4 years ago

Can you help me with question 8?

Mathematics

1 answer:

IrinaVladis [17]4 years ago

6 0

1/4 probablity......................................

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Problem PageQuestion Calcium levels in people are normally distributed with a mean of mg/dL and a standard deviation of mg/dL. I

SIZIF [17.4K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The calcium level that is the borderline between low calcium levels and those not considered low is $c = 8.68$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 9.5\ mg/dL$

The standard deviation $\sigma = 0.5 \ mg/dL$

The proportion of the population with low calcium level is $p =$ 5% = 0.05

Let X be a X random calcium level

Now the P(X < c) = 0.05

Here P denotes probability

c is population with calcium level at the borderline

Since the calcium level is normally distributed the z-value is evaluated as

$P(Z < \frac{c - \mu}{\sigma } ) = 0.05$

The critical value for 0.05 from the standard normal distribution table is

$t_{0.05} = -1.645$

=> $\frac{c - \mu}{\sigma } = -1.645$

substituting values

$\frac{c - 9.5}{0.5 } = -1.645$

=> $c - 9.5 = -0.8225$

=> $c = 8.68$

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4 years ago

Write the general form of equation (x-8)^2 +(y+2)^2 =1

SpyIntel [72]

(x-h)^2 + (y-k)^2 = r^2
where r is the radius of the circle, 
and h,k are the coordinates of its center;

( x - 8 )^2 + ( y - ( - 2 ) )^2 = 1 ^2 ;
r = 1 ;
h = 8 ; k = - 2.

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3 years ago

What is the sum of the exterior angles? 105 360 145 180

KIM [24]

Sum of exterior angles is 360 degrees

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3 years ago

If you get 1 dollar every 2 week how many weeks will it take to get 800

Alchen [17]

$1 = 2 weeks

Multiply by 800:

$1 x 800 = 2 x 800 weeks

$800 = 1600 weeks

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3 years ago

Ruth sees 11 flags in the park. Juno sees 4 more flags than Ruth. Sandra sees 9 more flags than Juno. How many flags does Sandra

Irina-Kira [14]

First you add 11+4 which equals 15 then you add 15+9 which equals 24. So Sandra sees 24 flags

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4 years ago