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velikii [3]
3 years ago
15

2. Bryan and Lori were each given the same pair of numbers. Bryan's description of the two numbers was: The larger number is 3 m

ore than three times the smaller number, s. Lori's description of the two numbers was: Five times the smaller number decreased by 7 is the larger number. Which equation represents this situation?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

5 and 18

Step-by-step explanation:

The two numbers according to Bryan are x and 3x+3. According to Lori they are x and 5x-7. So we know that x+3x+3=x+5x-7. x and x cancel out. 3 and 7 add to 10. 5x-3x=2x. So 2x=10. X=5 and the other number is 18.

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Bryce randomly chooses a card from a standard deck of 52 containing 13 of each suit. He records the suit of each card in the tal
Nikolay [14]

Answer:

52 cards  / 4 suits  = 13 cards of each suit.

Theoretically picking a heart would be 13/52 = 1/4 probability.

Experimentally she picked 15 hearts out of 80 total tries. for a 15/80 = 3/16 probability, which is less than the theoretical probability.

1/4 - 3/16 = 1/16

The answer is A.

Step-by-step explanation:

The right answer is A - The theoretical probability of choosing a heart is StartFraction 1 over 16 EndFraction greater than the experimental probability of choosing a heart

3 0
3 years ago
What is the slope of x+y=7,x-y=8
slava [35]

Step-by-step explanation:

The slop is M= 1÷x-y-xy

5 0
3 years ago
Does going to a private university increase the chance that a student will graduate with student loan debt? A national poll by t
Snowcat [4.5K]

Answer:

Null hypothesis:p \leq 0.69  

Alternative hypothesis:p > 0.69  

Step-by-step explanation:

1) Data given and notation

n=1500 represent the random sample taken

X represent the number of graduates that had student loan debt in 2014

\hat p=0.71 estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

p_o=0.69 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 if there was a significant increase in the proportion of student loan debt for public and nonprofit colleges in 2014 respect to the value of 2013.:  

Null hypothesis:p \leq 0.69  

Alternative hypothesis:p > 0.69  

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{0.71 -0.69}{\sqrt{\frac{0.69(1-0.69)}{1500}}}=1.675  

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 assumed is \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>1.675)=0.047  

If we compare the p value obtained and using the significance level assumed \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 adults that said that it is morally wrong to not report all income on tax returns  is not significantly higher than 0.69.  

5 0
3 years ago
Examine ^ABC shown below -
Lunna [17]
The answer is 28.8 (the first option)
5 0
2 years ago
Read 2 more answers
Will give branliest answer if correct!!!! JUST 3 QUESTIONS YOU HAVE TO ANSWER.
Orlov [11]
One is A
two is 7
three is t = 5W
7 0
3 years ago
Read 2 more answers
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