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Leto [7]
3 years ago
8

How do I simplify 5logbase5^x

Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

i am so sorry i dont get the question

Step-by-step explanation:

You might be interested in
If Upper X overbar equals 62​, Upper S equals 8​, and n equals 36​, and assuming that the population is normally​ distributed, c
marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=62 represent the sample mean

\mu population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size  

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=36-1=35

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that t_{\alpha/2}=2.72

Now we have everything in order to replace into formula (1):

62-2.72\frac{8}{\sqrt{36}}=58.373    

62+2.72\frac{8}{\sqrt{36}}=65.627    

So on this case the 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0
3 years ago
In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. The side lengths o
ycow [4]

Answer:

A

Step-by-step explanation:

In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. This altitude divides the triangle into two right triangles ADC and BDC. In these triangles,

  • \angle CBD\cong \angle ACD\cong \angle CBA
  • \angle DCB\cong \angle DAC\cong \angle BAC

So,

\triangle ABC\sim \triangle CBD\sim \triangle ACD

1. From the similarity \triangle ABC\sim \triangle CBD, you have

\dfrac{AB}{BC}=\dfrac{BC}{BD}\\ \\\dfrac{c}{a}=\dfrac{a}{s}

2. From the similarity \triangle ABC\sim \triangle ACD, you have

\dfrac{AB}{AC}=\dfrac{AC}{AD}\\ \\\dfrac{c}{b}=\dfrac{b}{r}

Hence, option A is true

5 0
3 years ago
PLEASE HELPPPP!!!!!!!
jek_recluse [69]

Answer:

the length between them is 4

Step-by-step explanation:

from Q - T

both are at -9 so its a straight line.

the difference between -2 and 2 is 4

-2 , -1, 0, 1, 2,

8 0
3 years ago
Read 2 more answers
What is the diameter, radius, r2, and circumference?<br> 3 cm
Allushta [10]

Answer:

see below

Step-by-step explanation:

given:  

radius of a circle = 3cm

find:

1. diameter

2. radius

3. r²

1) diameter = twice the radius = 2 r = 2 (3) = 6 cm

2) radius = 3 cm

3) r² = 3² = 9 cm

8 0
3 years ago
I need help with 3 problems of Properties of Signed Numbers somebody please help me
Shalnov [3]
1. 2/3 - (1/4)*(4/9)
     2/3-4/36
     24/36-4/36
     20/36 also same as 4/9 (D)


2. It's B. (-3*(2*7)=(-3*2)*7

3. -4+(-6)*(-3)
     -4+18
      -14 (b)


7 0
3 years ago
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