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Mnenie [13.5K]
3 years ago
15

Which statements are true about the ordered pair (10, 5) and the system of equations? {2x−5y=−5x+2y=11 Select each correct answe

r. The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true. The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true. The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false. The ordered pair (10, 5) is a solution to the system because it makes both equations true.
Mathematics
1 answer:
lozanna [386]3 years ago
8 0
The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.

The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.

 Those are correct. In k12 and got 100% on the exam
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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
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7 cm and 2 cm

Step-by-step explanation:

the other possible sides add up to more than 13, therefore it cannot be possible to make a triangle with them. Triangle Inequality Theorem.

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Which expression is equivalent to -16 - 7?
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Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

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P(x) = x2 – 1 and q(x)=5(x-1), which expression is equivalent to (p – q)(x)?
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A cell phone manufacturer claims that the average battery life of its newest flagship smartphone is exactly 20 hours. Javier bel
adelina 88 [10]

Answer:

(B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours.

(C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean battery life of the smartphone is less than 20 hours.

Step-by-step explanation:

1) Data given and notation    

\bar X=19.5 represent the battery life sample mean  

s=1.9 represent the sample standard deviation    

n=33 sample size    

\mu_o =20 represent the value that we want to test  

\alpha=0.05 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 check if the mean battery life is less than 20 :    

Null hypothesis:\mu \geq 20    

Alternative hypothesis:\mu < 20    

Since we don't know the population deviation, 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".    

3) Calculate the statistic    

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

t=\frac{19.5-20}{\frac{1.9}{\sqrt{33}}}=-1.51    

4) P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=33-1=32

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

p_v =P(t_{(32)}    

5) 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 have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the average battery life it's not significantly different less than 20 hours at 5% of signficance. If we analyze the options given we have:

(A) Reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. FALSE, we FAIL to reject the null hypothesis.

(B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. TRUE, we fail to reject the null hypothesis that the mean would be 20 or higher .

(C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean battery life of the smartphone is less than 20 hours.  TRUE, we FAIL to reject the null hypothesis that the mean is greater or equal to 20 hours, so we reject the alternative hypothesis that the mean is less than 20 hours.

(D) There is enough evidence at the α=0.05 level of significance to support the claim that the true population mean battery life of the smartphone is not equal to 20 hours. FALSE the claim is not that the mean is different from 20. The real claim is: "Javier believes the mean battery life is less than 20 hours".

5 0
3 years ago
Check For Understanding
adelina 88 [10]

Answer:

Distance between A ----> B : 2 cm

B ---> C: 3 cm : 600 meters

A----> C: 4 cm

3:600 meters scaled

So its 200 meters per every 1 cm!

From A to B : 400 meters

From B to C : 600 meters

Frok C to A: 800 meters

Therefore we sum 400+600+800= 1800 meters

8 0
2 years ago
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