Answer:
6 1/3 yards = 19 feet
Step-by-step explanation:
1 yard = 3 feet
So we'll take the number of yards and multiply that by 3
6 yards x 3 feet/yard = 18 feet
for the 1/3 of a yard, you can either ask, "what's 1/3 of 3?" (= 1) or you can multiply 1/3 yard x 3 feet/yard = 1 foot.
Add up the parts, 18 + 1 = 19 feet
find x and y. give answer in insimplified radical form, not decimal.
Finding x,
We will use Pythagoras theorem to determine the value of x:
[tex]9^{2} = {8}^{2} + {x}^{2} \\ 81 = 64 + {x}^{2} \\ 81 - 64 = {x}^{2} \\ {x}^{2} = 17 \\ x = \sqrt{17} [/tex]
Finding y,
We have to determine the angle, at the bottom left of the bigger triangle.
Using sine rule,
[tex] \frac{9}{sin(90)} = \frac{8}{sin(z)} \\ sin(z) = 0.8889 \\ z = {sin}^{ - 1} (0.8889) \\ z = 62.73[/tex]
To find the angle on the smaller triangle,
[tex]a = 90 - 62.73 \\ a = 27.27[/tex]
Finding the missing length of y,
[tex] \frac{ \sqrt{17} }{sin(62.73)} = \frac{m}{sin(27.27)} \\ m = 2[/tex]
So y = 2 + 8, y = 10
A school spent $780,000 in one year to pay all of its teachers and administrators. The school has a total of twenty-four teachers and administrators combined. If teachers make $35,000 per year and administrators make $40,000 per year, how many teachers and how many administrators does the school have?
Answer: Impossible
Step-by-step explanation: Even if 24 people were on the teacher salary, 780,000 still couldn't cover them all.
There are 120 children of whom
9/7are boys. How many are boys?
Arrivals of cars at a gas station follow a Poisson distribution. During a given 5-minute period, one car arrived at the station. Find the probability that it arrived during the last 30 seconds of the 5-minute period g.
Answer:
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
Step-by-step explanation:
The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X \geq x) = \frac{b - x}{b - a}[/tex]
5-minute period
This means that [tex]a = 0, b = 5*60 = 300[/tex]
Find the probability that it arrived during the last 30 seconds of the 5-minute period.
300 - 30 = 270. So
[tex]P(X \geq 270) = \frac{300 - 270}{300 - 0} = 0.9[/tex]
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
help please! which of the following represents two dependent events .
Answer:
i would say A
Step-by-step explanation:
NO LINKS. Find the segment length indicated. Assume that lines which appear to be tangent are tangent. PLEASE SHOW WORK!!
Answer:
? = 9.2
Step-by-step explanation:
The angle between a tangent and radius at the point of contact is 90°
Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5
Using Pythagoras' identity in the right triangle
?² + 6.9² = 11.5²
?² + 47.61 = 132.25 ( subtract 47.61 from both sides )
?² = 84.64 ( take the square root of both sides )
? = [tex]\sqrt{84.64}[/tex] = 9.2
Answer:
Solution given:
BC=BD=6.9 units
AD=4.6units
Now
AB=4.6+6.9=11.5units.
we have
<C=90°[the line from the tangent is perpendicular to the radius of circle]
we know that ∆ABC is a right angled triangle.
hypotenuse [h]=AB=11.5units
base[b]=BC=6.9 units
perpendicular [p]=x units
By using Pythagoras law
h²=p² +b²
11.5²=x²+6.9²
x²=11.5²-6.9²
x²=84.64
x=[tex] \sqrt{86.64} [/tex]=9.2
Sothe segment length indicated is 9.2 units.
HELP PLS HELP PLS HELP PLS HELP PLS
Answer:
Step-by-step explanation:
Surface area of a cube of side-length 0.5m
= 6(0.5)^2 = 6(0.25) = 1.5 sq.m.
Keira rented a car for 3 days. She paid $118 rent
each day. Insurance for the 3 days came to a total of $35. How
much did Keira pay in all? Explain how you found your answer
Answer:
389
Step-by-step explanation:
3*118 + 35
solve the system of equations, -4x+3y= -2
the answer is x=1/2+3y/4
Answer:
x:(1/2,0)
y:(0,-2/3)
this is the points in the graphic
A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears filled with blackboard errors, the total amount in dollarspaid can be approximated by a Gaussian random variableYnwith expected value 40nandand variance 100n. What is the probability that 20exceeds 1000
Answer:
The correct answer is "0.0000039110".
