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Leni [432]
3 years ago
13

Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles a

re each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter.

Mathematics
2 answers:
seropon [69]3 years ago
8 0

Answer:

57 m

Step-by-step explanation:

masha68 [24]3 years ago
7 0
Diameter of the bigger semi-circle is 15 m
circumference of the bigger semi-circle = πd = 15π

diameter of the smaller semi-circle = 15 - 2(1.25) = 15 - 2.5 = 12.5 m
circumference of the smaller semi-circle = πd = 12.5π m

Total length of the segments between the two circles = 11(1.25) = 13.75 m

Total length of wrought iron used = 15π + 12.5π + 13.75 = 100 m
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For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test
Basile [38]

Answer:

a) p_v =P(Z>2.05)=1-P(z

b) p_v =P(Z>-1.84)=1-P(z

c) p_v =P(Z>0.4)=1-P(z

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: \mu=10

Alternative hypothesis: \mu >10

If the random variable is distributed like this: X \sim N(\mu,\sigma)

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

z_o=\frac{\bar X -\mu}{\sigma}

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

p_v =P(Z>2.05)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

p_v =P(Z>-1.84)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

p_v =P(Z>0.4)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say \alpha=0.05. For part a the p_v so then we can reject the null hypothesis at this significance level.

For part b the p_v>\alpha so then we FAIL to reject the null hypothesis at this significance level.

For part c the p_v>\alpha so again we FAIL to reject the null hypothesis at this significance level.

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3 years ago
-2/9 - (-3)<br><br><br>I Need Help
USPshnik [31]
2.7777777 repeating decimal
5 0
2 years ago
A number is chosen at random from 1 to 25 find the probability of selecting a number less than 4​
stira [4]

3/25 I hope I helped

7 0
3 years ago
Read 2 more answers
USLUIT il<br> Find x.<br> 45°<br> 30°
IceJOKER [234]

Answer:

111°

Step-by-step explanation:

  • All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.

  • Ignore the line cutting between 45° and the 30° and consider it as one triangle
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  • To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
  • Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
7 0
3 years ago
Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circl
torisob [31]
Please note that pi has just one value.  The only difference stems from round-off error when you don't use all of the digits following "3.14159 ... " to represent the value of pi.  The formula for circumference is C = 2 pi r, or C = pi d, 
where r=radius and d=diameter.

Circle A:  Diameter 9 inches and Circumference of 28.26 inches

If the diameter is 9 inches, then C = 28.26 inches = pi (9 inches).  Divide 28.26 inches by 9 inches.  Note that you MUST round off the ratio (pi) that you obtain, since 28.26 has 4 significant figures and 9 has just one.

28.26
------- = 3.14, but because 9 has just one significant figure, you must round 
    9           this 3.14 to just 3.


6 0
3 years ago
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