Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol for the indicated parameter. An entomologist writes an article in a scientific journal which claims that fewer than 7 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.

A) H0: p > 0.0007 H1: p ? 0.0007

B) H0: p = 0.0007 H1: p > 0.0007

C) H0: p < 0.0007 H1: p ? 0.0007

D) H0: p = 0.0007 H1: p < 0.0007

Answers

Answer 1

The null hypothesis in symbolic form is H0: p ≥ 0.0007

The alternative hypothesis in symbolic form is Ha: p < 0.0007

We have,

The null hypothesis in symbolic form is H0: p ≥ 0.0007

This means that the true proportion of male fireflies unable to produce light is greater than or equal to 7 in ten thousand.

The alternative hypothesis in symbolic form is Ha: p < 0.0007

This means that the true proportion of male fireflies unable to produce light is less than 7 in ten thousand.

Thus,

The null hypothesis in symbolic form is H0: p ≥ 0.0007

The alternative hypothesis in symbolic form is Ha: p < 0.0007

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Related Questions

1. A probability experiment which outputs a single number is a(n) _______________ ________________.
(two words)​​​
2. A discrete random variable can output either a finite or a(n) ______________(countably, uncountably)
infinite number of values.
3. A continuous random variable has its values in one or more __________________. An example is the __________________ distribution whose density function is the horizontal line from X=a to X=b.
4. The _________________ __________________ (two words) of a discrete random variable lists every possible value that the variable can assume and the corresponding probabilities.
5. For a(n) _________________ random variable, a sample is drawn with replacement, or there is a large population size. Successive trials are independent of each other. There is a categorical variable with 2 possible values. The ________________(population, sample) is of a fixed size n.
6. For a ____________________ random variable, a sample is drawn without replacement. Successive trials are dependent on each other. There is a ____________________ (population, sample) of finite size N and a categorical variable with 2 possible values. The sample is of a fixed size _______ (N, n, p, q, r).
7. For each blank, include both the formula and the exact answer; do not use a calculator.
Given a uniform distribution with the sample space [1, 4], the height of its density function is ________________ and it has mean ________________ and standard deviation __________________.
8. The ___________________ ____________________ (two words) distribution has a density function that is bell shaped and symmetric. Its mean is 0 and its standard deviation is 1.
9. The ___________________ is also known as the average, expectation and expected value.
10. The ___________________of a discrete random variable can be found by taking the product of each outcome and its probability and then summing.
11. The ______________________ (one word!) of a discrete random variable can be found by subtracting the square of its mean from the expectation of the square of the random variable.

Answers

1. Single outcome
2. Countably
3. Intervals, Uniform
4. Probability Distribution
5. Binomial, Population
6. Hypergeometric, Population, N
7. Density function = 1/3, Mean = 2.5, Standard deviation = 0.82
8. Standard Normal
9. Mean
10. Expected value
11. Variance

Find the value of X for the following

Answers

The answer is X = 10

Answer:

x = 8.1

Step-by-step explanation:

According to Euclidean theorem:

10² = 12 × (2x - 8)

Multiply inside the parenthesis with 12.

10² = 24x - 96

Find the second power of 10.

100 = 24x - 96

Add 96 to both sides.

100 + 96 = 24x

Add the expressions.

196 = 24x

Divide both sides by 24.

8.1 = x approximately

Rita draws an angle with a measure of 20 degrees. Which statement about Rita's angle
is true?
A It turns through 20 one-degree angles.
B
It turns through 20 360-degree angles.
C
It turns through one-twentieth of a circle.
D
It turns through one-twentieth of a protractor.

Answers

The statement "It turns through one-twentieth of a circle" is accurate. Then the correct option is C.

Given that:

Rita draws an angle with a measure of 20 degrees.

An angle is a unit of rotation created when two rays share the same vertex or endpoint. Since an angle is a measurement of rotation, it may also be measured in degrees. A circle has 360 degrees of arc.

360 degrees is the length of a circle's complete rotation. The rotation of one-twentieth (1/20) of a full revolution, or one-twentieth of a circle, is equivalent to a measurement of 20 degrees.

