If 60th and 90th percentiles are 650 and 850 then what is the 75th percentile normal distribution

The greatest number of four digits which is exactly divisible by 15, 24 and 36 is 9720 .

The concept that will be used in the question is Prime factorization.

We need to acknowledge the  greatest four digit number which is 9999 , then to get the  required number  we can follow these steps:

The Prime factorization of the numbers are:

15 = (3 * 5 )

24 = (2^3 * 3)

36 =( 2^2 * 3^2)

Then the LCM (15,24,36)= 2

2^3 * 3^2 * 5 = 360

Then  we can Divide 9999 by 360,  having the 279 as remainder.

Then (9999 - 279) = 9720

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Complete question:

Find the greatest number of four digits which is exactly divisible by 15, 24 and 36

Answer:

0.73

Step-by-step explanation:

Just think of percentages when switching to a decimal as like a ?/100 fraction per-say. Or a percent of 100. 0.73. (1 would be 100 in this case.)

Hope this helps and have a nice day!

Answer:

57

Step-by-step explanation:

this is the boybfiend

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:160 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

A)

B)

C)

Answer:

50 i think

Step-by-step explanation:

Answer:

-100

Step-by-step explanation:

-80=20+x

subtract 20 from both sides

-100=x

Answer:

$1.6

Step-by-step explanation:

Because if she donates $0.10 for every 0.25 miles and she bikes 4 miles you would have to be 1.6 because 0.25 x 16=4 so you multiply 16 x 0.10 and there is the answer.

Answer: the answer is 1.5 hope this helps you

Step-by-step explanation:

Answer:

36 blues

Step-by-step explanation:

Answer:

36 blue Candies

Step-by-step explanation:

Let

x ----> the number of blue Candies

y ----> the number of yellow Candies

we know that

The ratio of blue candied and yellow candies is 3:5

Step-by-step explanation:

The ratio of blue candied and yellow candies is 3:5

so

x = 3

y 5 -----> equation A

the bag contains 60 yellow Candies

so

y=60 ----> equation B

substitute equation B in equation A

r 3

60 5

solve for x

x=3 (60) = 36

5

The solution is Option B.

The percentage increment in the preference for  Enterprise Content Management is given by the equation A = 366 %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Let the percentage increment be represented as A

Now , the equation will be

The number of 41+ year olds having a preference for Enterprise Content Management = 3,215

The number of 18-25 year olds having a preference for Enterprise Content Management = 690

So , the difference in number of preference = 3,215 - 690

On simplifying the equation , we get

The difference in number of preference = 2,525

And , the percentage increase A = ( difference in number of preference / number of 18-25 year olds having a preference for Enterprise Content Management ) x 100

Substituting the values in the equation , we get

The percentage increase A = ( 2525/690 ) x 100

The percentage increase A = 3.659 x 100

The percentage increase A = 366 %

Therefore , the value of A is 366 %

Hence , the percentage increment is 366 %

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Answer:

5 ounces for $2.99 is 0.598 per ounce

15 ounces for $9.19 per 0.613

The 5 ounce bottle is a better deal

Step-by-step explanation:

Answer:

a.vertical translation

Answer: -2 degrees celcius

Step-by-step explanation:

Count back 7 from 5.

The answer is -2.

\( \large \bf \implies{ - 2 \degree C}\)

Step 1) : Based on the given conditions, formulate:

Step 2) : Calculate

The solution is x = 1 and y = -5

The system of equations are solved graphically and the value of x = 1 and the value of y = -5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of first line be = A

Let the equation of second line be = B

Now , the value of A is

y = 3x - 8

The value of B is

y = -2x - 3

The slope of the equation A is 3 and the y intercept is -8

The slope of the equation B is -2 and the y intercept is -3

The equations are solved graphically below , and the point of intersection is P ( 1 , -5 )

Since , the point of intersection of two lines is at P , the point P will be the solutions to the system of equations A and B

So , the point is P ( 1 , -5 ) and the solution is

The value of x = 1

The value of y = -5

Substitute the value of x and y in the equation A , we get

y = 3x - 8

-5 = 3 ( 1 ) - 8

-5 = 3 - 8

-5 = -5

So , the equation of line satisfies the point P ( 1 , -5 )

Substitute the value of x and y in the equation B , we get

y = -2x - 3

-5 = -2 ( 1 ) - 3

-5 = -2 - 3

-5 = -5

So , the equation of line satisfies the point P ( 1 , -5 )

Hence , The system of equations are solved graphically and the point of intersection is  P ( 1 , -5 )

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Answer:

=91.5384615385

Step-by-step explanation:

(59.5/65)x100= 91.5384615385

Answer:

Where is the diagram?

Step-by-step explanation:

Answer:

OC and OE are apposite rays so the Answer is yes

9514 1404 393

Answer:

Step-by-step explanation:

The Law of Cosines can be used to find the distance from the red boat to the lighthouse.

  b² = l² +r² -2lr·cos(B)

  b² = 18² +30² +2·18·30·cos(120°) = 1764

  b = √1764 = 42

The distance from the red boat to the lighthouse is 42 miles.

__

The angle at the lighthouse can be found using the law of sines.

  sin(L)/l = sin(B)/b

  L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°

The angle between the boats measured at the lighthouse is about 22°.

a = 7 and b = -4

Evaluate those values into the expression:

Answer:

the answer is D. 6

Step-by-step explanation:

Answer:

<HAD

Step-by-step explanation:

Complete Question

In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its French fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that only 3 out of 100 people can detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40 can taste the difference between the two oils? (2.5 pts.)

Answer:

The probability is  \(P(\^ p \ge 0.04 ) = 0.03216\)

Step-by-step explanation:

From the question we are told that

   The population proportion is  \(p = \frac{3}{100} = 0.03\)

    The sample size is  n  = 1000

 Generally the mean of this sampling distribution is  \(\mu_{x} = 0.03\)

Generally the standard deviation of this sapling distribution is  mathematically evaluated as  

        \(\sigma = \sqrt{\frac{p (1 - p)}{n} }\)

=>      \(\sigma = \sqrt{\frac{0.03 (1 - 0.03)}{1000} }\)

=>      \(\sigma = 0.0054\)

Generally the sample proportion when the number of those that can taste the difference is 40  is mathematically represented as

      \(\^ p = \frac{40}{1000} = 0.04\)

Generally the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40( \(\^ p = 0.04\)) can taste the difference between the two oils is mathematically represented  as

     \(P(\^ p \ge 0.04 ) = 1 - P(\^ p < 0.04 )\)

Here

      \(P(\^ p < 0.04 ) = P(\frac{ \^ p - \mu_{x}}{\sigma } < \frac{0.04 - 0.03}{0.0054} )\)

\(\frac{\^ p -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )\)

=>   \(P(\^ p < 0.04 ) = P(Z < 1.85 )\)

From the z table the probability of  (Z < 1.85  ) is

      \(P(Z < 1.85 ) = 0.96784\)

So

    \(P(\^ p < 0.04 ) = 0.96784\)

So

   \(P(\^ p \ge 0.04 ) = 1 - 0.96784\)

=> \(P(\^ p \ge 0.04 ) = 0.03216\)

Answer:

Step-by-step explanation:

You want the solution to right triangle RST with RS = 15, R = 72°, T = 90°.

The mnemonic SOH CAH TOA reminds you ...

  Sin = Opposite/Hypotenuse   ⇒   r = 15·sin(72°) ≈ 14.3

  Cos = Adjacent/Hypotenuse   ⇒   s = 15·cos(72°) ≈ 4.6

The acute angles in a right triangle are complementary, so ...

  S = 90° -R = 90° -72° = 18°

Answer:

Step-by-step explanation:

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

Answer:

Addition

Step-by-step explanation:

The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

The probability that the sum of the 95 values is less than 7450 is 0.1002

Given Data :

An unknown distribution has a

Mean (μ) = 80

Standard Deviation (σ) = 12

Sample Size (n) = 95

is drawn from the population.

∑X ≈ N (95 * 80, \(\sqrt{95}\) * 12)

= N (7600, 116.96)

The Probability that the sum of the 95 values is less than 7450 is given as follows :

P(∑x < 7450) = P [(∑x - μ) / s] < [(7450 - 7600) / 116.96

= P(Z < -1.282) = 0.1 (From Z table)

Hence, the probability that the sum of the 95 values is less than 7450 is 0.1002

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