0.6% of the people had a mild allergic reaction
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
A company that makes hair-care products had 8000 people try a new shampoo.
In the 8000 people, 48 had a mild allergic reaction.
We need to find the percent of the people had a mild allergic reaction
We have to find what is 48 percent in 8000.
x×8000=48
Divide both sides by 8000
x=48/8000
x=0.006
Now we need to multiply by 100 as it is a hundredth part.
0.006×100
0.6
Hence, 0.6% of the people had a mild allergic reaction
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at the homecoming game, cheerleaders will throw 100 bundled t-shirts into the crowd. the t-shirt sizes consist of 20 small, 30 medium, and the remainder either large or extra large. suppose you catch a t-shirt. what is the probability that you will catch a t-shirt that is not a size medium?
The probability that you will catch a t-shirt that is not of medium size would be 0.7
What is the probability?
Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
Small=S=20, M=medium=30,
L = Either large or extra large=50
P(T-shirt that is not a medium)= 1 - P(T-shirt is medium)
= 1 - 30/100
= 1 - 0.3
= 0.7
Hence, the probability that you will catch a t-shirt that is not of medium size would be 0.7
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edit: I did this, but im curious on what other ppl would find
In 2006, in Canada, 7.4 million out of 31.4 million of canadians said they spoke french.
Between 2006 and 2011, Canada's population went up 6%, and the number of canadians speaking french went up 300 000.
Did the pourcentage of french-speaking canadians go up or down between 2006 and 2011?
The percentage of French-speaking Canadians went down between 2006 and 2011.
What is percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In 2006, in Canada, 7.4 million out of 31.4 million of canadians said they spoke french. The percentage will be:
= 7.4/31.4 × 100
= 23.6%
Since Canada's population went up 6%, the bee population will be:
= 31.4 million × (6% × 31.4 million)
= 33,284,000
The number of Canadians speaking french went up 300 000.
The percentage will be:
= 7,700,000/33,284,000 × 100
= 23%
Therefore, the percentage reduced.
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If a box of crackers is $3 for 2 boxes of crackers then how much Is it per box?
How do you decide which variable to isolate in order to
use the substitution method to solve a system of linear
equations?
Intro
Answer:
Step-by-step explanation:
it depends on the vaiable you choose to cancel out first. For example, if I had two equations:
-12x+9y=7
9x-12y=6
if you wanted first eliminate the x values, then you distribute a certain number to either equation that will cause the x values to cancel (one being negative, and the other being positive)
-7x + 4y = 24
4x - 4y = 0
solve by substitution - please add explanation and work
Answer:
(-8, -8)
Step-by-step explanation:
You need to solve one of the equation for x or y. I am going to solve the bottom equation for x
4x -4y = 0 Add 4y to both sides
4x = 4y Divide both sides by 4
x = y Substitute y in for x in the first equation
-7x + 4y = 24
-7y + 4y = 24 Combine like terms
-3y = 24 Divide both sides by -3
y = -8
Since x = y
x = -8
Check:
-7y + 4y = 24
-7(-8) + 4(-8) = 24
56 - 32 = 24
4x - 4y = 0
4(-8) - 4(-8) = 0
-32 + 32 = 0
0 = 0
a fence must be built to enclose a rectangular area of 20,000square feet. fencing material costs 3 per foot for the twosides facing north and south and 6 per foot for the other twosides. find the cost of the least expensive fence
A fence surrounding the field that is 200 feet long and 100 feet wide will cost $2400 to construct.
What is area?The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Here,
Area of rectangle=20,000 square feet
Cost of building fence for north and south=$3 per feet
Cost of building fence for east and west=$6 per feet
Let the sides be x and y,
area=x*y
20000=xy
y=20000/x
Perimeter=2l+2b
=2(x+y)
Total cost will be,
=3*2x+6*2y
=6x+12y
C=6x+12*20000/x
C=6x+240000/x
dC/dx=6-240000/x²
dC/dx=0
6=240000/x²
6x²=240000
x²=40000
x=200 feet
y=100 feet
C=6*200+12*100
C=$2400
The cost of building a fence around the field of length 200 feet and width 100 feet is $2400.
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for a period of time, an island's population grows exponentially. if the population doubles every 17 years and the current population is 1,725, what will the population be 10 years from now?
After 10 years the population growth will be 3054, if the population doubles after every 17 years.
What is Exponential function?A mathematical function with the form f (x) = ae^x is an exponential function. "x" is a variable, and "a" is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the base for exponential functions that is most frequently used.
Growth rate = 100% in 17 years
In 1 year = 5.88% growth
Initial population = P₀ = 1725
Time = 17 years
So, after 10 years population
P= P₀ ( 1 + [tex]\frac{r}{100}[/tex])^t
= 1725 ( 1 + 5.88/100 )^10
=≈ 1725 * 1.77
=≈ 3054
Hence, the population growth after 10 years at the rate of 5.88 % would be 3054.
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uuuhhhmmmm i need help with 2 work sheets called dizzy over decimals multiplying decimals and dizzy over decimals dividing decimals so can someone find those and give me written answers worked out
What is the minimum number of different résumé formats that an individual should have prepared? a. 1 b. 2 c. 3 d. 4 please select the best answer from the choices provided a b c d
(B) 2 separate resume formats should be the absolute minimum number that someone should have created.
What is a résumé?A résumé, also known as a curriculum vitae (CV), is a written statement that a person uses to describe their educational history, professional experience, and accomplishments.
Although there are many uses for resumes, they are most frequently employed to find new jobs.
A standard résumé includes a "summary" of relevant educational background and work history.
So, a condensed format should be used for the first.
One page should be plenty for a good resume.
However, a two-page format might be employed when things are crammed onto one page.
For extra information about yourself, utilize a two-page format.
Typically, we submit the streamlined version before our interview.
In order to give the interviewer access to extra material, we might demonstrate our extended format during the interview.
Therefore, (B) 2 separate resume formats should be the absolute minimum number that someone should have created.
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Correct question:
What is the minimum number of different résumé formats that an individual should have prepared?
a. 1
b. 2
c. 3
d. 4
Simplify the expression 4(x+7) using combining like terms or distributive property.
Answer:
4x+28
4 multiplied by x is just 4x and 4x7 is 28
a recent survey reported that small businesses spend 24 hours a week marketing their business. a local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week. assuming that the population standard deviation is 6.1 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
chamber of commerce’s claim at the 0.02 level of significance, z = -1.75
What is z test?
If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.
a recent survey reported that small businesses spend 24 hours a week marketing their business.
these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.
assuming that the population standard deviation is 6.1 hours.
Given n = 93, u =24, x' = 23, α=5.5
z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75
Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75
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The greatest common factor of 48 and z, some unknown positive integer, is 12. There are two possible values for z between 10 and 30. What is the difference between these two values?.
The greatest common factor being 12, the difference between the two values is 12.
What is GCD?
The greatest common divisor (GCD) from mathematics is the largest positive integer that splits each of two or more non-zero integers.
The symbol gcd stands for the greatest common divisor of the two integers x and y.
For instance, gcd(8,12)=4 is the GCD of the numbers 8 and 12.
According to the given question:
The greatest common factor of 48 and z, some unknown positive integer, is 12. There are two possible values for z between 10 and 30.
Now there are only two numbers between 10 and 30 which has a factor of 12.
The numbers are 12 and 24.
Hence the difference between these two numbers is 24 - 12 = 12
Therefore the required value is 12.
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-4-5(x+8) please hurry!! WITH EXPLINATION!
Answer:
- 5x - 44
Step-by-step explanation:
-4 - 5(x + 8)
Distribute the -5 to the terms in parenthesis:
-4 - 5x - 40
combine numbers:
- 5x - 44
A plant is already 55 centimeters tall, and it will grow one centimeter every month. The plant's height, (in centimeters), after months is given by the following.H=55+m What is the plant's height after 34 months? PLEASE HELP
The plant's height after 34 months will be 89cm if the plant is already 55 centimeters tall.
What is meant by height?Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.
Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.
Given, the relation between the height and the months is:
H(m)=55+m
Now, we have to find the height of the plant after 34 months.
So, we substitute m=34 in the expression to obtain height,
H(m)=55+m
H(34)=55+34
H(34)=89cm
Hence the height will be 89cm
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I want to know how to do this problem
Answer:
Step-by-step explanation: k = 25
whats the answer for shrinking -12(5/6x-5)+2x
Answer: 12x-60
Step-by-step explanation:
-12 x 5/6 = 10
-12 x 5 = -60
10x-60+2x
12x-60
Drag each expression to the correct location in the equation. not all expressions will be used. determine the two rational expressions whose difference completes this equation.
The two found rational expressions with the difference that completes the equation is (x + 2)/(x² - 36) and 1/(x² + 6x).
Explain the term rational expressions?The ratio of 2 polynomials is a rational expression. F can be expressed in the form p/q, where q and p are polynomials, if f is a rational expression.Consider the two rational expressions.
(x + 2)/(x² - 36) ...eq 1
and 1/(x² + 6x) ....eq 2
Subtract the second from the first.
= [(x + 2)/(x² - 36)] - [1/(x² + 6)]
Factorise the denominator of the first equation-
= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]
Taking the LCM
= [x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]
Further simplifying,
= [x² + x + 6]/[x(x-6)(x + 6)]
Thus, the two found rational expressions with the difference that completes the equation is (x + 2)/(x² - 36) and 1/(x² + 6x).
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The complete question is-
Drag each expression to the correct location in the equation. Not all expressions will be used.
Determine the two rational expressions whose difference completes this equation.
x² + x + 6
x(x-6)(x + 6)
47 page 28 math monde svp
Answer:
Step-by-step explanation:
Can you explain more please?
The star Sirius is more than 4 light years farther from Earth than the star
Proxima Centauri. Write an inequality that represents the distances of Sirius
and Proxima Centauri from Earth.
Answer:
dS > dC + 4 LY
the scores on a standardized test have an average of 1200 with a standard deviation of 60. a sample of 50 scores is selected. what is the probability that the sample mean will be greater than 1205? round your answer to three decimal places.
the scores on a standardized test have an average of 1200 with a standard deviation of 60 and 99.7% of the students scored between (44.67 , 56.33) i.e.
between 44 and 56.
On Subtracting 1 from your sample size, we get
100 – 1 = 99.
On Subtracting confidence level from 1, and then divide by two.
(1 – .997) / 2 = 0.0015
Now, df = 99 and α = 0.0015
from the table at df = 99 we got 2.262.
Divide your sample standard deviation by the square root of your sample size.
28 / √(100) = 2.8
Now, 2.262 × 2.8 = 6.33
So, the confidence interval be,
(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)
Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.
between 44 and 56.
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What kind of triangle has angles 60°, 60°, and 60°?
Answer:
equilateral triangle
Step-by-step explanation:
all of the sides to a equilateral triangle equal to 60 degrees.
A statistic summarizing the strength of association between two metric variables is called the ________.
A) product moment correlation
B) covariance correlation
C) inverse correlation
D) bivariate correlation
E) F-statistic
A statistic summarizing the strength of association between two metric variables is called the product moment correlation.
The Pearson product-moment correlation coefficient also known as Pearson’s correlation is a measure of the linear relationship between two variables/measures/questions, in other words, the Pearson product-moment correlation coefficient is a measure of the direction and strength of association that exists between two metric variables measured on at least an interval scale.
A product-moment correlation attempts to draw a line of best fit through the data of two variables, and the Pearson correlation coefficient illustrates how far away all these data points are from the best fit line. Product-moment correlation quantifies the strength as well as the direction of correlation.
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help on photo Mathematics
Answer:
B. 48
Step-by-step explanation:
plug in the value of h into the expression and simplify from there
Lucas, Mason, Logan, and Jayden have 5 grapefruits. They want to share them equally. How much grapefruit will each person get?
suppose that the cash flow, in dollars , for a pharmacy are normally distributed with an unknown mean and standard deviation. the cash flow of 40 randomly sampled pharmacies are used to estimate the mean of the population. what t-score should be used to find the 80% confidence interval for the population mean?
