Share 48 in the ratio 3 : 5

Answer:

26.2 cm

Step-by-step explanation:

b1 = (2×401.94)/19.8 - 14.4

= 40.6 - 14.4 = 26.2 cm

Answer:

The answer is -15.

Step-by-step explanation:

f(x) = 4x + 1 -- Substitute -4 for x.

f(-4) = 4(-4) + 1

= -16 + 1

= -15

Answer:

29.8 units

Step-by-step explanation:

Answer:

29.8

Step-by-step explanation:

To change from rectangular to cylindrical coordinates for points (a) (-8, 8, 8) and (b) (4, 3, 9):

(a) In cylindrical coordinates, the point (-8, 8, 8) is (r, σ, z) = (√128, 3π/4, 8).
(b) For the point (4, 3, 9), the cylindrical coordinates are (r, σ, z) = (5, 0.93, 9).


To convert from rectangular (x, y, z) to cylindrical (r, σ, z) coordinates, follow these steps:
1. Calculate r: r = √(x² + y²)
2. Calculate σ: σ =cylindrical coordinates(y/x) (note that σ is between 0 and 2π)
3. Keep the same z value.

For point (a):
1. r = √((-8)² + 8²) = √128
2. σ = arctan(8/-8) = arctan(-1) = 3π/4 (adjusted to be in the range 0 to 2π)
3. z = 8

For point (b):
1. r = √(4² + 3²) = 5
2. σ = arctan(3/4) ≈ 0.93 (adjusted to be in the range 0 to 2π)
3. z = 9

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Answer:

Step-by-step explanation: You may have a chance of getting 20 questions correct while another 20 wrong. So if you have 1/2 the probability with your class it would be around 20 correct and 20 wrong.

Answer:

c. 2n-6

Step-by-step explanation:

6 less than 2xSteve so 2n-6

Answer:

A. -2

Step-by-step explanation:

Answer:

Looks like -2

Step-by-step explanation:

When you look at where the line on the graph passes the it looks like it passes at -2.

Answer:

it's C_67$-$(?9

Step-by-step explanation:

it's )3)384((3(# 920

The correct answer for the first question is B.

Only statement 2 is accurate. Statement 1 is incorrect because an entire set of data is typically referred to as a population, not a distribution. A distribution refers to the pattern or spread of data within a population or sample.

For the second question, Ibrahim, as a planner in the Quality Assurance Department of Free Free plc, would belong to the operating core building block. Mintzberg's organizational structure theory defines the operating core as the individuals directly involved in producing the organization's products or services. Since Ibrahim is part of the Quality Assurance Department, which is responsible for ensuring the quality of the products, he falls under the operating core category. The support staff typically includes administrative or auxiliary personnel, the middle line refers to managers responsible for coordinating and overseeing different departments, and the technostructure consists of individuals who specialize in analytical and support functions related to the organization's operations.

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Answer:

Step-by-step explanation

Two angles of a triangle are in the ratio of 2:3 if the third angle is 50 degree find the other two angles

the sum of the interior angles in a triangle is 180°

so

180 - 50 = 130°

130 : 5 = 26° (unit)

26 * 2 = 52°

26 * 3 = 78°

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check

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The answer is good

Answer:

24% of a hundred is 24

Step-by-step explanation:

use fractions to help you solve this.

Answer:16

Step-by-step explanation:

Answer:

a = 4

Step-by-step explanation:

Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5.  Then, distribute 3 into a - 5 to get 3a - 15 when expanded.  Combine the two like terms 2a and 3a to get 5a.  Then, add 15 on both sides to get to this equation which is 5a = 20.  Divide 5 on both sides to get your a-value which is 4.

By using binomial distribution and formula, the probability of the indicated event (a) P(17 ≤ X ≤ 20) = 0.3040 (b) P(12 < X < 15) = 0.4675.

a) Given, the distribution is binomial X ~ B(n=22, p=0.8).

