Answer:
See below
Step-by-step explanation:
If we increase the sample size, we will decrease the margin of error, creating a smaller interval. This is why option C is the most appropriate answer!
g (x) = x 3 - 3
what is the value of x when g (x) = 24? enter in the box
Answer:
69.
im not kidding, haha, good luck!
1) 27/36 + 64/72 - 34/20 =
2) 77/66 + 33/22 + 44/55 =
3) 63/81 - 34/16 + 27 / 36 =
4) 60/15 + 26/14 - 18/20 =
5) 70/60 + 35/70 - 6/8 =
6) 2 + 3 + 4 + 3 1/8 =
Answer:
1) -11/180
2) 52/15
3) -43/72
4) 347/70
5) 11/12
6) 75/8
Step-by-step explanation:
1) -11/180
2) 52/15
3) -43/72
4) 347/70
5) 11/12
6) 75/8
Explanation: You can simplify the numbers to smaller numbers and make the denominator the same, or else just use a calculator.
a boy owns 8 pairs of pants, 5 shirts, 3 ties and 6 jackets. how many different outfits can he wear to school if he must wear one of each item?
The boy can wear 720 different outfits to school if he must wear one of each item, we need to find the number of combinations of one pair of pants, one shirt, one tie, and one jacket. The number of different combinations of pants he can wear is 8.
The number of different combinations of shirts he can wear is 5.
The number of different combinations of ties he can wear is 3.
The number of different combinations of jackets he can wear is 6.
To find the total number of different outfits, we multiply the number of combinations of each item:
8 * 5 * 3 * 6 = 8 * 90 = 720
To know more about Combinations
https://brainly.com/question/28065038
#SPJ4
Solve each system by elimination -6x+4y=-28 and 6x+7y=11
Answer:
[tex]x=\dfrac{40}{11}, \quad y=-\dfrac{17}{11}[/tex]
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}-6x+4y=-28\\6x+7y=11\end{cases}[/tex]
To solve by the method of elimination, add the equations together to eliminate the terms in x.
[tex]\begin{array}{crcccl}&-6x & + & 4y & = & -28\\+&(6x & +&7y&=&\;\;\:11)\\\cline{2-6}\vphantom{\dfrac12}&&&11y&=&-17\\\cline{2-6}\end{array}[/tex]
Solve the equation for y:
[tex]\implies y=-\dfrac{17}{11}[/tex]
Substitute the found value of y into one of the equations and solve for x:
[tex]\implies 6x+7\left(-\dfrac{17}{11}\right)=11[/tex]
[tex]\implies 6x-\dfrac{119}{11}=11[/tex]
[tex]\implies 6x=\dfrac{240}{11}[/tex]
[tex]\implies x=\dfrac{240}{11\cdot 6}[/tex]
[tex]\implies x=\dfrac{40 \cdot \diagup\!\!\!\!\!6}{11\cdot \diagup\!\!\!\!\!6}[/tex]
[tex]\implies x=\dfrac{40}{11}[/tex]
Therefore, the solution is:
[tex]x=\dfrac{40}{11}, \quad y=-\dfrac{17}{11}[/tex]
WILL GIVE BRAIN DUE 15 MIN HELP ASAP
6 lb 3 oz − 2 lb 7 oz
2. Find the value(s) of t that make V(t) = 4 true.
Explain what the value(s) tell us about the volume of
water in the cooler.
Step 1: Solve the equation V(t) = 4 for t. To solve the equation V(t) = 4 for t, divide both sides of the equation by 11, which gives us t = 4/11.
Step 2: Interpret the result. The value of t = 4/11 tells us that when the temperature of the water in the cooler is 4/11, the volume of the water is 4.
Therefore, the value of t = 4/11 tells us that when the temperature of the water in the cooler is 4/11, the volume of the water is 4.
Since there are more molecules in larger volumes than smaller ones, the pace of cooling will be slower if the water's volume is increased. Losing the heat energy from all the molecules will therefore take longer.
