Answer:
$2800[tex]x[/tex]
Step-by-step explanation:
Tuition fee per student = $2800/student
if there are [tex]x[/tex] amount of students, then the total costs of tuition that will be generated will be
([tex]x[/tex] students) x ($2800/student) = $2800[tex]x[/tex]
If for example, there are 200 students in this school, then in this case, [tex]x[/tex] = 200 students.
Total cost = (200 students) x ($2800/student) = $560000.
In simple terms, the cost of [tex]x[/tex] students paying tuition of $2800, is [tex]x[/tex] multiplied by the $2800 tuition for each student which is $2800[tex]x[/tex]
Problem PageQuestion A circle has a radius of . Find the radian measure of the central angle that intercepts an arc of length . Do not round any intermediate computations, and round your answer to the nearest tenth
Answer:
0.1π radStep-by-step explanation:
The question is incomplete. Here is the complete question.
A circle has a radius of 19m . Find the radian measure of the central angle θ that intercepts an arc of length 5m. Do not round any intermediate computations, and round your answer to the nearest tenth.
The formula for calculating the length of an arc [tex]L = \frac{\theta}{360} * 2 \pi r[/tex]
θ is the central angle
r is the radius of the circle = 19m
L is the length of an arc = 5m
Substitute the given values into the formula and get the central angle θ
5 = θ/360 * 2(22/7)*19
5 = θ/2π * 119.4285714
θ/2π = 5/119.4285714
θ/2π = 0.041866
θ = 2π*0.041866
θ = 0.083732π
θ = 0.1π rad (to the nearest tenth)
Hence the radian measure of the central angle that intercepts an arc of length to the nearest tenth is 0.1π rad
The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 10 years. A random sample of 50 cars had an average age of 9.5 years. It is believed that the population standard deviation for the age of cars is 3.4 years. The Department of Transportation would like to set = 0.10. The critical value for this hypothesis test would be ________.
Answer:
0.1492
Step-by-step explanation:
Mean (m) = 9.5
Standard deviation (sd) = 3.4
Number of observations (n) = 50
Computing the test statistic :
X = 10
Z = (x - m) / standard error
Standard Error = sd/sqrt(n)
Z = (x - m) / (sd/sqrt(n))
Z = (10 - 9.5) / (3.4/sqrt(50))
Z = 0.5 / 0.4808326
Z = 1.0398 = 1.04
Using a P-value calculator, we can obtain the critical value with α = 0.10, hence, the critical value = 0.14917
= 0.1492
What number is the opposite of 4? Enter your answer in the box below.
Answer:
-4
Step-by-step explanation:
The only difference between 4 and -4 is that 4 is positive and the other 4 is negative because of “-”.
What is the coefficient of 9(14)P
Answer:
the answer is 126 because 9 times 14 is 126
The mean cost for a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.
What is the value of the variance?
a.) $0.40
b.) $0.10
c.) $0.01
d.) $0.20
Answer:
The correct answer is:
0.01$ (c)
Step-by-step explanation:
Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:
[tex]s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\[/tex]
Variance is a measure of the squared differences from the mean.
Variance is simply the square of the standard deviation. It is mathematically shown as:
[tex]s^2 = \frac{\sum(x - \bar x)}{n} }[/tex]
Now in our example,
Stabnard deviation = $0.10
Variance = (standard deviation)²
Variance = (0.10)²
Variance = $0.01
Answer:
c.) $0.01
Step-by-step explanation:
Got it right.
42 divided by 7 get a decimal answer
Answer:
6
Step-by-step explanation:
just put 6.00 bro it divides evenly
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answer:
x = 12
Step-by-step explanation:
the other explanation might be confusing so here is the answer again to sum it up
Write an equation of a line with slope of that passes through (-6,9) and (1,-8) in point-slope form.
Answer:
[tex]y = - \frac{17}{7} x - 5 \frac{4}{7} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
jane has 16 cards. ten of the cards look exactly the same and have number 1 on them. the other 6 cards look exactly the same and have the number 2 on them. jane is going to make a row contaning all 16 cards. how many different ways can she order the row?
Answer:
8008 ways.