Let, X1= 17 and X2 = 20. Therefore, P(17 ≤ X ≤ 20) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20).

By using binomial formula, P(X=k) = 22Ck (0.8)^k (0.2)^(22-k).

Thus, P(X=17) = 22C17 (0.8)^17 (0.2)^5

P(X=18) = 22C18 (0.8)^18 (0.2)^4  

P(X=19) = 22C19 (0.8)^19 (0.2)^3

P(X=20) = 22C20 (0.8)^20 (0.2)^2.

By putting the values, we get P(17 ≤ X ≤ 20) = 0.0040 + 0.0212 + 0.0784 + 0.2003.

The probability of the event, P(17 ≤ X ≤ 20) = 0.3039 ≈ 0.3040.

Therefore, P(17 ≤ X ≤ 20) = 0.3040

b) Given, the distribution is binomial X ~ B(n=21, p=0.6)

Let, X1= 12 and X2 = 15. Therefore, P(12 < X < 15) = P(X = 13) + P(X = 14)

By using binomial formula, P(X=k) = 21Ck (0.6)^k (0.4)^(21-k).

Thus, P(X=13) = 21C13 (0.6)^13 (0.4)^8

P(X=14) = 21C14 (0.6)^14 (0.4^)7.

By putting the values, we get P(12 < X < 15) = 0.1657 + 0.3018

The probability of the event, P(12 < X < 15) = 0.4675 ≈ 0.4675 (rounded to 4 decimal places).

Therefore, P(12 < X < 15) = 0.4675

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The length of the rectangle is 99 yards.

What is perimeter?

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.

Given: The perimeter of a rectangular field is 362 yards.

The width of the field is 82 yards.

We have to find the length of the rectangle.

Let x is the length of the rectangle and y is the width of the rectangle.

By the definition of perimeter,

x + x + y + y = 362

      2x + 2y = 362

Plug y = 82

 2x + 2(82) = 362

    2x + 164 = 362

             2x  = 362 - 164

              2x = 198

                x = 99

Therefore, the length of the rectangle is 99 yards.

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Answer:

The correct option is A.

Step-by-step explanation:

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

,

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate :

two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)

Answer:

B

Step-by-step explanation:

The solution for the inequality -6 < - 7 - 4x is x < -/14.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

-6 < -7 - 4x

Solve for x.

-6 + 7 < -4x

1 < -4x
4x < -1

x < -1/4

Thus,

The solutions are less than -1/4.

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Answer:

C=7

Step-by-step explanation:

When you replace c for 7 you get

7 + 7 + 3(7) =35

14 + 21 = 35

35 = 35

Answer:

y = -3/8(x + 2)^2 + 8

Step-by-step explanation:

vertex form is

y = a(x - b)^2 + c     where a is a constant and (b,c) is the vertex.

The maximum is at (-2, 8)  because x 8 = height and x =-2 is equn. of symmetry

So here we have

y = a(x - (-2))^2 + 8

y = a(x + 2)^2 + 8

Now at the point (-6, 2):

2 = a(-6+2)^2 + 8

2 = 16a + 8

16a = -6

1 = -3/8.

So our equation is y = 3/8(x + 2)^2 + 8

Answer:

x ≈ 14.4 cm

Step-by-step explanation:

the third angle of the triangle = 180° - 40° - 46° = 94°

Using the Sine rule in the triangle

\(\frac{x}{sin46}\) = \(\frac{20}{sin94}\) ( cross- multiply )

x × sin94° = 20 × sin46° ( divide both sides by sin94° )

x = \(\frac{20sin46}{sin94}\) ≈ 14.4 cm ( to the nearest tenth )

Answer:

14 cm (rounded to nearest whole number)

Step-by-step explanation:

Law of Sine:

\(\displaystyle \large{\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} = 2R}\)

Given angles are:

Definition of Euclidean Triangle:

Find another angle:

So another angle is 94°.

