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sineoko [7]
3 years ago
10

A cyclist cycles a distance of 44 miles in a time of 4 hours. What is her average speed?

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
5 0

Answer:

11 miles an hour

Step-by-step explanation:

44 miles divided by 4 hours would equal 11 miles in one hour, meaning her average speed would be 11 miles an hour

Damm [24]3 years ago
3 0

Answer:

The average speed is 11

Step-by-step explanation:

You would have 44 on top and 4 on the bottom(44/4)

then you would divide the 4 by four and the 44 by four to get 11 miles an hour.

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The chances of a tax return being audited are about 21 in 1 comma 000 if an income is less than​ $100,000 and 29 in 1 comma 000
vladimir2022 [97]

Answer:

a) p=0.021

b) p=0.029

c) Exactly one audit: P=0.0965

More than one audit: P=0.0042

Step-by-step explanation:

a) If the income is less than $100,000, there is a probability of 21 in 1,000 of being audited. This is:

p_1=\dfrac{21}{1,000}=0.021

If the income is equal or more than $100,000, there is a probability of 29 in 1,000 of being audited. This is:

p_2=\dfrac{29}{1,000}=0.029

b) If we have 5 taxpayers with incomes under $100,000, and we want to know the probability that exactly one will be audited, we can model this a binomial randome variable, with p=0.021 and n=5:

P(x=1) = \dbinom{5}{1} p^{1}q^{4}=5*0.021*0.9186=0.0965\\\\

There is a probability of 0.0965 that exactly one out of a sample of five taxpayers with incomes under $100,000 will be audited.

To calculate the probability that more than one will be audited, we use the same distribution:

P(x>1)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0) = \dbinom{5}{0} p^{0}q^{5}=1*1*0.8993=0.8993\\\\\\P(x=1) = \dbinom{5}{1} p^{1}q^{4}=5*0.021*0.9186=0.0965\\\\\\P(x>1)=1-[P(x=0)+P(x=1)]\\\\P(x>1)=1-(0.8993+0.0965)\\\\P(x>1)=1-0.9958\\\\P(x>1)=0.0042

There is a probability of 0.0042 that more than one out of a sample of five taxpayers with incomes under $100,000 will be audited.

8 0
3 years ago
HELPP !!!!!! THEY ALL GO SOMEWHERE THERE SHOULDNT BE ANYLEFT
lutik1710 [3]
A.) (3, 4) = "right 3 up 4" [ Option A, C ]

B.) (-3, 4) = "left 3 up 4" [ Option B, D ]

C.) (4, -3) = "right 4 down 3" [ Option E ]

Hope this helps!
3 0
3 years ago
Read 2 more answers
Anyone please help me
Verdich [7]
9) Original price: $45 ; discount rate : 20% off
Discount     = $45 * 20%   =   $9
Sales price = $45 - $9       = $36

10) Original price : $450 ; discount rate : 30% off
Discount     = $450 * 30%  = $135
Sales price = $450 - $135 = $315

11) Original price : $48 ; discount rate : 15% off
Discount     =  $48 * 15%  =   $7.20
Sales price = $48 - $7.20 = $40.80

12) Original price : $150 ; discount rate : 25% off
Discount     = $150 * 25%      =   $37.50
Sales price = $150 - $37.50 = $112.50

13) Original price : $1,450 ; discount rate : 40% off
Discount     = $1,450 * 40%  = $580
Sales price = $1,450 - $580 = $870

14) Original price : $82 ; discount rate : 50% off
Discount     = $82 * 50% = $41
Sales price = $82 - $41  = $41
4 0
3 years ago
The scale of map is 4cm: 1km, the simplest possible ratio is a. 1cm: 250m b. 3cm: 560m c. 2cm: 340m
Zolol [24]

Answer:

1 cm : 250 m

Step-by-step explanation:

the scale is 4 cm : 1 km

4 cm/4 : 1 km/4

1 cm : 250 m

6 0
3 years ago
Read 2 more answers
Round the answer to the nearest cent. the price of an item selling at 150% of its $63 value is
BabaBlast [244]
You would get $31.5 if it is 150 percent off.(its free and you get money)
if it is 50 percent off, then the price of the item is $31.5
5 0
3 years ago
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