1. Write 1980 in scientific notation

A scientist might set a lower significance level to reduce the likelihood of a Type I error (false positive) and increase the confidence in their results.

When conducting a hypothesis test, a scientist uses statistical methods to evaluate the evidence for or against a proposed hypothesis.

The significance level of a hypothesis test is the probability of rejecting the null hypothesis when it is true, which is also known as a Type I error. In other words, a significance level of 0.05 means that there is a 5% chance of rejecting a true null hypothesis, and accepting a false alternative hypothesis.

Setting a lower significance level, such as 0.01, means that the scientist is willing to accept a higher level of confidence in their results and reduce the likelihood of making a Type I error.

This means that the researcher is willing to accept that there is only a 1% chance of rejecting a true null hypothesis, which is a more conservative approach.

There are several reasons why a scientist might choose to set a lower significance level.

First, if the consequences of a false positive are severe or costly, such as in medical research or engineering, then a lower significance level can help to minimize the risk of making a wrong decision.

Second, if the sample size is small, a lower significance level can help to reduce the impact of random variation and increase the confidence in the results.

Finally, if the effect size of the study is small, a lower significance level can help to ensure that the observed difference is not due to chance and is truly meaningful.

In summary, setting a lower significance level can help a scientist to increase the confidence in their results, reduce the likelihood of making a Type I error, and ensure that the observed difference is not due to chance.

However, it is important to balance the need for a high level of confidence with the practical considerations of the study and the potential consequences of a false positive.

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Answer:

first answer is 3×12=36

5×15=75

Answer:

Download the App "Photo Math"

Step-by-step explanation:

it will help you to solve all of your math problems.

Answer:

$1146.216

Step-by-step explanation:

Given data

Principal= $879

Rate= 19%

Time = 18months= 1.6 years

The expression for the simple interest is

A=P(1+rt)

substitute

A=879(1+0.19*1.6)

A= 897(1+0.304)

A= 879*(1.304)

A= $1146.216

Hence the amount to be paid is $1146.216

Answer:

She lives 1/5 miles away from the library

Step-by-step explanation:

Here, we want to get the distance that Sheila

lives from the library

From the question, we are told she lives 1/3 as far as Doreen

So what we have to do in this case is to simply multiply the distances

we have this as:

1/3 * 3/5 = 1/5

Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

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The dispersion, which represents the rate of change of the angle  \(\theta\) with respect to the wavelength \(\lambda\), is zero.

To differentiate the expression dsin(\(\theta\)) = m\(\lambda\), where d is the spacing between adjacent lines on the grating, \(\lambda\) is the wavelength, and m is the order of the maximum intensity, we need to differentiate both sides of the equation with respect to \(\theta\).

Differentiating dsin( \(\theta\)) = m\(\lambda\) with respect to  \(\theta\):

d/d \(\theta\) (dsin( \(\theta\))) = d/d\(\theta\) (m\(\lambda\))

Using the chain rule, the derivative of dsin( \(\theta\)) with respect to  \(\theta\) is d(cos( \(\theta\))) = -dsin( \(\theta\)):

-dsin( \(\theta\)) = 0

Since m\(\lambda\) is a constant, its derivative with respect to  \(\theta\) is zero.

Therefore, the differentiation of dsin( \(\theta\)) = m\(\lambda\) is:

-dsin( \(\theta\)) = 0

Simplifying the equation, we have:

dsin( \(\theta\)) = 0

The dispersion, which represents the rate of change of the angle  \(\theta\) with respect to the wavelength \(\lambda\), is zero.

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nswer:

Step-by-step explanation:

6*\(10^{6}\)------100

x-------40

x=6*10^6*4*10/100=24*10^5(social media)

6*\(10^{6}\)------100

y-------30

y=6*10^6*3*10/100=18*10^5(music)

6*\(10^{6}\)------100

z-------25

z=6*10^6*25/100=15*10^5(games)

6*\(10^{6}\)------100

f-------5

f=6*10^6*5/100=3*10^5(video)

A ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.

In mathematics, a ratio shows how frequently one number appears in another.

For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.

Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.

So, e are informed that the volume is halved, and the pressure increases by a factor of 2.5.

We shall therefore have:

PVγ = 2.5P(0.5V)γ

We'll condense this to:

(1/0.5)γ = 2.5

γ = In2.5/In2

γ = 1.32

The volume temperature relation is written as follows if the volume expands in an adiabatic process:

T1V1∧γ-1 = T2V2∧γ-1

T1V1∧1.32-1 = T2(0.5V1)∧1.32-1

Condensing this results in:

T₁ = 1.24T₂

Therefore, a ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.

