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11Alexandr11 [23.1K]
2 years ago
7

Find the area of the quadrilateral in the figure.

Mathematics
1 answer:
Fantom [35]2 years ago
3 0
B would be your answer                                                       
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A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires sub
lianna [129]

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t=   11/ 105.25 √1/5+ 1/10

t=  11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

5 0
3 years ago
Find BC if B(8, -7) and C(-4, -2).
polet [3.4K]
4, -8

add the x's and add the y's
4 0
3 years ago
Plz tell the answers in the correct order​
Nimfa-mama [501]

Answer:

a) 120°

Step-by-step explanation:

i think this is the right answer

7 0
3 years ago
Name two decimals that are equivalent to 7.75
Tatiana [17]
7.750 and 7.7500 are 2 equivalent fractions.

4 0
3 years ago
A fitness center runs a contest for customers who enroll in its annual membership plan. The customers are allowed to draw a coup
krek1111 [17]

1. 20/35(30)=17.142

2. 5/35(60)=17.142

3. 10/35(60)=17.142



6 0
3 years ago
Read 2 more answers
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