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4 years ago

The area of the triangle below is 2/5 square foot what is tge lenght in feet of the base of the triangle

Mathematics

2 answers:

LiRa [457]4 years ago

8 0

Answer:

2/3 feet

Step-by-step explanation:

anygoal [31]4 years ago

7 0

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Probability.

swat32

Answer: 0.0386

Step-by-step explanation:

Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30

Sample size : n = 12

Let x = Number of contaminated chickens

Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.

Binomial probability formula:

$P(X=x) = \ ^nC_x p^x(1-p)^{n-x}$

The probability that the consumer will have more than 6 contaminated chickens :-

$P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0$

$=0.03860084306\approx0.0386$ <em> (simplified)</em>

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Hence, the required probability = 0.0386

5 0

3 years ago

Determine if each pair of ratios or rates is equivalent. Explain your reasoning. 288 miles on 12 gallons of fuel; 240 miles 10 g

lesantik [10]

Yes they are equivalent. This is because if you simplify each fraction : 288/12 and 240/10 they both equal 24.
$\frac{288}{12} = 24$
$\frac{240}{10} = 24$

3 0

3 years ago

What single transformation maps ∆ABC onto ∆A'B'C'? A. rotation 90° clockwise about the origin B. rotation 90° counterclockwise a

Klio2033 [76]

Answer:

B. rotation 90° counterclockwise about the origin.

Step-by-step explanation:

Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.

Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.

In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.

8 0

3 years ago

Read 2 more answers

Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li

agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours?

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week?

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.

5r+10y

5*8 + 10*12

= 40 + 120

= $160

6 0

3 years ago

Help guys, I’m sure it’s easy for y’all

Artist 52 [7]

Answer:

(x, y) -------- ( -x,-y)

Rule : Rotation center (0,0) , angle of rotation 180° or -180°

Step-by-step explanation:

The vertices of the object and image have coordinates at ;

D(-4,2), --------D'( 4,-2 ),

E (-1,3), --------E'( 1,-3 ),

F (-1,-3),--------F'(1,3),

G (-3,-4),------G'( 3,4 ),

You notice that after the rotation ;

( x, y )-------change to (-x,-y),

This rule is rotation center origin angle 180°

7 0

3 years ago