find the two number whose A.M is 5 and G.M is 4​

The normal approximation to the binomial distribution is C ( n , r ) * p^r * q^n - r .

a )

the binomial distribution .

Null hypothesis H0: μ = 19.4

Alternative hypotheses H1: μ ≠ 19.4

19.4 with minus sign, we get

n = 20, x = 4 and n/2 = 10

Here x < n/2

Therefore, from table the computed P-Value is.

b )

the normal approximation to the binomial distribution ,

P = 2P(X ≤ 4 when θ = 1/2 )

= 2 (0.0059)

= 0.0118

Hence the P value, 0.0118, is less than 0.05, the null hypothesis must be rejected, and we conclude that the mean of the population is not 19.4 minutes.

Learn more about the hypothesis here:

https://brainly.com/question/17173491

#SPJ4

Answer:

Step-by-step explanation:

total number of attendees=210

no.of students attendees=x

no.of general attendees=210-x

total sales =$1296

Student ticket=$3

General ticket = $7.50

3x+(210-x)7.50 =1296

3x -7.5X+1575=1296

-4.5x=-279

x=62

so no of student attendees =62

no.of general attendees=210-62 = 148

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

I dont have an explanation, sorry

Answer The answer will be 0.125

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

the only point where they intersect is the solution

here , (-1,-1)

The probability P(0.25 < X < 0.75) is equal to 0.440.

The probability density function (PDF) of a continuous random variable describes the likelihood of the variable taking on specific values. In this case, the PDF is defined as follows:

f(x) = 2.25 - x^2 0 < x < 1.5

0 otherwise

To find P(0.25 < X < 0.75), we need to calculate the integral of the PDF within the given interval:

P(0.25 < X < 0.75) = ∫[0.25, 0.75] f(x) dx

Substituting the PDF into the integral, we have:

P(0.25 < X < 0.75) = ∫[0.25, 0.75] (2.25 - x^2) dx

Evaluating this integral, we find:

P(0.25 < X < 0.75) = [(2.25x - (1/3)x^3)]|[0.25, 0.75]

Calculating the expression at the upper and lower limits of integration, we get:

P(0.25 < X < 0.75) = [(2.25 * 0.75 - (1/3) * (0.75)^3) - (2.25 * 0.25 - (1/3) * (0.25)^3)]

Simplifying this expression gives us:

P(0.25 < X < 0.75) = 0.440

Learn more about integral here:

https://brainly.com/question/31109342

#SPJ11

Answer:

50 cm^3/s

Step-by-step explanation:

Since the rate is halves, the flow is also halved. Normally it flows at

4000/40 = 100 cm^3/s

100/2 = 50

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

Know more about quadratic expression here:

https://brainly.com/question/31368124

#SPJ11

The surface area is 340 in².

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

The surface area of a square base pyramid.

= 2ah + a²

Where a is the side of the square and h is the height of the triangular surface.

Now,

h = 12 inch

a = 10 inch

Surface area:

= 2 x 10 x 12 + 10²

= 240 + 100

= 340 in²

Thus,

340 in² is the surface area of the given pyramid.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ1

y2-y1

x2-x1

that's what you want to follow when calculating slope

-1-5

6- (-3)

-6

-3

a double negative equals a positive so your slope would be

6

3

simplified, it equals 3

your slope is 3! I hope I could help! :)

-2/3 is the slope of the line containing points (-3, 5) and (6, -1)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Now we have to find the slope of the line containing (-3, 5) and (6, -1)

m=-1-5/6-(-3)

=-6/6+3

=-6/9

Divide numerator and denominator by 3

=-2/3

Hence, -2/3 is the slope of the line containing (-3, 5) and (6, -1)

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

\(\\ \sf\longmapsto 2a^2-2ab-3b^2-9\)

\(\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9\)

\(\\ \sf\longmapsto 2(9)-12-3(4)-9\)

\(\\ \sf\longmapsto 18-12-12-9\)

\(\\ \sf\longmapsto 6-18\)

\(\\ \sf\longmapsto -12\)

Answer:

3

Step-by-step explanation:

2(3)^2 - 2(3)(2) - 3(2)^2 + 9

2(9) - 12 - 3(4) + 9

18 - 12 - 12 + 9

= 3

Answer from Gauth math

9514 1404 393

Answer:

  d

Step-by-step explanation:

The geometric sequence is ...

  20, 10, 5

so has a common ratio of 10/20 = 5/10 = 1/2.

Only one answer choice shows that each successive term is 1/2 the one before. That is choice D.

The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.

Given that,

Height of the pyramid =4.7

Pyramid's slant height= 5.2

Base of pyramid is a square with side=3.5

Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)

=19.19 in³

The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)

=18.65in²

Therefore, the volume of the pyramid=19.19 in³

And the surface area of the pyramid=18.65in²

To know more about volume of a pyramid, visit:

https://brainly.com/question/17615619

#SPJ4

Answer:

The output is 22

Step-by-step explanation:

So, you are going to want to plug in 5 for x, therefore-

y = 5(5) - 3

Solve from there

y = 25 - 3

y = 22

Answer:

x = 5 and y = 22

Step-by-step explanation:

y = 5 x − 3

y = ( 5 ) ( 5 ) − 3

y = 22

If the city is planting each tree 12 feet apart, then they can plant 880 trees on 2 miles of streets.

To determine how many trees can be planted on 2 miles of streets, we need to convert the distance from miles to feet. Since there are 5,280 feet in a mile, 2 miles of streets would be equal to:

2 * 5,280 = 10,560 feet.