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Good-afternoon everyone! This past week I've managed to finish up some math work. However, I want to make sure I didn't make any errors in the process of solving and if I did, I want to know how to fix them and make sure I don't make those errors next time. If anyone would be willing to check my work, I would deeply appreciate it! Basically, the question is asking to give the error that the student made and to find the correct area & volume of the cone. For the surface area, I got an answer of 1244.1 meters squared. For the volume, I got an answer of 2787.6 meters squared. Thank you so much for your time and help! :) ​

Answers

you're correct, Jan used the height instead of the slant-height, which is needed for the SA, so hmm well, we really don't know the slant-height, hmmm let's find it, keeping in mind the slant-height is just the hypotenuse of either triangular cross-section

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{L}\\ a=\stackrel{adjacent}{11}\\ o=\stackrel{opposite}{22} \end{cases} \\\\\\ L=\sqrt{ 11^2 + 22^2}\implies L=\sqrt{ 121 + 484 } \implies L=\sqrt{ 605 }\implies L=11\sqrt{5} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{surface area of a cone}\\\\ SA=\pi rL + \pi r^2~~ \begin{cases} r=radius\\ L=slant~height\\[-0.5em] \hrulefill\\ r=11\\ L=11\sqrt{5} \end{cases}\implies SA=\pi (11)(11\sqrt{5})+\pi (11)^2 \\\\\\ SA=121\pi \sqrt{5}+121\pi \implies \boxed{SA\approx 1230.14~m^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=11\\ h=22 \end{cases}\implies V=\cfrac{\pi (11)^2(22)}{3}\implies \boxed{V\approx 2787.64~m^3}[/tex]

What rational number can you multiply by -7/3 in order to get a product of 1? What is the relationship between these rational numbers? Explain your reasoning .

Answers

Answer:

-3/7

Step-by-step explanation:

-7/3 × ? = 1

-7/3 × -3/7 = 1

you see how both the three's and Steven's canceled out resulting in one as the answer. also it has to be a negative 3/7 since two negative signs in multiplication result in a positive sign.

The following data were used in a regression study.
Observation 1 2 3 4 5 6 7 8 9
xi
2 3 4 5 7 7 7 8 9
yi
4 5 4 6 4 6 9 6 11
(a)
Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)
ŷ =

Answers

The estimated regression equation for these data is ŷ = 0.69x + 2.15

Developing an estimated regression equation for these data

From the question, we have the following parameters that can be used in our computation:

Observation 1 2 3 4 5 6 7 8 9

xi 2 3 4 5 7 7 7 8 9

yi 4 5 4 6 4 6 9 6 11

Using a graphing tool, we have the following calculation summary

Sum of X = 52Sum of Y = 55Mean X = 5.7778Mean Y = 6.1111Sum of squares (SSX) = 45.5556Sum of products (SP) = 31.2222

Regression Equation: ŷ = bX + a

Where

b = SP/SSX = 31.22/45.56 = 0.68537

a = MY - bMX = 6.11 - (0.69*5.78) = 2.15122

So, we have

ŷ = 0.68537x + 2.15122

Rounding the numerical values to two decimal places, we have

ŷ = 0.69x + 2.15

Hence, the estimated regression equation for these data is ŷ = 0.69x + 2.15

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Help me!!!!!! I have to turn this in in a few min

Answers

We can use the standard form of the quadratic function, which is f(x) = ax^2 + bx + c, to write an equation for this function.

First, we can find the value of "a" by using the fact that the function is quadratic. We know that the second differences between the values of f(x) are constant, which means that a = 1/2(16 - 2(15) + 12) = -1/2.

Next, we can use the point (0, 15) to find the value of "c". Plugging in x = 0 and f(x) = 15, we get:

15 = (-1/2)(0)^2 + b(0) + c

So c = 15.

Finally, we can use another point, such as (-4, 12), to find the value of "b". Plugging in x = -4 and f(x) = 12, we get:

12 = (-1/2)(-4)^2 + b(-4) + 15

Simplifying this equation, we get:

12 = 8 - 4b + 15

-11 = -4b

b = 11/4

Putting it all together, we get the equation:

f(x) = -1/2x^2 + 11/4x + 15

We have a right prism whose base is a pentagon. Its height is 10ft. The area of the base is [tex]20ft^{2}[/tex]. Solve for LSA and TSA.

