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3 years ago

What is the perimeter of Quadrilateral ABCDwith vertices at A(−11, −6), B(−3, 0), C(1, 0), and D(1, −6)?

Mathematics

1 answer:

Gelneren [198K]3 years ago

4 0

Answer:

32 units

Step-by-step explanation:

the perimeter =

(1 -(-3)) +(0-(-6)) + (1 -(-11) + (√(12-4)²+6²)

= (1+3) +(0+6) +(1+11) +(√(64+36))

= 4+6+12 + 10

=32 units

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Suppose the weights of the Boxers at this club are Normally distributed with a mean of 166 pounds and a standard deviation of 5.

lesya [120]

Answer:

0.1994 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 166 pounds

Standard Deviation, σ = 5.3 pounds

Sample size, n = 20

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{5.3}{\sqrt{20}} = 1.1851$

P(sample of 20 boxers is more than 167 pounds)

$P( x > 167) = P( z > \displaystyle\frac{167 - 166}{1.1851}) = P(z > 0.8438)$

$= 1 - P(z \leq 0.8438)$

Calculation the value from standard normal z table, we have,

$P(x > 167) = 1 - 0.8006= 0.1994 = 19.94\%$

0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds

3 0

3 years ago

How does x/2-12=-14 I don’t understand where the negative comes from

goblinko [34]

Solve x by simplifying both sides of the equation & then isolating the variable x=-4 & the negative comes in from the -12

4 0

4 years ago

Se define el operador: ab = 2a + b - 1<br> Calcular: (23)  5

Art [367]

Answer:

Step-by-step explanation:

6 0

3 years ago

-9 + 8.3 (adding rational numbers) ! show how u get the answer !

Rainbow [258]

Answer:

-0.7

Step-by-step explanation:

● -9 + 8.3

Notice that 8.3 = 8 + 0.3

● -9 + (8 + 0.3)

● -9 + 8 + 0.3

-9 + 8 is -1

● (-9 + 8) + 0.3

● -1 + 0.3

-1 is (-0.3 -0.7)

● -0.3 - 0.7 +0.3

● -0.7

4 0

3 years ago

How do you do this????????????

sesenic [268]

It's -1 because if you set -3 to x-1, you get x=-2.
2(-2)+3 would get you -1.

6 0

3 years ago