Given that each tree is being planted 12 feet apart, we can divide the total length of the streets by the distance between each tree to find the number of trees that can be planted.

So, 10,560 feet divided by 12 feet per tree equals 880 trees. Therefore, they can plant 880 trees on 2 miles of streets.

To learn more about miles: https://brainly.com/question/7716790

#SPJ11

Answer:

126 people

Step-by-step explanation:

9/5 is the ratio tea/coffee

let x be the one who preferred coffee and x+36 preferred tea

9/5=x+36/x

9x=5x+5(36)

9x-5x=180

4x=180

x=180/4=45

x=45 coffee

x+36=45+36=81

45+81=126

check : 81/45= 9/5

Answer:

x = 110; y=65

Step-by-step explanation:

X = 110 because A||B

in the small triangle we have 45° , y° and n° ( n is the missing angle )

n + x = 180

n = 180 -110

n = 70

triangle :

70 + 45 + y = 180°

115 + y =180

y = 180 - 115

y = 65°

Answer:

look at the picture i have sent

3 1/2 yards

Step-by-step explanation:

She needs 4 2/3 or 14/3 yards

She has 3/4 of that. / of is a sign of multiplication

3/4 of 14/3

3/4 * 14/3

42/12. Simplify

14 / 4. So she has 14/4 or 3 1/2 yards

The coordinates of E' is (-5, -1)

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given that, a point E (-5, 1) on the coordinate plane, is being reflected over the x-axis to create point E', we need to find the coordinates of E',

The rule of reflection over the x-axis is:

(x, y) → (x, -y)

That mean,

The x coordinates remains same and the sign of y coordinates gets changed,

Therefore,

(-5, 1) → (-5, -1)

Hence, the coordinates of E' is (-5, -1)

Learn more about reflected, click;

https://brainly.com/question/30270479

#SPJ1

Answer:

PR=28

Step-by-step explanation:

PQ+QR=PR

SO

17.1+10.9=28

Answer:

52

Step-by-step explanation:

.................................

Answer:

52

Step-by-step explanation:

its too hard to explain

Answer:

2/3-1/2

Step-by-step explanation:

#/#/$^%/£'fcjcutyfyi

The solution is: 2/3 - 1/2  is reduced to its lowest terms of 8/12-4/8.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

8/12-4/8

now, we have to reduced to its lowest terms.

so, we have,

8/12 to get the reduced form , we have to divide both side by 4,

we get, 8/12 = 2/3

similarly, 4/8 = 1/2

so, we get,

8/12-4/8

=2/3 - 1/2

= reduced to its lowest terms

Hence, 2/3 - 1/2  is reduced to its lowest terms of 8/12-4/8.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

Answer:

Step-by-step explanation:

from table , we can see that ,

quadratic equation gives same solution for positive and negative numbers .

According to this we can se that option 1 is a quadratic equation

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

For more questions on Angle .

https://brainly.com/question/31615777

#SPJ8

Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The other five trigonometric function values of angle θ, given that cot θ = 7/3 and θ is acute, we can use the definitions of the trigonometric functions and the given value of cot θ.

cot θ = 7/3, we can use the definition of cotangent to find the values of the other trigonometric functions.

cot θ = 7/3 can be rewritten as:

cot θ = adjacent side / opposite side

From this, we can deduce that the adjacent side is 7 and the opposite side is 3.

Using the Pythagorean theorem, we can find the length of the hypotenuse. Let's label it as 'r'.

r^2 = (adjacent side)^2 + (opposite side)^2

r^2 = 7^2 + 3^2

r^2 = 49 + 9

r^2 = 58

r = √58

Now that we have the lengths of the sides of the right triangle formed by angle θ, we can determine the other trigonometric function values.

sine (sin θ) = opposite side / hypotenuse

sin θ = 3 / √58

cosine (cos θ) = adjacent side / hypotenuse

cos θ = 7 / √58

tangent (tan θ) = opposite side / adjacent side

tan θ = 3 / 7

cosecant (csc θ) = 1 / sin θ

csc θ = 1 / (3 / √58)

csc θ = √58 / 3

secant (sec θ) = 1 / cos θ

sec θ = 1 / (7 / √58)

sec θ = √58 / 7

Hence, the other five trigonometric function values of angle θ are:

sin θ = 3 / √58

cos θ = 7 / √58

tan θ = 3 / 7

csc θ = √58 / 3

sec θ = √58 / 7

learn more about functions click here;

https://brainly.com/question/30721594

#SPJ11

Answer:

I think it is 4/5 because when you have a remainder you put it on top over the first number (5)

Step-by-step explanation:

Hope this helped and sorry if this didn't help :(

Answer:

15

Step-by-step explanation:

Angle 2 is 2x+10

angle 4 is 4x+80

and from the figure we can understand that when we add these 2 equations

We get

6x+ 90= 180

6x = 180 - 90= 90

6x= 90

x = 90 ÷ 6 = 15

answer = 15

Answer:

45

Step-by-step explanation:

A number consists of 2 digits whose sum is 9 => x + y = 9

If the order of the numbers is inverted, the result is equal to the given number plus 9 units => (10*y + x) + 9 = (10*x + y)

Thus:

x + y = 9  => multiply by -9 => 9*y + 9*x = 81

10*y + x + 9 = 10*x + y =>  9*y - 9*x = -9

We are left then that:

9*y + 9*x = 81  (1)

9*y - 9*x = -9  (2)

we add both equations

18y = 72

y = 72/18 = 4

replacing

x + y = 9

x + 4 = 9

x = 5

Therefore the number is (10y + x) => (10 * 4 + 5) => 45