NEED HELP ASAP PLEASE WITH #7!!

Mathematics

1 answer:

AnnZ [28]3 years ago

6 0

Answer:

The answer to your question is: The second option

Step-by-step explanation:

Points A (3 , 7) B (5, 11)

slope = m = (y2 - y1) / (x2 - x1)

m = (11 - 7) / (5 - 3)

m = 4 / 2 = 2

equation if the line

(y - y1) = m(x - x1)

(y - 7) = 2(x - 3) Answer

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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 56 b

nydimaria [60]

Answer:

98.1% chance of being accepted

Step-by-step explanation:

Given:

sample size,n=56

acceptance condition= at most 2 batteries do not meet specifications

shipment size=7000

battery percentage in shipment that do not meet specification= 1%

Applying binomial distribution

In this formula, a is the acceptable number of defectives;

n is the sample size;

p is the fraction of defectives in the population.

Now putting the value

a= 2

n=56

p=0.01

$\frac{56!}{0!\left(56-0\right)!}\left(0.01\right)^0\:\left(1-0.01\right)^{\left(56-0\right)} + \frac{56!}{1!\left(56-1\right)!}\left(0.01\right)^1\:\left(1-0.01\right)^{\left(56-1\right)} +$ $\:\frac{56!}{2!\left(56-2\right)!}\left(0.01\right)^2\:\left(1-0.01\right)^{\left(56-2\right)}$

=0.56960+0.32219+0.08949

After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!

7 0

3 years ago

A gallon of gasoline cost 2.96. Your car has a 25 gallon gas tank and can travel 28.8 miles on each gallon of gasoline. How much

geniusboy [140]

<h2>Greetings!</h2>

Answer:

It would cost 47.36

Step-by-step explanation:

First, you need to find out how many gallons are needed to fill the tank. To do this, simply multiply 25 by the fraction that is how much is already in there:

25 x $\frac{3}{8}$ = 9.375