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spin [16.1K]
3 years ago
9

A model ship is built to a scale of 1 centimeter = 5 meters. The length of the

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

150 meters

Step-by-step explanation:

Since 1 x 30 gives the 30

5 x 30= 150

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Solve this system of linear equations. Separate
Katyanochek1 [597]

Answer:

good question

Step-by-step explanation:

5 0
3 years ago
Consider testing H^0: u=20 against H^a: u<20 where u is the mean number of latex gloves used per week by all hospital employe
iragen [17]

Answer:

Part a: P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=46-1=45  

Since is a one sided test the p value would be:  

p_v =P(t_{(45)}  

Part b: 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, and we can conclude that the true mean is not lower than 20 at 1% of signficance.  

a. There is insufficient evidence to reject h^0

Step-by-step explanation:

Data given and notation  

\bar X=19.1 represent the sample mean

s=11.8 represent the sample standard deviation

n=46 sample size  

\mu_o =20 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t 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 is lower than 20, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

If we analyze the size for the sample is > 30 but we don't know the population deviation so 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".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{19.1-20}{\frac{11.8}{\sqrt{46}}}=-0.517    

Part a: P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=46-1=45  

Since is a one sided test the p value would be:  

p_v =P(t_{(45)}  

Part b: 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, and we can conclude that the true mean is not lower than 20 at 1% of signficance.  

a. There is insufficient evidence to reject h^0

5 0
3 years ago
A store has ergonomic chairs on sale for 10% off of the regular price. Cayley finds a chair she wants to buy that has an origina
KatRina [158]
I think it 317.36
$325+10%=29.5+8.5%=317.36
5 0
3 years ago
Determine if triangle OPQ and triangle RST are or are not similar, and, if they are, state which triangle similarity shortcut (A
murzikaleks [220]

Answer:

SAS Similarity

Step-by-step explanation:

ΔOPQ similar to ΔRST

∠Q  = ∠T

OQ : RT = 28 : 84 = 1 : 3

QP : TS  = 16 : 48 = 1 : 3

The measures of two sides of ΔOPQ are proportional to the measure of two side of ΔRST and their included angles are congruent.  The triangles are similar by SAS Similarity.

4 0
3 years ago
A BMW that cost $71,000 in 2003 depreciates in value about 15% a year. How much was it worth in 2013?
N76 [4]
100-15= 85% 

2013-2003= 10 years

$71,000 * (0.85^10yrs)= $13,978<span>.</span>08

Did this make sense or would you like me to explain some more about something you are still not understanding? Please comment below :)
6 0
3 years ago
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