The population of bacteria in an experiment
increases by 90% each day. If there were 100
bacteria at the beginning, how many would
there be after 5 days?
Future Amount = [?] microorganisms
Hint: Future Amount = [(1 +
I(1 + r)
←time
periods
initial
growth
amount rate
Round to the nearest whole number.

By probability , S = {D, I, V, S, O, N}  is the sample space for choosing one card .

Describe probability using an example ?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

                             The probability formula states that the ratio between the number of favorable outcomes and the total number of outcomes determines the likelihood that an event will occur. The number of favorable outcomes divided by the total number of outcomes is the probability of an event occurring, or P(E).

S = {V, S, I, D, I, I, N, O}

S = {D, I, S, O, N}

S = {V, I, O}

S = {D, I}

S = {D, I, V, S, O, N}  is the sample space for choosing one card .

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Answer:

C

Step-by-step explanation:

That's your answer.

....

Answer:

1. 53

2. 20

3. 37

4. 29

Step-by-step explanation:

Since your trying to find the hypotenuse you equation is...

1. 28^2 + 45^2 = C^2

    784 + 2025 = C^2

      Square Root 2809= C^2

    C=53

So after you square root 2809 you get 53.

2. 12^2 + 16^2 = C^2

     144 + 256 = C^2

      Square Root 400 = C^2

    C=20

So after you square root 400 you get 40.

3.  12^2 + 35^2 = C^2

    144 + 1225 = C^2

    Square Root 1369 = C^2

   C=37

So after you square root 1359 you get 37.

4. 20^2 + 21^2 = C^2

   400 + 441 = C^2

  Square root 841 = C^2

  C=20

So after you square root 841 you get 29.

Answer:

3/3

Step-by-step explanation:

Divide by 2 each time to find the simplest form until they can't be divided into a whole number. 24÷2=12÷2=6÷2=3

12÷2=6÷2=3

Answer:

22

Step-by-step explanation:

if a=15

then, 2(a-5)+2= 2(15-5)+2 = 2(10)+2= 20+2=22

Answer:

The answer should be -8x

Step-by-step explanation:

You would use distiputive property and multiple four by negitive two and you would end up getting -8x

Answer:

7p

Step-by-step explanation:

Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.

Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!

Answer:

5

Step-by-step explanation:

Input the given values of p and q into the expression and solve:

\(\frac{p+q}{3}\)

\(\frac{9+6}{3}\)

9 + 6 = 15

\(\frac{15}{3} = 5\)

The value of the expression is 5.

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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Answer:

B. Times 3 by 2 with any number, that's your answer

the answer is B. 2x+3

x equals the amount of daisies

the amount of daisies or x times 2 then add 3

Answer: 1.905

Step-by-step explanation:

75 percent *2.54

= (75/100)*2.54

= (75*2.54)/100

= 190.5/100 = 1.905

Answer:

i think it is 1.905

Step-by-step explanation:

Identifying the type of graph and its key features helps in finding the equation of the graph.

The equation of a graph represents the relationship between variables (usually x and y) and can be used to determine the position of points on the graph. There are different types of graphs such as linear, quadratic, and exponential, each with their own specific equation form.

For example, a linear graph's equation is in the form y = mx + b, where m is the slope and b is the y-intercept.

Identifying the type of graph and its key features helps in finding the equation of the graph.

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If x and y are squared and x2 and y2 have the same coefficient, then the equation is a circle. A circle's equation, for instance, is 3x2+3y2 = 12.

the circle produced by the formula (x 3)2 + (y + 3)2 = 9. A circle's center and radius are entirely responsible for determining its graph. The equation of a circle is (xh)2+(yk)2=r2, which is its standard form. The radius is r units, and the coordinates of the center are (h,k). Mark locations on the circle's graph that are r units up, down, left, and right of the center.

The radius of a circle may be calculated from its circumference using the formula r = c / (2 * ). If you know the diameter of a circle, d, you can calculate its radius using the formula r = d / 2.

