Answers
Answers:
b) Two way tableb) Categorical variabled) Relative Frequency Tablec) Associationb) The max noise level is 1.5 dB per thousand people===================================
Explanation:
As the name suggests, we have 2 dimensions to the table. Along the left is one variable, and the top is another variable. This helps us lay out all the possible outcomes in a visual organized way. There's not much to talk about here. The name pretty much speaks for itself. Each category is basically like a separate bin or name.Frequency refers to the count of something (eg: 30 people have a hat) while relative frequency is how that count is in relation to the total (eg: 10% of the group has a hat). Relative frequencies can be expressed as fractions, decimal form, or percentage form. It will depend on what your teacher wants.We consider the variables to be dependent if they are linked somehow. For example, if it rains, then its fairly likely the number of accidents on the road increases. The variables "it rains" and "number of accidents" are dependent and associate with each other.The value 1.5 is the slope of the regression line. Note how the line is in the form y = mx+b with m = 1.5; the slope tells us the rate of change. Each time x goes up by 1, the predicted y value goes up by 1.5 decibels. In this context, it means that each time you add 1000 people, the predicted/estimated max noise level will increase by 1.5 dB. For context, a whisper is at about 30 dB, regular talking is about 50 dB, while a jet engine is about 140 dB.Related Questions
A vehicle was purchased for $64,000 when exponential depreciation is appeals at the rate of 18% per year, how much will the vehicle be worth 54 month after the purchased date?
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Answer:
Step-by-step explanation:
The standard form of an exponential function is
[tex]y=a(b)^x[/tex] where y is the value of the car after x years have gone by, a is the initial value of the car and b is the rate of depreciation. For us, that looks like this:
[tex]y=64000(.18)^{4.5[/tex] where 64000 is the initial value of the car, .18 is the depreciation rate, and 4.5 is 54 months in years. Doing the math on that gives us that the value of the car will be $51,840 4.5 years after it's purchased new.
Refer to pictures above real help please
Answers
Answer:
38.7°
Step-by-step explanation:
∆ = Tan-1(opposite/ Adjacent)
=Tan-1(8/10)
= 38.66°
= 38.7° to n nearest tenth
When the square of a number is increased by 24, the result is eleven times the original. Number find the number
Answers
Answer:
the number can be either 8 or 3.
Step-by-step explanation:
Let's define N as the "number"
We know that when the square of this number is increased by 24:
N^2 + 24
we got eleven times the original number, then:
N^2 + 24 = 11*N
We just need to solve this for N
To do it, we first move all the terms to one side of the equation:
N^2 - 11*N + 24 = 0
Now we can use the Bhaskara's formula for the zeros of a quadratic equation:
for a general quadratic equation:
a*x^2 + b*x + c = 0
the roots or zeros are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
We get then:
[tex]N = \frac{-(-11) \pm \sqrt{(-11)^2 - 4*1*24} }{2*1} = \frac{11 \pm 5}{2}[/tex]
So we have two solutions:
N = (11 + 5)/2 = 16/2 = 8
N = (11 - 5)/2 = 6/2 = 3
So the number can be either 8 or 3.
A clothing store purchases T-shirts for
$4.00 each and then marks up the price
of each by 55%. What is the markup and
new price of each T-shirt?
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Answer:
The mark up is $2.20 and the new price of each T-shirt is $6.20.
Step-by-step explanation:
Before we find the new price of each T-shirt we must find the markup (by how much were raising the price).
The problem states each T-shirt costs $4.00, but then marks up the price of each by 55%.
Step 1 would be to find 55% of $4.00.
0.55 * 4 = 2.2
So that is the mark up, the price is going up by $2.20. To find the new price of each T-shirt, you take that $2.20 and add it to the original $4.00.
$4.00 + $2.20 = $6.20
So the mark up is $2.20 and the new price of each T-shirt is $6.20.
Charles is cooking enough lentils for lentil barley soup and lentil salad. The soup recipe calls for 3/4 cup of dried lentils. The salad recipe calls for 1 1/ 2 cups of dried lentils. Jon has a 1/8 -cup scoop. How many scoops of dried lentils will Charles need to have enough for the soup and the salad?
