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grigory [225]
3 years ago
15

20 points if you answer

Mathematics
2 answers:
yulyashka [42]3 years ago
6 0

Answer:

The second stove had a higher temperature when the stoves were turned off.

The first stove cooled down at a faster rate.

Step-by-step explanation:

first stove: T(t) = 180 - 2.55t can also be written as T(t) = -2.55t + 180

(180 is the y-intercept; -2.55 is the slope)

second stove = T(t) = mt + 200

(0,200) (40,130)

\frac{200 - 130}{0 - 40} = \frac{60}{-40} = \frac{3}{-2} = -1.5

T(t) = -1.5t + 200

victus00 [196]3 years ago
4 0

Answer:

he is correct

Step-by-step explanation:

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A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o
natita [175]

Answer:

x\geq 29,000  and  x\leq 41,000

Step-by-step explanation:

Let

x -----> the altitude of a commercial aircraft

we know that

The expression " A minimum altitude of 29,000 feet" is equal to

x\geq 29,000

All real numbers greater than or equal to 29,000 ft

The expression " A maximum altitude of 41,000 feet" is equal to

x\leq 41,000

All real numbers less than or equal to 41,000 ft

therefore

The compound inequality is equal to

x\geq 29,000  and  x\leq 41,000

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval ------> [29,000,41,000]

5 0
3 years ago
Triangle ABC has side lengths 8 cm, 17 cm, and x cm. The side length of x is shorter than the longest side. What does the value
snow_tiger [21]

Answer:

8 cm and 15 cm

8 0
3 years ago
A car can travel 393.3 miles on 28.1 gallons of gas. How far can it travel on 16.7 gallons?
grigory [225]
In the early months of some year one site added 0.4 million new accounts every day, At this rate , how many days would be needed to add 24 million new accounts?
8 0
3 years ago
PERÍMETRO: Encuentra las dimensiones de un rectángulo con perímetro igual a 563 pulgadas, si su largo es 6 pulgadas menos que 4
Orlov [11]

Answer: 4x - 6 = 563

Suma 6 a ambos lados para aislar la variante 4x.

4x - 6 = 563

+6. +6

4x = 569

Divide ambos lados por 4

4x/4 = 569/4

X = 142.5

Step-by-step explanation:

4 0
3 years ago
Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0
3 years ago
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