The question is incomplete and requires further explanation. For the mentioned part, the information is not significant to determine volume of water in the cooler.
For more questions like Volume of water visit the link below:
https://brainly.com/question/13389699
#SPJ4
Using Pythagorean Theorem
calculate the diagonal
distance from point
(-2,12) to (2,2)
Answer:
10.8 units or [tex]2\sqrt{29}[/tex] units
Step-by-step explanation:
The line drawn connecting two points on a graph is known as a line segment.
The formula used to calculate the length of a line segment is derived from the Pythagorean Theorem
Length of a line segment: [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2}}[/tex]
= [tex]\sqrt{[2-(-2)]^{2} + (2-12)^{2} }[/tex]
= [tex]\sqrt{(2+2)^{2} +(-10)^{2} }[/tex]
= [tex]\sqrt{4^{2} + 100}[/tex]
= [tex]\sqrt{16 +100}[/tex]
= [tex]\sqrt{116}[/tex]
= [tex]\sqrt{4}[/tex]×[tex]\sqrt{29}[/tex]
= [tex]2\sqrt{29}[/tex] units
Diagonal distance = 10.8 units (Rounded to 3 significant figures)
17. Possible dimensions for a triangle are given below.
I. 5cm, 5cm, 5cm
II. 11cm, 5cm, 7cm
III. 5cm, 2cm, 3cm
IV. 6cm, 8cm, 10cm
Which set can create a triangle?
(A) I only
B. I and II only
C. II and IV only
D. I, II, and IV
2016=d12 a a a a a a a a a a a a a a a aa
The value of 'd' in the expression 2-16 = 12d is 168.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 2016 = 12d.
Now, To solve for 'd' we have to move the coefficient of 'd' to the other side also it will sit on the denominator now.
Therefore, 2016 = 12d.
2016/12= d.
d = 168.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
Which equation is graphed here?
A. y+5=-3/2(x-4)
B. y-5=-2/3(x+4)
C. y-5=-3/2(x+4)
D. y-4=-3/2(x+5)
The equation of the graphed line is expressed as: A. y + 5 = -3/2(x - 4).
How to Write the Equation of a Line?The equation that represents a line can be written in point-slope form as y - b = m(x - a), where a point on the line is (a, b) and the slope is m.
Slope (m) = rise/run = -3/2
Substitute a point on the line (a, b) = (4, -5) and m = -3/2 into y - b = m(x - a):
y + 5 = -3/2(x - 4)
The equation is: A. y + 5 = -3/2(x - 4).
Learn more about the equation of a line on:
https://brainly.com/question/13763238
#SPJ1
Q4 The following square is made up of
rectangles and a compound shape.
Write a simplified expression for each
area making up the square.
6x +1
x+1
x + 2
2x + 2
3x + 1
B
D
3x + 1
A
E
4x + 1
C
x+2
Step-by-step explanation:
The given figure consists of some rectangles and square making up a bigger square.
As we know that,
area of rectangle= length*breadth, so
Area of rectangle A :-
A = lb
A = (6x+1)(x+2)
A = 6x(x+2)+1(x+2)
A = 6x² + 12x + x + 2
A = 6x² + 13x + 2
Area of rectangle B :-
A = (2x+2)(3x+1)
A = 2x(3x+1)+2(3x+1)
A = 6x² + 2x + 6x + 2
A = 6x² + 8x + 2
Area of rectangle C :-
A = (x+1)(x+2+2x+2)
A = (x+1)(3x+4)
A = 3x² + 4x + 3x + 4
A = 3x² + 7x + 4
Area of rectangle D :-
A = (3x+1)(3x+1)
A = 9x² + 3x + 3x + 1
A = 9x² + 6x + 1
Area of rectangle E :-
A = (6x+1-3x-1 )(2x+2+3x+1)
A = 3x(5x+3)
A = 15x² + 9x
Hence these are the simplified expressions making up the area of the whole square .
And we are done!
factor completely: (x^4)+(2x^3)-2x-1
The factored form of the polynomial is x³( x + 2 ) - 1 ( 2x + 1 ).
