7/8=35/40 -1/5=5/25 what is the error

The probability of P(X = 48) and P(Y =2) is 0.1056 and 0.2642 respectively.

Suppose 10 percent of households earn over 80,000 dollars a year,and 0.25 percent of households earn over 450,000.

a random sample of 400 house-holds has been chosen

N = 400

P = 25%

n*p = 400*0.25 = 100

n(1-p) = 400 * 0.75 = 300

100 and 300 are greater than 5 so we use the normal distribution here to estimate further.

mean = n*p = 100

sd = √(np(1 - p))

sd = √(100(1 - 0.25))

sd = √(100 x 0.75)

sd = √75

sd = 8.66

p(X≥48)

= p(X≥47.5)

P(z <  (47.5 - 40)/6)

P(z < 1.25)

= 0.8944

1 - 0.8944

= 0.1056

FOR Y

N = 400 p = 0.25% = 0.0025

400 * 0.0025 = 1

1 is less than 5 so we use poisson distribution.

using the excel function,

1 - BINOMDIST(1, 400, 0.0025, TRUE)

= 1 - 0.735759074

= 0.2642

Therefore, the probability of P(X = 48) is  0.1056 and P(Y =2) is 0.2642

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Answer:

Step-by-step explanation:

The graph of the function g(x)=(x-5)²+1 is the graph of the function f(x)=x², shifted 5 units to the right along the x-axis and shifted up 1 unit along      the y-axis

Hair will grow 10.50mm in 30 days using percentage and rate concepts.

How to find rate for 1 unit ?

Divide the given number by number of total units given to find rate for 1 unit. i.e.

( Given amount ) / ( Total amount given).

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent , half of it is 50 percent , none of something is 0 percent.

In given equation ,

Hair grows at rate of 2.45mm in every 7 days.

Hair growth in 1 day = 2.45/7mm

Hair growth in 30 days = 2.45/7 * 30

                                       = 10.50mm.

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Step-by-step explanation:

the 1 is 2 is 3 so what is 4?

Answer:

Step-by-step explanation:

17 is prime and the number 7 is also prime. Composite numbers are numbers have more than two factors other than 1 and itself. Like 12, 14, and 16.

By using the concept of midpoint of a line, it can be concluded that-

F is the midpoint of AA' because EG bisects AA'

First option is correct

What is midpoint of a line?

Midpoint of a line is the point which divides the line into two equal parts.

ΔA'B'C' is the reflection of  ΔABC

E is the midpoint of BB'

F is the midpoint of AA'

G is the midpoint of CC'

EG is the bisector of BB', AA', CC'

F is the midpoint of AA' because EG bisects AA'

First option is correct

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Complete Question

The figure has been attached

Answer: D

Step-by-step explanation: trust

The true statement is: A triangle can have two acute angles. So, the answer is option C.

The sum of two acute angles is always less than 180°, thus a triangle can have two acute angles.

Option A statement is false. A triangle cannot have two right angles. If the triangle has two right angles, the sum of angles of the triangle will be more than 180°, and this is not possible.

Option B statement is false. A triangle cannot have two obtuse angles. Obtuse angles are greater than 90°, so the sum of 2 obtuse angles is greater than 180°. If we include the third angle, the sum of all three angles would be even larger. So, it is not possible for a triangle to have 2 obtuse angles.

Option D statement is false. A triangle cannot have all the three angles less than 60°. If the triangle has all the angles less than 60°, the sum of the triangle will be less than 180°, and this is not possible.

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Using the perimeter and area formular for a rectangle and semicircle, the dimension of the window should have a length of 1.68 ft and the width should also be 1.68 ft.

Dimension is measurement of width or something.

Side lengths of the window = L

Radius of semicircle = r

width = 2r

Perimeter of semicircle = πr + 2r

Hence, perimeter of window can be expressed thus :

2L + 2r + πr = 12 - - - - (1)

Area of window :

2rL + 0.5πr^2 - - - - - (2)

A = r(12 - 2r - πr) + 0.5πr^2

A = 12r - 2r^2 - πr^2 + 0.5πr^2

A = 12r - 2r^2 - 0.5πr^2

Take the derivative of A to obtain maximum value of r

dA/dr = 12 - 4r - πr = 0

4r + πr = 12

2L = 12 - 2r - πr

12 - 2*1.68 - 1.68(3.14)

2L = 3.3648

L = 3.3648 / 2

L = 1.68.

Hence, the dimension of the window should be : 1.68 by 1.68.

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Between the years 2000 and 2007, there was a total price change of 24.79.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

Hence, Between the years 2000 and 2007, there was a total price change of 24.79.

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The length of the other leg can't be found because the length of hypotenuse can't be smaller than the length of any of the sides.

What is Pythagoras theorem ?

The three sides of a right-angled triangle are explained by Pythagoras' theorem, also referred to as the Pythagorean theorem. The hypotenuse square of a right-angled triangle is equal to the sum of the squares of the other two sides, according to the Pythagoras theorem.

Given, hypotenuse = 2 cm

          one leg = 3 cm

Let the other leg to be ' x'

By Pythagoras theorem :

hypotenuse^2 = base^2 + perpendicular^2

                 2^2  =  3^2+ perpendicular^2

               perpendicular^2 = 4 - 9 = -5 which is not possible.

Here, The length of hypotenuse is smaller than the length of other side which clearly indicates that the given right triangle can't exist.

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The assertion that there exists a normal subgroup N of G such that N is of finite index in G and [N ⊂ H] is true and can be proved if "G" is a group and "H" is a subgroup of finite index.

Given,

The statement, "G" is a group and "H" is a subgroup of finite index.

We have to prove that there exists a normal subgroup N of G such that N is of finite index in G and [N ⊂ H].

Group: A group is a finite or infinite collection of elements and a binary operation (referred to as the group operation) in discrete mathematics that together meet the four essential qualities of closure, associativity, identity, and inverse.

Subgroup: If a subgroup "H" also satisfies the four essential criteria of closure, associativity, identity element, and inverse, it is a subset of a group, let's say "G" [denoted by (H ≤ G)].

Here,

By left multiplication, the group G affects the collection of left co-sets (G/H).

Hence it induces the permutation representation [ρ:G→Sₙ], where

[n = |G : H|].

(A permutation representation is a group homomorphism, it should be noted.)

Now, let (N = kerρ) be the kernel of the homomorphism (ρ). Then [N◃G].

The quotient group G/N is isomorphic to a subgroup of Sn according to the first isomorphism theorem.

In particular, G/N is a finite group, hence the index [G:N] is finite.

Finally, we show that [N ⊂ H].

For any (x ∈ N) = [ker (ρ)], we have [x(gH) = gH] for any [g ∈ G].

In particular we have (xH = H),

Hence (x ∈ H).

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If figure A is a scale image of figure B. The value of x will be 72.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that, Figure A is a scale image of Figure B.

We have to find the value of x, which is obtained by taking the ratio of the sides.

Since figure A is a scale image of figure B, there is a proper scale factor for the given data which is obtained by the ratio.

24/20=x/60

x=(60×24) / 20

x=72

Thus, if figure A is a scale image of figure B. The value of x will be 72.

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The determinant of the given elementary matrices is  20 .

What is a Matrix ?

The matrix is defined as an arrangement of set of numbers arranged in rows and columns to form a rectangular array.

In the matrix the horizontal elements are called as Rows and

the vertical elements are called as Columns .

In the question ,

it is given that ,

the matrix is  [tex]\left[\begin{array}{ccc}8&5\\4&5\end{array}\right][/tex]  ,

the determinant of the matrix is represented as ⇒ (8×5 - 5×4)

Simplifying the given expression further ,

we get ,

= 40 - 20

= 20 .

Therefore , the determinant is 20 .

The given question is incomplete, the complete question is

Compute the determinants of the elementary matrices given as [tex]\left[\begin{array}{ccc}8&5\\4&5\end{array}\right][/tex] .

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A wheel is an example of rotational symmetry . Many shapes such as squares, circles, and regular hexagons have rotational symmetry. As wheel is a rotational shape thing that's why it is consider as an example of rotational symmetry.

If the image is rotated 120 degrees of hers, then another 120 degrees of his, and finally 120 degrees of his third his, it will look the same in all three positions. This property is called rotational symmetry. Rotational symmetry is found, for example, in circles, squares, rectangles, and all regular polygons. Take an object and rotate it up to 180 degrees around its center. An object has rotational symmetry if it looked the same at any time before the revolution.

Center:

The center, fulcrum, or center of balance refers to a specific point at which an object can spin, spin, or rotate.  When we find this position, we have found the center of the object. By rotating around this center, we can determine the rotational symmetry of the rectangles.

Rotational Symmetry and Order:

Rotational symmetry is a measure of how often an object appears to rotate 360 ​​degrees in the same way. If it matches the original shape only twice, it has degree 2. If it matches 3 times, then the order is 3, and so on. Common rotation orders and object rotation amounts are: Order 2 is 180 degrees, order 3 is 120 degrees, and order 4 is 90 degrees. Order No. 5 has a temperature of 72 degrees, Order No. 6 has a temperature of 60 degrees.

Regular polygons:

Many everyday objects exhibit rotational symmetry. In mathematics, all regular polygons have rotational symmetry. For example, consider an equilateral triangle.  An equilateral triangle corresponds three times as it rotates around its center. As a result, it exhibits cubic rotational symmetry.  

Angle of Rotation:

Knowing the number of points required to rotate an object about its center is important for determining the degree of rotational symmetry, but where and when to adjust it to its original position. I know I should rotate it. In general, if you use an item frequently, physically rotating it will indicate the degree of rotation. Imagine a rectangular mobile phone.  As a result, the rectangular shape of the phone has been rotated 180 degrees twice.

                  degree of rotation = 360°/degree of rotation

You can also calculate the degree by dividing the degree of rotation by: degree = 360°/degree of rotation

A starfish rotates 72 degrees and has an order of 5. The rotational symmetry of the chemical structure of the benzene molecule is of interest. This molecule has rotational symmetry of order 6 with a rotation of 60 degrees.

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The option d is correct for the given problem.

What is test statistic?

A statistic used in statistical hypothesis testing is known as a test statistic. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data-set that reduces the data to one value that can be used to perform the hypothesis test.

Given:

The data from an independent-measures research study produce a sample mean difference of 12 points and an estimated standard error of 4 points.

Test statistics = (x bar - μ) / (σ / √n)

                      = 12 / 4

Test statistics = 3

Here the test statistics is 3.

Hence, the option d is correct for the given problem.

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Complete question:

The data from an independent-measures research study produce a sample mean difference of 12 points and an estimated standard error of 4 points. If there are n = 10 scores in each sample, then the value for the t statistic is ____.​

Select one:

a. 2

b. 4

c. 1.63

d. 3

Answer:

5(20-n)

Step-by-step explanation:

we have to find a common factor of 100 and 5

a common factor of both is 5 so we divide both terms by 5

100/5= 20

-5n/5= -n

and now we place them together

20-n

and place 5 outside of it like this

5(20-n)

hopes this helps please mark brainliest

To get 36 as a result, you can add different numbers, some examples that can work are 18+18, 24+12, 12+12+12, and 8+12+16.

This is a basic mathematical operation that involves calculating the total of two, three, or more numbers. This implies in addition you combine or add numbers and in most cases you get a bigger number. Here are some examples:

5 + 6 = 11

254 + 25 = 279

0.2 + 1.2 = 1.4

Use substraction to find possible numbers. Here is an example:

36 -18 = 18  which means 18 + 18 = 36

36 - 20 = 16 which means 20+16 = 36

Add small numbers until you get to the total. Here is an example:

2 + 4 + 8 + 6 + 3 + 7 + 5+ 1 = 36

Based on this, some numbers that you can use to get 36 are

18+18

24+12

12+12+12

8+12+16

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1

Step-by-step explanation:

She has 3 carrots and 4 cucumbers that's a week done and 6 apples so she needs 1 more

The equation of tangent plane to the given parametric surface [tex]r(u,v) = u.cos(v)i + u.sin(v)j + vk[/tex] is [tex]\frac{\sqrt3}{2}x - \frac{5}{2}y + 5z = \frac{5\pi}{3}[/tex] .

