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Answer:

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Step-by-step explanation:

The six measurements are:

202, 164, 157, 177, 113, 213

Sample mean:

Sum of all values divided by the number of values which is 6. So

[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]

Sample standard deviation:

Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So

[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]

Confidence interval

We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm

The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Answer:

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Answer:

Solution given:

x+120°=180°[linear pair][supplementary]

x=180°-120=60°

x=60° is your answer

O s

Step-by-step explanation:

The first fraction has the smallest value

Answer:

GURLLL I KNOW YOU KNOW 2+2=4. YES QUEEN SLAYYYY

Step-by-step explanation:

Step-by-step explanation:

Given,

r ÷ 6 = 10

=> r = 10 × 6

=> r = 60 (Ans)

LHS = r ÷ 6. RHS = 10

[By putting value r = 60 ]

= 60 ÷ 6

= 10

Hence,

Hence,LHS = RHS verified.

Answer:

16

Step-by-step explanation:

Answer:

16 feet is the length.

Step-by-step explanation:

The area of a rectangle is A = L x W

If we know the area then:

208 = L x 13

208/13 = L

L= 16 feet

Answer:

The answer to this question is 4.

Answer:

Step-by-step explanation:

part A= 34

part b=15 inches

part c= 3 1/3 feet

Answer:

third option

Step-by-step explanation:

the median - of 6 - divides the data set into halves (theoretically, number of cousins is 50% less than 6 and 50% more than 6)

Answer:

Step-by-step explanation:so you have to divide

Answer:

-4,0

Step-by-step explanation:

Answer:

√99

Step-by-step explanation:

a power 2 = 15 power 2 + a power 2

18 power 2 = 15 power 2 + x power 2

324 = 225 + x power 2

324 - 225 = 99 + power 2

so the answer is  √99

Answer:

solution:

the measure of arc AD

:

arc AD+arc CD=180° linear pair

arc AD=180-45=135°

the measure of arc AD=135 degree

Answer:

base=area=1/2b×h

Step-by-step explanation:

it's a pleasure to help you goodbye. if I'm wrong tell me right away.

Answer: A- she can not mow 1 and 1/4 in an hour.

Step-by-step explanation:

set up a ratio

[tex]\frac{.5}{25} =\frac{x}{60}[/tex] (1/2 acre is 25 minutes, x acre in 60 minutes)

cross multiply to solve

.5(60)=25x

30=25x

1.2=x- she can mow 1.2 acres in 60 minutes, 1.2= [tex]1\frac{1}{5}[/tex]

Answer:

This answer is A

Step-by-step explanation:

Just believe me its the right answer

Answer:

girls 57/100 57% 0.57

Step-by-step explanation:

boys 43/100 43% 0.43

all the ways

The portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.

It is given that there are total 100 students at a school in fourth grade out of which 57 are girls.

We have to find out the portion of girls in the fourth grade class and express it to decimal.

What is the decimal fractions ?

Decimal fractions are the fractions in which the denominator must be 10 or a multiple of 10 i.e., 100, 1000, 10000, and so on.

As per the question ;

57 are girls out of total 100 students in a class at a school.

The number of boys will be ;

= 100 - 57 = 43

The no. of girls in fraction form will be ;

= 57 / 100

and in the decimal form it will be ;

= 0.057

The no. of boys in decimal form will be ;

= 47 / 100

= 0.047

Thus , the portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.

To learn more about fraction and decimal form click here ;

https://brainly.com/question/2094121

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Answer:

41 mins

Step-by-step explanation:

246 cal burned in 60 mins

1 cal burned in 60÷246 mins

Thus,

170 cal Burned in 170×(60÷246) mins

= 41.46 mins

round to 41 mins

Answer:

No

Step-by-step explanation:

25-18 = 7 w

45-36=9 l

They don't match up ^

7x + 5(x + 3) + 4x + x + 2 =

= 7x + 5x + 15 + 4x + x + 2 = 17x + 17

Answer:

17x + 17

Step-by-step explanation:

Give me Brainllest

answer:

14 30

Step-by-step explanation:

208/32=6.5

6.5 hours is 6 hours 30 min

08 00 + 6h 30min =14 30/2.30

The ferry reached its destination at approximately 14:30 or 2:30 PM.

To determine the time the ferry reached its destination, we need to divide the distance traveled by the average speed of the ferry.

Distance traveled = 208 km

Average speed = 32 km/h

Time = Distance / Speed

Time = 208 km / 32 km/h

Calculating this, we find:

Time = 6.5 hours

Since the ferry started its journey at 08:00, we can add 6.5 hours to that time to determine the arrival time.

08:00 + 6.5 hours = 14:30

Therefore, the ferry reached its destination at approximately 14:30 or 2:30 PM.

To know more about destination click here:

https://brainly.com/question/14309510

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Answer:

5

Step-by-step explanation:

if u add al of these it equals 35 divided by 7 equals 5

Answer:

a. 3 3/4 miles

Step-by-step explanation:

15/4 =3 3/4

Answer:

$4.30 for 2 glass panes

Step-by-step explanation:

15.05/7=2.15

$2.15 per glass pane

2.15(2)=4.30

$4.30 for 2 glass panes

Answer:

c,e,f,

Step-by-step explanation:

The answer for this question is C, E and F .

Given that the length is 3 times the width. So firstly, you have to find the expression of length :

Let width = w,

Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :

Let length = 3w

Let width = w,

have a good day /night

may i please have a branllist

Answer:

15.71 cubic inches

257.41 cm³

0.26 liters

Step-by-step explanation: