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BaLLatris [955]
3 years ago
6

Please help please ASAP please help ASAP please ASAP ASAP

Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0

Answer:

2.79

Step-by-step explanation:

Given

With reference angle 21°

hypotenuse (h) = 3

base (b) = x

Now

cos 21° = b / h

0.93 = x / 3

x = 0.93 * 3

x = 2.79

Hope it will help :)

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A cylinder has a base diameter of 16in and a height of 5in. What is its volume in cubic
Scrat [10]

Answer:

  • 1004.8 in³

Step-by-step explanation:

d = 2r => r = d/2 = 16in/2 = 8 inches

V = Ab×h

= π·r²×h

= 3.14·(8in)²×5in

= 1004.8 in³

6 0
3 years ago
Read 2 more answers
The square and the triangle have equal perimeters.
Tamiku [17]
I think not because a square has four sides and a triangle has three.
8 0
3 years ago
In a recent Super Bowl, a TV network predicted that 50 % of the audience would express an interest in seeing one of its forthcom
coldgirl [10]

Answer:

z= -0.968

We can conclude that we fail to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that  they would watch one of the television shows not differs from 0.5 or 50% .  

Step-by-step explanation:

1) Data given and notation n  

n=106 represent the random sample taken

X=48 represent the people who says that  they would watch one of the television shows.

\hat p=\frac{48}{106}=0.453 estimated proportion of people who says that  they would watch one of the television shows.

p_o=0.5 is the value that we want to test

\alpha represent the significance level  

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 50% of people who says that  they would watch one of the television shows.:  

Null hypothesis:p=0.5  

Alternative hypothesis:p \neq 0.5  

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.

3) Calculate the statistic  

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

z=\frac{0.453 -0.5}{\sqrt{\frac{0.5(1-0.5)}{106}}}=-0.968  

4) Statistical decision  

P value method or p value approach . "This method consists on 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 is not provided, but we can assume \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  

So based on the p value obtained and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we fail to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that  they would watch one of the television shows not differs from 0.5 or 50% .  

6 0
3 years ago
Evaluate each expression for the given value(s)
Butoxors [25]

Answer:

-16

Step-by-step explanation:

Substitute the values into the equation

=  \frac{ ({ - 12 + 4}^{2}) }{ - 4}  \\  = \frac{ {( - 8)}^{2} }{4}  \\  = \frac{64}{4}  \\  =  - 16

<h2><em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>

4 0
3 years ago
As more and more people get their news online, the subscriptions to the Dorchester Daily has declined over the past years.
atroni [7]

Answer:

Step-by-step explanation:

The function s(x)=0.9(.82)^x models the number of subscription in tens of thousands where x represents the number of years since the trend has been observed.

s(x) represents the number of subscriptions to the Dorchester Daily in a given year.

0.9 in ten thousands represents the initial number of subscriptions to the Dorchester Daily in a given year.

0.82 represents the rate at which the number of number of subscriptions to the Dorchester Daily is declining. The rate in percentage is 100 - 82 = 12% each year.

x represents the number of years since the trend has been observed.

3 0
3 years ago
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