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3 years ago

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

Mathematics

1 answer:

Ede4ka [16]3 years ago

7 0

Answer:

3.1 in

Step-by-step explanation:

a² + b² =c²

12=c

11.6=b

c²- b² = a²

12²-11.6²= 9.44

√9.44 = 3.07 Rounded = 3.1 in

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WORTH 30 POINTS PLEASE HELP

Vlad1618 [11]

Group A:
1 dot at 9: 1 x 9 = 9
7 dots at 10: 7 x 10 = 70
8 dots at 15: 8 x 15 = 120
8 dots at 17: 8 x 17 = 136
6 dots at 19: 6 x 19 = 114

Mean: (9+70+120+136+114) / (1+7+8+8+6) = 449/30 = 14.97

Group B:
6 dots at 10: 6 x 10 = 60
5 dots at 14: 5 x 14 = 70
6 dots at 18: 6 x 18 = 108
5 dots at 25: 5 x 25 = 125
4 dots at 28: 4 x 28 = 112
4 dots at 29: 4 x 29 = 116

mean: (60+70+108+125+112+116) / (6+5+6+5+4+4) = 591 / 30 = 19.70

The group that has a lower mean age of painting students is Group A. Its mean is 14.97 or 15 years of age.

8 0

3 years ago

Read 2 more answers

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 11.4

GREYUIT [131]

Answer:

The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645*\frac{2}{\sqrt{375}} = 0.2$

The lower end of the interval is the sample mean subtracted by M. So it is 11.4 - 0.2 = 11.2 reproductions.

The upper end of the interval is the sample mean added to M. So it is 11.4 + 0.2 = 11.6 reproductions.

The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.

5 0

3 years ago

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What number is 4 less than 2?

Allisa [31]

A number that is 4 less than 2 is -2

7 0

3 years ago

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Leon graph y=12- 0.05 x to represent the number of gallons of gas left in his car after driving x miles.

mario62 [17]

Answer:

Step-by-step explanation:

Range of the graph is the ALLOWED y-values. The y-axis is number of gallons left in tank. So, it cannot be NEGATIVE number of gallons, so 0 is the lower limit of the range.

As we can see from the axis of the graph, we see where the line cuts the y-axis, that is the upper limit of number of gallons he starts off with. The y-intercept (y-axis cutting point) is 12.

So we can say that the range is 0 ≤ y ≤ 12

Correct answer is B

5 0

3 years ago

What is the equation for a circle with a center at (5,-2) and passes through (4,0)?

Kisachek [45]

Step-by-step explanation:

since you said equation I'm assuming it's in terms of x and y Just as a general equation

since the centre of the circle isn't at 0, you have to take that into account using the formula above. solve for the radius of the circle by substituting (4,0) into the formula and get your r value to replace in the original formula

8 0

3 years ago