Step-by-step explanation:
That is 16! / 10! 6!
= 16*15*14*13*12*11 / 6*5*4*3*2*1
= 16*15*14*13*11 / 6*5*2
= 16*14*13*11 / 2*2
= 4*14*13*11
= 8008.
Noah buys 3 packages of pens. Each package has 4 blue pens and 2 black pens.
Which equation can be used to find p, the total number of pens?
3 x (4+2) =p
3 X 4 X 2 =p
3+ (4 x 2) =P
3 +4+2 =p
Answer:
A
Step-by-step explanation:
So he bought 3 packages of pens.
And each package has 4 blue and 2 black.
Thus, the equation that can be used to find the total number of pens p is:
[tex]3\times(4+2)=p[/tex]
The (4+2) represents the total number of pens in 1 package. And the 3 represents the total number in 3 packages.
Further notes:
The total number of pens would be 18.
Answer:
3 times (4+2)=p
Step-by-step explanation
this is the answer because it gives us that key word and the key word is each and total and when you solve it the answer would be 18 because always use the parentheses first then add 4+2 and that equals 6 and times 6 with the 3 and that gives 18
I hope this helps you have a wonderful day:)
The following rational equation has denominators that contain variables. for this equation, A. write the value or values of the variable that makes the denominator zero. These are the restrictions on the variable. B.
keeping the restrictions in mind, solve the equation.
3/x+4 + 2/x-4 = 16/(x+4)(x-4)
A. what is/ Are The value our values of the variable that make(s) the denominators zero?
x=
Answer:
A. -4 and 4
B. No solution.
Step-by-step explanation:
The given equation is
[tex]\dfrac{3}{x+4}+\dfrac{2}{x-4}=\dfrac{16}{(x+4)(x-4)}[/tex]
A.
Equate the denominators equal to 0 to find the restrictions on the variable.
[tex]x+4=0\Rightarrow x=-4[/tex]
[tex]x-4=0\Rightarrow x=4[/tex]
Therefore, [tex]x\neq -4,4[/tex].
B.
We have,
[tex]\dfrac{3}{x+4}+\dfrac{2}{x-4}=\dfrac{16}{(x+4)(x-4)}[/tex]
[tex]\dfrac{3(x-4)+2(x+4)}{(x+4)(x-4)}=\dfrac{16}{(x+4)(x-4)}[/tex]
Multiply both sides by (x-4)(x+4).
[tex]3x-12+2x+8=16[/tex]
[tex]5x-4=16[/tex]
Add 4 on both sides.
[tex]5x=16+4[/tex]
[tex]5x=20[/tex]
Divide both sides by 5.
[tex]x=4[/tex]
Here the solution is x=4 but it is the restricted value.
Therefore, the given equation has no solution.
For the given rational equation, we have that:
A. The values of the variable that make(s) the denominators zero are x = -4 and x = 4.B. The equation has no solution.Rational Equation:The rational equation given in this problem is:
[tex]\frac{3}{x + 4} + \frac{2}{x - 4} = \frac{16}{(x + 4)(x - 4)}[/tex]
Then, applying the least common factor:
[tex]\frac{3(x - 4) + 2(x + 4)}{(x + 4)(x - 4)} = \frac{16}{(x + 4)(x - 4)}[/tex]
[tex]\frac{5x - 4}{(x + 4)(x - 4)} - \frac{16}{(x + 4)(x - 4)} = 0[/tex]
[tex]\frac{5x - 20}{(x + 4)(x - 4)} = 0[/tex]
Item a:
The denominator cannot be zero, hence:
[tex](x + 4)(x - 4) \neq 0[/tex]
[tex]x \neq -4[/tex]
[tex]x \neq 4[/tex]
The values of the variable that make(s) the denominators zero are x = -4 and x = 4.
Item b:
[tex]5x - 20 = 0[/tex]
[tex]5x = 20[/tex]
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
However, x = 4 makes the denominator zero, hence the equation has no solution.
You can learn more about rational functions at https://brainly.com/question/13136492
Suppose that you roll two dice and don’t get to look at the outcome. Your friend looksat the outcome and tells you honestly that at least one of the dice came up 6. What isthe probability that the sum of your two dice is 8?
