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Rainbow [258]
2 years ago
8

3. George is at the craft show selling homemade ice cream. He must pay

Mathematics
1 answer:
elena-s [515]2 years ago
4 0

Answer:

no 146.5 > 145

Step-by-step explanation:

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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

 

6 0
3 years ago
WHY must the same operation be performed on both sides of an equation? ​
lys-0071 [83]

Answer:When you are given a problem, the two sides are equal, so they are equally weighted. As long as you do the same thing on both sides, they remain the same weight. The only way that one side can become "more weight" on a side is if you make a math mistake, and thus the answer would not satisfy the original equation

Step-by-step explanation:looked it up... have a good day!

8 0
3 years ago
Please help me<br><br> ( - 3 ) ( a + x ) , if a + 8, x = - 10
BARSIC [14]

Answer:

6

Step-by-step explanation:

-3 x (8 + [-10]) =

-3 x (8 - 10) =

-3 x -2 =

6

HOpe that helps!

7 0
3 years ago
Read 2 more answers
The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in ast
Oxana [17]

Answer:

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at
spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)

What is u + v in component form?

u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)

⟨-5, -1⟩ is the answer.

3 0
3 years ago
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