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2 years ago

HELP TEST EMERGENCY !!!

Mathematics

1 answer:

stiks02 [169]2 years ago

4 0

Answer:

DG = 17

Step-by-step explanation:

DG and EF are similar so sides are same.

2x - 7 = x + 5

2x - x = 5 + 7

x = 12

So DG = 2x - 7

= 2(12) - 7

= 24 - 7

= 17

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Ming has two job offers, in different states. The first job (a marketing manager) earns a salary of $51,000 and there is no stat

elixir [45]

Answer:

A. 1

Step-by-step explanation:

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3 years ago

Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?

Zielflug [23.3K]

Answer:

$B = 134^o$

Step-by-step explanation:

$n = 6$ --- sides

$A = 170^o$

$C = 107^o$

$D = 102^o$

$E = 117^o$

$F = 90^o$

Required

The measure of B

The interior angles of a polygon is:

$Angles = (n - 2) * 180$

So, we have:

$Angles = (6 - 2) * 180$

$Angles = 4 * 180$

$Angles = 720^o$

The measure of B is calculated using:

$A + B + C + D + E + F = 720$

Substitute known values

$107 + B + 170 + 102 + 117 + 90 = 720$

Collect like terms

$B + 107 + 170 + 102 + 117 + 90 = 720$

$B + 586 = 720$

Collect like terms

$B = 720 - 586$

$B = 134^o$

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3 years ago

Which property is shown in the following statement? (46 + 17) + 3 = 46 + (17 + 3) identity property of addition associative prop

maksim [4K]

Answer: the associative property of addition

Step-by-step explanation: when adding three or more terms, you can combine the middle terms with either the first term or the last term and as you add the results, the sum will be the same either way.

3 0

3 years ago

Read 2 more answers

Find the mean absolute deviation for the set of data. Number of sibblings 2,5,8,9,7/6,3,5,1,4,

vova2212 [387]

the mean of 2,5,8,9,7/6,3,5,1,4, is 4.2

and the mean of 2,5,8,9,76,3,5,1,4, is 5

hope this helps have an amazing day and be safe

8 0

3 years ago

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08

kvv77 [185]

Answer:

a) 44.93% probability that there are no surface flaws in an auto's interior

b) 0.03% probability that none of the 10 cars has any surface flaws

c) 0.44% probability that at most 1 car has any surface flaws

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the binomial probability distributions.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Poisson distribution with a mean of 0.08 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.

So $\mu = 10*0.08 = 0.8$

(a) What is the probability that there are no surface flaws in an auto's interior?

Single car, so Poisson distribution. This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.8}*(0.8)^{0}}{(0)!} = 0.4493$

44.93% probability that there are no surface flaws in an auto's interior

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?

For each car, there is a $p = 0.4493$ probability of having no surface flaws. 10 cars, so n = 10. This is P(X = 10), binomial, since there are multiple cars and each of them has the same probability of not having a surface defect.