9 green marbles are expected in the representative sample.
The expected number of green marbles is 0.27 times the number of orange marbles in the representative sample.
Step-by-step explanation:
Given that,
A bag contains 77 orange marbles and 21 green marbles.A representative sample contains 33 orange marbles and the green marbles not known.So, the expected number of green marbles can be assumed as 'x'.The ratio of orange marbles to green marbles is in proportion to the ratio of orange marbles to green marbles in the representative sample.
To find the value of x :
The proportions are 77/21 = 33/x
Cross multiplying the denominators and keeping x alone on one side,
x = (33 × 21) ÷ 77
x = 693 ÷ 77
x = 9 green marbles.
Therefore, the number of green marbles expected in the representative sample is 9.
To find the how many times the green marbles is to the number of orange marbles in representative sample = 9/33 = 0.27 times.
The green marbles is 0.27 times to orange marbles in the representative sample.
6/8=y/16 how do you find the proportion of value y
do these measurements represent the side lengths of a right triangle 12ft 20ft and 24ft
A. yes
B. No
Answer:
B. No
Step-by-step explanation:
We can test this theory using Pythagorean's theorem:
a² + b² = c²
12² + 20² = 24²
144 + 400 = 576
544 ≠ 576
So you can conclude that this is not a right triangle.
A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon assuming no sales tax is paid on the item? Report your answer to two decimal places. Do not include the dollar sign, $, in the answer box below.
To calculate the original price of a wagon on sale at 20% off, divide the sale price of $114 by 0.80, resulting in the original price of $142.50.
To find the original price of the wagon before the 20% sale, we have to determine what $114 represents after the discount has been applied. If $114 is 80% of the original price (100% - 20% = 80%), we need to find 100% by dividing $114 by 0.80:
Original Price = Sale Price / (1 - Discount Percentage)
Original Price = $114 / 0.80
Original Price = $142.50
So, the original price of the wagon before the sale was $142.50.
Could a right triangle ever be an equilateral triangle?
Answer: An equilateral triangle can NOT be a right triangle.
Step-by-step explanation:
In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees. Therefore, you can't have 3 angles equal 90 degrees.
Answer:
n equilateral triangle can not be a right triangle. ... In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees. Therefore, you can't have 3 angles equal 90 degrees.
Step-by-step explanation:
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Select Statistical or Not statistical to classify each question.
Question Statistical Not statistical
Which radio station does each of my friends prefer?
How far can each radio station broadcast its signal?
Which radio station is located on the west side of town?
Answer:1 yes. 2 yes. 3 no.
Step-by-step explanation:
i did it in the oms
What is the solution to the differential equation dydx=5y2 with the initial condition y(0) = 3?
Differential equation is a way to represents the relation between the functions and their variables. The solution to the differential equation given in the question is,
[tex]y=\dfrac{3}{15x-1}[/tex]
Given-
The equation in the question is,
[tex]{dy\times {dx}=5y^2[/tex]
What is differential equation?Differential equation is a way to represents the relation between the functions and their variables.
Rewrite the equation,
[tex]\dfrac{dy}{5y^2} =dx[/tex]
Integration both sides,
[tex]-\dfrac{1}{5y} =x+c[/tex]
Here, c is the integrating constant.
Now the given initial condition is,
[tex]y(0)=3[/tex]
Use this for the integrated function to find the value of the constant,
[tex]-\dfrac{1}{5\times 3} =c[/tex]
[tex]c=-\dfrac{1}{15}[/tex]
Put this value in equation we get,
[tex]-\dfrac{1}{5y} =x-\dfrac{1}{15}[/tex]
[tex]y=\dfrac{3}{15x-1}[/tex]
Hence the solution to the differential equation given in the question is,[tex]y=\dfrac{3}{15x-1}[/tex]
For more about the differential equation follow the link below-https://brainly.com/question/25731911
To solve the differential equation dy/dx = 5y^2 with the initial condition y(0) = 3, use separation of variables and integration. Substitute the initial condition to find the specific solution.
Explanation:To solve the differential equation dy/dx = 5y^2 with the initial condition y(0) = 3, we can use separation of variables.
First, rewrite the equation as dy/y^2 = 5dx. Integrate both sides: ∫1/y^2 dy = ∫5 dx. This simplifies to -1/y = 5x + C.
Next, apply the initial condition y(0) = 3: -1/3 = 0 + C. Therefore, C = -1/3.
Substitute C back into the equation: -1/y = 5x -1/3. Solve for y: y = -1/(5x -1/3).
Learn more about Solution to a differential equation here:https://brainly.com/question/36023383
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A rectangular prism has a base that is 6 meters by 3.5 meters, and the prism is 9 meters high. What is the surface area of the prism?