Answers
Answer:
18 scoops is the correct answer
Step-by-step explanation:
3/4 can also be written as 6/8 (multiply both 3 and 4 by 2)
and 1 1/2 is actually 3/2 which can be written as 12/8 (multiply both 3 and 2 by 4)
thus total lentils required is 6/8 + 12/8 = 18/8 cups.
with scoop size 1/8 cup you'll need 18 scoops .
Answer:
18 1/8 scoops
Step-by-step explanation:
Soup:
6 scoops from a 1/8 cup can make a 3/4 cup
Salad:
4 scoops from a 1/8 cup can make a 1/2 cup
If 1/8 means one portion is divided into eight portions, then 8 scoops from a 1/8 cup can make 1 cup.
What does the transformation f(x) --> -f(x) do to the graph of f(x)
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Answer: D) Reflect over x-axis
=======================================================
Explanation:
When we do this type of reflection, a point like (1,2) moves to (1,-2).
As another example, something like (5,-7) moves to (5,7)
The x coordinate stays the same but the y coordinate flips in sign from positive to negative, or vice versa.
We can say that [tex](x,y) \to (x,-y)[/tex] as a general way to represent the transformation. Note how y = f(x), so when we make f(x) negative, then we're really making y negative.
If we apply this transformation to every point on f(x), then it will flip the f(x) curve over the horizontal x axis.
There's an example below in the graph. The point A(2,8) moves to B(2,-8) after applying that reflection rule.
What is the LCM of 7, 14, 28, 42
Answers
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Prim factorize
7 = 7
14 = 7 * 2
28 = 7 * 2 * 2
42 = 7 * 2 * 3
LCM = 7 * 2* 2 * 3 = 84
squareroot of
[tex]12 \frac14[/tex]
Answers
Answer:
7/2
Step-by-step explanation:
12 1/4 is equivalent to the improper fraction 49/4.
The square root of 49/4 is 7/2.
The squareroot of [tex]12 \frac14[/tex] is [tex]3 \frac{1}{2} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{12 \frac{1}{4} } \\ \\ = \sqrt{ \frac{49}{4} } \\ \\ = \sqrt{ \frac{7 \times 7}{2 \times 2} } \\ \\ = \sqrt{ \frac{( {7})^{2} }{( {2})^{2} } } \\ \\= \frac{7}{2} \\ \\ = 3 \frac{1}{2} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
The book wants me to use the Pythagorean Theorem (a^2+b^2=c^2) to get the correct answer. I never learned how to use the theorem when finding distance and have only used Distance Formula. I tried using the Distance Formula to get the correct answer and got a negative outcome. Can someone please explain how Pythagorean Theorem works or maybe tell me how to fix the Distance Formula so it doesn't give me a negative outcome.
Answers
Answer:
C) [tex]\sqrt{106}[/tex] units
Step-by-step explanation:
The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths of a right triangle and [tex]c[/tex] is the hypotenuse, the longest side of the right triangle.
The distance formula is similar to that of the Pythagorean Theorem which is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points that you wish to find the distance between them in an (x,y) coordinate plane.
Here, we are given that [tex](x_1,y_1)[/tex] is [tex]P(-4,-6)[/tex] and [tex](x_2,y_2)[/tex] is [tex]Q(1,3)[/tex]. So, we can use the distance formula as described previously to find the positive distance between the two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(1-(-4))^2+(3-(-6))^2}[/tex]
[tex]d=\sqrt{(1+4)^2+(3+6)^2}[/tex]
[tex]d=\sqrt{(5)^2+(9)^2}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
[tex]d \approx 10.295630141[/tex]
Since all of the given answer choices are in radical form, then C is the correct answer. The distance between the two points is [tex]\sqrt{106}[/tex] units.
The area of the pathway is square, and its area is 196 square cm. Find the length of the pathway.
Answers
Answer:
14 cm
Step-by-step explanation:
Use the formula for the area of a square, a = s², where s is the side length of the square.
