Answer:
Mean: 6.5
Median: 7
Range: 9.4
Step-by-step explanation:
arrange the following data set from least to greatest.
1.6, 3, 4, 4, 7, 9, 9, 10, 11
Mean: Finding the total average of the following data set.
Median: The middle number in the data set
Range: Subtracting the highest and the lowest value from the arranged data set.
Mean: 1.6 + 3 + 4 + 4 + 7 + 9 + 9 + 10 + 11 = 58.6/9 = 6.5
Median: 7
Range: 11 - 1.6 = 9.4
The slope field shown below is for the differential equation
y ' = 2x
y ' = 4 - 2x
y ' = y
y ' = x + y
Thank you in advance!
Answer:
y' = y
Step-by-step explanation:
The slopes are independent of x. So the only possible answer is y' = y.
Scientists often use the catch, band, and release method to estimate the size of wildlife populations. For example, 250 trout were caught, banded, and released into a small lake in Northern Ontario. One month later, another 250 trout were caught in the lake, 30 of them had bands. From this information scientists could estimate the size of the trout population of the lake. What is the expected population of trout? How do you know?
Answer:
2083.33 trouts
Step-by-step explanation:
Total population of fish in the pond is unknown, therefore, let's us represent this using letter Z
The ratio of banded , caught and released trout to the total trout population is represented as 250 : Z
We can solve this type of problem with a proportion:
Total number of fishes that was tagged and caught/ Total number of fishes that was caught = Total number of tagged fishes in the pond/ Total number of fishes in the pond.
In the question, we were given this values:
Total number of banded trout's that was caught and released into the pond = 250
Total number of trouts that was caught and had bands in the lake= 30
Total number of trouts that was caught in the lake = 250
Total number of fishes in the pond = Z
Hence we have:
30/250 = 250/ Z
We cross mulitply
30× Z = 250 × 250
30Z = 62500
We divide both sides by 30
30Z/ 30 = 62500/30
Z = 2083.33
Therefore, the expected population of trout is 2083.33 trouts
Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.
The quadratic has one root with multiplicity 2 if the discriminant is 0, which is
[tex](2m+4)^2-4(4-m)(8m+1)[/tex]
(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)
Set the discriminant equal to 0 and solve for [tex]m[/tex]:
[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]
[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]
[tex]36m^2-108=0[/tex]
[tex]36m(m-3)=0[/tex]
[tex]\implies m=0\text{ or }m=3[/tex]
If 2.6( d +1.4 )- 2.3d= 4,what is d?
Answer:
1.2 units
Step-by-step explanation:
2.6(d + 1.4) - 2.3d = 4
2.6d + 3.64 - 2.3d = 4
0.3d + 3.64 = 4
0.3d = 0.36
d = 1.2
I need to know this quick
Answer:
1) 943.895 mm3
2) 144 cm3
Step-by-step explanation:
1)
First we need to find the volume of the rectangular prism:
Volume_1 = 9 * 11 * 6 = 594 mm3
Then, we can find the volume of the half cylinder above the prism:
Volume_2 = 0.5*(pi * (4.5^2) * 11) = 349.895 mm3
So the volume of the figure is the sum of both volumes:
Volume_total = Volume_1 + Volume_2 = 943.895 mm3
2)
The volume of a pyramid is one third of the base area multiplied by the height, so we have:
Volume = (1/3) * 6 * 8 * 9 = 144 cm3
Answer:
1. Volume of the composite figure is 943.89 mm³
2. The volume, of the is 144 cm³
Step-by-step explanation:
1. The composite figure comprises of a cube and a half cylinder;
Volume of a cube = 9 mm × 11 mm × 6 mm = 594 mm³
Volume of the half cylinder = area of base × length = (π·r²)/2 × l
Where:
r = (Diameter of base)/2 = 9/2 = 4.5 mm
l = 11 mm
Therefore, plugging the values, gives;
Volume of the half cylinder = (π × 4.5²)/2 × 11 = 349.89 mm³
Hence, volume of the composite figure = Volume of the cube + Volume of the half cylinder
Volume of the composite figure = 594 mm³ + 349.89 mm³ = 943.89 mm³
2. The volume, V of a pyramid is given by the following relation;
[tex]V = \frac{l \times w \times h}{3}[/tex]
Where:
l = Length of base = 8 cm
w = Width of the base = 6 cm
h = Height of the pyramid = 9 cm
[tex]V = \frac{8 \times 6 \times 9}{3} = 144 \ cm^3[/tex]
Here we have that a cube of side x, therefore, the area = x·x, integrating we have;
[tex]\int\limits^x_0 {x \cdot x} \, dx = \frac{x^3}{3}[/tex]
Where:
Length, height width of the pyramid = x
It can therefore be shown, that for a pyramid of length, l, width, w, and height, h, the volume, [tex]V = \frac{l \times w \times h}{3}[/tex] .
how many times does 6 go into 29
Answer:
4 times
Step-by-step explanation:
Answer:
4.8333333 or 4 5/6 times
Step-by-step explanation:
29/6 = 4.83333333
Please help me it’s really important for me
Answer:
1. B
2. A
3. B
4. ???
