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Oksana_A [137]
3 years ago
15

Katie says ‘when you half a whole number that ends in 6, you always get a number that ends in 3.’ Write down an example to prove

that this statement is not true
Mathematics
1 answer:
mart [117]3 years ago
6 0

Answer:

if you half 16 you get 8 not 3

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What is 5% of $30,000
ValentinkaMS [17]
30000= 100%
x=5%
30000/x=100/5
<span>(30000/x)*x=(100/5)*x
</span>30000=20*x
30000/20=x
x=1500 
5%of 30000 is 1500
7 0
3 years ago
The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p - 24.1t+575 where t is
krok68 [10]

Answer:

<u>69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.

Step-by-step explanation:

Given:

Average Price to rent a studio is denoted by 'p'.

It is been approximated by equation:

p-24.1t+575

where t ⇒ number of years since 2005

Now given:

Average Price to rent a studio p = $1081.10

Substituting the value of p in above equation we get;

1081.10-24.1t+575

Solving the new equation to find the value of t we get;

1656.1=24.1t

Dividing both side by 24.1 we get;

\frac{1651.1}{24.1} =\frac{24.1t}{24.1} \\\\t= 68.71 \approx 69 years

Hence<u> 69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.

<u />

7 0
3 years ago
Gabriel owns 27 books and 23 non fiction books. If 8 books fit on each shelf, how many shelves does he need for all his books?
tino4ka555 [31]
4 shelves the first three shelves can hold 8 books each and the fourth shelf has 3 books on that shelf so altogether 4 shelves for 27 books
3 0
3 years ago
Is this a function or no (-3,2)(-1,0)(1,-2)(-3,4)(3,-2)?
Arisa [49]

Answer:

-2-2-28

-2-2-2'&&&---6223,357%35372273753857270%

3 0
3 years ago
Consider 8 blood donors chosen randomly from a population. The probability that the donor has type A blood is .40. Which of the
belka [17]

Answer: Option B is the only correct option.

Step-by-step explanation:

Number of samples = n = 8.

Probability of success = p = 0.4

Probability of failure = q = 0.6

r = chosen number of donors among the 8

To solve this question, we use the distribution formula

P(x=r) = nCr * p^r * q^n-r

For option A, to check if P(3<x<5) = 0.37. [3 and 5 inclusive]

When x = 3

P(x=3) = 8C3 * 0.4^3 * 0.6^5

P(x=3) = 56 * 0.064 * 0.07776

P(x=3) = 0.2787

When x= 4

P(x=4) = 8C4 * 0.4^4 * 0.6^4

P(x=4) = 70 * 0.0256 * 0.1296

P(x=4) = 0.2322

Since p(x=3) + p(x=4) is already greater than 0.37, then we know option A is NOT correct.

For option B, To check if the probability of 1 or fewer donor is about 0.11. i.e if P(x</=1) = 0.11

When x=o

P(x=0) = 8C0 * 0.4^0 * 0.6^8

P(x=0) = 1* 1 * 0.016796

P(x=0) = 0.016796.

When x = 1

P(x=1) = 8C1 * 0.4^1 * 0.6^7

P(x=1) = 8 * 0.4 * 0.02799

P(x=1) = 0.08958

P(x=0) + P(x=1) = 0.016796 + 0.08958

P(x=0) + P(x=1) = 0.10635.

Since this is approximately 0.11, then option B is a correct option.

For option C to check if the probability 7 or more donors not having type A = 0.0087

To do this,we determine thw probability of 7 or more donors having type A and we subtract our answer from 1.

First, we determine P(x>/=7)

When x= 7

P(x=7) = 8C7 * 0.4^7 * 0.6^1

P(x=7) = 8 * 0.001638 * 0.6

P(x=7) = 0.007864

When x=8

P(x=8) = 8C8 * 0.4^8 * 0.6^0

P(x=8) = 1 * 0.0006554 * 1

P(x=8) = 0.0006554

P(x=7) + P(x=8) = 0.007864 + 0.0006554 = 0.00852.

Since probability of 7 or more donors having type A is 0.00852 as against what was stated in the option C, then option C is NOT a correct option.

For option D, to check if the probability of exactly 5donors having type A blood = 0.28

When x=5

P(x=5) = 8C5 * 0.4^5 * 0.6^3

P(x=5) = 56 * 0.01024 * 0.216

P(x=5) = 0.1239.

Since probability of what was derived for having exactly 5 donors having sample A is different from what wqs given in the option, then option D is NOT correct.

For option E, since what was stated in the option negates what was derived for exactly 5 donors, then option E is NOT correct

6 0
3 years ago
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