Answers

The LSA of prism is  157  square feet.

The TSA of prism is  169.738  square feet

We have,

Height = 10 feet

Area of base = 20 square feet

So, area of pentagonal base = 1/4 √5 (5 + 2√5) a²

20 = 1/4 √5 (5 + 2√5) a²

a = 3.14

Now, LSA of prism

= 5bh

= 5(3.14)(10)

= 157  square feet

and, TSA of prism

= 5 x 2(20)/ 15.7  + 157

= 169.738 square feet

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A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.

input 1 2 3 4 n
output 5 2 −1 −4

Answers

The linear function is solved and the output is y = -3n + 8

Given data ,

Let the linear function be represented as A

Now , the value of A is

The table of inputs = { 1 , 2 , 3 , 4 , n }

The table of outputs = { 5 , 2 , -1 , -4 , a }

So , the first point is P ( 1 , 5 ) and second point is Q ( 2 , 2 )

Slope m = ( 5 - 2 ) / ( 1 - 2 )

m = -3

And , the equation of line is y - 5 = -3 ( x - 1 )

Adding 5 on both sides , we get

y = -3x + 8

Now , when the input is n , the output is

y = -3n + 8

Hence , the equation is y = -3n + 8

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The population of a town is modeled by the function f(x) = 465(1 + 0.003) x, where x is the time in years. What type of change does this function represent?

Answers

The function represents an exponential growth.

What type of change does this function represent?

A general exponential function can be written as:

y = A*(1 + r)^x

Where A is the initial value and r is the rate of change, and if r > 0 we have a growth, if -1 < r < 0 we have a decay.

Here f(x) = 465(1 + 0.003)^x is the population function, we can see that the value of r is positive, thus, the function is an exponential growth.

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1. Fill in the balance sheet below with each of Rosa's assets and liabilities. Calculate (add up) her total assets and total liabilities. Then calculate her net worth. (15 points) Cash Assets ($) Checking account Liabilities ($) Student loans Credit card(s) balance(s) Net Worth ($) TOTAL ASSETS - TOTAL LIABILITIES​

Answers

Answer:

Balance Sheet:

Cash Assets ($)

Checking account: $2,000

Liabilities ($)

Student loans: $10,000

Credit card(s) balance(s): $500

Total Assets: $2,000

Total Liabilities: $10,500

Net Worth: Total Assets - Total Liabilities

Net Worth: $2,000 - $10,500

Net Worth: -$8,500

Therefore, Rosa's total assets are $2,000, her total liabilities are $10,500, and her net worth is -$8,500. This indicates that her liabilities exceed her assets, and she has a negative net worth.

Write the equation of the line that passes through the points (-2, -1) and (2, 11)

Answers

The equation of the line that passes through the points (-2, -1) and (2, 11) will be y = 3x + 5.

Given that:

Points, (-2, -1) and (2, 11)

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The equation that passes through (-2, -1) and (2, 11) is calculated as,

(y + 1) = [(11 + 1) / (2 + 2)](x + 2)

y + 1 = 3x + 6

y = 3x + 5

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Tessa puts 50 marbles in a bag. The number of marbles of each color is shown in the table
below.
Tessa reaches into the bag and randomly selects one marble. What is the probability that the
marble Tessa selects is green?
50
20
2
2/3
Red
15
NUMBER OF MARBLES
Green
20
Blue
10
Yellow
5
A1/50
B1/20
C2/5
D2/3

Answers

____________________________________

Green Marbles: 20Blue Marbles: 10Yellow Marbles: 5Red Marbles: 15Total Marbles: 50= 20 ÷ 50 × 100 = 40% There Is A 40% Chance That Tessa Will Select A Green Marble.

____________________________________

Which of the following new vehicle borrowers is likely to be offered the lowest APR?

