correct answer will get brainliest.

31.
At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which expression represents how much the temperature changed?

a. |19|

b. |-19|

c. |-30|

d. |-38|

A graphical plot with sales on the Y axis and time on the X axis is a:

a. Scatter diagram.

Using a single variable on each axis, the scatter diagram plots pairings of numerical data in an effort to identify any relationships between them. A line or curve will be formed by the points if the variables are correlated. The points will hug the line closer the more highly correlated the data is. You may also visualise the strength of any relationship. If the researcher believes there may be a correlation, a line of greatest fit can also be drawn on the graph.

Data points are shown on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another.

Thus, correct option: a

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Given c = 10.5, m∠A = 30, and m∠B = 52, we can use the Law of Sines to find b. Rounded to the nearest tenth, b ≈ 8.0.

Given b = 20, a = 26, and m∠A = 65, we can use the Law of Sines to find m∠B. Rounded to the nearest tenth, m∠B ≈ 47.5.

Given a = 125, m∠A = 42, and m∠B = 65, we can use the Law of Sines to find c. Rounded to the nearest tenth, c ≈ 154.3.

Given c = 18.4, m∠B = 35, and m∠C = 52, we can use the Law of Sines to find a. Rounded to the nearest tenth, a ≈ 10.5.

Given a = 12.5, m∠A = 50, and m∠B = 65, we can use the Law of Sines to find b. Rounded to the nearest tenth, b ≈ 15.2.

1)To find the length of side b, we can use the Law of Sines. The formula is:

b/sin(B) = c/sin(C)

Plugging in the given values:

b/sin(52) = 10.5/sin(180 - 30 - 52)

Using the sine addition formula:

b/sin(52) = 10.5/sin(98)

Cross-multiplying:

b * sin(98) = 10.5 * sin(52)

Dividing both sides by sin(98):

b = (10.5 * sin(52)) / sin(98)

Calculating the value:

b ≈ 7.96

Rounded to the nearest tenth:

b ≈ 8.0

2)To find the measure of angle B, we can use the Law of Sines. The formula is:

sin(B)/b = sin(A)/a

Plugging in the given values:

sin(B)/20 = sin(65)/26

Cross-multiplying:

sin(B) = (20 * sin(65)) / 26

Taking the inverse sine:

B ≈ \(sin^{(-1)\)((20 * sin(65)) / 26)

Calculating the value:

B ≈ 47.5

Rounded to the nearest tenth:

B ≈ 47.5

3)To find the length of side c, we can use the Law of Sines. The formula is:

c/sin(C) = a/sin(A)

Plugging in the given values:

c/sin(65) = 125/sin(42)

Cross-multiplying:

c * sin(42) = 125 * sin(65)

Dividing both sides by sin(42):

c = (125 * sin(65)) / sin(42)

Calculating the value:

c ≈ 154.3

Rounded to the nearest tenth:

c ≈ 154.3

4)To find the length of side a, we can use the Law of Sines. The formula is:

a/sin(A) = c/sin(C)

Plugging in the given values:

a/sin(35) = 18.4/sin(52)

Cross-multiplying:

a * sin(52) = 18.4 * sin(35)

Dividing both sides by sin(52):

a = (18.4 * sin(35)) / sin(52)

Calculating the value:

a ≈ 10.5

Rounded to the nearest tenth:

a ≈ 10.5

5)To find the length of side b, we can use the Law of Sines. The formula is:

b/sin(B) = a/sin(A)

Plugging in the given values:

b/sin(65) = 12.5/sin(50)

Cross-multiplying:

b * sin(50) = 12.5 * sin(65)

Dividing both sides by sin(50):

b = (12.5 * sin(65)) / sin(50)

Calculating the value:

b ≈ 15.2

Rounded to the nearest tenth:

b ≈ 15.2

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The complete question is :

Given the measures of AABC. answer the following question. Then round off answers to the nearest tenths.

1. If c = 10.5, m∠A = 30, m∠ B=52, find b.

2. If b=20, a = 26, m∠ A= 65, find m ∠ B.

3. If a = 125, m∠A=42, m ∠ B=65, find c.

4. If c= 18.4, m∠ B = 35, m ∠ C= 52, find a.

5. If a = 12.5, m∠A = 50, m∠ B = 65, find b

Answer:

C

Step-by-step explanation:

6x^2 + 2x - 8

Multiply the (6) to the -(8) to get x^2 by itself.

x^2 + 2x  - 48

Solve -

(x-6)(x+8) = x^2 + 2x  - 48

However, you must divide out the (6) you multiplied.

(x-6/6) =

(x-1)

(x+8/6) =

(3x + 4)

Therefore, 2(3x + 4)(x-1) is your answer.

EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.

Answer:

Im not certain but I think 7.5% If you get another answer which is different trust them not me if u get one which is the same it should be correct

The interest rate was 7.5% when borrowing $600 for one year and paying $45.00 interest.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $600

Time (T) = 1 year

Simple interest = $45.00

⇒ Simple interest = P × R × T

Substitute the value of P, and T in the above formula, and solve for R

⇒ 45.00 = 600 × R × 1

⇒ 45.00 = 600R

⇒ R = 45.00/600

⇒ R = 0.075

⇒ R = 7.5/100

⇒ R = 7.5%

Therefore, the interest rate was 7.5%.

