Answer:
a)For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
b) [tex] \bar X_{BigAl. Hou}= 15[/tex]
[tex] \bar X_{Trial End Wait}= 15[/tex]
Step-by-step explanation:
Part a
For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
Part b
For this case we can calculate the mean with the following formula:
[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
And replacing we got:
[tex] \bar X_{BigAl. Hou}= 15[/tex]
[tex] \bar X_{Trial End Wait}= 15[/tex]
Order the side lengths of the triangle from shortest to longest.
59°
56°
1659
What is the 10th term 1,
1/2,1/4
Answer:
The 10th term will be:
[tex]a_{10}=\frac{1}{512}[/tex]
Step-by-step explanation:
Considering the sequence
[tex]1,\:\frac{1}{2},\:\frac{1}{4}...[/tex]
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_0\cdot r^{n-1}[/tex]
[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}[/tex]
[tex]\frac{\frac{1}{2}}{1}=\frac{1}{2},\:\quad \frac{\frac{1}{4}}{\frac{1}{2}}=\frac{1}{2}[/tex]
[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]
[tex]r=\frac{1}{2}[/tex]
[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]
[tex]a_1=1[/tex]
[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]
[tex]a_n=\left(\frac{1}{2}\right)^{n-1}[/tex]
Putting n = 10 to determine in the nth term to determine the 10th term
[tex]a_{10}=\left(\frac{1}{2}\right)^{10-1}[/tex]
[tex]a_{10}=\left(\frac{1}{2}\right)^9[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]a_{10}=\frac{1^9}{2^9}[/tex]
[tex]a_{10}=\frac{1}{2^9}[/tex] ∵ [tex]1^9=1[/tex]
[tex]a_{10}=\frac{1}{512}[/tex] ∵ [tex]2^9=512[/tex]
Therefore, the 10th term will be:
[tex]a_{10}=\frac{1}{512}[/tex]
Find, to the nearest degree, the angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long.
Trigonometry
Answer:
Θ = 52°
Step-by-step explanation:
Once you've set up the triangle, you can see that the adjacent side is 170 cm and the opposite side is 220 cm.
tanΘ = [tex]\frac{220}{170}[/tex]
Θ = tan-1 (220/170)
Θ = 52°
The angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long is 37.694°.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
A person 170 cm tall casts of shadow 220 cm long.
Then the angle will be
[tex]\rm tan \theta = \dfrac{Perpendicular }{Base}[/tex]
We have
Perpendicular = 170 cm
Base = 220 cm
Then
[tex]\rm tan \theta = \dfrac{170}{220}\\\\\\ \theta \ \ \ \ = tan^{-1} \dfrac{170}{220}\\\\\\\theta \ \ \ \ = 37.694^o[/tex]
More about the trigonometry link is given below.
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PICTURE SHOWN
Write the equation of the given line in
slope- intercept form
Answer:
y=2x+3
Step-by-step explanation:
Answer:
y = -3x - 1
Step-by-step explanation:
Point Slope Form: (y - y1) = m(x - x1)
Step 1: Find the slope using [tex]\frac{y2 - y1}{x2 - x1}[/tex]
(x1, y1) = (-1, 2)
(x2, y2) = (1, -4)
m = [tex]\frac{-4 - 2}{1 -(-1)}[/tex]
m = [tex]\frac{-6}{1+1}[/tex]
m = [tex]\frac{-6}{2}[/tex]
m = -3
Step 2: Plug into point slope form and solve for y
(y - y1) = m(x - x1)
(y - 2) = -3(x - (-1))
y - 2 = -3(x + 1)
y - 2 + 2 = -3x - 3 + 2
y = -3x - 1
Answer: y = -3x - 1
An art supply store typically sells bottles of green paint for every 9 bottles of aqua paint. How many bottles of aqua paint does it sell when it sells 30 bottles of green paint?
Final answer:
The store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.
