Answer:
0.35
Step-by-step explanation:
Answer:
it is 0.35
Step-by-step explanation:
this is because 35/100= 0.35
Find the range and standard deviation for the set of numbers.
111, 122, 134, 146, 150, 159, 193
Answer:
For this set of numbers, we have a range of 82, a mean of 145, a variance of 618.86 and a standard deviation of 24.88.
Step-by-step explanation:
1. Let's find the range for the set of numbers given:
Don't forget that range is a measure of dispersion and is the difference between the lowest and highest values in this set of numbers.
Range = 193 - 111
Range = 82
2. For calculating the standard deviation, we should calculate first the mean and the variance, this way:
Mean = Sum of all the terms / Number of the terms of the set
Mean = (111 + 122 + 134 + 146 + 150 + 159 + 193)/ 7
Mean = 1,015/7
Mean = 145
Now, we proceed to calculate the variance this way:
Variance= Sum of the squared distances of each term in the set from the mean/ Number of terms of the set or sample
Let's calculate the squared distances of each term in the set from the mean:
111 - 145 = - 34 ⇒ - 34² = 1,156
122 - 145 = - 23 ⇒ - 23² = 529
134 - 145 = - 11 ⇒ - 11² = 121
146 - 145 = 1 ⇒ 1² = 1
150 - 145 = 5 ⇒ 5² = 25
159 - 145 = 14 ⇒ 14² = 196
193 - 145 = 48 ⇒ 48² = 2,304
Now replacing with the real values:
Variance = (1,156 + 529 + 121 1+ 25 + 196 + 2,304)/7
Variance = 4,332/7
Variance = 618.86 (Rounding to two decimal places)
Finally, we can calculate easily the standard deviation:
Standard deviation = √Variance
Standard deviation = √ 618.86
Standard deviation = 24.88 (Rounding to two decimal places)
1. Solve by factoring and using the zero product property. (Diamond &
x2 – 2x – 15 = 0
The factors are: x-5 and x+3
Step-by-step explanation:
Given
[tex]x^2-2x-15 = 0[/tex]
Simplifying
[tex]x^2-5x+3x-15 = 0\\x(x-5) + 3(x-5) = 0\\(x+3)(x-5) = 0[/tex]
Let us define the zero product property first
The zero product property states that
if ab=0 then either a=0 or b=0
So,
[tex]x+3 = 0\\x+3-3 = 0-3\\x = -3\\AND\\x-5 = 0\\x-5+5 = 0+5\\x = 5[/tex]
Hence,
the factors are: x-5 and x+3
Keywords: Factorization, Zero product property
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Which undefined term extends in two ditections without end? Type your answer in the space provided. Type lowercase letters only and do not type spaces in your answer.
a0
Answer:
parallel lines
Answer:
lines
Step-by-step explanation:
Carol buys a house for £234 900
She pays a 10% deposit
Work out the deposit made by carol
Answer:
23,490
Step-by-step explanation:
10% = 0.1
234900 x 0.1 = 23490
Can someone help me plz I really need help on this one plz help and thank you
Answer:
that is too....much? it's n = 5
Step-by-step explanation:
60/12 = 12n/12
5 = n
Togo flew his ultralight plane to a landing field 30 miles away. With the wind, the flight took 3/5 hours. Returning against the wind, the flight took 5/6 hours. Find the rate of the plane in still air and the rate of the wind.
WILL GIVE BRAINLY!!!!!!
PLEASE HELPPPPPP!!!!
Answer:
Step-by-step explanation:
answer is W = 7 and A = 43.
The rate of the plane in still air is 43 miles per hour and the rate of the wind is 7 miles per hour.
Given that, Togo flew his ultralight plane to a landing field 30 miles away.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Let x represent the rate of the plane in still air.
Let y represent the rate of wind.
We know that, Distance = Speed × Time
Speed of flight with wind is x+y miles per hour
Speed of flight against wind is x-y miles per hour
With the wind, the flight took 3/5 hours.
Now, 30=3/5 (x+y)
50=x+y --------(I)
Returning against the wind, the flight took 5/6 hours.
30=5/6 (x-y)
36=x-y --------(II)
Add equation (I) and (II), we get
x+y+x-y=50+36
⇒ 2x=86
⇒ x=43 miles per hour
Substitute x=43 in equation (I), we get
43+y=50
⇒ y=7 miles per hour
Therefore, the rate of the plane in still air is 43 miles per hour and the rate of the wind is 7 miles per hour.
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the sum of one-half t and one third s
Answer:
5/6
Step-by-step explanation:
Add the fractions by finding the common denominator.
1/2 + 1/3
3/6 + 2/6
5/6
AB = 3 + x
DC = 4x
AD = y + 1
BC = 2y
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram by finding the lengths of the opposite side pairs.
