a. 6/22 or 27.27% b. 3/22 or 13.63%
there are 22 days in the range from March 18th till March 30th. each day has a probability of 1/22. add all the days together in a range to find the probability of each. A. 25,26,27,28,29,30 is 6/22 dates. B. 18,19,20 is 3/22.

7 0

2 years ago

Can you please answer this question

tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
$tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta}$ and $sec\theta= \frac{1}{cos\theta}$
Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
Substitution: Recall ⇒ $sin^2\theta =1-cos^2\theta$
$3(1-cos^2\theta)+7cos\theta=3cos^2\theta$
Distribute and collect all terms on one side:
$6cos^2\theta-7cos\theta-3=0$
Factor and set each factor equal to 0:
$(2cos\theta-3)(3cos\theta+1)=0$
$2cos\theta-3=0$ ⇒ $theta=cos^{-1} \frac{3}{2}$
$3cos\theta+1=0$ ⇒ $theta=cos^{-1} \frac{-1}{3}$
The 2nd factor provides only possible answer 109.5 degrees

4 0

3 years ago

How do you write 720,080 in expanded form with exponents

liraira [26]

The expanded form for that problem would be (7x10^5) + (2 × 10^4) + (8x10^1)
when i put ^then a number i mean to that power like 2 to the 4th power i would write 2^4

8 0

2 years ago

What’s 37 1/2% of 720

Inessa [10]

Answer:

270

Step-by-step explanation:

720 * (0.375) = 270

3 0

3 years ago