Write an addition equation or a subtraction equation to describe the diagram

Answer:

[tex]\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}[/tex]

[tex] 4.525 \leq \sigma^2 \leq 7.602[/tex]

Now we just take square root on both sides of the interval and we got:

[tex] 2.127 \leq \sigma \leq 2.757[/tex]

Step-by-step explanation:

Information given

[tex]\bar X=32.1[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=2.4 represent the sample standard deviation

n=83 represent the sample size  

Confidence interval

The confidence interval for the population variance is given by the following formula:

[tex]\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}[/tex]

The degrees of freedom given by:

[tex]df=n-1=8-1=7[/tex]

The confidence level is 0.90 or 90%, the value of [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:

[tex]\chi^2_{\alpha/2}=104.139[/tex]

[tex]\chi^2_{1- \alpha/2}=62.132[/tex]

The confidence interval is given by:

[tex]\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}[/tex]

[tex] 4.525 \leq \sigma^2 \leq 7.602[/tex]

Now we just take square root on both sides of the interval and we got:

[tex] 2.127 \leq \sigma \leq 2.757[/tex]

Answer:

Step-by-step explanation:

9(2.3n+6)+10.45>43.7

(9*2.3n)+(9*6)+10.45>43.7

20.7n+54+10.45>43.7

20.7n+64.45>43.7

Answer:

We divided the figure in picture into 1 triangle and 2 rectangles.

Adding up the area of them, we get the total area:

A = area of triangle + area of 2 rectangles

   =  base x height/2 + length1 x width1 + length2 x width2

   = 13 x (4 + 13 + 8 - 12)/2 + 11 x 8 + 3 x 13

   = 211.5

Hope this helps!

:)

Answer:

Step-by-step explanation:

numbers are 8,9,10,11,12,13,14,15

total events(numbers)=8

multiples of 3 are 9,12,15

or favorable events are 9,12,15

number of favorable events=3

P=3/8

Answer:

x = -2

Step-by-step explanation:

The x coordinate of the midpoint is found by adding the x coordinates together and dividing by 2

( -4+0)/2 = -4/2 = -2

The y coordinate of the midpoint is found by adding the y coordinates together and dividing by 2

( 8+10)/2 = 18/2 = 9

Answer:

C i think

Step-by-step explanation:

Answer:

32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.

Step-by-step explanation:

We have these following probabilities:

48.6% probability that a randomly selected adult in North Dakota is a female.

If a randomly selected adult in North Dakota is over 18, 65.9% probability that they have enrolled in college at some point in their lives.

These events are independent.

This means that to find the probability that a randomly selected adult in North Dakota will be a female who has enrolled in college, we can just multiply these probabilities.

P = 0.486*0.659 = 0.32 = 32%

32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.

Answer:

the probability that a randomly selected adult in North Dakota will be a female who has enrolled in

college is 32%

Step-by-step explanation:

Given;

48.6% of the North Dakota population over 18 years old is female

P(f) = 48.6% = 0.486

65.9% of the total population of North Dakota over 18 years old has enrolled in college at some point in their lives;

P(c) = 65.9% = 0.659

Since, these two events are independent of each other, the probability that a randomly selected adult in North Dakota will be a female who has enrolled in

college is;

P(f∩c) = P(f) × P(c) = 0.486 × 0.659 = 0.320274

P(f∩c) = 0.32

P(f∩c) = 32%

Answer:

- 1/2     (or - 0.5)

Step-by-step explanation:

so first, simplify by combining like terms.

so 8w-6w = 2w

so now we have

2w - 8 = 4w - 7

now we have to get the w's to one side of the equation so we can solve for it. so that mean we have to subtract 2w from both sides. 2w - 2w is 0. and then 4w - 2w = 2w. so now we have

-8 = 2w - 7

then to slowly start isolating w, add 7 to both sides of th equation. so now its

-1 = 2w

finally to get w by itself divide 2 from both sides.

and the answer is

-[tex]\frac{1}{2}[/tex] = w

Answer:

16 miles

Step-by-step explanation:

We can write the ratio of miles:hours as 80:5 using the given information. Because we want to find the distance of 1 hour, we can divide the ratio by 5 (because 5/5 is 1, and we want 1 on the "right side") which gets us 16:1. This means that the motorcycle traveled 16 miles in one hour. Hope this helps!

