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3 years ago

Literal equationsHave to solve for the variable h.Math Problem-2hij = kl

2 answers:

7 0

Move everything that isn't what you are solving for to the denominator of the other side

$2hij = kl \\ h = \frac{kl}{2ij}$

Alexeev081 [22]3 years ago

6 0

Answer:

h=kl/2ij

Step-by-step explanation:

The multiplication order doesn't matter so just divide everything and leave h there :)

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Solve and write solution in interval notation 4(x+1)+3>x-5

soldi70 [24.7K]

Answer:

$\large\boxed{x\in\left(-\dfrac{13}{3},\ \infty\right)}$

Step-by-step explanation:

$4(x+1)+4>x-5\qquad\text{use the distributive property}\\\\4x+4+4>x-5\\\\4x+8>x-5\qquad\text{subtract 8 from both sides}\\\\4x>x-13\qquad\text{subtract}\ x\ \text{from both sides}\\\\3x>-13\qquad\text{divide both sides by 3}\\\\x>-\dfrac{13}{3}\to x\in\left(-\dfrac{13}{3},\ \infty\right)$

3 0

3 years ago

Pleaseee help me quicly

leonid [27]

Answer:

Q.4=2x^2

Q.5=6l^2

may be this is helpful.

8 0

3 years ago

A heat pump cycle whose coefficient of performance is 2.5 delivers energy by heat transfer to a dwelling at a rate of 20 kW.

jasenka [17]

Answer:

Net power = 20kW

B.) $128

Step-by-step explanation:

Given that :

Coefficient of performance = 2.5

Rate = 20kW

The net power required to operate the heat pump :

Energy delivery rate / Coefficient of performance

= 20kW / 2.5

= 8kW

B.) Given that electricity cost equals $0.08 per kW

If pump operates for 200 hours

Total energy used in kWhr :

8kW * 200= 1600kW

Cost per kW = $0.08

1600 * 0.08 = $128

3 0

3 years ago

The largest orange in a bag has the circumference of 9 5/8 inches. The smallest orange has a circumference

Marysya12 [62]

Answer:

1.81 inches

Step-by-step explanation:

Given that,

The circumference of the largest orange in a bag is $9\dfrac{5}{8}\ \text{inches}$ and that of smallest orange is $7\dfrac{13}{16}\ \text{inches}$ .

Difference = largest orange - smallest orange

= $9\dfrac{5}{8}-7\dfrac{13}{16}\\\\=\dfrac{77}{8}-\dfrac{125}{16}\\\\=\dfrac{29}{16}\\\\=1.81\ \text{inches}$

So, difference of the circumferences of the smallest orange and the largest orange is 1.81 inches

4 0

3 years ago

For which of the following counts would a binomial probability model be reasonable? a. The number of traffic tickets written by

timama [110]

Answer:

c. The number of 7's in a randomly selected set of five random digits from a table of random digits.

True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 assuming numbers (0,1,2,3,4,5,6,7,8,9) so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n, p)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The conditions to apply this distribution is that we have the parameters fixed n and p.

Let's analyze one by one the possible solutions:

a. The number of traffic tickets written by each police officer in a large city during one month.

False, the number of traffic tickets written by each police is not a fixed amount always, so then the value of n change and we can't apply a binomial model for this case.

b. The number of hearts in a hand of five cards dealt from a standard deck of 52 cards that has been thoroughly shuffled.

False, not all the hands of size 5 are equal and since we can't ensure this condition then the binomial model not apply for this case

c. The number of 7's in a randomly selected set of five random digits from a table of random digits.

True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.

d. The number of phone calls received in a one-hour period.

False, the number of phone calls change by the hour and is not always fixed so then we don't have a valu for n, and the binomial model not applies for this case.

e. All of the above.

False option C is correct.

5 0

3 years ago