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2 years ago

Р

Mathematics

1 answer:

saw5 [17]2 years ago

6 0

Answer:

m<R ≈ 22.62°

Step-by-step explanation:

Reference angle = R

Side opposite to R = 5 cm

Adjacent side length = 12 cm

Thus, applying TOA, we have:

Tan R = opp/adj

Tan R = 5/12

R = tan^{-1}(5/12)

R ≈ 22.62° (nearest hundredth)

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A river flows due south at 4 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 mi/h relative to the wat

Inessa05 [86]

Answer:

$\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h$

Step-by-step explanation:

velocity of river with respect to ground = 4 mi/h south

$\overrightarrow{V_{R,G}}=4(\widehat{-j})$

Velocity of swimmer with respect to river = 2 mi/h east

$\overrightarrow{V_{S,R}}=2(\widehat{i})$

According to the formula of relative velocity

$\overrightarrow{V_{S,R}}=\overrightarrow{V_{S,G}}-\overrightarrow{V_{R,G}}$

$2\widehat{i}=\overrightarrow{V_{S,G}}+4\widehat{j}$

Where, V(S,G) be the velocity of swimmer with respect to ground, it is true velocity of swimmer.

$\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h$

5 0

3 years ago

How do you do number 1?<br>Whenever I tried to answer it, I always get fraction. help me.

Flura [38]

Answer:

The pairs are (13,15) and (-15,-13).

Step-by-step explanation:

If n is an odd integer, the very next odd integer will be n+2.

n+1 is even (so we aren't using this number)

The sum of the squares of (n) and (n+2) is 394.

This means

(n)^2+(n+2)^2=394

n^2+(n+2)(n+2)=394

n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2

Combine like terms:

2n^2+4n+4=394

Subtract 394 on both sides:

2n^2+4n-390=0

Divide both sides by 2:

n^2+2n-195=0

Now we need to find two numbers that multiply to be -195 and add up to be 2.

15 and -13 since 15(-13)=-195 and 15+(-13)=2

So the factored form is

(n+15)(n-13)=0

This means we have n+15=0 and n-13=0 to solve.

n+15=0

Subtract 15 on both sides:

n=-15

n-13=0

Add 13 on both sides:

n=13

So if n=13 , then n+2=15.

If n=-15, then n+2=-13.

Let's check both results

(n,n+2)=(13,15)

13^2+15^2=169+225=394. So (13,15) looks good!

(n,n+2)=(-15,-13)

(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!

6 0

3 years ago

Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi

ziro4ka [17]

Answer:

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(5.75241,0.06281)$