Answer:
Let p be the number of pencils.
3(14-p)=30+p
42-3p=30+p
4p=12, p=3.
So Peter ends up with 33 and Tony with 11. 3*11=33, so that confirms that Tony gave Peter 3 pencils.
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 2708 employees at the company and wants to conduct a systematic sample of size 30.A) What is k?B) Determine the indviduals who will be administered the survey.
Answer:
A) 90
B) The individuals in the survey will be 11, 101, 191,...., 2621.
Step-by-step explanation:
Tenemos lo siguiente a partir del enuciado:
A) let, a consider a department has an alphabetical list of all 2708 employees at company and wants to conduct a systematic sample. Substitute the value as:
k = N/n
reemplanzado nos queda:
k = 2708/30 = 90.26
Lo que quiere decir que el valor de k es de aproximadamente 90 B) Randomly select the number between I and 90, Suppose the randomly selected sumber is 11. The individuals in the survey will be; need to find 30th team, hence by using the airthmetic perogression nth term formula:
30th term = 11+ (30 - 1) *90
30th term = 2621
The individuals in the survey will be 11, 101, 191,...., 2621.
The random sample is obtained
PLEASE HELP!!! A LOT OF POINTS AND BRAINLIEST TO CORRECT ANSWERS!!!
1. Find the area of the region enclosed by the graph of [tex]$x^2 + y^2 = 2x - 6y + 6$[/tex].
2. The line [tex]x=4[/tex] is an axis of symmetry of the graph of [tex]$y = ax^2 + bx + c.$[/tex] Find [tex]$\frac{b}{a}$.[/tex].
3. The graph of [tex]$y = ax^2 + bx + c$[/tex] is shown below. Find [tex]$a \cdot b \cdot c$[/tex]. (The distance between the grid lines is one unit, picture of graph attached.)
4. Geometrically speaking, a parabola is defined as the set of points that are the same distance from a given point and a given line. The point is called the focus of the parabola and the line is called the directrix of the parabola. Suppose [tex]$\mathcal{P}$[/tex] is a parabola with focus [tex]$(4,3)$[/tex] and directrix [tex]$y=1$[/tex]. The point [tex]$(8,6)$[/tex] is on [tex]$\mathcal{P}$[/tex] because [tex]$(8,6)$[/tex] is 5 units away from both the focus and the directrix. If we write the equation whose graph is [tex]$\mathcal{P}$[/tex] in the form [tex]$y=ax^2 + bx + c$[/tex], then what is [tex]$a+b+c$[/tex]?
5. (This is a Writing Problem - please please please explain and answer the question thoroughly!) A quadratic of the form [tex]$-2x^2 + bx + c$[/tex] has roots of [tex]$x = 3 + \sqrt{5}$[/tex] and [tex]$x = 3 - \sqrt{5}.$[/tex] The graph of [tex]$y = -2x^2 + bx + c$[/tex] is a parabola. Find the vertex of this parabola.
If you do manage to answer every single one of these correctly, THANK YOU SO MUCH and please know you are very much appreciated! :)
Answer:
1. [tex]Area=16\,\pi=50.265[/tex]
2.- [tex]\frac{b}{a} =-8[/tex]
3. [tex]y=\frac{1}{2} x^2+3x+\frac{5}{2}[/tex]
4. [tex]a+b+c=\frac{17}{4}[/tex]
5. the vertex is located at: (3, 10)
Step-by-step explanation:
1. If we rewrite the formula of the conic given by completing squares, we can find what conic we are dealing with:
[tex](x^2-2x)+(y^2+6y)=6\\\,\,\,\,\,\,+1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+9\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+10\\(x-1)^2+(y+3)^2=16\\(x-1)^2+(y+3)^2=4^2[/tex]
which corresponds to a circle of radius 4, and we know what the formula is for a circle of radius R, then:
[tex]Area=\pi\,R^2=\pi\,4^2=16\,\pi=50.265[/tex]
2.
If x=4 is the axis of symmetry of the parabola
[tex]y=ax^2+bx+c[/tex]
then recall the formula to obtain the position of the x-value of the vertex:
[tex]x_{vertex}=-\frac{b}{2a} \\4=-\frac{b}{2a}\\4\,(-2)=\frac{b}{a} \\\frac{b}{a} =-8[/tex]
3.
