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3 years ago

Solve the following equation for X: 1/2(5x+12)=2x-3 show your work

Mathematics

1 answer:

Debora [2.8K]3 years ago

5 0

1/2(5x + 12) = 2x - 3
5/2 x + 6 = 2x - 3
5/2 x - 2x = -3 - 6 = -9
5x = 2 x -9 = -18
x = -18/5

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Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury and the stan

liq [111]

Answer:

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

$\mu = 120, \sigma = 5.6$

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

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

$Z = \frac{121.4 - 120}{5.6}$

$Z = 0.25$

$Z = 0.25$ has a pvalue of 0.5987

X = 119.4

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

$Z = \frac{119.4 - 120}{5.6}$

$Z = -0.11$

$Z = -0.11$ has a pvalue of 0.4562

0.5987 - 0.4562 = 0.1425

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

8 0

3 years ago

Help needed <br> Will award brainliest

nirvana33 [79]

Q17:

one week = $560
52 weeks = 560 x 52 = $29120

Q18:

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Q19:

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3 0

3 years ago

What is the lateral area of the cone to the nearest whole number? The figure is not drawn to

Sveta_85 [38]

Answer:

The lateral surface area of the cone is $25120\ m^2$ .

Step-by-step explanation:

We have.

Height of a cone is 60 m

Diameter of a cone is 10 m

Radius, r = 80 m

The lateral surface area of a cone is given by :

$A=\pi rl$

l is slant height of the cone,

$l=\sqrt{60^2+80^2} =100\ m$

Plugging all values in above formula,

$A=3.14\times 80\times 100\\\\A=25120\ m^2$

So, the lateral surface area of the cone is $25120\ m^2$ .

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2960 ft.........is the difference between -40ft and 3000ft

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3 years ago