Explanation:
To find out how many bottles of aqua paint the store sells when it sells 30 bottles of green paint, we can set up a proportion. Since the store sells 9 bottles of aqua paint for every 1 bottle of green paint, we have the ratio 9/1. We can set this equal to the unknown quantity, x, over 30 (the number of green paint bottles).
9/1 = x/30
Next, cross multiply to solve for x. Cross multiplying gives us:
9 * 30 = 1 * x
Simplifying this equation gives us:
270 = x
Therefore, the store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.
How many tens are in 50,000
Name the property shown by each statement and which is associative or commutation or simply
Answer:
The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.
The Commutative property states that order does not matter. Multiplication and addition are commutative.
hope this helps please mark brainliest!
2. A boy who is 5 feet 6 inches tall casts a shadow that is 8 feet and 3 inches long. What is the measure of the
angle of elevation of the sun, A, as shown in the picture. Round to the nearest degree. Be careful with your
units in this problem.
Answer:
34°
Step-by-step explanation:
The boy is 5 feet 6 inches tall.
The boy casts a shadow that is 8 feet and 3 inches long.
We know 12 inches equal 1 foot.
Therefore the boy's height is 5.5ft and the shadow is 8.25ft.
The angle of elevation of the sun is given by the tangent of the angle A.
[tex] \tan(A) = \frac{5.5}{8.25} [/tex]
[tex]\tan(A) = 0.6667[/tex]
[tex]A= {\tan}^{ - 1} (0.6667)[/tex]
[tex]A=33.69 \degree[/tex]
To nearest degree is 34°
Answer: 34 degrees
Step-by-step explanation:
the boy is 5’6
5x12=60+6=66
The shadow is 8’3
8x12=96+3=99
You would use tan(X)= 5.5/8.25
calculate to get 33.69 round to 34.
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x – 2y = 7
3x – 3y=15
A. Multiply the top equation by 1/3
B. Multiply the top equation by 3 and the bottom equation by 4.
C. Multiply the top equation by-3 and the bottom equation by 2.
D. Multiply the top equation by 15 and the bottom equation by 7.
Answer:
B
Step-by-step explanation:
B produces the term 12x that cancels out after subtraction.
In order to eliminate one variable by subtracting, you should multiply the top equation by -3 and the bottom equation by 2. In doing so, this will make the coefficients of y equal and opposite, allowing this variable to be eliminated when the two equations are added together.
Explanation:The question relates to the method of solving a system of linear equations by subtraction. In order to eliminate one variable when subtracting these equations, we would need to manipulate the equations such that the coefficients of one variable are exact opposites. Hence, the objective is to make the coefficients of y, -2 and -3, opposite each other.
To achieve this, the correct answer is C. Multiply the top equation by -3 and the bottom equation by 2.
By performing these multiplications we'll have:
-12x + 6y = -21.
6x - 6y = 30.
Now, if we add these two equations, we'll be able to eliminate the y variable and can proceed to solve for x.
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what is 2 and 1 4th times 1 and 1 half
Answer:
3 3/8
Step-by-step explanation:
9 yd
12 yd
What is the length of the hypotenuse?
Answer:
Hi there!
The correct answer will be 15 yd
Step-by-step explanation:
There are two ways you can go about solving this problem
Method One: Pythagorean Theorem
a^2 + b^2 = c^2 then all you have to do is plug in the values
(12)^2 + (9)^2 = c^2 you should get c^2 = 225 then you square root both sides and you get c = 15
Method Two: Pythagorean Identities
This triangle represents a 3,4,5 triangle
All the sides just tripled so that means the hypotenuse is 5*3 which equals 15
pLeAsE hElP! HuRrY!
Solve for A:
14a < 112
A.) a < -8
B.) a > 8
C.) a > -8
D.) a < 8
lily can travel 60 miles in 1.5 hours. If her speed is reduced by 5 mph,how har can she travel in 3 hours
Answer:
110
Step-by-step explanation:
Answer:
105 miles
Step-by-step explanation:
first we have to find her speed before it is reduced
so
60/1.5
thats equal to 40
she can travel 40 mph
reduce that by 5 so her speed is now 35mph
35*3=105
−4 5/9+8/9+ 0+0+0+0+0+0+0+0=
Answer:
-3.66666666668
Step-by-step explanation:
The zero's you do not have to add because they have to content or value.
-4 5/9 into improper = 31/9 = -4.55555555556
8/9 = 0.88888888888
ADD
[tex]\left\begin{array}{ccc}-4.55555555556\\+\\0.88888888888\end{array}\right\\---------[/tex]
-3.66666666668
Hope this helps you!
Have a good night! :)
Answer:
-3.66666666668
Step-by-step explanation:
Consider the given statement. At least one gift in the bag is wrapped.
For each statement below, determine whether it is a negation of the given statement is True or False.
At least one gift in the bag is not wrapped.
Not every gift in the bag is wrapped.
Every gift in the bag is wrapped.
None of the gifts in the bag are wrapped.
Answer:
The negation to the given statement "At least one gift in the bag is wrapped - true" is " At least one gift in the bag is not wrapped" - False
At least one gift in the bag is not wrapped - False Not every gift in the bag is wrapped-True Every gift in the bag is wrapped-False None of the gifts in the bag are wrapped-FalseStep-by-step explanation:
Given statement is At least one gift in the bag is wrapped is true
The negation to the given statement is " At least one gift in the bag is not wrapped" - False
To determine whether the statement is a negation of the given statement is True or False :
At least one gift in the bag is not wrapped - False Not every gift in the bag is wrapped-True Every gift in the bag is wrapped-False None of the gifts in the bag are wrapped-Falsethe retail cost of a computer is 22% more than its wholesale cost. what is the whole sale cost?
Answer:5
Step-by-step explanation:
you do it
The distance between two cities on a map is 4 1/2 inches. The actual distance between the two cities is 24 miles.
What is the scale used on the map?
If the scale on a different map of the same area is 1/4 inch = 1 mile, how many inches separate the same two cities?
Answer:
1 inch : 5⅓ miles
6 inches
Step-by-step explanation:
Map : Actual
4½ : 24
1 : 24/4.5
24 ÷ 9/2 = 24 × 2/9 =
1 inch on map represents an actual distance of 16/3 miles in actual
16/3 = 5⅓ miles
Map : Actual
¼ inch : 1 mile
X inch : 24
¼×24 = 6 inches
Answer: 3/16 inches : 1 mile
6 inches
Step-by-step explanation:
[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{4\frac{1}{2}\ inches}{24\ miles}\div\dfrac{24}{24}=\dfrac{\frac{3}{16}}{1}\quad \longrightarrow \quad \large\boxed{\dfrac{3}{16}\ inches:1\ mile}\\[/tex]
[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{\frac{1}{4}\ inches}{1\ mile}=\dfrac{x}{24\ miles}\\\\\\\text{Cross Multiply}:\quad \dfrac{1}{4}\bigg(24\bigg)=x\\\\.\qquad \qquad \qquad \qquad \quad \quad \large\boxed{6=x}[/tex]
Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?
Answer:
C = 6pi units
or
C is approximately 18.84 units
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
The diameter is 6 units
C = 6*pi units
If we approximate pi by 3.14
C = 6*3.14
C = 18.84 units
Helppppppppppppppppppp
Use the quadratic formula to solve the equation
Answer:
=3
=2
Step-by-step explanation:
12−5+6=0
using the Quadratic Formula where
a = 1, b = -5, and c = 6
=−±2−4‾‾‾‾‾‾‾‾√2
=−(−5)±(−5)2−4(1)(6)‾‾‾‾‾‾‾‾‾‾‾‾‾‾√2(1)
=5±25−24‾‾‾‾‾‾‾√2
=5±1‾√2
The discriminant 2−4>0
so, there are two real roots.
Simplify the Radical:
=5±12
=62=42
which becomes
=3
=2
hope this helps :)
U. AD-3
3. One of the acute angles in a right triangle has a measure of 34.6°. What is the measure of the other acute
angle?
a. 145.40
c. 55.4°
b. 34.6°
d. 90°
Solution:
Given that,
One of the acute angles in a right triangle has a measure of 34.6°
The sum of the three angles of a triangle is always 180 degrees.
