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Answer:

2,500 different sets

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Let 4-digit PIN code be WXYZ

As first digit is a prime number

So, W = 1, 2, 3, 5, 7

n(W) = 5

X and Y are number from 0 - 9

So, n(X) = 10 & n(Y) = 10

Z makes the whole number divisible by 2.

So, Z must even number

So, Z = 0,2,4,6,8 or n(Z) = 5

We can calculate the number of different sets by using following formula,

n(W) × n(X) × n(Y) × n(Z)

By putting the value, we get

5 × 10 × 10 × 5 = 2,500

Answer: x - 2.60(2) + x + x - 2.60

Step-by-step explanation:

Aleekah’s amount is x, as identified by the problem. If Barika earn less than 2.60 than Aleekah, then you would take away 2.60 from x, thus x - 2.60. If (x - 2.60) is how much Barika earned and James earn twice that amount, then he would have ((x - 2.60)*2)

Answer:

24x^7 = 24x^7

Step-by-step explanation:

Left side of equation: 3 times 8 times X = 24x

Then you raise it to the 7th power

Right side of the equation: 6 times 4 times X = 24x

Since the exponent is the same, you keep it as the 7th power

The distribution will be right-skewed because the distribution has an upper limit that most of the values will be clustered near, and a long left tail. The correct answer is B.

In the given scenario, we can anticipate that the distribution of hours of homework completed by the students will be right-skewed.

Right-skewness occurs when the tail of the distribution extends towards the right, indicating that there are relatively few extreme values on the right side of the distribution.

Considering that the question asks about the number of hours of homework completed, it is reasonable to assume that there might be an upper limit to the number of hours students can allocate for homework, such as limited time available or other commitments.

As a result, most students would likely complete their homework within a certain range, causing the distribution to be clustered near the upper limit.

Additionally, the presence of a long left tail indicates that there will be a few students who have completed a significantly larger number of hours of homework compared to the majority. These extreme values will stretch the distribution towards the left.

It is important to note that the shape of the distribution is influenced by the nature of the variable being measured and the context of the data.

In this case, the presence of an upper limit on the number of hours of homework and the likelihood of some students completing more homework than others contribute to the expected right-skewed distribution.

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The volume of the new box is 30 units^3.

We can infer the roots are rational integers from the response options, thus this polynomial ought to be simple to factor. The coefficients of x must multiply by 10, hence they must be in some sequence of 5,2,1 or 10,1. Since we can try each one separately, we can express the factored form as follows:

                                       (5x-p)(2x-q)(x-r)

Due to the fact that p, q, and r must multiply to 6, they must be either 3,2,1 or 6,1,1 in some sequence. Once more, we may test each one in a different place to determine if they multiply properly.

When we multiply the x-terms and attempt (5x-2)(2x-1)(x-3), the answer is 29. Try adding the x^2 terms together; they equal -39. Consequently, the roots are \(\frac{2}{5} , \frac{1}{2} and 3.\) Now if you add 2 to each root, you get the volume is

=> \(\frac{12}{5} X \frac{5}{2} X 5 =30\)

Therefore, The volume of the new box is 30 units^3.

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Answer:

12:8

Step-by-step explanation:

Bill receives £12, and Sue receives £8.

In order to divide £20 between Bill and Sue in the ratio 3:2, we first need to find the total number of parts in the ratio. The sum of the parts in a 3:2 ratio is 3 + 2 = 5.

Next, we determine the value of one part by dividing the total amount (£20) by the total number of parts (5): £20 ÷ 5 = £4.

Now, we can allocate the money to Bill and Sue according to their shares in the ratio. For Bill, who gets 3 parts, we multiply his share of one part (£4) by 3: £4 × 3 = £12. For Sue, who gets 2 parts, we multiply her share of one part (£4) by 2: £4 × 2 = £8.

Thus, Bill receives £12, and Sue receives £8.

In mathematical terms, we can represent the division of £20 between Bill (B) and Sue (S) as follows:

Let the ratio be represented as B:S = 3:2.

Total parts in the ratio = 3 + 2 = 5.

Value of one part (Vp) = Total amount / Total parts = £20 ÷ 5 = £4.

Amount received by Bill (Ab) = 3 parts × Vp = 3 × £4 = £12.

Amount received by Sue (As) = 2 parts × Vp = 2 × £4 = £8.

Thus, Bill receives £12, and Sue receives £8.

In summary, when dividing £20 between Bill and Sue in the ratio 3:2, we follow the steps of finding the total parts in the ratio, calculating the value of one part, and then distributing the amount based on each individual's share in the ratio.

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(33.85307637623) = 33.9m

the answer is option d

Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.

With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.

As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:

z = (1.5 - 1) / 0.2 = 2.5

We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.

Therefore, the correct answer is option d. Yes. Clear my choice.

The complete question is;

American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:

a. No, because the population distribution is skewed.

b. No, because the sample size is less than 30.

c. No, because the empirical rule is violated.

d. Yes. Clear my choice

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Answer:

9/10

Step-by-step explanation:

if he has 10 and eats 9 you divide 9 by 10

= 9/10

Arnold eats 9 / 10 fractions of the sweets.

Given that,

Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets he eat is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Arnold has a bag of 10 sweets
Total sweets = 10
Total sweets that were eaten by Arnold = 9
So,
Fraction = sweets eat / total sweet
Fraction = 9 / 10

Thus, Arnold eats 9 / 10 fractions of the sweets.


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Answer:

-.2

Step-by-step explanation:

3.1-5.3-4+6

3.1-5.3= -2.2

-2.2-4= -6.2

6.2+6= -.2

answer

-0.3

Step-by-step explanation:

yan na po yung sana tama at sana makatulong

Answer:

96730322328

Step-by-step explanation:

I hope this helps

The computed t-value of -1.708 for a two-tailed hypothesis test of the difference of two means with sample size of 26 would yield a p-value of 0.10.

This statement is a false statement.

To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample. First, a hazy assumption about the parameter or distribution is made.

The null hypothesis is that 50% is true, while the alternative hypothesis is that 50% is not accurate, for instance, if someone wants to test whether a penny has an exact 50% chance of landing on heads.

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Here we have a program written in C++ language. Each // symbol is a relative comment explaining the reason for each command line (and is not included during the program execution).

The Program:

#include <iostream>

//c++ build in library

using namespace std;

//main code body starts here

int main()

{

 //declare variable to store phone numbers,its area code, prefix and line    number.

long pnumber;   //declare long variable

int ac, prefix, lnumber;

 //declare integer variables, where ac: Area Code and lnumber is the Line Number

cout<<"Enter a 10-digit Phone Number: "<<endl;

 //cout command prints on screen the desired message

 cin>>pnumber;

 //cin command enables the user to interact with the programm and enter information manually

//main body to obtain the desired output starts below

 //each 'division' is used to allocate the correct value at the correct

 //since prefix is used to get the desired output of ( )    -

 ac = pnumber/10000000;

 prefix = (pnumber/10000)%1000;

 lnumber = pnumber%10000;

 //main body ends here

 cout<<"Based on your 10-digit number"<<endl;

 cout<<"below you have (AreaCode), Prefix, and - line number "<<endl;

 cout<<"("<<ac<<")"<<""<<prefix<<"-"<<lnumber<<endl;

 //Prints on screen the desired output of the long 10 digit Number

 return 0; //ends program

}

-------------------------------------------------------------------------------------------------------

The Output Sample:

Enter a 10-digit Phone Number:

8019004673

Based on your 10-digit number

below you have (Area Code), Prefix, and - line number

(801) 900-4673

....Programm finished with exit code 0

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If drama club's fundraiser earns them $60 per month. This amount will decrease at a rate of 3. 5% each month, then the function that describes the situation is f(x) = 60×(0.965)^x

Let's assume that the initial amount earned by the drama club is $60 per month, and the amount decreases by 3.5% every month

After one month, the amount earned will be 60 - (3.5/100)×60 = 57.9 dollars.

After two months, the amount earned will be 57.9 - (3.5/100)×57.9 = 55.86 dollars.

We can see that the amount earned decreases exponentially each month.

Therefore, the function that describes this situation is an exponential function of the form

f(x) = 60×(0.965)^x

Where x is the number of months and f(x) is the amount earned by the drama club in the xth month.

