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Paladinen [302]
3 years ago
6

Decrease 50 by 60% please

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

50, percentage decreased by 60% (percent) of its value = 20

Step-by-step explanation:

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Evaluate the expression x ÷ y for x = 8 and y = 16.
daser333 [38]

Answer:

Step-by-step explanation:

hello :

x ÷ y for x = 8 and y = 16 means : 8/16 = 8/(2×8) = 1/2

7 0
3 years ago
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Veronika [31]
It’s 12

On the first side (smaller triangle/ ABC) the give you one side that equals 4 and on the next triangle (bigger triangle/ DEF) it’s 8 meaning you’re going to multiply each corresponding side by 2
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1 year ago
Which of the following angles is coterminal with -4pi/3?<br><br> -2pi/3<br> -pi/3<br> pi/3<br> 2pi/3
PolarNik [594]
Coterminal angles are angles that end in the same position on a unit circle.

We can find angles that are coterminal to -4pi/3 by adding and subtracting 2pi.

-4pi/3 + 2pi = 2pi/3

The answer is 2pi/3
4 0
3 years ago
Seven cereal bars are shared equally by 3 students. How many does each student receive?I really need help and my teacher won't h
Katarina [22]

Answer:

Each student gets 2 1/3

Step-by-step explanation:

So you would divide 7 by 3, which you can't...so 6 divided by 3 is 2, and when you split the last one into thirds you can each have 1/3. Add the sections together, and each person gets 2 1/3

7 0
2 years ago
Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636​, the central limit theorem appl
lakkis [162]

Answer:

a) \bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1

b) P(\bar X >101)=1-P(\bar X

c) P(\bar X

Step-by-step explanation:

Previous concepts

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".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:  

X \sim N(\mu=100,\sigma=6)  

And let \bar X represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:  

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})  

a. What are the mean and variance of the sampling distribution for the sample​ means?

\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1.2^2=1.44

b. What is the probability that x overbarxgreater than>101

First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:  

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

If we apply this formula to our probability we got this:  

z=\frac{101-100}{\frac{6}{\sqrt{25}}}=0.833  

And we want to find this probability:

P(\bar X >101)=1-P(\bar X

On this last step we use the complement rule.  

c. What is the probability that x bar 98less than

First we can to find the z score for the value of 98.

z=\frac{98-100}{\frac{6}{\sqrt{25}}}=-1.67  

And we want to find this probability:

P(\bar X

5 0
3 years ago
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