Find the measures of the angles formed by​ (a) two consecutive radii and​ (b) a radius and
​(a) The measure of the angle formed by two consecutive radii is ____

Answer:

  (c)  15 + h > 100

Step-by-step explanation:

You want a math model for the situation in which Tom has attended flight school for 15 hours, will attend for h more hours, and want the total to exceed 100 hours.

The total number of hours in flight school will be the sum of the 15 already attended and the h hours that will be attended. This total needs to be more than 100:

  15 + h > 100 . . . . . . matches choice C

<95141404393>

Answer:

50%

Step-by-step explanation:

The rounded values of test statistic ,p-value 0.94 and 0.348.

The null hypothesis is given by H₀, p = 0.5.

Final conclusion is we cannot claim that we should replace passwords with biometric security as fail to reject null hypothesis.

Total number of people = 454

Percent of people replace passwords with biometric​ security = 52.2%

The test statistic is z = 0.9386, the critical z-value at a 0.01 significance level is +2.5758, and the p-value is 0.3479.

The test statistic is z = 0.94 rounded to two decimal places.

The P-value is 0.348 rounded to three decimal places.

The null hypothesis is H₀, p = 0.5, where p denotes the population proportion of people .

Who say that we should replace passwords with biometric security.

Since the P-value 0.348 is greater than the significance level 0.01 we fail to reject the null hypothesis.

Based on the results of the test, do not have sufficient evidence to conclude that the proportion of people.

Who say that we should replace passwords with biometric security is different from 0.5.

In other words, we cannot reject the claim that half of us say that we should replace passwords with biometric security.

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The above question is incomplete, the complete question is:

In a newspaper's survey of 454 people, 52.2% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Statdisk display results from a test of the claim that half of us say that we should replace passwords with biometric security. Use the normal distribution as an approximation to the binomial distribution.

a. Use the display and a 0.01 significance level to complete parts (a) through (e). Sample proportion: 0.5220264

Test Statistic, z: 0.9386

Critical z: +2.5758

P-value: 0.3479

b. What is the test statistic? Z= (Round to two decimal places as needed.) c. What is the P-value? P-value = (Round to three decimal places as needed.)

d. What is the null hypothesis, and what do you conclude about it? the null hypothesis. The null hypothesis is H₀, p , where p denotes the population proportion of people who say that we should replace passwords with biometric security. (Type an integer or a decimal. Do not round.)

e. What is the final conclusion? There is sufficient evidence to the claim that half of us say that we should replace passwords with biometric security.

The donation to the chi-square test statistic for men who named business networking as the most important factor is 4.29.

To calculate the donation to the chi-square test statistic for men who named business networking as the most important factor, we need to calculate the anticipated frequency and the donation for that cell.

The anticipated frequency for a cell is calculated as

anticipated frequency) = ( row aggregate) *( column aggregate)/( grand aggregate)

The row aggregate for the" business networking" row is 105, the column aggregate for the men is 1000, and the grand aggregate is 2000. thus, the anticipated frequency for the cell corresponding to men who named business networking is

anticipated frequency) = ( 105) *( 1000)/( 2000) = 52.5

To calculate the donation, we use the formula

donation) = (( observed frequency- anticipated frequency) 2)( anticipated frequency)

For men who named business networking, the observed frequency is 45. Plugging in the values, we get

donations = (( 45-52.5) 2)(52.5) = 4.29

thus, the donation to the chi-square test statistic for men who named business networking as the most important factor is 4.29

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The probability that the disc is either blue or white is 11/59

Given that

number of blue discs : number of white discs = 6:5

number of blue discs : number of green discs = 1:8

So, we have

Blue : White = 6 : 5

Blue : Green = 1 : 8

This can be expressed as

Blue : Green = 6 : 48

So, we have

Blue : White : Green = 6 : 5 : 48

So, we have

Blue or White : Green = 11 : 48

So, the probability is

P = 11/(48 + 11)

Evaluate

P = 11/59

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The probability that calls last between 4.0 and 4.6 minutes is around 0.4332. 

To unravel this issue, we got to standardize the values and utilize the standard typical dispersion table or calculator.

To begin with, we discover the z-scores for 4.0 and 4.6 minutes:

z1 = (4.0 - 4.0) / 0.40 =0

z2 = (4.6 - 4.0) / 0.40 = 1.5

Employing a standard ordinary conveyance table or calculator, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:

P(0 ≤ Z ≤ 1.5) = 0.4332

Subsequently, the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332. 

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The speed of snow traveling at 40 feet per hour is equivalent to 20.41 centimeters per minute.

To convert the speed of snow from feet per hour to centimeters per minute, we need to use the appropriate conversion factors.

We convert 40 feet per hour to feet per minute by dividing it by 60, since there are 60 minutes in an hour. 40 feet per hour / 60 = 0.67 feet per minute

We convert feet to centimeters by multiplying by the conversion factor of 30.48, since there are 30.48 centimeters in a foot. 0.67 feet per minute * 30.48 = 20.41 centimeters per minute.

It's important to pay attention to units when making conversions, as it can significantly affect the accuracy of calculations. In this case, we made sure to use the appropriate conversion factors to convert between feet per hour and centimeters per minute.

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The probability that a patient shows improvement if it is known that the patient was given the drug is 0.7 or 70%.

Based on the information given in the table, the probability that a patient shows improvement if it is known that the patient was given the drug can be calculated as:

p(improvement | drug) = number of patients who improved and were given the drug / total number of patients who were given the drug

= 56 / (56 + 24)

= 0.7

Therefore, the probability that a patient shows improvement if it is known that the patient was given the drug is 0.7 or 70%. This suggests that the drug has a relatively high chance of leading to improvement in symptoms for patients with the particular condition being studied.

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Complete Question:

a study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. the results are shown in the table. based on this information, what is the probability that a patient shows improvement if it is known that the patient was given the drug? p(improvement | drug)

Answer:

Step-by-step explanation:

First of all , we know that mean simply means average . The formula for calculating average / mean is :

Sum of all entities ÷ by number of entities.

So , lets start with Sadie.

41+ 44 +46+ 46 +48=225

225 ÷5 =53

Therefore the mean of Sadie's mean was 53.

Now for Penelope.

We will use the same formula.

44+44+47+48+50=233

233÷5=46.6

Therefore Penelope's mean was 46.6.

We can see that Sophie had the highest mean .To find the difference just subtract the means.

The population density of the region is 5,750.2 people per square mile.

To find the population density, we need to take the quotient between the total population and the area.

Remember that the area of a circle of radius R is:

A = pi*R²

Where pi = 3.14

Here R = 6mi, then:

A = 3.14*(6mi)² = 113.04 mi²

Then the population density is:

D = 650,000/113.04 mi² = 5,750.2 people per square mile.

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Answer:

The height of the tree to the nearest foot is 75.

Step-by-step explanation:

The height is opposite the angle of elevation, and the 45 ft distance to the tree is adjacent to it.

tangent = opposite/adjacent

[tex]\frac{tan(59)}{1} = \frac{h}{45}[/tex]

h = tan(59) * 45

h ≈ 74.89

To the nearest foot, 74.89 is 75 ft.

Answer:

2((5)(4) + (5)(3) + (4)(3)) = 2(20 + 15 + 12)

= 2(47) = 94

The values are x = 26°, ∠1 = 130° and ∠7 = 50°.

Given that the two parallel lines a and b we need to find the value of angle 1,

So,

∠1 = ∠8 [alternate exterior angle theorem]

∠8 + ∠7 = 180° [linear pair]

∠1 + ∠7 = 180°

Therefore,

5x + 2x-2 = 180°

7x = 182°

x = 26°

∠1 = 5(26)

∠1 = 130°

∠7 = 2(26)-2

∠7 = 50°

Hence the values are x = 26°, ∠1 = 130° and ∠7 = 50°.

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Answer: The table that could be the data the student collected is table D.

Step-by-step explanation: What is an electromagnet?

An electromagnet is described as a type of magnet in which the magnetic field is produced by an electric current and usually consist of wire wound into a coil.

If student builds an electromagnet using a variable power source and 40 turns of wire. We have it that the student changes the voltage and counts the number of paper clips that are picked up. The table described below could perfectly described the scenario.

This is Table D

Voltage (V)

3

6

9

12

Number of paper clips

9

18

27

36

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The given demand and supply of the function has ,

Equilibrium price is Rs. 14 and the equilibrium quantity is equal to 40 units.

The consumer surplus for the given function is Rs. 1,080.

The producer's surplus for the given function is Rs. 40.

Demand of the function 'Qd' = -2P + 68

Supply  of the function 'Qs' = 2P + 12

The equilibrium price and quantity by setting the demand equal to the supply.

⇒ Qd =  Qs

Setting Qd equal to Qs, we get,

⇒-2P + 68 = 2P + 12

Solving for P, we get,

⇒4P = 56

⇒P = 14

Substituting P back into either the demand or supply equation, we get,

⇒Qd = -2(14) + 68

        = 40

⇒Qs = 2(14) + 12

        = 40

So the equilibrium price is Rs. 14 and the equilibrium quantity is 40 units.

The consumer's surplus,

= The area below the demand curve and above the equilibrium price.

⇒ Consumer's surplus

= (1/2) x (Equilibrium quantity) x (Difference between maximum price and equilibrium price)

⇒ Consumer's surplus = (1/2) x (40) x (68 - 14)

⇒ Consumer's surplus = Rs. 1,080

The consumer's surplus is Rs. 1,080.

The producer's surplus

= The area above the supply curve and below the equilibrium price.

⇒ Producer's surplus

= (1/2) x (Equilibrium quantity) x (Difference between equilibrium price and minimum price)

⇒ Producer's surplus = (1/2) x (40) x (14 - 12)

⇒ Producer's surplus = Rs. 40

The producer's surplus is Rs. 40.

Therefore, for the given demand and supply function we have,

Equilibrium price and the equilibrium quantity is equal to Rs. 14 and 40units.

Consumer’s Surplus  is Rs. 1,080.

Producer's surplus is Rs. 40.

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The above question is incomplete , the complete question is:

Given the demand = −2P + 68 and the supply function = 2P + 12. Calculate

The equilibrium price and the equilibrium quantity

(a) the consumer’s surplus

(b) the producer’s surplus assuming pure competition

Answer:

(x-h)2 +(y-k)2=r2

Step-by-step explanation:

If the circle has a centre at (0, 5) and radius 3 the above equation becomes:

x2 +(y-5)2=32

We want to know the point where this circle intersects the line y=x+5 in the first quadrant. In order to do that, we substitute y=x+5 into the equation for the circle or:

x2 +(x+5-5)2=32

x2 +x2 =9

2x2 =9

x = 3 sqrt(2)/2 =2.1213

Substituting to this value into the second equation for y, we find:

y = 2.1213 + 5 = 7.1213

Consequently, the line intersects the circle at (2.1213, 7.1213)

Hope this helps :)

Answer:

m = y2 - y1 / x2 - x1

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Regular decagon: 1,440

Regular octagon: 1,080

regular 13-sided polygon: 1,980

regular 7-sided polygon: 900

Hope this helps! :)

Please mark brainliest, I'm trying to get to Ace level

Answer:

Step-by-step explanation:

thhh

The correct option is B, the 90% confidence interval estimate of the population mean speed is approximately 80 ± 1.1862 mph.

standard error = [tex]\frac{standard \:deviation}\sqrt{(sample \;size)}}[/tex]

Plugging in the values given, we have:

sample mean = 80 mph

standard deviation = 5 mph

sample size = 50

level of confidence = 90%

First, we need to find the critical value z from the standard normal distribution using a table or calculator. For a 90% confidence interval, the critical value is approximately 1.645.

Next, we can calculate the standard error:

standard error = [tex]5 / \sqrt{(50)[/tex]= 0.707

Finally, we can construct the confidence interval:

Confidence interval = 80 ± 1.645*(0.707)

Confidence interval = 80 ± 1.1862

Standard deviation is a measure of the variability or spread of a dataset from its mean or average. It is calculated by finding the square root of the variance, which is the average of the squared differences of each data point from the mean. A high standard deviation indicates that the data points are spread out over a wider range from the mean, while a low standard deviation indicates that the data points are closer to the mean.

Standard deviation is an important statistical tool in many fields, including finance, science, and engineering. It is commonly used in the analysis of data to describe the distribution of a set of values and to compare different sets of data. In finance, for example, standard deviation is used to measure the risk associated with an investment, while in science, it is used to quantify the variability of experimental data.

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Complete Question:-

Suppose we want to estimate the mean speed of trucks travelling on a particular highway. A simple random sample of 50 trucks visiting this highway is selected and their velocities are recorded. The sample provided a mean of 80 mph and a standard deviation of 5 mph. Assume the population of truck speeds is approximately normal. An 90% confidence interval estimate of the population mean speed is:

A. 80 ± 0.188

B. 80 ± 1.186

C. 80 ± 1.115

D. cannot be determined

Answer:

Step-by-step explanation:

Hi!!! Remember (SOHCAHTOA)

Sin= opposite/hypotenuse

Cosine= Adjacent/ hypotenuse

Tan= opposite/adjacent

SO, use the letter of the angle- and match this phrase.

answer 11= 5/12

answer 12= 7/25

answer 13= 4/5

answer 14= 5/12

If your p-value is 0.11 and the significance level is 0.05, you would conclude that there is insufficient evidence to reject the null hypothesis. In other words, you cannot establish a statistically significant relationship between the variables you are studying.

To explain this further, the p-value (0.11) represents the probability of observing the data, assuming that the null hypothesis is true. A smaller p-value indicates stronger evidence against the null hypothesis. The significance level (0.05) serves as a threshold to determine whether the p-value is small enough to reject the null hypothesis.

If the p-value is less than or equal to the significance level, you would reject the null hypothesis and conclude that there is a statistically significant relationship between the variables. However, in this case, the p-value (0.11) is greater than the significance level (0.05), which means that the probability of observing the data is not low enough to reject the null hypothesis.

Therefore, you cannot establish a statistically significant relationship between the variables, and the observed results could be due to chance or random variation.

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If customers bought an item after viewing their website on "certain-day" with 90% "confidence-level" and 5% "margin-of-error", then the number of customers they have to monitor is 264.

To estimate the proportion of customers who bought an item after viewing the retailer's website, the retailer needs to conduct a sample survey.

To determine the "sample-size" needed for the survey, we use the formula:

⇒ n = [Z² × p × (1 - p)]/E²,

where : n is = sample-size of customer,

Z is = z-score associated with confidence-level (90% confidence level corresponds to a z-score of 1.645),

p is = estimated proportion of customers who bought an item (in this case it is 58% = 0.58),

E is = margin-of-error (5% = 0.05),

Substituting the values,

We get,

⇒ n = [1.645² × 0.58 × (1 - 0.58)]/0.05²,

⇒ n = 263.67 ≈ 264,

Therefore, They have to monitor 264 customers.

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The correct option is :

Because the P-value is less than Alpha = 0.05, the student should reject H0.

H0:p = 0.30,Ha:p < 0.30

We have the information:

It was stated that the proportion of blue beads in the container is 0.30. Here, the interpretation of this value is :

The null hypotheses is 0.30

and, Alternative hypotheses is : 0.045

Therefore, Assuming the true proportion of blue beads in the container is 0.30, there is a 4.5% probability that the sample proportion would be 0.20 by chance alone.

So, Because the P-value is less than Alpha = 0.05, the student should reject H0.

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Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

Answer:

It looks like the angle between C and D are the same as between D and E, so the correct answer would be:

E. ∠CFD and ∠DFE

Brainliest? ;)

It helps a lot!

Answer:

A, C, E.

Step-by-step explanation:

Hope it helps. :)

If the body slides under action of its weight only , then the acceleration is (a) g - U.

Assuming that the question is asking for the acceleration of the body down the inclined plane:

The force of gravity acting on the body is given by F = mg, where m is the mass of the body and g is the acceleration due to gravity (9.8 m/s^2).

The force of friction acting on the body is given by Ff = Umg cos(0), where U is the coefficient of kinetic friction and cos(0) = 1 (since the angle between the plane and the horizontal is 0 degrees).

Since the body is sliding down the plane, the force of gravity is greater than the force of friction, and there is a net force acting on the body in the direction of motion. Using Newton's second law, F = ma, we can set up an equation relating the net force to the acceleration:

mg - Umg cos(0) = ma

Simplifying and solving for a, we get:

a = g - Ug cos(0)

Substituting cos(0) = 1, we get:

a = g - Ug

Therefore, the acceleration of the body down the inclined plane is (a) g - U.

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To determine the probability that a man and woman getting married both have at least a bachelor's degree, we need to make certain assumptions.

Firstly, we must assume that the probability of a man having at least a bachelor's degree is independent of the probability of a woman having at least a bachelor's degree. Additionally, we must assume that the population of men and women with at least a bachelor's degree is representative of the population of all married couples.
Assuming these conditions are met, we can estimate the probability of a man having at least a bachelor's degree as well as the probability of a woman having at least a bachelor's degree using data from the relevant population. We can then calculate the joint probability of both events occurring simultaneously by multiplying the probabilities of each event. Without data, it is difficult to provide an exact probability. However, according to the U.S. Census Bureau, as of 2019, approximately 35% of the U.S. population aged 25 and older have at least a bachelor's degree. Therefore, assuming that the probabilities are independent, the probability of a man having at least a bachelor's degree is approximately 0.35, and the probability of a woman having at least a bachelor's degree is also approximately 0.35.
Multiplying these probabilities together, we get an estimated probability of 0.1225 or 12.25% chance that a man and woman getting married both have at least a bachelor's degree. However, it's important to remember that this is only an estimate and may not hold true for all populations or regions.

To determine the probability that a man and a woman getting married both have at least a bachelor's degree, we need to make some assumptions and use the concept of probability.
Assumptions:
1. The probability of a man having a bachelor's degree is independent of the probability of a woman having a bachelor's degree.
2. We know the probabilities of a man and a woman having a bachelor's degree in the given population.
Let P(M) be the probability of a man having a bachelor's degree, and P(W) be the probability of a woman having a bachelor's degree. To find the probability of both the man and the woman having a bachelor's degree, we simply multiply these two probabilities:
P(both have bachelor's degree) = P(M) * P(W)
So, the probability that a man and a woman getting married both have at least a bachelor's degree depends on the individual probabilities of a man and a woman having a bachelor's degree in the population under consideration.

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