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3 years ago

3 = 3/2 ( 7x + 10 )

Mathematics

1 answer:

crimeas [40]3 years ago

5 0

Answer:

x = -1.142857

Step-by-step explanation:

Start by distributing the 3/2 in the parentheses.

3 = 10.5x + 15

Next, get the variables on one side. There are a few way to do this, the easiest being to subtract 15 from both sides.

-12 = 10.5x

Now you need to get the variable alone. Do this by dividing both sides by 10.5.

-1.142857 = x

Hope this helps you out.

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If f(4) = 5, find f ^-1 (5).

Levart [38]

Answer:

Step-by-step explanation:

The relation defined by f includes (4, 5). Then the inverse relation will include (5, 4).

$f^{-1}(5)=4$

7 0

3 years ago

The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it

brilliants [131]

Answer:

(a) 11.25 and 1.68

(b) 0.1651

(c) 0.3903

(d) 0.6865

Step-by-step explanation:

We are given that GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases and suppose the 15 cases reported today are representative of all complaints.

This situation can be represented through Binomial distribution as;

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

where, n = number of trials (samples) taken = 15

r = number of success

p = probability of success which in our question is % of cases in

which customer problems are resolved on the same day, i.e.;75%

So, here X ~ $Binom(n=15,p=0.75)$

(a) Expected number of problems to be resolved today = E(X)

E(X) = $\mu$ = n * p = 15 * 0.75 = 11.25

Standard deviation = $\sigma$ = $\sqrt{n*p*(1-p)}$ = $\sqrt{15*0.75*(1-0.75)}$ = 1.68

(b) Probability that 10 of the problems can be resolved today = P(X = 10)

P(X = 10) = $\binom{15}{10}0.75^{10}(1-0.75)^{15-10}$

= $3003*0.75^{10} *0.25^{5}$ = 0.1651

= $\binom{15}{10}0.75^{10}(1-0.75)^{15-10}+\binom{15}{11}0.75^{11}(1-0.75)^{15-11}$

= $3003*0.75^{10} *0.25^{5} + 1365*0.75^{11} *0.25^{4}$ = 0.3903

(d) Probability that more than 10 of the problems can be resolved today is

given by = P(X > 10)

P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

= $\binom{15}{11}0.75^{11}(1-0.75)^{15-11}+\binom{15}{12}0.75^{12}(1-0.75)^{15-12} + \binom{15}{13}0.75^{13}(1-0.75)^{15-13}+\binom{15}{14}0.75^{14}(1-0.75)^{15-14} + \binom{15}{15}0.75^{15}(1-0.75)^{15-15}$

= $1365*0.75^{11} *0.25^{4} + 455*0.75^{12} *0.25^{3}+105*0.75^{13} *0.25^{2} + 15*0.75^{14} *0.25^{1}+1*0.75^{15} *0.25^{0}$

= 0.6865

3 0

3 years ago

Which of shakina's statements regarding acceleration and velocity is false? "when the acceleration is negative, the velocity can

Mekhanik [1.2K]

Let's start by imagining a rock being thrown to the air.
Let's say that going up is the positive direction and so, going down is the negative.
The acceleration is pointing down (because of gravity) so it's always negative. While the rock is going up, it's velocity/speed is positive, but the acceleration is negative.
While the rock is going down, both acceleration and speed are negative.
This shows that the first statemente is true, but the second is false.
You can also think that if you define going DOWN as the POSITIVE direction, you can have both positive acceleration and speed, or positive acceleration and negative speed.

7 0

3 years ago

Nevermind yfgeruwijdksfgheywu

UkoKoshka [18]

Answer:

The solution will be negative.

Step-by-step explanation:

I'm not quite sure what sort of answer you're looking for though.

6 0

3 years ago

Read 2 more answers

Calculate the perimeter for the parallelogram if a= 7.6 , b= 5.9 and c= 14.6

kolezko [41]

Although the problem gives the value of b, it's really not needed.

Opposite sides of a parallelogram are congruent, so we just need to calculate: 2a + 2c = P

Plug the given values in:

2 * 7.6 + 2 * 14.6 = 44.4 units, or choice (C).

4 0

3 years ago