is it < > or = help me please ​

Answer:

1st one is 0.021

2nd one is 0.009

the last question is 0.015 tho

Answer:

for the first one it will be 0.021

the second one it's 0.009

and for the third one it will be 0.015

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

\(P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\\)

A. P(x=6)

\(P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\\)

B. P(x≥10)

\(P(x\geq10)=1-P(x<10)=1-\sum_{i=0}^9P(x=i)\\\\\\\)

\(P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\\)

\(P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\\)

\(P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713\)

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

\(E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17\)

Considering the definition of an equation and the way to solve it, the girls will both pay the same if they buy six pairs of pants and one sweater.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

Being "x" the number of pairs of pants, you know that:

The equation in this case is:

17.95x + 24 = 18.95x + 18

Solving:

24 -18= 18.95x - 17-95x

6= x

Finally, this means that Kelsey and Jeana pay the same if they buy six pairs of pants and one sweater.

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The number of potential passwords that can be created in this scenario is; C: 140400

There are 26 alphabets in english. Now, if there are no repetitions, then;

Number of ways of selecting first letter = 26

Number of ways of selecting second letter = 25

Number of ways of selecting third letter = 24

Thus;

Number of ways of selecting three letters from the alphabet if there is no repetition is; P(3 letters) = 26 * 25 * 24 = 15600

Number of ways of selecting 1 out of the 9 numbers is = 9

Thus;

Potential passwords that can be created = 15600 * 9 = 140400

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Answer:

It's asking what 3^k+2 is in terms of m. That is where the 2 comes from.

Please let me know if this helped <3

Using the combination formula, it is found that 84 different groups of 6 people are possible from the 9 remaining friends.

The order in which the friends are chosen is not important, hence the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, 6 friends are chosen from a set of 9, hence:

\(C_{9,6} = \frac{9!}{6!3!} = 84\)

84 different groups of 6 people are possible from the 9 remaining friends.

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Answer:

this wrong

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  \(P( 1.39 < z < 1.53 ) = 0.0193\)

Step-by-step explanation:

From the question we are told to obtain the area to the of the z-score 1.39 and to the left of the z-score 1.53, this is mathematically represented as

        \(P( 1.39 < z < 1.53 ) = P( z < 1.53 ) - P( z < 1.39 )\)

From the z table on the question the area under the normal curve to the left corresponding to 1.53 and  1.39  is

       \(P( z < 1.53 ) = 0.9370\)

and

      \(P( z < 1.39 ) = 0.9177\)

So

     \(P( 1.39 < z < 1.53 ) = 0.9370 - 0.9177\)

=>  \(P( 1.39 < z < 1.53 ) = 0.0193\)

B is true, so we can conclude ~~A by disjunctive syllogism.

This proof is based on the inference rules you provided.

D Proof: Premises:

C ---> (~D ---> ~X)

The Modus Ponens Rule was used.

Finally, X /D

Explanation: Using Modus Ponens, we can conclude that D ---> X from premises 1 and 2.

Because premise 2 is true, we can conclude X via modus tollens.

We can conclude that D must be false because X is true.

Evidence for C:

Conditions: A ---> B B

Modus Tollens is the rule that was used.

Finally, C / A

Explanation: Using Modus Tollens, we can conclude from premises 1 and 2 that A.

Because A is false in premise 1, we can conclude that B is true.

Because premise 2 is true, we can conclude C using disjunctive syllogism.

Proof for ~~A:

Premises:

A ---> ~D

~D ---> (~B v ~~A)

A

B

Rule used: Modus Ponens

Conclusion:

~~A /B

Explanation:

From premise 1 and 3, using Modus Ponens, we can conclude that ~D.

From premise 2 and ~D, using Modus Ponens, we can conclude that ~B v ~~A.

From premise 4, B is true, so we can conclude ~~A by disjunctive syllogism.

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Answer:

D. 5 1/8

Step-by-step explanation:

First, convert the mixed number into an improper fraction

8-2 7/8 = 8- 23/8

Calculate the difference

8-23/8 = 41/8

Simplify the fraction

41/8 = 5 1/8

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

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Answer:

A) b= 8 students

B)  1) 19/55   2) 28/55

Step-by-step explanation:

I'm sorry if I'm getting this whole concept wrong cause it felt way too easy to be right so I'm sorry if you get it wrong.

The reason the first question is 8 is because of the fact that you first have to add the students charted on the Venn-diagram and subtract that from 55, getting you to 8 students.

For the second one, the first part would be 19/55 becuase in the Venn-diagram it is shown that only 19 people passed both and so that be the numerator and the denominator would be the total of students, so it would be 55.

Same thing for part two except the fact that you have to add the students who only passed one subject, so combine 17 and 11, getting you to 28, thus getting the answer 28/55.  