A. Tyler who is buying a used vehicle and has a FICO score of 780

B. Daniel who is buying a used vehicle and has a FICO score of 600

C. Stephanie who is buying a new vehicle and has a FICO score of 780

D. Emily who is buying a new vehicle and has a FICO score of 600

Answers

Answer: C. Stephanie who is buying a new vehicle and has a FICO score of 780.

Step-by-step explanation: The Annual Percentage Rate (APR) is the interest rate charged on a loan.  Lenders consider various factors when determining the APR, including the borrower's credit score and the type of vehicle being financed.

In this scenario, Stephanie has a FICO score of 780, which indicates a strong credit history and responsible financial behavior.  Lenders generally view higher credit scores as an indication of lower credit risk.  As Stephanie is buying a new vehicle, lenders may consider this a lower-risk loan compared to financing a used vehicle.

Lower credit risk and the lower risk associated with financing a new vehicle are factors that could result in Stephanie being offered a lower APR compared to Tyler (option A), who is buying a used vehicle, and Daniel (option B), who has a lower FICO score of 600.

It's important to note that other factors, such as the lender's policies, market conditions, and individual loan terms, can also influence the APR offered to borrowers.

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Find the area of the composite figure below.

Answers

Answer:

Step-by-step explanation:

185

What is the net income from the following income statement? Income Statement Sales Returns $12,800 ($360) Net Sales COGS Gross Profit Overhead ($2,500) Net Income ($8,000) net income = $ [?] ​

Answers

The net income from the given income statement is $7,440. This is calculated by subtracting the overhead expenses from the gross profit.

To calculate the net income, we need to subtract all expenses from the gross profit.

First, we need to calculate the Net Sales by subtracting the Sales Returns of $360 from the Sales of $12,800

Net Sales = Sales - Sales Returns

Net Sales = $12,800 - $360

Net Sales = $12,440

Next, we can calculate the Gross Profit by subtracting the Cost of Goods Sold (COGS) from the Net Sales

Gross Profit = Net Sales - COGS

Gross Profit = $12,440 - $2,500

Gross Profit = $9,940

Now, we can calculate the Net Income by subtracting the Overhead expenses from the Gross Profit

Net Income = Gross Profit - Overhead

Net Income = $9,940 - $2,500

Net Income = $7,440

Therefore, the net income from the given income statement is $7,440.

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120 was divided by a particular number, then 7 was taken from the quotient. afterwards, this difference was multiplied by 5. giving a product of 25. find the particular number.

Answers

The particular number from the given equation is 10.

Given that, 120 was divided by a particular number.

Let the particular number be x.

Here, 120/x

7 was taken from the quotient

120/x -7

The  difference was multiplied by 5.

5(120/x -7)

Giving a product of 25

5(120/x -7)=25

120/x -7=5

120/x=12

120=12x

x=120/12

x=10

Therefore, the particular number from the given equation is 10.

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how do i find the sample size of x-bar chart in order to find A2 from upper control limit and lower control limit formulas?
(i hope this makes sense)

Answers

It should be noted that to discover the required sample size for an x-bar chart, you must first determine the values of the upper and lower control limit (UCL & LCL) based on the process descriptions and the desired level of restriction.

How to determine the sample

The equations for UCL and LCL are:

UCL = x + A2R

LCL = x - A2R

Where x denotes the average of the mean samples, R represents the ambit of the means, and A2 stands for a constant value rooted in the amount of the sample..

Utilizing these values, then one can apply the formulas of UCL & LCL to solve for the constant A2,  which is utilized to calculate the boundaries of the chart.

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Professor Dorsey is grading papers in the teachers' lounge. She has already finished grading 21 assignments, and is grading 2 more assignments per hour. Her teaching assistant just came in to help her. She can grade at a rate of 9 assignments every hour. At some point, they will be finished and will have graded the same number of papers. How many assignments will they each have graded? How long will that take?


Professor Dorsey and her assistant both will have graded ___ assignments in
___hours.