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Answer:

They can chose the best song out or used others opinion.

Step-by-step explanation:

Answer:

Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.

It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.

Answer:

1.95 pls give brainly

Step-by-step explanation:

The products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 in the presence of a platinum catalyst are related as enantiomers.

Hence, the correct option is E.

Enantiomers are stereoisomers that are non-superimposable mirror images of each other. In this case, the (E)- and (Z)-isomers have different spatial arrangements around the C=C double bond. When they react with D2 in the presence of a platinum catalyst, the deuterium atoms add to the double bond, resulting in two new chiral centers.

Since the two isomers have different spatial arrangements around the double bond, the addition of deuterium atoms will produce enantiomeric products. Therefore, the products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 are related as enantiomers.

Hence, the correct option is E.

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Answer:

5.8 m

Step-by-step explanation:

Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8

The ladder can reach a height of 5.6 meters.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a ladder that is resting against a wall.

Now, assume that the ladder can reach a height of [x] meters. Then when  the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -

(6 x 6) = x² + (1.5 x 1.5)

x² = (6 x 6) - (1.5 x 1.5)

x² = 7.5 x 4.5

x² = 33.75

x = 5.6 meters

Therefore, the ladder can reach a height of 5.6 meters.

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Gabe spent approximately $81.82 at the mall if he bought 2 items.

The expression given to us is 18.91x + 21, where x represents the number of items Gabe bought at one store. We can interpret this expression as follows: For each item Gabe buys, he spends $18.91, and he also spends an additional $21 regardless of the number of items he buys. Therefore, if he buys n items at this store, he would spend 18.91n + 21 dollars.

Now, we are told that Gabe spent $23 at another store. To find the expression that represents the total amount he spent at the mall, we add the amount he spent at both stores. Therefore, the expression we are looking for is:

Total amount = 18.91x + 21 + 23

Simplifying this expression, we get:

Total amount = 18.91x + 44

This expression represents the total amount Gabe spent at the mall based on the number of items he bought at the first store.

To estimate how much money Gabe spent if he bought 2 items, we can substitute x = 2 into the expression we just derived:

Total amount = 18.91(2) + 44

Total amount = 37.82 + 44

Total amount = 81.82

Therefore, if Gabe bought 2 items, he would have spent approximately $81.82 at the mall.

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There could be 2000 different sets of 4 digits.

As the pin code is of 4 digits. There can be four possible positions to put numbers 0-9 to make the pin code.

The number is divisible by 2, hence only 0,2,4,6,8 can take the last position. So, here we have a total of 5 options to put.

The Pin code starts from Prime number, so only 1,3,5,7 can take the starting position. So, here we have a total of 4 options to put in the starting position.

The middle two positions can b filled by any numbers ranging from 0 - 9. So, for the middle positions we have 10 options for each position.

Here, we are asked that how many different sets are possible. Every 4 digit number is a different number.

To find the number of sets, we multiply and applying the concept of combinations, the total options available in their respective places,

4 x 10 x 10 x 5

2000.

So, there 2000 different sets of four digit numbers which could be the pin code of Zara.

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The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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The amount of water in each pool are 3600 liters and 2400 liters.

Suppose that we have to measure the rate of change of y as x changes, then we have:

\(Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\)

Noted that, we have to divide the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent .

Consider that x be the amount of time it takes both pipes draining together to empty the pool .

First pipe empties at the rate gives;

540,000/150 g=3600 liters/min

Second pipe empties at the rate gives;

540,000/225=2400 liters/min

Together, both pipes empties at the rate are;

3600+2400=6000 liters/min,

Therefore, our equation to solve is:

6000x = 540000

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The probability that at least one party will request a high chair is 0.2626

This is a binomial problem with number of trial (n) = 10, probability of success (p) = 0.03

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

Given: n = 10, p = 0.03, x ≥1

probability of failure (q) = 1 - 0.03 = 0.97

The probability that at least one party will request a high chair will be:

P(x ≥1 ) = 1 - P (x = 0)

P(x ≥1 ) = 1 - (1 × 0.03⁰ ×  0.97¹⁰⁻⁰)

P(x ≥1 ) = 1 - (1 × 1 × 0.97¹⁰)

P(x ≥1 ) = 1 -  (0.97¹⁰)

P(x ≥1 ) =  0.2626

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Corrected Question

When hugo is serving at a restaurant, there is a 0.03 probability that each party will request a high chair for a young child. During one hour, hugo served 10 parties. Assuming that each party is equally likely to request a high chair, what is the probability that at least one party will request a high chair?

