Answer:
Option BStep-by-step explanation:
Correct way of dividing fractions:
14/15 ÷ 7/5 = 14/15 × 5/7Answer choices
A) Multiplying 14/15 by 5 and then by 17. FALSEB) Multiplying 14/15 by 5 and then dividing by 7, TRUEC) Dividing 14/15 by 5, and then multiplying by 17. FALSED) Multiplying 15/14 by 7 and then dividing by 5. FALSEE) Multiplying 14/15 by 7 and then multiplying by 15. FALSELet's see
[tex]\\ \sf\longmapsto \dfrac{14}{15}\div \dfrac{7}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{14}{15}\times \dfrac{5}{7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{70}{105}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
Calculate the perimeter of a square with a side length of 3ft
The perimeter of a square is the length of one side multiplied by 4 ( the number of sides)
3 ft x 4 sides = 12 ft.
Perimeter = 12 ft.
The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and width of the triangle.
Answer:
w = 22 in, h = 8 in.
Step-by-step explanation:
Reading the problem, I immediately see two equations. This hints me towards a system of equations problem.
Statement 1 is The width of a triangle is six more than twice the height.
The width (w) of a triangle is (=) six (6) more (+) than twice (2) the height (h).
Equation 1: w = 6 + 2h
Statement 2 is The area of the triangle is 88 in2.
The formula for the area of a triangle is [tex]\frac{wh}{2}[/tex]. So, we get our second equation.
Equation 2: wh/2 = 88
We see that we have the same number of equations as unknowns, two. This is important as it lets us know that we can find two unknowns in the two equations. If there are more unknowns than equations, then we cannot find the values of all the variables. Look for another equation in the problem. However, if the # equations greater than or equal to number of unknowns, then we are ready to start solving! So, we can now move to solving.
Equation 1 isolates one of the unknowns (w). So, we can replace w in the second equation with the right side of eq 1. Then, we simplify for h.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{(6 + 2h)h}{2} = 88[/tex]
[tex]\frac{6h + 2h^2}{2} = 88[/tex]
[tex]6h + 2h^2 = 176[/tex]
[tex]2h^2 + 6h - 176 = 0[/tex]
[tex]h = -11, 8[/tex] (assuming you know how to solve quadratics)
Since we know that heights of triangles cannot be negative, we find that [tex]h = 8[/tex] in.
For the final step, we plug [tex]h[/tex] into our first equation to find [tex]w[/tex].
[tex]w = 6 + 2h[/tex]
[tex]w = 6 + 2(8)[/tex]
[tex]w = 6 + 16[/tex]
[tex]w = 22[/tex]
So, the answer is w = 22 in, h = 8 in.
To check if we were right, we can plug the values into both equations to see if they are equal. I will skip equation 1 since we used that equation "as-is" to find w.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{22 * 8}{2} = 88[/tex]
[tex]11 * 8 = 88[/tex]
[tex]88 = 88[/tex]
The solution checks out!
For the student council meeting after school, Mr. Aggie brought 7 loaves of homemade raisin bread. Each loaf was cut into 20 equal pieces. The sixth grade students ate 1 whole loaf and 4 slices of raisin bread. The seventh grade students ate 9 slices of raisin bread. The eighth grade students ate 6 slices of raisin bread. Which expression below can be used to show the amount of raisin bread eaten by the student council members?
Answer:
proportion of ratio will be used
Answer:
C. 1 4/10 + 9/10 + 6/10
got it right
A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below.
Completed Homework Did not Complete Homework Total
Passed the Course 25 7 32
Did not Pass the Course 5 18 23
Total 30 25 55
A student from the class is randomly selected. Determine the following probabilites. Enter your results as percents rounded to two decimal places.
What is the probability a student passed the course given that they completed their homework?
%
What is the probability a student passed the course given that they didn't complete their homework?
28
Correct%
What is the probability a student completed their homework given that they passed the course?
%
What is the probability a student didn't complete their homework given that they didn't pass the course?
%
Probabilities are used to determine the chances of an event.
Let P represents the event that a student passes the course, and C represents the event that a student completes the assignment
(a) The probability a student passed the course given that they completed their homework?
From the table, we have:
[tex]\mathbf{n(P\ n\ C) = 25}[/tex]
[tex]\mathbf{n(C) = 30}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(C)}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{25}{30}}[/tex]
[tex]\mathbf{Pr = 0.8333}[/tex]
Express as percentage
[tex]\mathbf{Pr = 83.33\%}[/tex]
Hence, the probability a student passed the course given that they completed their homework is 83.33%
(b) The probability a student passed the course given that they didn't complete their homework
From the table, we have:
[tex]\mathbf{n(P\ n\ C'= 7}[/tex]
[tex]\mathbf{n(C') = 25}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7}{25}}[/tex]
[tex]\mathbf{Pr = 0.28}[/tex]
Express as percentage
[tex]\mathbf{Pr = 28\%}[/tex]
Hence, the probability a student passed the course given that they didn't complete their homework is 28%
(c) The probability a student completed their homework given that passed the course?
