Answer:
1/4Step-by-step explanation:
Probability is the likelihood or chance that an event will occur. Mathematically,
Probability = Expected outcome/Total outcome
If the spinner has 10 equally sized sections 5 of which are gray and 5 of which are blue, the total outcome will be equal to 10.
The probability that spinning lands on blue = 5/10
The probability that spinning lands on gray = 5/10
The probability that the first spin lands on gray and the second spin lands on blue is 5/10*5/10 = 25/100
25/100 = 1*25/(4*25) = 1/4
Hence, the probability that the first spin lands on gray and the second spin lands on blue in its simplest form is 1/4
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Assume that the population standard deviations are equal.
Answer:
See the attachment for formatted formulas
Step-by-step explanation:
Let X11, X12, ……,X1n and X21 , X22……., X2n be two small independent random samples from two normal populations with means u1 and u2 and the standard deviations σ1 and σ2 respectively. If σ1= σ2 (=σ) but unknown then the unbiased pooled or combined estimate of the common variance σ2 (the term variance means that each population has the same variance) is given by
Sp2 = ((n_1-1) s_(1^2 )+ (n_2-1) s_2^2)/(n_1+n_2-2)
Where
S12 = 1/(n_1- 1) ∑▒〖 (X_1i- X`_1)〗^2 and
S22 = 1/(n_2- 1) ∑▒〖 (X_2j- X`_2)〗^2
The test statistic
t = ((X_1`-X_2`)- (μ_1- μ_2))/(√(s_p&1/n_1 )+ 1/n_2 )
Has t distribution with v= n1 + n2 – 2 degrees of freedom.
It is used as a test statistic for testing hypotheses about the difference between two population means.
The procedure for testing hypothesis H0: μ_1- μ_2= ∆_0 in case of small independent samples when σ_1= σ_2 is as follows.
Formulate the null and alternative hypotheses given σ_1= σ_2= σ unknown.H0: μ_1- μ_2= ∆_0 against the appropriate alternative.
Decide the significance level α. The test statistic under H0 ist = ((X_1`-X_2`)- ∆_0 )/(√(s_p&1/n_1 )+ 1/n_2 )
Which has t distribution with v= n1 + n2 – 2 degrees of freedom.
Identify the critical region Compute the t- value from the given data Reject H0 if t falls in the critical region, accept H0 otherwise.At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults. Write the ratio of the number of boys to the number of girls. Type your answer either in the format: 3:4 with no spaces, OR in the format 3 to 4.
Answer:
the ratio will be 132 to 89
The ratio is 132 : 89.
What is ratio?A comparison of two quantities by division is called a ratio and the equality of two ratios is called proportion. A ratio can be written in different forms like x : y or x/y and is commonly read as, x is to y.
Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b
Given:
Boys= 132
girls= 89
adults= 14
So,
the ratio of number of boys to number of girls is
= 132/89
=132 : 89
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Which is closest to the distance between A and B on the number
line?
A) -9
B) -5
C) 13
D) 5
E) 12
Answer:
C) 13
Step-by-step explanation:
A on the number line is about -5 and B is 8. Act as if there wasn't a negative sign in front of the 5. Add the two numbers together the get the distance.
I’m really struggling, someone please help!
Hi there! :)
Answer:
[tex]\huge\boxed{C.}[/tex]
We can examine each answer choice individually:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900. Therefore, this choice is incorrect.
B. 569 · 10 = 5,690. This choice is incorrect.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000. This choice is correct.
D. 10² · 569 = (10 · 10) · 569 = 56,900. This choice is incorrect.
Therefore, the correct option is C.
Answer:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900.
B. 569 · 10 = 5,690.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000.
D. 10² · 569 = (10 · 10) · 569 = 56,900.
So your answer is C
round 5.36909546581 to 5 decimal places.
Answer:
5.36910
Step-by-step explanation
whatever you see like 95 can round up to 100.
5.369095... you just round up 95 to 100.
5 decimal is 5.36910
The number 5.36909546581 which is needed to be rounded off up to 5 decimal places is 5.36910.
What are decimal numbers?The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. The method of representing numbers in the decimal system is commonly referred to as decimal.
Given the number 5.36909546581 which is needed to be rounded off up to 5 decimal places. Therefore, if we look at the sixth place after the decimal it is equal to 5.
Thus, fifth place is needed to be rounded off to the next number.
Hence, the number 5.36909546581 which is needed to be rounded off up to 5 decimal places is 5.36910.
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What is the difference between 4 and 62
2.