Answer:

Step-by-step explanation:

It is going to be:

Answer:

$38.70

Step-by-step explanation:

21.5% = 0.215

$180.00 times 0.215 = $38.70

So, Sally's Commission is $38.70

Answer:

y = \(\frac13\)

Step-by-step explanation:

let the blank be y

3 * y = 1

3y = 1

Now, divide both sides by 3:

3y ÷ 3 = 1 ÷ 3

y = 1/3

-Chetan K

Answer:

Value of the blank (We assumed it as \(x\) while solving) :-

\( \boxed {\tt x = \cfrac{1}{3}} \)

Actual answer :-

\(\boxed{\tt \: 3 \times \boxed{\cfrac{1}{3}} = 1}\)

Step-by-step explanation:

Given equation :-

\(\sf 3 \times ? = 1\)

(Note: I wrote "?" instead of "blank".)

We need to find the value of the blank on this equation.

Solution:-

To solve Further let's us assume that the value of the blank be \(x\).

So, blank = \(x\)

The equation will be . . .

\(\sf \longmapsto3 \times x = 1\)

Let's solve out this equation !

\(\sf \implies3 \times x = 1\)

Multiply 3 and x on the LHS :-

\(\sf \implies3 x = 1\)

Hence the new equation would be 3\(x\)=1.

Now, Divide both sides by 3 :-

\(\sf \implies \: \cfrac{3x}{3} = \cfrac{1}{3} \)

Simplify this equation :-

Cancel 3 and 3 on the LHS, Leave \(x\) . 1/3 can't be cancelled.

\(\sf \implies \: \cfrac{ \cancel3}{ \cancel3x} = \cfrac{1}{3} \)

\(\sf \implies1x = \cfrac{1}{3} \)

As we know that x = 1x So,

\(\sf \implies \: x = \cfrac{1}{3} \)

This equation can't be simplified more.

Hence, the value of \(x\) would be 1/3.

Now,Put the value of \(x\) (1/3) on the given equation:-

\(\sf \implies \: 3 \times \: \cfrac{1}{3} \: = 1\)

We are done !

______________________________________

I hope this helps !

Let me know if you have any questions.

\(\Huge\sf :) \)

Answer:

Case study

Step-by-step explanation:

Case study: Case study method is used to find more information through carefully analyzing existing cases. It is very often used for business research or to gather empirical evidence for investigation purpose.

nvm lol 3/4( had to redo

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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The percentage decline in profits (to the nearest tenth) is 7.4%.

The smallest percentage fall in profits as a percentage of sales occurred in the food business between 1966 and 1970.  

A percentage is any quantity or ratio that may be expressed as a portion of 100. If we want to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. The proportion, therefore, denotes a component per 100. The word percent denotes a percentage of 100.

Percentage = (Difference / Total) * 100

According to the question,

Decline percentage = ((2.7-2.5)/2.7)*100

                                 = 7.4%

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1) library(lahmanrbroom)

model <- lm(runs ~ bb + hr, data = teams %>% filter(yearID == 1971))

tidy(model)

2) model2 <- lm(bb ~ year, data = tidy(model))

3) The p-value for this effect is significantly different from zero.

1) To obtain the effects of bb (walks) and hr (homers) on runs in 1971 using the teams data frame from the lahmanrbroom package and the tidy() function, the following code can be used:

library(lahmanrbroom)

model <- lm(runs ~ bb + hr, data = teams %>% filter(yearID == 1971))

tidy(model)

The estimate for the effect of bb on runs can be found in the 'Estimate' column for the variable 'bb', and the estimate for the effect of hr on runs can be found in the 'Estimate' column for the variable 'hr'.

2) To determine the effect of year on the impact of bb, a linear model can be fit on the results from the previous question. The following code can be used:

model2 <- lm(bb ~ year, data = tidy(model))

The coefficient for the variable 'year' in this model represents the change in the impact of bb on runs for each additional year.

3) The p-value for this effect can be found in the 'p.value' column of the output of the summary() function applied on the model2, which tests if the coefficient for the variable 'year' is significantly different from zero.

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Answer:

\((f - g)(x) = x^2 + 4x + 3\)

Step-by-step explanation:

\(f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)\)

\(= 2x^2 -5 -x^2 +4x+8\)           ----------> distribute

\(= x^2 +4x +3\)  ------------> combine like terms

Therefore, Option B is the correct answer.

Answer:

22.44 cm^2

Step-by-step explanation:

There's four triangles and one square so lets start with the triangles.

2.24×3÷2=3.36

That's the area of one triangle, there's four so:

3.36×4=13.44

Then the square!

3×3=9

13.44+9=22.44 cm^2

I'm not sure if this is the standard way since I didn't learn about pyramids so I used the area stuff, so sorry if its not correct.

Have a nice day!