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Given that the polynomial is (x⁴)+(2x³)-2x-1. The expression will be factorized as below:-
E = (x⁴)+(2x³)-2x-1.
E = x² ( x² + 2 ) -1 ( 2x + 1 )
Hence, the factorized form of the polynomial is x² ( x² + 2 ) -1 ( 2x + 1 ).
To know more about polynomials follow
https://brainly.com/question/26147255
#SPJ1
9.5% of Undergraduate students study abroad. 60% of those who study abroad are female. 49 % of those who do not study abroad are female. calculate probability of a female student studying abroad .
The probability of a female student studying abroad is 9.5%. 60% of those who study abroad are female, while 49% of those who do not study abroad are female.
P(Female studying abroad) = P(Female and Studying Abroad) / P(Female)
P(Female and Studying Abroad) = 0.095 × 0.60 = 0.057
P(Female) = 0.095 × 0.60 + 0.905 × 0.49 = 0.902
P(Female studying abroad) = 0.057 / 0.902 = 0.063
Therefore, the probability of a female student studying abroad is 0.063.
The probability of a female student studying abroad is 9.5%. This means that out of all the undergraduate students, 9.5% of them are female and are studying abroad. It is also important to note that out of those who study abroad, 60% are female, while 49% of those who do not study abroad are female. This means that more female students are likely to study abroad than male students, as the percentage of female students studying abroad is higher than the percentage of male students studying abroad. It is also important to note that the overall percentage of female students studying abroad is lower than the overall percentage of male students studying abroad, as the number of female students who study abroad is lower than the number of male students who study abroad. Therefore, the probability of a female student studying abroad is 9.5%.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
The present ratio of ages of P & Q is 4 : 6. If
the sum of present ages of P & Q is 50 years,
then the sum of ages of P & Q before 4 years is
The sum of ages of P & Q before 4 years is 42 years.
Let present age of P is 4x years and the present age of Q is 6x years.
According to the problem, the sum of the present ages of P and Q is 50 years, so we have:
4x + 6x = 50
10x = 50
then, x = 5
So the present age of P is 4 * 5 = 20 years and the present age of Q is 6 * 5 = 30 years.
To find the sum of their ages before 4 years, we subtract 4 from each of their present ages:
20 - 4 = 16 years (for P)
30 - 4 = 26 years (for Q)
hence, sum of their ages before 4 years is 16 + 26 = 42 years.
Learn more about ratio:
https://brainly.in/question/14982256
Pls help me solve this
Answer:
a) The measure of the angle created by the car's turning would be 75°. This is because 4th Street is parallel to 3rd Street, thus the angle formed when the car turns onto King Avenue heading northeast would be a 90° angle, which is the same as the angle between 4th Street and 3rd Street.
b) The measure of the angle created by the car's turning would be 180°. This is because when the car is traveling southwest on King Avenue and turns left onto 3rd Street, it is essentially making a full turn to face the opposite direction.
c) The measure of the angle created by the car's turning would be 90°. This is because when the car is traveling northeast on King Avenue and turns right onto 3rd Street, it is essentially making a right angle turn as it transitions from one street to the other.
write each answer as a fraction
he value of the expression cosB, sinB, sinA, tanB, tan A 4√15/17, 7/17, 4√15/17, 7/4√15 and 4√15/7
Trigonometry identity for a right triangleAccording to the trigonometry identity
tan Ф = opposite/adjacent
sin Ф = opposite/hypotenuse
cos Ф = adjacent/hypotenuse
From the given triangle;
AC = 7
AB = 17
BC = 4√15
Determine the following trigonometry given
cos B = BC/AB
cos B = 4√15/17
sinB = AC/AB
sin B = 7/17
sinA = cos B = 4√15/17
tan B = AC/BC
tan B = 7/4√15
tan A = BC/AC
tan A = 4√15/7
The value of the expression cosB, sinB, sinA, tanB, tan A 4√15/17, 7/17, 4√15/17, 7/4√15 and 4√15/7
Learn more on trigonometry identity here: https://brainly.com/question/20094605
#SPJ1
What fraction of 6 naira is 6 Kobo
The part 6 kobo as required in the task content represents 1% of the whole, 6 naira.
What percentage of 6 naira is 6 kobo?It follows from the task content that the percentage of 6 naira which 6 kobo represents is to be determined.
On this note, it follows from currency conversion that 1 naira is equivalent to 100 kobo.
Hence , 6 naira = 600 kobo
The percent as required to be determined can be evaluated as follows;
6 / 600 = percent / 100.
Percent = 1%.
Ultimately, the fraction of 6 naira which 6 kobo represents is; 1%.
Read more on percentages;
https://brainly.com/question/19247356
#SPJ1
max works as a groundskeeper at a racetrack, where he is part of a bigger crew. when x people are working on the crew, it takes them f(x) hours to get the track ready for a day of racing. what does f(8)
The function f(8)=4 defines that it will take x/2 hrs to complete the work and "x being No of workers".
The given data is as follows:
There are x people working in the crew at the racetrack, it takes f(x) hrs to get the track ready.
Let us assume that there is x worker at the racetrack,
f(x) is the function that is going to define the working hours required to get the track ready,
The function will depend on workers as it is mentioned as "f(x)".
Now,
function f(x)=?
But given that f(8)=4
It means when x=8 that means when are there 8 workers working at the racetrack and it took 4 hours to complete the work.
Now,
we have written a function that gives the relation between a given worker as 8 and time as 4 hrs.
so 8 workers complete work in 4 hrs,
then x worker will complete in y hrs i.e.f(x).
=4x=8*f(x)
=4x/8
=x/2.
Hence the function will be f(x)=x/2
To learn more about functions problems,
https://brainly.com/question/12108704
#SPJ4
The complete question is -
max works as a groundskeeper at a racetrack, where he is part of a bigger crew. when x people are working on the crew, it takes them f(x) hours to get the track ready for a day of racing. what does f(8)=4 tells us?
Triniti had $500 in a savings account at the
beginning of the summer. She wants to
have at least $200 in the account by the
end of the summer. She withdraws $25
each week for food, clothes, and movie
tickets. How many weeks can Triniti
withdraw money? Write an inequality you
could use to represent this problem.
please hurry
Answer: 12
Step-by-step explanation: by the end of 12 weeks shell have 200 dollars left
PLEASE HELP ME ON THIS I’ll make you brainliest I swear
The graph of the given quadratic function, y = -0.5(x + 5)(x - 3), is shown below
Graph of a Quadratic functionFrom the question, we are to draw the graph of the given quadratic function.
The given quadratic function is
y = -0.5(x + 5)(x - 3)
To plot the graph of the given quadratic function, we will determine the value pairs that satisfy the equation
When x = -5
y = -0.5(-5 + 5)(-5 - 3)
y = -0.5(0)(-8)
y = 0
When x = -2
y = -0.5(-2 + 5)(-2 - 3)
y = -0.5(3)(-5)
y = 7.5
When x = 0
y = -0.5(0 + 5)(0 - 3)
y = -0.5(5)(-3)
y = 7.5
When x = 2
y = -0.5(2 + 5)(2 - 3)
y = -0.5(7)(-1)
y = 3.5
When x = 3
y = -0.5(3 + 5)(3 - 3)
y = -0.5(8)(0)
y = 0
When x = -5
y = -0.5(5 + 5)(5 - 3)
y = -0.5(10)(2)
y = -10
Using the value pairs above, the graph of the given function is shown below
Learn more on Graph of Quadratic function here: https://brainly.com/question/14477557
#SPJ1
Solve for x. 6(x-2) = 4x-2 *
Answer:
x=5
Step-by-step explanation:
distribute: 6x-12=4x-2
subtract 4x and add 12 on both sides: 2x=10
Convert the value from meters/second to kilometers/hour. One kilometer is equal to 1,000 meters, and 1 hour is equal to 3,600 seconds.
Converting the value from meters/second to kilometers/hour is 105 m/s =378 km/h
What is conversion?
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used
We have to convert the meters per second into kilometers per hour.
1m /sec = (1/1000)/ (1/3600) km/h = 3600/1000 km /h
So, we have to divide 105 by 1000, and multiply it by 3600.
Mathematically speaking
Hence, converting One kilometer is equal to 1,000 meters, and 1 hour is equal to 3,600 seconds is 378 km/h
Learn more about conversion at:https://brainly.com/question/97386
#SPJ1
The rectangular floor of a classroom is 32 feet in length and 28 feet in width. A scale drawing of the floor has a length of 16 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answer:
Step-by-step explanation: the answer would be 60.
4. An old book was bought for Rs 1520 and sold for Rs 1444. Find the loss per cent
An old book was bought for Rs 1520 and sold for Rs 1444. The loss percent is 5.263%
Given,
Cost price = 1520
Selling price = 1444
Loss = C.P - S.P
= 1520 - 1444
= 76
Now, percentage of loss = [tex]\frac{Loss}{C.P}[/tex] × 100
= [tex]\frac{76}{1444}[/tex] × 100
= 5.263
Hence, the loss percent is 5.263%
Learn more about book
https://brainly.com/question/13997839
help pls bro ill give brainliest
The number of cakes (x) and cookies (y) are 15 and 60 respectively.
What are the number of cakes and cookies?Given the system of equation in the question;
x + y = 75y = 4xTo solve for x and y, plug y = 4x into the first equation and solve for x.
x + y = 75
Plug in y = 4x
x + 4x = 75
5x = 75
Divide both sides by 5
5x/5 = 75/5
x = 75/5
x = 15
Now, plug x = 15 into the second equation and solve for y.
y = 4x
Plug in x = 15
y = 4( 15 )
y = 60.
Therefore, the value of x and y are 15 and 60 respectively.
Learn more about simultaneous equation here: https://brainly.com/question/16763389
#SPJ1
how many 3/4 cup servings are in a 12 cup bottle of lemonade? (must be solved using fractions - show your work).
Answer:
16
Step-by-step explanation:
we need to find how many servings can be made out of 12cups of lemonade if each serving is 3/4th of a cup . For that you just need to divide the total quantity of lemonade with each serving as ,
= 12 ÷ 3/4
= 12 * 4/3
= 4*4
= 16
And we are done!
Evaluate the expression for the given value of the variables.
0. 5c -2. 7d
c=13, d = 2
0. 50 -2. 7d = (Type an integer or a decimal. )
When the value of c is 13 and d = 2, then the value of the expression
0. 5c -2. 7d is 1.1
It is given that the expression for the given value of the variables is
0. 5c -2. 7d
If the value of c is 13 and the value of d is 2, then the value of expression is
0. 5c -2. 7d
putting the value of 'c' and 'd'
0. 5c -2. 7d = 0.5(13) - 2.7(2)
0. 5c -2. 7d = 6.5 - 5.4
0. 5c -2. 7d = 1.1
so, the value of the expressions for the given value of the variables i.e., c = 13 and d = 2 is 1.1
To know more about algebra
https://brainly.com/question/11558965
#SPJ4
2. A small town's population has grown at a rate of 6% per year. The initial population of the town was 5,600. A nearby town had an initial population of 10, 200 people but is declining at a rate of 4% per year.
a. Write two equations to model the population of each town.
Let Pa represents the first town's population and t represents years. Let Pa represents the second town's population and t represents years.
b. Use your equation to predict the number of years when the two towns will have the same population. About how many people will be in each town at that time?
sjdffdghddffffdbdbbfbdhdbdbfbd
I need help with this problem
An increasing exponential function is defined as follows:
y = a(1 + r)^x.
In which:
a is the initial value.r is the growth rate, as a decimal.For this problem, the function is given as follows:
y = 20000(1.14)^t.
In which the parameters are given as follows:
a = 20,000.r = 0.14.More can be learned about exponential functions at https://brainly.com/question/30113628
#SPJ1