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3 years ago

1. A number is drawn from the set {1,2,3,4,...,20} Find the probability that

Mathematics

2 answers:

Schach [20]3 years ago

8 0

Answer:

1a. 1/2 3e. 4/15

1b. 1/10 3f. 1

2c.

2d.

Step-by-step explanation:

just do it that way

Aleks [24]3 years ago

6 0

Answer:

1.A. The number chosen is odd number

2.D. Drawing a number card

3.F. The ball is not white

Step-by-step explanation:

SANA NAKATULONG PO ITO

CORRECT ME IF I WRONG

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1400 divided by 32 Banana anan

Reptile [31]

Answer:

43.75

Step-by-step explanation:

lol look it up bruh

5 0

3 years ago

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetr

Sonja [21]

Answer:

Step-by-step explanation:

Given that;

Compressed Soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16

Intermediate Soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26

Compressed soil intermediate soil

Mean 2.907 3.286

SD 0.1414 0.2377

Here we have,

$\bar x_1 =3.286\\ \bar x_2 =2.907\\s_1 =0.2377\\ s_2 =0.1414\\n_1=19\\n_2=20$

The pooled Standard deviation

$s_p=\sqrt{\frac{(n_1-1)s_1^2(n_2-1)s_2^2}{n_1+n_2-2} } \\\\=0.1943$

So standard error for difference in population mean is

$s_{\bar x_1 - \bar x_2} = \sqrt{\frac{s_p^2}{n_1}+\frac{s_p^2}{n_2} } \\\\=0.0623$

by inputting the values we get 0.0623

Degree of freedom for t is

df = 19 + 20 - 2 = 37,

so t-critical value is 2.715.

So required confidence interval for

$\mu_{1} - \mu_{2}$ will be

$( \bar x_1 - \bar x_2) \pm t_{critical}*s_{\bar x_1 - \bar x_2}$

$=0.3793 \pm2.715*0.063\\\\=0.3793\pm0.1690$

So required confidence interval is (0.2103 , 0.5483).

6 0

3 years ago

Find the length of the missing side. The triangle is not drawn to scale.

suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

$a^2+15^2=17^2$

Simplify exponents:

$a^2+225=289$

Isolate the variable. Subtract 225 from both sides:

$a^2+225-225=289-225\\a^2=64$

Find the square root of both sides:

$\sqrt{a^2}=\sqrt{64}\\ a=8$

The missing leg length is 8.

7 0

3 years ago

The sigh of the product of two integers with the same sign is positive. What is the sigh of the product of three integers with t

tatyana61 [14]

Answer:

There are two possibilities

a) If the integers are positives the product will be positive.

b) If the integers are negatives the product will be negative.

Step-by-step explanation:

We need to use rule of signs to explain the answers

for answer "a"

We have (+)(+)( + ) equals positive

for answer "b"

We have (-)(-) = + then this multiply by the last integer which has negative sign

(+)(-) = -

6 0

4 years ago

A manufacturing facility is responsible for producing two components that are produced at states 1 (poor), 2 (below average), 3

garik1379 [7]

Answer:

a) i) P( final product is acceptable ) = 3/5

ii) P ( final product not acceptable ) = 2/5

B) P ( final product is acceptable | X =2 ) = 2/5

C) P ( Y = 3 | Final product is acceptable ) = 2/5

Step-by-step explanation:

Given data :

5 states : 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent)

Number of components produced = 2

X ( component 1 ) ∴ P(X) = 1/5

Y ( component 2 ) ∴ P(Y) = 1/5

Aim : Sum of Final product needs to be ≥ 6

<u>A) Probability of a final product been acceptable and also unacceptable</u>

P( final product is acceptable ) ; P(X + Y ≥ 6 )

= 1/5 ∑ P( Y ≥ 6 - x )

= 1/5 ( P( Y ≥ 5 ) + P( Y ≥ 4 ) + P( Y ≥ 3 ) + P( Y ≥ 2 ) + P( Y ≥ 1 )

= 1/5 ( 1/5 + 2/5 + 3/5 +4/5 + 1 )

= 3/5

P ( final product not acceptable ) = 1 - 3/5 = 2/5

B) P ( final product is acceptable | X =2 )

∴ P ( Y ≥ 4 )

= 2/5

C) P ( Y = 3 | Final product is acceptable )

∴ P ( X ≥ 3 ) ≠ P( Y ≥ 3 ) ( because they are not independent )

= 1 - 3/5 = 2/5.

8 0

3 years ago