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2 years ago

Which of the following is most likely the next step in the series?

Mathematics

1 answer:

lilavasa [31]2 years ago

3 0

Answer:

Step-by-step explanation:

Hi there!

TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.

For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.

For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.

For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.

For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.

I hope this helps!

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A data set includes 106 body temperatures of healthy adult humans having a mean of 98.9 degrees F and a standard deviation of 0.

barxatty [35]

Answer:

Step-by-step explanation:

Sample mean x bar = 98.9

Std dev s = 0.62

Sample size n = 106

Std error = $\frac{s}{\sqrt{n} } =0.0602$

Since population std deviation not known we can use t critical value.

t critical for 99% with df = 105 is 1.98

Margin of error = ±1.98(0.0602) =±0.1192

Confidence interval for sample mean = (98.9±0.1192)

=(98.781, 99.019)

2) Sample mean confidence interval suggests that sample mean is different from the population since 98.6 is not contained in the confidence interval.

3) Population interval confidence mean would be

98.6±0.1192

=(98.4808, 98.7192)

7 0

2 years ago

Find the average value of the function ()=3 on the interval [−3,3] and determine a number in this interval for which () is equal

shutvik [7]

The average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].

According to the given question.

We have a function.

F(x) = 3x^2

Since, we know that " the average value of a function is found by taking the integral of the function over the interval and dividing by the length of the interval".

Here, the given interval is [-3, 3]

Therefore, the length of the interval = 3 - (-3) = 3 + 3 = 6

Now, the average value of the given function f(x)

$=\frac{1}{6} \int\limits^3_{-3} {3x^{2} } \, dx$

$= \frac{1}{6} [\frac{x^{3} }{3} ]_{3} ^{-3}$

$= \frac{1}{6} \frac{(3)^{3} -(-3)^{3} }{3}$

$= \frac{1}{18} (27 + 27)$

= 2(27)/18

= 27/9

= 3

Hence, the average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].

Find out more information about average value of a function here:

brainly.com/question/22155666

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3 0

9 months ago

Please, Answer THANK YOU! WILL GIVE BRAINLIEST

damaskus [11]

Answer:

B 61 1/2 inches

Step-by-step explanation:

The longest flower is 8 1/2 inches

There are 2 flowers that are 7 3/4 inches

There are 5 flowers that are 7 1/2 inches

That makes 8 flowers

8 1/2 + 2(7 3/4) + 5 (7 1/2) = total length of flowers

Distribute

8 1/2 + 14 6/4 + 35 5/2

Add the whole numbers

8+14+35 = 57

Now we add the fractions

1/2 + 6/4+5/2

1/2+5/2 = 6/2 =3

6/4 = 3/2 = 1 1/2

3 + 1 1/2 = 4 1/2

Whole numbers plus fractions

57 + 4 1/2

61 1/2 inches

6 0

3 years ago

10% of what is 7???!!!

madreJ [45]

Answer:

0.7

Step-by-step explanation:

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2 years ago

PLEASE HELP I"LL GIVE BRAINLIEST!!

zysi [14]

Answer:

the slopes of f(x)and g(x)are the same

Step-by-step explanation:

4 0

3 years ago

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