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kipiarov [429]
3 years ago
13

Find the diameter of a circle with a circumference of length 26cm round to the nearest tenth

Mathematics
2 answers:
kondaur [170]3 years ago
7 0
8.3cm hope this helps your with your work
telo118 [61]3 years ago
6 0

Answer:

8.3 cm

Step-by-step explanation:

The equation 2πr is used to find circumference. To find the diameter, you will first need to find the radius, and in order to find the radius, you need to isolate "r" in the equation.

2πr = 26

Divide 2 for both sides.

πr = 13

Divide π (I am assuming π is 3.14) for both sides.

r = 4.140127389

Our radius is about 4.140127389. To find the diameter, multiply your radius by 2. This gives us 8.276057041, which rounds to 8.3 cm.

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A card is drawn from a standard deck of 52 cards. Find the probability of drawing red card or a face card
nata0808 [166]

Answer:

12/104 or around 11% chance

Step-by-step explanation:

This is because there is a total of 26 red cards (1/2) and a total of 12 face cards (12/52). So, you multiply 1/2 x 12/52 and get 12/104 or around 11% chance

8 0
3 years ago
Is x-1 a factor of x^5+2x^2-1
vazorg [7]

Answer: i think no cuz f(1)=2 but i am not sure

Step-by-step explanation:

5 0
3 years ago
Use this information to answer the questions. University personnel are concerned about the sleeping habits of students and the n
Oksanka [162]

Answer:

z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097  

p_v =P(Z>2.097)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of  students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

Step-by-step explanation:

1) Data given and notation

n=377 represent the random sample taken

X=209 represent the students reported experiencing excessive daytime sleepiness (EDS)

\hat p=\frac{209}{377}=0.554 estimated proportion of students reported experiencing excessive daytime sleepiness (EDS)

p_o=0.5 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)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, 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.

3) Calculate the statistic  

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

z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097  

4) 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 right tailed test the p value would be:  

p_v =P(Z>2.097)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of  students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

6 0
3 years ago
Quadrilateral ABCD is a square. if m
olganol [36]
The answer is B. 18

Explanation:

We know that a square has 4 right angles. A right angle is 90°.

5x° = 90°
5(18)° =90°
90°=90°

Hope this helps some
4 0
3 years ago
I will give BRAINLIEST to whoever is correct.
attashe74 [19]
28/11.2 = 2.5

since they are similar and openly stated as parrallelograms, you know that they have a scale of the longest edge of EFGH to the longest edge of JKLM
5 0
3 years ago
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