It is a circle equation if x and y are squared and their respective coefficients are equal. For instance, the equation of a circle is 3x2+3y2 = 12.

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Midsegment is half the parallel side:

ORT is isosceles, the angles O and R are equal and measure:

IRN is isosceles, the angles N and I are equal and measure:

ABC is isosceles, the angles A and B are equal and measure:

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Is valid

a• (b+c) = ab + ac. Its called distributive property

We note here that, are equivalents

a= 2

b= x

c= -y

Then in conclusion , both are the same expression

Answer:

im pretty sure you just divide the amount of money byt the amount it costs

Step-by-step explanation:

Answer:

108 ads

Step-by-step explanation:

If the agent has $972 to spend and each ad costs $9, then you divide 972/9=108

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Answer:

5/9 = 0.5

Step-by-step explanation:

hope it helps leme know if u hab doubts

The size of the angle PRQ is approximately 26.565 degrees.

Since PQ and QR are two sides of a regular 12-sided polygon, they are congruent, and the polygon can be divided into 12 congruent isosceles triangles with base PQ and QR.

Let's call the center of the polygon O. Since the polygon is regular, the angle POQ is 360/12 = 30 degrees. Also, since PR is a diagonal of the polygon, it divides angle POQ into two congruent angles, each measuring 15 degrees.

Now, let's consider the triangle PQR. We know that angle PQR is 180 - (15 + 15) = 150 degrees (since the sum of angles in a triangle is 180 degrees).

Using the Law of Cosines, we can find the length of PR:

PR² = PQ² + QR² - 2(PQ)(QR)cos(angle PQR)

PR² = PQ² + QR² - 2(PQ)(QR)cos(150)

PR² = PQ² + QR² + (PQ)(QR)

Since PQ = QR, we can simplify this to:

PR² = 2(PQ²) + PQ²

PR² = 3(PQ²)

Therefore,

PQ² = (1/3)(PR²)

Now, let's consider the triangle PRQ. We know that PQ is a side of the polygon, so it has length 1 (we can choose any unit of length we like). Also, we know that QR is a side of a regular 12-sided polygon, so we can use the formula for the side length of a regular polygon:

QR = 2PQsin(180/12) = PQ√(6 + 2sqrt(3))

Substituting PQ = 1, we get:

QR = √(6 + 2√(3))

Finally, we can use the Law of Cosines again to find the angle PRQ:

cos(angle PRQ) = (PQ² + QR² - PR²) / (2PQQR)

cos(angle PRQ) = (1 + 6 + 2√3) - PR^2) / (2√(6 + 2√(3)))

Substituting PR² = 3(PQ²) = 3, we get:

cos(angle PRQ) = (7 + 2√(3)) / (2√(6 + 2√(3)))

Taking the inverse cosine, we get:

angle PRQ = 26.565 degrees (to 3 decimal places)

Therefore,  the size of the angle PRQ is approximately 26.565 degrees.

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Answer:

D

Step-by-step explanation:

The maintenance manager of a trucking firm wishes to create a regression model based on four explanatory variables: (1) annual miles travelled, (2) average load weight, (3) average driving speed, and (4) oil change interval to anticipate when the first engine overhaul will occur. Data have been acquired for a sample of 25 vehicles based on driver logs and onboard computers, Based on given information, description of asked questions are as follow-

a. The maintenance manager can estimate the time until the first engine overhaul by building a regression model using the four explanatory variables: annual miles driven, average load weight, average driving speed, and oil change interval. In regression analysis, the manager can use the sample data of 25 trucks to estimate the relationship between the explanatory variables and the time until the first engine overhaul. By fitting the data to a regression model, the manager can obtain the coefficients for each explanatory variable, indicating their impact on the time until the first engine overhaul.

This model can then be used to forecast the time until the first engine overhaul for future trucks based on their values for the explanatory variables.b-1. The competing hypotheses for testing the joint significance of the explanatory variables are as follows:

- Null hypothesis (H0): The coefficients of all four explanatory variables are equal to zero (no significant relationship).

- Alternative hypothesis (Ha): At least one of the coefficients of the explanatory variables is not equal to zero (significant relationship exists).

b-2. To determine the p-value for the test on joint significance, the manager needs to perform a statistical test, such as the F-test, to assess the overall significance of the explanatory variables. The p-value represents the probability of obtaining the observed test statistic or a more extreme value, assuming the null hypothesis is true. The specific p-value can be obtained from the F-distribution.

b-3. The conclusion to the test on joint significance depends on comparing the obtained p-value to the predetermined significance level (in this case, 10%). If the p-value is less than 0.10, the manager can reject the null hypothesis and conclude that the explanatory variables have a joint significant effect on the time until the first engine overhaul. Conversely, if the p-value is greater than or equal to 0.10, there is insufficient evidence to reject the null hypothesis, indicating that the explanatory variables do not have a joint significant effect.c-1. To assess the individual significance of the explanatory variables at the 10% significance level, the following competing hypotheses can be specified for each variable:

- Null hypothesis (H0): The coefficient of the individual explanatory variable is equal to zero (no significant relationship).

- Alternative hypothesis (Ha): The coefficient of the individual explanatory variable is not equal to zero (significant relationship exists).

c-2. To determine the p-values and conclusions for the tests on individual significance, the manager needs to perform separate statistical tests for each explanatory variable, such as t-tests. The p-value represents the probability of obtaining the observed test statistic or a more extreme value, assuming the null hypothesis is true.

If the p-value is less than 0.10, the manager can reject the null hypothesis and conclude that the individual explanatory variable is significant. On the other hand, if the p-value is greater than or equal to 0.10, there is insufficient evidence to reject the null hypothesis, indicating that the individual explanatory variable is not significant at the 10% significance level.

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Answer:

\(2(2y - 6) + 4y \\ 2(2y) - 2(6) + 4y \\ 4y - 12 + 4y \\ 8y - 12\)

I hope I helped you^_^

Answer:

8y-12

Step-by-step explanation:

2(2y−6)+4y

2(2y)−2(6)+4y

4y−12+4y

8y−12

The formula for calculating the required sample size to estimate the population mean with a 90% confidence level is given by:

n = ((z_(α/2)×σ) / E)²Here, z_(α/2) is the z-value for the given level of confidence (90% in this case), σ is the population standard deviation (6.8 in this case), and E is the maximum error we can tolerate (0.02 in this case).

Substituting the given values in the formula, we get:

n = ((z_(α/2)×σ) / E)²n = ((1.645×6.8) / 0.02)²n = 1910.96

Rounding up to the nearest whole number, we get the required sample size to be 1911.

Therefore, a sample size of 1911 is required to estimate the population mean with a 90% confidence level and an error of less than 0.02.

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Answer:

Option A

Step-by-step explanation:

Option A

f(x) = -3(x + 7)(x + 4),

Remember that to solve for the x-intercepts we equate y to 0,

-3(x + 7)(x + 4) = 0

Using the zero product property,

x + 7 = 0, x + 4 = 0

x = - 7, x = -4

x -intercepts: (- 7, 0) & (- 4, 0)

Hence proved.

Answer:

(-1,0) and (5,0)

Step-by-step explanation:

The roots are the points where the y-value is 0 and the point lies exactly on the x-axis.

(blank,0)

In this parabola, the points that are exactly on the x-axis is (-1,0) and (5,0)

Answer:

I believe its A

Step-by-step explanation:

Answer:

35 square units

Step-by-step explanation:

Area of the parallelogram = 7*5 = 35 square units

Answer:

5,207,000,000

Step-by-step explanation:

5.207 * 10^9

5,207,000,000

Easy!

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