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Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

Answer:

It can go 250 m deep

Step-by-step explanation:

Answer:  (x+3)^2+(y+10)^2=4

Step-by-step explanation:

The standard form of the equation of a circle is:

(x−x1)2+(y−y1)2=r2

In order to place the center of the circle at point (3, 10), simply replace x1 with 3 and y1 with 10

(x+3)^2+(y+10)^2=r2

Finally, replace r with the radius of the circle.

The final equation is:

(x+3)^2+(y+10)^2=4

Answer:

In standard form: x - 2y = -10

In slope intercept form: y = (1/2)x + 5

Step-by-step explanation:

y = total cost

y = flat cost + mileage cost

The flat cost is $5, so you get

y = 5 + mileage cost

The mileage cost depends on the number of miles, x.

1 mile costs $0.50

2 miles cost $0.50 * 2

3 miles cost $0.50 * 3

x miles cost $0.50 * x, or simply 0.5x

Now we add the mileage cost to our expression.

y = 5 + 0.5x

y = 0.5x + 5

In standard form:

0.5x - y = -5

x - 2y = -10

In slope intercept form:

y = (1/2)x + 5

Answer:

the answer is 2342

Step-by-step explanation:

because 7x add 2y = 2342

Check the picture below.

The correct option, for the sum of the series is

d. its sum is 1/10

To find the sum of the series Σ 1 / (n+9)(n+10), we can rewrite it as follows:

Σ 1 / (n+9)(n+10) * 1(n + 9) = Σ (1 / (n+9)) - (1 / (n+10))  * 1(n + 9)

Now, let's evaluate the terms of the series:

When n = 0:

Term 1: 1 / (0+9) = 1/9

Term 2: 1 / (0+10) = 1/10

Term 3:  1(0 + 9) = 9

Therefore, the sum of the series when n = 0 is:

(1/9 - 1/10) * 9 = 1/90 * 9

So, the sum of the series when n = 0 is 1/10.

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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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Given the provided information, if a woman over 35 tests positive for ovarian cancer, the probability that she actually has cancer is approximately 1.96%.

To determine the probability that a woman over 35 actually has ovarian cancer given a positive test result, we can create a contingency table and use conditional probability. Let's consider a hypothetical sample of 100,000 women:

Out of 100,000 women, 1 in every 2,500 (or 40 out of 100,000) actually has ovarian cancer. Since the test has a 0% rate of false negatives, all the women with ovarian cancer will test positive.

The test also has a 5% rate of false positives. This means that out of the remaining 99,960 women who do not have ovarian cancer, approximately 5% (or 4,998) will test positive incorrectly.

Therefore, out of a total of 5,038 positive test results (40 true positives + 4,998 false positives), only 40 are true positives for ovarian cancer. The probability that a woman who tests positive actually has ovarian cancer can be calculated as the ratio of true positives to the total positive tests:

Probability = (True Positives) / (Total Positive Tests) = 40 / 5,038 ≈ 0.00795 ≈ 0.795%

Thus, the probability that a woman over 35 actually has ovarian cancer given a positive test result is approximately 1.96%. This calculation highlights the importance of considering both the prevalence of the disease and the accuracy of the test in interpreting the results correctly.

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Answer:

Step-by-step explanation:

Friend runs 32/2=16 miles per week

You run 24/3=12 miles per week

Your friend runs (16-12)=4 more miles than you each week.

Answer:

o

Step-by-step explanation:

According to the problem,The area of a triangle is equal to 1/2 the length of the base times the height.

A triangle is a polygon with three sides and three angles. It is one of the most basic shapes in geometry, and is often used in mathematics, engineering, and other fields. A triangle has three vertices, each of which connects two sides. The sum of the three angles in a triangle is always equal to 180 degrees. Triangles come in many different forms, such as scalene, isosceles, and equilateral. Scalene triangles have sides of different lengths, and all three angles are also different.

The area of a triangle is equal to 1/2 the length of the base times the height. Since the base of triangle A and triangle B are the same and the height of triangle B is twice the height of triangle A, the area of triangle B will be twice the area of triangle A. Therefore, the area of triangle B is 2 times greater than the area of triangle A.

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Answer:

it is H

Step-by-step explanation:

4-3 is 1 and there is 12 total objects so it is 1/12

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation: