A dozen gulab jamuns cost 3.49 how much will 5 dozen cost

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

for such more question on range

https://brainly.com/question/16444481

#SPJ8

Answer:

3.4567 is a rational number

Step-by-step explanation:

An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.

For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational

Option A is correct. The value of function (f/g)(x) is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3.

In mathematics, function composition is an operation in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

The new function obtained by performing f first and then g is the combination of two functions g and f.

Given:

f(x) = \(\sqrt[3]{3x}\)

g(x) = 3x + 2

(f/g)(x) =  \(\sqrt[3]{3x}\)/(3x+2)

Also, the denominator should not be equal to 0.

So, 3x + 2 ≠ 0

     x ≠  -2/3

Therefore, the value of function  is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3. So, Option A is correct

Learn more about function composition here:

https://brainly.com/question/17673639

#SPJ13

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"v" varies directly with "x"}}{v = k(x)}\hspace{5em}\textit{we also know that} \begin{cases} x=32\\ v=20 \end{cases} \\\\\\ 20=k(32)\implies \cfrac{20}{32}=k\implies \cfrac{5}{8}=k\hspace{8em}\boxed{v=\cfrac{5}{8}x} \\\\\\ \textit{when x = 24, what's v?}\qquad v=\cfrac{5}{8}(24)\implies v=15\)

That is one of the hardest equations in the world, please don't post questions that are impossible to answer or that will be considered spam.

Answer:

- 5, 3 and 10

Step-by-step explanation:

(a)

substitute x = 2 into f(x)

f(2) = 2² - 2(2) - 5 = 4 - 4 - 5 = 0 - 5 = - 5

(b)

substitute x = 4 into f(x)

f(4) = 4² - 2(4) - 5 = 16 - 8 - 5 = 8 - 5 = 3

(c)

substitute x = - 3 into f(x)

f(- 3) = (- 3)² - 2(- 3) - 5 = 9 + 6 - 5 = 15 - 5 = 10

Answer:

a -5

b) 3

c) 10

Step-by-step explanation:

\(f(x) = x^2 - 2x - 5\\\\a) \;f(2) = (-2)^2-2(2) -5\\= 4 - 4 - 5 = -5\\\\\)

\(b) f(4) = 4^2 - 2(4) - 5 = 16 - 8 - 5 = 16 -13 =3\)

\(c) f(-3) = (-3)^2 - 2(-3) - 5 = 9 + 6 - 5 = 15-5 = 10 \\\mathrm {because\; (-2(-3) \;becomes\; +6}\)

The value of the expression 8 × 1 plus 5 × 1/1000 plus 9 × 1/1000 is 8.014.

Consider the expression,

8 × 1 plus 5 × 1/1000 plus 9 × 1/1000

Now,

8 × 1 = 8 and;

5 × 1/1000 = 5/1000

and;

9 × 1/1000 = 9/1000

Now,

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + 5/1000 + 9/1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + [ ( 9 + 5 ) / 1000 ]

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + 14 / 1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = ( 8 / 1 ) + ( 14 / 1000 )

Now, LCM of 1 and 1000 is 1000.

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 × ( 1000/1000) + 14/1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8000/1000 + 14/1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = ( 8000 + 14 ) / 1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8014/1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8.014

Learn more about expression here:

https://brainly.com/question/4344214

#SPJ9

Answer:

Step-by-step explanation:

two integers mean numbers that do not have decimals. Whole numbers

to figure out between what two integers get a calculator

which is 4.123 (to three decimal places)

thus it falls between 4 and 5. since it is above 4 and below 5 and there are no integers in between possible.

