A man earns Rs.9600 and he saves Rs.2400 in a month.What percentage does he spends?
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Complete question :

The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 43 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

Answer:

0.61053

0.66314

0.26647

Step-by-step explanation:

Given that :

Mean (m) = 41.4 inches

Standard deviation (s) = 5.7 inches

a) What percentage of years will have an annual rainfall of less than 43 inches?

P(x < 43)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (43 - 41.4) / 5.7 = 0.2807017

p(Z < 0.2807) = 0.61053 ( Z probability calculator)

b) What percentage of years will have an annual rainfall of more than 39 inches? c)

P(x > 39)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (39 - 41.4) / 5.7 = −0.421052

p(Z > −0.421052) = 0.66314 ( Z probability calculator)

What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

P(x < 38)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (38 - 41.4) / 5.7 = −0.596491

p(Z < −0.596491) = 0.27545 ( Z probability calculator)

P(x < 42)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (42 - 41.4) / 5.7 = 0.1052631

p(Z < 0.1052631) = 0.54192 ( Z probability calculator)

0.54192 - 0.27545 = 0.26647

Answer:

a) We expect to have 135 people to have had chickenpox in their childhood.

b) No, I would not be surprised, as the probability is not low.

z = -0.6812

c) P(X≤132)=0.248

Step-by-step explanation:

a) This is a binomial random variable, with n=150 and p=0.9, so we can calculate the expected value as:

\(E(X)=np=150\cdot 0.9=135\)

b) To answer this we can calculate the probability that 132 people or fewer have had chickenpox in their childhood.

This binomial random variable can be approximated by a normal distribution, with the following parameters:

\(\mu=np=150\cdot 0.9=135\\\\\sigma=\sqrt{np(1-p)}=\sqrt{150\cdot 0.9\cdot 0.1}=\sqrt{13.5}=3.67\)

To calculate the probability that 132 people or fewer have had chickenpox in their childhood we compute the z-score for X=132.5 (as we apply the continuity factor) and calculate the probability using the standard normal distribution:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{132.5-135}{3.67}=\dfrac{-2.5}{3.67}=-0.6812\\\\\\P(X<132.5)=P(z<-0.6812)=0.248\)

Answer:

we conclude that:

\(\frac{6}{6^{\frac{1}{4}}}=6^{\frac{3}{4}}\)

Step-by-step explanation:

Given

The expression is

To determine

Simplify the expression

Simplifying the expression

\(\frac{6}{6^{\frac{1}{4}}}\)

Apply the exponent rule:   \(\frac{x^a}{x^b}=x^{a-b}\)

\(\frac{6}{6^{\frac{1}{4}}}=6^{1-\frac{1}{4}}\)

Subtract the numbers:   \(1-\frac{1}{4}=\frac{3}{4}\)

     \(=6^{\frac{3}{4}}\)

Therefore, we conclude that:

\(\frac{6}{6^{\frac{1}{4}}}=6^{\frac{3}{4}}\)

The value of 57.17 as a mixed number is - 57 17/100.

A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.

A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.

In this case, -57.17 will be:

= -57 + (17/100)

= -57 17/100.

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Answer: 16. C  17. A  18. A  

19  You got this! There is only one answer with the correct radius squared!

Step-by-step explanation:

For the coordinates of the center, flip the signs in the parentheses.

For the "=output": in the equation, square the given radius.

Center: (-14.4) the signs in (x + 14)²+(y - 4)² are the opposites.

Radius given: 2  Square it to get the =4

The false statement from the stem-and-leaf plot is given as follows:

b. The data for Paul’s group has two modes.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The mode of a data-set is the data-set that appears the most times in a data-set.

Hence, for Paul's group, the mode is given as follows:

44.

As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.

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Answer:

Variable y represent the rent of Pamela

Step-by-step explanation:

Given

Pamela pays tuition every semester and rent every month, and she uses cash daily for food.

lets understand what constitute semester ,  month and day in a year.

A semester consist of 6 months.

As a year has 12 months , a year will have 2 semester.

If one pays  x for one semester then in a year one has to pay 2x .

As a year has two semester

Similarly

A year has 12 months .

If one pays  y for one month then in a year one has to pay 12y .

As a A year has 12 months .

A year has 365 days

If one pays  z for each month then in a year one has to pay 365z .

As a A year has 365 days.

__________________________________________

Based on above discussion , we can now safely assume that the we have to look at the coefficient of  expression 2x+12y+365z to find the which variable represent which type of bill.

As we have to find variable for rent and rent is paid monthly.

so for a year total bill will have 12 months and hence going by expression variable y represent the rent of Pamela.