From the table, we have:
[tex]\mathbf{n(P\ n\ C) = 25}[/tex]
[tex]\mathbf{n(P) = 32}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{25}{32}}[/tex]
[tex]\mathbf{Pr = 0.78125}[/tex]
Express as percentage
[tex]\mathbf{Pr = 78.125\%}[/tex]
Approximate
[tex]\mathbf{Pr = 78.13\%}[/tex]
Hence, the probability a student completed their homework given that they passed the course is 78.13%
(d) The probability a student didn't complete their homework given that they didn't pass the course
From the table, we have:
[tex]\mathbf{n(P'\ n\ C'= 18}[/tex]
[tex]\mathbf{n(P) = 23}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{18}{23}}[/tex]
[tex]\mathbf{Pr = 0.7826}[/tex]
Express as percentage
[tex]\mathbf{Pr = 78.26\%}[/tex]
Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%
Read more about probabilities at:
https://brainly.com/question/11234923
Please use image above ^^
Answer:
D or answer choice 4
Step-by-step explanation:
–5(–2) = help me please ill give brainlist
Answer:
The answer is 10!
Step-by-step explanation:
what are the mean variacne and standard deviatioon of the values? round to the nerates tenth. 11,11,3,1,11
Answer:
Mean = 8
Variance = 22
Standard deviation = 4.6904
Step-by-step explanation:
To find out Mean the formula is : total sum of data set / number of values
(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8
Mean = 8
Now for variance we will form a table
x 11 11 3 1 11 11
(x - Mean) 3 3 -5 -7 3 3
(x - Mean)² 9 9 25 49 9 9
Now we the formula of variance =
Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22
Variance = 22
Now we know Standard deviation = √(variance)
Therefore standard deviation = √22 = 4.6904
Hope this helps!<3
Answer: Mean = 8
Step-by-step explanation:
The area under the graph line
made with the x-axis represents
the change in position of the
object on a velocity versus time
graph. (5 points)
The statement is true: the area under the graph line made with the x-axis
represents the change in position of the object on a velocity versus time
graph.
Reasons:
[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]
The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.
A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.
Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.
Learn more here:
https://brainly.com/question/18910091
Answer: True
Step-by-step explanation:
Graph the line with slope 7 and y-intercept -7
Given :-
To graph the line with slope 7 and y intercept -7.To Find :-
The graph of the line .Solution :-
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
[tex]\longrightarrow[/tex] y = mx + c
On putting the respective values ,
[tex]\longrightarrow[/tex] y = 7(x) + (-7)
[tex]\longrightarrow[/tex] y = 7x - 7
For the graph see attachment .
6 + 2f = 8
f =
what the awnser i need help
Answer
f= 1
step by step explanation
work out angel x
Please could u help me with this
ASAP thanks you
How do you know whether two quantities x and y are proportional?
Answer:
I did this question for my little brother. and the answer is A. I think.
(2a+3) by (a+2) binomial multiplication
Answer:
refer to the attachment
hope it helps.......
Answer:
2a² + 7a + 6Step-by-step explanation:
(2a+3) (a+2) = 2a(a) + 2a(2) + 3(a) + 3(2) = 2a² + 4a + 3a + 6 = 2a² + 7a + 6Can someone put an answer for each box plzzzz.
simplify _4x+2y+z_3x+2y_2z
Answer:
maybe 3xz + 4yz + 4x + 2y
Step-by-step explanation:
I tried my best!
what is the largest number you can make with these digits ? 2 5 9 6 answer _____________
Hello, hope you are having a splendiferous day.
Here are the numbers you can make with these 4 digits:
2596
6952
2965
5629
And so on.
However, the largest number we can make using these digits is
9652
Hope it helps. Glad to help.
Ask me if you have any queries.
Carry On Learning
~An emotional teen who helps others with joy
Good luck.
Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has
been offered a private loan for 10 years with an APR of 7.8%.
a. Determine her monthly payment.
b. What is the total amount she will pay back?
c. What is the total interest amount?
Using simple interest, and considering a loan of $5,000, it is found that:
a) Her monthly payment is of $74.17.
b) She will pay back $8,900.
c) The total interest amount is of $3,900.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount. r is the interest rate, as a decimal.In this problem:
The loan is of $5,000, hence [tex]A(0) = 5000[/tex].The APR is of 7.8%, hence [tex]r = 0.078[/tex]10 years, hence [tex]n = 10[/tex]Item b:
[tex]A(10) = 5000[1 + 0.078(10)] = 8900[/tex]
She will pay back $8,900.
Item a:
$8,900 will be paid in 10 x 12 = 120 months, hence:
[tex]M = \frac{8900}{120} = 74.17[/tex]
Her monthly payment is of $74.17.
Item c:
Loan of $5,000, pays back $8,900, hence:
8900 - 5000 = 3,900
The total interest amount is of $3,900.
A similar problem is given at https://brainly.com/question/13176347
quick mafs ill mark brainliest
Answer:
LJ< JK<LK
Step-by-step explanation:
for a theorem, the order of the side of the triangle is the same as the order of the opposite angles since for the angles it's K<L<J, you replace each with the opposite side (quick trick, it's the one not containing the letter!)
