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3 years ago

Please help me :((((((((

Mathematics

1 answer:

romanna [79]3 years ago

7 0

Answer:

Fraction Form: 1/10

Step-by-step explanation:

Decimal Form: 0.1

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A person's blood pressure is monitored by taking 4 readings daily. The probability distribution of his reading had a mean of 13

ss7ja [257]

Answer:

a) Mean = 133, Standard deviation = 2.5

b) Normal distribution

c) 0.0026

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 4

Mean = 133

Standard deviation = 5

a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.

The sampling distribution has a mean equal to the population mean

$\bar{x} = \mu = 133$

The standard deviation of the sampling distribution is given by:

$\sigma_s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{5}{\sqrt{4}} = 2.5$

b) Shape of the sampling distribution

Central limit theorem:

When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.

Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.

c) P(sample mean exceeds 140)

$P( x > 140) = P( z > \displaystyle\frac{140 - 133}{2.5}) = P(z > 2.8)$

$= 1 - P(z \leq 2.8)$

Calculation the value from standard normal z table, we have,

$P(x > 140) = 1 - 0.9974 = 0.0026$

0.0026 is the probability that the sample mean exceeds 140.

6 0

3 years ago

Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 9, with the indicated cross sections taken perp

labwork [276]

x ^2 + y ^2 = 9 => y = y(x) = ± √(9 - x ^2)

Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is

√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)

The area of each square section is the square of this length,

(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2

We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of

$\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}$

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3 years ago

What are the domain and range of the function f(x)=3 to the power of x +5

emmasim [6.3K]

Answer:

Domain: (-∞,∞)

Range: (5,∞)

Step-by-step explanation:

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3 years ago

Are angles m & n parallel???

Nostrana [21]

M and N are not angles but they are lines. If we are talking about lines, yes the two of them are parallel as they do not intersect.

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3 years ago

Classify the following triangle. Check all that apply

Alinara [238K]

Answer:

I think its B and E

Step-by-step explanation:

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3 years ago