Answer:

16 miles in 1 hour

Step-by-step explanation:

We can use ratios to solve

80 miles           x miles

------------------- = ------------------

5 hours             1 hours

Using cross products

80*1 = 5x

Divide each side by 5

80/5 = 5x/5

16 =x

16 miles in 1 hour

Answer:

15 students (30% of the students in class) scores a 95 on a quiz.

Therefore the total number of students (100% of the students) in class is:

N = 15 x 100/30 = 50 (students)

(This calculation is inferred from a ratio that 15/N = 30/100).

Denote the number of students who scored a 95 on a quiz is a, the total number of students in class is b.

Then the equation that related a and b is:

b = (100/30) x a

Hope this helps!

:)

Answer:

the third one

Step-by-step explanation:

Answer:

D (59,126.68, 61,939.32)

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound. These bounds depend of the sample mean and of the margin of error.

The lower bound is the sample mean subtracted by the margin of error.

The upper bound is the margin of error added to the sample mean.

In this question:

Sample mean: 60,533

Margin of error: 1406.32

Lower bound: 60,533 - 1406.32 = 59,126.28

Upper bound: 60,533 + 1406.32 = 61,939.32

So the correct answer is:

D (59,126.68, 61,939.32)

Answer:

The 32 electricians are expected to finish the job in 27 days.

Step-by-step explanation:

In this case we can apply a rule of three to calculate the time it'll take for the 32 electricians to finish the job. This is done below:

24 electricians -> 36 days

32 electricians -> x days

We have to be careful here, since the variables are inversely proportional, since if there are more electricians working on the same job, we expect the job to be finished in fewer days, therefore we need to invert one of the fractions as shown below:

[tex]\frac{24}{32} = \frac{x}{36}\\32*x = 36*24\\x = \frac{864}{32}\\x = 27[/tex]

The 32 electricians are expected to finish the job in 27 days.

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

diameter d=18 m

r=18/2=9 m

circumference=2πr=2π×9=18π square meters.

Answer:

Because if you multiply fractions you get a smaller number! for instance: (1/2)*(1/2)=(1/4) so you get a much smaller value. you merely multiply across so the denominator gets smaller.

Answer:

9 and 10

Step-by-step explanation:

We know that 9 can be expressed as √81, and 10 is equal to √100, and because 81 < 84 < 100, it is in between 9 and 10. Hope this helps!

Answer:

[tex] - 7x + 34[/tex]

Step-by-step explanation:

[tex]5x - 4(3x - 9) - 2 \\ 5x - 12x + 36 - 2 \\ = - 7x + 34[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-7x + 34

Step-by-step explanation:

Hopefully this is simplify...

5x - 12x + 36 - 2

-7x + 34

Reading the story, that's just

2c + j - d = $9 + $9 + $70 - $8 = 88 - 8 = $80

Answer: $80

Answer:

$80

Step-by-step explanation:

$9+$9= $18

$18 + $70= $88

$88 - $8= $80

Answer:

14 and 17

Step-by-step explanation:

x+y=41

y=2x-1

x+(2x-1)=41

3x-1=41

3x=42

x=14

y=2(14)-1=27

Step-by-step explanation:

Step 1:  Make a system of equation

The sum of two numbers is 41

    x        +        y        =        41

The larger number is one less than twice the smaller number.

    x                =                2y               -                1

Step 2:  Substitute x from the second equation into the first

[tex]x + y = 41[/tex]

[tex](2y - 1) + y = 41[/tex]

[tex]3y - 1+ 1 = 41 + 1[/tex]

[tex]3y/3 = 42 / 3[/tex]

[tex]y = 14[/tex]

Step 3:  Substitute y into the second equation

[tex]x = 2y - 1[/tex]

[tex]x = 2(14) - 1[/tex]

[tex]x = 28 - 1[/tex]

[tex]x = 27[/tex]

Answer:  [tex]x = 27, y = 14[/tex]

Answer:

325,452 more meteors fell during the Perseid meteor shower

Step-by-step explanation:

An year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in an year:

365*24*60 = 525600

Persoid:

[tex]1 + \frac{1}{5} = 1 + 0.2 = 1.2[/tex]

One each 1.2 minutes. How many during an year?