A company generally purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if 4 or more defective units are found in a random sample of 100 units. ​(a) What is the probability of rejecting a lot that is ​3% ​defective? ​(b) What is the probability of accepting a lot that is ​4% ​defective?
Using the binomial distribution, it is found that there is a:
a) 0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
b) 0.4295 = 42.95% probability of accepting a lot that is 4% defective.
For each device, there are only two possible outcomes, either it is defective, or it is not. The probability of a device being defective is independent of any other device, hence the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem, the sample has 100 units, hence [tex]n = 100[/tex].
Item a:
3% of the pieces are defective, hence [tex]p = 0.03[/tex].
The probability is:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.03)^{0}.(0.97)^{100} = 0.0476[/tex]
[tex]P(X = 1) = C_{100,1}.(0.03)^{1}.(0.97)^{99} = 0.1471[/tex]
[tex]P(X = 2) = C_{100,2}.(0.03)^{2}.(0.97)^{98} = 0.2252[/tex]
[tex]P(X = 3) = C_{100,3}.(0.03)^{3}.(0.97)^{97} = 0.2275[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0476 + 0.1471 + 0.2252 + 0.2275 = 0.6474[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.6474 = 0.3526[/tex]
0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
Item b:
4% of the pieces are defective, hence [tex]p = 0.04[/tex].
Lot is accepted if less than 4 units are defective, hence:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169[/tex]
[tex]P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703[/tex]
[tex]P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450[/tex]
[tex]P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0169 + 0.0703 + 0.1450 + 0.1973 = 0.4295[/tex]
0.4295 = 42.95% probability of accepting a lot that is 4% defective.
A similar problem is given at https://brainly.com/question/24863377
If an item is $6.49 for 36 ounces, then it is $
Answer:
0.18
Step-by-step explanation:
Add or subtract. write fractions in simplest form.
-5/3 + 2 1/3
how do i do this problem? i will mark you brainliest. please help!
Answer:
2/3
Step-by-step explanation:
-5/3 + 2 1/3 =
= 2 1/3 - 5/3
= 2 1/3 - 1 2/3
= 1 4/3 - 1 2/3
= 2/3
Answer:
2/3
Step-by-step explanation:
First, change 2 1/3 into an improper fraction.
2 1/3 --> 7/3
Substitute that value back into the equation
-5/3 + 7/3
At this point, you can rewrite the equation into:
7/3 - 5/3
Since they have the same denominator, just subtract the numerator's values.
2/3
How many lumps of wax 22 cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?
Answer:
To get least possible number of cubes, first find the HCF of 6, 12 and 15
HCF of 6, 12 and 15 = 3
Least possible number of cubes = (6/3)×(12/3)×(15/3)
=2 × 4 ×5
= 40
If f(x) = 4x + 3x2 + 1, then what is the remainder when f(x)
is divided by X -2?
Answer:
remainder = 21
Step-by-step explanation:
If f(x) is divided by (x - h) then the remainder is f(h)
Here f(x) is divided by (x - 2) with h = 2 , then remainder is
f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21
(NO LINKS AND DON'T COMMENT IF YOU DON'T KNOW)Compare the ratios using the models. Which statements are true? Check all that apply. 7 to 16 The model for the ratio 7 to 16 should show 7 cells shaded. The model for the ratio 6:8 should show 8 cells shaded. The ratio 7 to 16 is greater than 6:8. The ratio 6:8 is greater than the ratio 7 to 16. 6.8
Answer:
Step-by-step explanation:
Hi sorry if I’m bugging just trying to help out by getting Them B bye
A punch recipe requires 2 cups of cranberry juice to make 4 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 12 gallon of punch
Answer:
we need 6 cups of cranberry juice for 12 gallons of punch
i need some help here plzzzzzzzzzz
NO LINKS!!!!!!
Answer:
I'm pretty sure it's A,B, and D.
Step-by-step explanation:
debbie used 40% of her flour for
cookies she started with 24 cups how many cups did debbie use?
Answer:
24 x 40% = 9.6
Step-by-step explanation:
the answer is Lil Debbie™ 9.6 cup used.
what is the value of n in the equation? 2.6 x 10^-2 = (5.2 x 10^7) / (2 x 10^n)
Answer:
-9
Step-by-step explanation:
2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)
2.6×10^-2 = 2.6×10^(7-n)
The mantissas are equal, so we can equate the exponents:
-2 = 7 -n
n = 7 +2 = 9 . . . . . . add n+2
The value of n in the equation is 9.
The image of (-6,6) after a dilation by a scale factor of 5 centered at the
а
if f(x) = 7(x-1) + 8 , what is rhe value of f(11) ?
Answer:
f(11)=78
Step-by-step explanation:
f(11)=7(11-1)+8
f(11)=77-7+8
f(11)=78
Answer:
F(11) = 78
Step-by-step explanation:
f(11) means that you would just have to replace “x” on the equation with 11 and then solve;
=> f(11) = 7(11 - 1) + 8
=> f(11) = 7(10) + 8
=> f(11) = 70 + 8
=> f(11) = 78
therefore the answe is 78
Hope this helps!