Answer:
2/11
Step-by-step explanation:
We have to calculate this by
p(B nA)/p(A)
= We have A¹ to be that none of the die roll gives us 6
P(A¹) = 5/6²
P(A) = 1 -5/6²
= 11/36
BnA = one die being 6 and summation being equal to 8
= BnA = (6,2)(2,6)
= P(BnA) = 2/36
Therefore we have (2/36)/(11/36)
= 2/11
Given the inequality 2y + 6 > 20 Graph a solution
Answer:
y > 7
Step-by-step explanation:
2y > 20-6
2y > 14
2y/2 > 14/2
y > 7
Answer: y>y (graphing see below)
Step-by-step explanation:
2y+6>20
2y>14
y>7
Hope this helps!! :)
Please let me know if you have any question
find the volume of the shaded figure by subtracting the smaller volume from the larger
Answer:
a. [tex] 9a^3 - 9ab^2 [/tex]
b. [tex] 9a(a^2 - b^2) [/tex]
Step-by-step explanation:
a.
[tex] Volume = l*w*h [/tex]
[tex] Volume_{smaller} = l*w*h [/tex]
Where, [tex] l = 9a, w = b, h = b [/tex]
[tex] Volume_{smaller} = 9a*b*b = 9ab^2 [/tex]
[tex] Volume_{larger} = l*w*h [/tex]
Where, [tex] l = 9a, w = a, h = a [/tex]
[tex] Volume_{smaller} = 9a*a*a = 9a^3 [/tex]
Volume of the shaded figure = [tex] 9a^3 - 9ab^2 [/tex]
b. [tex] 9a^3 - 9ab^2 [/tex] expressed in factored form:
Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.
[tex] 9a^3 - 9ab^2 = 9a(a^2 - b^2) [/tex]
What is the common ratio of the geometric sequence below?
Answer:
The answer is option BStep-by-step explanation:
Since it's a geometric sequence, to find the common ratio divide the previous term by the next term.
That's
[tex] \frac{48}{ - 96} = - \frac{1}{2} [/tex]And also
[tex] \frac{ - 24}{48} = - \frac{1}{2} [/tex][tex] \frac{12}{ - 24} = - \frac{ 1}{2} [/tex]Also
[tex] \frac{ - 6}{12} = - \frac{1}{2} [/tex]Since the common ratio is the same for any of the terms chosen the common ratio of the sequence is
[tex] - \frac{1}{2} [/tex]Hope this helps you
Answer:
B. -1/2
Step-by-step explanation:
The common ratio is the ratio between two numbers next to each other To find the common ratio, divide a term by the preceding term.
For example, if the term is 48, divide by -96.
48/-96 = -1/2
Another example, if the term is -24, divide by 48.
-24/48= -1/2
Let’s try one more example. If the term is 12, divide by -24
12/-24= -1/2
Therefore, the common ratio is 1/2 and the correct answer is B.
Express 125 4 as a power with base 5
Answer:
125^-4
125=5²
125^-4=5^-12
Carl owns a company that washes the windows of office buildings. He recently signed a contract for a large office building and estimates that it would take 2 days for 4 workers to wash the windows. Write an equation to describe the relationship between time (t) and the number of workers (n), which are inversely proportional.
Answer:
t = 8 / n
Step-by-step explanation:
Time (t) and the number of workers (n), which are inversely proportional.
t = k (1/n)
t = k / n
Where,
t= time it will take workers to finish their job
n = number of workers doing the job
k = constant of proportionality
He estimates that it would take 2 days for 4 workers to wash the windows.
t= 2 days
n= 4 workers
t = k / n
2 = k / 4
Cross product
2*4 = k
8 = k
The relationship between time an number of workers is
t = k / n
t = 8 / n
Answer:
Step-by-step explanation:
t= 8/n
Money Eric returned from a trip to Las Vegas with
$300.00, which was 50% more money than he had at the
beginning of the trip. How much money did Eric have at
the beginning of his trip?
