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3 years ago

Find the mean of first five prime numbers.

Mathematics

2 answers:

Burka [1]3 years ago

7 0

Answer:

5.6

Step-by-step explanation:

First five prime numbers are 2, 3, 5, 7 and 11. The mean or the average formula is = Sum/number of items = (2 + 3 + 5 + 7 +11)/5 = 5.6

sveta [45]3 years ago

3 0

I think it is 5.6 sry if I am wrong

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Explain why the binomial 9.r– 3 is not factorable. Please explain in sentence form.

Aneli [31]

Answer:

Uhhh, it can be factored into 3 * ( 3r - 1 )

Step-by-step explanation:

I think you know how factoring works. Other than that, I see no way fo proving that it can't be factored.

5 0

3 years ago

What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

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3 0

3 years ago

Two cyclists start from 98 miles apart and begin racing toward each

kati45 [8]

The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Learn more here:

brainly.com/question/18839894

3 0

2 years ago

Read 2 more answers

Factor 6y^2(y^2+6y+9) completely.

natali 33 [55]

$6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)$

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3 years ago

Select the simplification that accurately explains the following statement.

Mariana [72]

Answer

Explanation

9⁽¹/²⁾² = (9⁽¹/²⁾)²

= 9¹/² × 9¹/² (Since the base are the same, we can add the power.)

= 9⁽¹/² ⁺¹/²⁾

= 9 ¹

= 9

The correct simplification is D.

8 0

4 years ago

Find the mean of first five prime numbers.​

Find the mean of first five prime numbers.