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LenKa [72]
2 years ago
8

A school fundraiser needs to raise a total of $1000. The students are selling artwork for $25 a piece. They have already raised

$300 toward their goal. Write and solve an equation to represent this situation
Mathematics
1 answer:
stiks02 [169]2 years ago
5 0
ANSWER: 25x+300=1000

EXPLANATION: $25 is how much each artwork is worth so you multiply that by how many artworks needed to make 1000, but since you don’t know how many you need you put an x. You’ve already made $300, so you add that to 25x so you get 25x+300 and then finally because you need your outcome to be 1000 you put that as what the equation should equal to and you should get 25x+300=1000.
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Three times a number plus 12 minus 5 times the same number is 22. what is the number?
saw5 [17]
3n+12-5 x n=22

4n=15


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3 years ago
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Which expression is a trinomial of degree 1?<br> A. x^3+x^2-x<br> B. xy^2<br> C. 6+x-y<br> D. 3x-y
ki77a [65]
C

Trinomial means three parts
A and C or trinomial's but the degree on a is at three and the degree of C is a one
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Granola Crunch cereal is packaged in 1 pound boxes. Susan Torres, a quality control analyst who works for the manufacturer of th
sineoko [7]

Answer:

z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162    

p_v =2*P(z>3.162)=0.0016    

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 to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.

Step-by-step explanation:

Data given and notation    

\bar X=1.02 represent the sample mean

\sigma=0.04 represent the population standard deviation    

n=40 sample size    

\mu_o =1 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 true mean is equal to 1 pound or no :    

Null hypothesis:\mu =1    

Alternative hypothesis:\mu \neq 1    

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:    

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)    

z-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:    

z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162    

P-value    

Since is a two-sided test the p value would be:    

p_v =2*P(z>3.162)=0.0016    

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 to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.    

5 0
3 years ago
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
borishaifa [10]
(k + k)(4) =
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Take 10% of the snowboard price.

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86.33 + 5.18 = $91.51

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After solving Hannah doesn't have enough money to buy the snowboard.

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Best Regards,

Wolfyy :)

5 0
3 years ago
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