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luda_lava [24]
2 years ago
13

I need help on these 4 questions. Please someone help me. Don’t put a link. Please help me.

Mathematics
1 answer:
IrinaK [193]2 years ago
6 0

Answer:

Median: b

Altitude: c

Angle bisector: a

Perpendicular bisector: d

Step-by-step explanation:

You might be interested in
The following data lists the ages of a random selection of actresses when they won an award in the category of Best​ Actress, al
Valentin [98]

Answer:

a) p_v =P(t_{(9)}

The p value is higher than the significance level given 0.01, so then we can conclude that we FAIL to reject the null hypothesis. And we can say that the true difference for Best Actresses is not significantly lower than the mean for Best​ Actors at 1% of significance.

b) The 99% confidence interval would be given by (-21.469;2.069)

c) We got the same conclusion as part a, sicne the confidence interval contains the value 0, we FAIL to reject the null hypothesis that the difference between the two

Step-by-step explanation:

Part a

Let put some notation  

x=actor's age , y = actress's age

x: 58 41 36 36 34 33 48 37 37 43

y: 26 27 34 26 35 29 23 42 30 34

The system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x \geq 0

Alternative hypothesis: \mu_y -\mu_x

The first step is calculate the difference d_i=y_i-x_i and we obtain this:

d: -32, -14, -2, -10, 1, -4, -25, 5, -7, -9

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= -9.7

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =11.451

The 4 step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-9.7 -0}{\frac{11.451}{\sqrt{10}}}=-2.679

The next step is calculate the degrees of freedom given by:

df=n-1=10-1=9

Now we can calculate the p value, since we have a left tailed test the p value is given by:

p_v =P(t_{(9)}

The p value is higher than the significance level given 0.01, so then we can conclude that we FAIL to reject the null hypothesis. And we can say that the true difference for Best Actresses is not significantly lower than the mean for Best​ Actors at 1% of significance.

Part b

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The confidence interval for the mean is given by the following formula:  

\bar d \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that t_{\alpha/2}=3.25  

Now we have everything in order to replace into formula (1):  

-9.7-3.25\frac{11.451}{\sqrt{10}}=-21.469  

-9.7+3.25\frac{11.451}{\sqrt{10}}=2.069  

So on this case the 99% confidence interval would be given by (-21.469;2.069)

Part c

We got the same conclusion as part a, sicne the confidence interval contains the value 0, we FAIL to reject the null hypothesis that the difference between the two means is 0.

8 0
3 years ago
The hot water faucet takes four minutes to fill the tub, in the cold water faucet takes 3 minutes for the same job. How long to
Sindrei [870]

Answer: 1.12 minutes


7 0
3 years ago
Read 2 more answers
A tank was filled with 4 and half litres of water. 1.175 litres of water was poured out from the tank. How much water was left i
serg [7]
4-1.175=2.825
There was 2.825 liters left in the tank.
Hope this helps.
7 0
3 years ago
What is the value of x?
Nastasia [14]

Answer:x=15

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The difference of -3/4 - (-5/9)
Natali [406]

Answer:

−  

7

36

≈negative 0.194−0.194

Step-by-step explanation:

Step 1 of 2: Subtract.

Subtract

(negative 3 over 4 −  

3

4

) − (negative 5 over 9 −  

5

9

) = negative 7 over 36−  

7

36

Step 1 of 2: Subtract, sub-step a: Subtract a negative.

Subtract a negative

negative 3 over 4−  

3

4

− (negative 5 over 9 −  

5

9

) = negative 3 over 4−  

3

4

+ 5 over 9

5

9

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.

Find common denominator

negative 3 over 4−  

3

4

+ 5 over 9

5

9

= −( 3 × 9 ) over ( 4 × 9 )

3 × 9

4 × 9

+ ( 5 × 4 ) over ( 9 × 4 )

5 × 4

9 × 4

= negative 27 over 36−  

27

36

+ 20 over 36

20

36

36 is the least common multiple of denominators 4 and 9. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.

Add

negative 27 over 36−  

27

36

+ 20 over 36

20

36

= ( negative 27−27 + 20 ) over 36

negative 27−27 + 20

36

= negative 7 over 36−  

7

36

3 0
3 years ago
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