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astra-53 [7]
2 years ago
11

Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared t

o only 9.9% of the females. Assume that the probability of selecting a male is the same as selecting a female. If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:
Mathematics
1 answer:
GuDViN [60]2 years ago
3 0

Answer:

There is a 45.05% probability that the selected person is a right-handed female.

Step-by-step explanation:

We have these following probabilities

A 50% probability that a person is a male

A 50% probability that a person is a female.

A 12.6% probability that a male is left-handed.

A 9.9% probability that a female is left-handed.

If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:

50% are female.

9.9% of the females are left-handed, so 100-9.9 = 90.1% of the females are right handed.

So

P = 0.5*0.901 = 0.4505

There is a 45.05% probability that the selected person is a right-handed female.

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Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are par
nikklg [1K]

Answer:

They are parallel because they have the same slope of −2.

Step-by-step explanation:

got it right on the test, it is correct

6 0
2 years ago
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Find the sum of the first 63 terms of –19, -13, -7 …
boyakko [2]

The Given Sequence is an Arithmetic Sequence with First term = -19

⇒ a = -19

Second term is -13

We know that Common difference is Difference of second term and first term.

⇒ Common Difference (d) = -13 + 19 = 6

We know that Sum of n terms is given by : S_n = \frac{n}{2}(2a + (n - 1)d)

Given n = 63 and we found a = -19 and d = 6

\implies S_6_3 = \frac{63}{2}(2(-19) + (63 - 1)6)

\implies S_6_3 = \frac{63}{2}(-38 + (62)6)

\implies S_6_3 = \frac{63}{2}(-38 + 372)

\implies S_6_3 = \frac{63}{2}(-38 + 372)

\implies S_6_3 = \frac{63}{2}(334)

\implies S_6_3 = {63}(167) = 10521

The Sum of First 63 terms is 10521

4 0
2 years ago
If AD=20 and AC=3x+4, find the value of x. Then find AC and DC.<br><br> I don't understand.
Fofino [41]
<span>Using the information we have 3x+4=40 Do the same to each side of the equation to eliminate for x. 3x+4=40 Minus 4 from each side 3x=40-4 3x=36 Divide 3 from each side x=36/3 x=12 AC=3x+4 insert the value of x 3(12)+4=40 AC=40 AD=20</span>
5 0
2 years ago
Assume the blood pressures of 10 people were measured before and after sleeping for the night. What is the corresponding critica
NeX [460]

Answer:

For the critical value we need to calculate the degrees of freedom given by:

df = n-1= 10-1=9

And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:

|t_{crit}| =1.833

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=test value with right arm , y = test value with left arm  

The system of hypothesis for this case are:  

Null hypothesis: \mu_y- \mu_x = 0  

Alternative hypothesis: \mu_y -\mu_x \neq 0  

The first step is calculate the difference d_i=y_i-x_i

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{361}{5}  

The third step would be calculate the standard deviation for the differences, and we got:  

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}  

The 4 step is calculate the statistic given by :  

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}  

For the critical value we need to calculate the degrees of freedom given by:

df = n-1= 10-1=9

And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:

|t_{crit}| =1.833

5 0
2 years ago
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Murljashka [212]
First, let's subtract the whole pool by the water currently in to find the water needed to fill it:
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8 0
2 years ago
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