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Elden [556K]
2 years ago
10

Which is the nth term test and which is the geometric series test?

Mathematics
1 answer:
Zepler [3.9K]2 years ago
3 0

Step-by-step explanation:

∑(-⅗)ⁿ is a geometric series, with a₁ = 1 and r = -⅗.

Use the nth term test for ∑n².

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The average diameter of sand dollars on a certain island is 4.00 centimeters with a standard deviation of 0.60 centimeters. If 1
blagie [28]

Answer:

0.8413 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.00 centimeters

Standard Deviation, σ = 0.60 centimeters

Sample size, n = 16

We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.60}{\sqrt{16}} = 0.15

P(diameter of sample is more than 3.85 centimeter)

P(x > 3.85)

P( x > 3.85) = P( z > \displaystyle\frac{3.85 - 4}{0.15}) = P(z > -1)

= 1 - P(z \leq -1)

Calculation the value from standard normal z table, we have,  

P(x > 3.85) = 1 -0.1587 = 0.8413

0.8413 is the probability that the  the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.

4 0
3 years ago
Twenty thousand six hundred and seven written in expanded form is​
baherus [9]

Answer:

20000+600+7

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
I don’t think I’m doing the top correctly. Could you help 7-10?
natta225 [31]

7

a trapezoid

equation for area = h(a +b) ÷ 2

so you sub that in

8(9 +21) ÷ 2 = 8 × 30 ÷ 2 = 120

so the area is 120cm

8

A trapezoid

equation for area = h(a +b) ÷ 2

so you sub that in

6(9 + 5 ) ÷ 2 = 6 × 14 ÷ 2 = 42

So the answer is 42 inches

9

A kite

equation for area = p× q ÷ 2

so you sub that in

(3+3)×(4.5+6.5) ÷ 2 = 6×11÷2 = 3

So the answer is 33 cm

sorry I can't see 10s measurements

8 0
3 years ago
the length of two triangles are 5cm and 8cm.the perimeter of the triangle is 20cm.calculate the area of the triangle?​
mote1985 [20]

Step-by-step explanation:

20+8+5=33

33×3=99

hope it helps broo

6 0
2 years ago
Mrs brown wants to cook 5 dishes on a stove with 2 burners. The times she needs to cook each dish are 40min,15min,35min,10min an
Sphinxa [80]

Answer:

75 minutes

Step-by-step explanation:

First cook 40 and 45 min dishes on separate burners. Then after 40 min put 35 min dish to be cooked on that burner. This will take 75 minutes time.

On second burner put firstly 15 min and then 10 min dish or vice versa as it doesn't matter. This second burner will take 70 minutes which is less then first one.

8 0
3 years ago
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