Answer:
6214
Step-by-step explanation:
you round up 62 and 4 20 times and that is your answer but for give me if this answer wrong
Write the following relation as a linear equation in standard form. Include a space between terms and operations.
B={(x, y): (2, 3), (4,4), (6,5), ...}
Answer:
In the form of
Y= mx+c
Y= 1/2x +2
m = 1/2
Step-by-step explanation:
A linear equation in it's standard form is in the format
Y= mx+c
Where m is the slope and c is the y intercept
Let's use these two points to determine both the slope and the equation
(2, 3), (4,4)
Slope= (y2-y1)/(x2-x1)
Slope= (4-3)/(4-2)
Slope= 1/2
Equation of the linear function
(Y-y1)/(x-x1)= m
(Y-3)/(x-2)= 1/2
2(y-3) = x-2
2y -6 = x-2
2y= x-2+6
2y= x+4
Y= 1/2x +2
You take the four Aces, four $2$'s, and four $3$'s from a standard deck of 52 cards, forming a set of $12$ cards. You then deal all $12$ cards at random to four players, so that each player gets three cards. What is the probability that each player gets an Ace, a $2$, and a $3$?
Answer:
Probability each player gets an ace, a $2 and a $3 = 0.0374
Step-by-step explanation:
The total number of ways to divide the card in triples among four players = 369600 ways
The total number of ways to share the cards such that no card is repeated in each triple = 13824 ways
Probability each player gets an ace, a $2 and a $3 = 13824/369600
Probability each player gets an ace a $2 and a $3 = 0.0374
Note: Further explanation is provided in the attachment.
Video Example EXAMPLE 3 Find the local maximum and minimum values and saddle points of f(x, y) = x4 + y4 − 4xy + 1. SOLUTION We first locate the critical points:
Answer:
(0, 0) is a saddle point
(1, 1) is a local minimum
(-1, -1) is another point of local minimum
Step-by-step explanation:
We first locate the critical points. In order to get the critical points we need to find the first derivatives and then set them to zero.
f(x, y) = x⁴ + y⁴ - 4 xy + 1
Find the first derivatives wrt to x and y
[tex]f_{x}(x,y)[/tex] = 4x ³ - 4y --> (1)
[tex]f_{y}(x,y)[/tex] = 4y³ - 4x --> (2)
Solve (1) for y
4x ³ - 4y = 0
x ³ = y
y = x ³ ---> (3)
Solve (2) for x
4y³ - 4x = 0
4y³ = 4x
y³ = x
x = y³ ----> (4)
Plug (3) into (2)
4y³ - 4x
4(x ³)³ - 4x = 0
4x⁹ - 4x = 0
4x (x ⁸ - 1) = 0
4x (x ⁴ - 1)(x⁴ + 1) = 0
4x (x ² - 1)(x ² + 1)(x ⁴ + 1) = 0
4x (x - 1)(x + 1)(x ² + 1)(x ⁴ + 1) = 0
So
x = 1 , -1 , 0
In order to find values of y, Plug each x value in (3)
For
x = 0
corresponding y value
y = x ³
y = 0 ³
y = 0
For
x = 1
y = x ³
y = 1 ³
y = 1
For
x = -1
y = x ³
y = (-1 )³
y = -1
Hence we get the critical points which are:
(0, 0)
(1, 1) and
(-1, -1)
Now for each critical point, we have to compute D(x,y)
For a critical point (x,y), D computed as:
D(x, y) = [tex]f_{xx}[/tex] (x, y) - [tex]f_{yy}[/tex] (x, y) - ([tex]f_{xy}[/tex] (x, y))²
After computing D(x,y) check:
If D(x, y) > 0 and [tex]f_{xx}[/tex] (x, y) > 0:
f(x, y) is a local minimum.
If D(x, y) > 0 and [tex]f_{xx}[/tex] (x, y) < 0:
f(x, y) is a local maximum.
If D(x, y) < 0:
then f(x, y) is a saddle point
Here first compute the second derivative in order to get [tex]f_{xx}[/tex] , [tex]f_{yy}[/tex] and [tex]f_{xy}[/tex]
we have already computed:
[tex]f_{x}(x,y)[/tex] = 4x ³ - 4y --> (1)
[tex]f_{y}(x,y)[/tex] = 4y³ - 4x --> (2)
Now
[tex]f_{xx}(x,y)[/tex] = 12x²
[tex]f_{yy}(x,y)[/tex] = 12y²
[tex]f_{xy}(x,y)[/tex] = -4
Compute D(x,y)
Critical Point (0, 0):
[tex]D(0, 0) = f_{xx} (0,0) f_{yy}(0,0)-(f_{xy}(0,0))^{2}[/tex]
Putting values of [tex]f_{xx}(x,y)[/tex] , [tex]f_{yy}(x,y)[/tex] and [tex]f_{xy}(x,y)[/tex] in above equation:
D(0,0) = 12(0)² * 12(0)² - (-4)²
= 0 * 0 -16
D(0,0) = -16
We know that if D < 0, the critical point f(x, y) is a saddle point.
