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Akimi4 [234]
3 years ago
6

The price of a man's shirt went from $15 to $20. What was the percent of increase of the price of the shirt? A. 25% A. , 25%, B.

3313% B. , 33 and 1 over 3 percent, C. 20% C. , 20%, D. None of these D. , none of these,
Mathematics
2 answers:
dexar [7]3 years ago
4 0

Answer: 33 1/3%

Step-by-step explanation:

Percentage increase of the shirt will be calculated as:

= Price Increase / Old price × 100%

Price Increase = $20 - $15 = $5

Old price = $15

Percent increase = Price Increase / Old price × 100%

= 5/15 × 100

= 1/3 × 100

= 33 1/3%

Zielflug [23.3K]3 years ago
3 0

Answer:

it would be -25% because 15 is less than 20

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Solve for the variable using Trig ratio.
SIZIF [17.4K]

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(50)° = \frac{x}{6}

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(23)° = \frac{a}{15}

a = 15sin(23)°

a = 5.86

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3 years ago
Find the hcf by long division method 434 ,775​
almond37 [142]

Answer:

775=434×1+341

Step-by-step explanation:

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3 years ago
Which of the following should be avoided when proving a trigonometric identity?
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Answer:

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fundamental trigonometric identities

7 0
3 years ago
A sample of 1200 computer chips revealed that 45% of the chips fail in the first 1000 hours of their use. The company's promotio
yaroslaw [1]

Answer:

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

p_v = P(Z

So the p value obtained was a low value and using 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, and we can said that at 5% of significance the proportion of chips that fail in the first 1000 hours of their use is not significantly less than 0.48.   

Step-by-step explanation:

Data given and notation

n=1200 represent the random sample taken

\hat p=0.45 estimated proportion of chips that fail in the first 1000 hours of their use

\mu_0 =0.48 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion si less then 0.48:  

Null hypothesis:p\geq 0.48  

Alternative hypothesis:p < 0.48  

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  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

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 provided \alpha=0.05. The next step would be calculate the p value for this test.  

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

p_v = P(Z

So the p value obtained was a low value and using 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, and we can said that at 5% of significance the proportion of chips that fail in the first 1000 hours of their use is not significantly less than 0.48.  

6 0
4 years ago
What is the slope of the line? (2,3) (4,2)
Rainbow [258]
Formula for slope: \frac{y2-y1}{x2-x1}
Plug in: \frac{2-3}{4-2} &#10;= - \frac{1}{2}
Slope: - \frac{1}{2}
Answer: B
7 0
3 years ago
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