Answer:
213 m^2
Step-by-step explanation:
The surface area for a rectangle prism is given by
A=2(wl+hl+hw)
We know the base is 6 meters by 3.5 m so l = 6 and width =3.5
The heigth is 9 m
A = 2 ( 6*3.5 + 9* 6 + 9* 3.5)
= 2 * (21 +54 +31.5)
= 2*(106.5)
=213 m^2
Answer:
213 square meters
Step-by-step explanation:
The surface area for a rectangle prism is given by
A=2(wl+hl+hw)
We know the base is 6 meters by 3.5 m so 6 * 3.5
The height is 9 m
A = 2 ( 6*3.5 + 9* 6 + 9* 3.5)
= 2 * (21 +54 +31.5)
= 2*(106.5)
=213 m^2
what is 0.1 X 9670 equal to?
Answer:
967
Step-by-step explanation:
0.1 x 9670 = 967
Find the lateral area for the pyramid with the equilateral base
A: 144 sq. units
B: 180 sq. units
C: 288 sq. units
Solution:
The given pyramid has 3 lateral triangular side
The figure is attached below
Base of triangle = 12 unit
Find the perpendicular
By Pythagoras theorem
[tex]hypotenuse^2 = opposite^2 + adjacent^2[/tex]
Therefore,
[tex]opposite^2 = 10^2 - 6^2\\\\opposite^2 = 100 - 36\\\\opposite^2 = 64\\\\opposite = 8[/tex]
Find the lateral surface area of 1 triangle
[tex]\text{ Area of 1 lateral triangle } = \frac{1}{2} \times opposite \times base[/tex]
[tex]\text{ Area of 1 lateral triangle } = \frac{1}{2} \times 8 \times 12\\\\\text{ Area of 1 lateral triangle } = 48[/tex]
Thus, lateral surface area of 3 triangle is:
3 x 48 = 144
Thus lateral area for the pyramid with the equilateral base is 144 square units
-5√112 radical expression
Answer:−
-20 √ 7
Step-by-step explanation:
A movie theater charges $9.50 per movie ticket. If there is an average of 79
moviegoers a day, about how much money does the theater make in a week?
O A. $6000
O B. $3000
O C. $600
O D. -$600
Answer:
around $6000 the real answer is $5253.5
Step-by-step explanation:
Graph a line that contains the point (-5,6) and has a slope of 2/3
Answer:
y= 2/3x + 28/3
Step-by-step explanation:
First, write your equation as y=2/3x+b. Plug in your coordinate into the equation, it should look like this: 6=2/3(-5)+b. Multiply 2/3 by -5 to get -10/3. It should look like this: 6= -10/3+b. Add 10/3 to both sides to get your y-intercept of 28/3. Go back to your original equation and plug 28/3 into b. This is your final equation: y= 2/3x + 28/3. Hope this helped!
e:-6=3:9 what is the blank
Answer:
e=-2
Step-by-step explanation:
3*x=9
3*3=9
x=3
e*x=-6
e*3=-6
e=-6/3
e=-2
Evaluate the expression. 33 + 6( 2 + 36 )
Answer: 261
Step-by-step explanation:
You use PEMDAS to solve this problem
you first do the Parenthesis (p)
33+6(2+36)
33+6 (38)
We then multiply first (M)
33 + 6(38) - we know that 8 times 6 is 48 ; 6 times 3 is 18 +4 because we brought down the 4 from 48 to 3. which will be equal to 228
33 + 228
261
Find the slope of the line that passes through (9,3) and (6,3)
Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-3)/(6-9)
m=0/-3
m=0
The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?
C. f (x) = 18 (2/3)x-1
Step-by-step explanation:
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What number solves the equation 1/8 (x + 9) = 5?
Answer:
31
Step-by-step explanation:
Answer:
The number is 31
Step-by-step explanation:
Step 1: Distribute
1/8 (x + 9) = 5
1/8x + 9/8 = 5
Step 2: Subtract 9/8 from both sides
1/8x + 9/8 - 9/8 = 5 - 9/8
1/8x = 31/8
Step 3: Multiply both sides by 8
1/8x * 8 = 31/8 * 8
x = 31
Answer: The number is 31
jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week. Jed pays a total of $5935 in wages each How many full-time and part-time employees does he have? Let f= number of fulltime employees, and p= number of part-time employees.
The number of full time employees is 17 and the number of part time employee is 9
Step-by-step explanation:
Step 1 :
Let f represent the number of full time employee and p represent the number of part time employee
Total number of employees = 26
Hence we have f + p = 26
Step 2 :
Wages of full time employee = $275
Wages of part time employee = $140
Total wages paid by Jeds = $ 5935
Hence we have 275 f + 140 p = 5935
Step 3:
Solving the equations obtained in step 1 and step 2 we have
f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150
275 f + 140 p = 5935
Subtracting equation 2 from 1 we have
135 p = 1215 => p = 9
Substituting this in f + p = 26 gives, f + 9 = 26
So f = 17
Step 4 :
Answer :
The number of full time employees is 17 and the number of part time employee is 9
Edmond is on the third day of his hike up Glacier Peak. The graph below shows his hiking time and altitude for the third day only.
What was his altitude at the beginning of the third day?
A. 5,000 feet
B.
