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Elodia [21]
3 years ago
14

Define acute, right angle, obtuse, straight angle, reflex​

Mathematics
2 answers:
vova2212 [387]3 years ago
5 0

Answer: here

Step-by-step explanation:

Acute Angle - An angle less than 90 degrees. Right Angle - An angle that is exactly 90 degrees. Obtuse Angle - An angle more than 90 degrees and less than 180 degrees. Straight Angle - An angle that is exactly 180 degrees. Reflex Angle - An angle greater than 180 degrees and less than 360 degrees.

Elden [556K]3 years ago
4 0

Answer:

An Acute angle is an angle less than 90 degrees

An obtuse angle is an angle greater than 90 degrees

A right angle is an angle that is exactly 90 degrees

A straight angle is an angle that is exactly 180 degrees

A reflex is an angle greater than 180 degrees but less than 360 degrees

Step-by-step explanation:

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Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to
attashe74 [19]

Answer:

a) Null hypothesis:\mu \leq 30.2  

Alternative hypothesis:\mu > 30.2  

b) X \sim N(\mu=32.12, \sigma=4.83)

And the distribution for the random sample is given by:

\bar X \sim N(\mu=32.12, \frac{\sigma}{\sqrt{n}}=\frac{4.83}{\sqrt{50}}=0.683)

c) t=\frac{32.12-30.2}{\frac{4.83}{\sqrt{50}}}=2.81    

p_v =P(t_{(49)}>2.81)=0.0035  

d) If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly higher than 30.2.  

e) The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct. And for this case is a value to accept or reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation  

\bar X=32.12 represent the sample mean  

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =30.2 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

a. Define the parameter and state the hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 30.2 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \leq 30.2  

Alternative hypothesis:\mu > 30.2  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

b. Define the sampling distribution (mean and standard deviation).

Let X the random variable who represent the variable of interest. And we know that the distribution for X is:

X \sim N(\mu=32.12, \sigma=4.83)

And the distribution for the random sample is given by:

\bar X \sim N(\mu=32.12, \frac{\sigma}{\sqrt{n}}=\frac{4.83}{\sqrt{50}}=0.683)

c. Perform the test and calculate P-value

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{32.12-30.2}{\frac{4.83}{\sqrt{50}}}=2.81    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=50-1=49  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(49)}>2.81)=0.0035  

d. State your conclusion.

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly higher than 30.2.  

e. Explain what the p-value means in this context.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct. And for this case is a value to accept or reject the null hypothesis.

6 0
3 years ago
The drill team at Hill Middle School made 120 spirit pins to sell for a fundraiser. After the fundraiser, the team had 18 pins l
Marizza181 [45]

no 1) is 85%

no 2) is 32 - 80 = -48

3 0
3 years ago
What is 720 degrees converted to radians​
PtichkaEL [24]
720 degrees = 12.566 radians
6 0
3 years ago
Read 2 more answers
50% of 80 solve pls show working<br>pls I know it just try working it​
Eduardwww [97]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{40}}}}}

Step-by-step explanation:

\sf{50 \: \% \: of \: 80}

To convert the percent into a fraction , divide it by 190 and remove the % symbol. Then , Simplify the fraction to its lowest term.

⇒\sf{ \frac{50}{100}  \times 80}

⇒\sf{ \frac{1}{2}  \times 80}

Divide 80 by 2

⇒\sf{40}

Hope I helped!

Best regards!!

5 0
3 years ago
Read 2 more answers
Find the midpoint M of the line segment joining the points P = (-8, 3) and Q = (-2, -7).
Gnom [1K]

Answer:

Step-by-step explanation:

Let (x,y) be midpoint of P(3,4) & Q(5,−2)

Midpoint formula for two points (a,b) and (c,d) is

(x,y) =(

2

a+c

​

,

2

b+d

​

).

x=

2

3+5

​

=4

y=

2

4−2

​

=1

∴   (x,y)=(4,1)

7 0
2 years ago
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