They will earn If they work every week If the year is $22100.

We have given that,

you currently make 425

We have to determine what is the gross they will earn If they work a week If the year.

We know that

A worker currently makes $425 per week

1year=52 weeks

So by proportion find the amount that the worker will earn in one year

\(\frac{425}{x}\times \frac{\$}{weeks}\)

\(=\frac{x}{52}\times \frac{\$}{weeks}\)

\(x=52\times 425\)

x=22,100

Therefore, The answer is $22100.

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Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

The equation in the graph is the one in option B, the proportional equation is:

y = (3/4)*x

A general proportional relation is written as:

y = k*x

Where k is the constant of proportionality.

On the graph we can see that the line passes through the point (4, 3), we can replace these values in the general equation to get:

3 = k*4

Now we can solve this for k:

3/4 = k

Then the proportional equation is:

y = (3/4)*x

So the correct option is B.

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Answer:

Step-by-step explanation:

89

Answer:

25 + 9^3

Step-by-step explanation:

Answer:

I solved it and my answer is 29

Answer:

the regression line

Step-by-step explanation:

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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Answer:

Step-by-step explanation:

Answer:

i think the answer is 4

hope this help?

The value of -3√5 as the opposite of the square root is -75.

What in mathematics is a square root?

The factor we can multiply by itself to obtain a given number is the number's square root.

               Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

2

Step-by-step explanation:

Answer:

Firstly practice in paper it's graphics line is either concidents, parallel or intersecting..Prefer class ten NCERT BOOKS

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

pyramid:

b = 5in

h = 10in

Step 02:

total surface area pyramid:

SA = 2hb + b²

SA = 2( 10in * 5in) + (5in)²

SA = 100in² + 25in²

SA = 125in²

The answer is:

SA = 125in²

Answer:

Ashley

Step-by-step explanation:

Lets understand the conditions.

Carlos < Ashley  < Brianna

David < Carlos

Clearly, this tells us that David < Carlos < Ashley < Brianna, meaning the order is

David, Carlos, Ashley, Brianna

Since Ashley was interviewed third, she is the first year student

Cheers

Answer:

5x + 6y = 20_____(1)

8x - 6y = -46_____(2)

Solving simultaneously:

Eqn(1) + Eqn(2)

5x + 8x + 6y + (-6y) = 20 + (-46)

13x = -26

x = -2

substituting this into Eqn (1):

5(-2) + 6y = 20

-10 + 6y = 20

6y = 30

y = 5

hence:

x = -2,y = 5.

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

\(24\)

Step-by-step explanation:

\( \frac{4(7 - 13)}{3 + ( - 4)} \times \frac{2 - (6 - 2)}{1} = \frac{28 - 52}{3 - 4} = \frac{ - 24}{ - 1} = 24\)

Hope this helps ;) ❤❤❤

Answer:

24 (Can I have a brainlist, please?)

Step-by-step explanation:

4(7-13)/3 + (-4)2-(6-2)

First we solve the problems in the paraenthesis:

4(7-13)/3 + (-4)2-(6-2)

4(-6)/3 + -4 × 2 -(4)

Now we multiply the ones that are needed to be multiplied:

4(-6)/3 + -4 × 2 -(4)

-24/3 + -8 -(4)

-24/3 + 32

Now we divide:

-24/3 + 32

-8 + 32

And finally we solve the last:

-8 + 32

= 24

Hope that helped!

a) There are 2400 animals on the farm.

b) The number of sheep on the farm is 700.

c) The percentage of rabbits in relation to the total number of animals is 37.5%.

d) The angle that represents the number of pigs is 75 degrees.

a) To determine the total number of animals on the farm, we add up the number of rabbits, sheep, cattle, and pigs:

Total number of animals = 900 (rabbits) + 700 (sheep) + 300 (cattle) + 500 (pigs) = 2400 animals.

b) The number of sheep on the farm is given as 700.

c) To calculate the percentage of rabbits in relation to the total number of animals, we divide the number of rabbits by the total number of animals and multiply by 100:

Percentage of rabbits = (900 / 2400) * 100 = 37.5%.

d) To calculate the angle that represents the number of pigs, we need to find the proportion of the total number of animals that pigs make up, and then convert it to an angle on the pie chart.

Proportion of pigs = 500 / 2400 = 0.2083.

To find the angle in degrees, we multiply the proportion by 360 degrees:

Angle representing pigs = 0.2083 * 360 = 75 degrees.

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Answer:

associative property

Step-by-step explanation:

grouping changes