Answer:
$200
Step-by-step explanation:
money he has now is 150% of what he had in the beginning
300 = 1.5x
x = 200
if he had $200 in the beginning, you add half of that to itself (200 + 100 = 300)
112 equals 2 times the length minus 5
Answer:
l = 58.5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
112 = 2l - 5
Step 2: Isolate term l by adding 5 on both sides
117 = 2l
Step 3: Isolate l by dividing both sides by 2
117/2 = l
Step 4: Evaluate
l = 58.5
Answer:
[tex]\Large \boxed{l = \frac{117}{2}}[/tex]
Step-by-step explanation:
Let the length be [tex]l[/tex].
[tex]112 = 2 l - 5[/tex]
Adding 5 to both sides.
[tex]112 +5= 2 l - 5+5[/tex]
[tex]117 = 2 l[/tex]
Dividing both sides by 2.
[tex]\displaystyle \frac{117}{2} = \frac{2 l}{2}[/tex]
[tex]\displaystyle \frac{117}{2} = l[/tex]
Which of the following is in order from largest to smallest?
0.4, 151, 1-131
1-131, 0, 4, 151
1-131, 151, 4,0
151.4, 0.1-131
Answer: 151.4, 0.1-131
Step-by-step explanation:
Which of the following is the midpoint of a line segment with endpoints −4 and 7?(1 point) 1.5 0 5.5 −3
Answer:
1.5
Step-by-step explanation:
To find the midpoint, add the two coordinates and divide by 2
( -4+7)/2 =
3/2
1.5
The midpoint is 1.5
Answer:
1.5
Step-by-step explanation:
In this case the midpoint value is the average or mean of -4 and 7:
-4 + 7
--------- = 3/2 or 1.5
2
is 7 to 4 the same as 4 to seven? explain why or why not.
Answer:
The answer is No
Step-by-step explanation:
7 to the fourth is 2401
4 to the seventh is 16384
The table below shows the price in dollars for the number of roses indicated is the price proportional to the number of roses explain in 2 college sentence
Answer:
Price of roses is proportional to the number of roses.
Step-by-step explanation:
Let the price of roses are proportional to the number of roses.
Equation representing this phenomenon will be,
P = k(R) ⇒ k = [tex]\frac{P}{R}[/tex]
where 'P' = price of the roses
R = Number of roses
k = Proportionality constant
If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.
For R = 3 and P = $9
k = [tex]\frac{9}{3}[/tex]
k = 3
For R = 6 and R = 18
k = [tex]\frac{18}{6}[/tex]
k = 3
K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.
PLS HELP BEST ANSWER GETS BRAINLIEST\
A dog needs 4/3 liters of water for 2/5 of a day. How many liters of water does the dog need for an entire day? *
Answer:
A dog needs 4/3 liters of water 2/5 of a day, Therefore
he'll need 4/3 liters for 5/2 day or
4/3 * 5/2 = 20/6 = 10/3 liters or 3 and 1/3 liters per day
Step-by-step explanation:
Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find the z-score corresponding to an observed value of x of 2.