A) 4, 2
B) 4, 3
C) 6, 2
D) 6, 3
Answer:
Option A) 4, 2
Step-by-step explanation:
We are given that quadrilateral ABCD is a parallelogram with sides:
[tex]AB = 3 + x\\DC = 4x\\AD = y + 1\\BC = 2y[/tex]
Since the opposite sides of a parallelogram are equal, we can write:
[tex]AB = DC\\AD=BC[/tex]
Equating the sides we get,
[tex]\Rightarrow 3+x = 4x\\4x-x = 3\\3x = 3\\x = 1\\\Rightarrow y + 1 = 2y\\y = 1[/tex]
Putting the values of x and y, we get:
[tex]AB = 3 + x =4\\DC = 4x =4\\AD = y + 1=2\\BC = 2y=2[/tex]
Thus, the lengths of the opposite side pairs is 4,2.
A 9-sided die is rolled. The die's faces are labeled with the numbers 1 through 9, and each number is equally likely to be rolled. Find the probability of rolling an even
number
Final answer:
The probability of rolling an even number on a 9-sided die is 4/9.
Explanation:
To find the probability of rolling an even number on a 9-sided die, we need to determine the number of favorable outcomes (even numbers) and divide it by the total number of possible outcomes.
In this case, there are 4 even numbers on the die: 2, 4, 6, and 8. The total number of possible outcomes is 9 (since there are 9 sides on the die).
Therefore, the probability of rolling an even number is 4/9.
Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Write an inequality to model the number of weeks, x, that he can withdraw $40 to maintain the minimum balance requirement.
Answer:
[tex]1000-40x>400[/tex]
Step-by-step explanation:
Let's call B the balance of Jacob's checking account. Each week he withdraws $40 from his actual balance of $1000, so if x is the number of weeks, the account's balance is
B=1000-40x
The balance must be more than $400, which means
[tex]1000-40x>400[/tex]
That is the inequality to model the situation. If we wanted to know the limit for x, we can solve the inequality. Operating:
[tex]1000-400>40x[/tex]
600>40X
[tex]x<\frac{600}{40}[/tex]
Or x<15
Which means Jacob can withdraw $40 14 times at most to maintain the minimum balance requirement
5xy —9cs (-)-3xy + cs simplify
Answer:
Step-by-step explanation:
2 • (xy - 4cs)
what does x = -6(4x+3) = 6(-4x-3)
Answer:
Infinitely many solutions
Step-by-step explanation:
-6(4x+3)=6(-4x-3)
-24x-18=-24x-18
infinitely many solutions
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthy costs of the two cell phone plans compare where x represents minutes purchased in a month?
The prepaid phone plan will have a steeper line and lower y-intercept.
The contracted phone plan will have the same steepness and a higher y-intercept.
The prepaid phone plan will have a less steep line and the same y-intercept.
The contracted phone plan will have a steeper line and same y-intercept.
Answer:
The prepaid phone plan will have a steeper line and lower y-intercept.
I hope this is right
Step-by-step explanation:
prepaid phone plan y = .20x
contracted phone plan y = .02x + 50
The prepaid and the contracted plans are illustrations of linear functions, where the prepaid phone plan has a steeper line and lower y-intercept.
We have:
Prepaid
[tex]Rate = 0.20[/tex]
[tex]Monthly = 0[/tex]
Contracted
[tex]Monthly = 50[/tex]
[tex]Rate = 0.02[/tex]
For both plans, the cost function (y) is:
[tex]y =Monthly + Rate \times x[/tex]
Where:
[tex]x \to[/tex] Number of minutes
[tex]Rate \to[/tex] Steepness
So, we have:
Prepaid
[tex]y =0 + 0.20 \times x[/tex]
[tex]y =0.20x[/tex]
The y intercept (i.e. when x = 0) is
[tex]y = 0.20 \times 0 = 0[/tex]
The steep of the function is 0.20The y-intercept is 0Contracted
[tex]y = 50 + 0.02 \times x[/tex]
[tex]y = 50 + 0.02x[/tex]
The y intercept is:
[tex]y = 50 + 0.02 \times 0 = 50[/tex]
The steep of the function is 0.02The y-intercept is 50By comparing the steepness and the y-intercepts,
The prepaid plan is steeper (0.20 > 0.02)The prepaid plan has a smaller y-intercept (0 < 50)Hence, (a) is correct
See attachment for the graphs of both plans
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Write 5 over 15 in simplest form.