The given parametric surface is

[tex]r(u,v) = u.cos(v)i + u.sin(v)j + vk[/tex]

The tangent vectors are

⇒ [tex]r_u = \frac{dx}{du} i+ \frac{dy}{du}j + \frac{dz}{du}k[/tex]

⇒ [tex]r_u =[/tex] [tex]r(u,v) = cos(v)i + sin(v)j + 0k[/tex]

⇒ [tex]r_v = \frac{dx}{dv} i+ \frac{dy}{dv} j+ \frac{dz}{dv} k[/tex]

⇒ [tex]r_v =[/tex]  [tex]r(u,v) = -u.sin(v)i + u.cos(v)j + 1k[/tex]

The normal vector to the tangent plane is

[tex]r_u r_v = \left[\begin{array}{ccc}i&j&k\\cos(v)&sin(v)&0\\-usin(v)&ucos(v)&1\end{array}\right][/tex]

⇒ [tex]r_u r_v =[/tex] [tex]sin(v)i - cos(v)j + u.k[/tex]

When u = 5, v = [tex]\frac{\pi }{3}[/tex], the normal vector becomes

⇒  [tex]sin(\frac{\pi}{3})i - cos( \frac{\pi}{3})j + k[/tex]

⇒ [tex]\frac{\sqrt{3} }{2}i - \frac{1}{2} j + k[/tex]

The point on the surface corresponding to the u = 5 & v= [tex]\frac{\pi}{3}[/tex] is

[tex]r(5, \frac{\pi}{3}) = (5)cos(\frac{\pi}{3})i + (5)sin(\frac{\pi}{3})j + (\frac{\pi}{3})k\\r(5, \frac{\pi}{3}) = \frac{5}{2}i + \frac{5\sqrt3}{2}j + \frac{\pi}{3}k[/tex]

If a is the position vector of a point on the plane & n is a vector normal to the plane, then the equation of the plane is

⇒ (r - a).n = 0

⇒ [tex](x - \frac{5}{2}) . ( \frac{5\sqrt3}{2}) + (y - \frac{5\sqrt3}{2}).(- \frac{5}{2}) + (z - \frac{\pi}{3}).(5) = 0[/tex]

⇒  [tex]\frac{\sqrt3}{2}x - \frac{5}{2}y + 5z = \frac{5\pi}{3}[/tex]

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Answer:

c. h+j+k / 3

Step-by-step explanation:

Answer: Casual sneaker sales = $40,500 & Athletic shoe sales = $28,800

Step-by-step explanation:

If the total store sales are $900,000 and you already have the percentages of the casual sneaker sales and athletic shoe sales, then you move the decimal point in each percentage two digits to the left, or simply multiply the percentage by .01, then take that number and multiply it by the total, $900,000

Ex:

4.5%(0.01) = .045

3.2%(0.01) = .032

.045(900,000) = 40,500

.032(900,000) = 28,800

Answer:

Samuel's watch is slower than the actual time 10 seconds.

Step-by-step explanation:

30 - 20 = 10 (seconds)

So Samuel's watch is slower than the actual time 10 seconds.

PLEASE GIVE ME BRAINLIEST IF THIS IS THE CORRECT ANSWER! THANKS!

Answer: 240 seconds

Step-by-step explanation:

So, here Samuel's watch gains 20 seconds every hour with respect to the alarm clock.

Also, alarm clock lags by 30 seconds every hour with respect to the actual time.

Therefore, Samuel's watch lags by (30-20) seconds every hour with respect to the actual time.

30-20=10 seconds

In 1 hour Samuel watch deviate by 10 seconds, then in 24 hours, it deviates by 24*10 seconds= 240 seconds..

From the given data, 6 employees are ill and 7 are not ill after ate in cafeteria. and 1 employee is ill and 25 are not ill after did not ate in cafeteria.

In the given question,

Results of the questionnaire were obtained for 39 of the 40 workers at the plant.

Six of the seven ill employees ate at the factory cafeteria on September 26 and 27.

7 of 32 non-stricken workers who ate at the factory cafeteria in both days.

We have to construct a 2x2 table using these data.

6 employees are ill and 7 are not ill after ate in cafeteria.

1 employee is ill and 25 are not ill after did not ate in cafeteria.

