Which is greater 0.64 or 9/10??

According to a recent poll, 25% of adults in a certain area have high levels of cholesterol. They report that such elevated le

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Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\for\ a \ sample(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\where\ x=raw\ score,\mu=mean, \sigma=standard deviation$

Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL

a) For x < 210:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{210-260}{35/\sqrt{49} } =-10$

From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001

b) For x > 205:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{205-260}{35/\sqrt{49} } =-11$

For x < 215:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{215-260}{35/\sqrt{49} } =-9$

P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009

c) For x < 200:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{200-260}{35/\sqrt{49} } =-12$

From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001

d) For x > 222:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{222-260}{35/\sqrt{49} } =-7.6$

From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999

7 0

3 years ago

Complete the statement to describe the expression (a+b+c)(d+e+f)

kherson [118]

Answer:

The given expression consists of 2 factors, and each factor contains 3 terms.

Step-by-step explanation:

Given the expression (a+b+c)(d+e+f)

Factors are parts of expression that are connected by multiplication. we are multiplying (a+b+c) and (d+e+f) so we said (a+b+c) and (d+e+f) are factors of the expression.

Hence, there are 2 factors in given expression.

A mathematical expression contains numbers, variables and operators joined by addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are known as terms.

In each factor (a+b+c) and (d+e+f) three terms are connected by addition. Hence, there are 3 terms in both the factors.

7 0

3 years ago

A contractor has installed a silt fence around an area that is semi-circular and level to prevent soil from the construction sit

monitta

We know is a semi-circle, so let us use the equation for the area of a circle instead, and then, half it
so, the diameter is 1100, meaning the radius is half that, or 550

so... $\textit{area of a circle}=\pi r^2\qquad r=radius=\frac{diameter}{2}=\frac{1100}{2}=550
\\ \quad \\
\textit{area of a semi-circle}=\cfrac{\pi r^2}{2}\impliedby \textit{enclosed acres}
\\ \quad \\
\textit{circumference of a circle}=2\pi r
\\ \quad \\
\textit{circumference of a semi-circle}=\cfrac{2\pi r}{2}\impliedby \textit{linear feet of fence}$