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Sophie [7]
3 years ago
7

Slove for x. 2x+34=64

Mathematics
2 answers:
Romashka [77]3 years ago
6 0

Answer:

\boxed{x = 15}

Step-by-step explanation:

=  > 2x + 34 = 64 \\  \\  =  > 2x = 64 - 34 \\  \\  =  > 2x = 30 \\  \\  =  > x =  \frac{30}{2}  \\  \\  =  > x = 15

blagie [28]3 years ago
5 0

Step-by-step explanation:

2x +34 =64

2x=30

X=30/2

X=15

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It’s larger median one ages the graphs looks bigger
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Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (
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Answers:

  • 10 people absent
  • 15 people working in the field only
  • See the below image for the venn diagram

=======================================================

Explanation:

  • 35 people are working in both places.
  • 50 work in the field or both, so 50-35 = 15 people work solely in the field.
  • 65 work in the office or both, so 65-35 = 30 people work solely in the office

So far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.

The remaining 90-80 = 10 people are absent.

The venn diagram is below.

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3 years ago
Josue tosses a coin and skins the spinner below. What are all the possible outcomes? Use H and T to represent heads and tails. F
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Tossing a coin.

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Let Tail be represented as T

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We can either get a tail or a heads.

It can be represented as = { H } or { T }

If a coin is tossed then the probability of getting a head is 50% and the probability of getting a tail is 50%

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How many edges does this figure have? 6, 8, 12, or 24? (Need help I have only 40 minutes!
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A larger survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most
Oksi-84 [34.3K]

Answer:

z=\frac{0.253 -0.24}{\sqrt{\frac{0.24(1-0.24)}{75}}}=0.264  

p_v =2*P(z>0.264)=0.792  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people said that blue is their favorite color is not differetn from 0.24 or 24% at 5% of significance.

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

X=19 represent the number of people said that blue is their favorite color

\hat p=\frac{19}{75}=0.253 estimated proportion of people said that blue is their favorite color

p_o=0.24 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion differs from 0.24 nor no.:  

Null hypothesis:p=0.24  

Alternative hypothesis:p \neq 0.24  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.253 -0.24}{\sqrt{\frac{0.24(1-0.24)}{75}}}=0.264  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>0.264)=0.792  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people said that blue is their favorite color is not differetn from 0.24 or 24% at 5% of significance.

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3 years ago
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