126. If the marked price of an article is 40% above the cost price. By how much percent cost price is less than the marked price?​

The probability that a randomly selected x-value from the distribution will be in the interval:

The probability of a normal distribution can be determined from the symmetrical curve between 1 to 100%.

From the information given:

To determine the probability that a randomly selected x-value is in the given interval:

[tex]P(35 < x < 45) = P(\dfrac{35-40}{5} < Z < \dfrac{45-40}{5})[/tex]

[tex]P(35 < x < 45) = P(\dfrac{-5}{5} < Z < \dfrac{5}{5})[/tex]

[tex]P(35 < x < 45) = P(-1 < Z < 1)[/tex]

[tex]\mathbf{P(35 < x < 45) = P[Z\le 1] -P[Z\le -1]}[/tex]

Using normal distribution table:

P(35 < x < 45) = 0.8414 - 0.1587

P(35 < x < 45) = 0.6827

[tex]P(30 < x < 40) = P(\dfrac{30-40}{5} < Z < \dfrac{40-40}{5})[/tex]

[tex]P(30 < x < 40) = P(\dfrac{-10}{5} < Z < \dfrac{0}{5})[/tex]

[tex]P(30 < x < 40) = P(-2 < Z < 0)[/tex]

[tex]\mathbf{P(30 < x < 40) = P[Z\le0]-P[Z\le -2]}[/tex]

Using normal distribution table:

P(30 < x < 40) = 0.5 - 0.02275

P(30 < x < 40) = 0.47725

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Answer:

See below

Step-by-step explanation:

(6x+14)(x-8)   =           Expand

   6x^2 - 48x + 14x - 112 =

     6x^2 - 34x-112        A = 6  B = -34

Answer:

Step-by-step explanation:

[tex]x(6x+14)-8(6x+14)\\6x^2+14x-48x-112\\[/tex]

Rest, you have to substitute the value. Such as A= -112

Answer:

6^4 * 6^3

Step-by-step explanation:

The weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles was 3:4

Let 3x and 4x are the seeds from the smaller and bigger pile.

= 4x + 2  (greedy hamster placed another 2 pounds of seeds in the bigger pile)

= 3x - 1/4 (ate 1/4 pound from the smaller pile)

4x + 2 = 5x

Because the quantities of seeds in those piles is in the ratio of 5:16

After solving:

x = 2

Smaller pile weight = 3x = 3(2) = 6

Bigger pile wieght = 4x = 4(2) = 8

Thus, the weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4

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Answer: no they are not similar

Step-by-step explanation: if you find the ratio of sides 85:17, it is 5

The ratio of sides 30 to 6 is also 5

However, the ratio of sides 54 to 9 is 6 so it is not similar

The ratio has to be the same for all sides to be similar

The compound amount and the interest earned are $13,222.17 and $2,222.17 respectively.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We know the formula for continuous compounding:

[tex]\rm A = P(e)^{rt}[/tex]

[tex]\rm A = 11000(e)^{0.023\times8}[/tex]

A = $13,222.17

I = A - P = 13,222.17 - 11000

I  = $2,222.17

Thus, the compound amount and the interest earned are $13,222.17 and $2,222.17 respectively.

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The magnitude of the resultant vector is 22.6 m and the direction is 56.8⁰.

Ax = A cosθ

Ay = A sinθ

Ax = 7.7 x cos(27.8)

Ax = 6.81 m

Ay = 7.7 x sin(27.8)

Ay = 3.59 m

Bx = B cosθ

By = B sinθ

θ with respect to x - axis = 90 - 20 = 70⁰

Bx = 16.3 m x cos(70)

Bx = 5.575 m

By = 16.3 m x sin(70)

By = 15.32 m

Vx = Ax + Bx

Vx = 6.81 m + 5.575 m = 12.385 m

Vy = Ay + By

Vy = 3.59 m + 15.32 m = 18.91 m

V = √(Vy² + Vx²)

V = √(18.91² + 12.385²)

V = 22.6 m

tan θ = Vy/Vx

tan θ = (18.91)/(12.385)

tan θ = 1.527

θ = arc tan (1.527)

θ = 56.8⁰

Thus, the magnitude of the resultant vector is 22.6 m and the direction is 56.8⁰.

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Answer:

294pi

Step-by-step explanation:

1/3*pi*r^2*h=V

1/3*pi*49*18=V

V=294pi

a. The exact value of cosθ = -5/√74

b. The exact value of secθ = -√74/5

c. The exact value of cotθ = 5/7

Since the terminal side of the θ is the point, (-5, -7), we need to find the length of the terminal side.

So, r = √(x² + y²) where

So, r = √(x² + y²)

r = √((-5)² + (-7)²)

r = √(25 + 49)

r = √74

Since the trigonometric ratio cosθ = x/r

Substituting the values of x and r into the equation, we have

cosθ = x/r

cosθ = -5/√74

So, the exact value of cosθ = -5/√74

Since the trigonometric ratio, secθ = r/x

Substituting the values of x and r into the equation, we have

secθ = r/x

secθ = √74/-5

secθ = -√74/5

So,  the exact value of secθ = -√74/5

Since the trigonometric ratio cotθ = x/y

Substituting the values of x and y into the equation, we have

cotθ = x/y

cotθ = -5/-7

cotθ = 5/7

So,  the exact value of cotθ = 5/7

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The proportion in the tail with regards to the z scores will be:

a. z= 1.00

P(z > 1.00) = 1 - P(Z < 1.00)

= 1 - 0.8413

= 0.1587

The tail will be on the right side.

The proportion of the tail will be 0.1587.

b. z = 0.50

P(z > 0.50) = 1 - P(Z < 0.50)

= 1 - 0.6915

= 0.3085

The tail will be on the right side.