HELPPP

Answers

Let's start by setting up an equation to represent the situation. Let "x" be the number of hours they work together, and "y" be the number of assignments they each grade. We know that Professor Dorsey has already graded 21 assignments, and is grading 2 more assignments per hour. Her assistant can grade 9 assignments every hour. So, the equation is:

21 + 2x = 9x + y

Simplifying this equation, we get:

y = 7x + 21

Since they will have graded the same number of papers, we can set their number of assignments equal to each other:

7x + 21 = 9x

2x = 21

x = 10.5

So, they will work together for 10.5 hours. To find the number of assignments they each graded, we can substitute the value of "x" into the equation we derived earlier:

y = 7x + 21
y = 7(10.5) + 21
y = 73.5

Therefore, Professor Dorsey and her assistant will each have graded 73.5 assignments in 10.5 hours. However, since they cannot grade a fraction of an assignment, we can round down to the nearest whole number. So, they will each have graded 73 assignments in 10.5 hours.


Last week, the price of oranges at the farmer's market was $2.00 per pound. This week,
the price has decreased by 20%. What is the price of oranges this week?

Answers

2.00- 20 precent equals 1.6

What’s 80% of $500 worth items

Answers

Answer:

$400

Step-by-step explanation:

80% = 80/100 = 8/10 = 0.8

0.8(500)=400

write the following using rational exponents
4√5

Answers

The numerical expression 4√5 in the rational exponents will be [tex]4\cdot \left ( 5 \right)^\frac{1}{2}[/tex].

Given that:

Numerical expression: 4√5

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The expression is also written as,

[tex]\rightarrow 4 \sqrt5\\\\\rightarrow 4 \cdot \left ( 5 \right)^\frac{1}{2}[/tex]


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The average GPA of a random sample of 31 college students who take evening classes was calculated to be
2.74 with a standard deviation of 0.07. The average GPA of a random sample of 18 college students who
take daytime classes was calculated to be 2.73 with a standard deviation of 0.03. Test the claim that the
mean GPA of night students is larger than the mean GPA of day students at the .05 significance level.
Claim: Select an answer which corresponds to [Select an answer
Opposite: [Select an answer which corresponds to [Select an answer
The test is: Select an answer
The test statistic is: t-
The P-value is: Select an answer
Based on this we: Select an answer
(to 2 decimals)
Conclusion There Select an answer appear to be enough evidence to support the claim that the mean
GPA of night students is larger than the mean GPA of day students.

Answers

The results of the two-sample t-test, there does not appear to be enough evidence to support the claim that the mean GPA of night students is larger than the mean GPA of day students.

To test the claim that the mean GPA of night students is larger than the mean GPA of day students, we can perform a two-sample t-test. The null hypothesis is that there is no difference in the mean GPAs between the two groups, while the alternative hypothesis is that the mean GPA of night students is larger than the mean GPA of day students.

Using the given data, we can calculate the test statistic as follows:

t = (2.74 - 2.73) / sqrt((0.07^2 / 31) + (0.03^2 / 18)) = 0.45

The degrees of freedom for this test are 31 + 18 - 2 = 47. Using a t-table or calculator, we can find that the p-value for this test is approximately 0.326.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means that we do not have enough evidence to support the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.05 significance level.

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Use (SH)RATEY to graph the given rational function. H(x)=2x/x^2-2x+1

Answers

The graph of the rational function is attached in the solution.

Given is a rational function we need to graph it,

h(x) = [tex]\frac{2x}{x^2-2x+1}[/tex]

So,

Finding the coordinates by putting the values of x and finding the corresponding values of h(x), the plot them on the graph and join, the curve obtained will be the graph of the function.

Hence, the graph is attached.

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Consider functions fand g.
f(x)= log (x-1)
g(x)= 1/3x2 - 4
Which statement gives the best approximation of the solutions of the equation f(x) = g(x)?
=
OA.
The solutions are where the graphs of the functions cross the x-axis at ≈ -3.464and ≈ 3.642.
OB. The solutions are where the graphs of the functions intersect at
-3.464and ≈ 3.464.
OC. The solutions are where the graphs of the functions intersect at
land ≈ 3.642.
OD. The solutions are where the graphs of the functions cross the x-axis at ≈ -4and ≈ 0.422.
d

Answers

The solutions are where the graphs of the functions intersect at x = 1 and the value at x ≈ 3.642

