1. Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.75%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 33 h from the start of the experiment. Round to the nearest whole number.

Answer:58?

Step-by-step explanation:

\((2x + 12)^{\circ} + 32^{\circ} = 90^{\circ}\\2x + 12^{\circ} + 32^{\circ} = 90^{\circ}\\2x = 90^{\circ} - 12^{\circ} - 32^{\circ}\\2x = 46^{\circ}\\x = 23^{\circ}\)

Answer:

26

Step-by-step explanation:

For a centroid there is a 2:1 ratio for AG:GF and for BG:GD. Because BG is 40, GD is 20, so x is 2. Using that information, you can solve for AG. 19(2)+14, which is 52. This means that GF is 52/2 = 26.

By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

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Answer: a

Step-by-step explanation: I did the test

Answer:

The total cost is $6.25

Step-by-step explanation:

3/4 of 1 kilo of rect

4/5 of 1 kilo of square

3/5 of 1 kilo of flower

rect = 3 per kilo

square = 3 per kilo

flower = 3 per kilo

First rectangle beads:

3x = y where x is number of kilos and y is full cost

3(3/4) = y

9/4 = y = 2 1/4 = $2.25

Second square beads:

3x = y where x is number of kilos and y is full cost

3(4/5) = y

12/5 = y = 2 2/5 = $2.20

Third flower beads:

3(x) = y where x is number of kilos and y is full cost

3(3/5) = y

9/5 = y = 1 4/5 = $1.80

Add costs together

1.80 + 2.20 + 2.25 = 6.25

The total cost is $6.25

Answer:

y-7=3(x+2)

Step-by-step explanation:

Point Slope Form is:

\(y-y_1=m(x-x_1)\)

We are given the point of (-2, 7) and the slope of 3.

Plug in the appropriate values:

\(y-y_1=m(x-x_1)\rightarrow \boxed{y-7=3(x+2)}\)

Hope this helps.

The correct interpretation of the 99 percent confidence interval (22.5, 28.7) for the mean level of the contaminant in the water samples is: "We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 parts per billion and 28.7 parts per billion."

Because,

The confidence interval is constructed based on the sample data from 12 randomly selected samples of water, so it is a sample statistic, not a population parameter.

The confidence level of 99% means that if we repeated the sampling process many times, 99% of the time, the true population parameter (the mean level of contaminant in all the water in the region) would fall within the interval.

The interval (22.5, 28.7) is for the population mean, not for individual measurements or samples. It represents the range of plausible values for the true mean level of contaminant in the population, given the sample data and the level of confidence.

Finally, the units of measurement for the contaminant level are given as parts per billion, which is commonly abbreviated as "ppb". This means that, based on the sample data, there is a 99 percent probability that the true mean of the contaminant levels in the entire region falls within the range of 22.5 ppb to 28.7 ppb.

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Answer:

A and F

Step-by-step explanation:

Given

Intersecting lines

Required

The vertical and congruent angles

The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G

Comparing angles A, B, E and F; we have:

\(\angle A = \angle F\) --- Vertical opposite angles

\(\angle B = \angle E\) --- Vertical opposite angles

From the given options,

\(\angle A = \angle F\) is true

Answer:

2

Step-by-step explanation:

I'm not good at explaining it I just know that answer

Answer:

the answer is 2

Step-by-step explanation:

Answer:

I think the asnwer A or B !!

Step-by-step explanation:

The points all follow a pattern, where the difference between the absolute guessing error of consecutive guesses increases by 2.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


Guess | Absolute Guessing Error
2     | 12
15    | 1
10    | 4
8     | 6
12    | 2
19    | 5
20    | 4
5     | 9
7     | 7
9     | 5

The absolute guessing error is the absolute difference between the actual number and the person's guess. For example, the guess of 15 had an absolute guessing error of 1, since the difference between 15 and 14 is 1.

The graph of guesses and absolute guessing errors looks like a parabola. The lowest point, which corresponds to the correct guess of 14, is at 0 on the absolute guessing error axis. All the other guesses have a positive absolute guessing error. The points all follow a pattern, where the difference between the absolute guessing error of consecutive guesses increases by 2.

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The null distribution used for a hypothesis test of a single population proportion is the standard normal distribution. The correct answer is b).

When conducting a hypothesis test for a single population proportion, we use the standard normal distribution as the null distribution. This is based on the assumption that the sampling distribution of the sample proportion follows a normal distribution when the sample size is sufficiently large.

The hypothesis test for a single population proportion involves comparing the observed sample proportion to the hypothesized population proportion. We calculate the test statistic, which is the standard error of the sample proportion under the null hypothesis, divided by its standard deviation.

Since the test statistic follows a normal distribution under the null hypothesis, we compare it to critical values from the standard normal distribution to determine the p-value and make a decision regarding the null hypothesis.

Therefore, correct option is B.

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Answer:

14.42 m²

Step-by-step explanation:

S = 1/2bh ⇒

Gradient:

Area of slanted surface:

Answer:

14.42 m²

hope it helped:D

Statisticians calculate the Consumer Price Index (CPI) by combining the 80,000 prices of individual products using a weighted average based on their relative importance or expenditure weights.