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a. The minimum sample size needed is 601.

b. The minimum sample size needed using a prior study is 304.

c. The difference between the results from parts (b) and (a) shows that a preliminary estimation of the population proportion can lower the necessary minimum sample size.

The signed, fractional number of standard deviations above the mean value that an event is above is expressed by the dimensionless variable known as the z-score. Among other names, it is also referred to as the normal score, z-value, and standard score. Z-scores are indicative of values that are higher than the mean and lower than the mean.

(a) To find the minimum sample size needed assuming that no prior information is available, we can use the formula:

n = (Zα/2)² *\(\hat p \hat q\)/ E²

where Zα/2 is the z-score corresponding to the desired level of confidence (90% confidence corresponds to a z-score of 1.645), \(\hat p\) is the sample proportion (unknown), \(\hat q = 1 - \hat p\), and E is the maximum error of estimation (2% of the true proportion, or 0.02).

Plugging in the values, we get:

n = (1.645)² * 0.5*0.5 / 0.02² ≈ 601

Consequently, 601 is the required minimum sample size.

(b) To find the minimum sample size needed using a prior study that found that 42% of the respondents said they think Congress is doing a good or excellent job, we can use the formula:

n = (Zα/2)² * \(\hat p \hat q\) / E²

where now we have a preliminary estimate of the population proportion, \(\hat p = 0.42, and \hat q = 1 - \hat p.\)

Plugging in the values, we get:

n = (1.645)² * 0.42*0.58 / 0.02² ≈ 304

Therefore, the minimum sample size needed using a prior study is 304.

(c) The result from part (b) is smaller than the result from part (a), indicating that having a preliminary estimate of the population proportion can reduce the minimum sample size needed. This is because a preliminary estimate can provide a starting point for the sample size calculation, and reduce the variability of the sampling distribution.

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For the given graph local maximum (2.1,0.7), end behavior is positive infinity to negative infinity, local minimum (-2.7,-4.9), y interception (0,-1.5), and x interception will be at (2.1,0.7).

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the graph with 1 maximum and 1 minimum and 1 x and y-intercept.

A key feature of the polynomial graph ;

Local maximum (2.1,0.7),

End behavior is positive infinity to negative infinity,

Local minimum (-2.7,-4.9),

y interception (0,-1.5),

x interception (2.1,0.7).

Hence "For the given graph local maximum (2.1,0.7), end behavior is positive infinity to negative infinity, local minimum (-2.7,-4.9), y interception (0,-1.5), and x interception will be at (2.1,0.7)".

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9514 1404 393

Answer:

  101

Step-by-step explanation:

  1² + 10² = 1 + 100 = 101 . . . sum of 1st and 10th square numbers

Answer:101

Step-by-step explanation:yw

Answer:

If in fraction form... → \(3 \frac{1}{8}\)

If in decimal form... → \(3.125\)

Step-by-step explanation:

\(\frac{37}{16} + \frac{13}{16} = \frac{37+13}{16}\)

\(= \frac{50}{16}\)

= 50 ÷ 2 over 16 ÷ 2

\(= \frac{25}{8} = 3\frac{1}{8}\)

Therefore, \(3\frac{1}{8}\) is your final answer.

Hope this helped! :^)

Answer:

\(\frac{1}{8}\) or \(3.125\)

Step-by-step explanation:

The largest possible domain of W(t) is [0, 300].

Levi has 5 hours to work on a research paper and he can type 80 words per minute. The function W(t) = 80t represents the number of words Levi produces in t minutes of typing. We want to find the largest possible domain of W(t). The domain of W(t) is the set of all possible input values of t that make the function W(t) defined. So, we need to find out the maximum number of minutes Levi can work for. We know that he has 5 hours to work, and there are 60 minutes in one hour.

Therefore, he has a total of: 5 hours × 60 minutes/hour = 300 minutes Thus, the domain of W(t) is the set of all real numbers between 0 and 300 inclusive. We include 0 because Levi can type for 0 minutes (i.e. he hasn't started typing yet), and we include 300 because that's the maximum number of minutes he has available to type in. Hence, the largest possible domain of W(t) is [0, 300].

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The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

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Answer:

17+5i

Step-by-step explanation:

add the like terms

double negative equals positive

;)

Answer:

17+i

Step-by-step explanation:

The probability that there are at least 10 neutrophils in a field of 50 bone marrow cells, given that the probability of a single bone marrow cell being a neutrophil is 0.2, is approximately 0.034.

In this problem, we are given that the number of neutrophils in a field of 50 bone marrow cells follows a binomial distribution with a probability of success, i.e., the probability of a single bone marrow cell being a neutrophil, p=0.2. We need to find the probability that there are at least 10 neutrophils in the field.

