<span>With the mean of 40k and standard deviation of 5k, we need to find P(x>=30k). P((30k-40k)/5k) = P(z<-2) = 1-0.0228 which is equal to 0.9772. There is a 97.72% chances that the starting salary will be at least 30k.</span>
Answer:
Step-by-step explanation:
Use the coordinates of the given points to find the slope.
difference in y-coordinates = -3 - 6 = -9
difference in x-coordinates = 2 - (-1) = 3
slope = -9/3 = -3
By critically observing the graph, we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
In conclusion, there are four (4) points of intersection on this graph.
Read more on graphs here: brainly.com/question/25875680
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Answer: 36.67 grams of water is added.
Step-by-step explanation:
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
so, it becomes,
Hence, 36.67 grams of water is added.
Answer:
H is correct
Step-by-step explanation:
(243)^1/3
(3^3 × 3^2)^(1/3)
(3^3)^1/3 × (3^2)^1/3
3×(9)^1/3
