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OleMash [197]
2 years ago
14

A 6 foot person 15 feet from a streetlight casts a 15 foot shadow.Two similar triangles are formed.One triangle is formed by the

person and the shadow that the person casts.A second triangle is formed by the streetlight and the ground from the base of the streetlight to the end of the shadow
Mathematics
1 answer:
kipiarov [429]2 years ago
6 0
What's the question?
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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
Complete the derivation of the formula for a cylinder
viva [34]

Answer:

2r(2r)

R

Pi/4

Pi times r cubed

Step-by-step explanation:

Believe it or leave it

4 0
3 years ago
A shipping company charges based on calculations of the volume of a rectangular box and the sum of the dimensions of the box. A
Allushta [10]

Answer:

A shipping company charges based on calculations of the volume of a rectangular box and the sum of the dimensions of the box. A square rectangular...

Step-by-step explanation:

7 0
3 years ago
7th grade math help me please :(.
Anettt [7]
6a: 11x+9
6b: 5y+14
6c: -3c-10
6d: 15x+10y
6e: -2n+13n
6f: 5w-5z
6g: 19x+8y+9
6h: 11a+4b-5

hope this helps and is correct!!
8 0
3 years ago
Find the slope of the line passing through the points (-4,7) and (2,-9)
Ira Lisetskai [31]

Answer: The slope is -8/3

Step-by-step explanation: Use the slope formula y2-y1/x2-x1

so -9-7/2-(-4) = -16/6 which can be divided by 2 to get -8/3

7 0
2 years ago
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