Plug in 196 as the area, then solve for s.
a = s²
196 = s²
14 = s
So, the length of the pathway is 14 cm
Which is a solution for the following system of inequalities?pls help :3
(0,5)
(0,-2)
(1,-1)
(0,0)
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Hope this helps !!
cosy/1-siny = 1+siny/cosy
varify using trig identity.
Answers
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]
On the left, we can multiply both layers by (1 + sin(y)):
[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]
Multiply:
[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]
From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:
[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]
Cancel:
[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]
Hence proven.
Which is the rationalized form of the expression. A, B , C, or D?
Answers
Answer:
C
Step-by-step explanation:
Multiply the top and bottom, both by sqrtx-sqrt5. This is in order to rationalize the denominators.
You get answer C.
Your score on a game show is -150. You answer the final question correctly, so you get 400 points. what is your final score?
Answers
Answer:
250
Step-by-step explanation:
-150 + 400 = 250
Final Score= -150 + 400
= 250 --- (Answer)
if a 30 foot wire is attached to the top of a 12 foot pole and stretched to the ground, find the angle the wire makes with the ground
Answers
Answer:
52 degrees
Step-by-step explanation:
Answer:
52 degrees sorry if that's wrong
answer please need belp ???
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180-161=19
So angle 1 is 19 degrees
Solve the following equation for x: 2x^2 - 3 = 47
With explanation plz ion wanna go summer school
Answers
Answer:
Step-by-step explanation:
2x²-3=47
2x²=47+3
x²=50/2=25
x=±√25=±5
Answer:
x = ±5
Step-by-step explanation:
2x^2 - 3 = 47
Add 3 to each side
2x^2 - 3+3 = 47+3
2x^2 = 50
Divide each side by 2
2x^2 = 50/2
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = ±5
Solve the expression for a=12 , b=6 and c=3
Answers
Answer:
50
Step-by-step explanation:
Substitute.
Answer:
320
Step-by-step explanation:
(6 x 3)² - 2(12) ÷ 6
324 - 24 ÷ 6
324 - 4
= 320
Hey! can someone help me find the value of x please??!
Answers
Answer:
I think it´s 2.
Step-by-step explanation:
7(2) = 14
14+5=19
Pretty simple math for me, not sure about you though.
Answer:
x=2
Step-by-step explanation:
since the two angles are equivalent to each other, we also know that the legs of triangle are equal... so we set the legs equal to each other and solve for x...
7x+5=19
subtract five from both sides
7x=14
divide 7 from both sides
x=2
2x + (-x) + 5 + (-5) =
Answers
Answer:
X
Step-by-step explanation:
2x-x=x
5-5=0
Answer:
[tex]2x + (-x) + 5 + (-5) = x[/tex]
Step-by-step explanation :
Remove Parenthesis :
[tex]2x - x + 5 - 5[/tex]
Add similar elements :
[tex]x + 5 - 5[/tex]
Add them up :
[tex]5 - 5 - 0 = x[/tex]
If line ab is tangent to circle c , find AC?
Can anyone help?
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Answer:
Step-by-step explanation:
If AB is tangent to the circle, the AB makes a right angle with the radius BC. That means that triangle ABC is a right triangle and we need Pythagorean's Theorem to find the missing side which is the hypotenuse.
[tex]AC^2=AB^2+BC^2[/tex] and filling in:
[tex]AC^2=14^2+9^2[/tex] and
[tex]AC^2=196+81[/tex] and
[tex]AC^2=277[/tex] so
[tex]AC=\sqrt{277}[/tex] ≈ 16.64
AC = 16.64
The Tangent theorem
"It states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency."
From given diagram,
tangent AB = 14 units
radius BC = 9 units
Using tangent theorem,
AB is perpendicular to BC.
