I really need help with this stadistic problem
Answer:
the mean is 5.8 and the median is 6
Step-by-step explanation:
if you multiply the test scores by their frequencies and then add up all those values, and then divide by the number of test scores, you get 5.8
for the median, you write out all the test scores in order from least to greatest and how many times they appear. then if you go to the middle of that number line, youll find the median
The number of kilograms of water in a human body varies directly as the mass of the body. An 84-kg person contains 56 kg of water. How many kilograms of water are in a 63-kg person?
kg of water are in a 63-kg person.
Answer:
42
Step-by-step explanation:
To find the amount of water in a 63-kg person you must first find the unit rate in an 84-kg person.
84 ÷ 56 = 1.5
1.5 is how much human body weight there is as a unit rate over 1-kg of water.
1.5 x 56 = 84, so this shows we are correct.
84 ÷ 1.5 = 56, so that goes even further to prove you are correct.
Now, what's the amount of water in a 63-kg person?
1.5 is the unit rate we found out was used, so it should still be proportional.
63 ÷ 1.5 = 42.
Indeed, it is proportional. You are correct.
The answer is 42.
There is 42 kg of water in a 63 kg person.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 4 is an equation.
We have,
The number of kilograms of water in a human body varies directly with the mass of the body.
This means,
W ∝ M
Where W is the kg of water and M is the mass of the body.
Now,
W = KM
W = 56 kg
M = 84 kg
So,
56 = 84K
K = 56/84
Now,
For M = 63,
W = KM
W = 56/84 x 63
W = 42
Thus,
There is 42 kg of water.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Pls help
(Pls just give answers, I’m really tired ok )
Answer:
See attached
Step-by-step explanation:
The answers are in the picture below
Answer:
1) 11-y= -9
2)41+w= 26
3)r/6= 4
4)18×p= 54
5)v/-4= 13=>v= -54; yes
6)108= -36z=>z= 108/(-36)=>z= -3; yes
7)27=n-16=>n=27+16=>n=43;not a solution
8)84=78+t=>t= 84-78=>t= 6; not a solution
9)a/2=36------------B. What number divided by 2 equals 36?
10)2a=36------------C. 2 times what number equals 36?
11)2+a=36-----------D. 2 plus what number equals 36?
12)a-36=2-----------A. What number minus 36 equals 2?
You use a juice mix to make orange juice.
You combine 12 ounces of the mix with 36 ounces of water.
What is a unit rate that describes your juice?
CLEAR
CHECK
12 ounces of water per ounce of juice mix
ſ ounce of water per ounce of juice mix
3 ounces of water per ounce of juice mix
36 ounces of water per ounce of juice mix
Answer:
3 ounces of water per ounce of juice mix
Step-by-step explanation:
36/12=3
A woman is floating in a
boat that is 175 feet from
the base of a cliff. The cliff
is 250 feet tall. What is the
angle of elevation from
the boat to the top of the
cliff?
The angle of depression between the cliff and the boat is 55.0
What is angle of depression?
The angle of depression is the angle between the horizontal line and the observation of the object of from the horizontal line. It's basically used to get the of distance of the two objects where the angles and an of object's distance from the ground are known to us.
A boat is moving 175 feet from the base and a women is in the boat.the height of the cliff is 259 feet tall. Here we have to find the angle between the cliff and the boat.
As per the given question
We have a right angled traingle where base is 175 ft and height is 250 ft.
Thus,
We know that tan theta =opposite/adjacent
250/175
So theta=tan^-1(250/175)
So theta = 55.0
To know more about angle of depression click-
https://brainly.com/question/27865363
#SPJ13
Solve for x: -5bracket(-3x+1)=-45
Step-by-step explanation:
-5(-3x+1)=-45
Expand bracket: 15x-5=-45
15x= -45+5
15x=-40
X=-2.67
I hope this helps.
p= ?
m∠RTS=?
explain how you find the requested values
The angle of the T in the ΔRST is 100° and the value of p is 11.
Define Triangle.
A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.
i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.