Answer: 1/3
Step-by-step explanation:
5/15 divided both by 5 is 1/3
ABC has coordinates of A (-8,-8), B (4,-2), and C (2,2). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5
A. A(–5.33, –5.33), B(2.67, –1.33), C(1.33, 1.33)
B. A(–12, –12), B(6, –3), C(3, 3)
C. A(–12, –8), B(6, –2),C(3, 2)
D. A(–8, –8), B(4, –2), C(2, 2)
The coordinates of the image after dilation are
A (-12 , -12) , B (6 , -3) , C (3 , 3) ⇒ answer B
Step-by-step explanation:
A dilation is a transformation that produces an image that is the
same shape as the original, but in a different size
When you dilate a figure, with
The center of dilation is the origin The scale factor of dilation is kThen the coordinates of each point of the figure is multiplied by k
to find the image of the figure after dilation
∵ ABC has coordinates of A (-8 , -8), B (4 , -2), and C (2 , 2)
∵ ABC is dilated by scale factor 1.5
∵ The center of dilation is the origin
- Multiply the coordinates of points A, B, and C by 1.5
∴ The image of point A = (-8 × 1.5 , -8 × 1.5) = (-12 , -12)
∴ The image of point B = (4 × 1.5 , -2 × 1.5) = (-6 , -3)
∴ The image of point C = (2 × 1.5 , 2 × 1.5) = (3 , 3)
The coordinates of the image after dilation are
A (-12 , -12) , B (6 , -3) , C (3 , 3)
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HELP!!!! What is-15=(3x-10)-5x
Answer:
x = 2.5Step-by-step explanation:
[tex]-15=(3x-10)-5x\\\\-15=3x-10-5x\qquad\text{combine like terms}\\\\-15=(3x-5x)-10\\\\-15=-2x-10\qquad\text{add 10 to both sides}\\\\-15+10=-2x-10+10\\\\-5=-2x\qquad\text{divide both sides by (-2)}\\\\\dfrac{-5}{-5}=\dfrac{-2x}{-2}\\\\2.5=x\to x=2.5[/tex]
Answer:
exact form x=5/2 decimal form2.5 mixed number form 2 1/2
Step-by-step explanation:
Which equation represents a line that has a slope of 1/3 and passes through point (–2, 1)?
The equation of the line that has a slope of 1/3 and passes through the point (-2, 1) is y = 1/3x + 5/3.
Explanation:The subject of this question is the representation of a line in the form of an equation, specifically a line that has a slope of 1/3 and passes through a given point, (-2, 1). We can use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Substituting the given values, we have y - 1 = 1/3(x - (-2)). Or simplified to y - 1 = 1/3(x + 2). From here, we can rearrange this into slope-intercept form (y = mx + b) by distributing the 1/3 to x and 2, thus giving us y = 1/3x + 2/3 + 1. Finally, simplifying the equation gives y = 1/3x + 5/3, which is the equation of the line that has a slope of 1/3 and passes through the point (-2, 1).
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-(-7 (to the 3 power) )
It is 343 Or -343?
Thank you
Answer:
343
Step-by-step explanation:
-(-7^3)=-(-7*-7*-7)=-(-343)=343
Answer:
Step-by-step explanation:
-(-7 to the power 3)
=-(-7×-7×-7)= -(-343)
=343
Pls solve q no. 7. I need it urgently. Tomorrow is my exam.
Answer:
The area of the square lawn is [tex]784\ m^2[/tex]
Step-by-step explanation:
Part 7)
Let
x ----> the length side of the square lawn in meters
we know that
The area of the path is equal to
[tex]A=(x+2+2)^2-x^2[/tex]
[tex]A=(x+4)^2-x^2[/tex] ----> equation A
[tex]A=240\ m^2[/tex] ----> equation B
so
[tex]240=(x+4)^2-x^2[/tex]
Solve for x
[tex]240=(x^2+8x+16)-x^2[/tex]
[tex]240=8x+16[/tex]
[tex]8x=240-16[/tex]
[tex]8x=224[/tex]
[tex]x=28\ m[/tex]
The area of the square lawn is
[tex]A=x^2[/tex]
substitute the value of x
[tex]A=28^2=784\ m^2[/tex]
A snail travels 10 cm in 4 minutes. At this rate: How long will it take the snail to travel 24 cm?
It will take the snail 9.6 minutes to travel 24cm.
Step-by-step explanation:
Distance covered in 4 minutes = 10 cm
Ratio of distance to time = 10:4
New distance = 24cm
Let,
x be the time period
Ratio of new distance to time = 24:x
Using proportions;
Ratio of distance to time :: Ratio of new distance to time
[tex]10:4::24:x[/tex]
Product of mean = Product of extreme
[tex]24*4=10*x\\96=10x\\10x=96[/tex]
Dividing both sides by 10
[tex]\frac{10x}{10}=\frac{96}{10}\\x=9.6\ minutes[/tex]
It will take the snail 9.6 minutes to travel 24cm.
Keywords: ratio, proportion
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If 30 percent of a certain number is 240 what is 50 percent the number
Answer:
400
Step-by-step explanation:
0.30 * x = 240
x = 240/0.30 = 800
0.50 * 800 = 400
Answer:
The value of 50 % of number is 400 .
Step-by-step explanation:
Given as :
Let The number be x
According to statement
30 percent of a number is 240
I.e 30 % of x = 240
Or, [tex]\frac{30}{100}[/tex] × x = 240
Or, 0.3 × x = 240
So. x = [tex]\frac{240}{0.3}[/tex]
∴ x = 800
SO, The number is 800 .
Now again 50 percent of that number = y
I.e y = 50 % of x
or, y = 50 % of 800
Or, y = [tex]\frac{50}{100}[/tex] × 800
Or, y = 0.5 × 800
∴ y = 400
Hence The value of 50 % of number is 400 . Answer
16: Simplify V x W x X
Answer:
This over here
Step-by-step explanation:
This over that
Neptune has a gravitational pull 1.2 times that on earth if an object weights 15.3 pounds on earth how much would it weigh on Neptune
Answer:
the object would weigh 18.36
since it is 1.2 times as much you multiply the weight of the object on earth by 1.2 and that's the answer
Step-by-step explanation:
Which value is needed in the expression below to create a perfect square trinomial?
x2+8x+______
Answer:
Step-by-step explanation:
The answer is 16
Point A(2, 2) and point B(4, −3) are located on the grid. Which measurement is closest to the distance between point A and point B in units?
A) 5.2 units
B) 5.4 units
C) 5.6 units
D) 5.8 units
Answer:
b
Step-by-step explanation:
The y-intercept is 4 and the line is parallel to the line whose equation is 6x+y=5
Answer:
[tex]\displaystyle 6x + y = 4[/tex]
Step-by-step explanation:
In the Linear Standard Formula [Ax + By = C], C represents the y-intercept, and since the instructions say "parallel line", you keep your '6' the same, and just alter 5 to 4.
* Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], which was why 6 remained the way it was.
I am joyous to assist you anytime.
A cell phone company surveyed 200 random customers on
whether they were satisfied with their phone service. They
also noted which service plan each customer had.
Is that it on the description? No question of nothing?
Determine the coordinates of the corners of the rectangle to compute the perimeter of the rectangle using the distance formula (round to the nearest integer). A.) 30 units B.) 45 units C.) 50 units D.) 60 units
Answer:
Option B.) 45 units
Step-by-step explanation:
see the attached figure with letter to better understand the problem
step 1
Determine the coordinates of the corners of the rectangle
Let
A(4,5),B(1,8),C(14,21) and D(17,18)
step 2
we know that
The formula to calculate the perimeter of rectangle is equal to
[tex]P=2(AB+BC)[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Find the length side AB
[tex]A(4,5),B(1,8)[/tex]
substitute in the formula
[tex]d=\sqrt{(8-5)^{2}+(1-4)^{2}}[/tex]
[tex]d=\sqrt{(3)^{2}+(-3)^{2}}[/tex]
[tex]d_A_B=\sqrt{18}\ units[/tex]
Find the length side BC
[tex]B(1,8),C(14,21)[/tex]
substitute in the formula
[tex]d=\sqrt{(21-8)^{2}+(14-1)^{2}}[/tex]
[tex]d=\sqrt{(13)^{2}+(13)^{2}}[/tex]
[tex]d_B_C=\sqrt{338}\ units[/tex]
Find the perimeter
[tex]P=2(AB+BC)[/tex]
substitute the values
[tex]P=2(\sqrt{18}+\sqrt{338})[/tex]
[tex]P=45\ units[/tex]
Answer:
B) 45 units
Step-by-step explanation:
D = dx2 + dy2
W = (1-4)2 + (8-5)2
W = (-3)2 + (3)2 = 4.24264
L = (1-14)2 + (8-21)2
L = (-13)2 + (-13)2 = 18.38478
A = 2L+2W = 2(18.38478)+2(4.24264)= 45.3 units
turn 177 divided by 20 into a mixed number
Answer:
8 17/20
Step-by-step explanation:
177/20=8 17/20
Because 8*20=160 and 177-160=17.
Final answer:
To convert 177 divided by 20 into a mixed number, divide 177 by 20. The quotient is the whole number part and the remainder is the fractional part.
Explanation:
To convert 177 divided by 20 into a mixed number, we need to find the quotient and the remainder. The quotient represents the whole number part of the mixed number, while the remainder represents the fractional part.
When we divide 177 by 20, we get a quotient of 8 and a remainder of 17. Therefore, the mixed number representation of 177 divided by 20 is 8 and 17/20.
So, 177 divided by 20 is equal to 8 and 17/20.
Please help lol it’s my hwwwwwwwww
Answer:
8/27 is the solution and the alternative form is 0.296 or 2/3 to the power of 3