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sergeinik [125]
3 years ago
12

.To find a shoe size, the manufacturer uses the equation S = 3f - 22, where S

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

See attachment for math work and answer.

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Pls help with all 4 questions, and show a step by step explanation (show how you set up the problems)
Ainat [17]
<h2>Answer:</h2>

<u>Question 10:</u>

21.75 ÷ 30 = 0.725

Move the decimal backwards 2 times

72.5

<em>Answer: </em>72.5%

<u>Question 11:</u>

Sales: $768

Commission Rate: 4%

Commission: $30.72

768 x 4 = 3,072

3,072 ÷ 100 = 30.72

<em>Answer:</em> $30.72

<u>Question 12:</u>

Selling Price: $39.98

Tax Rate: 4.5%

Sales Tax: $1.80

39.98 x 4.5 = 179.91

179.91 ÷ 100 = 1.7991

Then you round to the thousandths.

1.799

1.8

<em>Answer:</em> $1.80

<u>Question 13:</u>

20% x 141 = 28.2

141 + 28.2 = 169.2

<em>Answer:</em> $28.20 gratuity is added to the bill.

8 0
2 years ago
1.08 x 10^-3 in standard form?
Olenka [21]
AnswerTo the following subject of 1.08×10 in standard form you have to calculate the radius in yet to find the perimeter

5 0
3 years ago
if a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin (a+b)
Rzqust [24]
38/45. <span><span>49</span>+<span>25 </span></span><span>=<span>( 4 × 5) + (2 × 9) 9 × 5 </span></span><span>= <span>38/<span>45

</span></span></span>
8 0
3 years ago
Read 2 more answers
Dual-energy X-ray absorptiometry (DXA) is a technique for measuring bone health. One of the most common measures is total body b
sesenic [268]

Answer:

\bar d=\frac{\sum_{i=1}^n d_i}{n}=-0.001

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}=0.0095

-The sample is too small to make judgments about skewness or symmetry.

H0:\mu_{1}=\mu_{2}

H1:\mu_{1} \neq \mu_{2}

t=\frac{1.173-1.174}{\sqrt{\frac{0.1506^2}{8}+\frac{0.1495^2}{8}}}=-0.013

p_v =2*P(t_{(14)}

So the p value is a very high value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and a we don't have a significant difference between the two means.

Step-by-step explanation:

First we need to find the difference defined as:

(Operator 1 minus Operator 2)

d1=1.326-1.323=0.003      d2=1.337-1.322=0.015

d3=1.079-1.073=0.006     d4=1.229-1.233=-0.004

d5=0.936-0.934=0.002   d6=1.009-1.019=-0.01

d7=1.179-1.184=-0.005      d8=1.289-1.304=-0.015

Now we can calculate the mean of differences given by:

\bar d=\frac{\sum_{i=1}^n d_i}{n}=-0.001

And for the sample deviation we can use the following formula:

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}=0.0095

Describe the distribution of these differences using words. (which one is correct)

We can plot the distribution of the differences with the folowing code in R

differences<-c(0.003,0.015,0.006,-0.004,0.002,-0.01,-0.005,-0.015)

hist(differences)

And we got the image attached. And we can see that the distribution is right skewed but we don't have anough info to provide a conclusion with just 8 differnences.

-The sample is too small to make judgments about skewness or symmetry.

Use a significance test to examine the null hypothesis that the two operators have the same mean. Give the test statistic. (Round your answer to three decimal places.)

\bar X_{1}=1.173 represent the mean for the operator 1

\bar X_{2}=1.174 represent the mean for the operator 2

s_{1}=0.1506 represent the sample standard deviation for the operator 1

s_{2}=0.1495 represent the sample standard deviation for the operator 2

n_{1}=8 sample size for the operator 1

n_{2}=8 sample size for the operator 2

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0:\mu_{1}=\mu_{2}

H1:\mu_{1} \neq \mu_{2}

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

We can replace in formula (1) like this:

t=\frac{1.173-1.174}{\sqrt{\frac{0.1506^2}{8}+\frac{0.1495^2}{8}}}=-0.013

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test. The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=8+8-2=14

Since is a bilateral test the p value would be:

p_v =2*P(t_{(14)}

So the p value is a very high value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and a we don't have a significant difference between the two means.

8 0
3 years ago
HELP WITH FINANCIAL LIT--WILL MARK BRANLIEST--
Dominik [7]
1. Go on a vacation that costs $3,500 
Paying off money for buying a car will not decrease your net worth as you get the car as assets for the money you use. But the depreciates 20% will cause you to lose $3,000 assets. Assuming you are not buying assets at all, go on a vacation that costs $3,500 will increase liability without any effect on assets. Paying up bills will decrease your asset but it also decreases your liability so the net worth wouldn't change. 

2. 1) higher 2) lower
Subprime lending is lending money to people with a low credit score that was not really fit for the credit. This means the risk of getting the money back would be higher than prime lending. Since the risk of losing the money is higher, the interest should be higher than prime lending.

3. $200,000
The house price is $250k and the buyer put 20% down which is; 20%*$250k= $50k
Then the rest of the money that needs to be paid by the mortgage would be: $250k-$50k=$200k

4. Lower, Increase
In variable rate loans, the interest will be adjusted by the market. That means the rates will be unpredictable since it was based on the condition of the market. It will be safer for the creditor since he/she will absolutely get the revenue no matter how the market goes. This change is a bit dangerous for the borrower because the number of rates can increase dramatically. 

5. Higher, lower
When you pay 30 years mortgage, the total loan is divided by 30 years which was 2 times more than 15 years. Excluding the rates, you can estimate that the 15 years mortgage payment will be twice than 30years mortgage. The total cost would also be lower since the interest rate is applied for 15 years, about half than 30 years.

6. Negative $3,500
Net worth is assets minus liability.
The list of the assets would be: 
$500 in short-term savings
$5,000 in her retirement savings account
Total assets= $500+$5,000= $5,500

The list of liability would be:
$1,500 in credit card debt
student loan debt of $7,500

Total liability= $1,500+ $7,500= $9,000Net worth= $5,500- $9,000= - $3,500
3 0
3 years ago
Read 2 more answers
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