
−5t/5 = p - 100/-5
Dividing by −5 undoes the multiplication by −5.
t = p - 100/-5
Divide p−100 by −5.
t=-p/5+20
A server at a restaurant works 5 hours on a weekday and 8 hours on a weekend day. Use the expression to find the number of hours the server works on 4 weekdays and 2 weekend days.
Answer:
20 weekday hours and 16 weekend hours
Step-by-step explanation:
all u do is take 5 hours and multiple them by 4 weekdays so it gives u 20 hours and then u multiple 8 hours by 2 which is 16 hours
What is the area of a circle with a diameter of 34 mi? Use 3.14 for n
O 213.52 mi2
0907.46 mi2
O 106.76 mi2
0 3629.84 mi2
Answer:
907.46
Step-by-step explanation:
diameter = 34
radius = 17 (half of diameter)
A=πr^2
HOPE THIS HELPS PLZ MARK BRAINLIEST! :)
cual es el interes que produce un capital de 230,000 en 12 años a una tasa de interés compuesta anual del 5.5%
Answer:
$121,052.63
Step-by-step explanation:
Tomando en cuenta la fórmula " (1+i)^(n) ". Sustituyes los valores quedando así
(1 + 0.055)^12 y te da como resultado 1.90
Por último divides $230,000 entre 1.90 y ahí tienes el resultado final.
Mark is thinking of a square number whose digits add up to seven.
Write down two numbers he could be thinking of
Answer:
16 and 25
Step-by-step explanation:
list perfect square numbers from 1 to 10
1, 4,9,16,25,36,49,64,81,100
looking at the list, 2 numbers he could be thinking of are 16 and 25
Which expression is equivalent to (2x + 6) - (3x + 4)
A. -1x + (10)
B. 5x + (10)
C. -1x + (2)
D.5x + (-2)
Answer:
C. -1x + (2)
Step-by-step explanation:
(2x + 6) - (3x + 4)
= 2x + 6 -3x - 4
= 2x - 3x + 6 - 4
= -1x +2
Answer:
C
Step-by-step explanation:
Expand the brackets = 2x + 6 - 3x - 4
Take 3x from 2x to get -1x
The equation is now -1x + 6 - 4
Take 4 from 6 to get 2
The equation is now -1x + 2, which is equal to option C
of the last 14 contestants on a game show, 7 qualified for the bonus round. Considering this data,
how many of the next 12 contestants would you expect to qualify for the bonus round?
contestants
Pls help me out plss
Answer:
1.5 white and 2 blue is an equivalent ratio
Step-by-step explanation:
A company that advertises on websites uses the formula below to estimate the number of people who will click on one of its advertisements, where c is the number of clicks on that advertisement, t is the length of time the advertisement is displayed (in days), and d is the distance from the top of the website to the advertisement (in inches).
c = 152t - 44d
How many clicks would the company estimate to receive from its advertisement that is displayed 7 inches from the top of the website for 18 days? A. 272 B. 2,692 C. 2,428 D. 2,729
Answer:
C. 2428
Step-by-step explanation:
c=152t-44d
Its given that,
t=18, d=7
substituting
c=152(18)-44(7)=2428
Please rate brainliest
Please help I have been stuck this for a while
Answer:
Option (D)
Step-by-step explanation:
Given expression is,
x³ × 3 ÷ [tex]\frac{2}{9}[/tex] + 9x - (7 - 6x)
By substituting x = [tex]\frac{2}{3}[/tex],
[tex](\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-6(\frac{2}{3})][/tex]
By using rule PEMDAS,
P - Parenthesis
E - Exponent
M - Multiplication
D - Division
A - Addition
S - Subtraction
[tex]=(\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-4][/tex]
= [tex](\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-3[/tex]
= [tex]\frac{8}{27}\times 3 \div \frac{2}{9}+6-3[/tex]
= [tex]\frac{8}{9}\div \frac{2}{9}+6-3[/tex]
= [tex]\frac{8}{9}\times \frac{9}{2}+6-3[/tex]
= 4 + 6 - 3
= 7
Option (D) is the answer.
Write and solve a proportion to answer the question. 30% of what number is 9?
Answer:
The answer would be 30.
Step-by-step explanation:
Calculating 9×100÷30 equals 30 and that would be your answer.
Answer:
30
Step-by-step explanation:
30% * x = 9
x = 9/30%
x = 9/0.3
x = 30.
So, 30 is the number