From the graph attached, we see that the vertex of the parabola is at the point: (-3, -2) on the plane, so we can write the general formula for a parabola in vertex form:
[tex]y-y_{vertex}=a\,(x-x_{vertex})^2\\y-(-2)=a\,(x-(-3))^2\\y+2=a(x+3)^2[/tex]
and now find the value of the parameter "a" by requesting the parabola to go through another obvious point, let's say the zero given by (-1, 0) at the crossing of the x-axis:
[tex]y+2=a\,(x+3)^2\\0+2=a(-1+3)^2\\2=a\,2^2\\a=\frac{1}{2}[/tex]
So the equation of the parabola becomes:
[tex]y+2=\frac{1}{2} (x+3)^2\\y+2=\frac{1}{2} (x^2+6x+9)\\y+2=\frac{1}{2} x^2+3x+\frac{9}{2} \\y=\frac{1}{2} x^2+3x+\frac{9}{2} -2\\y=\frac{1}{2} x^2+3x+\frac{5}{2}[/tex]
4.
From the location of the focus of the parabola as (4, 3) and the directrix as y=1, we conclude that we have a parabola with dominant vertical axis of symmetry, displaced from the origin of coordinates, and responding to the following type of formula:
[tex](x-h)^2=4\,p\,(y-k)[/tex]
with focus at: [tex](h,k+p)[/tex]
directrix given by the horizontal line [tex]y=k-p[/tex]
and symmetry axis given by the vertical line [tex]x=h[/tex]
Since we are given that the focus is at (4, 3), we know that [tex]h=4[/tex], and that [tex]k+p=3[/tex]
Now given that the directrix is: y = 1, then:
[tex]y=k-p\\1=k-p[/tex]
Now combining both equations with these unknowns:
[tex]k+p=3\\k=3-p[/tex]
[tex]1=k-p\\k=1+p[/tex]
then :
[tex]1+p=3-p\\2p=3-1\\2p=2\\p=1[/tex]
and we now can solve for k:
[tex]k=1+p=1+1=2[/tex]
Then we have the three parameters needed to write the equation for this parabola:
[tex](x-h)^2=4\,p\,(y-k)\\(x-4)^2=4\,(1)\,(y-2)\\x^2-8x+16=4y-8\\4y=x^2-8x+16+8\\4y=x^2-8x+24\\y=\frac{1}{4} x^2-2x+6[/tex]
therefore: [tex]a=\frac{1}{4} , \,\,\,b=-2,\,\,and\,\,\,c=6[/tex]
Then [tex]a+b+c=\frac{17}{4}[/tex]
5.
The vertex of a parabola can easily found because they give you the roots of the quadratic function, which are located equidistant from the symmetry axis. So we know that is one root is at [tex]x=3+\sqrt{5}[/tex]and the other root is at [tex]x=3-\sqrt{5}[/tex]
then the x position of the vertex must be located at x = 3 (equidistant from and in the middle of both solutions. Then we can use the formula for the x of the vertex to find b:
[tex]x_{vertex}=-\frac{b}{2a}\\3=-\frac{b}{2\,(-2)}\\ b=12[/tex]
Now, all we need is to find c, which we can do by using the rest of the quadratic formula for the solutions [tex]x=3+\sqrt{5}[/tex] and [tex]x=3-\sqrt{5}[/tex] :
[tex]x=-\frac{b}{2a} +/-\frac{\sqrt{b^2-4\,a\,c} }{2\,a}[/tex]
Therefore the amount [tex]\frac{\sqrt{b^2-4\,a\,c} }{2\,a}[/tex], should give us [tex]\sqrt{5}[/tex]
which means that:
[tex]\sqrt{5}=\frac{\sqrt{b^2-4\,a\,c} }{2\,a} \\5=\frac{b^2-4ac}{4 a^2} \\5\,(4\,(-2)^2)=(12)^2-4\,(-2)\,c\\80=144+8\,c\\8\,c=80-144\\8\,c=-64\\c=-8[/tex]
Ten the quadratic expression is:
[tex]y=-2x^2+12\,x-8[/tex]
and the y value for the vertex is:
[tex]y=-2(3)^2+12\,(3)-8=-18+36-8=10[/tex]
so the vertex is located at: (3, 10)
If f(x) = 5x – 2 and g(x) = 2x + 1, find (f - g)(x).