To find:

Determine:

Therefore:

\(\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} = \dfrac{\sin 94^{\circ}}{20}}\)

Multiply both sides by 20x:

\(\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} \cdot 20x = \dfrac{\sin 94^{\circ}}{20} \cdot 20x}\\\displaystyle \large{20\sin 46^{\circ}= x\sin 94^{\circ}}\)

Divide both sides by \(\displaystyle \large{\sin 94^{\circ}}\):

\(\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = \dfrac{x\sin 94^{\circ}}{\sin 94^{\circ}}}\\\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = x}\)

Evaluate the expression, hence:

\(\displaystyle \large{x = 14.42...}\)

Round to nearest whole number:

\(\displaystyle \large{x = 14}\)

Therefore, the value of x is 14 cm.

an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is t minimize the time it takes to travel from $a$ to $b$?

Answer:

35 is the larger number.

26 is the smaller number.

Step-by-step explanation:

We don't know either number so let one of the numbers be x, the other one can be 9 less (so take away 9) x - 9

These two numbers add up to 61 ("sum" means adding)

x + x - 9 = 61

Combine the x's

2x - 9 = 61

Add 9 to both sides

2x = 70

Divide by two on both sides

x = 35

That's one of the numbers.

x - 9 = 35 - 9 = 26

So the numbers are 35 and 26.

35 is larger.

26 is smaller.

Answer:

what questions i dont see any

Step-by-step explanation:

It will take 15 months for the number of basic subscriptions to match the number of deluxe subscriptions.

Let's denote the number of months passed by "m".

In m months, the number of basic subscriptions will be 288 - 5m (since 5 basic subscriptions are decreasing each month), and the number of deluxe subscriptions will be 93 + 8m (since 8 deluxe subscriptions are increasing each month).

We want to find out when the number of basic subscriptions will match the number of deluxe subscriptions, so we can set the two expressions equal to each other:

288 - 5m = 93 + 8m

We can then solve for m:

288 - 93 = 8m + 5m

195 = 13m

m = 15

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Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

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Answer:

\(\left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)\)

and

\(x=5,\:x=-3,\:x=-\frac{1}{11}\)

Step-by-step explanation:

This problem is slightly more difficult.

We start off with the product rule. If y = v*u then in the case:

\(u=\left(x+3\right)^4,\:v=\left(x-5\right)^7\)

\(=> \frac{d}{dx}\left(\left(x+3\right)^4\right)\left(x-5\right)^7+\frac{d}{dx}\left(\left(x-5\right)^7\right)\left(x+3\right)^4\)

Now we apply the chain rule:

\(\frac{d}{dx}\left(\left(x+3\right)^4\right) = 4\left(x+3\right)^3\frac{d}{dx}\left(x+3\right)\\= 4\left(x+3\right)^3\cdot \:1\\= 4\left(x+3\right)^3\)

We can apply the chain rule again for this second bit:

\(\frac{d}{dx}\left(\left(x-5\right)^7\right) = 7\left(x-5\right)^6\frac{d}{dx}\left(x-5\right)\\= 7\left(x-5\right)^6\cdot \:1\\= 7\left(x-5\right)^6\)

So now we are left with this long equation:

\(4\left(x+3\right)^3\left(x-5\right)^7+7\left(x-5\right)^6\left(x+3\right)^4\)

Which we can actually factor:

\(4\left(x+3\right)^3\left(x-5\right)^7+7\left(x-5\right)^6\left(x+3\right)^4 = \left(x-5\right)^6\left(x+3\right)^3\left(4\left(x-5\right)+7\left(x+3\right)\right) \\= \left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)\)

...And for the second bit, if we equate to 0, we can apply the Zero Product Property to get all the x values:

\(\left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)=0,\\x=5,\:x=-3,\:x=-\frac{1}{11}\)

Answer:

53 secs

Step-by-step explanation: