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tresset_1 [31]
3 years ago
10

Find the value of the variable in the isosceles trapezoid.

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0
X = 24 your welcome
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The probabilty that an event will occur 9/10 which of these best describes the likelihood of the event occurring A) unlikely B c
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The answer is (D) Likely

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Anton bakes 36 cookies. He gives cookies to each of his 3 friends.
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The percent, X , of shrinkage o n drying for a certain type of plastic clay has an average shrinkage percentage :, where paramet
never [62]

Answer:

a) t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744    

The degrees of freedom are given by:

df=n-1=45-1=44  

The critical value for this case is t_{\alpha}=1.68 since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

b) p_v =P(t_{(44)}>2.744)=0.0044  

Step-by-step explanation:

Information given

\bar X=18.4 represent the sample mean

s=2.2 represent the sample standard deviation

n=45 sample size  

\mu_o =17.5 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

Part a

We want to test if the true mean is higher than 17.5, the system of hypothesis would be:  

Null hypothesis:\mu \leq 17.5  

Alternative hypothesis:\mu > 17.5  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replacing we got:

t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744    

The degrees of freedom are given by:

df=n-1=45-1=44  

The critical value for this case is t_{\alpha}=1.68 since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

Part b

The p value would be given by:

p_v =P(t_{(44)}>2.744)=0.0044  

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4 years ago
The robotics team needs to purchase $350 of new equipment. Each of the x students on the team plans to fundraise and contribute
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How many people are there?
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A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet.
Nadusha1986 [10]

Answer: area of the path alone is 178.98 ft²

Step-by-step explanation:

Since the circular garden is surrounded by a circular path, two circles are formed.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the circular garden,

Radius = 8 ft

Area = 3.14 × 8² = 200.96 ft²

Considering the circular garden and the circular path together,

Radius = 8 + 3 = 11 ft

Area = 3.14 × 11² = 379.94 ft²

Area of the path alone is the circular garden and the circular path together - area of circular path

It becomes

379.94 - 200.96 = 178.98 ft²

5 0
3 years ago
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