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Mathematics

1 answer:

kvasek [131]3 years ago

4 0

Multiplication goes first 0.8x1.5=1.2
4+1.2-3= 2.2

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10]The graph of a function is a line that passes through the coordinates (2, 11) and (8. 14).Which is an equation in terms of x

aksik [14]

We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.

1. We must use the next formula to find the slope

$m=\frac{y_2-y_1}{x_2-x_1}$

Where (x1, y1) and (x2, y2) are the points.

Now, replacing the points in the formula for the slope

$m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}$

2. We must replace the slope and one of the points in the next formula

$y-y_1=m(x-x_1)$

Now, replacing the slope and the point (2, 11)

$\begin{gathered} y-11=\frac{1}{2}(x-2) \\ \end{gathered}$

3. We must delete the parenthesis and solve the equation for y

$\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}$

ANSWER:

$y=\frac{1}{2}x+10$

8 0

11 months ago

A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d

Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 19.7, \sigma = 2$