Which expressions are equivalent to the one below? check all that apply :)

A medical device company knows that 11% of patients experience injection-site reactions with the current needle. If 4 people rec

Orlov [11]

Answer: 0.6274

Step-by-step explanation:

Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11

Sample size : n= 4

Let x be a binomial random variable that represents the people get an injection-site reaction.

Binomial probability formula: $P(X=x)= ^nC_x p^x(1-p)^{n-x}$

The required probability : P(x=0)

$=\ ^4C_0(0.11)^0(1-0.11)^4\\\\=(1)(1)(0.89)^4\\\\=0.62742241\\\approx0.6274$

Hence, the probability that none of the 4 people get an injection-site reaction = 0.6274

6 0

3 years ago

1<br> Solve the following inequalities, Show your workings<br> (a)<br> 2x-3> 7

klio [65]

Answer:

5

Step-by-step explanation:

2x > 7 + 3

2x > 10

divide 10 by 2

x> 5

7 0

3 years ago

The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of mone

Elena-2011 [213]

Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

Rate r = 0.04

time = x

The amount of money originally invested which is the principal P = 5,000

4 0

3 years ago

Help plsss!?!?!??!?!??>...................................

Soloha48 [4]

Answer:

A,B,D

Step-by-step explanation:

case A) If the price is marked down by percent, the new price will be

we know that

If the price is marked down by 10 percent

then the new price will be

10%= 10/100=0.10

(1 - 0.10) *$28= 0.90 * $28

=$25.20

therefore The statement case A) is True

case B) If the price is marked down by 25 percent, the new price will be $21

we know that

If the price is marked down by 25 percent

then the new price will be

25%=25/100=0.25

(1-0.25)* $28=0.75*$28

=$21

therefore The statement case B) is True

case C) If the price is marked down by 50 percent, the new price will be $19 we know that

If the price is marked down by 50 percent

then the new price will be

50%=50/100=0.50

(1-0.50)*$28= 0.50*$28

=14

therefore The statement case C) is False

case D) If the price is marked down by 35 percent, the new price will be $18.20

we know that

If the price is marked down by 35 percent

then the new price will be

35%= 35/100=0.35

(1-0.35)* $28=0.65*$28

=18.20

therefore The statement case D) is True

case E) If the price is marked down by 40 percent, the new price will be $29.80 we know that

If the price is marked down by 40 percent

then the new price will be

40%=40/100=0.40

(1-0.40)*$28= 0.60*$28

=$16.80

therefore The statement case E) is False

7 0

3 years ago

Holly took a math test. She got 98 out of 123 question correct. What percentage did Holly get incorrect? Round to the nearest hu

Dmitry [639]

Answer: 79.67%

Step-by-step explanation: 98 divided by 123 times 100

3 0

2 years ago