What is a equivalent ratio of 4 : 2

I’m completely lost can anybody help solve this

Marizza181 [45]

Answer:

$\huge\boxed{x=54^o}$

Step-by-step explanation:

Look at the picture.

We have:

$l=108^o$

Therefore

$2\alpha=108^o$ divide both sides by 2

$\dfrac{2\alpha}{2}=\dfrac{108^o}{2}\\\\\alpha=54^o$

7 0

3 years ago

Sam is planting a garden that measures

nikitadnepr [17]

Answer:

63.7 feet

Step-by-step explanation:

We can re-write the width and the length both as rational numbers:

- Width: $w=6.5=\frac{65}{10}$

- Length: $L=9.8=\frac{98}{10}$

So now we can find the area of the garden by multiplying width and length:

$A=wL=\frac{65}{10}\cdot \frac{98}{10}=\frac{65\cdot 98}{10\cdot 10}=\frac{6370}{100}=63.7$

7 0

2 years ago

Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the ce

adoni [48]

Answer:

The answer is √58 = 7.62

Step-by-step explanation:

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).

Use the Pythagorean theorem:

c² = a² + b²

a = 3

b = 7

c² = 3² + 7²

c² = 9 + 49

c² = 58

c = √58

c = 7.62

8 0

3 years ago

Read 2 more answers

A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the s

katovenus [111]

Answer:

i think 7

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste

lidiya [134]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$ In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$ And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

For this case we have the following distribution given:

X 3 4 5 6

P(X) 0.07 0.4 0.25 0.28

We can calculate the mean with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$

In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$

And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

3 0

3 years ago