Step-by-step explanation:
[tex] \to \dfrac{5}{7} = \dfrac{4x}{83} [/tex]
By cross multiplication,
→ 83(5) = 4x(7)
→ 415 = 28x
→ 415/28 = xIn decimal : 14.8214286A national publication showed the following distribution of favorite class subjects for high school students.
Music
Other
Math
Social Studies
Class Subject
Percentage
English
141
Physical Education
26%
205
7%
5%
28%
Pasquale, a student from a high school of 1.200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning and
asks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.
Submit
Other
Math
English
Physical Education
Social Studies
Class Subject
Observed
Music
6
6
8
6
7
He decides to conduct a chi-square goodness of-fit test to see whether his high school's distribution differs significantly from that of the publication Pasquale's statistics teacher tells him that his
information does not meet the conditions necessary for a goodness
of-fit test. Which condition has not been met?
1. Data are collected using a random sample or randomized experiment
IL n < 0.10N
III. All expected counts are greater than 5
Answer:
I and III
Step-by-step explanation:
Verify & mention the below given property a*(+)=*+*of rational numbers by taking a= 1:3, b= 1:5 c= -2:3
To Prove :
a×(b+c) = a×b + a×c
Solution :
Solving L.H.S. we get :
[tex]a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Solving R.H.S. we get :
[tex]a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Since, L.H.S = R.H.S
Therefore, the given equation is correct.
In 4/5 hours, Manuel reads 3/4 chapters. What is the unit rate in chapters per hour?
Manuel reads 3/4 chapter in 4/5 hours.
Rate = Chapter / Hours
Rate = (3/4) / ( 4/5)
Rate = 0.75 / 0.80
Rate = 0.9375
So, Manuel reads the chapter with rate 0.9375 chapters/hour.
Answer:
1 1/5, i think sorry if its wrong
Step-by-step explanation:
BRAINLEST☻
Which relation symbol makes this number sentence true?
5/6 ___ 10/16
<
>
Answer:
5/6 > 10/16
Step-by-step explanation:
5/6 is 83.33%
10/16 is 62.5%
Answer:
the correct answer is <
0.8<0.6
Write a rule for the nth term of the arithmetic sequence. Then graph the first six terms of the sequence. a6=-12 a12=-36
Answer:
We need to find the first term. We can use the formula
an = a1 + d(n - 1)
to solve for a1. We already know the 12th term, a12, common difference, d, and nth sequence, n.
a12 = -36
d = -4
n = 12
-36 = a1 - 4(12 - 1)
-36 = a1 - 44
8 = a1
The first term is 8. Therefore, your formula is
an = 8 - 4(n - 1)
an = -4n + 12
Then use this formula to graph.
n is the independent variable.
an is the dependent variable.
Your graph will be a line.
n | an
___________
1 8
2 4
3 0
4 -4
5 -8
6 -12
Step-by-step explanation:
give me brainliest.
Convert 0.6 radians to degree measure.
Round your answer to the nearest hundredth.
If y varies directly as the x squaredand y = 200 when x = 5, what is the value of y when x = -3? a. Negative 72 b. 120 c. 72 d. Negative 120
Answer:
C i think
Step-by-step explanation:
Answer:
y varies as the x², y=200 when x=5
Step-by-step explanation:
y=(k)x
200=(k)5
200/5=40
therefore; y= -120 because
y=(40)-3
y=-120
1.
Ahmal gets paid weekly at his summer job. He wants to save 15% of each paycheck. In four weeks, he earns these
amounts: $212.50, $235.00, $215.75, and $199.67. What is the total amount he will save for these four weeks?
Answer
UA. $31.88
B. $129.47
C. $733.65
D. $863.12
Answer:
$129.44
Step-by-step explanation:
15% of $212.50 + 15% of $235.00 + 15% of $215.75 + 15% of $199.67 =
= 0.15 * $212.50 + 0.15 * $235.00 + 0.15 * $215.75 + 0.15 * $199.67
= $31.88 + $35.25 + $32.36 + $29.95
= $129.44
Answer: $129.44
A professor gives a multiple choice exam where each question has four choices. The professor decides not to count a question against students if the class as a whole does worse on the question than they would have done simply by guessing. That is, if significantly less than 25% of the students answer a question correctly, then that question won't count against them.
Let p represent the proportion of students that would correctly answer the question.
Which of the following is an appropriate set of hypotheses for such a significance test?
ANSWER: H0:p=0.25
Ha:p<0.25
The hypotheses pair for the test of significance for the given situation is given as:
[tex]H_0: p \geq 0.25\\H_1: p < 0.25[/tex]
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
For the given case, the test is being done to check if there is significance or not.
