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3 years ago

Find the equation of circle having centre with

Mathematics

1 answer:

GaryK [48]3 years ago

3 0

Step-by-step explanation:

Simply use the general equation of a circle to obtain its equation given the center. Because radius is 5 units, this may be referred to the 3-4-5 triangle, meaning the point on circumference is 3 units across in the x-direction and 4 units up in the y-direction.

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For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of sc

gogolik [260]

Answer:

a) The percentage of bone density scores that are significantly high is 2.28%

b) The percentage of bone density scores that are significantly low is 2.28%

c) The percentage of bone density scores that are not significant is 95.44%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. significantly high (or at least 2 standard deviations above the mean).

This is 1 subtracted by the pvalue of Z = 2.

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% of scores are signifcantly high

b. significantly low (or at least 2 standard deviations below the mean).

pvalue of Z = -2

Z = -2 has a pvalue of 0.0228

2.28% of scores are signicantly low.

c. not significant (or less than 2 standard deviations away from the mean).

pvalue of Z = 2 subtracted by the pvalue of Z = -2.

Z = 2 has a pvalue of 0.9772

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

95.44% of the scores are not significant

7 0

3 years ago

Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

7 0

3 years ago

you randomly choose a shirt off the shelf. there is 4 blue shirts 2 black shirts and 2 green shirts and 1 white shirt and 1 red

meriva

Answer:

2 out of 10

Step-by-step explanation:

Simple math

5 0

3 years ago

Help please and thanks! I always give brainliest! :)

Alex Ar [27]

Answer:

CD = 6.3

Step-by-step explanation:

The triangles CED and CGF are similar since two sides are on same line and one side is parallel.

<u>Corresponding sides have equal ratios:</u>

CG/CE = CF/CD
CG/CE = (CD - 1.8)/CD
6/(6 + 2.4) = (CD - 1.8)/CD
6/8.4 = (CD - 1.8)/CD
1/1.4 = (CD - 1.8)/CD
1*CD = 1.4CD - 1.4*1.8
0.4CD = 2.52
CD = 2.52/0.4
CD = 6.3

4 0

2 years ago

Lashawn makes scrambled eggs with 333 spoonfuls of salsa for every 222 eggs. Gilberta adds 777 spoonfuls of salsa for every 555

jeka94

Answer:

Lashawn

Step-by-step explanation:

333/222=1 1/2part salsa per egg - Lashawn

777/555= 1 2/5 part salsa per egg - Gilberta

1 1/2 is greater than 1 2/5

3 0

3 years ago