- brainly user

Answer:

3/10,1/2,4/5

this is because

if you make them all have common denominators they are:

8/10, 3/10, and 5/10

and you put them in order based on their numerators

Answer:

46 Teas and 29 Coffees

Step-by-step explanation:

46×3= 138

29×6= 174

174+138=312

Answer:

-1/3

Step-by-step explanation:

it goes up by one so -1 then to the right 3 so 3 that means the slope is -1/3

K represent the page of the book that Kayla is on at the end of t days

E represent the page of the book that Evelyn is on at the end of t days

so,

At the beginning of the month:

Kayla was on page 19 and Evelyn was on page 49

During the month :

Kayla will read 15 pages per day and

Evelyn will read 9 pages per day

so,

K = 19 + 15 t

E = 49 + 9 t

So, after 2 days: t = 2

K = 19 + 15 * 2 = 19 + 30 = 49

E = 49 + 9 * 2 = 49 + 18 = 67

So, the difference between them = 67 - 49 = 18 pages

So,

Evelyn will be 18 pages farther along in the book than Kayla after 2 days

The required three angles of the triangle are 15 degrees, 75 degrees, and 90 degrees.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here

Let's denote the measure of the smallest angle as x.

According to the problem, one of the angles is five times as large as x and the other angle is six times as large as x.

So, the measures of the three angles can be written as: x, 5x, and 6x.
We know that the sum of the angles of a triangle is 180 degrees. Therefore, we can write:

x + 5x + 6x = 180

12x = 180

x = 15

Substituting x = 15 in the expressions for the angles, we get:

Smallest angle = x = 15 degrees

Second angle = 5x = 75 degrees

Third angle = 6x = 90 degrees

Therefore, the three angles of the triangle are 15 degrees, 75 degrees, and 90 degrees.

Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ1

Answer: Banana has the lowest value, and habanero has the greatest value

Step-by-step explanation:

there. :)

after i put the answer first but its fine it is JUST a app

:|

Answer:

D is the least common denominator

\\(\angle B +\angle C + x = 180^{\circ}\\\\\implies x = 180^{\circ} -\angle B -\angle C\\\\\implies x = 180^{\circ} - 75^{\circ} - 50^{\circ}\\\\\implies x = 55^{\circ}\)

Answer:

Perimeter = 14\(\sqrt{2}\)

Area = \(\sqrt{42}\)

Step-by-step explanation:

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

Learn more about angles in triangles here: https://brainly.com/question/22262639

#SPJ1

Answer:

  2.5%

Step-by-step explanation:

You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.

The z-score of 335 is ...

  Z = (X -µ)/σ

  Z = (335 -555)/110 = -220/110 = -2

The empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.

  P(X < 335) = 5%/2 = 2.5%

The percentage of people taking the test who score below 335 is 2.5%.

<95141404393>

Answer:

12

Step-by-step explanation:

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

For similar question on surveyed.

https://brainly.com/question/14610641  

#SPJ8

Answer:

Area = 324ft²

Perimeter = 72ft

Step-by-step explanation:

Area of a square = length²

Area of a square = (18ft)² = 324ft²

Perimeter of a square = 4*length

Perimeter of a square = 4ft*18 = 72ft

Answer:

Step-by-step explanation:

it is B

Answer:

I believe the Answer is B

I'm really sorry if this is wrong.

Step-by-step explanation:

I tried my best :)

The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3

A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.

The specified scale factor from triangle S to triangle M = 3/2

3/2 = 1.5

Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S

Let L represent the length of a side of triangle S, we get;

The length of the corresponding side on triangle M = 1.5 × L

The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;

Scale factor, SF, from M to S  = Length of a side on triangle S ÷ Length of the corresponding side on triangle

Therefore;

\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)

1.5 = 3/2, therefore;

\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)

Therefore, the scale factor from M to S is 2/3

Learn more about scale factor of a dilation here:

https://brainly.com/question/13005407

#SPJ1

Answer:

1) 1381

2) 650

3) 720

4) 12371

5) 3922

6) 4010

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  − 1381  and  0  is  1381 .

| 1381 |  → 1381

The absolute value is the distance between a number and zero. The distance between  -650 and  0  is 650 .

| 1-651 | → | -650 | → 650

The absolute value is the distance between a number and zero. The distance between  -720 and  0  is 720 .

| 1-721  | → | -720 | → 720

The absolute value is the distance between a number and zero. The distance between -12371 and  0  is 12371 .

| -12371 | → 12371

The absolute value is the distance between a number and zero. The distance between -3922  and  0  is 3922  .

|-1-3921 | → | -3922 | → 3922

The absolute value is the distance between a number and zero. The distance between -4010   and  0  is 4010   .

| 1-4011 | → | -4010 | 4010