All categories

3 years ago

Twenty-four is __ % of 80.

2 answers:

6 0

We're gonna call the blank an x, so 24 is x% of 80.

80/24 = 3.33333 = x

100/x
100/33.33333 = 30%

So, 24 is 30% of 80

MAXImum [283]3 years ago

4 0

You can set up the problem as a ratio like this:

24 x

---- = ----

80 100

Thus, 80x = 2400

Finally, x = 30

You might be interested in

A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

Oxana [17]

Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

5 0

3 years ago

6m+17-13+5n combine like terms

lana [24]

Answer:

hmmmm bilmim weantremlo ?

3 0

2 years ago

Read 2 more answers

396= (16+2x) x (12+2x)

balu736 [363]

Answer:

X= 3 or x=-17

Step-by-step explanation:

1. Simplify both sides of the equation

2. Subtract 4X to the second power +56X +192 from both sides

3. Factors the left side of the equation

4. Set factors equal to zero

8 0

3 years ago

Find the sum of the following series

vazorg [7]

Answer:

a) 820

b)450

c) -540

d) -294

e) 1440

f) 1425

Step-by-step explanation:

a) it is an arithmetic progression with ratio=4

a1=3,

a2=3+r=3+4=7.....

a20=a1+19r

so a20=3+19*4=3+76=79

S=(a1+an)*n/2 where n=20

so S=(3+79)*20/2=820

b) a15=a1+14*r=2+14*4=2+56=58

S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450

It is the same formula for all the exercises

S=(a1+an)*n/2 , where n is the number of terms

c) a40=30+39*(-3)=30-87=-57

So S=(30-57)*40/2=-540

d) a14=5+13*(-4)=5-52=-47

S=(5-47)*14/2=-42*14/2=-42*7=-294

e) it is 5+7+9+......+75

nr of terms = (an-a1) :r+1=(75-5):2+1=36

S=(5+75)*36/2=36*40=1440

f) ratio=7-4=3

the same formula for n= (91-4):3+1=87:3+1=29+1=30

S=(4+91)*30/2=95*30/2=2850/2=1425

8 0

3 years ago

Find the quotient. Write your answer in standard form. 2+i/2-i

xeze [42]

Using PEDMAS, you would divide I/2 first, then add 2 to that and subtract I from the equation. It all varies on what "i" is, however.

6 0

3 years ago

Read 2 more answers