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docker41 [41]
3 years ago
7

Estimate 73% of 42 by rounding

Mathematics
2 answers:
Alex Ar [27]3 years ago
8 0

Answer:30%

Step-by-step explanation:

lozanna [386]3 years ago
4 0

Answer:

The estimate is 41

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Which number is irrational?<br> 16.5%<br> 0.0675<br> 8 3/4<br> 3.14
eimsori [14]

Answer:

3.14

Step-by-step explanation:

it will go on foreever

6 0
3 years ago
The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let µ denote the true average re
Zolol [24]

Answer:

a) df=n-1=16-1=15

The statistic calculated is given by t=3.3  

Since is a one-side upper test the p value would be:      

p_v =P(t_{15}>3.3)=0.0024  

So since the p value is lower than the significance level pv we reject the null hypothesis.

b) df=n-1=8-1=7

The statistic calculated is given by t=1.8  

Since is a one-side upper test the p value would be:      

p_v =P(t_{7}>1.8)=0.057  

So since the p value is higher than the significance level pv>\alpha we FAIL to reject the null hypothesis.

c) df=n-1=26-1=25

The statistic calculated is given by t=-0.6  

Since is a one-side upper test the p value would be:      

p_v =P(t_{25}>-0.6)=0.723  

So since the p value is higher than the significance level pv>\alpha we FAIL to reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation      

\bar X represent the sample mean

s represent the standard deviation for the sample

n sample size      

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

\alpha 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 determine if the true mean is higher than 20, the system of hypothesis would be:      

Null hypothesis:\mu \leq 20      

Alternative hypothesis:\mu > 20      

We don't know the population deviation, so for this case 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".  

(a) n = 16, t = 3.3, a = 0.05, P-value =

First we need to calculate the degrees of freedom given by:  

df=n-1=16-1=15

The statistic calculated is given by t=3.3  

Since is a one-side upper test the p value would be:      

p_v =P(t_{15}>3.3)=0.0024  

So since the p value is lower than the significance level pv we reject the null hypothesis.

(b) n = 8, t = 1.8, a = 0.01, P-value =

First we need to calculate the degrees of freedom given by:  

df=n-1=8-1=7

The statistic calculated is given by t=1.8  

Since is a one-side upper test the p value would be:      

p_v =P(t_{7}>1.8)=0.057  

So since the p value is higher than the significance level pv>\alpha we FAIL to reject the null hypothesis.

(c) n = 26,t = -0.6, P-value =

 First we need to calculate the degrees of freedom given by:  

df=n-1=26-1=25

The statistic calculated is given by t=-0.6  

Since is a one-side upper test the p value would be:      

p_v =P(t_{25}>-0.6)=0.723  

So since the p value is higher than the significance level pv>\alpha we FAIL to reject the null hypothesis.

3 0
3 years ago
Which function represents a reflection of f(x) =
liubo4ka [24]

If your original equation was f(x) = 3(2)^x, then a reflection over the x-axis means you need all the y-values to switch sign.  This means you need to multiply that function by -1.

    g(x) = -1\cdot 3(2)^x or  g(x) = -3(2)^x

8 0
2 years ago
While on vacation in Europe you notice that a tablet computer is selling for 600 euros in France and for 533 pounds in Britain.
serg [7]

The cost of the tablet computer is less in France. It is $8.

Step-by-step explanation:

Cost in France = 600 euros

75 euros = 1 dollar

600 euros = 600/75 dollars

=$ 8

Cost in Britain = 533 pounds

65 pounds = 1 dollar

533 pounds = 533/65 dollars

= $8.2

The cost of the tablet computer is less in France. It is $8.

3 0
3 years ago
If 300 gallons of water fill a swimming pool in 20 minutes, how many gallons fill the swimming pool in 25 minutes?
lapo4ka [179]

Answer:

375 gallons in 25 minutes

Step-by-step explanation:

first decide how many gallons in one minute

300/20 = 15 gallons in one minute

next multiply 15 x 25 minutes. You get 375 gallons in 25 minutes

8 0
3 years ago
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