Eli, Freda and Geoff were given £800 to share in the ratio of their ages.

Details provided:
Confidence level = 90%
Mean = 71 beats per minute
Standard deviation = 6 beats per minute

The formula for margin of error is z * δ / √n.

Where δ represents the population standard deviation and n is the sample size; z denotes the corresponding z-value.

For a 90% confidence level, the z-value is 1.645.

Thus, the margin of error is calculated as 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 * 0.671 = 1.104.

Answer:

50

Step-by-step clarification:

The equation that represents the total cost is in the format of a linear equation y = mx + c

Here, m signifies the slope of the line

c indicates the y-intercept, showing where the line intersects the y-axis

When the equation y = 150x + 50 is plotted, it will form a linear graph where the y-intercept corresponds to 50, as observed in the standard form of a linear equation.

The telescope’s cost is $91

4.55 divided by 5% (0.05) equals 91.

Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.:

Sample size:

Mean:

Standard deviation =

Let x represent a binomial variable.

Referencing the standard normal distribution table,

(1)

Z score for normal distribution:-

For x=4

For x=3

Thus, from (1)

Consequently, the likelihood of four students being absent =

Answer:

Step-by-step explanation:

The probability distribution for the random variable X is provided.

X 4 5 6 7 Total

P 0.2 0.4 0.3 0.1 1

x*p 0.8 2 1.8 0.7 5.3

x^2*p 3.2 10 10.8 4.9 28.9

a) The expected value E(X), representing the mean of X, equates to 5.3.

Standard deviation is the square root of the variance, which amounts to 0.9.

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b) For the mean of the sample, we find:

Mean = 5.3

Variance = var(x)/n =

c)