The null hypothesis would assume that the score is not significantly less than 25%, as null hypothesis stays with nullity or denial of what is being prominently tested, which is the fact that students performed significantly less than 25%
Thus, we get null hypothesis as: [tex]H_0 : p \geq 25\% = 0.25[/tex] (not significantly less than 0.25, so either proportion is 0.25 or bigger than 0.25)
Alternate hypothesis is the hypothesis statement we want to test, which is the statement that students performed significantly less than 25%.
or
Alternate hypothesis: [tex]H_1 : p < 0.25[/tex]
Thus, the pair of hypotheses for the given situation is given as: [tex]H_0: p \geq 0.25\\H_1: p < 0.25[/tex]
Learn more about null and alternate hypothesis here:
https://brainly.com/question/18831983
Minh made a histogram showing the number of pets for each of his friends.
How many more friends have 4 or 5 pets than have 2 or 3 pets?
2 friends
4 friends
5 friends
7 friends
Histogram titled Number of Pets. Histogram with vertical axis labeled Number of friends and horizontal axis labeled Number of pets. Bar labeled 0 or 1 has a height of 2. Bar labeled 2 or 3 has a height of 4. Bar labeled 4 or 5 has a height of 9. Bar labeled 6 or 7 has a height of 6.
Answer: the answer is C
Step-by-step explanation:
just answered it and it was correct :)
Answer:
c
Step-by-step explanation:
ln x-ln(x-5)=ln2
Help in this problem please having problems on my homework
For a particular 5 hours journey, Alex travelled at an average speed of (2x + 5) km/h for
the first 2 hours. He then travelled at an average speed of (3x - 5) km/h for the last 3
hours to complete his journey.
(a) Write down an expression, in terms of x, to represent the distance travelled by
Alex in the first 2 hours of his journey
Answer:
4x + 10
Step-by-step explanation:
Given
Let
[tex]t = time[/tex]
[tex]s = speed[/tex]
So:
[tex]t = 2; s = (2x +5)[/tex] --- first 2 hours
[tex]t = 3; s = (3x -5)[/tex] --- last 3 hours
Required
Distance covered in the first 2 hours
Distance (d) is calculated as:
[tex]Distance = speed * time[/tex]
i.e.
[tex]d = s * t[/tex]
For the first 2 hours, we have:
[tex]t = 2; s = (2x +5)[/tex]
So:
[tex]d = (2x + 5) * 2[/tex]
Open bracket
[tex]d =2x * 2 + 5 * 2[/tex]
[tex]d =4x + 10[/tex]
Hence, the distance covered in 4x + 10
Your gas company charges you a standing charge of 9 pence per day and 2 pence per kilowatt-hour (KWh).
In the last quarter (90 days) you used 500 units (m3) of gas. 1 unit is approximately 11.1KWh.
How much is your bill for the last quarter?
Answer:
$8.10 + 55.50 x $2 KW
= 8.10 + 111.00 = $119.10
Step-by-step explanation:
d = days and x = kw/h
9d = 2x = 9(90) = 500m3
1 unit m3 = 11.1 kwh
We rewrite
9(90) = 500 x 11.1
500 x 11.1 = 5550 KW
0.09 x 90 = 5550 KW
8.1 + 5550 x 0.02
= 8.1 + 111 KW
= 119.10
= $119.10
Ryan received $7 more than Ben every week.
Both of them saved $50 per week and spent the rest.
When Ryan had spent $56, Ben had only spent $28.
How much money did Ben receive every week?
Help please!!
Two cars are traveling on the same road. The number of miles car A travels in x hours can be represented by the equation y = 46x. The graph below describes the motion of car B.
Which car is traveling the fastest? Explain.
A. Car B is Traveling the fastest. car B is traveling 4 miles faster than car A.
B. Cardi B is traveling the fastest. Car B is traveling 10 miles per hour faster than car A.
C. Car A Is traveling the fastest. Car is traveling 4 miles per hour faster than car B.
D. Car A is traveling the fastest. Car A is traveling 10 miles per hour faster than car B.
THERE IS 2 QUESTIONS PLEASE HELP ME
Answer:
I only know the first on and it's B
Jace is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1 per mile driven. How much would a taxi ride cost if Jace is riding for 8 miles? How much would a taxi ride cost that is m m miles long?
Answer: Cost for 8 miles - 11
Cost for m miles - m+3
Step-by-step explanation:
If one dollar is charged for every miles then it would be 8 dollars plus the initial payment of f 3 dollars.
If Clarie bikes at an average speed of 7
miles per hour, how many hours will
it take her to ride 28 miles?
А
28 hours
B
4 hours
9 hours
D
14 hours
use the rules for long division to divide 724 by 11
Answer:
65 r 9
Step-by-step explanation:
First we see what 7 divided by 11 is, we know that it is 0 so we put it in the top as our first number then we subtract 0 from 7 which is 7, then we bring down the 2 to make our next number 72, now we see if 11 can go into 72 and we know that it can by 6, we put our six on the top and then multiply it by 11 to get 66, we subtract our 66 from 72 to get 6, we bring down the 4 to make 64 and divide it by 11 to get 5 which we put on the top, then multiply 5 by 11 to get 55, subtract 55 by 64 to get 9 and because now there's no more numbers in the sum, 9 is our remainder.