The proportion of the tail will be 0.3085

c. z= -1.25

P(z < -1.25)

= 0.1056

The tail will be on the left side.

The proportion of the tail will be 0.1056.

d. z= -0.40

P(z < -0.40)

= 0.3446

The tail will be on the left side.

The proportion of the tail will be 0.3446.

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The product (a+b)(a-2b) is a^2 - ab - 2b^2

The product expression is given as:

(a+b)(a-2b)

Expand the bracket

a * a - a * 2b + b * a - b * 2b

Evaluate the product

a^2 - 2ab + ab - 2b^2

Evaluate the like terms

a^2 - ab - 2b^2

Hence, the product (a+b)(a-2b) is a^2 - ab - 2b^2

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Answer:

90 ft³

Step-by-step explanation:

V = LWH

V = (2 ft)(3 ft)(1 ft)

V = 6 ft³

Each planter has a volume of 6 ft³.

total volume = 15 × 6 ft³ = 90 ft³

Answer:

d) -8 × 3 = -24

Step-by-step explanation:

a) -18 ÷ 6 = -3

b) 30 ÷ 3 = 10

c) -7 × -7 = 49

d) -8 × 3 = -24

Above from all, option d is done correctly.

Note: when negatives are multiplied together or divided they cancel out to being positive. For example: -1 × -1 = 1

Hello!

Let's solve to verify whether the equations are true.

⇒ -18 ÷ 6 = -3

⇒ Given answer : 3

⇒ Incorrect

⇒ 30 ÷ 3 = 10

⇒ Given answer : -10

⇒ Incorrect

⇒ -7 × -7 = 49

⇒ Given answer = -49

⇒ Incorrect

⇒ -8 × 3 = -24

⇒ Given answer = 24

⇒ Correct

∴ The equation which is correctly calculated is -8 × 3 = -24.

Answer:x=4

Step-by-step explanation:

tendrías que poner términos similares juntos, asegurándote de cambiar el signo de cualquier figura que cruce el igual al signo. luego restarías o sumarías, resolverías las ecuaciones de cada lado, ya que ahora están agrupadas. luego dividirás tu respuesta por el coeficiente que es 2 (2x). esto te dejaría con 4

4x - 2x = 1+7

4x-2x= 8

2x =8

divisir

x=8

Answer:

if we plus 12 and 10the answer is 22 feet

The total weight of cabbage is 14 1/4

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Given:

Yasmin purchased 6 heads of cabbage that each weighed 2 and  3/8 pounds.

So,

2 and 3/8 = 19/8

1 cabbage = 19/8 pounds

6 cabbages = x pounds

1 * x = 6 * 19/8

x = 114/8

x = 14 2/8

x = 14 1/4

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The final displacement is 2cm in the right.

Given that the object begins from 0 and moves 3 cm towards the left side and then, 5 cm towards the right side.

The displacement is known as shortest distance between the initial and final positions.

Let the x-axis be the positive, +ve, and on the right side and negative -ve on the left side.

Thus, displacement would be:

D= 0 -3 +5

D= 2 cm

This implies that the object displaces 2cm towards the right side

Hence, the final displacement when object moves from 0 and 3 cm to the left and then 5 cm to the right is 2cm in the right side.

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Answer:

2cm to the right

Step-by-step explanation:

i got this right hope it helps :)

Answer:

1. Colouring Pencil 2. Notebook 3. Pencil Case

Step-by-step explanation:

Answer:

$4.48

Step-by-step explanation:

It takes $1.12 to feed one kid, to find the cost of all four kids we multiply 1.12 by 4

1.12*4 = $4.48

Answer:

endpoint or straight lines

Step-by-step explanation:

same

I assume you meant [tex]g(x)=4^x -1[/tex].

The graph is shown in the attached image.

The two points on the graph are (0,0) and (1, 3).

The asymptote is y = -1.

The domain is (-∞,∞)

The range is (-1,∞)

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 2 2 2=25 for the number 32. This phrase should be understood as "two to the fifth power."

The two points on the graph are (0,0) and (1, 3).

The asymptote is y = -1.

The domain is (-∞,∞)

The range is (-1,∞)

The graph of the function is attached with the answer.

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Explanation:

There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1

7,6,5,4,3,2,1

Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark

7! = 7*6*5*4*3*2*1 = 5040

Answer:

0

Step-by-step explanation:

same numerator for that it is zero

Answer: A

Step-by-step explanation:

The option fourth StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Let x be the number.

According to the problem.

50% of x = 10

x = 10 ÷ 50%

= 10×(50/100)

= (50÷5)/(100÷5) = 10/20

Thus, the option fourth StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction is correct.

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Hello,

    3y + 4 < 16

⇔ 3y < 16 - 4

⇔ 3y < 12

⇔ y < 12/3

⇔ y < 4

⇒ S = ] - ∞ ; 4 [

Answer:

0.25 or 1/4

Step-by-step explanation:

P(coin is flipped as head) = 0.5 or 1/2 (one of 2 sides)

P(coin is flipped as head twice) = P(coin is flipped as head) x P(coin is flipped as head)

= 0.5 x 0.5

= 0.25 or 1/4

Answer:

D

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

To evaluate the function f(-4), we let x =4 in f(x) = [tex]2^{x}[/tex]

f(-4) = [tex]2^{-4}[/tex]

     = 1/[tex]2^{4}[/tex]

     =1/16

Matching each equation of the plecewise function represented in the graph will be:

It should be noted that a domain simply means the set of inputs that are accepted by the function.

In this case, the equation of the piecewise function represented is given.

The graph is attached.

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Answer:

6(q + 9)

Step-by-step explanation: