Find the missing number: 12,25,18,14,X,8 Mean=15

A container is being filled with water at a steady rate. The graph shows how the volume of water in the container varies with th

Mkey [24]

Answer: a. $v=\dfrac{2}{3}t$ and b. $t=\dfrac{3}{2}v$ .

Step-by-step explanation:

Let as consider,

Volume (in gallons) of water in the container = v

The number of minutes = t

(a)

From the given graph it is clear that the line passing through the points (0,0) and (3,2). So, the equation of line is

$v-v_1=\dfrac{v_2-v_1}{t_2-t_1}(t-t_1)$

$v-0=\dfrac{2-0}{3-0}(t-0)$

$v=\dfrac{2}{3}t$

Therefore, the required formula is $v=\dfrac{2}{3}t$ .

(b)

We have,

$v=\dfrac{2}{3}t$

Multiply both sides by 3/2.

$v\times \dfrac{3}{2}=\dfrac{2}{3}t\times \dfrac{3}{2}$

$\dfrac{3}{2}v=t$

$t=\dfrac{3}{2}v$

Therefore, the required formula is $t=\dfrac{3}{2}v$ .

6 0

4 years ago

Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe

omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.

If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, $H_1$ : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

P-value = P(Z < -1.68) = 1 - P(Z $\leq$ 1.68)

= 1 - 0.95352 = 0.0465

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which we reject the null hypothesis.

(b) Now, we are given alternate hypothesis, $H_1$ : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

P-value = P(Z > 0.41) = 1 - P(Z $\leq$ 0.41)

= 1 - 0.6591 = 0.3409

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which we fail to reject the null hypothesis.

5 0

3 years ago

What is the difference between 3/5 and 3/10

Westkost [7]

Well, whenever you are working with fractions with different denominators, you would multiply both the top and the bottom of the fraction with the smaller number as the denominator. (You could also divide the larger denominator number.) So let's see what number we can multiply by 5 to get 10. That would be 2. Then we would multiply the numerator by two as well. So what is 3 times 2? 6. Once you've done that, you get 6/10 or 0.6 in decimal form. The difference would be 0.3 or 3/10. :)

3 0

3 years ago

I need help with this question

raketka [301]

Answer:

a)$21 b)$32 c)$52.5

Step-by-step explanation:

a) 84/4=$21

b) 128/4=$32

c) 210/4=$52.5

8 0

3 years ago

Plz help me out ASAP

asambeis [7]

Answer:

68

Step-by-step explanation:

cos22=sinx

sin^-1(cos22)=x

x= 68

4 0

4 years ago

Find the missing number:12,25,18,14,X,8 Mean=15 ​

Find the missing number:12,25,18,14,X,8 Mean=15