Answer:
1/5×400=80400+80=480 1/5 increase of 400=480(Two-Way Frequency Tables MC)
Some researchers claim there is an association between taking vitamins and gaining weight. They took a random sample of people living in Boston, Massachusetts, and recorded whether they took vitamins and whether they gained weight. The results are shown in the following two-way table:
Has Gained Weight Has Not Gained Weight Row Totals
Does not take vitamins 16.9% 6.2% 23.1%
Takes one vitamin per day 11.4% 16% 27.4%
Takes more than one vitamin per day 23.5% 26% 49.5%
Column Totals 51.8% 48.2% 1
A student reading the results stated that more than half of the study participants are taking vitamins. Determine if the student is correct.
Yes, because 23.5% take one vitamin and 48.2% take more than one vitamin, which is a total of 71.7% taking vitamins.
Yes, because 27.4% take one vitamin and 49.5% take more than one vitamin, which is a total of 76.9% taking vitamins.
No, because 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins.
No, because 16% take one vitamin and 26% take more than one vitamin, which is a total of 42% taking vitamins.
The student is incorrect as C. No, because 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins
How to illustrate the information?It should be noted that some researchers claim there is an association between taking vitamins and gaining weight.
In this case, a student reading the results stated that more than half of the study participants are taking vitamins. This is incorrect.
It should be noted that 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins.
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Answer:
B. Yes, because 27.4% take one vitamin and 49.5% take more than one vitamin, which is a total of 76.9% taking vitamins.
Step-by-step explanation:
You must add the percentages of the subjects and took vitamins AND did NOT gain weight. The other answer only adds the percentages of those who took vitamins and gained weight. You're looking for the percentage of everyone who took vitamins, regardless of if they gained weight or not.
11.4% + 16% = 27.4% - Takes one vitamin per day
23.5% + 26% = 49.5% - Takes more than one vitamin per day
27.4% + 49.5% = 76.9%
Therefore the student is correct, since it is more than 50% of the participants.
Tell whether the value is a solution to the inequality 8-X>3;X=2
Answer: The value is not a solution the inequality 8-x>3; x=2
Step-by-step explanation:
8-x>3
-8 -8
----------
-x>-5
----------
-x -x
x<5
Write an equation for the transformation of y=x
vertical compression by a factor of 1/11
An equation for the transformation of y = x vertical compression by a factor of 1/11 is; y = (1/11)x
What is vertical compression in transformation?Vertical compressions in transformations occur when a function is multiplied by a rational scale factor. This means that base of the function's graph would remain unchanged when a graph is compressed vertically because it is only the output values that will be affected.
Now, we are given the equation as; y = x
When it undergoes a vertical compression by a factor of 1/11, we can say that the new equation will be; y = (1/11)x
Thus, we conclude that an equation for the transformation of y=x
vertical compression by a factor of 1/11 is; y = (1/11)x
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4. A scientist needs 10 liters of a 20% acid solution for an experiment, but she has
only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how
many liters of the 5% and the 40% solutions should she mix to get the solution
she needs? Write and solve an equation to match the situation.
Equation:
The liters of the 5% and the 40% solutions that she should mix to get the solution she needs are 5.7 liters and 4.3 liters respectively.
How to illustrate the information?Let x be the of volume of the 40% solution, then the volume of 5% would be:
10 L = 40% solution volume+ 5% solution volume
10 L= x + 5% solution volume
5% solution volume = 10l-x
Then the volume calculation would be:
10 liter × 20% = x liter × 40% + (10- x) liter × 5% 10l * 20%
= x liter * 35% + 10 liter*5%
x liter *35
= 10l * 20 - 10l *5
= 10l*m × 15x liter
= 10l *15/35
= 4.28 L= 4.3L
The volume of 40% solution= 4.3L
The volume of 5% solution will be:
= 10L- 4.3L
= 5.7L
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What is the slope-intercept equation of the line going through (6, 7) and
(2,-1)?
Answer:
y=2x-5
Step-by-step explanation:
you use m=y2-y1/x2-x1 which equals 2. So that's our slope. Then you do b=y1 -mx1 or yout could do the second point. This gives you b= 7-(2) x(6)=-5. That's how you get the y. Hope this helps!
Fill in the blanks below with the correct units.
(a) Jina’s pet dog has a mass of 7______
(I) grams
(II) kilograms
(b) Keith squeezed an orange and got about 70 _____ of juice
(I) milliliters
(II) liters
(c) The soccer field at Tony’s school is 100_______ long.
