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kati45 [8]
2 years ago
15

What is the area, in square units, of a triangle with vertices at (-1,-1), (3,-1), (2,2) PLEASE HELP

Mathematics
1 answer:
murzikaleks [220]2 years ago
5 0

Step-by-step explanation:

A=½bh

A=½(4•3)

A=½(12)

A=6 units sq

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A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems. (a) What
Scilla [17]

Answer:

a) P=0.3174

b) P=0.4232

c) P=0.2594

d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.

Step-by-step explanation:

The appropiate distribution to model this is the hypergeometric distribution:

P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}

a) What is the probability that none of the questions are essay?

P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174

b)  What is the probability that at least one is essay?

P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232

c) What is the probability that two or more are essay?

P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594

8 0
3 years ago
Suppose that the perimeter a rectangle is 54 feet, and the length is 13 feet more than the width. Find the width ractangle, in f
Vesnalui [34]

Answer:7feet

Step-by-step explanation:

perimeter(p)=54ft

Width(w) +13=Length(L)

Perimeter=2xLength+2xwidth

P=2xL+2xw

L=w+13

54=2(w+13)+2w

54=2w+26+2w

Collect like terms

54-26=2w+2w

28=4w

Divide both sides by 4

28/4=4w/4

7=w

Width =7feet

8 0
3 years ago
Can you help plzzz ​
Romashka-Z-Leto [24]

Answer:

1.1  ithink

Step-by-step explanation:

6 0
3 years ago
What is the image of (-4,-2) after a reflecton over the line y= -x
Slav-nsk [51]

The image of (-4, -2) after a reflection over the line y = -x is (2, -4).

<h3>What is a transformation?</h3>

In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.

<h3>The types of transformation.</h3>

Generally, there are different types of transformation and these include the following:

  1. Reflection
  2. Rotation
  3. Translation
  4. Dilation

<h3>What is a reflection?</h3>

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Geometry, a reflection over the y-axis is given by this rule (x, y) → (-x, y). Thus, line y = -x would become:

(-4, 2) → (2, -4).

Read more on transformation here: brainly.com/question/1548871

#SPJ1

7 0
1 year ago
Write an equation of the line given the two points below (Write your equation in slope-intercept form, y=mx+b): (-4, 4) and (6,
kari74 [83]

Answer:

m = -0.8

Step-by-step explanation:

Use slope formula: (y2 - y1) / (x2 - x1)

Apply formula: ( 8 ) / (-10)

Simplify: -4 / 5

Please mark for brainliest!! :D Thanks!

For any more questions or explanation / information, please comment below and I'll respond ASAP :)

4 0
3 years ago
Read 2 more answers
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