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Aleonysh [2.5K]
2 years ago
14

I need help with this !!

Mathematics
1 answer:
Stolb23 [73]2 years ago
4 0

Answer:

  -27

Step-by-step explanation:

It looks like you're trying to evaluate ...

  \displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}

__

The relevant rules are ...

  b^(log_b(x) = x

  log(a)+log(b) = log(ab)

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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
234.A<br><br> 124/B<br><br> 136.B<br><br> 156.D
makvit [3.9K]
I think it’s D. 156 degrees
7 0
3 years ago
A figure can be covered by 28 unit squares,without any gaps or overlaps.what is the area of the figure?
Tom [10]
Remember that the area of a square is just one of its sides squared. A=s^2
where 
A is the area of the square 
s is one of the sides of the square

Unit square is a square whose sides have length 1, so lets use our formula to find the volume of one unit square:
A=s^2
A=1^2
A=1
We now know that each one of the squares has area 1 unit squared. Since there are 28 unit square in our figure, we are going to multiply the area of a unit square by 28 to find the area of our figure:
Area of the figure=28(1)=28 units squared 

We can conclude that the area of the figure is 28 units squared.
7 0
3 years ago
Let ∠D be an acute angle such that cosD=0.33. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree
tia_tia [17]

Answer:

.3

Step-by-step explanation:

.33 rounded equals .3

6 0
3 years ago
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A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the f
earnstyle [38]
36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1)
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