Distance from the origin to the points ≈ 0.41.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
Point A (5, 3, 4) and point B (−4, 2, 6) are located away from the origin (0,0,0), and the points from the origin to this points are expressed as OB - OA where;
Let OB is the distance from the origin to the point B
Let OA is the distance from the origin to the point A
Using the formula for calculating the distance between two points;
OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²
OA = √(4-0)²+(3-0)²+(5-0)²
OA = √(16)+(9)+(25)
OA = √50
OA = 7.071
Similarly;
OB = √(6-0)²+(2-0)²+(-4-0)²
OB = √(6)²+(2)²+(-4)²
OB = √36+4+16
OB = √56
OB = 7.4833
Distance from the origin to the points = 7.4833 - 7.071= 0.4123
Distance from the origin to the points ≈ 0.41
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Find y please help !!!
Answer:
20°
Step-by-step explanation:
take the sum of 3y + 10 and y and equal it to 90° that creates an equation making it easier for you to continue
Answer:
Y = 20°let's assume the opposite angle of Y to be X
angle Y = angle X ( vertically opposite angles)
3y + 10 + X + 90° = 180° ( forming linear pair)
3y + X + 100 = 180°
X + 3y = 80° ----(1)
Y + 3y = 80°
4y = 80°
y = 20°
The frequency table below represents the 30 best batting averages for a
semi-pro baseball league. Which ranges of batting averages were least
common among the players?
Batting Average Frequency
1
2
12
14
1
0.320-0.329
0.330 0.339
0.340 0.349
0.350-0.359
0.360-0.369
A. 0.340 0.349 and 0.350 - 0.359
B. 0.330
0.339 and 0.360 - 0.369
C. 0.320
0.329 and 0.330 -0.339
D. 0.320 0.329 and 0.360 -0.369
The ranges of batting averages were least common among the players is 0.320-0.329 and 0.360-0.369 , Option D is the correct answer.
What is meaning of Average ?Average is the middle value of a set of data points , calculated by summing all the data points and then dividing by the number of points.
It is given that , 30 best batting averages for a semi-pro baseball league.
The ranges of batting averages were least common among the players
To find this , it has to be observed that which range has the lowest frequency
The range 0.320-0.329 and 0.360-0.369 has frequency of 1 which is the least among all
Hence Option D is the correct answer.
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an airplane that is flying at an altitude of 30 000 ft is beginning to descend at a rate of 1000 feet per minute. a helicopter is beginning its trip, starting at an altitude of zero feet. the helicopter ascends more slowly than the airplane, going up at a rate of 500 feet per minute. after how many minutes will the airplane and the helicopter be at the same altitude
Based on the altitudes of both the airplane and the helicopter, the number of minutes until they are at the same altitude is 20 minutes.
When will the airplane and helicopter be at the same altitude?Assuming the minute both will be on the same altitude is x, the altitude that the airplane would be at that point is:
= 30,000 - 1,000x
The helicopter's altitude would be:
= 0 + 500x
Putting them together gives:
30,000 - 1,000x = 500x
30,000 = 1,500x
x = 30,000 / 1,500
= 20 minutes
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Which absolute value function defines this graph?
The vertex of the graph is at (-2, 3).
This means the equation is of the form [tex]f(x)=a|x+2|+3[/tex].
Substituting in the coordinates of one of the other points on the graph that is not the vertex, such as (-1, -1),
[tex]-1=a|-1+2|+3\\\\-1=a+3\\\\a=-4[/tex]
So, the equation is [tex]\boxed{f(x)=-4|x+2|+3}[/tex]
21 less than or equal to -3(x-4) less than 30
Answer:
-3(-4-4) would work giving you 24
Step-by-step explanation:
im sorry that qustion doesnt make sense, if you mean higher then 21, less than 30 than -3(-4-4) would work giving you 24
The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 2018. Approximate the mean and standard deviation for age.