Step-by-step explanation:
The given values are:
[tex]Y_n\rightarrow N(\mu, \sigma^2)[/tex]
[tex]\mu = 40n[/tex]
[tex]\sigma^2=100n[/tex]
[tex]n=20[/tex]
then,
The required probability will be:
= [tex]P(Y_{20}>1000)[/tex]
= [tex]P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )[/tex]
= [tex]P(Z>\frac{1000-800}{44.7214} )[/tex]
= [tex]P(Z>\frac{200}{44.7214} )[/tex]
= [tex]P(Z>4.47)[/tex]
By using the table, we get
= [tex]0.0000039110[/tex]
What transformations were applied to ABCD to obtain A'B'C'D?
Answer:
Step-by-step explanation:
The answer is B; 90°
Option C is the correct transformation to transform ABCD to A'B'C'D'.
What are rotation and translation?Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.
Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.
here, we have,
Rotation
Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.
Vertical Translation
After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.
Horizontal Translation
The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.
Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.
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The cost of 6 pens is $3.60. What would 2 dozen cost?
$14.40. And then you have the tax. :D
Have A Great Day.
The cost of 2 dozen pens will be "$14.4".
Given:
Cost of 6 pens,
$3.60As we know,
1 dozen = 12then,
12 dozen = [tex]12\times 2[/tex]= [tex]24[/tex]
Now,
→ The cost of 1 pen will be:
= [tex]\frac{3.60}{6}[/tex]
= [tex]0.6[/tex] ($)
hence,
→ The cost of 24 pens (2 dozen) will be:
= [tex]0.6\times 24[/tex]
= [tex]14.4[/tex] ($)
Thus the above solution is right.
Learn more:
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Let Y1 denote the weight of a bulk item stocked by a supplier, with a uniform distribution over the interval (0, 1). The random variable Y2 denotes the weight of the item sold and is assumed to have a uniform distribution over the interval (0, y1), where y1 is a specific value of Y1. If the supplier stocked 5 6 ton, what amount in tons could be expected to be sold during the week
Answer:
5/12 ton
Step-by-step explanation:
Y1 ( uniform random variable ) : ( 0, 1 )
Y2 ( uniform distribution ) ; ( 0, y1 )
supplier stocked ; 5/6 ton
Determine the amount of tons expected to be sold
F ( y2 | y1 ) = 1 / y1
E ( y2 | y1 = 5/6 )
The number of tons expected to be sold = 5/12 ton
attached below is the detailed solution
what is 125%of$500.00
Answer:
125 percent
Step-by-step explanation:
25 percent *500.00 =
(25:100)*500.00 =
(25*500.00):100 =
12500:100 = 125
Now we have: 25 percent of 500.00 = 125
Question: What is 25 percent of 500.00?
Percentage solution with steps:
Step 1: Our output value is 500.00.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$500.00=100\%$.
Step 4: Similarly, $x=25\%$.
Step 5: This results in a pair of simple equations:
$500.00=100\%(1)$.
$x=25\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{500.00}{x}=\frac{100\%}{25\%}$
Step 7: Again, the reciprocal of both sides gives
{x}/{500.00}={25}/{100}$
$Rightarrow x=125$
Therefore, $25\%$ of $500.00$ is $125$
Which of the following ordered pairs are solutions to the system of equations below?
(3x + 5y = 14
y = 1/2x + 5)
O (2.4)
0 (-2,4)
O (2,6)
O (-2,6)
Answer:
(- 2, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 5y = 14 → (1)
y = [tex]\frac{1}{2}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)
3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14
3x + [tex]\frac{5}{2}[/tex] x + 25 = 14
[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )
[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 into (2) for corresponding value of y
y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4
solution is (- 2, 4 )
Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs. a. True b. False
Answer:
False.
Step-by-step explanation:
Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.
Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)
Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.
Then the statement:
"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."
Is false.
Order the temperatures for the week from hottest to coldest: 25 degrees, 2 degrees below zero, -16 degrees, and 40 degrees above zero.
A. -2°, -16°, 25°, 40°
B. -16°, -2°, 259, 16°
C. 40°, 25°, -16°, -2°
D. 40°,25°, 2°, -16°
E. 40°, 250, -2°, -16°
Answer:
C. 40,25,-16,-2 Celsius
What is the surface area of the right cone below?
The surface area of the right cone in terms of pi is 176π units².
How to calculate the surface area of a cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The surface area of a cone is expressed as;
Surface area = πrl + πr²
Where r is the radius of the base, l is the slant height of the cone and π is constant pi.
From the diagram:
Radius r = 8 units
Slant height h = 14 units
Surface area =?
Plug the given values into the above formula and solve for surface area:
Surface area = πrl + πr²
Surface area = ( π × 8 × 14 ) + ( π × 8² )
Surface area = ( π × 112 ) + ( π × 64 )
Surface area = 112π + 64π
Surface area = 176π units²
Therefore, the surface area is 176π units².
Option A)176π units² is the correct answer.