1 meteor - 1.2 minutes.

x meteors - 525600 minutes.

[tex]1.2x = 525600[/tex]

[tex]x = \frac{525600}{1.2}[/tex]

[tex]x = 438000[/tex]

438,000 meteors fell during the Persoid shower.

Leonid:

[tex]4 + \frac{2}{3} = 4.67[/tex]

One each 4.67 minutes. How many during an year.

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

[tex]4.67x = 525600[/tex]

[tex]x = \frac{525600}{4.67}[/tex]

[tex]x = 112548[/tex]

112,548 meteors fell during the Leonid Shower.

How many more meteors fell during the Perseid meteor shower?

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

Answer:

see below

Step-by-step explanation:

The trip takes 2 hours

Stopping every half hour means stopping at 30 minutes, 1 hour, 1.5 hours

We would not stop at 2 hours because we would be done.

One the number line R means rest stops

200 Km /4 means at 50 km, 100 km 150 km and 200 km

The rest stops are at 50 km 100 km 150 km  (the one at 200 is at the end of the trip so it is not a rest stop

We have to stop for gas 3/4 of the way

200 *3/4 = 150 km

We will stop for gas at a rest stop at 150 km

Answers and Step-by-step explanations:

(a)

We want to find where to stop, so let's calculate the distances between the different rest points.

This is a distance-rate-time problem, so we need to use the equation d = rt, where d is the distance, r is the rate, and t is the time. Here, d = 200 km and t = 2 hours. So:

200 = r * 2

r = 100

Your speed is 100 km/hr. Now, you plan on stopping every half hour. We know that you drive 100 km in 1 hour, so that means you drive 100/2 = 50 km in half an hour. So, we want to draw a number line where every 50 km, there's a rest stop (red on attachment).

See attachment.

(b) We need to get gas at Fort MacLeod, which is 3/4 of the way to Lethbridge. The total distance is 200 km, so 3/4 of that will be:

(3/4) * 200 = 600 / 4 = 150 km

So, mark the place that is 150 km (blue on attachment).

See attachment.

Note that the green simply represents your entire trip from Calgary (start) to Lethbridge (end).

Answer:

2

Step-by-step explanation:

Blue pants: 5

Zipper pants: 6

total amount of pants (blue, zipper or both): 9

to find the pants that have both qualities, we need to find the difference between the total amount of pants and the sum of the blue and zipper pants:

sum of blue and zipper pants: 5 + 6 = 11

you can tell that there is a difference of

11 - 9 = 2 pants

this means that these 2 pants belong to both categories (blue and with a zipper). Thus there are 2 pants that are blue and have a zipper

Answer:

[tex]f = \frac{ - 6g}{5} [/tex]

Step-by-step explanation:

6f + 9g = 3g + f

6f - f = 3g - 9g

5f = - 6g

[tex]f = \frac{ - 6g}{5} [/tex]

Answer:

B

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

1 yard is approximately 3 feet. The hypotenuse of the base (24 x 24) of the box is 33.94 inches. Then the hypotenuse of the Base's hypotenuse and the height of 14 inches is 36.72 inches, which is just over 3 feet, so the stick should fit.

1^5 is 1

4^7 is 16384

3^10 is 59049

The answer is C

Answer:

a) 1^5 = 1

b) 4^7 = 16384

c) 3^10 = 59049

C: 2^9 ≠ 1024

The exponent 8² = 64 while 8³ = 512, but 2² = 4 while 2³ = 8.

Step-by-step explanation:

Not much explanation but hope this helps!

he can be no cash in his account

Answer:

96

Step-by-step explanation:

eighth multiple of 12 = 12 * 8 = 96

Answer:

96

Step-by-step explanation:

12×1=12

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

12×8=96

Answer:

100 degrees

Step-by-step explanation:

The angle x is opposite the angle that is 100 degrees.

Since they are opposite each other, they are vertical angles.

This means that they are congruent, or equal to each other.

Therefore,

x=100

x is 100 degrees