To solve this problem, we can use the cumulative distribution function (CDF) of the binomial distribution. The CDF gives the probability of getting up to a certain number of successes in a given number of trials.

Using a binomial distribution calculator or a statistical software package, we can find that the probability of getting 10 or more neutrophils in the field is approximately 0.034. Therefore, the probability that there are at least 10 neutrophils in the field is 0.034.

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Question: In a laboratory biopsy, a field of 50 bone marrow cells is observed under a microscope. A special dye is inserted, which only the neutrophils absorb. Then, the number r of neutrophils in the field is counted. What is the probability that there are at least 10 neutrophils in the field if the probability of a single bone marrow cell being a neutrophil is 0.2? Assume that the number of neutrophils in the field follows a binomial distribution.

The result of the mathematical operation \(\sqrt{10}\) × \(\sqrt{10}\) is 10.

To calculate the result of this operation we need to perform the following mathematical operations:

\(\sqrt{10}\) * \(\sqrt{10}\) = \(\sqrt{10 * 10}\)

\(\sqrt{10 * 10}\) = \(\sqrt{100}\)

\(\sqrt{100}\) = 10

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Answer:

the answer is 2 4/5

Step-by-step explanation:

there are two wholes plus 4 out of 5 pieces, so it is 2 and 4/5.

Answer:

the answer is 4x a

Step-by-step explanation:

hope it helps

The system and the average waiting time, would require more specific details about the system's initial conditions and observation period to be calculated accurately.

The single-phase waiting-line system mentioned in the question follows the assumptions of constant service time, which is known as the M/D/1 queuing model. In this model, units arrive at the system with an average inter-arrival time of 12 minutes, while the service time for each unit is a constant 10 minutes.

In the M/D/1 queuing model, the "M" represents a Poisson arrival process, indicating that the arrivals follow a Poisson distribution. The "D" stands for constant or deterministic service time, meaning that the service time is fixed and does not vary. Lastly, the "1" signifies that there is only one server in the system.

With this information, we can analyze various performance measures of the system, such as the average number of units in the system, the average waiting time, and the utilization of the server.

To calculate these performance measures precisely, we would need additional information, such as the number of units already in the system when it starts or the duration of the observation period. However, based on the M/D/1 model, we can make some general observations.

Since the arrival rate is known (units arrive every 12 minutes on average), and the service time is constant at 10 minutes, the utilization of the server can be calculated as the ratio of service time to the inter-arrival time:

**Utilization = Service Time / Inter-arrival Time = 10 minutes / 12 minutes = 0.8333 (or 83.33%)**

The utilization provides insight into the efficiency of the system and can be used to evaluate its performance. In an M/D/1 system, high utilization can lead to increased waiting times and congestion.

Other performance measures, such as the average number of units in the system and the average waiting time, would require more specific details about the system's initial conditions and observation period to be calculated accurately.

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The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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Approximately 3372 babies weighed more than 4 kg out of the 9256 babies born at the hospital last year.

To determine approximately how many babies weighed more than 4 kg, we can use the normal distribution and the given information about the average weight and standard deviation.

Since we know that the weights of newborns at this hospital closely follow a normal distribution, we can use the Z-score formula to find the proportion of babies weighing more than 4 kg. The Z-score measures how many standard deviations a particular value is from the mean.

First, we calculate the Z-score:

Z = (X - μ) / σ

Z = (4 - 3.39) / 0.55

Z ≈ 1.1

Using a standard normal distribution table or a calculator, we can find the proportion of babies weighing more than 4 kg corresponding to the Z-score of 1.1. This proportion represents the area under the curve to the right of 4 kg.

Let's assume that the proportion is approximately 0.3643. To find the number of babies, we multiply this proportion by the total number of babies born at the hospital:

Number of babies = 0.3643 * 9256 ≈ 3372

Therefore, approximately 3372 babies weighed more than 4 kg.

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Answer:

50

Step-by-step explanation:

1450 is half of 2900

The mean of the five numbers 223, 264, 216, 218, and 229 is 230.

To calculate the mean, follow these steps:
1. Add the numbers together: 223 + 264 + 216 + 218 + 229 = 1150
2. Divide the sum by the total number of values: 1150 / 5 = 230
The mean represents the average value of the dataset. In this case, the mean value of the five numbers provided is 230, which gives you a central value that helps to understand the general behavior of the dataset. Calculating the mean is a bused in statistics to summarize data and identify trends or patterns within a set of values.

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By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

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Answer:

Step-by-step explanation:

Let the distance be x

Then Jonathan biked for

His mother drew for

The time difference is

So we have

The coupon that gives the lower price, based on the percentage discounts is Coupon B.

To find the coupon that gives the lower price, apply the coupons to the price of the bicycle to see which value would be less after the coupon is applied.

Coupon A value after discount is:

= 81 x ( 1 - discount)

= 81 x ( 1 - 20%)

= $64.80

Coupon B value after discount is:

= 81 - 19

= $62

The coupon that gives the lower price is Coupon B.

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Answer:

cylinder

Step-by-step explanation:

A cylinder has 2 circular faces and no vertices.