Which statements are true about the rules of division?

Two antibiotics are available as treatment for a common ear infection in children. • Antibiotic A is known to effectively cure t

Scrat [10]

Step-by-step explanation:

the probability of A working is 60% or 0.6, so the probability it does not work is 40% or 0.4.

the probability of B working is 90% or 0.9, so the probability it does not work is 10% or 0.1.

plan 1

it is the probabilty that either A works, or (if it is not working) B works.

0.6 + 0.4×0.9 = 0.6 + 0.36 = 0.96

plan 2

either B works, or (if it is not working) A works

0.9 + 0.1×0.6 = 0.9 + 0.06 = 0.96

both plans have the same success probability.

5 0

2 years ago

Exponential growth or exponential decay last question please help ?

maksim [4K]

This is exponential growth because the peak starts at the negative side and it ends up at the positive side. Therefore, it is exponential growth.

6 0

3 years ago

Anna just accepted a job at a new company where she will make an annual salary of $66000. Anna was told that for each year she s

NikAS [45]

Answer:

90000

Step-by-step explanation:

I put 4000 times 6 years then added that to 66000 then got 90000.

5 0

3 years ago

Read 2 more answers

The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig

natali 33 [55]

Answer:

a) the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

b) $y = 28.36^0 \ C$ ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

$\mathbf{y = A sin (Bt -C)+D}$

where A = amplitude and which can be determined via the formula:

$A = \dfrac{largest \ temperature - lowest \ temperature}{2}$

$A = \dfrac{29-14}{2}$

$A = \dfrac{15}{2}$

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then $\dfrac{2 \pi}{B } =365$

$B = \dfrac{2 \pi}{365}$ ( where 365 is the time period )

The vertical shift is found by the equation D;

D = $\frac{largest \ temperature + lowest \ temperature}{2}$

D = $\frac{29+14}{2}$

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

$y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5$

From the question; when it is 7th of the year ( i.e January 7);

t = 7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

$29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5$

$29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5$

$\frac{29-21.5}{7.5}= sin (\frac{14 \pi}{365} -C)$

$1= sin (\frac{14 \pi}{365} -C)$

$sin^{-1}(1)= (\frac{14 \pi}{365} -C)$

$\frac{\pi}{2}= (\frac{14 \pi}{365} -C)$

$C= (\frac{14 \pi}{365} -\frac{\pi}{2})$

$C= (\frac{28 \pi- 365 \pi}{730} )$

$C= \frac{-337 \pi}{730}$

Thus; the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

$y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5$

$y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5$

$y = 7.5 *( 0.915)+ 21.5$

$y = 6.8689+ 21.5$

$y = 28.36^0 \ C$ ( to two decimal places)

7 0

3 years ago

Read 2 more answers

F(x) = 4x² – 17x+3

Svet_ta [14]

Answer:

discriminant: 241

2 real roots

Step-by-step explanation:

The discriminant is the part of the quadratic equation that is under the sqare root

x=(-b±√(b²-4ac))/2a

discriminant: b²-4ac

We also know that a quadratic equation is in the form ax²+bx+c = 0, so we can plug in the values we know from our equation to find the discriminant.

a=4

b=-17

c=3

(-17)^2-4(4)(3)

We also know that if the discriminant

is positive we have 2 real roots

is 0 we have 1 real root aka a repeated real solution

is negative we have no real roots

8 0

4 years ago