Answer:
i. 5 people
ii. Mean number of pets = 2
Step-by-step explanation:
i. From the information given in the question, the number of people surveyed by Edward is 5.
The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.
ii. The mean number of pets is the average number of pets among the people.
The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]
= [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]
= [tex]\frac{10}{5}[/tex]
mean number of pets = 2
The mean number of pets is 2.
A guitar string has a lenght of 0.5 m. If the string is vibrating with a wavelength of 0.25 m, what harmonic is it vibrating at?
1st
4th
Зrd
2nd
Answer:
4th
Step-by-step explanation:
string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.
Sebastian bought 4 basketballs for $37.60 what is the rate price for per basketball?
Answer:
9.40$
Step-by-step explanation:
2 : 9, 12 : , and : 45.
Answer:
Sorry. What's the question?
Answer:
12:6, 9:45
Step-by-step explanation:
Ratios I think you are asking
Plz help me giving brainliest
Answer:
A. 80
Step-by-step explanation:
Count the first top half and you get 40 and you will know the bottom half is 40
which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.
V= l*w*h
V= 5*4*4
V= 80
Hope this Helps! :)
Have a nice day! :)
6) Evaluate 2xy - 5 , for x= -3 and y=4
Your answer
Answer:
answer = -29
Step-by-step explanation:
2*-3*4-5
Answer:
-29
Step-by-step explanation:
=2(-3)(4)-5
=-6(4)-5
=-24-5
=-29
Hope this helps.
X
Pema's bedroom is 18 feet long and 14 feet wide. She drew the plan below to
divide the room into sections. Which shows how to find the area of the Study
Corner?
1) 7 ft + 4 ft = 11 sq ft
11 ft
7 ft
10 ft + 7 ft = 17 sq ft
10 ft
Bed
Study
Corner
1) 10 ft x 7 ft
70 S
sq ft
4 ft Play Area Closet
1) 4 ft x 7 ft = 28 sq ft
70ft is the answer I think
Mhanifa please help! Find the missing side. Round to the nearest tenth
Answer:
12) x = 49.5
13) x = 8.5
14) x = 44.8
15) x = 4.6
Step-by-step explanation:
We can solve for the missing side lengths using trigonometry
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For #12
We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.
That being said we want to create an equation to solve for x
[tex]tan(68)=\frac{x}{20}[/tex]
Now we solve
* multiply each side by 20 *
[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]
we're left with x = 49.5
It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.
For 13)
[tex]tan(62)=\frac{16}{x} \\[/tex]
*multiply each side by x*
[tex]xtan(62)=16[/tex]
*divide each side by tan(62)
[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]
we're left with x = 6.5
For 14)
[tex]tan(15)=\frac{12}{x}[/tex]
multiply each side by x
[tex]xtan(15)=12[/tex]
divide each side by tan15
[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]
we're left with x = 44.8
For 15)
[tex]tan(74)=\frac{16}{x}[/tex]
multiply each side by x
[tex]xtan(74)=16[/tex]
divide each side by tan(74)
[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]
we're left with x = 4.6
Can someone help with work included!!
Answer:
Heather
Step-by-step explanation:
If you use pythagorean theorm you can set up the equations for each girl.
For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.
I need help again. :( plzz help
Answer:
4 white horses.
Step-by-step explanation:
First, you need to find the total of the first set of horses (basically how many total were in the table).
~ 3+2+9+1 = 15
Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.
~ [tex]\frac{3}{15}[/tex] (or [tex]\frac{1}{5}[/tex], simplified)
Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:
~ [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]
The final step is to multiply across (1x20) then divide that number by the 5 to find X.
~ 20÷5 = 4
Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^
One number is 2 more than another number. If the product of the two numbers is 35, what are the numbers? Please show the work
Answer: 5 and 7.
Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.
First I made a list of numbers that when multiplied equal 35
Then I went through the list and took out all the options that were not one number being 2 more than the other.
The only option left is 5 x 7 (5*7)
what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?
The numbers are 5 and 7.
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
let the first number be 'x'
another number = x+2
According to question,
x(x+2)= 35
x²+2x-35=0
x²+7x-5x-35=0
x(x+7)-5(x+7)=0
(x-5)(x+7)=0
x= +5, -7
Hence, the numbers are 5 (x) and 7 (x+2).
Learn more about equation here:
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In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie
Answer:
20
Step-by-step explanation:
In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?
Let x = number correct answers
because school a , gives the same correct and wrong answers, their equation can be represented as :
165 - 5x + 12x =
165 + 7x
School b gives no wrong answer. their equation can be represented as
65 + 12x
to fing the number of correct answers given, equate the two equations
165 + 7x = 65 + 12x
collect like terms
165 - 65 = 12x - 7x
100 = 5x
x = 20
9z - 6+ 7z = 16z - 6
Answer:
z = z
Step-by-step explanation:
first you should combine like terms on the left side of the equation
9z + 7z = 16z
now rewrite
16z-6 = 16z-6
add 6 to both sides
16z = 16z
divide both sides by 16
z = z
Answer:
Both sides are equal. z has no solution. The input is an identity. It is true for all values.
Step-by-step explanation:
9z - 6 + 7z = 16z - 6
16z - 6 = 16z - 6
Both sides are equal. z has no solution. The input is an identity. It is true for all values.
what is the lcm of 5,3 and 5
Answer:
the LCM of those would be 15.
Colette and Tycen made a quarts of lemonade to sell by the cup. Tycen's mother made 5 more cups of lemonade for them to sell. The
equation below can be used to find the number of cups of lemonade, c, they can sell when they make a quarts of lemonade.
C = 40 + 5
What is the greatest number of cups of lemonade Colette and Tycen can sell when q = 3?
Answer:
12 cups
Step-by-step explanation:
1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
Answer: Low
The overlap of data set 1 and data set 2
PLEASE HELP ASAP!! will mark brainlest!
Answer:
1. Axis of Symmetry: x=-4, Vertex: (-4, -6)
2. Axis of Symmetry: x=2, Vertex: (2, 8)
Step-by-step explanation:
Which statement is true about this data set?
{70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
80 is an outlier because it is greater than the upper fence.
This data set has no outliers.
65 and 80 are both outliers because 65 is less than the lower fence and 80 is greater than the upper fence.
65 is an outlier because it is less than the lower fence.
PLS HELP I WILL GIVE Brainliest
Answer:
Option 3 - This data set has no outliers.
Step-by-step explanation:
Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
To find : Which statement is true about this data set?
Solution :
The statements is all about outlier.
So, we find the outlier of the data.
Step 1- Arranging the data from lowest to highest,
{65,66,66,67,68,70,71,72,78,78,80}
Step 2 - Find the median of the data
As the data is odd numbers so the median is th term.
term.
6th term is 70 ⇒ Median =70
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{65,66,66,67,68}
Median of the set is 66
∴
Upper quartile data set is the median of the lower terms from median
{71,72,78,78,80}
Median of the set is 78
∴
Step 4 - To find the interquartile range.
Step 5 - To find the fences for the data set.
The formula to find range is
Substitute the values, we get
The range in which data lies is [48,96]
We have seen that all the data lie inside the range.
Therefore, This data set has no outliers.
Hence, Option 3 is correct.
pls give me brainlist
Examine the expression. 17x - 34 Which is an equivalent expression? O 17*(1 + ) O 17x (1-2) O 17+(1-1) O 17*(1 + 2)
Answer:
17(x-2)
Step-by-step explanation:
Given the expression
17x - 34
We are to factorize it
Get their factors
17x = 17 * x
34 = 17 * 2
Since 17 is common to both factors, hence 17 is the GCF
17x - 34 = 17(x - 2)
Hence the equivalent expression is 17(x-2)
The statement below is a different way to say that the sides of these similar parallelograms are proportional.
Complete the equations that go with the statement.
The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] , [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] , [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Similar figures are those figures whose ratio of the length of sides are proportional.
Similar figures only differ in size, their shape is equal.
The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.
So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.
Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] , [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] , [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].
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Answer:The first one is 16 and the second one is 18
Step-by-step explanation:
Convert 100° to radians. Will mark brainlist if correct
Ok here is the question I need it answered fast I'll give brainliest!
Complete the equation so it will have no solution. 5x - 8 = _ +2
Answer:
5x
Step-by-step explanation:
If the blank were to be occupied with 5x there would be no solutions
Observe...
5x - 8 = 5x + 2
* subtract 5x from each side *
5x - 5x cancels out
5x - 5x cancels out
we're left with -8 = 2
which is not true
Hence if the blank = 5x the equation will have no solution
Find the value of x. 30,45,x,100; The median is 51.
Answer:
49
Step-by-step explanation:
Please help and show work ASAP DUE SPON
Answer:
452.2
Step-by-step explanation:
r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2
Answer:
452.4in³
Step-by-step explanation:
diameter= 12in.
radius= 12÷2
= 6in.
volume= πr²h
=π×6²×4
= π×36×4
= 113.097336×4
= 452.389
≈ 452.4in³
Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP
Answer:
If your doing it on usa tp and have a through e is b and e
Step-by-step explanation:
The two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Given the following data:
Speed = 156 feet per seconds.To convert the value of speed in feet per seconds to kilometers per hour:
What is speed?Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).
Conversion:
1 ft/s = 1.09728 km/hr.
156 ft/s = X km/hr.
Cross-multiplying , we have:
[tex]X=156 \times 1.09728[/tex]
X = 171.1757 km/hr.
Note:
1 feet = 12 inches.
156 feet = [tex]156 \times 12[/tex] = 1872 inches.
Next, we would convert this value to inches per minute:
156 ft/s = [tex]1872 \times 60[/tex] = 112,320 inches per minute.
Therefore, the two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
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Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
What was the ending balance in her account?
O -$51.21
O $8.23
O $8.23
O $51.21
What is the answer?
Answer:
-8.23
Step-by-step explanation:
If Lori had $126.89 in her bank account and she deposited $21.49, she would be adding that to the amount of money in her bank account.
126.89+21.59= 148.48
Then subtract the amount of money the repairs costed.
148.48 - 156.61 = -8.23
Therefore Lori would have a balance of -$8.23.
Answer:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61
126.89+ 21.49=148.38
148.38-156.61=−8.23
the answer is -8.23
A triangle has two sides with lengths 7 and 12 which of the folowing lengths could represent the third side
Answer:
If s₃ is the length of the 3rd side, the possible values are in the interval.
5 < s₃ < 19
Step-by-step explanation:
For a triangle, we know that the sum of any two sides is always larger than the other side.
So if a triangle has 3 sides:
s₁, s₂, and s₃, we have:
s₁ + s₂ > s₃
s₁ + s₃ > s₂
s₂ + s₃ > s₁
In this case, we know that two sides are:
s₁ = 7
s₂ = 12
And we want to find the possible values of s₃.
Then if we use the above inequalities, we get:
7 + 12 > s₃
7 + s₃ > 12
12 + s₃ > 7
With the first one we get:
19 > s₃
Now we can rewrite the other two as:
s₃ > 12 - 7 = 5
s₃ > 7 - 12 = -5
The first one is more restrictive than the second:
s₃ > 5 > -5
So we can use only the first one.
Then the two inequalities are
s₃ > 5
s₃ < 19
Then the range is:
5 < s₃ < 19
This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)
Charlie combined 4quarts of sparkling water with 2 gallons 1 quart of apple juice.Which tells the amount of drink he made?
How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)
Answer:
4 1/2 cups of ice cream
Step-by-step explanation:
since the denominators are the same, we look at the numerator.
2 x 4 = 8 out of 9 cups
An Olympic-size swimming pool is approximately 50 meters long by 25 meters wide. What distance will a swimmer travel if they swim from one corner to the
opposite?
type your answer...
meters
Answer:
56m
Step-by-step explanation:
Diagram:-[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]
Length=50m
Breadth=25m
Diagonal be x
It will form right angle triangle Like below[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]
So
➝x^2=50^2+25^2
➝x=√(50)^2+(25)^2
➝x=√2500+625
➝x=√3125
➝x=55.9m
➝x=56m(approx)