All categories

3 years ago

A number decreased by 7%

2 answers:

7 0

X-7/100
OR
X-0.07
Since we don't know the number we need a variable which can be any alphabet so I chose "X".
For example if it were 7 decreased by 7 percent, it would be equal to:
7 - 7/100=6.93

Anarel [89]3 years ago

7 0

93 x
--- = ------

100 Full Number

*****************

93(full number) = 100x
Then divide by 100

*****************

Here is an Example:

93(10) = 100x
930 = 100x
Divide each side by 100

9.3

P.S
The reason the answer isn't 7 is because it's not 70%

You might be interested in

In the diagram below, points A, E, and F lie on the same line. If ABCDE is a regular pentagon, and \angle EFD=90^\circ, then how

mash [69]

The measure of ∠FDE = 18°

Explanation:

A Pentagon has 5 sides and is made of 3 triangles

So, sum of the interior angles of the triangle = 180°

Therefore, the total interior angle of a regular pentagon = 3 X 180° = 540°

A regular pentagon will have all its angle equal

All the five angles would make 540°

Let the measure of one angle = x

So,

5x = 540°

x = 108°

Therefore, the measure of each angle of a pentagon is 108°

From the diagram,

∠AED + ∠FED = 180°

∠AED = 108° as it is one of the sides of the pentagon

So,

108° + ∠FED = 180°

∠FED = 72°

In ΔEFD,

∠FED + ∠EFD + ∠FDE = 180°

72° + 90° + ∠FDE = 180°

∠FDE = 18°

Therefore, the measure of ∠FDE = 18°

8 0

3 years ago

Find the domain of each function using interval notation. (Please help I have an exam tomorrow and I’m really stuck)

stellarik [79]

Answer:

For number 9)

Interval notation $(-\infty,3]$

For number 10)

Interval notation: $(-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)$ .

Step-by-step explanation:

On square roots you have to make sure the inside is positive or zero.

So the domain of the first one will come from solving

$6-2x \ge 0$

Subtract 6 on both sides:

$-2x \ge -6$

Divide both sides by -2 (flip inequality when divide both sides by negative):

$x \le 3$

The domain is less than or equal to 3.

Interval notation $(-\infty,3]$

On fractions you have to watch out for dividing by 0.

The domain is all real numbers except when 4x+2=0.

4x+2=0

Subtract 2 on both sides:

4x=-2

Divide both sides by 4:

x=-2/4

Reduce:

x=-1/2

The domain is all real numbers except when x=-1/2

Interval notation: $(-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)$ .

5 0

4 years ago

Read 2 more answers

A broker has calculated the expected values of two different financial instruments X and Y. Suppose that E(x)= $100, E(y)=$90 SD

Sveta_85 [38]

Expectation is linear, meaning

E(a X + b Y) = E(a X) + E(b Y)

= a E(X) + b E(Y)

If X = 1 and Y = 0, we see that the expectation of a constant, E(a), is equal to the constant, a.

Use this property to compute the expectations:

E(X + 10) = E(X) + E(10) = $110

E(5Y) = 5 E(Y) = $450

E(X + Y) = E(X) + E(Y) = $190

Variance has a similar property:

V(a X + b Y) = V(a X) + V(b Y) + Cov(X, Y)

= a^2 V(X) + b^2 V(Y) + Cov(X, Y)

where "Cov" denotes covariance, defined by

E[(X - E(X))(Y - E(Y))] = E(X Y) - E(X) E(Y)

Without knowing the expectation of X Y, we can't determine the covariance and thus variance of the expression a X + b Y.

However, if X and Y are independent, then E(X Y) = E(X) E(Y), which makes the covariance vanish, so that

V(a X + b Y) = a^2 V(X) + b^2 V(Y)

and this is the assumption we have to make to find the standard deviations (which is the square root of the variance).

Also, variance is defined as

V(X) = E[(X - E(X))^2] = E(X^2) - E(X)^2

and it follows from this that, if X is a constant, say a, then

V(a) = E(a^2) - E(a)^2 = a^2 - a^2 = 0

Use this property, and the assumption of independence, to compute the variances, and hence the standard deviations:

V(X + 10) = V(X) ==> SD(X + 10) = SD(X) = $90

V(5Y) = 5^2 V(Y) = 25 V(Y) ==> SD(5Y) = 5 SD(Y) = $40

V(X + Y) = V(X) + V(Y) ==> SD(X + Y) = √[SD(X)^2 + SD(Y)^2] = √8164 ≈ $90.35

8 0

4 years ago

Geometry Angles question 3, Thanks if you help

Andre45 [30]

Answer:

Step-by-step explanation:

64 + 62 = 126

180 - 126 = 54

5 0

4 years ago

Read 2 more answers

What does three more mean in a verbal expression

viktelen [127]

3 more means u add 3

7 0

3 years ago

Read 2 more answers