Given data ,

Let the first function be f ( x )

Now , the value of f ( x ) = log ( x - 1 )

Let the second function be g ( x )

g ( x ) = ( 1/3 )x² - 4

On simplifying the equation , we get

f ( x ) = g ( x )

On plotting the graph , we get the point of intersection at x = 1 and x = 3.642

Hence , the solution of equations are x = 1 and x = 3.642

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Answer:

x = 1 and x = 3.642

Step-by-step explanation:

Plato/Edmentum

A truck Can be rented from company A for $60 a day plus $0.30 per mile. Company B charges $40 a day plus $0.70 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for company A a better deal than company B’s?

Answers



Let's represent the number of miles driven in a day by "m".

The cost of renting from company A can be represented by the equation:
Cost_A = 60 + 0.3m

The cost of renting from company B can be represented by the equation:
Cost_B = 40 + 0.7m

To find out how many miles must be driven in a day to make the rental cost for company A a better deal than company B's, we need to set the two equations equal to each other and solve for "m":

60 + 0.3m = 40 + 0.7m

Simplifying the equation, we get:

20 = 0.4m

Dividing both sides by 0.4, we get:

m = 50

Therefore, if the number of miles driven in a day is greater than 50, it would be more cost-effective to rent from company A. If the number of miles driven is less than 50, it would be more cost-effective to rent from company B.

worth 20 points

A net of a rectangular pyramid is shown in the figure.

A net of a triangular prism with base dimensions of 4 inches by 6 inches. The larger triangular face has a height of 4 inches. The smaller triangular face has a height of 4.6 inches.

What is the surface area of the pyramid?

33.2 in2
66.4 in2
90.4 in2
132.8 in2

Answers

It is not possible to determine the surface area of the rectangular pyramid from the given information. The net only shows the shape of the pyramid, but not its dimensions. Without knowing the dimensions, it is not possible to calculate the surface area.

Find the area of the following colored regions.

Answers

Step-by-step explanation:

r = 4 m

d = 2 × r

d = 2 × 4

d = 8 m = s

Area of square = s × s

= 8 × 8

= 64 m²

Area of circle = πr²

= 3.14 × 4 × 4

= 50.24²

Area of colored region = A. Square - A. Circle

= 64 - 50.24

= 13.76 m²

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The mass of one sample of bacteria, in grams, grows according to the expression 8x + 1 , where x is time in hours from now. Another sample of bacteria grows according to the expression 2x − 5 . How long ago did the two samples have the same mass? What was their mass?

Answers

The mass of the sample before one hour is negative 7.

Given that:

Mass of the first sample, m₁ = 8x + 1

Mass of the second sample, m₂ = 2x - 5

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The number of hours when the mass of the samples is the same. Then we have

m₁ = m₂

8x + 1 = 2x - 5

6x = - 6

x = - 1

The mass of the sample before one hour is calculated as,

m₁ = 8(-1) + 1

m₁ = - 8 + 1

m₁ = - 7

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Eli has 38 in cash and 72 on gift card he says that when he rounds to the nearest 10 tickets he has about a $100 is he correct explain

Answers

Eli's statement is incorrect. Since $10 is greater than $5, we cannot round $110 to $100 when rounding to the nearest 10.  

   

To determine if Eli is correct, we need to add the amount of cash he has with the value of his gift card;      

$38 + $72 = $110

Since Eli says that he has about a $100 when he rounds to the nearest 10, we need to check whether $110 rounds to $100 or not. To round to the nearest 10, we look at the last digit of the number, which is 0 in this case. If the last digit is 5 or greater, we round up to the next multiple of 10. If the last digit is less than 5, we round down to the previous multiple of 10.

Since the last digit of $110 is 0, we don't need to round up or down. $110 is already a multiple of 10. Therefore, Eli is incorrect in saying that he has about a $100 when he rounds to the nearest 10. He actually has $110.  

Alternatively, we can check if $110 is within $5 of $100, which is the threshold for rounding to the nearest 10.

$110 - $100 = $10

Therefore, Eli's statement is incorrect.

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