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mario62 [17]
3 years ago
13

The fifth grade classes at Brookfield school used five identical buses to go on a field trip

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0
Total no. of seats:

40×5=200

4 buses were filled- 40 × 4= 160

fifth bus was 4/5 filled- 32 seats

1/8 of total passengers is adults.

192 ÷ 8 = 24
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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
Help me please with this
OverLord2011 [107]

9514 1404 393

Answer:

  (a)  plane NOU

Step-by-step explanation:

The points identified on plane <em>L</em> are {M, N, O, U}. All but point U are on the same line.

To identify the plane we need to name 3 non-collinear points. U must be one of them. The other two could by any two from the set {M, N, O}.

One possible name for plane <em>L</em> is plane NOU.

5 0
3 years ago
what is the equation of a line that passes through the point (6,1) and is perpendicular to the line whose equation is y=2x-6?
alexandr402 [8]

Answer:

y = -(1/2)x + 4

Step-by-step explanation:

Use the standard form on an equation:  y = mx + b

A line that is perpendicular has a slope that is the opposite reciprocal of the other line.  We also have a point (x, y) that is on the line, so our equation begins as..

1 = -(1/2)(6) + b           We must solve for b (  -1/2 is the opposite reciprocal of 2)

1 = -3 + b

4 = b  

so our equation is

y = -(1/2)x + 4

3 0
3 years ago
Read 2 more answers
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Aleksandr-060686 [28]

Answer:

C

Step-by-step explanation:

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5 0
3 years ago
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Simplify √ 105 <br> A. 2√ 7 <br> B. √ 42 <br> C. 2√ 3 <br> D. √ 105
IrinaVladis [17]

√105 is written in simplest form already.

The answer would be D. √105

7 0
3 years ago
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