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8_murik_8 [283]

2 years ago

15

Find the probability of not rolling prime numbers on both dice

1 answer:

gladu [14]2 years ago

6 0

Here’s the prime numbers on one dice: 2 3 5, so 3/6. If you have two die then your answer is 6/12. You have a 50 percent chance of not rolling prime numbers on both.

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Show with work please.

kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that $\text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

$-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)$

$-\text{cos} \left(\theta\right)$

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

$\text{sec}(-\theta)=\text{sec}(\theta)$

And, $\text{sec}(\theta)=-0.73$

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0

3 years ago

A regular-size box of cereal measures 3 1/2 inches by 8 1/2 inches by 15 inches. The manufacturer also sells an individual-size

Phoenix [80]

The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.

<h3>What is the volume of a rectangular prism?</h3>

The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, the standard dimensions are:

l = 3(1/2) = 3 + 0.5 = 3.5 inches.

w = 8(1/2) = 8 + 0.5 = 8.5 inches.

h = 15 inches.

The individual-size box has a 1/10 of the volume of the original box, hence:

V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

#SPJ1

4 0

2 years ago

Solve the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your

NikAS [45]

10x=60
x=6
10/3=20/6
^^^^^^^^^^^^

7 0

2 years ago

Read 2 more answers

PLEASE HELP?! IM SO CONFUSED!!

seropon [69]

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

8 0

1 year ago

The sum of three consecutive intergers is 267. What is the largest integer

Alisiya [41]

Answer:

90

Step-by-step explanation:

Let the starting number be x, the two consecutive numbers after x is gonna be x+1 and x+2.

If the sum of these three numbers is 267 then:

x+(x+1)+(x+2)=267

Solve

3x+3=267

3x=267-3

3x=264

x=264/3

x=88

x+1=89

x+2=90

Your three consecutive numbers are 88, 89, and 90.

The largest one of them is 90.

8 0

2 years ago

Read 2 more answers