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viva [34]
3 years ago
5

Select all of the possible values of r for an infinite series that converges.

Mathematics
2 answers:
olga2289 [7]3 years ago
8 0

Answer:

its b and d

Step-by-step explanation:

next answer is c

Naddik [55]3 years ago
7 0
An infinite series converges when abs(r) < 1.

Therefore, an infinite series converges for r = -2/3 and 3/4
You might be interested in
How do you determine if polygons are similar?
Vikentia [17]

Answer:

  a) corresponding angles of similar polygons are congruent

  b) corresponding sides of similar polygons are proportional

  c) a triangle is a polygon

Step-by-step explanation:

By <em>definition</em>, similar polygons have congruent corresponding angles and proportional corresponding sides.

A triangle is a polygon, so two triangles will be similar if they have congruent corresponding angles and proportional corresponding sides.

___

For an n-sided polygon, one only needs to show the conditions are met for n-1 angles and sides. Those will determine the measures of the final angle/side.

8 0
4 years ago
PLEASE HELPP!! 8th grade
nika2105 [10]

Answer:

<h3><u><em>i think</em></u> its 11.7</h3>

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A researcher compares the effectiveness of two different instructional methods for teaching physiology. A sample of 178 students
xxTIMURxx [149]

Answer:

critical value = 1.645

The 90% confidence interval = ( -22.62, -17.58)

Step-by-step explanation:

Given that:

the sample  size n_1 = 178

the sample size n_2 = 226

the sample mean \overline x_1 = 54.4

the sample mean \overline x_2 = 74.5

population standard deviation \sigma_1 = 18.58

population standard deviation \sigma_2 = 9.52

level of significance ∝ = 1 - 0.90 = 0.10

The critical value for Z_{\alpha/2} = Z _{0.10/2} = Z_{0.005} is 1.645

For the construction of our confidence interval, we use 90% since that is used to find the critical value.

∴

The margin of error = Z \times\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}

1.645 \times\sqrt{\dfrac{18.58^2}{178} + \dfrac{9.52^2}{226}}

1.645 \times\sqrt{\dfrac{345.2164}{178} + \dfrac{90.6304}{226}}

1.645 \times\sqrt{2.34042}

\simeq 2.52

The lower limit = ( \overline x_1 - \overline x_2) - (M.O.E)

= ( 54.4-74.5) - (2.52)

= -20.1 - 2.52

= -22.62

The upper limit = ( \overline x_1 - \overline x_2) + (M.O.E)

= ( 54.4-74.5) + (2.52)

= -20.1 + 2.52

= -17.58

The 90% confidence interval = ( -22.62, -17.58)

6 0
3 years ago
What is the sqrt of (45n^5)?
djyliett [7]
3n^2 sqrt 5n

hope that helped (:
4 0
3 years ago
Which of the polynomial equations cannot be solved using the quadratic formula?
xxMikexx [17]

Answer:

The polynomial equation that cannot be solved using the quadratic formula: Option2: x^2-2x^3-5=0

Step-by-step explanation:

First of all we have to learn what a quadratic polynomial is.

A polynomial or equation of degree 2 is called a quadratic equation. Quadratic formula is used to solve quadratic equations.

The quadratic equation is of the form:

ax^2+bx+c = 0

From the given options, only option 2 doesn't have degree 2 so it is not a quadratic polynomial.

Hence,

The polynomial equation that cannot be solved using the quadratic formula: Option2: x^2-2x^3-5=0

8 0
3 years ago
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