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3 years ago

Find the length of the hypotenuse.

Mathematics

2 answers:

Triss [41]3 years ago

5 0

Answer:

The answer is A. Hypotenuse: 36 Square root of 2

Step-by-step explanation:

REY [17]3 years ago

4 0

Step-by-step explanation:

H² = P² + B²

in find to length hypotnuese then using the formula

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A worn out bottling machine does not properly apply caps to 5% of the bottles it fills. If you randomly select 20 bottles from t

guajiro [1.7K]

Probability would been equal to 0.9841 if we randomly select 20 bottles it fills.

<h3>What is Probability ?</h3>

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of the positive results for the experiment with 'n' outcomes can also be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Given,

n = 20

p = 0.05

Thia information gives information about binomial distribution with parameter n = 20 , p = 0.05

Let X be the number of bottles have caps that she not properly applied

X∝ B( n=20 , p= 0.05)

The p.m.f of X is

P( X=0)= ( $\frac{20}{x}$ ) ( 0.05)ˣ (1 - 0.05)²⁰ ⁻ˣ

; x = 0 , 1, 2.......20

0 < p < 1

q= 1 - p

= 0 ; otherwise

P {x ≤ 3} = P { X = 0 } + P{ x= 1 } + P { x= 2 } + P { x= 3}

P( X=0)= ( $\frac{20}{0}$ ) ( 0.05)⁰ (1 - 0.05)²⁰ ⁻⁰ = 0.3585

P( X = 1)= 0.3774

P( X= 2) = 0.1887

P( X= 3) = 0.0596

= 0.3585+ 0.3774 + 0.1887+ 0.0596

= 0.9841

To know more about Probability, Visit:

brainly.com/question/11234923

#SPJ4

6 0

1 year ago

Heidi solved the equation

ladessa [460]

Answer:

her first step was) Combining like terms= 12+2

her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x

her third step was) Adding to both sides 18= 14+18

her last step was) isolating the variable/ dividing 2 from both sides= 32/x.

Hope You Got It!

PLEASE MARK ME AS THE BRAINLIEST

7 0

3 years ago

26. Define a relation ∼ ∼ on R 2 R2 by stating that ( a , b ) ∼ ( c , d ) (a,b)∼(c,d) if and only if a 2 + b 2 ≤ c 2 + d 2 . a2+

Tresset [83]

Answer:

~ is reflexive.

~ is asymmetric.

~ is transitive.

Step-by-step explanation:

~ is reflexive:

i.e., to prove $\forall (a, b) \in \mathbb{R}^2$ , $(a, b) R(a, b)$ .

That is, every element in the domain is related to itself.

The given relation is $\sim: (a,b) \sim (c, d) \iff a^2 + b^2 \leq c^2 + d^2$

Reflexive:

$(a, b) \sim (a, b)$ since $a^2 + b^2 = a^2 + b^2$

This is true for any pair of numbers in $\mathbb{R}^2$ . So, $\sim$ is reflexive.

Symmetry:

$\sim$ is symmetry iff whenever $(a, b) \sim (c, d)$ then $(c, d) \sim (a, b)$ .

Consider the following counter - example.

Let (a, b) = (2, 3) and (c, d) = (6, 3)

$a^2 + b^2 = 2^2 + 3^2 = 4 + 9 = 13$

$c^2 + d^2 = 6^2 + 3^2 = 36 + 9 = 42$

Hence, $(a, b) \sim (c, d)$ since $a^2 + b^2 \leq c^2 + d^2$

Note that $c^2 + d^2 \nleq a^2 + b^2$

Hence, the given relation is not symmetric.

Transitive:

$\sim$ is transitive iff whenever $(a, b) \sim (c, d) \hspace{2mm} \& \hspace{2mm} (c, d) \sim (e, f)$ then $(a, b) \sim (e, f)$

To prove transitivity let us assume $(a, b) \sim (c, d)$ and $(c, d) \sim (e, f)$ .

We have to show $(a, b) \sim (e, f)$

Since $(a, b) \sim (c, d)$ we have: $a^2 + b^2 \leq c^2 + d^2$

Since $(c, d) \sim (e, f)$ we have: $c^2 + d^2 \leq e^2 + f^2$

Combining both the inequalities we get:

$a^2 + b^2 \leq c^2 + d^2 \leq e^2 + f^2$

Therefore, we get: $a^2 + b^2 \leq e^2 + f^2$

Therefore, $\sim$ is transitive.

Hence, proved.

3 0

3 years ago

What is the surface area of this design? PLEASE HELP ASAP!!

kumpel [21]

SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150

Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side, so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.

6 0

3 years ago

Rewrite 15^1/3 in radical form.

ziro4ka [17]

Answer:46

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers