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Sloan [31]
2 years ago
8

3x2+45=24x quadratic equation​

Mathematics
1 answer:
ElenaW [278]2 years ago
6 0

Answer:

x = 5,3

Step-by-step explanation:

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A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet
brilliants [131]

Answer:

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the liquid diet yields a higher mean weight loss than the powder diet.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0

The significance level is 0.05.

The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.

The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.

The difference between sample means is Md=-3.

M_d=M_1-M_2=42-45=-3

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04

The degrees of freedom for this test are:

df=n_1+n_2-1=49+36-2=83

This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.15) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet.

6 0
3 years ago
Read 2 more answers
David earned a total of $378.75 in 15 hours. How much did David earn per hour? NO GUESSES NO LINKS NO BOTS
enot [183]

Answer: $25.25

Step-by-step explanation:

378.75/15 = 25.25

3 0
2 years ago
Read 2 more answers
A rental car company is running two specials. Customers can pay $40 to rent a compact car for the first day plus $2 for each add
svp [43]

Answer: 5

Step-by-step explanation:

The equation to solve this problem is 40 + 2x = 25 + 5x

Now, to solve for x you first need to subtract 25 from each side:

15 + 2x = 5x

Next, subtract 2x from each side:

15 = 3x

Finally, divide both sides by 3:

5 = x

Farid is renting the car for 5 additional days.

4 0
3 years ago
10. A local
professor190 [17]

Answer:

39.7%

Step-by-step explanation:

(actual value - estimated value) / actual value

5.8 - 3.5 = 2.3

2.3 / 5.8 = 0.3965 = 39.65%

5 0
3 years ago
Which amount is bigger
erastova [34]
What the two or more numbers or amounts? Something needs to be compared
8 0
3 years ago
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