Answer:

3

Step-by-step explanation:

We know that the sum of the angles of a triangle is 180

Assume that the angles are equal

x+x+x = 180

3x= 180

x = 180/3 =60

All three angles are less than 90 which makes them acute so we know that we can have 3 acute angles

Answer:

\(\huge\boxed{\sf x = 4}\)

Step-by-step explanation:

Given that:

\(y \propto x\)

Converting proportionality into equality

\(y = kx\) ----------------(1)

y = 18 when x = 2

Put it in Eq. (1)

\(\displaystyle 18 = k(2)\\\\Divide \ both \ sides \ by\ 2\\\\\frac{18}{2} = k\\\\9 = k\\\\ \boxed{k = 9}\)

Now,

x = ? when y = 36

Put it in Eq. (1)

\(36 = (9) x\\\\Divide \ both \ sides \ by \ 9\\\\36 / 9 = x\\\\4 =x \\\\\boxed{x = 4}\\\\\rule[225]{225}{2}\)

Answer:

its B

Step-by-step explanation:

Answer:

2.5 inches

Step-by-step explanation:

Given

Shelf Width = 3ft 9in

Copies = 18

Required

Determine the width of each book

This is calculated by dividing the shelf width by the number of copies.

Width = Shelf Width ÷ Copies

Width = (3 ft 9in) ÷ (18)

[Convert with to inches]

Width = (3 * 12 + 9) ÷ (18)

Width = (36 + 9) ÷ (18)

Width = 45 ÷ 18

Width = 2.5 inches

Hence, the width of each book is 2.5inches

Mia's total profit for the month is given as follows:

$200.

The profit function is obtained as the subtraction of the revenue function by the cost function, as follows:

P(x) = R(x) - C(x).

From the table given in this problem, the revenue and the costs are given as follows:

Hence the profit is given as follows:

9500 - 9300 = $200.

As the profit is positive, it is in fact a profit(gain) and not a loss.

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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the probability is 7/15

Step-by-step explanation:

because there are 7 girls and 8 boys

x=-2

y=-1

(-2,-1)

Explanation

Step 1

Let

Step 2

substitute the value of y , form equation (1) in equation(2)

Step 3

apply the distributive property to eliminate the parenthesis

Step 4

add 60 in both sides

Step 5

finally, divide each side by -23

Step 6

Finally, replace the value of x=-2 in equation (2) to find y

so, the answer is (-2,-1)

Answer:

x = -11

Step-by-step explanation:

7 - x = 18

+ x on both sides to cancel the negative one

7 = 18 + x

- 18 on both sides to get rid of the 18

solve:

7 - 18 = x

-11 = x

Answer:

collecting like terms

Step-by-step explanation:

step 1. Shift 7 to the right side

-x = 18 - 7

-x = 11

step 2. divide by -1 both sides

-x/-1 = 11/-1

x = -11

Answer:

"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.

So if he's got 10 quarts, that means 2 and a half gallons.

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

porque yolo

+}dthjdhdfdfhhfd

Answer:

whichever ones that the measurements are the same that is the answer. in this case 34

Step-by-step explanation:

so the side length might be different but what about the angles. that is something to think about.

hope this helps

if i get it right plz mark as brainliest.

Answer:

=$21075

Step-by-step explanation:

Given data

Earnings =$415 per hour

Commission =5%

Sales =$89500

Time =40 hours

Let us find the commission

5/100*89500

0.05*89500

=4475

Let us find the amount earned in 40 hours

40*415

=16600

Total

=16600+4475

=21075

Answer:

2( 100%) +75%

Step-by-step explanation:

a full box will literally be 100%, so two full boxes will be 2 × a full ie 100%, 'and' a box ie 75% full is addition '+'

5 years longer then Bill, 2x5=10.

10+2=12.

12-5=7

Hoang has be there for 12 years. Bill has for 7 years.

Answer:

\( \frac{4}{3} \pi {r}^{3} = 1332\)

\(r = \sqrt[3]{ \frac{1332}{ \frac{4}{3}\pi } } = 6.8\)

The radius of this sphere is about 6.8 feet

Answer: y = 5x-2

Step-by-step explanation:

a) The percentage of buyers that paid between $18,000 and $26,000 is; 95%

b) The middle 99.7% of car costs are between $16000 and $28000

c) The probability a car will cost less than $24,000 is; 68%

d) The probability a car will cost more than $26,000 is; 2.5%

The empirical rule of statistics states that 68% of data will be ± 1 standard deviations from the mean, 95% of data will be ± 2 standard deviations of the mean, and 99.7% of data will be ± 3 standard deviations from the mean.

a) We are given;

Mean; μ = $22000

Standard deviation; σ = $2000

$18,000 and $26,000 are both 2 standard deviations from the mean and so, the percentage of buyers is 95%.

b) Since the middle 99.7% of car costs, this is simply 3 standard deviations from the mean and as such it is between the values;

22000 - 3(2000) = $16000 and 22000 + 3(2000) = $28000

c) $24,000 is 1 standard deviation away from the mean and as such the probability will be 68% from empirical rule.

d) $26000 is 2 standard deviations from the mean and as such probability that a car will cost more than that is;

(100% - 95%)/2 = 5%/2 = 2.5%

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.