The Consumer Price Index is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. To calculate the CPI, statisticians collect price data for a representative sample of approximately 80,000 individual products that are commonly purchased by urban consumers. These products cover a wide range of categories, including food, housing, transportation, healthcare, and more.

Each product's price is then multiplied by its respective expenditure weight, which represents the proportion of total consumer spending allocated to that product. These weights are determined through surveys and data analysis to reflect the typical spending patterns of urban consumers. The resulting values are then summed up to obtain a total expenditure amount.

To calculate the CPI, statisticians divide the total expenditure by a base period expenditure and multiply the result by 100. The base period is typically a reference point or benchmark year against which the price changes are measured. This process allows for tracking and comparing price changes in the basket of goods and services over time, providing insight into inflation and changes in the cost of living.

In summary, statisticians calculate the Consumer Price Index by combining the prices of 80,000 individual products using a weighted average based on their expenditure weights, representing the relative importance of each product in urban consumers' spending patterns. This method allows for measuring and monitoring changes in the overall price level and cost of living.

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The numbers in ascending order from small to large are: 0.079 inches, 0.7 inches, 0.7091 inches, and 0.762 inches.

To put these numbers in order from smallest to largest, we need to compare the first digit of each number. Starting with 0.079, this is the smallest number since it has the smallest first digit. Next comes 0.7 since it has a larger first digit than 0.079, but a smaller first digit than the remaining two numbers. Then we have 0.7091, followed by 0.762 which is the largest since it has the largest first digit. Therefore, the order from smallest to largest is 0.079, 0.7, 0.7091, and 0.762.

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Answer:

Never second guess yourself

Step-by-step explanation:

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

3:5 = 30:50 because it is ratio 3 x 10 = 30 5 x 10 = 50

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Disagree

Step-by-step explanation:

The decimal expansion may have a longer period than the division he carried out.

Answer:

and?

Step-by-step explanation:

The observed value of F (2.40) is less than the critical value of F (2.81), we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest that at least one group mean is different from the others.

(a)To estimate Li, we can use the formula Li = μ + τi, where µ is the population mean, and τi is the effect of the ith treatment.

The effect of the ith treatment is the difference between the mean response for the ith treatment group and the population mean (µ).Using the mean response for each treatment group,

we have:

L1 = 156.7 - 150 = 6.7

L2 = 165.3 - 150 = 15.3

L3 = 150.7 - 150 = 0.7

L4 = 144.7 - 150 = -5.3

Thus, the estimated Li are:

L1 = 6.7

L2 = 15.3

L3 = 0.7

L4 = -5.3

Null hypothesis:H0: τ1 = τ2 = τ3 = τ4 = 0

Alternative hypothesis:Ha: At least one τi ≠ 0Part

(c) Under the given condition, we will use the Welch's test instead of ANOVA.

Here, the null hypothesis states that all groups have equal means, while the alternative hypothesis states that at least one group differs from the others.

The observed value of the test statistic is given by:

F= frac{MS_{B}}{MS_{W}}

F= frac{MS_{B}}{frac{S_{1}^{2}}{n_{1}-1} + frac{S_{2}^{2}}{n_{2}-1} + frac{S_{3}^{2}}{n_{3}-1} + frac{S_{4}^{2}}{n_{4}-1}}

Here, MSB is the between-group mean square, MSW is the within-group mean square, n is the number of observations, and S2 is the variance for each group.

From the given data, we have:

MSB = MSE = 0.771S1^2 = 0.222S2^2 = 1.200S3^2 = 0.555S4^2

                    = 0.667

n1 = n2 = n3 = n4 = 10

Substituting the values, we get:

F= frac{0.771}{frac{0.222}{9} + frac{1.200}{9} + frac{0.555}{9} + frac{0.667}{8}}

F = 2.40

The degrees of freedom for the between groups is 3, while that for the within groups is 34.

Therefore, at the α = 0.05 significance level, the critical value is F0.05(3, 34) = 2.81.

Since the observed value of F (2.40) is less than the critical value of F (2.81), we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest that at least one group mean is different from the others.

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The answer of

(A) SE(L1) = 0.278,  SE(L2) = 0.278,  SE(L3) = 0.278,      

     SE(L4) =0.346

B) The null hypothesis: = 0.

   alternative hypothesis: ≠ 0.

(C) the observed value of F (2.40) is less than the critical value of F (2.81),    

A) Estimation of Li and its standard error:

Underlying assumptions of the ANOVA model hold, then estimate Li and its standard error for i=1,2,3 is shown below:  Given, Total = 150

So, degree of freedom = 150 – 12 = 138

Li = frac{T_{i}}{10}

For i = 1,2,3.

T1 = 29 + 34 + 38 = 101.

T2 = 23 + 26 + 27 = 76.

T3 = 18 + 17 + 15 = 50.

So, L1 = 101/10 = 10.1

L2 = 76/10 = 7.6

L3 = 50/10 = 5

The sum of all Li is always equal to the total (ΣLi = Total).

Therefore L4 = 150/10 - (L1+L2+L3)

                      = 150/10 - (10.1+7.6+5)

                      = 6.7SE(Li)

                      = sqrt{frac{MSE}{10}}

Given, MSE = 0.771

So,SE(L1) = sqrt{frac{0.771}{10}} = 0.278

SE(L2) = sqrt{frac{0.771}{10}} = 0.278

SE(L3) = sqrt{frac{0.771}{10}} = 0.278

SE(L4) = sqrt{frac{2*0.771}{10}} = 0.346

B) Null hypothesis and alternative hypothesis for this comparison:We would like to compare μ2 with μ1.

The null hypothesis: H0: μ2 – μ1 = 0The alternative hypothesis: H1: μ2 – μ1 ≠ 0

C) Under the given condition, we will use the Welch's test instead of ANOVA.

Here, the null hypothesis states that all groups have equal means, while the alternative hypothesis states that at least one group differs from the others.

The observed value of the test statistic is given by:

F= frac{MS_{B}}{MS_{W}}

F= frac{MS_{B}}{frac{S_{1}^{2}}{n_{1}-1} + frac{S_{2}^{2}}{n_{2}-1} + frac{S_{3}^{2}}{n_{3}-1} + frac{S_{4}^{2}}{n_{4}-1}}

Here, MSB is the between-group mean square, MSW is the within-group mean square, n is the number of observations, and S2 is the variance for each group.From the given data,

we have:

MSB = MSE = 0.771S1^2 = 0.222S2^2 = 1.200S3^2 = 0.555S4^2

                    = 0.667

n1 = n2 = n3 = n4 = 10

Substituting the values, we get:

F=frac{0.771}{frac{0.222}{9} + frac{1.200}{9} + frac{0.555}{9} + frac{0.667}{8}}

F = 2.40

The degrees of freedom for the between groups is 3, while that for the within groups is 34.

Therefore, at the α = 0.05 significance level, the critical value is F0.05(3, 34) = 2.81.

Since the observed value of F (2.40) is less than the critical value of F (2.81), we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest that at least one group mean is different from the others.

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Solution:

Given the parallelogram below:

According to the properties of a parallelogram, the opposite sides are parallel and equal in dimensions.

Thus,

A) Height of the parallelogram:

The length BE is the height of the parallelogram, which is evaluated using the Pythagorean theorem.

According to the Pythagorean theorem,

Where

To evaluate h, we need to determine the value of EC.

Recall that

Thus, we have

We can now determine the value of h.

From the Pythagorean theorem,

Answer:

300 nickels

Step-by-step explanation:

Reading the question, someone has 435 nickels and dimes.

The total is $28.50.

You're trying to find how many nickels he has.

All you need to do is set up a system of equations.

I'm going to use x as the number of nickels and y as the number of dimes.

Based on the question, you can say that

x + y = 435

(the number of nickels and dimes have t equal 435)

and 0.05x + 0.1y = $28.50

(nickels are 5 cents and dimes are 10 cents)

You want to solve for x, the number of nickels.

You can manipulate the first equation by subtracting x on both sides.

After you do that, you will get y = 435 - x. Now, you can substitute this equation into the second one.

First, you can distribute the 0.1.

0.05x  + 0.1(435 - x) = 28.50

Then, you can put the two x's together.

0.05x + 43.5 -0.1x = 28.50

Next, you can subtract 43.5 on both sides to isolate x.

-0.05x + 43.5 = 28.50

Finally, you can divide on both sides to get x, which is the number of nickels.

-0.05x = - 15

x = 300 nickels

We know that

• You have 2 1/2 yards of fabric.

• You want to make 3 pillows.

To find the number of yards of fabric you can use for each pillow, we just have to divide. We know that 2 1/2 is equivalent to 5/2 yards.

Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.

Answer: B.

Answer:             5

Step-by-step explanation: because

Error margin, also known as margin of error, can be calculated by using the standard deviation or the confidence interval of a sample.

Error margin is a measure of the uncertainty associated with a sample estimate. It's used to indicate the level of accuracy of the sample estimate. The most common way to calculate the error margin is to use the standard deviation or the standard error of the sample estimate.

The standard deviation is a measure of the spread of the data and it tells you how much the data varies from the mean. The standard error is the standard deviation of the sampling distribution of a statistic. It tells you how much the sample estimate varies from the true population value.

Another way to calculate error margin is to use the confidence interval, which is a range of values that is likely to contain the population parameter with a certain level of confidence.

It's calculated by multiplying the standard error by a critical value from a t-distribution and adding or subtracting it from the sample estimate.Keep in mind that the error margin is not a measure of the precision of the measurement device, but it's a measure of the precision of the sample estimate.

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Answer:

4x - 1

Step-by-step explanation:

(–7x + 3) + (11x − 4)

−7x + 3 + 11x − 4

(−7x + 11x) + (3 − 4)

4x - 1

The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--