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ELEN [110]
3 years ago
7

What is the length of segment A’B’?

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

Answer:

8

Step-by-step explanation:

A translation is a solid transformation. Lengths of sides and measures of angle remain equal.

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
hammer [34]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

8 0
4 years ago
I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?
Pavel [41]

Answer:

$2326

Step-by-step explanation:

I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?

To solve the above question, we have:

$43,000 = $1000

$100,000 = x

Cross Multiply

43000 × x = 100,000 × 1000

x = 100000 × 1000/43000

x = $2325.5813953

Approximately = $2326

Therefore, If the coin reaches $100000 you would have invested $2326

8 0
3 years ago
Round each decimal 32.62 tenths place
Tresset [83]

Answer:

32.6

Step-by-step explanation:

Look at the decimal in the hundredths place in 32.62

If the number is 0-4, round down. If the number is 5-9, round up.

In 32.62, the number in the hundredths place is 2. So, we round down to 32.6

3 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Sav [38]
I think this is y = 2/1x+1
4 0
3 years ago
Two mechanics worked on a car. the first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. together they
Ksenya-84 [330]

Alright, lets get started.

Suppose first mechanic charges= x

So, second mechanic charges will be = (125 - x) (because total of their rates was 125)

first mechanic worked for 5 hours, and the second mechanic worked for 15 hours and together they charged a total of $1225

Means

5 x + 15 (125-x) = 1225

5 x + 1875 - 15 x  = 1225

1875 - 10 x = 1225

Adding 10 x in both sides

1875 - 10 x + 10 x = 1225 + 10 x \\1875 = 1225 + 10 x

Subtracting 1225 from both sides

1875 - 1225 = 1225  + 10 x - 1225\\650 = 10 x

Dividing 10 in both sides

\frac{650}{10}  =  \frac{10x}{10}

x = 65

For second mecahnics rate = 125 - 65 = 60

Hence The mechanic who worked 5 hours charged $ 65 per hour, the one who worked 15 hours charged $ 60 per hour: Answer

Hope it will help :)

3 0
3 years ago
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