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Zarrin [17]
2 years ago
12

What is the greatest common factor of 49, 62 and 80?

Mathematics
2 answers:
Stels [109]2 years ago
8 0

Answer:

Your answer is...

  • 1.

Step-by-step explanation:

To find the greatest common factor, you have to list the prime factors of each number. That is how you find any GCF.

steposvetlana [31]2 years ago
6 0

Answer:

literally 1

Step-by-step explanation:

scooby ate my scooby snax

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Find the total surface area of the figure.
Ratling [72]

Answer:

8x6x4=192. So, the answer is 192.

7 0
2 years ago
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probab
kolezko [41]

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable <em>X</em> thus follows a Poisson distribution with parameter, <em>λ</em> = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, X\sim N(250, 250)

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

P(235

                             =P(-0.95

Thus, the value of P (235 < <em>X</em> < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.28

Thus, the value of P(48.

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.40

Thus, the value of P(48.

(d)

Let the sample size be <em>n</em>.

P(48

                             0.95=P(-z

The value of <em>z</em> for this probability is,

<em>z</em> = 1.96

Compute the value of <em>n</em> as follows:

z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241

Thus, the sample selected must be of size 240.

5 0
3 years ago
You open a savings account with a beginning balance of $600. You plan on depositing $50 every month until you have enough money
telo118 [61]

Answer:

48 months

Step-by-step explanation:

first take how much you need and add how much you want to leave, so 2500+500=3000. Then delete 600 from 3000, which will give you $2400. divide $2400 by 50 which gives you 48. it will take 48 months to get enough money to purchase a car at $2500 and leave $500 in the account.

8 0
2 years ago
Select all the values that belong to the solution set of 9 ≤ 6 - y. 0 3 -3 -1 -6 6 -4
salantis [7]
9 < 6- (-3)
This is due to the negatives turning into one positive! 
8 0
3 years ago
A line has the equation x = -8 What is the equation of the line parallel to this line and going through the point, ( -3, -1 )?
Talja [164]
X=-8 is just a vertical line 8 units to the left of the origin.

So a parallel line will also be vertical and as asked it must pass through (-3,-1) so it is:

x=-3
4 0
3 years ago
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