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dlinn [17]
3 years ago
6

Jade took a math test with 20 questions is worth an equal number of points. The test is worth 100 points in total. Write an equa

tion that can be used to calculate jade's score based on the number of questions she got right on the test.
Mathematics
1 answer:
Alina [70]3 years ago
5 0

Answer:

Jade's\,score=5*right\,answers

Step-by-step explanation:

Because all the questions have the same point, we can find the weight (value) of each question dividing the total points by the total number of answers questions:

\frac{100}{20}= 5

Now with the weight of each question the only thing we should to do is to multiply it by the number of the questions she got right:

Jade's\,score=5*right\,answers

Let check if our equation works, if Jade got all the answers right, we expect she got a 100 score. Let verify on the equation

Jade's\,score=5*(20)=100, that's what we expected

If she got 10 right answers, we expect 50 score and if she got 0 right answers, we expect 0 score, let check again:

Jade's\,score=5*(10)=50

Jade's\,score=5*(0)=0

Again, we obtain the expected scores, so we can conclude our equation works.

 

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The CEO of the Jen and Benny's ice cream company is concerned about the net weight of ice cream in their 50 ounce ice cream tubs
MissTica

Answer:

t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025  

We need to find the degrees of freedom given by:

df = n-1= 26-1 = 25

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

p_v =P(t_{25}>1.8025)=0.0418  

If we compare the p value and the significance level given \alpha=0.05 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 average is higher than 52 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=54.98 represent the sample mean

s=8.43 represent the sample deviation

n=26 sample size  

\mu_o =52 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

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

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 52, the system of hypothesis would be:  

Null hypothesis:\mu \leq 52  

Alternative hypothesis:\mu > 52  

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".  

Calculate the statistic  

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

t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025  

P-value  

We need to find the degrees of freedom given by:

df = n-1= 26-1 = 25

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

p_v =P(t_{25}>1.8025)=0.0418  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 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 average is higher than 52 at 5% of signficance.  

7 0
3 years ago
Read 2 more answers
Randall, Kira and Sean have 100 baseball cards altogether. Randall has twice as many as Kira and 10 more than Sean. How many bas
TEA [102]

Kira has 22 cards, Randall has 44 cards, and Sean has 34 cards

<u>Solution:</u>

Given that, Randall, Kira and Sean have 100 baseball cards altogether.

Randall has twice as many as Kira and 10 more than Sean.  

We have to find how many baseball cards does each person have?

Now, let the number of cards with Kira be "n", then number of cards with Randall will be "2n"

As Randall has "2n" cards, Sean will have 2n – 10

Now, total cards = 100  

<em>Randall cards + Kira cards + Sean cards = 100  </em>

2n + n + 2n – 10 = 100  

5n = 100 + 10  

5n = 110  

n = 22

So, kira has 22 cards, then, randall will have 2(22) = 44 cards and cards with sean = 44 – 10 = 34 cards.

Hence, kira has 22 cards, randall has 44 cards, and sean has 34 cards.

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Is this a function?<br> {(-1,3); (-2,-3); (2,0); (0,2)}
Molodets [167]
Yes, because the x’s aren’t repeated
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Slav-nsk [51]

Answer: 171 green marbles

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Then there is a 2 out of 7 total tries so  14.28 * 2 equals 28.57% chance to get a green marble.

600 * 0.2857 = 171.41 marbles but you cant get half a marble so 171 green marbles.

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Answer:

The slope of the line is

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