The t-score should be used to find the 80% confidence interval for the population mean is $1.304
the interval of confidence: This indicates the degree of confidence and ambiguity in a sampling process. It provides us with a range of outcomes, indicating that we would be reasonably certain that our genuine value or variable falls inside the range.
The sample size was 40 pharmacies (n=40). To calculate the degrees of freedom, use the formula: df=n-1=40-1=39.
The scenario specifies an 80% confidence level. So,α=1−CL=1−0.8=0.2 However, we wish to utilize the value for 2, which would be 0.22=0.1. We ought to locate the row for 39 freedom degrees and the column for t0.1 using the table. So the t-score for determining the 80% confidence interval is 1.304. We may alternatively use a calculator and enter 1-α2=0.9 as well as the degrees of freedom into invT, and then enter invT. (0.9,39).
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Solve the system of equation.
4x-3y=-9
3x+2y=-11
Answer:
x = 51
y = -82
(51, -82)
Step-by-step explanation:
Look at the attachment
A lottery offers one $900 prize, one $600 prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys five tickets. Assume that the player’s ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
The expectation if a person buys five tickets is $____.
The Expected value for 4 tickets = $ 7.6
Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.
To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Proof -
Given that,
A lottery offers
one $ 900 prize
one $ 600 prize
three $ 400 prizes
Four $ 100 prizes
And
One thousand tickets are sold at $ 5 each
Now,
If the person bought 1000 tickets then the prize he gets is
= 900 + 600 + 3×400 + 4×100
= 900 + 600 + 1200 + 400
= $3100
And
The cost of 1000 tickets = 5×1000 = $ 5000
Now,
Price 1 ticket = $ 3.1
⇒Expectation of 1 ticket = 5 - $ 3.1 = $ 1.9 (Here $5 is price of 1 ticket)
⇒Expected value for 4 tickets = $ 4× -1.9 = $ 7.6
⇒Expected value for 4 tickets = $ 7.6
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Simplify the expression.
2.4-5.4n3n+6
...
2.4-5.4n-3n+6=
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
8.4-16.2n²
Step-by-step explanation:
2.4-5.4n3n+6
= 2.4-16.2n²+6
= 8.4-16.2n²
please help precalculus. Given the following piecewise function:
The values of the functions defined in the piecewise function are f(0) = 5 and f(-4) = 11
How to evaluate the piecewise function?From the question, we have the following piecewise function that can be used in our computation:
f(x) = | x + 5 x < -2
x² + 2x + 3 x ≥ -2
Evaluating the function f(0)
In this function, we have the x value to be
x = 0
This x value is at the domain x < -2
So, we make use of
f(x) = x + 5
Substitute 0 for x in f(x) = x + 5
f(0) = 0 + 5
Evaluate
f(0) = 5
Evaluating the function f(-4)
In this function, we have the x value to be
x = -4
This x value is at the domain x ≥ -2
So, we make use of
f(x) = x² + 2x + 3
Substitute -4 for x in f(x) = x² + 2x + 3
f(-4) = (-4)² + 2(-4) + 3
Evaluate
f(-4) = 11
Hence, the value of f(-4) is 11
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a statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. the 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. suppose the distribution of the population of number of pushups that can be done is approximately normal. if we would like to capture the population mean with 95% confidence the margin of error would be .
The true mean number of pushups that can be performed, as determined by the t-distribution, is within a 95% confidence interval of (9, 21).
Since we know the sample standard deviation for this issue, the t-distribution is applied.
Given,
The sample mean, x = 15 .
The sample standard deviation, s = 9 .
The sample size, n = 10 .
As a result, df = 9. Next, we determine the number of degrees of freedom, which is one less than the sample size.
The crucial value for a 95% confidence interval is then determined by looking at the t-table or using a calculator, yielding t = 2.2622.
The margin of error;
M = t × s/n
Then,
M = 2.2622 × 9/√10 = 6
The confidence interval is:
x ± M
Then
x - M = 15 - 6 = 9
x + M = 15 + 6 = 21
Therefore,
The confidence interval is (9, 21).
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