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motikmotik
4 years ago
15

Which number line correctly shows –3 – 1.5?

Mathematics
1 answer:
34kurt4 years ago
3 0

Answer:5.4

Step-by-step explanation:

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The arc length of a sector created by a 90° angle is 25 cm. What is the circumference of the entire circle? Express
docker41 [41]

Answer:

We know length of one quarter of a circle = 2πr/4 = πr/2

So here we can make the equation for to find thr value of radius r

length of one quarter given = 25 cm

so πr/2 = 25 cm

=> πr = 50 cm

=> r = 50/π cm

So the entire circumference of circle =

2πr

= 2 π 50/π cm

= 100π/π cm (ans)

Here we dont substitute the value of π due to represent the answer in terms of pi.

Hope it helps you

6 0
3 years ago
Which of the following is a pair of vertical angles? <br><br> EXAMPLE: 1 and 4 , 1 and 5
tresset_1 [31]
5 and 7
1 and 3
4 and 2
8 and 65
6 0
3 years ago
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A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a
Sati [7]

Answer:

P(X \geq0.55) \leq 0.22

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

Y=X_1+X_2+...+X_{100} is approximately normally distributed with

Y ~ N (100 × \frac{1}{3^2} ) = N ( 50, \frac{100}{9} )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, \frac{100}{9} )

P(Y>55) =P(Z>\frac{55-50}{10/3})

P(Y>55) =P(Z>1.5)

P(Y>55) =\phi (-1.5)

P(Y>55) =0.0668

Using Chebyshev's inequality:

P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}

Let assume that X has a symmetric distribution:

Then:

2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}

2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}

2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}               where: (\sigma^2 = \frac{1}{3^2/100})

P(X \geq0.55) \leq 0.22

6 0
3 years ago
Evaluate the functionf(-x) = f(x) plug in the points (2,1) then solve
jarptica [38.1K]

Problem

evaluate the function

f(-x) = f(x)

plug in the points (2,1) then solve

Solution

For this case we can conclude that:

f(2) =1

So then we satisfy that:

f(-2) =1

6 0
1 year ago
The relationship between angles a and b?​
Rina8888 [55]

Answer:

They are both acute angles

7 0
3 years ago
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