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taurus [48]
3 years ago
13

A right triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches what is the inches. What is t

he length of the other leg round to the nearest tenth
Mathematics
1 answer:
yanalaym [24]3 years ago
8 0
Tan(30°) = opposite/adjacent  ⇒

opposite = adjacent * tan(30°) = 25 * 0.5773 ≈14.4 in  ← <span>to the nearest tenth.</span>
You might be interested in
snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the origi
Alika [10]

Step-by-step explanation:

60% of original price X = $180

60/100 × X = $180

60X/100= $180( cross multiply)

60X= 18000

X= 18000÷60

X= $300

8 0
2 years ago
Laryngeal cancer rates in smokers is 160.0 (per 100,000) and 25.0 (per 100,000) among nonsmokers. Among smokers, what percentage
Romashka [77]

Answer:

0.16%

Step-by-step explanation:

From the statement of the question;

Number of Laryngeal cancer due to smoking = 160

Population of smokers = 100,000

Hence the percentage of smokers liable to have Laryngeal cancer = 160/100000 ×100/1

=0.16%

Hence 0.16% of smokers are liable to Laryngeal cancer

4 0
3 years ago
A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 feet longer
VladimirAG [237]
Let's say the second piece is x ft long
The first piece is 2x ft long
The third piece is x+4 ft long
All of the pieces should add up to 10ft
x+2x+x+4=10
4x= 6
x=1.5ft
The first piece is 2x ft long=3 ft long
7 0
3 years ago
A development economist is studying income growth in a rural area of a developing country. The last census of the population of
kykrilka [37]

Answer:

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.  

Step-by-step explanation:

Data given and notation  

\bar X=433.75 represent the mean height for the sample  

\sigma=\sqrt{2500}=50 represent the population standard deviation for the sample  

n=100 sample size  

\mu_o =425 represent the value that we want to test

\alpha=0.01 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 height actually is higher than the mean height for men in 1960, the system of hypothesis would be:  

Null hypothesis:\mu \leq 425  

Alternative hypothesis:\mu > 425  

Since we know the population deviation so 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{433.75-425}{\frac{50}{\sqrt{100}}}=1.75    

P-value

Since is a one right tail test the p value would be:  

p_v =P(z>1.75)=1-P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.  

3 0
3 years ago
Please help me with this homework
lianna [129]

Answer:

The third one

y+1=-2(x-3)

Step-by-step explanation:

Solve y+1=-2(x-3)

y+1=-2(x-3) becomes y=-2x+5

Then just graph it.

8 0
3 years ago
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