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3 years ago

Can you solve the equation 2/3(4x-5)=8 by using the Division Property of Equality? Explain.

1 answer:

3 0

To solve for X you need to simplify both sides on the equation
23(4x−5)=8

(23)(4x)+(23)(−5)=8 *Distribute*

8/3x+−10/3=8

after that you add 10/3 on both sides

8/3x+−10/3+10/3=8+10/38/3x=34/3

finally multiply 3/8 on both sides
(3/8) x (8/3x)=(3/8) x (34/3)

and your answer should be
X= 17/4

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The article "Occurrence and Distribution of Ammonium in Iowa Groundwater" (K. Schilling, Water Environment Research, 2002:177–18

Papessa [141]

Answer: 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

Step-by-step explanation:

Since we have given that

Number of alluvial wells = 349

Number of quaternary wells = 143

Number of alluvial wells that had concentrations above 0.1 = 182

Number of quaternary wells that had concentrations above 0.1 = 112

Average of alluvial wells = 0.27

Standard deviation = 0.4

Average of quaternary wells = 1.62

Standard deviation =1.70

So, 95% confidence interval gives

alpha = 5% level of significance.

$\dfrac{\alpha}{2}=2.5\%\\\\z_{\frac{\alpha}{2}}=1.96$

So, 95% confidence interval becomes,

$(1.62-0.27)\pm 1.96\sqrt{\dfrac{0.4^2}{349}+\dfrac{1.7^2}{143}}\\\\=1.35\pm 1.96\times 0.020\\\\=(1.35-0.040,1.35+0.040)\\\\=(1.31,1.39)$

Hence, 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

6 0

3 years ago

The data set 80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 is graphed below. A graph shows the horizontal axis labe

guajiro [1.7K]

Based on the information given, it can be deduced that the distribution is a skewed distribution and the best choice is a median.

<h3>How to calculate the mean.</h3>

The mean will be:

= (80 + 84 + 79 + 44 + 87 + 73 + 89 + 90 + 82 + 89 + 93 + 97 + 77 + 71) / 14

= 1135/14

= 81.07

The median will be the middle number after the numbers are arranged in ascending order. This will be:

44, 71, 73, 77, 79, 80, 82, 84, 87, 89, 89, 90, 93, and 97. Therefore, the median will be:

= (82 + 84) / 2

= 83

Lastly, the measure of center that is the best choice for this data set is median.

Learn more about median on:

brainly.com/question/14805451

8 0

2 years ago

Read 2 more answers

What is the answer to this problem?

leonid [27]

Answer:

Surface area = 24in

Step-by-step explanation:

I think its 6in x 4in

so like since the green cylinder is 6in i think you multiply it with the purple (sorry if I’m wrong)

5 0

3 years ago

Megan and Suzanne each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, an

SOVA2 [1]

Megan`s plant:
Rate: ( 7 - 4.5 ) / ( 2 - 1 ) = 2.5 in per week
Suzanne`s plant:
Rate: ( 7 - 5 ) / ( 2 - 1 ) = 2 in per week
Answer:
D ) Megan`s at 2.5 inches per week

6 0

3 years ago

Read 2 more answers

I’m once again asking for your Mathematical support!

Sergio [31]

Answer:

Step-by-step explanation:

let x= hamburger

let y= hot dogs

Jalen: 5x+3y=28.50

Victoria: 2x+6y=21

is second choice

5 0

3 years ago