Hope this helps you, please mark me as brainliest!
what is the answer for 28*1/2 without any example
Answer:
14
Step-by-step explanation:
28 times 1/2 is the same as 28 divided by 2. 28 divided by 2 is equal to 14. Therefore, 28 times 1/2 is equal to 14.
If this has helped you please mark as brainliest
Answer:
14
Step-by-step explanation:
28÷1/2 or 28÷.5 =14
14+14=28
Find x if the average of 19, 12, 14, 18, and x is 12.
Answer:
-3
Step-by-step explanation:
To do this, let's arrange it into an equation:
(19+12+14+18+x) / 5 = 12
Let's shift the 5 to the other side by multiplying 12 by 5, which is 60. Now the equation looks like this:
19+12+14+18 + x = 60
Now let's add 19, 12, 14 and 18 together, which is 63:
63 + x =60
Let's move the 63 over to the other side by subtracting it from 60, so 60-63 equals -3. Hence, the answer is -3. Hope this helps!
Which statements about the end behavior of f (x) = StartFraction x squared + 1 Over x minus 1 EndFraction are true? Check all that apply. Limit of StartFraction x squared + 1 Over x minus 1 EndFraction as x approaches infinity = limit of StartFraction 1 Over x EndFraction as x approaches infinity Limit of StartFraction 1 Over x EndFraction as x approaches infinity = infinity The end behavior of the function is that as x →∞, y →∞. According to the leading terms, the limit of the function is 1 as x approaches ∞. The function does not have a horizontal asymptote.
Answer:
The end behavior of the function is that as x →∞, y →∞.
The function does not have a horizontal asymptote.
Step-by-step explanation:
Got it right on Edge.
Answer:
a,b,c
Step-by-step explanation: right on slide 4 of e2020
a triangle with area 28 square inches has a height that is twi less than four times the base. find the base and the height if the tringle?
Answer:
b = 4 inches and h = 14 inches
Step-by-step explanation:
Given that,
The area of a triangle, A = 28 sq inches
Height is twice less than 4 times the base.
H = 4b-2, b is base
We know that,
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\28=\dfrac{1}{2}\times b\times (4b-2)\\\\56=4b^2-2b\\\\28=2b^2-b\\\\b=4\ inches,-3.5\ inches[/tex]
Base = 4 inches
Height = 4(4)-2
= 14 inches
Hence, this is the required solution.
2x + 2 y = -2
3x - 2y = 12
Answer:
x=2 and y=-6 aka. (2,-6) which is the point of intersection
Step-by-step explanation:
Use elimination to cancel out y by adding the equations:
5x=10
x=2
Plug x=2 into one of the equations and find y:
2(5)+2y=-2
10+2y=-2
2y=-12
y=-6
Therefore, x=2 and y=-6
Find the 2nd term in expansion of (4-2x)⁴ Show steps
[tex]\huge\mathfrak\pink{Answer}[/tex]
(4 - 2x) ²
[tex]\bold{(4-2x)^{4} }[/tex]
[tex]\bold{[(4-2x)^{2}]^{2} }[/tex]
[tex]\bold{(4-2x)^{2}(4-2x)^{2} }[/tex]
which table shows data with variability?
Answer:
the table should show the data
PlZ, HELP ME, PLZZZZZZZZZZZZZZZZZZ!!!!!!!
1/5 (2x+1)-1/10(2x-1)
!!!!!!!!!
Thanks!!!!!! You Humans are Genius'
Answer:
x=
37
17
Step-by-step explanation:
A farmer wants to divide his 2700 km2 of land into two separate pastures for his new horses by building a fence that will enclose both pastures. He wants one pasture to be twice the size as the other. What should the dimensions of the larger pasture be if he wants to use the least amount of fencing?
Answer:
Step-by-step explanation:
just a guess, it seems like you are asked about only dimensions of the big one, isnt that just 2/3 of 2700 km2. that is 1800km2 which = 60 km x 20km.
Answer:
All kinds of questions since you don't describe the enclosures.
Do the two fields have the same width?
Are there two disjointed fields with the same width and one length twice the other?
If they are joined by a common width, is that common width included in the total perimeter?
I guess this is d answer=60km×30km
solve the equation 20.5 = x + 4
Answer:
16.5
Step-by-step explanation:
20.5 = x + 4
16.5 = x
x = 16.5
Answer:
x = 16.5
Step-by-step explanation:
20.5 = x + 4
20.5 - 4 = x + 4-4
Find the sector are. Round your answer to the nearest tenth.
A. 254.5 m2
B. 93.5 m2
C. 848.2 m2
D. 14.1 m2
im almost sure its a ............