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2 years ago

Work out the circumference of the circle with a radius of 4

Mathematics

1 answer:

miv72 [106K]2 years ago

5 0

Answer:

8 π or 25.13

Step-by-step explanation:

To find the circumference of a circle when you are given the radius you must find the diameter first. The diameter is twice the radius so therefore the diameter is 8. Next you either leave the answer as 8 π or you solve and come out with 25.1327412. Hope this helped!!

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The scores on a test are normally distributed with a mean of 78 and a standard deviation of 13. Find the score that is 2 standar

Veronika [31]

Answer:

Step-by-step explanation:

Given that :

Mean (m) = 78

Standard deviation (s) = 13

Score that is 2 standard deviations below the mean

Using the relation :

Zscore = (x - m) / s

2 standard deviations below the mean means a Zscore of - 2

Hence,

-2 = (x - 78) / 13

Cross multiply

-2 * 13 = x - 78

-26 = x - 78

x = - 26 + 78

x = 52

Score which is 2 standard deviations below the mean is 52

4 0

3 years ago

Solve for x. 9x - 18 = 7x + 30

viva [34]

Answer: x = 24

Step-by-step explanation:

9x - 18 = 7x + 30

9x - 7x = 30 + 18

2x = 48

x = 48/2 = 24

3 0

3 years ago

The center of a circle is at the onigin on a coordinate grd. The vertex of a parabola that opens upward is at (0, 9). If the

kenny6666 [7]

I think it’s the maximum number of solutions is one

4 0

3 years ago

The average of a b c and d is p. If the average of a and c is q, what is the average of b and d in terms of p and q?

vodka [1.7K]

P - q i believe because
p = total average
q = average of ac
x = average of bd
p - q = x

4 0

4 years ago

Solve the following rational equation plz help!!

Yuri [45]

Answer:

x = $\frac{9}{4}$

Step-by-step explanation:

Given

$\frac{4x}{x+1}$ - $\frac{5}{x}$ = $\frac{4}{x^2+x}$ ← factor denominator

$\frac{4x}{x+1}$ - $\frac{5}{x}$ = $\frac{4}{x(x+1)}$

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = $\frac{9}{4}$

However, x ≠ - 1 for reason given above, then

solution is x = $\frac{9}{4}$

4 0

3 years ago