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padilas [110]
2 years ago
5

Need help ASAP thanks

Mathematics
1 answer:
Otrada [13]2 years ago
7 0

Answer:

area of sector= teete ×πr²

360

<u>4</u><u>0</u><u>°</u>×<u>2</u><u>2</u>×2×2

360 7

<u>4</u><u>0</u><u>×</u><u>8</u><u>8</u>

2520

<u>3</u><u>5</u><u>2</u><u>0</u>

2520

=1.397°

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ziro4ka [17]
The z-score is given by:
z=(x-μ)/σ
but
x-μ=52
thus
z=52/√84681
z=0.1787
Thus:
P(X≤52)=0.9633
7 0
2 years ago
Read 2 more answers
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
Wilbur spends 2/3 of his income, share 1/12, and saves the rest. What part of his income does he save? Give the answer in simple
scoundrel [369]

Answer:

<em><u>1/4 of his income.</u></em>

Step-by-step explanation:

If Wilbur spends 2/3 of his income, 1/3 or 4/12 of it is left for other purposes (It is easier if everything has a common denominator of 12). And if he shares 1/12 of that remaining amount, there is 3/12 left. And when we simplify 3/12, we get <u>1/4</u>.

*Mark me brainliest!*

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3 years ago
HELP DUE IN 10 MINS!<br><br> x =??
Black_prince [1.1K]

Answer:

x = 11

Step-by-step explanation:

Using Secants ad Segments Theorem we can say;

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7x + 49 = (21) (6)

7x + 49 = 126

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Hope this helps!

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2 years ago
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Answer:

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