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2 years ago

Suppose a normal distribution has a mean of 50 and a standard deviation of

Mathematics

2 answers:

grandymaker [24]2 years ago

7 0

Then standardize the two scores

48 and 52

to be able to consult the table.

The formula for changing a raw score x into a z score is

Z=X−μσ.

For this problem, X is normal with

μ=50 and σ=5.

So, by symmetry of the standard normal curve,

P(48<X<52)

=P(48−50<X−50<52−50)

=P(48−505<X−505<52−505)

=P(−25<Z<25)

=P(−.40<Z<.40)

=P(Z<.40)−P(Z<−.40)

=P(Z<.40)−P(Z>.40)

=P(Z<.40)−(1−P(Z<.40))

=2P(Z<.40)−1

=2(.6554)−1

=1.3108−1

=.3108≈.31

=31%.

hoa [83]2 years ago

5 0

Answer:

27.8% I think

Step-by-step explanation:

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Will give brainliest

V125BC [204]

Answer:

Step-by-step explanation:

Basically, this question is asking the legs of the triangle shown in the graph.

In this right triangle, there are 2 legs and one of them is 6400 meters. We were asked to find out the length of the other led. And we know the angle is 16.5 deg.

Using Tangent to find out:

set the length of the other leg is x meters.

tan(16.5) = 6400/x

x= 6400/tan(16.5)

x= 21606 m

7 0

2 years ago

Read 2 more answers

I NEED ANSWER ASAP! I WILL GIVE BRAINELIEST!!!!!! Construct a right triangle whose legs are in the ratio 3:4. What are the ratio

Gala2k [10]

Answer:

3 : 5, 4: 5

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore, lengths of the legs of right triangle would be 3x and 4x

By Pythagoras Theorem:

${hyp}^{2} = {(3x)}^{2} + {(4x)}^{2} \\ = 9 {x}^{2} + 16 {x}^{2} \\ = 25 {x}^{2} \\ hyp = \sqrt{25 {x}^{2} } \\ hyp = 5x \\ \\ ratios \: of each \: leg \: to \: the \: hypotenuse \\ \frac{3x}{5x} = 3 : 5 \\ \\ \frac{4x}{5x} = 4 : 5$