What is the radious of a circle with a circumference of 13 ft?

Furkat [3]

Answer:

Step-by-step explanation:

12. To find the carpet needed. Find the area :

The figure is combination of semi circle and a rectangle.

So Area = Area of semi circle + Area of rectangle

$Area \ of \ semi \ circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi \times 25 = 39.25 \ ft^2 \\\\Area \ of \ rectangle = Length \times Breadth = 15 \times 10 =150 \ ft^2$

Area = 150 + 39.25 = 189.25 sq ft

13. Cost per square feet = $$9.95

Therefore cost for 189.25 square feet = 9.95 x 189.25 = $1883.04

8 0

3 years ago

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X$

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321$

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

$z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5$

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

$P(-1.5$

3 0

4 years ago

Round 43.786 to the nearest hundredth

serious [3.7K]

43.786

Since 6 rounds up:

43.79

Hope this helps!

3 0

3 years ago

Read 2 more answers

Does anyone has Algebra ll and if so can you please help me with this problem 5i/-2-6i And also I can't pay you but I hope God c

asambeis [7]

Answer:

$s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i$

Step-by-step explanation:

We have the following complex number $s = \frac{5i}{-2-6i}$ , we proceed to simplify the expression as follows:

1) $\frac{5i}{-2-6i}$ Given.

2) $(5i)\cdot (-2-6i)^{-1}$ Definition of division.

3) $[(5i)\cdot (-2-6i)^{-1}]\cdot [(-2+6i)\cdot (-2+6i)^{-1}]$ Modulative and associative properties/Existence of the additive inverser

4) $[(5i)\cdot (-2+6i)]\cdot [(-2-6i)^{-1}\cdot (-2+6i)^{-1}]$ Commutative and associative properties.

5) $[(5i)\cdot (-2+6i)]\cdot [(-2-6i)\cdot (-2+6i)]^{-1}$ $a^{c}\cdot b^{c} = (a\cdot b)^{c}$

6) $[(5i)\cdot (-2+6i)]\cdot [4+36]^{-1}$ $(a+b)\cdot (a-b) = a^{2}-b^{2}$ /Definition of complex number/ $a\cdot (-b) = -a\cdot b$

7) $[(5i)\cdot (-2)+(5i)\cdot (6i)]\cdot 40^{-1}$ Definition of sum.

8) $(-10\cdot i+30\cdot i^{2})\cdot 40^{-1}$ $a\cdot (-b) = -a\cdot b$ /Associative and commutative properties.

9) $(-30-10i)\cdot 40^{-1}$ Commutative properties/Definition of complex number/ $a\cdot (-b) = -a\cdot b$

10) $-30\cdot 40^{-1}-(10i)\cdot 40^{-1}$ Distributive property.

11) $-\frac{30}{40}-\frac{10}{40}i$ Definition of division/Result.

$s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i$

6 0

3 years ago

What is the mean total?

tamaranim1 [39]

Answer: the answer is 8

Step-by-step explanation:

the Mean total just means average

Formula =

sum of all numbers / amount of numbers

= 5+10+15+7+3 = 40

40 / 5 = 8

8 0

3 years ago