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zloy xaker [14]
3 years ago
15

Which expressions are equivalent to 3^−9/3^−6?

Mathematics
2 answers:
Semmy [17]3 years ago
7 0
The answer is
1/3^3
And
1/27
And
3^-3
Dominik [7]3 years ago
5 0
The answer is 1,3,6
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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
Celine's book club read 42 books over 14 months. How many total months will it take them to read 57 books? Solve using unit rate
miskamm [114]

Answer:

Step-by-step explanation:

42/14 = 57/x

42x = 57*14

42x = 798

x = 19 months

4 0
3 years ago
Tammy made a 6-ounce milkshake. Two-thirds of the milkshake was ice cream. How many ounces of ice cream did
Alchen [17]

Answer: 4 ounces

Step-by-step explanation:

6 * (2/3) = 12/3 = 4 ounces

5 0
3 years ago
For the given angle 0, identify the reference angle, _
ankoles [38]

Answer:

π\6

Step-by-step explanation:

The reference angle is the smallest angle measured from the terminal side of the angle (where the angle ends) to the x axis. The reference angle is an acute angle (i.e less than 90° or π/2)

For O = 11π/6 = 1.833π

1.833π is in the fourth quadrant between 3π/2 radians and 2π radians. Since it is in the fourth quadrant, the reference angle is given as:

reference angle = 2π - 11π/6 = π\6

5 0
3 years ago
Shirley cuts a 133 m long rope into several pieces of length 3 1/2 m each. How many equal pieces of the rope does she get
liraira [26]


38

explanation:
133 divided by 3.5
5 0
3 years ago
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