3,500 feet
C. 3,000 feet
D 4,000 feet
Answer: 3,500 feet
Step-by-step explanation:
To determine the original altitude for the third day, identify the y-intercept of the graph.
Therefore, the original altitude was 3,500 feet.
Answer: my question was a little different but i posted an image of the correct answer.
Step-by-step explanation:
To determine the original altitude for the third day, identify the y-intercept of the graph.
Therefore, the original altitude was 4,000 feet.
3. Triangle ABC has angle measures as shown.
In a survey of 300 house wires. It was discovered
that 150 had read magazine A, 200 had
read Magazine B and 156 had read
magazine C It was further discovered
that 48 had read A and B 60 had
read B and a while 52 hand read
A and a . Find
The number of housewives that had read.
all three magazine
Answer:
46 housewives read all three magazines.
Step-by-step explanation:
Given:
n(A) = 150
n(B) = 200
n(C) = 156
n(A∩B) = 48
n(B∩C) = 60
n(A∩C) = 52
n(A∪B∪C) = 300
so we know the relation as:
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)
∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) - n(A∪B∪C)
= 150 + 200+ 156 - 48 - 60 - 52 - 300
= 46
Hence the number of housewives that had read all three magazine is 46.
Answer:
46 housewives read all three magazines.
Step-by-step explanation:
find the dimensions of the sports field at the right if the width is at least 60 yards AREA = 240 - 400X SQUARE YARDS
Answer:
The dimensions of the sports field are 80 yards and 3 - 5x yards
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Width of the sports field = At least 60 yards
Area of the sports field = 240 - 400x square yards
We can conclude the shape of the sports field is rectangular.
2. Find the dimensions of the sports field.
A. We need to find the Greatest Common factor between 240 and 400, this way:
The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 .
The factors of 400 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 .
Then the greatest common factor is 80.
This GCF is also higher than 60, therefore it's one of the dimensions of the sports field.
Now, we calculate the other side of the sports, this way:
Second dimension of the sports field = (240 - 400x)/80
Second dimension of the sports field = 3 -5x
The dimensions of the sports field are 80 yards and 3 - 5x yards
Answer:
80(3-5x)
Step-by-step explanation:
240-400x
GCF: 80
Factored expression: 80(3-5x)
1 point
9. The costs for going to a dog beach are $7 for 1 dog, and $2 for each
additional dog. Which equation shows this situation, where x is greater
than or equal 1? *
Solution:
Given that,
The costs for going to a dog beach are $7 for 1 dog, and $2 for each additional dog
Let "x" be the number of dogs
where x is greater than or equal 1
Cost y is $7 for the first dog and $2 for each of the other dogs
Therefore,
y = 7 + 2(x - 1)
x - 1 means the additional dogs
Therefore,
y = 7 + 2x - 2
y = 2x + 5
Thus the equation is found
78 is the geometric mean of 30 and what number
Answer:
202.8
Step-by-step explanation:
The geometric mean of 2 numbers a and b is
[tex]\sqrt{ab}[/tex]
Here a = 30 and mean = 78, thus
[tex]\sqrt{30b}[/tex] = 78
To clear the radical square both sides
([tex]\sqrt{30b}[/tex] )² = 78², that is
30b = 6084 ( divide both sides by 30 )
b = [tex]\frac{6084}{30}[/tex] = 202.8
סוווטקיס
Find the length of the segment with endpoints (-9, -9) and (-4,3)
what’s the answer
Using distance formula we find that length is 13.
Hope this helps.
what is the volume of a cube with sides 8.1
Answer:
531.441
Step-by-step explanation:
8.1*8.1*8.1 = Volume of a cube
She took $20 with her to the movies. When she come back with $6. How much money did she spend
Answer:
$14
Step-by-step explanation:
$20 minus the $6 she came back with equals $14, which is what she spent.
(20-6=14)
Answer:
$14
Step-by-step explanation:
Take 6 away from 20
Write the quadratic equation whose roots are −2 and 4, and whose leading coefficient is 5.
Answer:
10x2 + 30x - 40
Step-by-step explanation:
If the two roots are -2 and 4 then the factors shall be;
5(x+2)(x-4)
5 is the leading coefficient.
FOIL:
f(x) = 5(x2+4x+2x-8) =
f(x) = 5(x2+6x-8) =
f(x) = 10x2 + 30x - 40
Answer:5x^2-10x-40=0
Step-by-step explanation:
x=-2 or x=4
x+2=0 or x-4=0
(x+2)(x-4)=0
x^2-4x+2x-8=0
x^2-2x-8=0
Multiply the equation by 5
5x^2-10x-40=0
Use the dot plot to answer questions.
Deanna's mean score is approximately
90
90.93
92
92.4
Amy's mean score is approximately
88.5
90
90.27
92.4
Answer:
90.93 and 90.27
Step-by-step explanation:
.find the distance between the points (4, 3) and (0, 3).
a) 2
b) 4
c) 10
d) 12
Answer:The answer is 4
Step-by-step explanation: