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steposvetlana [31]
3 years ago
15

A sweatshirt costs $35. Find the total cost if the sales tax is 7.75%.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:

37.7125

Step-by-step explanation:

35 * 1.0775

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A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCI/L of radon. The resulting reading
valkas [14]

Answer:

Null hypothesis:\mu = 100  

Alternative hypothesis:\mu \neq 100  

t=\frac{98.375-100}{\frac{6.109}{\sqrt{12}}}=-0.921  

p_v =2*P(t_{11}  

Step-by-step explanation:

1) Data given and notation  

Data: 105.6, 90.9, 91.2, 96.9, 96.5, 91.3, 100.1, 105.0, 99.6, 107.7, 103.3, 92.4

We can calculate the sample mean and deviation for this data with the following formulas:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}

The results obtained are:

\bar X=98.375 represent the sample mean  

s=0.6.109 represent the sample standard deviation  

n=12 sample size  

\mu_o =100 represent the value that we want to test  

\alpha 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)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 100pCL/L, the system of hypothesis are :  

Null hypothesis:\mu = 100  

Alternative hypothesis:\mu \neq 100  

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{98.375-100}{\frac{6.109}{\sqrt{12}}}=-0.921  

4) P-value  

First we need to find the degrees of freedom for the statistic given by:

df=n-1=12-1=11

Since is a two sided test the p value would given by:  

p_v =2*P(t_{11}  

5) Conclusion  

If we compare the p value and the significance level assumed \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 true mean is not significant different from 100 at 5% of significance.  

3 0
3 years ago
Could you explain what the answer is and why? I am not sure of how to do this
lidiya [134]
D, because after being reflected onto itself or turning 180 degrees, you would be transforming onto itself. I hope this helps!
8 0
3 years ago
Read 2 more answers
How many solutions does -3x+9-2x=-12-5x have
Neko [114]

Answer:

-27+6x=-12-5x

Step-by-step explanation:

It has one solution

8 0
3 years ago
Jeremy subtracted the following rational expressions. His teacher told him that his answer was incorrect. Explain Jeremy's error
kkurt [141]
Since this is a subtraction problem, Jeremy needed to distribute the negative to the terms in the numerator. Jeremy only distributed it to the<span> x</span>2<span>-term, and not to 15. Instead, he kept the 15 positive. When he combined like terms, he got a result of 5 for the constants. The correct result is </span>x<span> + 5.</span>
9 0
2 years ago
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Show how to find the unit rate of oats to quinoa. Tell what the unit rate means.
Dmitry [639]

Answer:

The unit rate is 4 cups of oats per a cup of quinoa

Unit Rate is a ratio of two measurements in which the 2nd term is 1

Step-by-step explanation:

* Lets explain the meaning of unit rate

- A rate is a ratio that is used to compare different types of quantities

- A unit rate describes how many units of the first type of quantity

 corresponds to one unit of the second type of quantity

- To calculate the unit rates, we simply divide the two numbers

  in a fraction with denominator equal 1

- Ex:

# The unit rate of 50 miles per 5 hours is 50/5 = 10 miles per hour

# The unit rate of $20 dollars for 5 books is 20/4 = 5 dollars per book

∴ <u><em>Unit Rate is a ratio of two measurements in which the 2nd term is 1</em></u>

<u><em /></u>

* <em>Lets find the unit rate of oats to quinoa</em>

∵ There are 2 cups of oats

∵ There is a 1/2 cup of quinoa

∵ We need the unit rate of oats to quinoa

- Divide the quantity of oats by the quantity of quinoa

∴ 2/(1/2) ⇒ multiply up and down by 2

∴ (2 × 2)/(1/2 × 2) = 4/1

∴ <u><em>The unit rate is 4 cups of oats per a cup of quinoa</em></u>

4 0
3 years ago
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