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Kitty [74]
3 years ago
10

for each question on a five question multiple choice test, there are four possible answers which exactly one is correct. A stude

nt, who did not study or attend class, is going to select his answeres is completely at random. If the random variable x represents the number of correct answers he selects, write the probability distribution of the random varuable x
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

X follows a Binomial Distribution with n = no. of questions and p = ¼

X ~ B(n , 0.25)

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What is the slope of the line represented by the equation y = -1/2x + 1/4?
Murrr4er [49]

Answer:

<em>m=-1/2</em>

Step-by-step explanation:

The equation is in y=mx+b form. M is the slope. In this equation, -1/2 is m.

Therefore the slope is -1/2.

7 0
3 years ago
Read 2 more answers
State if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statemen
yuradex [85]

Answer:

Answer is option 2

Step-by-step explanation:

We know that Angle M = Angle G (given in diagram)

We also know that Angle L in triangle LMN is equal to Angle L in triangle LGH

As two angles are equal in both triangles they are similar.

But why is it Triangle LGH instead of Triangle HGL?

As we know M=G therefore they should be in the same place in the name Of the triangle. In triangle LMN M is in the middle therefore Angle G should also be in the middle

7 0
3 years ago
For an object whose velocity in ft/sec is given by v(t) = −t^2 + 4, what is its displacement, in feet, on the interval t = 0 to
tekilochka [14]
Its either A or D if its wrong sorry hope this helped tho
3 0
3 years ago
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Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form
yKpoI14uk [10]

Answer:

\displaystyle  a_{1}    = 108

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

\displaystyle S_{ \text{n}} =  \frac{ a_{1}(1 -  {r}^{n} )}{1 - r}

we are given that

  • S_n=189
  • r=\dfrac{1}{2}
  • n=3

thus substitute:

\displaystyle 189=  \frac{ a_{1}(1 -  {( \frac{1}{2} )}^{3} )}{1 -  \frac{1}{2} }

to figure out a_1 we need to figure out the equation

simplify denominator:

\displaystyle  \frac{ a_{1}(1 -  {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2}  }  = 189

simplify square:

\displaystyle  \frac{ a_{1}(1 -  {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2}  }  = 189

simplify substraction:

\displaystyle  \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2}  }  = 189

simplify complex fraction:

\displaystyle   a_{1} (\frac{7}{8} ) \div { \frac{1}{2}  }  = 189

calculate reciprocal:

\displaystyle   a_{1} \frac{7}{8}   \times 2  = 189

reduce fraction:

\displaystyle   a_{1} \frac{7}{4}   \  = 189

multiply both sides by 4/7:

\displaystyle   a_{1} \frac{7}{4}  \times  \frac{4}{7}   \  = 189 \times  \frac{4}{7}

reduce fraction:

\displaystyle   a_{1}     = 27\times  4

simplify multiplication:

\displaystyle  a_{1}    = 108

hence,

\displaystyle  a_{1}    = 108

4 0
3 years ago
Nick estimates 1/10+6/10 is about 1. Is his estimate reasonable? If not, estimate the sum
Margaret [11]

Answer:

His estimate is reasonable

Step-by-step explanation:

1/10 + 6/10 = 7/10, which can be rounded to 1

1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10, 1

As you can see, 7/10 is very close to 1.

Hope this helps!

8 0
3 years ago
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