Both the top and bottom numbers would have the same scale (ratio) in order to be a proportion.
Find the scale of the top numbers:
18/12 = 1.5
The top numbers have a scale of 1.5 so the bottom numbers also have a scale of 1.5
Multiply the known bottom number by the scale:
M = 34 x 1.5 = 51
Step-by-step explanation:
[tex] \frac{12}{34} = \frac{18}{m} \\ cross \: multiply \\ 12m = 612 \\ m = \frac{612}{12} \\ m = 51[/tex]
Explain what circumference and area have in common
and how they are different.
Answer:
They both have pie in the formula
Step-by-step explanation:
Answer:
Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.
At which value in the domain does f(x) = 0?
2
2
4
Answer:
4
Step-by-step explanation:
brainlest e answ eeeeee
Answer:
1/4
Step-by-step explanation:
The fraction can be reduced using 3
3/3 = 1
12/3 = 4
3/12 = 1/4
Answer:
1/4
Step-by-step explanation:
factors of 3: 1, 3
factors of 12: 1, 2, 3, 4, 6, 12
GCF is 3
3 / 3 x 12 / 3 =
1 / 4
How many solutions does the equation 2x -1 = x + x -1 have ?
Answer:
Infinite solutions
Step-by-step explanation:
2x -1 = x + x -1
2x=x+x
2x=2x
Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent.
Answer:
4% of the tested population scored higher than Randy on the test
Step-by-step explanation:
P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%
Therefore, about 4% of the tested population scored higher than Randy on the test.
Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a candidate is not trustworthy. How likely is the result above to happen, if the sample is representative of the population?
Answer:
Prob = 0.00009 = 0.009% , Less Likely
Step-by-step explanation:
Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r) .
,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3 r = no. of success = 116
Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%
Less probability means Less Likely
PLS HELP WILL ONLY GIVE BRAINLY IF STEPS ARE INCLUDED
(2x-2)(2x-2)(2x-2)
Answer:
8^3−24^2+24−8
Step-by-step explanation:
If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 6.4
Step-by-step explanation:
3. Find the lateral surface area of the figure
below.
No links please I really need an answer
Answer:
284 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of triangle = bh/2 = 4(8)/2 = 16
Area of both triangles = 32
Area of left face = bh = 8(12) = 96
Area of right face = bh = 9(12) = 108
Area of bottom = bh = 4(12) = 48
Total lateral area = 32 + 96 + 108 + 48 = 284
HELP please!!!!!!!!!!!
Answer:
Step-by-step explanation:
help me!!!!!!!!!plzzz
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
Can someone answer this please I don’t understand
Answer:
3x+2x+a=180 degree(being linear pair)
5x+25=180
5x=180-25
x=155/5
x=31
Step-by-step explanation:
the sum of 2 numbers is 65 and the difference is 7
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
My usual workout consists of running 10 laps around a 400 meter track. If I go to a track that is only 250 meters long, how many laps will I need to run to get the same workout?
100 POINT QUESTION!!!
Answer:
16 laps
Step-by-step explanation:
400x10=4000
4000÷250=16
I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus
Answer:
see below
Step-by-step explanation: 5 20 21 02
There are 5 areas to calculate
Top = LW = (20)(17)
Bottom = LW = (20)(15)
Back = LW = (20)(8)
2 Triangular Ends = One square = LW = (8)(15)
Total Surface Area = (20)(17) + (20)(15) + (20)(8) + (8)(15)
= (20)(17 + 15 + 8) + (8)(15)
= (20)(40) + (8)(15)
= 800 + 120
= 920 ft²
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
What is the slope of the line that passes through the points (9, 5) and (21, 1)?
Write your answer in simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 5)
Point (21, 1)
Step 2: Solve for slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1-5}{21-9}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{-4}{12}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{-1}{3}[/tex]9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?
Answer:
1.05
Step-by-step explanation:
Answer: $1.05
Step-by-step explanation:
I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.
Hope This Helps!
Lee Ran 100 meteres in 28.45 seconds. Jackie ran 100 meters in 30.29 seconds. How Much Longer did it take jackie than lee to run 100 meters?
