Qfind the product. Write the product in simplest form 1 2/3 x 4 2/5

Directions for questions 4 & 5: We selected a random sample of 100 StatCrunchU students, 67 females and 33 males, and analyz

GaryK [48]

Answer:

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

The lower limit on the confidence interval is -$2164.21.

The upper limit on the confidence interval is -$299.13.

Step-by-step explanation:

The sample data is:

Gender Mean Std. dev. n

Female 2577.75 1916.29 67

Male 3809.42 2379.47 33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

The sample 1, of size n1=67 has a mean of 2577.75 and a standard deviation of 1916.29.

The sample 2, of size n2=33 has a mean of 3809.42 and a standard deviation of 2379.47.

The difference between sample means is Md=-1231.67.

$M_d=M_1-M_2=2577.75-3809.42=-1231.67$

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

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795$

The t-value for a 95% confidence interval is t=1.96.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=1.96 \cdot 475.795=932.54$

Then, the lower and upper bounds of the confidence interval are:

$LL=M_d-t \cdot s_{M_d} = -1231.67-932.54=-2164.21\\\\UL=M_d+t \cdot s_{M_d} = -1231.67+932.54=-299.13$

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

6 0

3 years ago

Five is the quotient of 120 divided by some number. What is the number? 20 24 115 125

slava [35]

Your answer is 24! If you work backwards and divide 120 by 5, you get 24. To check your work, multiply 24 by 5 to get 120. Hope this helps! Please mark brainliest and have an amazing rest of your day. Stay safe! xx

4 0

3 years ago

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Can someone help me please !! I’m so confused Thank you

sergiy2304 [10]

Answer:

I have no idea if this would be right but I am guessing (for the 1/5 one) if you put 5 different colored marbles in a container and wanted to pull out a red one. You can also do this for the 1/10 one just use a different object.

5 0

3 years ago

Joyce old 218 cupcakes of lemonade at his lemonade stand. What is 218 rounded to the nearest tens

MAXImum [283]

220

from 218 the 1 is in the tens column. this is the figure that needs to be rounded.

using the following rule

If the digit after the 1 is ≥ 5 then round 1 up to 2

If the digit after the 1 is < 5 then the 1 remains as 1

here the digit after the 1 is 8 so the 1 in the ten's column becomes 2 and the 8 is replaced by 0

218 ≈ 220 ( to the nearest ten )

7 0

3 years ago

Given $dc = 7$, $cb = 8$, $ab = \frac{1}{4}ad$, and $ed = \frac{4}{5}ad$, find $fc$. Express your answer as a decimal.

Pachacha [2.7K]

A ↔ B ↔ C ↔ D ↔ E ↔ F

$\frac{1}{4} AD$ 8 7 $\frac{4}{5} AD$ ???

AB + BC + CD = AD <em>segment addition postulate</em>

$\frac{1}{4} AD$ + 8 + 7 = AD

$\frac{1}{4} AD$ + 15 = AD

AD + 60 = 4AD

60 = 3AD

20 = AD

AB = $\frac{1}{4} AD$ = $\frac{1}{4}(20)$ = 5

DE = $\frac{4}{5}AD$ = $\frac{4}{5}(5)$ = 4

CD + DE + EF = CF <em>segment addition postulate</em>

7 + 4 + EF = CF

11 + EF = CF

Answer: 11 + EF

Note: You did not provide any info about EF. If you have additional information that you did not type in, calculate EF and add it to 11 to find the length of CF.

7 0

3 years ago

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