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3 years ago

The following system has a solution of x=-5, y=9, z=11.

Mathematics

1 answer:

Bess [88]3 years ago

7 0

False - plug in the bramble for the first equation and you get 40 = 12 which is not true

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Refer to the accompanying technology display. The probabilities in the display were obtained using the values of n equals n=5 an

zubka84 [21]

Answer:

Yes, it is reasonable to expect that more than one subject will experience headaches

Explanation:

Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."

You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.

p = 0.732 is the probability of success (an individual experiences headaches).
n = 5 is the number of trials (number of subjects in the sample).

The meaning of the table of the distribution probability is:

The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.

To answer whether it is reasonable to expect that more than one subject will experience headaches, you must find the probability that:

X = 2 or X = 3 or X = 4 or X = 5

That is:

P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).

That is also the complement of P(X = 0) or P(X = 1)

1 - P(X = 0) - P(X = 1)

From the table:

P(X = 0) = 0.0014
P(X = 1) = 0.0189

Hence:

1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797

That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.

In conclusion, yes, it is reasonable to expect that more than one subject will experience headaches

6 0

3 years ago

dimulka [17.4K]

So car A travels Distance = 60 km/hr*(1+x)

Car B travels Distance = 75 km/hr(x)

Where x is the time in hours.

Those two equations are equal when on overtakes the other

so:

60 +60x = 75x

60=15x

x=4, but my expression is written to count from when car B commenced travel. So total time is 5 hours from the car A setting off.

3 0

2 years ago

Read 2 more answers

Two addends

nataly862011 [7]

Answer:

Step-by-step explanation:

18+6+4=28

8 0

3 years ago

An online furniture store sells chairs for $200 each and tables for $600 each. Every

Vladimir79 [104]

Answer:

Step-by-step explanation:

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32 .......1

200 C + 600 T = 12000 .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T = 5600

∴ T =

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴ C =

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴ T =

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

8 0

3 years ago

Which of the following is the result of the equation below after completing

ICE Princess25 [194]

Answer:

Step-by-step explanation:

${x}^{2} + 5x + 8 = 4 \\ = > {x}^{2} + 2 \times \frac{5}{2} \times x + \frac{25}{4} + \frac{7}{4} = 4 \\ = > ({x + \frac{5}{2} }^{2} ) + \frac{7}{4} = 4 \\ = > ({x + \frac{5}{2} }^{2} ) = \frac{9}{4}$

6 0

3 years ago