Will Mark Brainliest if someone answer’s ,No Link’s
Answer:
1.84 meters
Step-by-step explanation:
Jackie: 30.29 meters - Lee: 28.45 meters = 1.84 meters
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
Rhombus
Square
Step-by-step explanation:
Given
Attached quadrilateral
Required
Select the type(s) of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Also:
[tex]DE = EF =FG = GD[/tex]
Since all 4 sides are equal, then it is neither a parallelogram nor a trapezoid
Hence, the shape is either a rhombus or a square
PART 1:
In the diagram below, ΔRST is a right triangle, write the equation you would use to solve for side RT. (For example, cos20 = 13/x )
PART 2:
Using the equation you wrote above, solve for side RT and round your answer to the nearest tenth.
Answer:
[tex](a)\ \sin(46) = \frac{8}{RT}[/tex]
[tex](b)\ RT = 11.1[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a): Equation to determine RT
To do this, we apply sine formula
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(46) = \frac{8}{RT}[/tex]
Solving (b): Solve the equation
[tex]\sin(46) = \frac{8}{RT}[/tex]
Make RT the subject
[tex]RT = \frac{8}{\sin(46)}[/tex]
[tex]RT = \frac{8}{0.7193}[/tex]
[tex]RT = 11.1[/tex]
Bob and Lashonda want to find the mean weight of cats at their local pet adoption center. So they each randomly select cats at the shelter and measure the weights.
The results are shown below (in pounds). Use the data to answer the questions.
Bob's sample:
15, 8, 20, 9, 12, 19
Lashonda's sample:
8, 6, 10, 11
(a) What is the sample size for Bob's sample?
(b) What is the sample size for Lashonda's sample?
(c) Suppose you had to choose one sample to estimate the mean.
Which sample is more likely to give a good estimate of the mean?
A: Bob's sample
B: Lashonda's sample
Why?
A: It has the smaller mean.
B: It has the larger mean.
C It has the smaller sample size.
D It has the larger sample size.
Answer:
(a): 6. (b): 4. (c). Bob's sample, as it has a larger sample size.
9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long
What function models the height of the building?
How high is the building if 0 = 38°
(pic included) pls help me
Answer:
A. tan 38° = opposite/adjacent
opposite = (tan 38°)(adjacent)
opposite = (0.31)(17 ft)
opposite = 5.27 ft
B. height is = 5.27 ft
The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet
ModelA mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.
How to find the model?(A) Give the building and is shadow is 17 feet and make θ.
then the relation is tanθ =y/17
So y = 17 tanθ
(B) If the is angle is 38°
then
tan38° =y/17
0.7813 = y/17
y = 13.28 feet
Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.
Learn more about the model here- brainly.com/question/24448358
#SPJ2.
If I made $20 in 4 hours, what is the rate at which I made money?
Answer:
it would be five each hour.
Step-by-step explanation:
Please answer it. I will give brainliest if its correct..
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
If 18 people share a barrel of apples equally,each gets 12 apples.if there had been 6 fewer people,how many apples would each person get ?
Answer:
18 apples
Step-by-step explanation:
If 18 people each get 12 apples, then the total number of apples is 18*12=216.
If there were 6 fewer people, there would 18-6=12 people.
To split the total 216 apples between 12 people, so 216/12=18.
Each person would get 18 apples.
A vehicle owner interested in her vehicle’s fuel economy calculated the gas mileage in miles per gallon (mpg) each time she filled her tank, for several years. Here are the mpg values for a random sample of 20 of these records. Suppose that the standard deviation is known to be σ = 3.5 mpg.
Required:
Find the 95% confidence interval for the mean of gas mileage for this vehicle.
Answer:
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.
The upper end of the interval is the sample mean added to M. So it is S + 1.53.
The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.
Please help me I need to pass this
Answer:
5
-7
36
Step-by-step explanation:
if the center is (5,-7) the first part must look like
(x-5)²+(y+7)²
to find the raidus plug in 5 for x and -1 for y
(5-5)²+(-1+7)²
0²+6²=36
36