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Tell whether one figure is a reflection of the other figure
yes or no
Answer:
No
Step-by-step explanation:
1 4/5 is an example of a (n)
Answer:
Mixed Fraction
Step-by-step explanation:
A mixed fraction is a fraction with a whole number attached to it like 5 1/5 or 3 1/2
[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Properties of Mixed Numbers :
1. It is partly a whole number.
2. It is partly a fraction.
[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.
In [tex]1\frac{4}{5}[/tex] , 2 is the quotient, 4 is the remainder.
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Find the probability that a randomly chosen point in the figure lies in the shaded region. Round your
answer to the nearest hundredth
Please help !
Answer:
0.31
Step-by-step explanation:
the area of shaded region =
(2×½×8×10) = 80
the total area of fig. =
½×(34+18)×10 = 260
the probability = 80/260 = 0.31
What is the area? PLEASE HELP
Answer:
14mm×20mm=280mm²
14mm×12mm/2=84mm²
3.14×10²mm=314mm²
280m²+84mm²+314mm²=678mm²
Answer:
521mm^2
Step-by-step explanation:
First, separate the shapes.
-Half circle= diameter of 20, radius 10
-Rectangle= 14x20
-Triangle= (32-20)x14= 12x14
Then, calculate
Circle equation= (pi)r^2= (pi)(10)^2= 314.16 -> divide by 2 for half circle= 157.1
Rectangle= 14x20=280
Triangle= (12x14)=168 -> Divide by two because it's a triangle= 84
Add 157 + 280 + 84 and you get 521
Solve the system of equations -x-y=-4−x−y=−4 and -2x+4y=4−2x+4y=4 by combining the equations.
9514 1404 393
Answer:
(x, y) = (2, 2)
Step-by-step explanation:
We can put the second equation into standard form by dividing by -2.
x -2y = -2
Adding this to the first equation eliminates x
(x -2y) +(-x -y) = (-2) +(-4)
-3y = -6
y = 2 . . . . . divide by -3
-x -(2) = -4 . . . . substitute for x in the first equation
2 = x . . . . . . . . add 4+x
The solution is (x, y) = (2, 2).
What is Mary's location if she travels 3 units left and 4 units up from (5, 0)?
A - (2, 5)
B - (8, 6)
C - (2, 4)
D - (8, 5)
Answer:
here is the right answer
C- (2,4)
based on the information in the diagram?
Answer:
We can not use ASA property of congruence.
Step-by-step explanation:
In ΔHML and ΔHMK,
HL ≅ HK [Given]
LM ≅ KM [Given]
HM ≅ HM [Reflexive property]
m∠L ≅ m∠K [Given]
ASA property of congruence,
Angle-Side-Angle property of congruence.
False
SSS property of congruence,
Side-Side-Side property of congruence,
True
SAS property of congruence,
Side-Included Angle-Side property of congruence,
True.
Therefore, we can not use ASA property of congruence.
Simplify: (9wº + 4w - 4)+(2w° +6w +9) A 1 1w3 - 2w -13 B 11wº+ 10w +5
Answer:
I believe it’s option c!
Step-by-step explanation:
Correct me if I’m wrong!
How comfortable are you working with sequences?
A. I can find a rule for a sequence and then extend it. I can tell if a sequence is arithmetic, geometric, both, or neither. This comes easily to me.
B. I can find a rule for a sequence and then extend it. I need to use trial and error.
C. I can find and extend simple sequences, but I have trouble with those that are more complex.
D. I am not able to find or extend sequences.
Answer:
I'd recommended saying B, but they are asking YOU! Not us, so please answer this truthfully.
Subtract the sum of 13 and 6 from 40. *
Please help!!!! ASAP!! I’ll give brainliest!!!
Answer:
First column 35
Second column 60
It is 91.6083916% likely that the soil sample contains organic matter
Step-by-step explanation:
700 -655= 35
300 -240= 60
655 +60 = 715
715÷655 = 0.916083916
0.916083916 x 100 = 91.6083916%
Currently, there are 1,460 wolves in Scataway National Park. If the population of wolves is growing at a rate of 6% every year,
which function represents the number of wolves in Scataway National Park in tyears?
OA W0 = 1,460(1.06)
B. WO = 1,460(0.94)
OC M6 = 1,460(0.06)
OD. WO = (1,460)(1.06)
Answer:
[tex]P(t) = 1460(1.06)^t[/tex]
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for a population after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
Currently, there are 1,460 wolves in Scataway National Park.
This means that [tex]P(0) = 1460[/tex]
Growing at a rate of 6% every year:
This means that [tex]r = 0.06[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 1460(1+0.06)^t[/tex]
[tex]P(t) = 1460(1.06)^t[/tex]
Answer:
Step-by-step explanation: