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USPshnik [31]
3 years ago
7

Find the missing angle measure in ABC.  A = 118°, B = 23°, C = ____°

Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0
118 + 23 = 141

180 = Triangle

180 - 141 = 39

39 is the answer
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Kathy used 15 ounces of chocolate in her cookies. Cindy used 15% more chocolate in her cookies. How many ounces did Cindy use? (
MaRussiya [10]
Cindy used 17.25 because 15 × .5 = 2.25 and if you add it to 15 ypu get 17.25
5 0
3 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
Express cos I as a fraction in simplest terms
quester [9]
Cos I = 16/34 = 8/17
3 0
2 years ago
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Dan saved twice as much as Brett. Maria saved $60 more than Brett. If they saved $600 altogether, how much did Maria save?
givi [52]
Setting it up, we have Dan + Bret + Maria all saving 600.00
Dan = 2B
Bret = B
Maria = B+60

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Dan = 2(135) = 270
Brett = 135
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5 0
3 years ago
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What is the y-intercept of this graph?<br> A. 0<br> B. 2<br> C. 4<br> D. 8
WITCHER [35]

Answer: 0

Step-by-step explanation:

The line runs through the coordinate (0,0), rather than starting at (0,2), (0,4), or (0,8).

Always remember that you read coordinates as (x,y) which..

X is how many spaces right or left

Y is how many spaces up or down.

8 0
3 years ago
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