Answer:
[tex]z = 0.228[/tex]
Step-by-step explanation:
Given
x: -3 -1 0 1 1 2 4 4 5
n = 9
Required
Determine the z-score x = 2
z score is calculated by
[tex]z = \frac{x - Mean}{SD}[/tex]
First, we need to calculate the mean
[tex]Mean = \frac{\sum x}{n}[/tex]
Mean = \frac{-3- 1 + 0 + 1 + 1 + 2 + 4 + 4 +5}{n}
[tex]Mean = \frac{13}{9}[/tex]
[tex]Mean = 1.44[/tex]
Next is to calculate the standard deviation
[tex]SD = \frac{\sum (x_i - Mean)^2}{n}[/tex]
[tex]SD =\sqrt{ \frac{(-3-1.44)^2+(-1-1.44)^2+(0-1.44)^2+(1-1.44)^2+(1-1.44)^2+(2-1.44)^2+(4-1.44)^2+(4-1.44)^2+(5-1.44)^2}{9}[/tex][tex]SD =\sqrt{ \frac{(-4.44)^2+(-2.44)^2+(-1.44)^2+(-0.44)^2+(-0.44)^2+(0.56)^2+(2.56)^2+(2.56)^2+(3.56)^2}{9}[/tex]
[tex]SD =\sqrt{ \frac{19.7136+5.9536+2.0736+0.1936+0.1936+0.3136+6.5536+6.5536+12.6736}{9}[/tex]
[tex]SD =\sqrt{ \frac{54.2224}{9}[/tex]
[tex]SD =\sqrt{6.02471111111}[/tex]
[tex]SD = 2.455[/tex]
Substitute these values in
[tex]z = \frac{x - Mean}{SD}[/tex]
Where x = 2
[tex]z = \frac{2 - 1.44}{2.455}[/tex]
[tex]z = \frac{0.56}{2.455}[/tex]
[tex]z = 0.228[/tex]
Hence, the z score of x = 2 is o.228
Bell metal which is a form of bronze is used for casting bells. It is an alloy of copper and tin. To make bell metal requires 17 parts of copper to every 3 parts of tin. (6) (i) Express this requirement as a ratio (ii) Express the amount of tin required as a percentage of the total (iii) If the total amount of tin in a particular casting is 150 kg, find the amount of copper
Answer:
you need 17 parts copper and 3 parts tin in order to make brass
1. ratio of copper with respect to brass: 17:20
ratio of tin with respect to brass: 3:20
ratio of tin with respect to copper: 3:17
2. percentage of tin required in brass: fraction of tin in brass X 100
3/20 X 100 = 15%
3. if we used 150 kg tin in the alloy, then 150 kg is 15 % of the alloy
(from last answer)
150/x X 100 = 15%
x = 1000 kg
if the total brass formed is 1000 kg, and 150 kg of it is tin,
copper used = 1000 - 150 = 850 kg copper
23. Due to an increase in taxes on electronic devices, the price of a 46" LED flat TV screen has increased
to £845, which is 30% increase of the original price.
What was the original price of the TV prior to the increase?
Answer:
£591.5
Step-by-step explanation:
First find the price increase by multiplying the new price by 30 percent . Then subtract the answer from the new price.
The original price of the TV prior to the increase is £650 and this can be determined by using the unitary method.
Given :
The price of a 46" LED flat TV screen has increased to £845, which is 30% increase of the original price.
The following steps can be used in order to determine the original price of the TV prior to the increase:
Step 1 - The unitary method can be used in order to determine the original price of the TV prior to the increase.
Step 2 - According to the given data, the increased price of the TV is £845 which is 130%.
Step 3 - Now, let the original price of the TV be 'x'.
Step 4 - So, the value of 'x' is:
[tex]x = \dfrac{100}{130}\times 845[/tex]
Step 5 - Simplify the above expression.
[tex]x = \dfrac{8450}{13}[/tex]
[tex]x = 650[/tex]
So, the original price of the TV prior to the increase is £650.
For more information, refer to the link given below:
https://brainly.com/question/12116123
If you translate this figure 4 units right and 2 units down, point Q' will be at what coordinate?
(0,3)
(-2,2)
(2,-2)
(0,0)
Solve for the indicated variable in each math formula. 1.C=2(3.14)r for r 2.A=1/2bh for b 3.y=Mx+b for x 4.A=1/2(a+b)h for h 5.V(3.14)r(r)h for h
Answer:
See below
Step-by-step explanation:
1. C = 2(3.14) for r
r = C / 3.28
2. A = 1/2 b h for b
b = A2 / h
3. y = Mx + b for x
y - b = Mx
x = (y - b) / M
4. A = 1/2 (a + b) h for h
A = (1/2a + 1/2b)h
A = 1/2ah + 1/2bh
A = (a + b) h / 2
h = 2A / (a + b)
5. V = (3.14) r² h for h
h = V / (3.14 r²)
Set up and solve an equation for the following business situation. Pitt's Pit Stop sold $15,934.50 worth of gasoline yesterday. Regular sold for $3.30 a gallon and premium sold for $3.45 a gallon. If the station sold 390 more gallons of regular than premium, answer the following questions. (a) How many gallons of each type of gasoline were sold?
Answer:
2,000
Step-by-step explanation:
it is the opposite of what it really was