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sp2606 [1]
3 years ago
9

cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. one card is drawn from this box. find the probabili

ty that the number on the card is a) a number less than 14 b) a number which is a perfect square
Mathematics
1 answer:
Kamila [148]3 years ago
7 0

number of cards = 100

number less than 14 = {2,3,...,13} = 12

number perfect square = {4, 9, 16, 25, 36, 49, 64, 81, 100} = 9

so

a) probability = 12/100 = 3/25

b) probability = 9/100

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3 years ago
Given: A(12,9), B(-2,-5) Find: M​
VARVARA [1.3K]

Answer:

<h2>M = ( 5 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(12,9), B(-2,-5)

The midpoint M is

M  =  (\frac{12 - 2}{2} , \:  \frac{9 - 5}{2} ) \\  = ( \frac{10}{2} , \:  \frac{4}{2} )

We have the final answer as

<h3>M = ( 5 , 2)</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
Fynjy0 [20]

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

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7 0
3 years ago
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IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

H_a: p

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The sample proportion of adults smoked a cigarette= \hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31

The test statistic for proportion is given by :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Substitute all the values , we get

z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84

Hence, the value of the test statistic = 0.84

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4 years ago
What’s the answer to this!!!
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Answer:

8.54

Step-by-step explanation:

5 0
3 years ago
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