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Naddika [18.5K]
2 years ago
11

Determine the common difference for each arithmetic sequence 10.5, 13, 15.5, 18

Mathematics
1 answer:
andrew11 [14]2 years ago
4 0

Answer:

+2.5

Step-by-step explanation:

hope this helps branliest plzz

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A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu
iVinArrow [24]

Answer:

-0.061 < P_1 -P_2< 0.025

Step-by-step explanation:

Give data:

n_1 = 350

n_2 =250

x_1 = 23

x_2 = 21

\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066

\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084

for 95% confidence interval

\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025

z_{\alpha/2} = 1.96  from standard z- table

confidence interval for P_1  and P_2 is

\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}

(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}

-0.018 \pm 0.043

confidence interval is

-0.018 - 0.043 < P_1 -P_2

-0.061 < P_1 -P_2< 0.025

7 0
2 years ago
If cos(x) = 0.5, then what is x?
Anestetic [448]

Answer:

=60 the second option.

Step-by-step explanation:

Given the trigonometric ratio, we can find the value of the angle by simply finding the inverse of the given ratio.

If for example Cos ∅= a, then ∅=Cos⁻¹a

If Cos (x)= 0.5, then x= Cos⁻¹ 0.5

Cos⁻1 0.5=60°

The angle whose sine is 0.5 is ∅=60°

5 0
3 years ago
Read 2 more answers
Guys please last one ok
den301095 [7]
Located at -3 and 5
:)
7 0
2 years ago
Read 2 more answers
Consider the natural numbers from 1 to 25. Write the prime numbers between 1 to 25. What fractions of these natural numbers are
Len [333]

Step-by-step explanation:

Natural numbers are numbers that include positive integers.

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

Prime numbers are numbers that are greater than 1 and has only two factors

2,3,5,7,11,13,17,19,23

What Fractions of natural number are prime number?

9/25

3 0
3 years ago
The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball is
Fed [463]

Answer:

1,2, and 5

Step-by-step explanation:

4 0
2 years ago
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