5. A
6 ???
7. I can't see it
Step-by-step explanation:
Determine the scale factor from the point A(2, 6) of DEF to D’E’F’ where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D’ (-3, 6) E’(-3, 10) and F’(2, 4.5) What is the scale factor?
Answer:
The scale factor to transform DEF to D'E'F' is 1/2
Step-by-step explanation:
DEF is
D(-8, 6), E(-8, 14), F(2, 3)
D'(-3, 6), E'(-3, 10), F'(2, 4.5)
Therefore;
DE = √((-8-(-8))²+(6-14)²) = 8
D'E' = √((-3 -(-3))² + (6 - 10)²) = 4
Similarly,
EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221
E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2
Also
DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109
D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2
Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2
That is the scale factor of DEF to D'E'F' = 1/2.
2$ is what percent of $10
Answer:
20 %
Step-by-step explanation:
$10/100% $2/?
10/ what to get 2 so you do 10/5=2 so 100/5= 20.
A survey of all beings on the planet mimstoon found that 10 beings preferred lirt juice to all other juices If 25 beings are surveyed altogether what percent of them preferred Lirt juice
Answer:
The percentage of the surveyed that preferred Lirt juice is 40%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of beings that preferred Lirt juice
Let’s look at the survey presented in the question. 10 beings preferred out of a total of 25
The percentage that preferred Lirt juice will thus be;
10/25 * 100%
= 10 * 4 = 40%
Solve using substitution please help!!
I hope this helps you
Tyra spent 4/5 of her money on gas for her car and 1/2 of the remainder on sandwiches. If she spent $9 on sandwiches, how much money did tyra have first
Answer:
The initial amount of money Tyra has is $90
Step-by-step explanation:
Let the initial money Tyra has be equal to y
She spent ⁴/₅ of her initial money on gas for her car = ⁴/₅ of y
She spent ¹/₂ of the remainder on sandwiches;
the remainder = 1 - ⁴/₅ = ¹/₅
¹/₂ of the remainder = ¹/₂ x ¹/₅ = ¹/₁₀
Thus, she spent ¹/₁₀ of her money on sandwiches = ¹/₁₀ of y
Amount she spent on sandwiches = $9 = ¹/₁₀ of y
[tex]\frac{y}{10} = \$ 9\\\\y = \$ 90[/tex]
Therefore, the initial amount of moneyTyra has is $90
Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what number did she add to both numerator and denominator of her original fraction
Answer:
17 is added to both numerator and denominator.
Step-by-step explanation:
Given:
Fraction = 1/10
New fraction = 2/3
Find:
Number added to both numerator and denominator.
Computation:
Assume,
a is added to both numerator and denominator.
[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]
Therefore, 17 is added to both numerator and denominator.
what is the answer to
0.75x-0.5=x+1.5
Answer:
The result for the equation is [tex]x = -8[/tex] .
Step-by-step explanation:
-Solve the equation:
[tex]0.75x -0.5 =x +1.5[/tex]
-Subtract [tex]x[/tex] from [tex]0.75x[/tex] :
[tex]0.75x -0.5-x =x -x+1.5[/tex]
[tex]-0.25x -0.5 = 1.5[/tex]
-Add both sides by 0.5 :
[tex]-0.25x -0.5 +0.5 =1.5 +0.5[/tex]
[tex]-0.25x = 2[/tex]
-Divide both sides by 0.25 :
[tex]\frac{-0.25x}{-0.25} =\frac{2}{-0.25}[/tex]
[tex]x = -8[/tex]
So, the answer for the equation is [tex]x = -8[/tex] .
The formula for area of a triangle is A = 0.5bh. The formula for the volume of a prism is V = Bh. What does the B in the right prism volume formula represent?
Answer:
B represents area of the right triangle
Step-by-step explanation:
Given;
Area of a triangle is A = 0.5bh
where;
b is the base of the triangle
h is the height of the triangle
Given, formula for the volume of a prism is V = Bh
For a right triangle prism, the formula for the volume is, V = Bh
Where;
B is the area of the right triangle
h is the height of the prism
Therefore, B represents area of the right triangle
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
1. What Asian country's flag has the MOST colors? *
India
Thailand
Japan
China
2 Which Asian cu
Answer:
Thailand answered the question already
When multiplying two negative integers what is the sign of the product positive negative zeroor one PLEASE. ANSWER.
Multiplying a negative number by a negative number will give you a positive product.
When multiplying two negative integers, it comes out as positive.
For example, we are given the equation -4 * -4.
Using the rule [ -(-a) = a ], the answer for the equation is 16.
Best of Luck!
Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
The vector v (-6, 6, -5) points in the direction of itself, so we start there.
We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.
The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is
r (t ) = p + t v
r (t ) = (-4, 5, 2) + t (-6, 6, -5)
r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )
To get the parametric equations, simply take out the components:
x (t ) = -4 - 6t
y (t ) = 5 + 6t
z (t ) = 2 - 5t
6.8x+9.3=-9.4+3.4(2-5x)
Answer:
x = -2.67
Step-by-step explanation:
6.8x + 9.3 = -9.4 + 3.4(-3x)
6.8x + 10.2x = -9.4 - 9.3
17x = -18.7
x = -2.67
5.345345... can be expressed as (fraction form)
Answer:
5.(345)=1,780/333
Step-by-step explanation:
5.(345)=(5,345-5)/999=5,340/999=1,780/333
The fraction corresponds to given decimal is 1780/333.
What is fraction form?
A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
What will be the fraction for the given decimal number?Let x=5.345
The repeating number is 345
Multiply both sides by 1000
1000x=5345.345
Subtract x=5.345 from the obtained equation,
999x=5340
Solve for x,
x=5340/999
x=1780/333
Therefore, the fraction corresponds to given decimal is 1780/333.
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A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3
Answer:
125.6 cubic meters
Step-by-step explanation:
To calculate the volume of the cylinder, we will do it as follows:
Vc = Base area * Height
We know that the base of the cylinder is a circle, therefore:
Base area: pi * r ^ 2
replacing we have:
Vc = pi * (r ^ 2) * h
We have r = 2 and h = 10, we replace:
Vc = pi * (2 ^ 2) * 10
Vc = 40 * pi
pi = 3.14
Vc = 40 * 3.14
Vc = 125.6
Which means that the volume of the cylinder is 125.6 cubic meters
Answer:
It is 40
Step-by-step explanation:
I filled it in the blank and I got it correct edge 2020!
hope this helps :)
Can someone give me three possible solutions?
Last week norachi ran 40 miles less than trevon. Norachi ran 9 miles. How many miles did trevon run?
Answer:
trevon ran 49 miles
Step-by-step explanation:
9+40=49
Answer:
49 miles
Step-by-step explanation:
Norachi ran 40 miles less than Trevon.
So, Trevon ran 40 miles more than Norachi
Distance covered by Trevon = 40 +9 = 49 miles
Why would an engineer most likely use topography maps in his or her work?
to find an area used for camping
to define a political boundary line
to determine the best location for a new road
to find the ideal place to hike on a mountain
Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.
I hope this is helpful.
Answer:
B
Step-by-step explanation:
Jayden folded a 66cm strip of paper into 6 equal parts to model a honeycomb cell's. Each part was one side of the model. What is the length of one side of the model?
Answer:
11 cm
Step-by-step explanation:
The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.
To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:
66 / 6 = 11 cm
The length of one side of the model is 11 cm.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
A
Step-by-step explanation:
The rule for negative exponents is:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
We have:
[tex]5^{-2}[/tex]
So, we can create a fraction with 1 as the numerator, and our exponent raised to a positive number as the denominator, and rewrite it as:
[tex]\frac{1}{5^2}[/tex]
Evaluate the exponent in the denominator
[tex]\frac{1}{5*5}\\\frac{1}{25}[/tex]
Therefore, choice A, 1/25 is correct.
Someone please help me.
Answer:
D
Step-by-step explanation:
-4 x 3/2 = -12/2; which equals -6
so -6x.
-4 x -1/2 = 4/2; which equals 2
This means that:
-6x + 2 = 15; so 'D' is the answer
Answer:
D
Step-by-step explanation:
The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.
Out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams
Answer:
The answer is 66 ways .
Step-by-step explanation:
You have to use Combination because it says choosing 10 out of 12 as the position is not important :
12C10 = 66 ways of arrangements
The number of different 10-person teams are 66.
What is Combination?A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.
We have out of the 12 girls who tried out for the softball team, 10 will be chosen for the team.
Using Combination
C(n, r) = n!/ r! (n- r)!
Here n = 12, r= 10
So, C(12, 10)= 12! / 10! (12- 10)!
= 12 x 11 x 10! / 10! x 2
= 6 x 11
= 66
There are 66 10-person teams.
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20. John went school shopping for his son at the mall. A pair of jeans cost $24.99 and Jordan's
cost $120. If John bought his son 3 pair of jeans and 2 pair of Jordans, how much did he spend?
Answer:
314.97
Step-by-step explanation:
