4.72x10^10 Please I need help fast

Write the difference 20 – (–48) as a sum. Then simplify.

Salsk061 [2.6K]

Answer:

20-1(-48)Distribute

20 + 48 add

68

4 0

3 years ago

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A linear function models the height of a burning candle. Candle A comes out of the mold at 211 mm and is expected to be at 187

DerKrebs [107]

Answer:

(11.4 - 22.8) / (26 - 7)

-11.4 / 19 this is the rate at which it burns - the slope

h = (-11.4/19)t + b

22.8 = (-11.4/19)7 + b

22.8 = (-79.8/19) + b

22.8 = -4.2 + b

27 = b

h = (-11.4/19)t + 27

Substitute 15 for t to determine the height of the candle.

6 0

2 years ago

The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit

Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b) We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b. If the length of pregnancy is in the lowest a%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

8 0

3 years ago

How much energy in joules can the solar panel produce each day if solar cells were 100% efficient and generate 1000 watts of pow

notsponge [240]

Answer:

The solar panel produce 6.48 × 10⁶ J of energy each day.

Step-by-step explanation:

If the solar cells were 100% efficient and generate 1000 watts of power per square meter

The power generated per square meter will be

$\frac{100}{100} \times 1000 watts/m^{2}$

= 1000 watts/m²

This is the power that would be generated per square meter if the solar cells were 100% efficient.

Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be

$\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}$

= 300 watts

This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%

Now, to determine the energy in joules (J) that the solar panel produce each day

We can determine the energy from the formula

Energy = Power × time

From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is

Time = (6 × 60 × 60) secs = 21600 secs

Hence,

Energy = 300 watts × 21600 secs

Energy = 6480000 Joules

Energy = 6.48 × 10⁶ J

8 0

3 years ago

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Help? With all? Plzzz

Margaret [11]

Cuz if so, then you just move the whole x term to the right side and divide all the terms on the right side by the coefficient of y
for ex...
3) 4x+4y=16
4y=16-4x (or -4x+16)
y=4-x or -x+4

7 0

3 years ago