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Vadim26 [7]
3 years ago
10

What is the volume of the cone to the nearest tenth?

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
V=\dfrac{1}{3}\pi r^2H\\\\2r=22m\to r=11m;\ H=12m\\\\V=\dfrac{1}{3}\pi\cdot11^2\cdot12=\pi\cdot121\cdot4=484\pi\ (m^3)\\\\V\approx484\cdot3.14=1,519.76\approx1,519.8\ (m^3)\\\\Answer:1,520.5\ cm^3
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Use the long division method to find the result when<br> 3x^3 + 13x^2 + 11x + 1 is divided by x+1
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Answer:

duster f vying FE65820 crystal cyst

7 0
2 years ago
Eighty-eight percent of all people who try to do this ratio and proportion
Inessa [10]

Answer: 61 people have worked on this worksheet so far.

Step-by-step explanation:

Given: 80% people try to do this ratio and proportion  worksheet find they need some help with the problems.

Let x be the total number of people worked on this worksheet so far.

People need some help with the problems. =80% of x = 0.80x

As per given,

0.80x=49

\Rightarrow x=61.25\approx61

Hence, 61 people have worked on this worksheet so far.

8 0
3 years ago
4.One attorney claims that more than 25% of all the lawyers in Boston advertise for their business. A sample of 200 lawyers in B
AleksAgata [21]

Answer:

z=\frac{0.315 -0.25}{\sqrt{\frac{0.25(1-0.25)}{200}}}=2.123  

p_v =P(Z>2.123)=0.0169  

The p value obtained was a very low value and using 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 lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .  

Step-by-step explanation:

1) Data given and notation  

n=200 represent the random sample taken

X=63 represent the lawyers had used some form of advertising for their business

\hat p=\frac{63}{200}=0.315 estimated proportion of lawyers had used some form of advertising for their business

p_o=0.25 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 more than 25% of all the lawyers in Boston advertise for their business:  

Null hypothesis:p\leq 0.25  

Alternative hypothesis:p > 0.25  

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{0.315 -0.25}{\sqrt{\frac{0.25(1-0.25)}{200}}}=2.123  

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>2.123)=0.0169  

The p value obtained was a very low value and using 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 lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .  

8 0
3 years ago
Please help me please help me if you don't know gently move your hand
Anna11 [10]

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

4 0
2 years ago
Read 2 more answers
What is 4xy-3xz+y-2x-5=
netineya [11]

Answer:

xz+y-2x-5

Step-by-step equation

You can only combine like terms

3 0
2 years ago
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