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Anit [1.1K]
2 years ago
7

A rectangular piece of land measures 20 feet by 15 feet. James created a cement sidewalk, x feet wide, to border a rectangular g

arden on all four sides as shown below.
If the garden has an area of 150 square feet, how wide is the sidewalk?
A
12.25 feet

B
6.12 feet

C
5 feet

D
2.5 feet

Mathematics
2 answers:
Irina-Kira [14]2 years ago
7 0

Answer:

The second and fourth answer are correct

Step-by-step explanation:

spayn [35]2 years ago
5 0

Answer:

2.5 feet

Step-by-step explanation:

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Let represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of is as follows.
Sindrei [870]

Answer:

a) P(X=3) = 0.1

b) P(X\geq 3) =1-P(X

And replacing we got:

P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4

c) P(X=4) = 0.3

d) P(X=0) = 0.2

e) E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2

f) E(X^2)= \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4

And the variance would be:

Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4

And the deviation:

\sigma =\sqrt{2.4} = 1.549

Step-by-step explanation:

We have the following distribution

x      0     1     2   3   4

P(x) 0.2 0.3 0.1 0.1 0.3

Part a

For this case:

P(X=3) = 0.1

Part b

We want this probability:

P(X\geq 3) =1-P(X

And replacing we got:

P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4

Part c

For this case we want this probability:

P(X=4) = 0.3

Part d

P(X=0) = 0.2

Part e

We can find the mean with this formula:

E(X)= \sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2

Part f

We can find the second moment with this formula

E(X^2)= \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4

And the variance would be:

Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4

And the deviation:

\sigma =\sqrt{2.4} = 1.549

4 0
3 years ago
True or false? The degree of a binomial is always equal to 2
wel

Answer:

false

Step-by-step explanation:

the degree is found by looking at the term with the highest exponent of the variable..

4 0
3 years ago
Read 2 more answers
What is the equation, in slope-intercept form, of the line
Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (-1,3) and (2,2), we get;

m_1=\frac{2-3}{2+1}

m_1=-\frac{1}{3}

Thus, the slope of the given line is m_1=-\frac{1}{3}

<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

m_2=-\frac{1}{m_1}

Substituting m_1=-\frac{1}{3}, we get;

m_2=-\frac{1}{-\frac{1}{3}}

simplifying, we get;

m_2=3

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting m=3 and the point (2,-1) in the above formula, we have;

y+1=3(x-2)

y+1=3x-6

     y=3x-7

Thus, the equation of the perpendicular line is y=3x-7

Hence, Option d is the correct answer.

3 0
3 years ago
the side of a triangle are in the extended ratio of 3:2:4 if the length of the shortest side is 6cm what is the length of the lo
Nat2105 [25]
In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.

2 is to 6 cm as 4 is to x

2/6 = 4/x

2x = 4 * 6

2x = 24

x = 12

Answer: The longest side measures 12 cm.
7 0
3 years ago
I think the answer is c can someone check me
Katen [24]

Answer:

D

Step-by-step explanation:

you first have to find the domain by finding where the expression is defined

so the answer would be x>5

6 0
3 years ago
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