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4 years ago

What is the GCF of 9, 27,and 63

Mathematics

2 answers:

ki77a [65]4 years ago

8 0

The answer is 3.
3×3=9
3×9=27
3×21=63

svetlana [45]4 years ago

8 0

The factors of 9 are 1, 3, and 9 .

The factors of 27 are 1, 3, 9, and 27 .

The factors of 63 are 1, 3, 7, 9, 21, and 63 .

The common factors of 9, 27, and 63 are 1, 3, and 9.

Their greatest common factor is 9 .

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Pls help me with number

vredina [299]

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

$\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\$

$\sf \text{Number of women =$\dfrac{1}{3}x$}$

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

$\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\$

$x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100\\$

$\sf x = 100*\dfrac{12}{5}\\$

x = 20 * 12

x = 240

<h3> Total number of people = 240</h3>

7 0

2 years ago

Ten pairs of data yield r = 0.003 and the regression equation =2+3x Also, the mean = 5 What is the best predicted value of y for

Olenka [21]

Answer:

$\hat y(2)=2 +3(2) =8$

C 8.0

Step-by-step explanation:

Assuming the linear model y=mx+b where m is the slope and b the intercept.

For this case the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$b=\bar y -m \bar x$

After the calculations we see that m=3 and b=2 from the info given by the linear model.

For this case we have the equation obtained by least squares given by:

$\hat y =2 +3x$

Where 2 represent the intercept and 3 the slope. We are interested on the best predicted value of y when x=2.

If we see our linear model we have the equation in terms of y and x. So we can replace directly the value of x=2 into the equation and see what we got:

$\hat y(2)=2 +3(2) =8$

5 0

3 years ago

PLEASE HELP!!!!

iris [78.8K]

I hope this helps you

7 0

3 years ago

3/4b = 3/7 what is B

Zanzabum

The answer is B= 4/7

7 0

3 years ago

A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what

jekas [21]

Answer:

P(X > 8) = 0.323

Step-by-step explanation:

We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 15 pitches

r = number of success = more than 8

p = probability of success which in our question is probability of

throwing a strike for each pitch, i.e., 0.507

<em>LET X = Number of strikes</em>

So, it means X ~ $Binom(n=15, p=0.507)$

So, Probability that more than 8 of them are strikes = P(X > 8)

P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

= $\binom{15}{9}0.507^{9} (1-0.507)^{15-9} +\binom{15}{10}0.507^{10} (1-0.507)^{15-10}+\binom{15}{11}0.507^{11} (1-0.507)^{15-11}+\binom{15}{12}0.507^{12} (1-0.507)^{15-12}+\binom{15}{13}0.507^{13} (1-0.507)^{15-13}+\binom{15}{14}0.507^{14} (1-0.507)^{15-14}+\binom{15}{15}0.507^{15} (1-0.507)^{15-15}$ = $5005 \times 0.507^{9} \times 0.493^{6} +3003 \times 0.507^{10} \times 0.493^{5} +1365 \times 0.507^{11} \times 0.493^{4} +455 \times 0.507^{12} \times 0.493^{3} +105 \times 0.507^{13} \times 0.493^{2} +15 \times 0.507^{14} \times 0.493^{1} +1 \times 0.507^{15} \times 0.493^{0}$

= 0.323

Therefore, probability that more than 8 of them are strikes is 0.323.

4 0

3 years ago