(I) millimeters
(II) centimeters
(III) meters
(IV) kilometers
Answer:
Step-by-step explanation:
A: Kilogram
B: Milliliters
C: 100 Kilometers
The function f is defined by f(x)=x+5.
Find f(x-1).
The value of f (x -1) is;
f (x - 1) = x + 4
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
Function f (x) = x + 5
Now,
Find the value of f (x - 1), we substitute the value x = x - 1;
f (x) = x + 5
f (x - 1) = (x - 1) + 5
f (x - 1) = x - 1 + 5
f (x - 1) = x + 4
Thus, The value of f (x -1) is;
f (x - 1) = x + 4
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-10 2/7 divided (-4 4/11) write fractions in simplest form
According to the solving the simplest form of the given fraction is:
= [tex]$2 \frac{47}{70}$\\[/tex]
What exactly is fractional simplification?Simplified fractions are fractions in their simplest, smallest, and most basic form. The fraction's numerator and denominator are reduced to the point where the sole common element between them is 1. For example, 4/6, 8/12, 16/24, and so on are simplified fractions of 2/3.
What exactly do you mean by "simplification"?the process of making anything less complicated and hence easier to do or understand, or the product of such a process: The organization provides advice on how to simplify trade procedures.
According to the given data:-10 2/7 divided (-4 4/11)
This can be written as:
= [tex]\frac{-10\frac{2}{7} }{-4\frac{4}{11} } \\[/tex]
On simplifying we get:
= 68/7 and 40/11
= [tex]\frac{68}{7} /\frac{40}{11}[/tex]
= [tex]$\frac{-68 \times 11}{7 \times-40}$[/tex]
= [tex]$\frac{-748}{-280}$[/tex]
dividing numerator and denominator by 4:
= [tex]$\frac{-748 \div 4}{-280 \div 4}$[/tex]
= [tex]$\frac{187}{70}$[/tex]
= [tex]$2 \frac{47}{70}$\\[/tex]
According to the solving the simplest form of the given fraction is:
= [tex]$2 \frac{47}{70}$\\[/tex]
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Why did Matt get upset when his teacher called him average?
3/4x + 9 = 0
Please help with this
Helppppp ur girl outtt
they are both proportional
A. 6.5 apples but you can't buy half a apple so 6 Apples
B. 10 hours
2,553= 2,200(1 + i)²solve the equation
Answer:
The answer is 2553=4400i
Step-by-step explanation:
Write a six-digit number with a 5 in the ten thousands place and a 2 in the ones place?
Answer:
105,342
Step-by-step explanation:
It is valid.
Evaluate the following expression when x=2
x3+7x+2=
A.24
B.22
C.10
D.9
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. The expression x3+7x+2 value is 24 when x=2. So option A is correct.
What is Expression?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
The given expression is x^3+7x+2
Now we have to plug in x value as 2
=(2)^3+7*2+2
The value of 2^3 is 8 and 7*2 is 14
=8+14+2
Add 8, 14 and 2 to get the required solution.
=24
Therefore the expression x3+7x+2 value is 24 when x=2.
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Determine the values of y in the equation y² = 121.
Pre-Algebra 8th grade
All I know that it is not 11
+11, -11
The reason the answer is not 11 is not because you did the math wrong its because you gave the answer is just 11.
even when you square a negative number you multiply two negatives to make a positive so it would have to be -11 and +11.
This applies to whenever you square a number, the answer can always be two possibilities the positive and the negative.
HELP ME PLS 50 POINTS ASAP!!!!!!!!!!!!
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
Write an addition expression to represent the following scenario. Then, determine which level the attendant is on.
A valet attendant parks a car in Parking B, takes the elevator up six levels, and then takes the elevator down three levels.
Answer:
(B+6)- 3
is it correct?
solve the linear equation
8-x=26+x
The solution of the linear equation is x = -9
What is a linear equation?A linear equation is an equation in which the highest power of the unknown is one.
How to solve a linear equation?To solve a linear equation, we collect the like terms and them perform operations of addition, subtraction, multiplication and division to simplify the results and get the answer.
How to solve the linear equation?Since we have 8 - x = 26 + x
To solve the linear equation, we add + x to both sides. So,
8 - x + x = 26 + x + x
8 + 0 = 26 + 2x
8 = 26 + 2x
Next, we subtract 26 from both sides.
8 - 26 = 26 - 26 + 2x
-18 = 0 + 2x
-18 = 2x
Next, we divide both sides by 2. So, we have
2x = -18
x = -18/2
x = -9
So, the solution of the linear equation is x = -9
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How many solutions does the nonlinear
have?
system of equations graphed below
Answer:
Step-by-step explanation:
c
Solve the following equations, explain and check your solution.