This means ΔABC is right triangle with ∠B = 90°
Using Pythagoras theorem,
[tex]AC^2=AB^2+BC^2[/tex]
⇒ [tex]AC^2=14^{2}+9^{2}[/tex]
⇒ [tex]AC^2=196+81[/tex]
⇒ [tex]AC^2=277[/tex]
⇒ [tex]AC=\sqrt{277}[/tex]
⇒ [tex]AC=16.64[/tex]
Therefore, AC = 16.64
Learn more about tangent to the circle here:
https://brainly.com/question/15279341
#SPJ2
What is the general form of the equation for the given circle?
Answers
Answer:
a circule
Step-by-step explanation:
Someone please help it’s the last question of my final.
Answers
Answer: $46,619
»» 288.44 / 0.7%
»› 41,205
»» 45 x 120.33
»» 5,414
A=41,205
A=5,414
A=46,619
[tex]\color{yellow}{}[/tex]
Answer:
The answer would be $46,619
Step-by-step explanation:
Someone already explained it pretty well, goodluck! :)
2 QUESTIONS
You don't need to answer both of them, but please include answer + explanation for at least one of them
Answers
Answer:
bh + L(S1 + S2 + h)
Step-by-step explanation:
b stands for the bottom edge of the base triangle
h is the height of the base triangle
L is the length of the prism
S1 and S2 are the two edges of the base triangle
bh is the combined area of the two triangular faces
L(S1 + S2 + h) is the area of the three rectangular side faces
Plz help what is the perimeter of the rectangle
Answers
Answer:
18 units
Step-by-step explanation:
The base is 7-4 = 3 units
The height is 8 - 2 = 6 units
P = 2(b+h)
P = 2( 3+6)
P = 2(9)
P = 18
I don't understand math...i probably never will
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Answer:
1/2 9/8
17/12 23/30
81/70 2/3
Step-by-step explanation:
I ordered it the way it appears in the image.
4x=3y+23
4y+3x=-19
solve by substitution. No files pls
Answers
Answer:
x = ⁷/₅
y = ⁻²⁹/₅
Step-by-step explanation:
4x = 3y + 23 (×3)
12x = 9y + 69
4y + 3x = -19
3x = -4y - 19 (×4)
12x = -16y - 76
∴ 9y + 69 = -16y - 76
25y = -145
y = ⁻²⁹/₅
12x = 9(⁻²⁹/₅) + 69
12x = 69 - ²⁶¹/₅
12x = ⁸⁴/₅
x = ⁷/₅
HELP PLEASE
Find 33/4 x 21/3. All answers must be in lowest terms
Answers
[tex] \frac{231}{4} [/tex] ✅
Step-by-step explanation:
[tex] \frac{33}{4} \times \frac{21}{3} \\ = \frac{11 \times 21}{4} \\ = \frac{231}{4} [/tex]
Note:-
A fraction is said to be written in its lowest form if its numerator and denominator are prime, that is, they have no common factors other than 1.[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
The Earth rotates every 24 hr and as diameter of 7, 926 mi. If you're standing on the equator, how fast are you traveling in miles per hour (mph)?
Answers
The more accurate value is 1037.51097384802
Round that however you need to.
=======================================
Explanation:
We need the circumference of the equator. Think of the equator as the largest possible circle (or belt) to fit around the earth.
C = pi*d
C = pi*7926
C = 7926pi
C = 24,900.2633723527
In 24 hours, a person at the equator travels roughly 24,900.2633723527 miles since the earth does a full rotation in this timespan.
Divide the two quantities distance over time to get the speed
rate = distance/time
rate = (24,900.2633723527 miles)/(24 hours)
rate = ( (24,900.2633723527)/(24) ) miles per hour
rate = 1,037.51097384802
rate = 1038 mph
I'm rounding to 4 sig figs since the diameter is given to be in four sig figs.
This speed of roughly 1038 mph is a linear speed and not an angular speed.
-----------------------------
Extra info (optional section)
Upon further research, I found an article from NASA JPL (jet propulsion laboratory) which states quote:
"To make one complete rotation in 24 hours, a point near the equator of the Earth must move at close to 1000 miles per hour (1600 km/hr)"
Their figure of 1000 mph seems to be a rough estimate, more or less. It's fairly close to the 1038 figure we got earlier.
How can you apply the concept of area and perimeter in your everyday life?