A. 3 - 3x
B. 3x-3
C. 7x-1
D. 7x-3
Answer:
The difference of the functions is (f-g)(x) = 3x - 3
Step-by-step explanation:
In the problem, we are asked to find the difference of the two functions, f(x) and g(x). When we see (f-g)(x), this means that we are going to subtract g(x) from f(x).
f(x) = 5x - 2
g(x) = 2x + 1
(f-g)(x) = (5x - 2) - (2x + 1)
Distribute the negative to (2x + 1)
(f-g)(x) = 5x - 2 - 2x - 1
Combine like terms. Make sure your answer is in standard form.
(f-g)(x) = 3x - 3
So, the answer to the equation is (f-g)(x) = 3x - 3
A cat gave birth to 3333 kittens who each had a different mass between 147147147147 and 159 g159\,\text{g}159g159, start text, g, end text. Then, the cat gave birth to a 4th4^{\text{th}}4th4, start superscript, start text, t, h, end text, end superscript kitten with a mass of 57 g57\,\text{g}57g57, start text, g, end text. [Show data] How will the birth of the 4th4^{\text{th}}4th4, start superscript, start text, t, h, end text, end superscript kitten affect the mean and median? Choose 1 answer: Choose 1 answer: (Choice A) A Both the mean and median will decrease, but the median will decrease by more than the mean. (Choice B) B Both the mean and median will decrease, but the mean will decrease by more than the median. (Choice C) C Both the mean and median will increase, but the median will increase by more than the mean. (Choice D) D Both the mean and median will increase, but the mean will increase by more than the median.
Answer:
The correct option is (B).
Step-by-step explanation:
The median (m) is a measure of central tendency. To obtain the median, we assemble the data in arising order. If the data is odd, the median is the mid-value. If the data is even, the median is the arithmetic-mean of the two mid-values.
The mean of a data set is:
[tex]\bar X=\frac{1}{n}\sum\limits^{n}_{x=0}{X}[/tex]
For the three kittens it is provided that the weights are in the range 147 g to 159 g.
So, the mean and median weight for the 3 kittens lies in the middle of this range.
Now a fourth kitten is born, with weight 57 g.
Now the range of the weight of 4 kittens is, 57 g to 159 g.
The mean is going to decrease as one more value is added to the data and the value is the least.
The median will also decrease because now the median will be mean of the 2nd and 3rd values.
But the mean would decrease more than the median because a smaller value is added to the data.
Thus, the correct option is (B).
[tex]5(2x-7)+42-3x=2[/tex]
Answer:
[tex]\displaystyle x=- \frac{5}{7}[/tex]
Step-by-step explanation:
[tex]5(2x-7)+42-3x=2[/tex]
Expand brackets.
[tex]10x-35+42-3x=2[/tex]
Combine like terms.
[tex]10x-3x+42-35=2[/tex]
[tex]7x+7=2[/tex]
Subtract 7 on both sides.
[tex]7x+7-7=2-7[/tex]
[tex]7x=-5[/tex]
Divide both sides by 7.
[tex]\frac{7x}{7} =\frac{-5}{7}[/tex]
[tex]x=- \frac{5}{7}[/tex]
Answer:
[tex] \boxed{\sf x = - \frac{5}{7}} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: x: \\ \sf \implies 5(2x-7)+42-3x=2 \\ \\ \sf 5(2x - 7) = 10x - 35 : \\ \sf \implies \boxed{ \sf 10x - 35} - 3x + 42 = 2 \\ \\ \sf Grouping \: like \: terms, \: 10x - 35 - 3x + 42 = \\ \sf (10x - 3x) + ( - 35 + 42) : \\ \sf \implies \boxed{ \sf (10x - 3x) + ( - 35 + 42)} = 2 \\ \\ \sf 10x - 3x = 7x : \\ \sf \implies \boxed{ \sf 7x} + ( - 35 + 42) = 2 \\ \\ \sf 42 - 35 = 7 : \\ \sf \implies 7x + \boxed{ \sf 7} = 2 \\ \\ \sf Subtract \: 7 \: from \: both \: sides: \\ \sf \implies 7x + (7 - \boxed{ \sf 7}) = 2 - \boxed{ \sf 7} \\ \\ \sf 7 - 7 = 0 : \\ \sf \implies 7x = 2 - 7 \\ \\ \sf 2 - 7 = - 5 : \\ \sf \implies 7x = \boxed{ \sf - 5} \\ \\ \sf Divide \: both \: sides \: of \: 7x = - 5 \: by \: 7: \\ \sf \implies \frac{7x}{7} = \frac{ - 5}{7} \\ \\ \sf \frac{7}{7} = 1 : \\ \\ \sf \implies x = - \frac{5}{7} [/tex]
Write the first four terms in the following sequences. A(n+1)=1/2 A(n) for n≥1 and A(1)=4 .
