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Evgen [1.6K]
3 years ago
9

Is the point P (2,8) on the inside or outside of the circle described with equation x^2+y^2=100?

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Points (x,y) on the circle satisfy x^2+y^2=100.

Points inside the circle satisfy x^2+y^2.

Points outside the circle satisfy x^2+y^2>100.

We have

2^2+8^2=4+64=68

so the point (2, 8) lies inside the circle.

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thomas has 6.35 in dimes and quarters the number of dimes is three more than three times the number of quarters how many quarts
Feliz [49]

Answer:

11 quarters

Step-by-step explanation:

If Thomas ignores the extra 3 dimes, he can arrange his coins in groups of 3 dimes and 1 quarter, each group valued at 55¢. It takes

... 6.05/0.55 = 11

groups to bring the total value to the $6.05 remaining after ignoring the extra dimes.

Thomas has 11 quarters and 36 dimes.

6 0
3 years ago
The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour. (a-1) At α = .05 i
fenix001 [56]

Answer:

Null hypothesis:\mu \geq 250        

Alternative hypothesis:\mu < 250  

p_v =P(t_{15}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

Step-by-step explanation:

1) Data given and notation        

\bar X=510 represent the mean for the sample    

s=50 represent the standard deviation for the sample  

n=16 sample size        

\mu_o =530 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)    

2) State the null and alternative hypotheses.        

We need to conduct a hypothesis in order to determine if the claim thet the handle on average is 530 bags per hour:      

Null hypothesis:\mu \geq 530        

Alternative hypothesis:\mu < 530        

We don't know the population deviation and the sample size is lees than 30, so for this case 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{\sigma}{\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".    

3) Calculate the statistic        

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

t=\frac{510-530}{\frac{50}{\sqrt{16}}}=-1.60        

4) Calculate the critical value

We need to begin calculating the degrees of freedom

df=n-1=16-1=15

The critical value for this case would be :

P(t_{15}

The value of a that satisfy this on the normal standard distribution is a=-1.75 and would be the critical value on this case zc=-1.75

5) Calculate the P-value        

Since is a one-side upper test the p value would be:        

p_v =P(t_{15}    

6) Conclusion        

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

8 0
3 years ago
Can somebody help me?
Black_prince [1.1K]

Answer:

C) v≤-5

Step-by-step explanation:

4v\leq -20

Divide each side by 4,

v\leq -5

5 0
3 years ago
What is the reciprocal of 9/10 as a mixed numeral?
Alika [10]
Reciprocals are technically flipped fractions. So it would be 10/9. 9 goes into ten one time, so it's 1 1/9.
5 0
3 years ago
Wayne is putting tools into a toolbox, one at a time. He wants to include a pair of pliers, a
Nikolay [14]

Answer:

5 different orders. hope this help

6 0
3 years ago
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