Also, that the measure of a right angle is always 90 degrees
Let "x" be the other acute angle
Therefore,
x + 90 + 34.6 = 180
x + 124.6 = 180
x = 180 - 124.6
x = 55.4
Thus the measure of other acute angle is 55.4 degrees
Answer:
Yes, what the other person said
Step-by-step explanation: basically you subtract 90.0 - 34.6
Which helps to establish a negative credit history?
O Make payments on or before the due date.
O Never miss a payment.
O Pay Sif the full amount with the first monthly statement.
O Pay less than the minimum amount due.
Answer:
D: Pay less than the minimum amount due.
Step-by-step explanation:
Is 4/6 is farther from 1/2
Answer: Yes
sdizjaoijf
The wholesale price for a pair of shoes is $8.50. A certain department store marks up the wholesale price by 90%. Find the price of the pair of shoes in the department store. Round your answer to the nearest cent, as necessary.
Answer:
$16.15
Step-by-step explanation:
The wholesale price:
$8.50Selling Price:
$8.50 + 90% = $8.50 *1.9 = $16.15Pair of shoes sold for $16.15 in the store
The department store marks up the wholesale price by 90%, equating to $7.65. Adding this to the original wholesale price of $8.50, the retail price of the shoes in the department store is $16.15.
Explanation:To calculate the retail price of the shoes in the department store, we need to add the markup value to the original wholesale price. The markup is 90% of the wholesale price. Therefore, we calculate 90% of $8.50, and then add that to the original price.
To find 90% of $8.50, we multiply $8.50 by 90/100. This gives us $7.65. This is the markup value.
We then add this markup value to the original wholesale price. So, $8.50 + $7.65 = $16.15.
The price of the pair of shoes in the department store is therefore $16.15.
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i need help finding the area of a figure where the rectnagles area is 5 x 14 and the half circles diameter is 6
Answer:
84.14 square units, total
Step-by-step explanation:
Use the formulas for area of the figures you're interested in.
Rectangle Area
A = LW
Circle Area
A = πr^2
__
Your rectangle area will be ...
A = 5 × 14 = 70 . . . . square units
The area of a full circle with diameter 6 (radius = 6/2 = 3) will be ...
A = π × 3^2 = 9π
The area of a semicircle of that size is half that:
semicircle area = 9π/2 = 4.5π
Then the total area of the two figures is ...
70 + 4.5π ≈ 70 +14.14 = 84.14 . . . square units
-4x + 26 = -2 whats x?
Answer:
The value of x is equal to 7
Step-by-step explanation:
if -4x + 26 = -2
-4x = -2 - 26
-4x = - 28
Divide both sides by -4, then we will have
x = -28/-4
x = 7
Steps to solve:
-4x + 26 = -2
~Subtract 26 to both sides
-4x + 26 - 26 = -2 - 26
~Simplify
-4x = -28
~Divide -4 to both sides
-4x/-4 = -28/-4
~Simplify
x = 7
Best of Luck!
Divide using Long division (6x^3-26x-21+x^2) by (-7+3x)
Step-by-step explanation:
Hope it helps you in your learning process.
What is it I really need to know please
Answer:
12
Step-by-step explanation:
Just take 35 and subtract 23.
Fill in the blank to make a true equation. (-9)(___) = 36 A. - 4 B. 4 C. 6 D. - 6
Answer:
Option A, -4
Step-by-step explanation:
Step 1: Make an equation to represent the problem
(-9)(x) = 36
Step 2: Solve for x by dividing both sides by -9
-9x / -9 = 36 / -9
x = -4
Answer: Option A, -4
Write an equivalent expression for x + x + x + 2x + x
Answer:
6x
Step-by-step explanation:
x + x + x + 2x + x
Simplify the equation
4x + 2x
6x
Hope this was useful to you!