Answer:
4,2,1 and 1/2
Step-by-step explanation:
The first term is 4 since A(1)=4
● A(2) = (1/2)*A(1) = (1/2)*4 = 2
So the second term is 2
● A(3) = (1/2)*A(2) = (1/2)*2= 1
The third term is 1
●A(4) = (1/2)*A(3) = (1/2) *1 = 1
The function h(x)=12/x-1 is one to one. Algebraically find it’s inverse, h^-1(x).
Answer:
Step-by-step explanation:
hello,
I assume that you mean
[tex]h(x)=\dfrac{12}{x-1}[/tex]
so first of all let's take x real different from 1 , as this is not allowed to divide by 0
[tex](hoh^{-1})(x)=x=h(h^{-1}(x))=\dfrac{12}{h^{-1}(x)-1} \ \ \ so\\h^{-1}(x)-1=\dfrac{12}{x} \\\\h^{-1}(x)=1+\dfrac{12}{x}[/tex]
and this is defined for x real different from 0
hope this helps
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.
Answer:show the table so I can help
Step-by-step explanation:
Which statement is true about the diagram?
If f(x)=8x and g(x)=2x+1, what is (f×g)(x)
Answer:
(f * g)(x) has a final product of 16x² + 8x.
Step-by-step explanation:
When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.
f(x)=8x
g(x)=2x+1
Now, we multiply these terms together.
(8x)(2x + 1)
Use the foil method to multiply.
16x² + 8x
So, the product of these terms is 16x² + 8x.
What is the m ZACB?
10°
50°
90°
180°
Answer:
50 deg
Step-by-step explanation:
In an right triangle, the acute angles are complementary. That means their measures have a sum of 90 deg.
m<C + m<B = 90
7x - 20 + 4x = 90
11x = 110
x = 10
m<ACB= 7x - 20
m<ACB = 7(10) - 20
m<ACB = 70 - 20
m<ACB = 50
Answer: m<ACB = 50 deg
Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to evaluate it when n = 6. Her work is shown below.
Step 1: 3 minus StartFraction n squared Over 9 EndFraction + 8
Step 2: 3 minus StartFraction 6 squared Over 9 EndFraction + 8
Step 3: 3 minus StartFraction 36 Over 9 EndFraction + 8
Step 4: 3 minus 4 + 8
Step 5: 7
In which step did she make an error?
step 1
step 2
step 4
step 5
Answer:
step 1
Step-by-step explanation:
when you say three less than the quotient
you put the quotient first and then subtract 3
Answer: Step 1
Step-by-step explanation: I took it on my quiz and got an 100
W
5. 26.5 liter air dan 8.25 liter jus oren dicampurkan bersama. Semua campuran itu
dibotolkan dengan saiz setiap botol adalah 1.25 liter. Berapa botolkah diperlukan
untuk mengisi semua campuran jus oren tersebut?
A. 25
B. 26
C.27
D. 28
Answer: D, 28 bottles.
Step-by-step explanation:
This can be translated to:
26.5 liters of water and 8.25 liters of orange juice are mixed together. All that mixture is bottled in bottles of 1.25 liters. How many bottles are needed to fill all the orange juice mixture?
the total mass of mixture that we have is:
26.5 L + 8.25 L = 34.75 L.
if we want to divide it into groups of 1.25 L, we have:
N = 34.75/1.25 = 27.8
So we have 27.8 groups of 1.25L this means that we need 27.8 bottles.
But we can not have a 0.8 of a bottle, so we must round it up to 28 bottles.
Then the correct option is D:
Write an equation in point-slope form for each line
Answer: y=x+1
Step-by-step explanation:
y+1=1(x+2)
y+1=x+2
y=x+1
Hope this helps:)
Which feature of a database displays data in a certain sequence, such as alphabetical order? Chart Filter Search Sort
Answer:
data bar
Step-by-step explanation:
Answer:
chart
Step-by-step explanation:
Lee watches TV for 2 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Answer:
$1.08
Step-by-step explanation:
30 days × (2 hrs/day) × (150 W) × (1 kW / 1000 W) × (0.12 $/kWh) = $1.08
Alex is on a boat going to an island twelve miles away for a picnic. The way there, with the current, it takes her 3 hours while the way back, against the current, it takes her 4 hours. What is the speed of her boat and what is the speed of the current?
Answer:
the boat is going at 3.5 mph and the current is going at .5 mph
Step-by-step explanation:
How can this fact family model help us compare the
numbers shown? You can use the number line to help
you complete each statement.
The sum of 3 and 7 is
10 is
bigger than 3
bigger than 7
10 is
7
Answer:
The sum of 3 and 7 is - 1010 is - bigger than 77 - bigger than 3Step-by-step explanation:
Hope it helps.
Answer:
The sum of 3 and 7 is ( 10 ).10 is ( 7 ) bigger than 3.10 is ( 3 ) bigger than 7.
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? (a)Infinitely many solutions exist because the two situations describe the same line. (b)Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. (c)No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. (d)Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answer:
The correct answer option is: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
How do you calculate the y-intercept of a line written in Standard Form?
Answer:
y-int = C/B
Step-by-step explanation:
Ax + By = C
y-int = C/B
Answer:
I hope this helps.
Step-by-step explanation:
10
55:46
Which graph represents a line with a slope of - and a y-intercept equal to that of the line y =
-2/3x-2
Two functions are graphed on the coordinate plane.
Which represents where f(x) = g(x)?
10
ger
8
f(4) = g(4) and f(0) = g(0)
f(-4) = g(4) and f(0) = g(0)
f(4) = 9(-2) and f(4) = g(4)
f(0) = g(4) and f(4) = g(-2)
6
to 54 -3 -2 -12
1 2 3 4 5 6 X
o)
-8
-124
Answer:
f(4) = g(4) and f(0) = g(0)
Step-by-step explanation:
In order for f(x) = g(x), the value of x must be the same in both functions:
f(4) = g(4) . . . corresponds to x=4
f(0) = g(0) . . . corresponds to x=0
The graph is not shown here, so we cannot say if these are the appropriate solutions. We can only say that the other choices are not.
f(x) = g(x) if ...
f(4) = g(4) and f(0) = g(0)
__
Something like f(0) = g(4) is useless for finding solutions to f(x) = g(x).
Provide an appropriate response.
In a recent survey, 72% of the community favored building a health center in their neighborhood. If 14 citizens
are chosen, find the probability that exactly 10 of them favor the building of the health center.
0.001
0.714
0.720
0.230
Answer:
0.230
Step-by-step explanation:
Given
Estimate = 72%
Number of citizens = 14
Required
Find the probability that exactly 10 of the citizens will be in favor
This question can be solved using binomial expansion of probability which states;
[tex](p + q)^n = ^nC_0 .\ p^n.\ q^{0} + ....+ ^nC_r .\ p^r.\ q^{n-r}+ .. +^nC_n .\ p^0.\ q^{n}[/tex]
Where p and q are the probabilities of those in favor and against of building a health center;
n is the selected sample and r is the sample in favor
So; from the above analysis
[tex]n = 14[/tex]
[tex]r = 10[/tex]
[tex]p = 72\% = 0.72[/tex]
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.72[/tex]
[tex]q = 0.28[/tex]
Since, we're solving for the probability that exactly 10 citizens will be in favor;
we'll make use of
Substituting these values in the formula above
[tex]Probability = ^nC_r .\ p^r.\ q^{n-r}[/tex]
[tex]Probability = ^{14}C_{10} .\ 0.72^{10}.\ 0.28^{14-10}[/tex]
[tex]^{14}C_{10} = 1001[/tex]
So, the expression becomes
[tex]Probability =1001 * \ 0.72^{10}.\ 0.28^{14-10}[/tex]
[tex]Probability =1001 * \ 0.72^{10}.\ 0.28^4[/tex]
[tex]Probability =1001 * 0.03743906242 * 0.00614656[/tex]
[tex]Probability =0.23035156495[/tex]
[tex]Probability =0.230[/tex] ----Approximated
Hence, the probability that exact;y 10 will favor the building of the health center is 0.230
The first four terms of a sequence are shown below 9,5,1,-3
Which of the following functions best defines this sequence?
A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1
B. f(1)=9, f(n+1)=f(n)+4 for n> or equal to 1
C. f(1)=9, f(n+1)=f(n)-5 for n> or equal to 1
D. f(1)=9, f(n+1)=f(n)+5 for n> or equal to 1
Answer:
A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1
Step-by-step explanation:
Given the sequence:
9, 5, 1, -3We can easily calculate the difference of terms:
-3- 1= 1- 5= 5-9= -4As the difference of terms is same and equal to -4, it is the AP (arithmetic progression)
This sequence can be defined In the form of function as:
f(1)= 9, as the first term is 9f(n+1)= f(n)- 4, as it is decreasing function with the difference of -4n ≥ 1, as we count from the first term onAll the above matches the first answer choice:
A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1Need help with this Pythagorean theorem formula. In a right triangle ,find the length not given? c=hypotenuse, a=6,b=8. use radicals as needed
Answer: c = 10
Step-by-step explanation:
Pythagorean Theorem states that in a right triangle [tex]a^2 + b^2 = c^2[/tex], where a and b are the legs of the triangle and c is the hypotenuse. Thus, because a=6 and b=8, 36+64=c². Thus 100=c². Thus 10=c
You have $60. You want to buy a pair of jeans and a shirt. The pair of jeans cost $27.
You come home with $15. How much did you spend on the shirt?
Answer:
$18
Step-by-step explanation:
Buying the jeans for $27 leaves you with ($60 - $27), or $33.
Buying the shirt for s dollar leaves you with $15. To find s, the price of the shirt, you subtract $15 from $33: $18.
The shirt cost you $18.
Q12.
A woman applies for a new job that pays £8.50 a week more (after tax).
She will work 5 days a week and drive to work, as she does in her job now.
The new job is 6 miles further from her house.
Her car travels 8.5 miles per litre of petrol
Petrol costs £1.26 per litre
Will the woman be better off with the new job after she takes the petrol into consideration?
Explain your answer. Include calculations to support your decision.
Decision (yes/no)
8.5x1.295.70
Explanation and supporting calculations
CA
Answer:
Step-by-step explanation:
1l ........8.5 miles
x l .......6 miles
-----------------------
x=6*1/8.5
x=0.70 l
2*0.7=1.4 l petrol/day ( to work and come back home)
5*1.4=7 l/week ( 5 days works in a week)
7*1.26=8.82 L /week
8.82>8.5
The petrol costs more
So the answer is NO
During flu season, there were 124 students out of school on a particular day. If there are 775 students in the school, what percent
of them have the flu
Answ
Step-by-step explanation:
soln,
total number of students =775
present students=124
now,
let the % of students who have flu be x%
here,
x% of 775 is 124
x/100*775=124
775x=12400
x=12400/775
x=16%
So, the% of students is 16%.
There are 775 students in the school and the percentage of students who have flu is 16%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
Given that the total number of students = 775
The number of students present = 124
Let the percentage of students who have flu be x %
As per the given data, the solution would be as:
⇒ x% of 775 = 124
x% is expressed as x/100 in fractional form
⇒ (x/100)(775) = 124
⇒ 775x=12400
⇒ x = 12400/775
⇒ x = 16%
Therefore, the percentage of students who have flu is 16%.
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What percent of this grid is unshaded?
The grid has 10 columns and 10 rows making 100 equal sized squares 5 rows are
unshaded. The sixth row has 6 squares unshaded.
Answer:
56%
Step-by-step explanation:
We have a grid with 10 columns and 10 rows making 100 equal sized squares, they tell us that 5 rows are unshaded. Therefore half is unshaded, like so:
5 rows = 50 squares
They also tell us that the sixth row has 6 squares unshaded, which means that in total they would be:
50 + 6 = 56 squares
Knowing that the total is 100, the percentage would be:
56/100 = 0.56, that is, 56% are unshaded
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute
Answer:
0.05 inches per minute
Step-by-step explanation:
The formula for speed is [tex]Speed=\frac{Distance}{Time}[/tex]
The given distance is 6 inches and the time is 120 minutes. Plug in the components into the formula to solve for speed and reduce:
[tex]Speed=\frac{6}{120}[/tex]
[tex]Speed=\frac{1}{20}[/tex]
1/20 in decimal form is 0.05