D(0,0) < 0 because D(0,0) = -16
Hence (0, 0) is a saddle point
Compute D(x,y)
Critical Point (1, 1):
[tex]D(1, 1) = f_{xx} (1,1) f_{yy}(1,1)-(f_{xy}(1,1))^{2}[/tex]
Putting values of [tex]f_{xx}(x,y)[/tex] , [tex]f_{yy}(x,y)[/tex] and [tex]f_{xy}(x,y)[/tex] in above equation:
D(1,1) = 12(1)² * 12(1)² - (-4)²
= 12 * 12 - 16
D(1,1) = 128
We know that if D(x, y) > 0 and [tex]f_{xx}[/tex] (x, y) > 0 then f(x, y) is a local minimum.
D(1,1) > 0 because D(1,1) = 128
[tex]f_{xx}[/tex] (x, y) > 0 because [tex]f_{xx}[/tex] (x, y) = 12
Hence (1,1) is the local minimum
Compute D(x,y)
Critical Point (-1, -1):
[tex]D(-1, -1) = f_{xx} (-1,-1) f_{yy}(-1,-1)-(f_{xy}(-1,-1))^{2}[/tex]
Putting values of [tex]f_{xx}(x,y)[/tex] , [tex]f_{yy}(x,y)[/tex] and [tex]f_{xy}(x,y)[/tex] in above equation:
D(-1,-1) = 12(-1)² * 12(-1)² - (-4)²
= 12 * 12 - 16
D(-1,-1) = 128
We know that if D(x, y) > 0 and [tex]f_{xx}[/tex] (x, y) > 0 then f(x, y) is a local minimum.
D(-1,-1) > 0 because D(-1,-1) = 128
[tex]f_{xx}[/tex] (x, y) > 0 because [tex]f_{xx}[/tex] (x, y) = 12
Hence (-1,-1) is the local minimum
HELP!! 30 POINTS!!! 2 and 3!!!
Replace x with each value and solve :
2 x 2^1 = 2 x 2 = 4
2 x 2^2 = 2 x 4 = 8
2x 2^3 = 2 x 8 = 16
2x 2^4 = 2 x 16 = 32
2 x 2^5 = 2 x 32 = 64
Now mark two points on the graph: (1,4) and (2,8) and draw a straight line though both points
The image is not rotated correctly...
Answer:
Q#2 y;; 4 8 16 32 64
Q#3 given below;
Step-by-step explanation:
What is the Area of the region shown below?
Answer:
B) 47 units²
Step-by-step explanation:
It can be done by finding the area of the black, but it will be much easier to find the area of the white and subtract.
Total area of the grid equals 10x8=80
There are two rectangles at the bottom. 6+8=14
There are 4 triangles that each equal 4.5. 4.5*4=18
There is 1 small triangle at the top that equals 1.
80-14-18-1=47
Alewuya recently hired a landscaper to do some necessary work. On the final bill, Alewuya was charged a total of $361. $265 was listed for parts and the rest for labor. If the hourly rate for labor was $32, how many hours of labor was needed to complete the job?
Answer:
361-265＝96
96÷32＝3
3hours of labor was needed to complete the job
Let L1 be the line containing points (8, -4) and (2, -5), and let L2 be the line containing points (10, 9) and (15, -21). Find the slope of each line.
give another name for r
I would have to say its AB<----
But im not 100% sure I wish you luck.
A zookeeper divided 3,570 pounds of food equally among 7 elephants.
How many pounds of food did each elephant receive?
Each elephant received
pounds of food.
Answer:
[tex] \boxed{\sf Amount \ of \ food \ each \ elephant \ receive = 510 \ pounds} [/tex]
Given:
Total amount of food = 3,570 pounds
Total number of elephants = 7
To Find:
Amount of food each elephant receive
Step-by-step explanation:
7 elephants receive = 3,570 pounds
[tex] \sf 1 \: elephant \: receive = \frac{3570}{7} \: pounds[/tex]
= 510 pounds
So,
Amount of food each elephant receive = 510 pounds
. Which sentence contains a proper noun? Users of electronic databases can check a library’s catalog to see which books are available. Using computers, people can obtain goods directly from manufacturers in other countries. The Internet is a communication network that gained popularity in the 1990s. With the capabilities provided by the computer, users can research products, services, and companies online.
