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3 years ago

Write your answer in simplest radical form

Mathematics

2 answers:

KonstantinChe [14]3 years ago

5 0

We have to find,

The required value of n.

Now we can,

Use the trigonometric functions.

→ tan(θ) = opp/adj

Let's find the required value of n,

→ tan (θ) = opp/adj

→ tan (30) = n/2√3

→ n = 2√3 × tan (30)

→ n = 2√3 × √3/3

→ n = 2√3 × 1/√3

→ [n = 2]

Thus, the value of n is 2.

AnnZ [28]3 years ago

4 0

Answer:

n = 2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 30 = n / 2 sqrt(3)

2 sqrt(3) tan 30 = n

2 sqrt(3) * sqrt(3)/3 = n

2 = n

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The Center for Medicare and Medical Services reported that there were 295,000 appeals for hospitalization and other Part A Medic

Ymorist [56]

Answer:

(a) 0.00605

(b) 0.0403

(c) 0.9536

(d) 0.98809

Step-by-step explanation:

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012) and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

$P(X=r)= \binom{n}{r}p^{r}(1-p)^{n-r} ; x = 0,1,2,3,....$

where, n = number of trials (samples) taken = 10

r = number of success

p = probability of success which in our question is % of first-round

appeals that were successful, i.e.; 40%

So, here X ~ $Binom(n=10,p=0.40)$

(a) Probability that none of the appeals will be successful = P(X = 0)

P(X = 0) = $\binom{10}{0}0.40^{0}(1-0.40)^{10-0}$

= $1*0.6^{10}$ = 0.00605

(b) Probability that exactly one of the appeals will be successful = P(X = 1)

P(X = 1) = $\binom{10}{1}0.40^{1}(1-0.40)^{10-1}$

= $10*0.4^{1} *0.6^{10-1}$ = 0.0403

P(X >= 2) = 1 - P(X = 0) - P(X = 1)

= 1 - $\binom{10}{0}0.40^{0}(1-0.40)^{10-0} - \binom{10}{1}0.40^{1}(1-0.40)^{10-1}$

= 1 - 0.00605 - 0.0403 = 0.9536

(d) Probability that more than half of the appeals will be successful = P(X > 0.5)

For this probability we will convert our distribution into normal such that;

X ~ N( $\mu = n*p=4,\sigma^{2}= n*p*q = 2.4$ )

and standard normal z has distribution as;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

P(X > 0.5) = P( $\frac{X-\mu}{\sigma}$ > $\frac{0.5-4}{\sqrt{2.4} }$ ) = P(Z > -2.26) = P(Z < 2.26) = 0.98809

3 0

3 years ago

Whitepunk [10]

Answer:

294 cubic centimetres

Step-by-step explanation:

if both are similar then you take 240(pyramid y) -135(pyramid x) = 105(difference between the two) then take 189(pyramid x)+ 105 = 294

8 0

3 years ago

What do I type in the box pls help???

MaRussiya [10]

Answer:

f(x)=3x-5

g(x)=-6x²+6x+2

f(x)×g(x)

=(3x-5)(-6x²+6x+2)( use distributive property)

=(3x×-6x²)+(3x×6x)+(3x×2)+(-5×-6x²)+(-5×6x)+(-5×2)

=(-18x³)+(18x²)+6x+30x²-30x-10

=-18x³+18x²+6x-30x+30x²-10

=-18x³+18x²-24x+30x²-10

=-18x³+18x²+30x²-10

=-18x³+48x²-10---------------you may write this answer

Hope it's was clear,

please pick me brainliest

4 0

3 years ago

What is the minimum number of the data set shown on the box-and-whisker plot?

Dmitriy789 [7]

Hello there, and thank you for posting your question here on brainly.

Short answer: C. 9

Why?

Box and whisker plots are confusing, the line in the middle is the median, but we don't need to do that now. The dots on the lines outside of the box show the largest and the shortest number. The plotted point on the way left is your answer, the line plotted is 9.

[Mark as Brainliest!]

3 0

4 years ago

Write the number that is 10 more than 98 complete this number sentence. 12 is 1 more than --- and 1 less than ---

AVprozaik [17]

98 + 10 = 108

<span>12 is 1 more than 11

and 1 less than 13

Hope this helps!</span>

3 0

3 years ago

Write your answer in simplest radical form​

Write your answer in simplest radical form