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r-ruslan [8.4K]
4 years ago
12

Triangle ABC has verticals A (3,0),B (9,5)and (7,-8) find the length of AC in simplest radical form

Mathematics
1 answer:
AlladinOne [14]4 years ago
4 0
length =  \sqrt{(0+8)^2 + (3-7)^2} =  \sqrt{64 + 16} =  \sqrt{80} = 4\sqrt{5}


Answer: Length = 4√5 units.
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Find the next two terms of this sequence 2, 10, 50, __, __
borishaifa [10]

The pattern is multiply by 5

2 x 5 = 10

10 x 5 = 50

50 x 5 = 250

250 x 5 = 1250

Answer

The next two terms: 250 and 1250


2, 10, 50,250, 1250


7 0
4 years ago
Read 2 more answers
John has two jobs. For daytime work at a jewelry store he is paid
djyliett [7]

Given Information:

John's mean monthly commission = μ = $10,000

Standard deviation of monthly commission = σ =  $2,000

Answer:

P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%

The probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the probability that John's commission from the jewelry store is  between $9,000 and $11,000?

P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\

The z-score corresponding to 0.50 is 0.6915

The z-score corresponding to -0.50 is 0.3085

P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%

Therefore, the probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

4 0
4 years ago
Help me solve this pls
ddd [48]

Answer:

\frac{x - 10}{8}

Step-by-step explanation:

\frac{3x}{8} - \frac{x + 5}{4}

The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.

Thus:

\frac{1(3x) - 2(x + 5)}{8}

\frac{3x - 2x - 10}{8}

\frac{x - 10}{8}

5 0
3 years ago
El precio de las acciones en tecnologia era $9.69 el día de ayer. Hoy el precio bajó a $9.58. Hallar el porcentaje de disminució
sesenic [268]

(9.69-9.58):9.58*100 =

(9.69:9.58-1)*100 =

101.14822546973-100 = 1.1

Eso sería una disminución de 1.1

O como porcentaje redondeado 1.14%.

Espero eso ayude!

8 0
3 years ago
#11 Write the decimal<br> 1.0056 in word form.
malfutka [58]

Answer: One and fifty six thousandths

Step-by-step explanation:

The 1 represents one so that first the decimal point represents and so that’s second 56 represents the thousands place so it would be fifty six thousandths since it is on the right side of the decimal.

8 0
3 years ago
Read 2 more answers
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