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Anni [7]
3 years ago
9

Find the greatest common factor of 30 and105

Mathematics
1 answer:
spayn [35]3 years ago
8 0
The greatest common factor is 5
You might be interested in
The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. ​(
Vinvika [58]

Answer:

a) P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

b) z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

X \sim N(106,0.3)  

Where \mu=106 and \sigma=0.3

Part a

We are interested on this probability

P(X>106.11)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And using this formula we got:

P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score we got:

z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

6 0
3 years ago
On a school playground, a math teacher draws a number line with values from 10 to 10. The distance between each
german

Answer:

12

<h3>Step-by-step explanation:</h3>

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

count the spaces between the two numbers

<h2 />
4 0
3 years ago
Marie and fe work in a flower shop 6 hours on weekend to add their daily allowance in school. They spends 2 1/3 hours for making
Shkiper50 [21]

Answer:

2 1/6 hours

Step-by-step explanation:

2 1/3 + 1 1/2 + x = 6

convert all mixed numbers to improper fractions

7/3 + 3/2 + x = 6/1

change all numbers to have a common denominator

14/6 + 9/6 + x = 36/6

combine like terms

23/6 + x = 36/6

subtract 23/6 from both sides

x = 13/6

convert improper fraction to mixed number

2 1/6

7 0
3 years ago
You need 2b cups of flour for making b loaves of bread. You have 8 cups of flour . Do you have enough for 5 loafs of bread?Expla
lubasha [3.4K]

Answer:

No.  I don't have enough Flour to make 5 loaves of bread.

From the Amount of flour i had i can make 4 loaves only.

Step-by-step explanation:

Given:

Flour required for making loaves of bread = 2b cups

Amount of flour i had = 8 cups

Number of loaves of bread = b

We need to find the we have enough flour to make 5 loafs of bread.

Solution:

We know that;

Amount of flour I had is equal to Flour required for making loaves of bread

framing in equation form we get;

2b=8

Dividing both side by 2 we get;

\frac{2b}{2} =\frac{8}{2}

b=4

Hence From the Amount of flour i had i can make 4 loaves only.

Hence I don't have enough Flour to make 5 loaves of bread.

3 0
3 years ago
F(x) = 2x + 3<br> What function is this
topjm [15]

Answer:

This is a linear function.

7 0
3 years ago
Read 2 more answers
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