2(x-3) -17=13-3(x+20)
2(x-3)-17=13-3(x+20)
2x-6-17=13-3x-60
2x-23=-3x-47
5x-23=-47
5x= -24
Answer:
x = -4.8
Step-by-step explanation:
help pleaseeeeeeeeeeeee
Answer:
1)5n: not balanced
2)1n: Balanced
4)8n: not balaned
Step-by-step explanation:
The ratio of flour to butter in a recipe for pie crust is 2:1 if a baker makes 30 cups of pie crust how many cups of flour and how many cups of butter does he need
The number of flour cups would be 20
and butter cups would be 10.
The explanation to this question this is
There are total 30 cups of pie crust made.
Now, 2
2:1 is the ratio given.
For flour cups
= [tex]\frac{2}{3}[/tex] × 30
= 2 × 10
= 20
For butter cups
= [tex]\frac{1}{3}[/tex] × 30
= 1 × 10
= 10
So in total 30 cups of pie crust , there are 20 cups of flour and 10 cups of butter.
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.
Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio.
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Write the formula to calculate the height, h.
Answer:
Full height = present heightpercentage of full height at current age x 100. Q
hope it helps...
two number total 64 and have a difference of 30 find the two numbers
Answer:
47, 17
Step-by-step explanation:
Let the numbers be x and y. Then, x+y=64 and x-y=30. Adding these equations, we get 2x=94, and thus x=47.
It follows that y=17.
Find the derivative of each function. h(x) = (4x^3 + 8x)(16 – 5x^5)
The derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]
What is a derivative ?The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.
Given:
The given function is
[tex]h(x) = (4x^3 + 8x)(16-5x^5)[/tex]
According to given question we have
[tex]h(x) = (4x^3 + 8x)(16- 5x^{5} )[/tex]
[tex]h'(x)=\frac{d(4x^{3} +8x)(16-5x^{5}) }{dx} \\\\=\frac{d(64x^{3}+20x^{8} +128x-40x^{6}) }{dx} \\\\=192x^{2} +160x^{7} +128-240x^{5}[/tex]
Therefore, the derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]
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During the exponential growth phase of Salmonella Enerica bacteria in a certain environment, the population grows exponentially with a growth rate of 2.74% per hour. For an initial population of 18 Salmonella Enerica bacteria, determine how many bacteria will be present after 4 days in the exponential growth phase. Round to the nearest whole number
Population growth is exponential, growing by some multiple over time that is dictated by a rate. To find the population exponential growth formula, take this initial premise, the population multiplied by a rate, and equate it to the change in population with respect to time.
Number of bacteria present after 4 days will be 20.05 .
Given,
Initial population = 18
Growth rate = 2.74%
Here,
The exponential growth is given by ,
N = [tex]N_{0} (1 + r )^t[/tex]
N = population after time t
No = Initial population
r = growth rate
t = time
Here,
No = 18
t = 4 days
r =2.74% = 0.0274
Substitute the values in the formula ,
N = 18 [tex](1 + 0.0274)^{4}[/tex]
N = 20.05 .
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21/3 + (3×9) × 9 + 5
Answer:
255
Step-by-step explanation:
please help me, i’ve been stuck on this for a while.
Answer:
x = 29
Step-by-step explanation:
Not sure if they meant actually 61 different numbers or just 2 numbers to make up 61, but I determined that -29 and 29 make up 61 because a negative plus a positive is always positive.
In a particular class of 30 students, 8 are men. What fraction of the students in the class are women?
Answer:
22 students are women.
Step-by-step explanation:
because when the number of students in total is 30 and 8 students are men so the rest of the class are women 30-8=22
Match the word with the definition.
Question 2 options:
Common Denominator
Product
Mixed Number
Multiple
Improper Fraction
Difference
1.
The result of subtracting one number from another.
2.
When the denominators of two or more fractions are the same.
3.
Two or more factors multiplied together results in this.
4.
The result of multiplying a number by an integer (not by a fraction.
5.
A way to represent a fraction as an integer plus a fraction.
6.
A fraction in which the numerator is greater than the denominator.
How does cancer affect the body of person
Answer:
Cancer can upset the normal chemical balance in your body and increase your risk of serious complications.
Answer:
Cancer can grow into,or begin to push on near by organs , blood vessels,and nerves. This pressure causes some of the signs and symptoms like fever, extreme tiredness or weight loss. This may be because cancer cells use up much of the body's energy supply.