Age Lower Limit Upper Limit Number (millions)
25-34 25 34 26200000
35-44 35 44 33800000
45-54 45 54 33100000
55-64 55 64 29600000
Answer:
X=∑fX ∑f , where ¯X is the mean.
Mean = 115/4 = 28.75
Standard deviation = [tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex] n = the number of items = 4
Standard deviation = √28.37/4 = √7.0925 = 2.66317
Step-by-step explanation:
Mean is the number which is obtained by adding the values of all the items of a series and dividing the total by the number of items.
Standard deviation is the square root of the arithmetic mean of the squares of deviations of the items from their mean values
So, Class intervals are given here.
We have to find the middle point of the class interval.
So,
Class interval= 25- 34
Middle point= [tex]\frac{34-25}{2}[/tex]= [tex]\frac{9}{2}= 4.5[/tex]
Let's add 4.5 to the lower interval,
=> 25 + 4.5= 29.5
This is the median point and do the same for the other intervals too
i.e 39.5,49.5 and then 59.5 then multiply the number with the middle point.
So midpoint times the number. So, we get
29.5 * 21.7 = 640.15 & so on we get 129,...
Then add these numbers together. So that becomes 5375.75. And what about the total number here, that is
=>21.7 + 32.8 + 36.8 + 21.7= 118.5
So here,
Mean value, that should be equal to the sum of mean times the number divided by the total number here,
Mean= [tex]\frac{5375.75}{118.5}[/tex] = 45.36
So, this is the mean value.
Standard deviation:
Standard deviation = [tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]
[tex]\sigma[/tex] = population standard deviation
N = the size of the population
[tex]x_{i}[/tex] = each value from the population
[tex]\mu[/tex] = the population mean
So here is what we have to do,
We have to subtract the mean value from the middle point that is,
=>45.36- 21.5 and squared plus 45.36 -39.5 Squared. And plus this is 45.36 -49.5 Squared plus 45.36 -59.5 squared. And then, this is 45.
Let me just inside the apprentices Inside the practices, this is 45 .36 29.5 and take the square of this one And then add another one Which is 45.36 39.5 and then take the square this one too. And plus inside parentheses, this is 45.36 minus Which is 490.5 And then squared. That is 45.36 And -59 0.5 so And then take the square, there's 12 if you just add all of them, so we will get five 47.1184.
So the standard deviation is the square of 547, divided by The total frequency here.
Standard deviation = √28.37/4 = √7.0925 = 2.66317
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8 cm
6 cm
2 cm
Find the surface area of the rectangular prism.
Surface Area = [?]cm²
Answer:
152cm²
Step-by-step explanation:
math and stuff and things
In the past month, Ryan has had five pizzas delivered. He kept a record of how long it took to get the
pizzas: 35 minutes, 25 minutes, 15 minutes, 40 minutes, and 50 minutes.
If the sixth time he orders pizza, it takes 95 minutes, how will this affect his data?
a.) It will have little to no effect on both the mean and the median.
b.) It will have little to no effect on the mean, but it will make the median a less useful measure
of center.
c.) It will make both the mean and the median less useful measures of center.
d.) It will have little to no effect on the median, but it will make the mean a less useful measure
of center.
It will have little to no effect on the median, but it will make the mean a less useful measure of center.
How to determine the effect?The initial data elements are given as:
35, 25, 15, 40, 50
When a new data element is added, we have:
35, 25, 15, 40, 50, 95
See that 95 is far from the other data elements.
This means that 95 is an outlier of the data elements
Outliers have effects on the mean and it renders the mean useless.
However, it has little to no effect on the median
Hence, the true statement is (d)
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Answer:
Step-by-step explanation:
it will have little to no effect on the median but will make the mean a less useful measure of center.
Alex's recipe calls for 1/3 cup of chocolate chips for every 2 cups of flour. If he increases the
amount of flour to 3 cups, how many cups of chocolate chips will he need?
