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Reptile [31]
3 years ago
14

Can anyone help me on #4

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0

Answer:

<em>(a) 47° </em>

Step-by-step explanation:

360° - (135° + 110° + 68°) = 360° - 313° = <em>47°</em>

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A student takes a true-false test that has 10 questions and guesses randomly at each answer. Let X be the number of questions an
Dvinal [7]

Answer:

P(Fewer than 3) = 0.05.

Step-by-step explanation:

We are given that a student takes a true-false test that has 10 questions and guesses randomly at each answer.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 10 questions

            r = number of success = fewer than 3

           p = probability of success which in our question is probability

                that question is answered correctly, i.e; 50%

<u>LET X = Number of questions answered correctly</u>

So, it means X ~ Binom(n = 10, p = 0.50)

Now, Probability that Fewer than 3 questions are answered correctly is given by = P(X < 3)

P(X < 3)  = P(X = 0) + P(X = 1) + P(X = 2)

=  \binom{10}{0}\times 0.50^{0} \times (1-0.50)^{10-0}+ \binom{10}{1}\times 0.50^{1} \times (1-0.50)^{10-1}+ \binom{10}{2}\times 0.50^{2} \times (1-0.50)^{10-2}

=  1 \times 0.50^{10} + 10 \times 0.50^{10} +45 \times 0.50^{10}

=  0.05

Hence, the P(Fewer than 3) is 0.05.

4 0
3 years ago
What value, entered in the blank below, would make the two expressions equivalent? Expres
malfutka [58]

Answer:

The value is -3

Step-by-step explanation:

Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.

To get this done with, we will need to factorize the expression on the left hand side of the equation.

Thus, we can write;

-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)

What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.

Thus, we can finally write ;

-27x^2 + 9x + 12 as -3(9x^2 -3x -4)

This exactly gives the expression on the right hand side

Thus the value to place in the blank is -3

5 0
3 years ago
Multiply Conjugates Using the Product of Conjugates Pattern
SpyIntel [72]

Answer:

The product is the difference of squares is $$\left(11-b\right)\left(11+b\right)=121-{{b}^2}$$

Step-by-step explanation:

Explanation

  • The given expression is (11-b)(11+b).
  • We have to multiply the given expression.
  • Square the first term 11. Square the last term b.

$$\begin{aligned}&(11-b)(11+b)=(11)^{2}-(b)^{2} \\&(11-b)(11+b)=121-b^{2}\end{aligned}$$

5 0
2 years ago
1. Sameera planned a rectangular walkway to be 25 ft long. She decides to change the walkway to be 45 ft long. What is the chang
sukhopar [10]
1. i think 5 to 9
2. i think 3/8
3. 2.24
4. 164+3.28
hope this helps!
7 0
3 years ago
Read 2 more answers
What is the sum of 1/4 and 1/5?
krok68 [10]
To add them, you first need a common denominator.
So multiply <span> 1/4 by 5/5 and 1/5 by 4/4 first. 

Now they'll be 5/20 and 4/20. 

Add them to get 9/20. </span>
3 0
3 years ago
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