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sineoko [7]
2 years ago
6

One ruler and 2 pencils cost £1. 40 and one ruler and 6 pencils cost £3. 20 what is the cost of the ruler and pencil?

Mathematics
1 answer:
Olegator [25]2 years ago
4 0

Answer:

ruler: £0.50

pencil: £0.45

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An article in Medicine and Science in Sports and Exercise "Maximal Leg-Strength Training Improves Cycling Economy in Previously
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The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

299.4\leq\mu\leq 330.6

Step-by-step explanation:

We have to construct a 99% confidence interval for the mean.

A sample of n=7 males is taken. We know the sample mean = 315 watts and the sample standard deviation = 16 watts.

For a 99% confidence interval, the value of z is z=2.58.

We can calculate the confidence interval as:

M-z\sigma/\sqrt{n}\leq\mu\leq M+z\sigma/\sqrt{n}\\\\315-2.58*16/\sqrt{7}\leq\mu\leq 315+2.58*16/\sqrt{7}\\\\315-15.6\leq \mu\leq 315+15.6\\\\299.4\leq\mu\leq 330.6

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

5 0
3 years ago
Which of the following statements is correct Athe product of 3/4 and 7/8 is less than 7/8 B the product of 1/3 and 9/10 is less
dedylja [7]

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

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Which graph represents the line that has a -intercept of 3 and goes through the point (2, 5) ?
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Step-by-step explanation:

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Read 2 more answers
A pedestrian walks 7.4 kilometers west
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Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$

3 0
2 years ago
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