Answer:
1 cup
Step-by-step explanation:
1/3 cup of chocolate chips : 2 cup of flours
So 1/3:2 = x:3
Because we want to find x, the number of how many cups of chocolate chips he needs.
you can cross multiply where you get 1/3·3=2x
which is 1=2x and x=1
Which table has greater constant of proportionality?
The table with greater proportionality is table 3.
What is constant proportionality?The constant of proportionality is the ratio between two directly proportional quantities.
As, the constant proportionality is
k= y/x
For table 1,
k = 1/1 = 2/2 =1
For table 2,
k = 6/1= 12/2 = 2
For table 3,
k = 5/1 = 10/2 = 5
For table 4,
k = 4/1 = 8/2 = 4
Hence, table 3 is with greater proportionality.
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Where does billy bob johns
Answer:
in ur moms house
Step-by-step explanation:
Answer:
he doesn't
Step-by-step explanation:
Using side lengths only, could the triangles be similar?
Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5.
No, StartFraction 0.5 Over 1 EndFraction not-equals StartFraction 1 Over 1.5 EndFraction not-equals StartFraction 1.5 Over 2 EndFraction.
Yes, StartFraction 0.5 Over 1 EndFraction = StartFraction 0.5 Over 1 EndFraction.
Yes, One-half = StartFraction 0.5 Over 1 EndFraction.
Yes, StartFraction 1.5 Over 1 EndFraction = StartFraction 2 Over 1.5 EndFraction.
The triangles are not similar as the ratios are different.
How to depict the triangle?ΔXYZ
XY = 1.5, XZ = 1, ZY = 2
Δ QSR
QR =1, RS = 1.5, SQ = 0.5
Ratios:
XY/SQ = 1.5/0.5
XZ/QR = 1/1
ZY/RS = 2/1.5
The answer is no because ratios are different
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Emma bought 1305 bags of carrot for 16910 dollars. Find the unit rate in terms of bags per dollar.
Answer: $12.96
Given:
1305 bags of carrots purchased
Total cost = $16,910
Step-by-step explanation:
To find the unit cost, divide 16910 by 1305 to find the cost of one bag of carrots:
[tex]\frac{16910}{1305} = 12.96[/tex] (rounded to nearest hundredth)
Evaluate: y(x+x)+3, where x=1 and y=3 A. 3 B. 10 C. 9 D. 5
Answer:
C. 9
Step-by-step explanation:
y(x+x) +3
{x= 1 , y= 3}
Putting values..
3 (1+1) +3
= 3 (2) +3
= 6 + 3
= 9
So, the option C. 9 is the correct answer.
&= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} S = square numbers E = even numbers Complete the Venn diagram. E S D E & = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 } S = square numbers E = even numbers Complete the Venn diagram . E S D E
Answer:
E = [1,2,3,4,5,6,7,8,9,10,11,12]
S = [4,9]
E = [2,4,6,8,10,12]
The number that satisfies both conditions S and E is [4]
A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
The numbers in the Venn diagram are given,
S S∩E E
1,9 4 2, 6, 8, 10, 12
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
&= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = square numbers
This means,
1² = 1
2² = 4
3² = 9
S = {1, 4, 9}
E = even numbers
This means,
E = {2, 4, 6, 8, 10, 12}
Now,
S ∩ E = Numbers that are even and square.
S ∩ E = {4}
Thus,
The numbers in the Venn diagram are given,
S S∩E E
1,9 4 2, 6, 8, 10, 12
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Find the domain and range of the function graphed below. Write your answers in interval notation.
Answer:
Domain: [tex][-3, 1)[/tex]Range: [tex][-5, 4][/tex]Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
find the perimeter: (use 3.14 for pi):
Answer:
10.676 mm
Step-by-step explanation:
The perimeter of a circle (circumference) formula is 2*(3.14)*r. Therefore since r is 1.7, 2*3.14*1.7 = 10.676 mm.
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What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common? Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common. Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞). Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common. Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.
The statement about both functions that is true is:
Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞). What is the domain and range for the function of y = f(x)?The domain of a function is the set of values of input for which the function is valid.
The range is the dependent variable of a set of values for which the function is defined.
Given that:
f(x) = 4 - x
The slope (m) of the function = -1x-intercept = (4,0)y-intercept = (0,4)Domain = [4,∞)For function g(x) = -1 ×[tex]\mathbf{\sqrt{x-4}}[/tex]
The domain = x ≥ 4 and the solution set is [4,∞)The range g(x) = ≤ 0 and the solution set is [-∞, 0)The function g(x) does not have a y-intercept.Therefore, from the given options, the statement about both functions that is true is:
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Answer:
Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).
Step-by-step explanation:
I got it right on the test.
The graph below have the same shape. What is the equation of the red graph
Answer:
G(x)=x³-1
because it intersect at the negative side of y
Answer:
g(x) = x³ - 1
(option C)
Step-by-step explanation:
We know that the shape of the graph has not changed, as stated in the question, meaning that the change has not happened as a direct change to x (like 2x³ instead of x³).
The entire graph has been moved down and not left/right, which would have happened inside the parenthesis (like g(x) = (x³ - 3)).
Because it has been shifted down (as evident by the y-intercept), and we know that the shape has not changed, we know that the original function was shifted down 1 --which can be expressed by the equation g(x) = x³-1
Problem 5. Utility Bills The monthly utility bills in a city are normally distributed and
represented by the variable X, with a mean of $100 and a standard deviation of $12. Find the
probability that a randomly selected utility bill is
(a) less than $70,
(b) between $90 and $120,
(c) more than $140.
(2 points)
(2 points)
(2 points)
Hint: Convert the normal distribution X to Standard normal using Z formula Z =
and then look the Z-values from the table and then find the probability.
X-μ
6
The probabilities in the question are
0.00620.74990.000429How to solve for the probabilitiesa. For x < 70
we have
z< 70 - 100/12
= z < -30/12
= -2.5
Such that p (x<70) = 0.0062
Hence the probability that is is less than $70 = 0.0062
b. between $90 and $120,90 - 100/12. 120 - 100/12
= -0.8333 <z< 1.67
p(90<x<120) = 0.95224 - 0.20234
= 0.7499
0.7499 is the probability of between $90 and $120.
c. more than $140140-100/12
= P(Z>3.3333)
= 0.000429
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A piecewise function is shown here:
f(x) = {-3x +5 if x <2
{1/2x - 4 if 2 < or = to x < or = to 8
{2 if x > 8
Use the piecewise function to find each value given below.
f(0) =
f(-4) =
f(6) =
f(9)=
f(2) =
f(0) = -3(0) + 5 = 5
f(-4) = -3(-4) + 5 = 17
f(6) = ½(6) - 4 = -1
f(9) = 2
f(2) = ½(2) - 4 = -3
Using the restraints, find which equation the f(x) function validates and plug it in.
Trevor uses 2 ounces of almonds in each bag of trail mix he makes
The line on the graph which represents the same relationship between quantities. is line B; y = 2x
Line graphNumber of almonds = 2 ounces
Bags of trail mix = x
Total mix = y
The equation:
y = 2 × x
y = 2x
Complete question:
Trevor uses 2 ounces of almonds in each bag of trail mix he makes.
Bags of Trail Mix Almonds (oz.)
6 Line on the graph represents the same relationship between quantities.
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Toyota manufactures most of the vehicles it sells in the United Kingdom in Japan. The base platform for the Toyota Tundra truck line is ¥1,650,000. The spot rate of the Japanese yen against the British pound has recently moved from ¥197/£ to ¥190/£. How does this change the price of the Tundra to Toyota's British subsidiary in British pounds? Explain.
When the spot rate of the Japanese yen against the British pound moves from ¥197/£ to ¥190/£. This change the price of the Tundra to Toyota's British subsidiary in British pounds by 3.68%.
