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Bogdan [553]
2 years ago
13

In a study of reaction times to a specific stimulus, a psychologist recorded these data (in seconds). Find the variance and stan

dard deviation. Use a TI-83 Plus/TI-84 Plus calculator and round the answers to at least two decimal places.
Mathematics
1 answer:
victus00 [196]2 years ago
8 0

Answer:

s² = 0.7965

s = 0.8925

Step-by-step explanation:

Given the data :

Class limit __ midpoint(x) ___ Frequency

2.1 - 2.7 ______2.4 ________13

2.8 - 3.4 ______3.2 _______ 14

3.5 - 4.1 ______ 3.8 _______ 10

4.2 - 4.8 ______4.5 _______ 6

4.9 - 5.5______ 5.2 ________2

5.6 - 6.2______ 5.9 ________ 1

The midpoint was calculated thus :

(Upper limit + lower limit) / 2

Using a graphing calculator :

The sample variance, s² = 0.7965

The sample standard deviation, s = 0.8925

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The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)
Ann [662]

Answer:

h=30

Step-by-step explanation:

Volume of a cone=1540cm^{3}, Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is \frac{1}{3} \pi r^{2} h to find the height of a cone.

1540cm^{3} =\frac{1}{3}\pi r^{2}  h

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

1540cm^{3}=\frac{1}{3}*\frac{22}{7}  7^{2}h

1540cm^{3} =\frac{154}{3}h

Move \frac{154}{3} to another side. 1540 divided by  \frac{154}{3} to calculate what is the value of h, h is the height of a cone. Like this.

\frac{1540cm^{3} }{\frac{154}{3} } =h

30=h

Rearrange the h.

h=30

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

4 0
3 years ago
Read 2 more answers
Which equation represents the same line as the points in the table
vodomira [7]

Answer:

y=\frac{-3}{4} x+2

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

m=\frac{y2-y1}{x2-x1}

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

m=\frac{2-5}{0--4}

Simplify:

m=\frac{-3}{4}

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

y=\frac{-3}{4} x+2

7 0
3 years ago
Read 2 more answers
Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. of the 80 male students who wer
Aloiza [94]
Total number of students surveyed = 200
Number of male students = 80
Number of female students = 200 - 80 = 120

Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.

Since, <span>eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.

Let the number expected of brown eyed females be x, then x / 120 = 0.75.

Thus, x = 120(0.75) = 90.

Therefore, the number female students surveyed expected to be brown eyed is 90.</span>
7 0
3 years ago
Question 7<br> What is the median of the following distribution? -<br> (6,4,8,3,72,8,3,3,3)
GuDViN [60]

Answer:

72

Step-by-step explanation:

the number in the middle

8 0
3 years ago
The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-
Serga [27]

Answer:

P(-2,4)

Q(2,5)

R(-1,8)

Step-by-step explanation:

The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.

7 0
2 years ago
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