Step-by-step explanation:
A proper noun is a specific name for a particular person, place, or thing.
The Internet is a communication network that gained popularity in the 1990s.
A proper noun should always start with a capital letter, whether at the start or middle of a sentence.The solution to the compound inequality are____
Answer:
-1 < x ≤ 2
Step-by-step explanation:
-2 < 2x ≤ 4
Divide by 2
-2/2 < 2x/2 ≤ 4/2
-1 < x ≤ 2
Open circle at -1 line going to the right to a closed circle at 2
Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. which of the following questions points out his most serious omission?
Answer:
The best and most correct answer among the choices provided by the question is
The statement that points out his most serious omission is "What if the electric bill increases?".
Step-by-step explanation:
What is the area of a circle with a diameter of 6?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28.28 \: }}}}}[/tex]
Step-by-step explanation:
Given, diameter of a circle = 6
pi ( π ) = 22 / 7
Finding the radius of the circle
We know that the radius of a circle is just half of the diameter. So, 6 / 2 = 3
Finding the area of circle having radius of 3
[tex] \boxed{ \sf{area \: of \: circle = \pi \: {r}^{2} }}[/tex]
plug the values
⇒[tex] \sf{area \: of \: circle = \frac{22}{7} \times {3}^{2} }[/tex]
Evaluate the power
⇒[tex] \sf{area \: of \: circle = \frac{22}{7} \times 9}[/tex]
Calculate
⇒[tex] \sf{area \:of \: circle = 28.28 \: }[/tex]
Hope I helped!
Best regards! :D
Which of the following is the correct formula for distance?
(A.) d= (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(B.) d= sqrt (x2+x1)^2+(y2+y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(D.) d= sqrt (x2-x1)+(y2-y1), where d is the distance between points (x1,y1) and (x2,y2).
Answer:
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{\mathrm{C }}[/tex]
Step-by-step explanation:
[tex]\sf The \ distance \ formula \ is \ given \ as:[/tex]
[tex]d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2 }[/tex]
[tex]d \Rightarrow \sf distance[/tex]
[tex](x_1,y_1) \Rightarrow \sf Coordinates \ of \ the \ first \ point[/tex]
[tex](x_2,y_2) \Rightarrow \sf Coordinates \ of \ the \ second \ point[/tex]
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of all random samples of people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. It can be said that nothing% of the population has a driving distance to work (in miles) that is between the interval's endpoints. C. With nothing% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. D. With nothing% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
Answer:
With 99 % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints [19.91 miles, 31.49 miles] .
Step-by-step explanation:
The complete question is: In a random sample of six people, the mean driving distance to work was 25.7 miles and the standard deviation was 6.7 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean mu is left parenthesis 14.7 comma 36.7 right parenthesis (and the margin of error is 11.0).
Through research, it has been found that the population standard deviation of driving distances to work is 5.5 . Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99 % confidence interval for the population mean mu .
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.)
A. nothing % of all random samples of six people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.
B. With nothing % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
C. It can be said that nothing % of the population has a driving distance to work (in miles) that is between the interval's endpoints.
D. With nothing % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
We are given that in a random sample of six people, the mean driving distance to work was 25.7 miles and the standard deviation was 6.7 miles.
Through research, it has been found that the population standard deviation of driving distances to work is 5.5 .
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean driving distance to work = 25.7 miles
[tex]\sigma[/tex] = population standard deviation = 5.5 miles
n = sample of people = 6
[tex]\mu[/tex] = population mean driving distance to work
Here for constructing a 99% confidence interval we have used a One-sample z-test statistics because we know about the population standard deviation.
So, 99% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level
of significance are -2.58 & 2.58}
P(-2.58 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 2.58) = 0.99
P( [tex]-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.99
P( [tex]\bar X-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.99
99% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]
= [ [tex]25.7-2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] , [tex]25.7+2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] ]
= [19.91, 31.49]
Therefore, a 99% confidence for the population mean is [19.91, 31.49] .
The margin of error here is = [tex]2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex]
= [tex]2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] = 5.793
With 99 % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints [19.91, 31.49] .