Prices = 1,650,000
Exchange rates = ¥197/£
Change in exchange rate = ¥190/£
So, here Original price of the Toyota tundra is
= 1,650,000 ÷ 197
= 8375.63
New import price is = 1,650,000 ÷ 190
= 8,684.21
Percentage change in the price of the imported trucks should be
= ( New price - Old price) / old price *100 = (8,684.21 - 8375.63) ÷ 8375.63 = 3.68%
Hence , when the spot rate of the Japanese yen against the British pound moves from ¥197/£ to ¥190/£. This change the price of the Tundra to Toyota's British subsidiary in British pounds by 3.68%.
(This is the percentage change in the Japanese yen as the price of the truck remains unchanged).
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A cake recipe requires 4 and one-half cups of flour to make 1 cake. How many cakes can be made by a baker who has 16 cups of flour?
Answer:
3 cakes
Step-by-step explanation:
just flow by the formula then ignore the remainder and take the whole number which is 3 then that becomes your answer good day.
A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.
A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half.
Each bag of soil covers 20 square yards. How many bags should the farmer purchase?
The farmer should purchase 2 bags of soil for his farm.
What is Area of rectangle?Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
The shape of the farm, according to the picture is a parallelogram. the total area can be calculated as follows:
Area = b X h
where
b = base
h = height
base = 6.5 + 2.5 = 9.0 yards
height = 6 yards
Area = 6 × 9 = 54 square yards.
40 square yards requires 1 bag of soil .
54 square yards will require ?
cross multiply
Bags required = 54 / 40 = 1.35 bag
Thus, the farmer will require 2 bags of soil for his farm.
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three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?
Answer:
200 Bricks
Step-by-step explanation:
1/3 of the bricks were not used(which was 50 bricks), meaning that 3/3 is 150 bricks of the pile. Since 150 is 3/4 of the original pile, that means that there was 200 bricks at the beginning.
Find the area (in square units) of the region under the graph of the function f on the interval [-1,5].
F(X) = 2x+8
Square units: ?
Answer:
So generally, when you're trying to find the area under the curve, you want to integrate the function within the bounds in question, which in this case is 3 and 5. As a result, you get 4e^x - x^2/2. Then you want to subtract this when you put 3 in for x from when you put 5 in for x, such as the following:
(4e^5-25/2) - (4e^3 - 9/2)
When you combine like terms, you end up with the following answer:
4e^5 - 4e^3 - 8 square units
However, you can approximate the answer to 505.31 square units
Big Oil, Inc. has a preferred stock outstanding that pays an $7 annual dividend. If
investors' required rate of return is 10 percent, what is the market value of the shares?
If the required return declines to 6 percent, what is the change in the price of the stock?
The change in the price of the stock is $46.67.
How to calculate the change in price?From the information given, the current price will be:
= Annual dividend / Required rate
= 7/0.1
= $70
The market value of the shares will be:
= 7/6%
= 7/0.06
= $116.67
Therefore, the change in the price of the stock will be:
= $116.67 - $70
= $46.67
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Im stuck on this to could you guys explain how you do this
The required equation of a line is y = -3x- 1
Equation of a lineThe equation of a line in slope-intercept form is expressed as:
y = mx + b
where
m is the slope
b is the y-intercept
Using the coordinate point (0, -1) and (-1, 2)
Slope = 2-(-1)/-1-0
Slope = 3/-1
Slope =-3
Since the line crosses the y-axis at (0, -1), hence the value of b is -1
Determine the equation
y = mx + b
y = -3x + (-1)
y = -3x- 1
Hence the required equation of a line is y = -3x- 1
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6. Five years ago, Ross was N times as old as
Amanda was. If Amanda is now 19 years old,
how old is Ross now in terms of N?
Answer:
14N+5
Step-by-step explanation:
Five years ago; Rose Nx
Amanda x
Now; Rose Nx+5
Amanda x+5=19
x=19-5=14years
Rose(NOW) =14N+5
