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Deffense [45]
2 years ago
7

Amy and Darren each solved the following system of equations using a different method

Mathematics
1 answer:
kakasveta [241]2 years ago
8 0

Answer:

what is

Step-by-step explanation:

the the 3 4 4

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Tori spends equal amounts of time on homework from each of her subjects. She spends 1 hour altogether on her homework each night
Montano1993 [528]

Answer:

4

Step-by-step explanation:

Quarter hour on chemistry

Quarter hour on class 2

Quarter hour on class 3

Quarter hour on class 4

Total time....One hour

7 0
3 years ago
Thu wants to play “Guess My Number,"she states. “When I triple my number and add five ,I get twenty-six.what is my number?" What
AleksandrR [38]

The <em>correct answer</em> is:


Her number is 7.


Explanation:


Let x represent her number.


She triples her number; this is represented by 3x.


She then adds 5 to this; this gives us 3x+5.


She gets 26 aas her answer. This gives us the equation:

3x+5 = 26


To solve this, first subtract 5 from each side:


3x+5-5 = 26-5

3x = 21


Divide each side by 3:

3x/3 = 21/3

x = 7

5 0
3 years ago
Read 2 more answers
A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
andriy [413]

Answer:

(a) P(X \leq 20) = 0.9319

(b) Expected number of defective light bulbs = 15

(c) Standard deviation of defective light bulbs = 3.67

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

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

where, n = number of samples taken = 150

            r = number of success

           p = probability of success which in our question is % of bulbs that

                  are defective, i.e. 10%

<em>Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.</em>

So, Let X = No. of defective bulbs in a box

<u>Mean of X</u>, \mu = n \times p = 150 \times 0.10 = 15

<u>Standard deviation of X</u>, \sigma = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.7

So, X ~ N(\mu = 15, \sigma^{2} = 3.7^{2})

Now, the z score probability distribution is given by;

                Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X \leq 20) = P(X < 20.5)  ---- using continuity correction

    P(X < 20.5) = P( \frac{X-\mu}{\sigma} < \frac{20.5-15}{3.7} ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = n \times p = 150 \times 0.10 = 15.

Standard deviation of defective light bulbs is given by = S.D. = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.67

8 0
3 years ago
What does r equal in 4r+5=3r
vekshin1
4r+5=3r can also be written
4r=3r-5
1r=-5
5 0
3 years ago
4 divided by 68 with remander
Studentka2010 [4]

Answer:

4÷68=1/17 is correct answer

7 0
3 years ago
Read 2 more answers
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