A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a rectangular box. What size square should be cut from each corner to obtain a maximum volume
Answer:
Length of square cut = 1.569 inches
Step-by-step explanation:
given data
Length of cardboard = 12 inches
Breadth of cardboard = 8 inches
solution
we will consider here side of the square = x
when we cutting out the square then there Length and breadth of candy box will be
Length of box = (12 - x - x)
Length of box = (12 - 2x) inches.
and
Breadth of box = (8 - x - x)
Breadth of box = (8 - 2x) inches.
and Height of candy box wil be = x inches
so
Volume of a cuboid = L × b × h .....................1
Volume of a cuboid = (12 - 2x) × (8 - 2x) × x
Volume of a cuboid = 96x - 40x² + 4x³
now we Differentiate with respect to x
V' = 96 - 80x + 12x²
and for maximum volume we put V' = 0
0 = 96 - 80x + 12x²
solve it we get
x = 5.097
x = 1.569
when x = 5.097 inches
Breadth of candy box = 8 - 10.194 = -2.194 inches
but we know breadth never be negative,
so we take
Length of square cut = 1.569 inches
PLZZZZZZZZ HELP ME I WILL GIVE BRAINLIEST TO THE FASTEST AND MOST ACCURATE
The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 grams. Use the empirical rule to determine the following.
a. About 95 % of organs will be between what weights?
b. What percentage of organs weighs between 270 grams and 350 grams?
c. What percentage of organs weighs less than 270 grams or more than 350 grams?
d. What percentage of organs weighs between 230 grams and 430 grams?
Answer:
Step-by-step explanation:
Given that:
The mean μ = 310
The standard deviation σ = 40
Using the empirical rule to determine the following :
a. About 95 % of organs will be between what weights?
At 95% data values lies within 2 standard deviations of mean.
Thus, the required range is :
= μ ± 2σ
= ( 310 - 2 (40) , 310 + 2(40) )
= (230, 390)
b. What percentage of organs weighs between 270 grams and 350 grams
Here:
μ ± σ = (310 - 40, 310 + 40)
μ ± σ = (270, 350)
Using empirical rule, 68% data values is in the range within 1 standard deviation of mean. This implies that 68% data values lie between (270, 350).
c. What percentage of organs weighs less than 270 grams or more than 350 grams?
The complement theorem can be use to estimate the percentage of organs that weighs less than 270 grams or more than 350 grams,
This can be illustrated as :
= 100 % - 68 %
= 32 %
d. What percentage of organs weighs between 230 grams and 430 grams?
Using the empirical rule:
The percentage of organs weighs between 230 grams and 430 grams is:
u - 2σ and u + 3σ respectively.
Convert 8 centimeters into yards. Round your answer to the nearest hundredth
Answer: 0.08 yards
Step-by-step explanation: 1 centimeter equals to about 0.01 yards. You have to multiple 0.01 to 8 and it will give 0.08 yards.
Answer:
x = 0,087489064
Step-by-step explanation:
1 cm = 0.010936133 yards
8 cm = x
x = 8 cm x 0.010936133 yards/ 1 cm
x = 0,087489064
Perform the operation. (Write fractional answers in simplest form.) 8x/3 ÷ 6/7
Answer:
[tex]\frac{28x}{9}[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
[tex]\frac{8x}{3} /\frac{6}{7}[/tex]
Step 2: KCF (Keep Change Flip)
[tex]\frac{8x}{3} (\frac{7}{6})[/tex]
Step 3: Multiply
[tex]\frac{56x}{18}[/tex]
Step 4: Simplify
[tex]\frac{28x}{9}[/tex]
Answer:
28x/9
Step-by-step explanation:
Dividing a fraction by fraction is the same as multiplying a fraction by the other fraction's reciprocal:
Here is the formula:
[tex]\frac{x}{y} / \frac{a}{b} = \frac{x}{y} * \frac{b}{a}[/tex]
Thus, [tex]\frac{8x}{3} / \frac{6}{7} = \frac{8x}{3} * \frac{7}{6}[/tex]
8x * 7 = 56x and 3* 6 is 18, so:
[tex]\frac{56x}{18}[/tex]
It can be further simplified by dividing both numerator and denominator by 2:
[tex]\frac{28x}{9}[/tex]
Sally had 150 dollars to spend on 9 books. After
buying them she had 15 dollars. How much did each book cost
Answer:
Each book costs $15 dollars
Step-by-step explanation
150-15=135
135/9=15
$15
How can the decimal –70.73 be written as a mixed number?
Answer:
-70[tex]\frac{73}{100}[/tex]
Hope It Help
Find the heigt and width of the box. PLEASE HELP I’m having a lot of trouble on this.
Answer:
The height and width are both 12 inches.
Step-by-step explanation:
2304/16=144
√144=12
Please, can someone help me with this problem? I would really appreciate it if you could explain the process too.