So the table should be

                                          ILL                    Not ILL                Total

Ate in Cafeteria                  6                          7                         13

Did not ate in cafeteria       1                          25                      26

TOTAL                                  7                         32                       39

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The right question is

Results of the questionnaire were obtained for 39 of the 40 workers at the plant. Six of the seven ill employees ate at the factory cafeteria on September 26 and 27, compared to 7 of 32 non-stricken workers who ate at the factory cafeteria in both days. You also learn that the factory cook died from respiratory complication 3 weeks after hospital admissions.

In the preliminary analysis of results that you will provide to the Health Commissioner, you set up a 2 x 2 table, relating exposure and disease. You calculate the attack rate, case-fatality rate, and the relative risk of getting botulism after eating at the factory cafeteria on September 26 and 27.

1) Construct a 2x2 table using these data.

                                          ILL                    Not ILL                Total

Ate in Cafeteria

Did not ate in cafeteria

TOTAL                                                                                         39

Answer:

x=4.75

Step-by-step explanation:

4x+19=8x

-4x -4x

19 = 4x

Divide 4 on each side

4.75=x or x=4.75

The perimeter of the square will be equal to 31.96 meters.

The perimeter of the square is defined as the sum of all the sides of the square. The perimeter of the square when the diagonals of the square are given will be calculated by the product of 2√2 with the diagonal magnitude.

Given that the diagonal of the square is 11.3 meters. The perimeter of the square will be calculated as,

P = 2√2 x d

P = 2√2 x 11.3

P = 31.96 meters

Therefore, the perimeter of the square will be equal to 31.96 meters.

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The restrictions on the variables x and y are given as follows:

x ∈ W, y ∈ W.

The first step in obtaining the restrictions of the variables x and y are identifying them, which is done as follows:

Then we known that we usually hear it in the news things such as this sentence:

"On the last Buffalo Bills game, 60,000 tickets were sold".

The amount of tickets sold varies, but the type of number doesn't, it is always a positive non-decimal number.

The number of ticket sold cannot assume neither negative nor decimal values, thus the variables x and y belong to the whole number set and the first option is correct.

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The distances of the person from the first three images as seen from the left hand mirror are 10.0 ft, 30.0 ft and 40.0 ft respectively.

From the question

The person is 5.00  ft from the mirror on the left wall

But the focal length of plane mirror is infinity which means both the image and object are equidistant from mirror

Therefore, the distance of first image on left wall of the mirror is

D1 = 5.00 + 5.00

     = 10.0 ft

where D1 is first distance.

So the image is 10.0 ft away from object.

From the second image,

The right side of the mirror forms the image of object at distance of 10.0 ft from the mirror on the right wall.

The person second distance is

d2 = (2 * 10.0) +10.0

d2 = 30.0 ft

where d2 is second distance.

And the third image is acquired by the addition of the image presented by the left mirror and the image presented by the right mirror.

d3 = (2 × 5.00) + 30.0

d3 = 40.0 ft

Therefore, the distances of the person from the first three images are 10.0 ft, 30.0 ft and 40.0 ft respectively.

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On solving the question - Use the z distribution if the population variances are known; if not, use the -tdf distribution.

A measure of the distribution of a set of data points is called population variance. It measures the mean squared departure from the mean, specifically. As a result, the variance will be minimal if all of the data points are very near to the mean. The variation will be high if the data points are dispersed throughout a wide range.

The difference between the mean and the mean squared is known as the variance, and the standard deviation is the square root of that difference. Although in different units, both measurements capture the distribution's variability. The same units are used to express standard deviation and the original value.

Use the z distribution if the population variances are known; if not, use the -tdf distribution.

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Answer: 13 + 2x = 63 and the cost of one ticket is $25 (x=25)

Step-by-step explanation:

Build the equation from what it tells you.

The entire trip costs $63

The concert ticket that is included costs $13

Two passes cost the same amount, use x for what you don't know, 2x.

So,  13 + 2x = 63.

Find x = cost one pass.

13 + 2x = 63

-13.          -13

      2x= 50

    2x/2= 50/2

     x= 25

Answer: 304

Step-by-step explanation: Johnny starts with 121 apples. He then buys 3 apples from david 61 times. (3x61) 183+121 =304