Given:
∠R = 37°; ∠S = 43°; ∠T = 10p-10°
Let's take ∠T = x
In ΔRST,
∠R + ∠S + ∠T = 180°
37 + 43 + x = 180°
x = 180 - 80 ⇒ 100
∴ ∠T = 100°
To find the value of p,
∠T = 100
10p - 10 = 100
10p = 110 ⇒ 11
∴ p = 11
To know more about angles visit:
brainly.com/question/7116550
#SPJ1
need help to answer question
Answer: 24
Step-by-step explanation: multiply the amounts given
4x2=8
8x3= 24
Answer:
24
Step-by-step explanation:
2. Write Equation of a Circle given graph or two points Erin Hoffmann •
The equation of the circle graphed is (x + 4)² + (y + 5)² = 16
Determining the equation of the circle graphedFrom the question, we have the following parameters that can be used in our computation:
The circle (see attachment for complete question)
Where, we have
Center = (a, b) = (-4, -5)
Radius, r = 4 units
The equation of the circle graphed is represented as
(x - a)² + (y - b)² = r²
So, we have
(x + 4)² + (y + 5)² = 4²
Evaluate
(x + 4)² + (y + 5)² = 16
Hence, the equation is (x + 4)² + (y + 5)² = 16
Read more about circles at
brainly.com/question/24810873
#SPJ1
A mirror has an area of 66 inches. If the mirror is 11 inches long,how wide is it?
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
For more such questions on rectangle, click on:
https://brainly.com/question/2607596
#SPJ8
1) Use your own words to explain the following terms:
function,
domain, range vertical line test.
Function: A function is a mathematical relationship between two sets of values, where each element in the first set (called the domain) is related to exactly one element in the second set (called the range). A function can be represented by a formula, equation, or graph, and it describes how one set of values is related to another.
Domain: In a function, the domain is the set of all possible values that can be used as input for the function. It is the set of values that the function operates on.
Range: In a function, the range is the set of all possible values that can be produced as output by the function. It is the set of values that the function produces as a result of operating on the domain.
Vertical line test: The vertical line test is a method used to determine whether a graph represents a function.
Hope This Helps You!
$36 is what percent of $48? Write your answer using a percent sign (%). For example, 0.5%, 12.7%, or 56%.
Answer:
75%
Step-by-step explanation:
We assume 48 is 100% since it's our output
The value we're looking for is "X"
x= 36/48
next multiply both by 100
x = 36/48 X 100/100
x = 3600/4800
x = .75
now times it by 100 to get it back in percentage form
x = 75% (simply move the decimal point two spaces to the right will get you your percentage as well)
Using a calculator:
enter 36/48 x 100 = 75
Solve the following equation. Then place the correct number in the box provided. 3x + 1 = 2x + 12
Answer:
x = 11
Step-by-step explanation:
3x+1 = 2x+12 (subtract 2x from both sides)
x+1 = 12 (subtract 1 from both sides)
x = 11
So x is equal to 11
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
Solve the equation by using the Square Root Property. (Enter your answers as a comma-separated list.)
x²
6
X=
= 24
Answer:
12 is the answer of this equation
Solve for c
Can you pls help me??
Answer:
5(c+3)=85
divide both sides by 5
c+3=17
taking 3 to the other side gives us -3
c=17-3
c=14
Explain the difference between total revenue and marginal revenue.
Answer:
Total revenue is the full amount of total sales of goods and services. It is calculated by multiplying the total amount of goods and services sold by their prices. Marginal revenue is the increase in revenue from selling one additional unit of a good or service.
Step-by-step explanation:
Can someone help me answer this problem on ixl!!
Answer:
20 blogs
Step-by-step explanation:
Step 1: Determine the proportion of pop culture blogs:
First, we need to determine the proportion of pop culture blogs already written. We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:
The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers
Proportion = 26 / (20 + 26 + 7 + 12)
Proportion = 26 / 65
Proportion = 0.4
Step 2: Multiply the proportion of pop culture blogs by the number of upcoming blogs:
To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:
Expected number of pop culture blogs = proportion of pop culture blogs * number of upcoming blogs
Expected number = 0.4 * 50
Expected number = 20
Thus, you should expect 20 pop culture blogs to be written given the data.
Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
if an isosceles triangle has a base angle measuring 40 then what measure is the vertex angle
The measure of the vertex angle when the base angle is 40° of the isosceles triangle is 100°.
What are triangles?The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle.
Every triangle has three sides and three angles, some of which might be the same.
The inner angles of a triangle always add up to 180°, whereas the exterior angles are equal to the sum of the two internal angles that are not adjacent to it.
Isosceles triangle:
In geometry, an isosceles triangle is one with at least two sides of equal length.
It can be defined as having exactly two equal-length sides or as having at least two equal-length sides, with the equilateral triangle being an exception to the second definition.
So, we know that the sum of all the interior angles in a triangle is 180°.
Consider that the base angles of the isosceles triangles are equal which is 40°.
Then, the vertex abgle will be:
40 + 40 + vertex angle = 180
80 + vertex angle = 180
vertex angle = 180 - 80
vertex angle = 100°
Therefore, the measure of the vertex angle when the base angle is 40° of the isosceles triangle is 100°.
Know more about Triangles here:
brainly.com/question/28889256
#SPJ4
7÷5=2. Prove It
Based on Critical Thinking and Reasoning. Not normal mathematics.
Help asap! Am=6 MB=4 AN=8
Answer:
AC = 13.3
Make proportional relationship:
\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)
Insert values
\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)
Cross multiply
\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)
Simplify
\(\rightarrow \text{AC}=13.3\)
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at.
Answer:
Step-by-step explanation:
The question is incomoplete. Here is the complete question.
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at 5km, 20km and 100km
T(d)=10d + 20
T(5)=10(5) + 20
T(5)= 50+ 20
T(5) = 70
Hence the temperature is 70 when d = 5km
when d = 20km
T(20)=10(20) + 20
T(20)= 200+ 20
T(20) = 220
Hence the temperature is 220 when d = 20km
when T = 100km
T(100)=10(100) + 20
T(100)= 1000+ 20
T(100) = 1020
Hence the temperature is 1020 when d = 100km
The temperatures at 5km, 20km and 100km are; 70°C, 220°C, and 1020°C respectively.
The complete question requires that we find the temperature at 5km, 20km and 100km.
The temperature function is; T(d)=10d + 20
For 5km;
T(5)=10(5) + 20T(5) = 70°CFor 20km;
T(20) = 10(20) + 20T(20) = 220°CFor 100km;
T(100)=10(100) + 20T(100) = 1020°CRead more;
https://brainly.com/question/15308045
Find the value of y.
Answer:
y=7
Step-by-step explanation:
The two given angels are congruent so they must be equal in measure.
Set them up equal and find y.
8y = 5y + 21, subtract 5y from both sides
8y -5y = 21, combine like terms
3y = 21, divide both sides by 3
y = 7
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
the population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 15% in 10 years. what will be the pop ulation in 30 years? how fast is the population growing at t 30?
Using the differential equation, the population after 30 years is 760.44.
What is meant by differential equation?In mathematics, a differential equation is a relationship between the derivatives of one or more unknown functions. Applications frequently involve a function that represents a physical quantity, derivatives that show the rates at a differential equation that forms a relationship between the three, and a function that represents how those values change.A differential equation is one that has one or more functions and their derivatives. The derivatives of a function define how quickly it changes at a given location. It is frequently used in disciplines including physics, engineering, biology, and others.The population P after t years obeys the differential equation:
dP / dt = kPWhere P(0) = 500 is the initial condition and k is a positive constant.
∫ 1/P dP = ∫ kdtln |P| = kt + C|P| = e^ce^ktUsing P(0) = 500 gives 500 = Ae⁰.
A = 500.Thus, P = 500e^ktFurthermore,
P(10) = 500 × 115% = 575sO575 = 500e^10ke^10k = 1.1510 k = ln (1.15)k = In(1.15)/10 ≈ 0.0140Therefore, P = 500e^0.014t.The population after 30 years is:
P = 500e^0.014(30) = 760.44Therefore, using the differential equation, the population after 30 years is 760.44.
To learn more about differential equations refer to:
brainly.com/question/1164377
#SPJ4
An aquarium holds 11.35 cubic feet of water, and is 2.6 feet long and 1.1 feet wide. What is its depth? Round your answer to the nearest whole number.
The depth is
feet.
The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).
To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,
which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).
Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.
Substituting these values into the formula for volume,
we get:11.35 = 2.6 × 1.1 × h
Simplifying this expression:
11.35 = 2.86h
Dividing both sides by 2.6 × 1.1,
we get:h ≈ 3.64 feet (rounded to two decimal places)
To learn more about : depth
https://brainly.com/question/1441593
#SPJ8
write an exponential model given two points:
(10, 140) and (11,220)
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped