Name the SI Units for length, mass, time, current, amount of substance, temperature and luminous intensity. Also give their symbols. Also, what are angstroms?

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:

60m^3

Step-by-step explanation:

In order to find the volume of this shape, you must solve the volume of the 2 different portions separately. You can do this by considering both of them to be rectangular prisms.

The smaller portion has a length of 1, a height of 2, and a depth(? im not sure if its called depth) of 3, you can get the 3 from the depth(?) of the larger one.

Since the volume of a rectangular prism is length x width x depth(?), the smaller figure has an volume of 6 m cubed, or 6m^3

The larger figure has a length of 6, a height of 3, and a depth(?) of 3, meaning you can multiply 3 x 3 x 6, which gives 54, which means the larger figure's volume is 54m^3

Now, you add the volumes of both figures, which gives a volume of 60m^3.

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

Answer:

$8741.40

Step-by-step explanation:

Shantel's net worth is $5,480.80. Her liabilities are $3,260.60.

What is the amount of her assets?

We Take

5,480.80 + 3,260.60 = $8741.40

So, her amount of assets is $8741.40

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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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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1/7 is the probability of getting both lights to be red.

In this problem, we want the conditional probability that both showed red, given that they both showed the same color, hence the outcomes are given as follows:

Desired outcomes: same color and red.

Total outcomes: same color.

The outcomes which result in the same color are given as follows:

Red - red, with 6/7 x 1/6 = 1/7 probability.

Green - green, with 1/7 x 3/10 = 3/70 probability.

Meaning that the conditional probability is calculated as follows:

p =1/7.

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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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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

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:

m = y2 - y1 / x2 - x1

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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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 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:

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

= 2(47) = 94

Answer:

Step-by-step explanation:

thhh

The solid figure that  has triangular base 6 edges 3 triangular faces and 1 common vertex is option (D) Triangular Pyramid.

A triangular pyramid is a geometric solid with a triangular base and three triangular faces that meet at a single vertex point. It has six edges, with each edge connecting the base to the vertex point. The base of the pyramid can be any type of triangle, and the height of the pyramid is the perpendicular distance from the vertex point to the plane of the base.

Triangular pyramids are commonly found in architecture and can be used in the design of roofs or decorative features. They are also used in mathematics to explore various properties, such as surface area, volume, and Euler's formula. In addition, triangular pyramids have applications in physics, such as in the study of crystal structures and the analysis of molecular geometry.

Therefore, the correct option is (D) Triangular Pyramid.

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The given question is incomplete, the complete question is:

Which solid figure has triangular base 6 edges 3 triangular faces and 1 common vertex

A. Cone

B. Square pyramid

C. Triangular prism

D. Triangular pyramid

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:

50%

Step-by-step explanation:

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:

The solution is 24

Step-by-step explanation:

z = 7

w = 5

2z + 2w

we enter the numbers

2(7) + 2(5)

= 14 + 10

= 24

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:

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.

The total number of ways the students cab be selected is 715 under the condition that there are 13 students in a class, and 4 of them will be chosen to go on a field trip.

This can be possible by applying  the formula for combination
nCr = n! / r!(n-r)!
Here
n = total number of students
r =  number of students to be chosen.
For the given case, there are total 13 students in a class and 4 of them will be chosen to go on a field trip.
Therefore,
n = 13
r = 4
Staging these values into the formula
13C4
= 13! / (4! × (13-4)!)
= 715

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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 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:

3.2

Step-by-step explanation:

The probability of selecting one ball that is either odd or a number 4 ball is 11/20.

To find the probability of selecting one ball that is either odd or a number 4 ball, you should first identify the number of odd balls and then add the number 4 ball if it is not already included.

Here are the steps to calculate the probability:

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